{"id":1,"expression_no_base_symbol":"(($1311$∼$3865$⫥∨⫟($1195$⊠≄⫣))⩤)⪛($5297$⪮%⊝$1091$⪛($2851$⪒$3270$))⊴(⨑⩽⪐(⇁⨣⪵$3389$))","expression":"((∃⊬51F∼∃⊬F19⫥∨⫟(∃⊬4AB⊠≄⫣))⩤)⪛(∃⊬14B1⪮%⊝∃⊬443⪛(∃⊬B23⪒∃⊬CC6))⊴(⨑⩽⪐(⇁⨣⪵∃⊬D3D))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":220,"operation_count":11,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1311,"base":16},"right_expr":{"type":"numeric_atoms","value":3865,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1195,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5297,"base":16},"right_expr":{"type":"numeric_atoms","value":1091,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2851,"base":16},"right_expr":{"type":"numeric_atoms","value":3270,"base":16}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3389,"base":16}}}}},"used_operators":["uFcxV4UQCh","Z2TMIBDE3Q","KYD54nUTWz","DyGG3AbaNP","DIvbN7qnHd","Nsiff2A1zJ","IWmyXbctLI","f6k1SAg4EE","AF7qkfDlqP","inkyxCbjAn"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1311","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=3865, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=5297","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=5297, right_input=1091, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10910","layer":3},{"info":"number node, value=2851","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=2851, right_input=3270, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6121","layer":3},{"info":"compute binary expreesion, left_input=10910, right_input=-6121, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-1332","layer":2},{"info":"number node, value=3389","layer":4},{"info":"compute unary expreesion, input=3389, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1332, right_input=nan, 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 = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬51F∼∃⊬F19⫥∨⫟(∃⊬4AB⊠≄⫣))⩤)⪛(∃⊬14B1⪮%⊝∃⊬443⪛(∃⊬B23⪒∃⊬CC6))⊴(⨑⩽⪐(⇁⨣⪵∃⊬D3D))=NaN","reverse_text":"NaN=((∃⊬51F∼∃⊬F19⫥∨⫟(∃⊬4AB⊠≄⫣))⩤)⪛(∃⊬14B1⪮%⊝∃⊬443⪛(∃⊬B23⪒∃⊬CC6))⊴(⨑⩽⪐(⇁⨣⪵∃⊬D3D))","cot":[{"info":"∃⊬51F∼∃⊬F19=NaN","layer":3},{"info":"∃⊬4AB⊠≄⫣=∃⊬0","layer":3},{"info":"NaN⫥∨⫟∃⊬0=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"∃⊬14B1⪮%⊝∃⊬443=∃⊬2A9E","layer":3},{"info":"∃⊬B23⪒∃⊬CC6=∃⊬-17E9","layer":3},{"info":"∃⊬2A9E⪛∃⊬-17E9=∃⊬-534","layer":2},{"info":"⇁⨣⪵∃⊬D3D=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"∃⊬-534⊴NaN=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":2,"expression_no_base_symbol":"⊙↵-(($1363$⇼⇔∾$2585$)∑⇟⊟(≉$1411$)⩨$2923$∼$1411$+⇶⊼($1128$⨳⩥⨓$5558$))","expression":"⊙↵-((∃⊬553⇼⇔∾∃⊬A19)∑⇟⊟(≉∃⊬583)⩨∃⊬B6B∼∃⊬583+⇶⊼(∃⊬468⨳⩥⨓∃⊬15B6))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":99,"operation_count":8,"complexity_ratio":12.375,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1363,"base":16},"right_expr":{"type":"numeric_atoms","value":2585,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1411,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2923,"base":16},"right_expr":{"type":"numeric_atoms","value":1411,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1128,"base":16},"right_expr":{"type":"numeric_atoms","value":5558,"base":16}}}}},"used_operators":["oWn0xqSxBt","2DlMacCsIx","U7g4x0WXJJ","tifHPKVTfV","e1ybzncUwg","TpPTUOHfaN","DyGG3AbaNP","nCS4ZIUYfx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1363","layer":4},{"info":"number node, value=2585","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=2585, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1222","layer":3},{"info":"number node, value=1411","layer":4},{"info":"compute unary expreesion, input=1411, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1942","layer":3},{"info":"compute binary expreesion, left_input=1222, right_input=1942, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2923","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=2923, right_input=1411, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1128","layer":4},{"info":"number node, value=5558","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=5558, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4430","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4430, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬553⇼⇔∾∃⊬A19)∑⇟⊟(≉∃⊬583)⩨∃⊬B6B∼∃⊬583+⇶⊼(∃⊬468⨳⩥⨓∃⊬15B6))=NaN","reverse_text":"NaN=⊙↵-((∃⊬553⇼⇔∾∃⊬A19)∑⇟⊟(≉∃⊬583)⩨∃⊬B6B∼∃⊬583+⇶⊼(∃⊬468⨳⩥⨓∃⊬15B6))","cot":[{"info":"∃⊬553⇼⇔∾∃⊬A19=∃⊬4C6","layer":3},{"info":"≉∃⊬583=∃⊬796","layer":3},{"info":"∃⊬4C6∑⇟⊟∃⊬796=NaN","layer":2},{"info":"∃⊬B6B∼∃⊬583=NaN","layer":3},{"info":"∃⊬468⨳⩥⨓∃⊬15B6=∃⊬114E","layer":3},{"info":"NaN+⇶⊼∃⊬114E=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":3,"expression_no_base_symbol":"⇁⨣⪵(($3928$⫸⊐$3416$)≧⫂∧($2342$⋳⪒$1262$)⊠≄⫣)","expression":"⇁⨣⪵((∃⊬F58⫸⊐∃⊬D58)≧⫂∧(∃⊬926⋳⪒∃⊬4EE)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":5,"complexity_ratio":7.2,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3928,"base":16},"right_expr":{"type":"numeric_atoms","value":3416,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2342,"base":16},"right_expr":{"type":"numeric_atoms","value":1262,"base":16}}}}},"used_operators":["inkyxCbjAn","DIvbN7qnHd","Ph9nP6C5qx","mqXw5SEYmG","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3928","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=3928, right_input=3416, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13539","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1262, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3135","layer":3},{"info":"compute binary expreesion, left_input=13539, right_input=3135, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2662","layer":2},{"info":"compute unary expreesion, input=2662, 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":"⇁⨣⪵((∃⊬F58⫸⊐∃⊬D58)≧⫂∧(∃⊬926⋳⪒∃⊬4EE)⊠≄⫣)=∃⊬0","reverse_text":"∃⊬0=⇁⨣⪵((∃⊬F58⫸⊐∃⊬D58)≧⫂∧(∃⊬926⋳⪒∃⊬4EE)⊠≄⫣)","cot":[{"info":"∃⊬F58⫸⊐∃⊬D58=∃⊬34E3","layer":3},{"info":"∃⊬926⋳⪒∃⊬4EE=∃⊬C3F","layer":3},{"info":"∃⊬34E3≧⫂∧∃⊬C3F=∃⊬A66","layer":2},{"info":"∃⊬A66⊠≄⫣=∃⊬0","layer":1},{"info":"⇁⨣⪵∃⊬0=∃⊬0","layer":0}]}
{"id":4,"expression_no_base_symbol":"↥(($1038$⨁⊸⫻)⩷∴($6315$⋥≓≎$6094$))⨓(($1017$⨳⩥⨓$2230$)∧)","expression":"↥((∃⊬40E⨁⊸⫻)⩷∴(∃⊬18AB⋥≓≎∃⊬17CE))⨓((∃⊬3F9⨳⩥⨓∃⊬8B6)∧)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28,"operation_count":7,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1038,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6315,"base":16},"right_expr":{"type":"numeric_atoms","value":6094,"base":16}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1017,"base":16},"right_expr":{"type":"numeric_atoms","value":2230,"base":16}}}}},"used_operators":["A8NUZmVepG","3ViojmjbAp","9FxExcQeMw","glklzrTFfD","Qy55tPpLXF","z63VuFQld9","nCS4ZIUYfx"],"dependent_operators":["k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1038","layer":3},{"info":"number node, value=6315","layer":4},{"info":"number node, value=6094","layer":4},{"info":"compute binary expreesion, left_input=6315, right_input=6094, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5906","layer":3},{"info":"compute binary expreesion, left_input=1038, right_input=5906, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9768","layer":2},{"info":"number node, value=1017","layer":4},{"info":"number node, value=2230","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=2230, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1213","layer":3},{"info":"compute unary expreesion, input=1213, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9768, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨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":"↥((∃⊬40E⨁⊸⫻)⩷∴(∃⊬18AB⋥≓≎∃⊬17CE))⨓((∃⊬3F9⨳⩥⨓∃⊬8B6)∧)=NaN","reverse_text":"NaN=↥((∃⊬40E⨁⊸⫻)⩷∴(∃⊬18AB⋥≓≎∃⊬17CE))⨓((∃⊬3F9⨳⩥⨓∃⊬8B6)∧)","cot":[{"info":"∃⊬40E⨁⊸⫻=∃⊬40E","layer":3},{"info":"∃⊬18AB⋥≓≎∃⊬17CE=∃⊬1712","layer":3},{"info":"∃⊬40E⩷∴∃⊬1712=∃⊬-2628","layer":2},{"info":"∃⊬3F9⨳⩥⨓∃⊬8B6=∃⊬4BD","layer":3},{"info":"∃⊬4BD∧=NaN","layer":2},{"info":"∃⊬-2628⨓NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":5,"expression_no_base_symbol":"≦∁($3352$⪘⫢$8949$⨵⪆(≉$3425$))↬(⨑⩽⪐$6423$)↬(+⊝⨔$6915$)","expression":"≦∁(∃⊬D18⪘⫢∃⊬22F5⨵⪆(≉∃⊬D61))↬(⨑⩽⪐∃⊬1917)↬(+⊝⨔∃⊬1B03)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":65,"operation_count":8,"complexity_ratio":8.125,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3352,"base":16},"right_expr":{"type":"numeric_atoms","value":8949,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3425,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6423,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6915,"base":16}}}}},"used_operators":["9ICcGScMcE","B5M0gjZbta","2DQ55sFlQl","oacrs7FA3X","e1ybzncUwg","AF7qkfDlqP","DhbWaqg5eL"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3352","layer":4},{"info":"number node, value=8949","layer":4},{"info":"compute binary expreesion, left_input=3352, right_input=8949, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6580","layer":3},{"info":"number node, value=3425","layer":4},{"info":"compute unary expreesion, input=3425, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3956","layer":3},{"info":"compute binary expreesion, left_input=6580, right_input=3956, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6423","layer":4},{"info":"compute unary expreesion, input=6423, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6150","layer":3},{"info":"number node, value=6915","layer":4},{"info":"compute unary expreesion, input=6915, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-6150, right_input=1522, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"≦∁(∃⊬D18⪘⫢∃⊬22F5⨵⪆(≉∃⊬D61))↬(⨑⩽⪐∃⊬1917)↬(+⊝⨔∃⊬1B03)=NaN","reverse_text":"NaN=≦∁(∃⊬D18⪘⫢∃⊬22F5⨵⪆(≉∃⊬D61))↬(⨑⩽⪐∃⊬1917)↬(+⊝⨔∃⊬1B03)","cot":[{"info":"∃⊬D18⪘⫢∃⊬22F5=∃⊬19B4","layer":3},{"info":"≉∃⊬D61=∃⊬F74","layer":3},{"info":"∃⊬19B4⨵⪆∃⊬F74=∃⊬A0","layer":2},{"info":"⨑⩽⪐∃⊬1917=∃⊬-1806","layer":3},{"info":"+⊝⨔∃⊬1B03=∃⊬5F2","layer":3},{"info":"∃⊬-1806↬∃⊬5F2=NaN","layer":2},{"info":"∃⊬A0↬NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":6,"expression_no_base_symbol":"($4097$⊉≛↸$5316$)↬(⊄⩳↩$1267$)⨽(⪲⇎$1382$⨰$4230$)⋷(($3160$⩤)⇼⇔∾$2092$↬$1799$)⪢(($6213$≧⫂∧$7446$)⩠)","expression":"(∃⊬1001⊉≛↸∃⊬14C4)↬(⊄⩳↩∃⊬4F3)⨽(⪲⇎∃⊬566⨰∃⊬1086)⋷((∃⊬C58⩤)⇼⇔∾∃⊬82C↬∃⊬707)⪢((∃⊬1845≧⫂∧∃⊬1D16)⩠)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":50,"operation_count":13,"complexity_ratio":3.8461538461538463,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4097,"base":16},"right_expr":{"type":"numeric_atoms","value":5316,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1267,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1382,"base":16},"right_expr":{"type":"numeric_atoms","value":4230,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3160,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2092,"base":16},"right_expr":{"type":"numeric_atoms","value":1799,"base":16}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6213,"base":16},"right_expr":{"type":"numeric_atoms","value":7446,"base":16}}}}},"used_operators":["23Mk6UjR3U","8HhzD0ZcuI","B5M0gjZbta","DZ8iAZOCBD","8w2t5hMYqp","XPYlsWDdGa","eewbuw0ToL","dWAJyo7jo9","tifHPKVTfV","Z2TMIBDE3Q","sJAwomhLZr","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4097","layer":4},{"info":"number node, value=5316","layer":4},{"info":"compute binary expreesion, left_input=4097, right_input=5316, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8194","layer":3},{"info":"number node, value=1267","layer":4},{"info":"compute unary expreesion, input=1267, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3801","layer":3},{"info":"compute binary expreesion, left_input=8194, right_input=-3801, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=4230","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=4230, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2838","layer":3},{"info":"compute unary expreesion, input=-2838, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-5676","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5676, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3160","layer":4},{"info":"compute unary expreesion, input=3160, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3160","layer":3},{"info":"number node, value=2092","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2092, right_input=1799, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3160, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=6213","layer":4},{"info":"number node, value=7446","layer":4},{"info":"compute binary expreesion, left_input=6213, right_input=7446, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6973","layer":3},{"info":"compute unary expreesion, input=6973, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"(∃⊬1001⊉≛↸∃⊬14C4)↬(⊄⩳↩∃⊬4F3)⨽(⪲⇎∃⊬566⨰∃⊬1086)⋷((∃⊬C58⩤)⇼⇔∾∃⊬82C↬∃⊬707)⪢((∃⊬1845≧⫂∧∃⊬1D16)⩠)=NaN","reverse_text":"NaN=(∃⊬1001⊉≛↸∃⊬14C4)↬(⊄⩳↩∃⊬4F3)⨽(⪲⇎∃⊬566⨰∃⊬1086)⋷((∃⊬C58⩤)⇼⇔∾∃⊬82C↬∃⊬707)⪢((∃⊬1845≧⫂∧∃⊬1D16)⩠)","cot":[{"info":"∃⊬1001⊉≛↸∃⊬14C4=∃⊬2002","layer":3},{"info":"⊄⩳↩∃⊬4F3=∃⊬-ED9","layer":3},{"info":"∃⊬2002↬∃⊬-ED9=NaN","layer":2},{"info":"∃⊬566⨰∃⊬1086=∃⊬-B16","layer":3},{"info":"⪲⇎∃⊬-B16=∃⊬-162C","layer":2},{"info":"NaN⨽∃⊬-162C=NaN","layer":1},{"info":"∃⊬C58⩤=∃⊬-C58","layer":3},{"info":"∃⊬82C↬∃⊬707=NaN","layer":3},{"info":"∃⊬-C58⇼⇔∾NaN=NaN","layer":2},{"info":"∃⊬1845≧⫂∧∃⊬1D16=∃⊬1B3D","layer":3},{"info":"∃⊬1B3D⩠=∃⊬0","layer":2},{"info":"NaN⪢∃⊬0=∃⊬0","layer":1},{"info":"NaN⋷∃⊬0=NaN","layer":0}]}
{"id":7,"expression_no_base_symbol":"(⊥($3274$⪛$6543$⋥≓≎($1415$/$1893$)))⪒(≦∁$1278$⨸⪁$2551$)⨟⋌⩍(≦∁(↽≂$1839$))","expression":"(⊥(∃⊬CCA⪛∃⊬198F⋥≓≎(∃⊬587/∃⊬765)))⪒(≦∁∃⊬4FE⨸⪁∃⊬9F7)⨟⋌⩍(≦∁(↽≂∃⊬72F))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":836,"operation_count":10,"complexity_ratio":83.6,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3274,"base":16},"right_expr":{"type":"numeric_atoms","value":6543,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1415,"base":16},"right_expr":{"type":"numeric_atoms","value":1893,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1278,"base":16},"right_expr":{"type":"numeric_atoms","value":2551,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1839,"base":16}}}}},"used_operators":["f6k1SAg4EE","Q3PJZHRvZv","Qy55tPpLXF","uFcxV4UQCh","XhwjNDsVaA","rGHVDoGpnC","9ICcGScMcE","g55IO6H4Gj","u6S6b8DprG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","Tcnh7f0tEr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3274","layer":4},{"info":"number node, value=6543","layer":4},{"info":"compute binary expreesion, left_input=3274, right_input=6543, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3274","layer":3},{"info":"number node, value=1415","layer":4},{"info":"number node, value=1893","layer":4},{"info":"compute binary expreesion, left_input=1415, right_input=1893, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3274, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3241","layer":2},{"info":"compute unary expreesion, input=-3241, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=1278","layer":4},{"info":"number node, value=2551","layer":4},{"info":"compute binary expreesion, left_input=1278, right_input=2551, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7658","layer":3},{"info":"compute unary expreesion, input=7658, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7658","layer":2},{"info":"number node, value=1839","layer":4},{"info":"compute unary expreesion, input=1839, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3678","layer":3},{"info":"compute unary expreesion, input=-3678, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=7658, right_input=67, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":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":"(⊥(∃⊬CCA⪛∃⊬198F⋥≓≎(∃⊬587/∃⊬765)))⪒(≦∁∃⊬4FE⨸⪁∃⊬9F7)⨟⋌⩍(≦∁(↽≂∃⊬72F))=NaN","reverse_text":"NaN=(⊥(∃⊬CCA⪛∃⊬198F⋥≓≎(∃⊬587/∃⊬765)))⪒(≦∁∃⊬4FE⨸⪁∃⊬9F7)⨟⋌⩍(≦∁(↽≂∃⊬72F))","cot":[{"info":"∃⊬CCA⪛∃⊬198F=∃⊬CCA","layer":3},{"info":"∃⊬587/∃⊬765=∃⊬0","layer":3},{"info":"∃⊬CCA⋥≓≎∃⊬0=∃⊬-CA9","layer":2},{"info":"⊥∃⊬-CA9=NaN","layer":1},{"info":"∃⊬4FE⨸⪁∃⊬9F7=∃⊬1DEA","layer":3},{"info":"≦∁∃⊬1DEA=∃⊬1DEA","layer":2},{"info":"↽≂∃⊬72F=∃⊬-E5E","layer":3},{"info":"≦∁∃⊬-E5E=∃⊬43","layer":2},{"info":"∃⊬1DEA⨟⋌⩍∃⊬43=∃⊬0","layer":1},{"info":"NaN⪒∃⊬0=NaN","layer":0}]}
{"id":8,"expression_no_base_symbol":"(⨵≀≌($2002$⨽$2607$⨵⪆$1464$∼$1674$))⨽($1821$⊴$1808$⪨≂$5249$⊉≛↸$1556$)⪮%⊝($4471$∑⇟⊟$5443$⇼⇔∾($4874$%$4699$))","expression":"(⨵≀≌(∃⊬7D2⨽∃⊬A2F⨵⪆∃⊬5B8∼∃⊬68A))⨽(∃⊬71D⊴∃⊬710⪨≂∃⊬1481⊉≛↸∃⊬614)⪮%⊝(∃⊬1177∑⇟⊟∃⊬1543⇼⇔∾(∃⊬130A%∃⊬125B))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31607,"operation_count":12,"complexity_ratio":2633.9166666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2002,"base":16},"right_expr":{"type":"numeric_atoms","value":2607,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1464,"base":16},"right_expr":{"type":"numeric_atoms","value":1674,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1821,"base":16},"right_expr":{"type":"numeric_atoms","value":1808,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5249,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4471,"base":16},"right_expr":{"type":"numeric_atoms","value":5443,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4874,"base":16},"right_expr":{"type":"numeric_atoms","value":4699,"base":16}}}}},"used_operators":["8HhzD0ZcuI","srAu1WTS94","2DQ55sFlQl","DyGG3AbaNP","IWmyXbctLI","sdazOOVcIp","Nsiff2A1zJ","DZ8iAZOCBD","tifHPKVTfV","U7g4x0WXJJ","k8jYdgA6NY"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2002","layer":4},{"info":"number node, value=2607","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=2607, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12030519","layer":3},{"info":"number node, value=1464","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=1464, right_input=1674, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12030519, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=25600","layer":1},{"info":"number node, value=1821","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=1821, right_input=1808, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5249","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=5249, right_input=1556, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10498","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10498, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=4471","layer":4},{"info":"number node, value=5443","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=5443, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4874","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=4874, right_input=4699, op_id = k8jYdgA6NY binary_op_definition= 'None', output=175","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=175, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=25600, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌(∃⊬7D2⨽∃⊬A2F⨵⪆∃⊬5B8∼∃⊬68A))⨽(∃⊬71D⊴∃⊬710⪨≂∃⊬1481⊉≛↸∃⊬614)⪮%⊝(∃⊬1177∑⇟⊟∃⊬1543⇼⇔∾(∃⊬130A%∃⊬125B))=NaN","reverse_text":"NaN=(⨵≀≌(∃⊬7D2⨽∃⊬A2F⨵⪆∃⊬5B8∼∃⊬68A))⨽(∃⊬71D⊴∃⊬710⪨≂∃⊬1481⊉≛↸∃⊬614)⪮%⊝(∃⊬1177∑⇟⊟∃⊬1543⇼⇔∾(∃⊬130A%∃⊬125B))","cot":[{"info":"∃⊬7D2⨽∃⊬A2F=∃⊬-B79237","layer":3},{"info":"∃⊬5B8∼∃⊬68A=NaN","layer":3},{"info":"∃⊬-B79237⨵⪆NaN=∃⊬A0","layer":2},{"info":"⨵≀≌∃⊬A0=∃⊬6400","layer":1},{"info":"∃⊬71D⊴∃⊬710=NaN","layer":3},{"info":"∃⊬1481⊉≛↸∃⊬614=∃⊬2902","layer":3},{"info":"NaN⪨≂∃⊬2902=NaN","layer":2},{"info":"∃⊬1177∑⇟⊟∃⊬1543=NaN","layer":3},{"info":"∃⊬130A%∃⊬125B=∃⊬AF","layer":3},{"info":"NaN⇼⇔∾∃⊬AF=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"∃⊬6400⨽NaN=NaN","layer":0}]}
{"id":9,"expression_no_base_symbol":"(≉(⋗⩬⋾$6077$))≹⇙⪍(($1388$⋷$2149$)⋥≓≎(≉$1905$))↙((∥⊫$6241$⨽$4510$)⨸⪁($4847$≹⇙⪍$5812$∲⫓(⊄⩳↩$3310$)))","expression":"(≉(⋗⩬⋾∃⊬17BD))≹⇙⪍((∃⊬56C⋷∃⊬865)⋥≓≎(≉∃⊬771))↙((∥⊫∃⊬1861⨽∃⊬119E)⨸⪁(∃⊬12EF≹⇙⪍∃⊬16B4∲⫓(⊄⩳↩∃⊬CEE)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6276,"operation_count":13,"complexity_ratio":482.7692307692308,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6077,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1388,"base":16},"right_expr":{"type":"numeric_atoms","value":2149,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1905,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6241,"base":16},"right_expr":{"type":"numeric_atoms","value":4510,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4847,"base":16},"right_expr":{"type":"numeric_atoms","value":5812,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3310,"base":16}}}}},"used_operators":["yyfyN0ffXY","AHs5Up7iyr","e1ybzncUwg","DpFCA1CohY","Qy55tPpLXF","23Mk6UjR3U","g55IO6H4Gj","P8v4zCKN1o","8HhzD0ZcuI","i8ToyICDmI","8w2t5hMYqp"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6077","layer":4},{"info":"compute unary expreesion, input=6077, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18231","layer":3},{"info":"compute unary expreesion, input=-18231, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-18231","layer":2},{"info":"number node, value=1388","layer":4},{"info":"number node, value=2149","layer":4},{"info":"compute binary expreesion, left_input=1388, right_input=2149, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2910","layer":3},{"info":"number node, value=1905","layer":4},{"info":"compute unary expreesion, input=1905, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2436","layer":3},{"info":"compute binary expreesion, left_input=2910, right_input=2436, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1995","layer":2},{"info":"compute binary expreesion, left_input=-18231, right_input=1995, 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=6241","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=6241, right_input=4510, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-116862459","layer":3},{"info":"compute unary expreesion, input=-116862459, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=4847","layer":4},{"info":"number node, value=5812","layer":4},{"info":"compute binary expreesion, left_input=4847, right_input=5812, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3310","layer":4},{"info":"compute unary expreesion, input=3310, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9930","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9930, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉(⋗⩬⋾∃⊬17BD))≹⇙⪍((∃⊬56C⋷∃⊬865)⋥≓≎(≉∃⊬771))↙((∥⊫∃⊬1861⨽∃⊬119E)⨸⪁(∃⊬12EF≹⇙⪍∃⊬16B4∲⫓(⊄⩳↩∃⊬CEE)))=NaN","reverse_text":"NaN=(≉(⋗⩬⋾∃⊬17BD))≹⇙⪍((∃⊬56C⋷∃⊬865)⋥≓≎(≉∃⊬771))↙((∥⊫∃⊬1861⨽∃⊬119E)⨸⪁(∃⊬12EF≹⇙⪍∃⊬16B4∲⫓(⊄⩳↩∃⊬CEE)))","cot":[{"info":"⋗⩬⋾∃⊬17BD=∃⊬-4737","layer":3},{"info":"≉∃⊬-4737=∃⊬-4737","layer":2},{"info":"∃⊬56C⋷∃⊬865=∃⊬B5E","layer":3},{"info":"≉∃⊬771=∃⊬984","layer":3},{"info":"∃⊬B5E⋥≓≎∃⊬984=∃⊬7CB","layer":2},{"info":"∃⊬-4737≹⇙⪍∃⊬7CB=NaN","layer":1},{"info":"∃⊬1861⨽∃⊬119E=∃⊬-6F72DFB","layer":3},{"info":"∥⊫∃⊬-6F72DFB=∃⊬-37","layer":2},{"info":"∃⊬12EF≹⇙⪍∃⊬16B4=NaN","layer":3},{"info":"⊄⩳↩∃⊬CEE=∃⊬-26CA","layer":3},{"info":"NaN∲⫓∃⊬-26CA=NaN","layer":2},{"info":"∃⊬-37⨸⪁NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":10,"expression_no_base_symbol":"(($3809$+$1173$)⨸⪁(↽≂$1600$))↬(⪲⇎($2020$⫸⊐$2430$))⫌⩹⨱","expression":"((∃⊬EE1+∃⊬495)⨸⪁(↽≂∃⊬640))↬(⪲⇎(∃⊬7E4⫸⊐∃⊬97E))⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41,"operation_count":7,"complexity_ratio":5.857142857142857,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3809,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1600,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":2430,"base":16}}}}},"used_operators":["EBcxylXtPf","B5M0gjZbta","g55IO6H4Gj","W4YGzv6Whe","u6S6b8DprG","XPYlsWDdGa","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3809","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=3809, right_input=1173, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4982","layer":3},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3200","layer":3},{"info":"compute binary expreesion, left_input=4982, right_input=-3200, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=3564","layer":2},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2430","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2430, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9595","layer":3},{"info":"compute unary expreesion, input=9595, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=19190","layer":2},{"info":"compute binary expreesion, left_input=3564, right_input=19190, 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 = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬EE1+∃⊬495)⨸⪁(↽≂∃⊬640))↬(⪲⇎(∃⊬7E4⫸⊐∃⊬97E))⫌⩹⨱=NaN","reverse_text":"NaN=((∃⊬EE1+∃⊬495)⨸⪁(↽≂∃⊬640))↬(⪲⇎(∃⊬7E4⫸⊐∃⊬97E))⫌⩹⨱","cot":[{"info":"∃⊬EE1+∃⊬495=∃⊬1376","layer":3},{"info":"↽≂∃⊬640=∃⊬-C80","layer":3},{"info":"∃⊬1376⨸⪁∃⊬-C80=∃⊬DEC","layer":2},{"info":"∃⊬7E4⫸⊐∃⊬97E=∃⊬257B","layer":3},{"info":"⪲⇎∃⊬257B=∃⊬4AF6","layer":2},{"info":"∃⊬DEC↬∃⊬4AF6=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":11,"expression_no_base_symbol":"(($4502$⫌⩹⨱)≣⋋)⨟⋌⩍(($1044$⩤)≎⊠⪸($2020$⨸⪁$5618$))⨁⊸⫻","expression":"((∃⊬1196⫌⩹⨱)≣⋋)⨟⋌⩍((∃⊬414⩤)≎⊠⪸(∃⊬7E4⨸⪁∃⊬15F2))⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":798,"operation_count":7,"complexity_ratio":114.0,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4502,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1044,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":5618,"base":16}}}}},"used_operators":["glklzrTFfD","rGHVDoGpnC","Tcnh7f0tEr","EBcxylXtPf","bJkvcejdHO","Z2TMIBDE3Q","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10405","layer":3},{"info":"compute unary expreesion, input=10405, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1044","layer":3},{"info":"number node, value=2020","layer":4},{"info":"number node, value=5618","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=5618, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15276","layer":3},{"info":"compute binary expreesion, left_input=-1044, right_input=15276, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=270396","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=270396, 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 = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1196⫌⩹⨱)≣⋋)⨟⋌⩍((∃⊬414⩤)≎⊠⪸(∃⊬7E4⨸⪁∃⊬15F2))⨁⊸⫻=NaN","reverse_text":"NaN=((∃⊬1196⫌⩹⨱)≣⋋)⨟⋌⩍((∃⊬414⩤)≎⊠⪸(∃⊬7E4⨸⪁∃⊬15F2))⨁⊸⫻","cot":[{"info":"∃⊬1196⫌⩹⨱=∃⊬28A5","layer":3},{"info":"∃⊬28A5≣⋋=∃⊬0","layer":2},{"info":"∃⊬414⩤=∃⊬-414","layer":3},{"info":"∃⊬7E4⨸⪁∃⊬15F2=∃⊬3BAC","layer":3},{"info":"∃⊬-414≎⊠⪸∃⊬3BAC=∃⊬4203C","layer":2},{"info":"∃⊬0⨟⋌⩍∃⊬4203C=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":12,"expression_no_base_symbol":"(($3667$⩨$7478$⪒$1622$≭$4595$)⫸⊐($1672$⇼⇔∾$6512$-$1345$⊉≛↸$1296$))⋓((↩$4681$)⋝⋈⪟(-$1693$)⊉≛↸$4604$⨟⋌⩍$5139$⨪↰⇹($1707$⨵⪆$1235$))","expression":"((∃⊬E53⩨∃⊬1D36⪒∃⊬656≭∃⊬11F3)⫸⊐(∃⊬688⇼⇔∾∃⊬1970-∃⊬541⊉≛↸∃⊬510))⋓((↩∃⊬1249)⋝⋈⪟(-∃⊬69D)⊉≛↸∃⊬11FC⨟⋌⩍∃⊬1413⨪↰⇹(∃⊬6AB⨵⪆∃⊬4D3))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58,"operation_count":15,"complexity_ratio":3.8666666666666667,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3667,"base":16},"right_expr":{"type":"numeric_atoms","value":7478,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1622,"base":16},"right_expr":{"type":"numeric_atoms","value":4595,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1672,"base":16},"right_expr":{"type":"numeric_atoms","value":6512,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1345,"base":16},"right_expr":{"type":"numeric_atoms","value":1296,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4681,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1693,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4604,"base":16},"right_expr":{"type":"numeric_atoms","value":5139,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1707,"base":16},"right_expr":{"type":"numeric_atoms","value":1235,"base":16}}}}},"used_operators":["T2fj7uvVaJ","mqXw5SEYmG","f6k1SAg4EE","2DlMacCsIx","rxpJgHHUmx","rysDP5nf3Z","tifHPKVTfV","DZ8iAZOCBD","2DDjHMKMc0","jLgFTUHLKL","t8gj7n24qd","tmPS8pqC7x","rGHVDoGpnC","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3667","layer":4},{"info":"number node, value=7478","layer":4},{"info":"compute binary expreesion, left_input=3667, right_input=7478, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1622","layer":4},{"info":"number node, value=4595","layer":4},{"info":"compute binary expreesion, left_input=1622, right_input=4595, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1672","layer":4},{"info":"number node, value=6512","layer":4},{"info":"compute binary expreesion, left_input=1672, right_input=6512, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4840","layer":3},{"info":"number node, value=1345","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=1345, right_input=1296, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2690","layer":3},{"info":"compute binary expreesion, left_input=4840, right_input=2690, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2150","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2150, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=4681","layer":4},{"info":"compute unary expreesion, input=4681, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-34668","layer":3},{"info":"number node, value=1693","layer":4},{"info":"compute unary expreesion, input=1693, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1693","layer":3},{"info":"compute binary expreesion, left_input=-34668, right_input=-1693, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-34668","layer":2},{"info":"number node, value=4604","layer":4},{"info":"number node, value=5139","layer":4},{"info":"compute binary expreesion, left_input=4604, right_input=5139, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1707","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=1235, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-34668, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((∃⊬E53⩨∃⊬1D36⪒∃⊬656≭∃⊬11F3)⫸⊐(∃⊬688⇼⇔∾∃⊬1970-∃⊬541⊉≛↸∃⊬510))⋓((↩∃⊬1249)⋝⋈⪟(-∃⊬69D)⊉≛↸∃⊬11FC⨟⋌⩍∃⊬1413⨪↰⇹(∃⊬6AB⨵⪆∃⊬4D3))=NaN","reverse_text":"NaN=((∃⊬E53⩨∃⊬1D36⪒∃⊬656≭∃⊬11F3)⫸⊐(∃⊬688⇼⇔∾∃⊬1970-∃⊬541⊉≛↸∃⊬510))⋓((↩∃⊬1249)⋝⋈⪟(-∃⊬69D)⊉≛↸∃⊬11FC⨟⋌⩍∃⊬1413⨪↰⇹(∃⊬6AB⨵⪆∃⊬4D3))","cot":[{"info":"∃⊬E53⩨∃⊬1D36=∃⊬-6","layer":3},{"info":"∃⊬656≭∃⊬11F3=NaN","layer":3},{"info":"∃⊬-6⪒NaN=NaN","layer":2},{"info":"∃⊬688⇼⇔∾∃⊬1970=∃⊬12E8","layer":3},{"info":"∃⊬541⊉≛↸∃⊬510=∃⊬A82","layer":3},{"info":"∃⊬12E8-∃⊬A82=∃⊬866","layer":2},{"info":"NaN⫸⊐∃⊬866=NaN","layer":1},{"info":"↩∃⊬1249=∃⊬-876C","layer":3},{"info":"-∃⊬69D=∃⊬-69D","layer":3},{"info":"∃⊬-876C⋝⋈⪟∃⊬-69D=∃⊬-876C","layer":2},{"info":"∃⊬11FC⨟⋌⩍∃⊬1413=NaN","layer":3},{"info":"∃⊬6AB⨵⪆∃⊬4D3=∃⊬A0","layer":3},{"info":"NaN⨪↰⇹∃⊬A0=NaN","layer":2},{"info":"∃⊬-876C⊉≛↸NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":13,"expression_no_base_symbol":"((($1154$⫡⨏$2051$)⊠≄⫣)⨸⪁($2212$⪄$1000$⋷($4024$/$3925$)))⋓($1786$⋓$1045$⪨≂(⊄⩳↩$4981$)⋷(⋗⩬⋾(⋗⩬⋾$1752$)))","expression":"(((∃⊬482⫡⨏∃⊬803)⊠≄⫣)⨸⪁(∃⊬8A4⪄∃⊬3E8⋷(∃⊬FB8/∃⊬F55)))⋓(∃⊬6FA⋓∃⊬415⪨≂(⊄⩳↩∃⊬1375)⋷(⋗⩬⋾(⋗⩬⋾∃⊬6D8)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":154,"operation_count":13,"complexity_ratio":11.846153846153847,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1154,"base":16},"right_expr":{"type":"numeric_atoms","value":2051,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2212,"base":16},"right_expr":{"type":"numeric_atoms","value":1000,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4024,"base":16},"right_expr":{"type":"numeric_atoms","value":3925,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1786,"base":16},"right_expr":{"type":"numeric_atoms","value":1045,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4981,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1752,"base":16}}}}},"used_operators":["T2fj7uvVaJ","g55IO6H4Gj","DIvbN7qnHd","QMFrweE19q","23Mk6UjR3U","SUmda5xLS4","XhwjNDsVaA","sdazOOVcIp","8w2t5hMYqp","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1154","layer":4},{"info":"number node, value=2051","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2051, 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=10655","layer":3},{"info":"compute unary expreesion, input=10655, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2212","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2212, right_input=1000, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-327465","layer":3},{"info":"number node, value=4024","layer":4},{"info":"number node, value=3925","layer":4},{"info":"compute binary expreesion, left_input=4024, right_input=3925, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-327465, right_input=1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=654930","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=654930, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=1309860","layer":1},{"info":"number node, value=1786","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1786, right_input=1045, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4981","layer":4},{"info":"compute unary expreesion, input=4981, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14943","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14943, 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=29988","layer":2},{"info":"number node, value=1752","layer":4},{"info":"compute unary expreesion, input=1752, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5256","layer":3},{"info":"compute unary expreesion, input=-5256, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=15768","layer":2},{"info":"compute binary expreesion, left_input=29988, right_input=15768, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1548","layer":1},{"info":"compute binary expreesion, left_input=1309860, right_input=1548, 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":"(((∃⊬482⫡⨏∃⊬803)⊠≄⫣)⨸⪁(∃⊬8A4⪄∃⊬3E8⋷(∃⊬FB8/∃⊬F55)))⋓(∃⊬6FA⋓∃⊬415⪨≂(⊄⩳↩∃⊬1375)⋷(⋗⩬⋾(⋗⩬⋾∃⊬6D8)))=∃⊬0","reverse_text":"∃⊬0=(((∃⊬482⫡⨏∃⊬803)⊠≄⫣)⨸⪁(∃⊬8A4⪄∃⊬3E8⋷(∃⊬FB8/∃⊬F55)))⋓(∃⊬6FA⋓∃⊬415⪨≂(⊄⩳↩∃⊬1375)⋷(⋗⩬⋾(⋗⩬⋾∃⊬6D8)))","cot":[{"info":"∃⊬482⫡⨏∃⊬803=∃⊬299F","layer":3},{"info":"∃⊬299F⊠≄⫣=∃⊬0","layer":2},{"info":"∃⊬8A4⪄∃⊬3E8=∃⊬-4FF29","layer":3},{"info":"∃⊬FB8/∃⊬F55=∃⊬1","layer":3},{"info":"∃⊬-4FF29⋷∃⊬1=∃⊬9FE52","layer":2},{"info":"∃⊬0⨸⪁∃⊬9FE52=∃⊬13FCA4","layer":1},{"info":"∃⊬6FA⋓∃⊬415=∃⊬0","layer":3},{"info":"⊄⩳↩∃⊬1375=∃⊬-3A5F","layer":3},{"info":"∃⊬0⪨≂∃⊬-3A5F=∃⊬7524","layer":2},{"info":"⋗⩬⋾∃⊬6D8=∃⊬-1488","layer":3},{"info":"⋗⩬⋾∃⊬-1488=∃⊬3D98","layer":2},{"info":"∃⊬7524⋷∃⊬3D98=∃⊬60C","layer":1},{"info":"∃⊬13FCA4⋓∃⊬60C=∃⊬0","layer":0}]}
{"id":14,"expression_no_base_symbol":"(($1683$⨵⪆$3238$)⇋≉)⋝⋈⪟(($1012$⊘)⩷∴(⨵≀≌$2388$))⨽(($2230$⪒$2817$⪨≂$1016$⩨$1061$)≦≮≮)","expression":"((∃⊬693⨵⪆∃⊬CA6)⇋≉)⋝⋈⪟((∃⊬3F4⊘)⩷∴(⨵≀≌∃⊬954))⨽((∃⊬8B6⪒∃⊬B01⪨≂∃⊬3F8⩨∃⊬425)≦≮≮)","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":281,"operation_count":11,"complexity_ratio":25.545454545454547,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1683,"base":16},"right_expr":{"type":"numeric_atoms","value":3238,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1012,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2388,"base":16}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2230,"base":16},"right_expr":{"type":"numeric_atoms","value":2817,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1016,"base":16},"right_expr":{"type":"numeric_atoms","value":1061,"base":16}}}}},"used_operators":["8HhzD0ZcuI","2DDjHMKMc0","XIabStNQrY","2DQ55sFlQl","9FxExcQeMw","gu96TGCTMs","srAu1WTS94","D4vGDi5EA2","sdazOOVcIp","f6k1SAg4EE","2DlMacCsIx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-39B7C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1683","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=1683, right_input=3238, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=222","layer":2},{"info":"number node, value=1012","layer":4},{"info":"compute unary expreesion, input=1012, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7164","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7164, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=14296","layer":2},{"info":"compute binary expreesion, left_input=222, right_input=14296, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=222","layer":1},{"info":"number node, value=2230","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=2817, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5047","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1061, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-5047, right_input=-3, 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=-9986","layer":2},{"info":"compute unary expreesion, input=-9986, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=29958","layer":1},{"info":"compute binary expreesion, left_input=222, right_input=29958, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-236412","layer":0}],"base":16,"result_base":16,"text":"((∃⊬693⨵⪆∃⊬CA6)⇋≉)⋝⋈⪟((∃⊬3F4⊘)⩷∴(⨵≀≌∃⊬954))⨽((∃⊬8B6⪒∃⊬B01⪨≂∃⊬3F8⩨∃⊬425)≦≮≮)=∃⊬-39B7C","reverse_text":"∃⊬-39B7C=((∃⊬693⨵⪆∃⊬CA6)⇋≉)⋝⋈⪟((∃⊬3F4⊘)⩷∴(⨵≀≌∃⊬954))⨽((∃⊬8B6⪒∃⊬B01⪨≂∃⊬3F8⩨∃⊬425)≦≮≮)","cot":[{"info":"∃⊬693⨵⪆∃⊬CA6=∃⊬A0","layer":3},{"info":"∃⊬A0⇋≉=∃⊬DE","layer":2},{"info":"∃⊬3F4⊘=∃⊬0","layer":3},{"info":"⨵≀≌∃⊬954=∃⊬-1BFC","layer":3},{"info":"∃⊬0⩷∴∃⊬-1BFC=∃⊬37D8","layer":2},{"info":"∃⊬DE⋝⋈⪟∃⊬37D8=∃⊬DE","layer":1},{"info":"∃⊬8B6⪒∃⊬B01=∃⊬-13B7","layer":3},{"info":"∃⊬3F8⩨∃⊬425=∃⊬-3","layer":3},{"info":"∃⊬-13B7⪨≂∃⊬-3=∃⊬-2702","layer":2},{"info":"∃⊬-2702≦≮≮=∃⊬7506","layer":1},{"info":"∃⊬DE⨽∃⊬7506=∃⊬-39B7C","layer":0}]}
{"id":15,"expression_no_base_symbol":"⊙↵-(((↽≂$6055$)⩨$1332$⨳⩥⨓$1010$)⨪↰⇹(⊙↵-($1885$⊉≛↸$3913$)))","expression":"⊙↵-(((↽≂∃⊬17A7)⩨∃⊬534⨳⩥⨓∃⊬3F2)⨪↰⇹(⊙↵-(∃⊬75D⊉≛↸∃⊬F49)))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3856,"operation_count":7,"complexity_ratio":550.8571428571429,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6055,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1332,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1885,"base":16},"right_expr":{"type":"numeric_atoms","value":3913,"base":16}}}}},"used_operators":["oWn0xqSxBt","tmPS8pqC7x","2DlMacCsIx","u6S6b8DprG","nCS4ZIUYfx","DZ8iAZOCBD"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6055","layer":4},{"info":"compute unary expreesion, input=6055, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12110","layer":3},{"info":"number node, value=1332","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=1332, right_input=1010, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-322","layer":3},{"info":"compute binary expreesion, left_input=-12110, right_input=-322, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1885","layer":4},{"info":"number node, value=3913","layer":4},{"info":"compute binary expreesion, left_input=1885, right_input=3913, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3770","layer":3},{"info":"compute unary expreesion, input=3770, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(((↽≂∃⊬17A7)⩨∃⊬534⨳⩥⨓∃⊬3F2)⨪↰⇹(⊙↵-(∃⊬75D⊉≛↸∃⊬F49)))=∃⊬0","reverse_text":"∃⊬0=⊙↵-(((↽≂∃⊬17A7)⩨∃⊬534⨳⩥⨓∃⊬3F2)⨪↰⇹(⊙↵-(∃⊬75D⊉≛↸∃⊬F49)))","cot":[{"info":"↽≂∃⊬17A7=∃⊬-2F4E","layer":3},{"info":"∃⊬534⨳⩥⨓∃⊬3F2=∃⊬-142","layer":3},{"info":"∃⊬-2F4E⩨∃⊬-142=∃⊬0","layer":2},{"info":"∃⊬75D⊉≛↸∃⊬F49=∃⊬EBA","layer":3},{"info":"⊙↵-∃⊬EBA=∃⊬-1","layer":2},{"info":"∃⊬0⨪↰⇹∃⊬-1=∃⊬0","layer":1},{"info":"⊙↵-∃⊬0=∃⊬0","layer":0}]}
{"id":16,"expression_no_base_symbol":"(($1082$⋷$4562$)⪘⫢$6243$⨟⋌⩍$2943$⪄(⊄⩳↩($7486$⊘)))⫥∨⫟(($6102$⪢$3984$⋫)∲⫓((↩$1548$)⋷($1018$⫡⨏$2619$)))","expression":"((∃⊬43A⋷∃⊬11D2)⪘⫢∃⊬1863⨟⋌⩍∃⊬B7F⪄(⊄⩳↩(∃⊬1D3E⊘)))⫥∨⫟((∃⊬17D6⪢∃⊬F90⋫)∲⫓((↩∃⊬60C)⋷(∃⊬3FA⫡⨏∃⊬A3B)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4349,"operation_count":13,"complexity_ratio":334.53846153846155,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1082,"base":16},"right_expr":{"type":"numeric_atoms","value":4562,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6243,"base":16},"right_expr":{"type":"numeric_atoms","value":2943,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":7486,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6102,"base":16},"right_expr":{"type":"numeric_atoms","value":3984,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1548,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1018,"base":16},"right_expr":{"type":"numeric_atoms","value":2619,"base":16}}}}},"used_operators":["KYD54nUTWz","SUmda5xLS4","oacrs7FA3X","23Mk6UjR3U","rGHVDoGpnC","8w2t5hMYqp","gu96TGCTMs","i8ToyICDmI","JL8yIekQnl","dWAJyo7jo9","jLgFTUHLKL","QMFrweE19q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=4562, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8042","layer":3},{"info":"number node, value=6243","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=6243, right_input=2943, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8042, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=7486","layer":4},{"info":"compute unary expreesion, input=7486, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=6102","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=3984, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9604","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2619","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2619, 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=11111","layer":3},{"info":"compute binary expreesion, left_input=-9604, right_input=11111, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=19208","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19208, 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=3979, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬43A⋷∃⊬11D2)⪘⫢∃⊬1863⨟⋌⩍∃⊬B7F⪄(⊄⩳↩(∃⊬1D3E⊘)))⫥∨⫟((∃⊬17D6⪢∃⊬F90⋫)∲⫓((↩∃⊬60C)⋷(∃⊬3FA⫡⨏∃⊬A3B)))=NaN","reverse_text":"NaN=((∃⊬43A⋷∃⊬11D2)⪘⫢∃⊬1863⨟⋌⩍∃⊬B7F⪄(⊄⩳↩(∃⊬1D3E⊘)))⫥∨⫟((∃⊬17D6⪢∃⊬F90⋫)∲⫓((↩∃⊬60C)⋷(∃⊬3FA⫡⨏∃⊬A3B)))","cot":[{"info":"∃⊬43A⋷∃⊬11D2=∃⊬1F6A","layer":3},{"info":"∃⊬1863⨟⋌⩍∃⊬B7F=NaN","layer":3},{"info":"∃⊬1F6A⪘⫢NaN=NaN","layer":2},{"info":"∃⊬1D3E⊘=∃⊬0","layer":3},{"info":"⊄⩳↩∃⊬0=∃⊬0","layer":2},{"info":"NaN⪄∃⊬0=∃⊬F8B","layer":1},{"info":"∃⊬17D6⪢∃⊬F90=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"↩∃⊬60C=∃⊬-2584","layer":3},{"info":"∃⊬3FA⫡⨏∃⊬A3B=∃⊬2B67","layer":3},{"info":"∃⊬-2584⋷∃⊬2B67=∃⊬4B08","layer":2},{"info":"NaN∲⫓∃⊬4B08=∃⊬0","layer":1},{"info":"∃⊬F8B⫥∨⫟∃⊬0=NaN","layer":0}]}
{"id":17,"expression_no_base_symbol":"($6997$∲⫓$2705$+$1633$⪄$1750$)⪮%⊝(($6222$⊭↱$1285$)⨐⩸⫘(⨵≀≌$8566$))⪠⩆⊳","expression":"(∃⊬1B55∲⫓∃⊬A91+∃⊬661⪄∃⊬6D6)⪮%⊝((∃⊬184E⊭↱∃⊬505)⨐⩸⫘(⨵≀≌∃⊬2176))⪠⩆⊳","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":123,"operation_count":8,"complexity_ratio":15.375,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6997,"base":16},"right_expr":{"type":"numeric_atoms","value":2705,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1633,"base":16},"right_expr":{"type":"numeric_atoms","value":1750,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6222,"base":16},"right_expr":{"type":"numeric_atoms","value":1285,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":8566,"base":16}}}}},"used_operators":["JLbD19bQDL","IWmyXbctLI","W4YGzv6Whe","i8ToyICDmI","SUmda5xLS4","fu6greOZ01","COABgblf1C","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6997","layer":4},{"info":"number node, value=2705","layer":4},{"info":"compute binary expreesion, left_input=6997, right_input=2705, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=1750, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-244773","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-244773, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-244773","layer":2},{"info":"number node, value=6222","layer":4},{"info":"number node, value=1285","layer":4},{"info":"compute binary expreesion, left_input=6222, right_input=1285, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-9869","layer":3},{"info":"number node, value=8566","layer":4},{"info":"compute unary expreesion, input=8566, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-25698","layer":3},{"info":"compute binary expreesion, left_input=-9869, right_input=-25698, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-244773, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1B55∲⫓∃⊬A91+∃⊬661⪄∃⊬6D6)⪮%⊝((∃⊬184E⊭↱∃⊬505)⨐⩸⫘(⨵≀≌∃⊬2176))⪠⩆⊳=NaN","reverse_text":"NaN=(∃⊬1B55∲⫓∃⊬A91+∃⊬661⪄∃⊬6D6)⪮%⊝((∃⊬184E⊭↱∃⊬505)⨐⩸⫘(⨵≀≌∃⊬2176))⪠⩆⊳","cot":[{"info":"∃⊬1B55∲⫓∃⊬A91=∃⊬0","layer":3},{"info":"∃⊬661⪄∃⊬6D6=∃⊬-3BC25","layer":3},{"info":"∃⊬0+∃⊬-3BC25=∃⊬-3BC25","layer":2},{"info":"∃⊬184E⊭↱∃⊬505=∃⊬-268D","layer":3},{"info":"⨵≀≌∃⊬2176=∃⊬-6462","layer":3},{"info":"∃⊬-268D⨐⩸⫘∃⊬-6462=NaN","layer":2},{"info":"∃⊬-3BC25⪮%⊝NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":18,"expression_no_base_symbol":"⨑⩽⪐($2325$⨸⪁$5270$)≎⊠⪸($2578$∲⫓$6020$)⫥∨⫟((↥$1475$)⋷$3951$-$1164$)","expression":"⨑⩽⪐(∃⊬915⨸⪁∃⊬1496)≎⊠⪸(∃⊬A12∲⫓∃⊬1784)⫥∨⫟((↥∃⊬5C3)⋷∃⊬F6F-∃⊬48C)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":467,"operation_count":8,"complexity_ratio":58.375,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2325,"base":16},"right_expr":{"type":"numeric_atoms","value":5270,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2578,"base":16},"right_expr":{"type":"numeric_atoms","value":6020,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1475,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3951,"base":16},"right_expr":{"type":"numeric_atoms","value":1164,"base":16}}}}},"used_operators":["AF7qkfDlqP","KYD54nUTWz","bJkvcejdHO","g55IO6H4Gj","i8ToyICDmI","23Mk6UjR3U","A8NUZmVepG","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2325","layer":4},{"info":"number node, value=5270","layer":4},{"info":"compute binary expreesion, left_input=2325, right_input=5270, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15190","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=6020","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=6020, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=15190, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=3933737","layer":2},{"info":"number node, value=1475","layer":4},{"info":"compute unary expreesion, input=1475, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=47","layer":3},{"info":"number node, value=3951","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=1164, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2787","layer":3},{"info":"compute binary expreesion, left_input=47, right_input=2787, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-94","layer":2},{"info":"compute binary expreesion, left_input=3933737, right_input=-94, 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":"⨑⩽⪐(∃⊬915⨸⪁∃⊬1496)≎⊠⪸(∃⊬A12∲⫓∃⊬1784)⫥∨⫟((↥∃⊬5C3)⋷∃⊬F6F-∃⊬48C)=NaN","reverse_text":"NaN=⨑⩽⪐(∃⊬915⨸⪁∃⊬1496)≎⊠⪸(∃⊬A12∲⫓∃⊬1784)⫥∨⫟((↥∃⊬5C3)⋷∃⊬F6F-∃⊬48C)","cot":[{"info":"∃⊬915⨸⪁∃⊬1496=∃⊬3B56","layer":3},{"info":"∃⊬A12∲⫓∃⊬1784=∃⊬0","layer":3},{"info":"∃⊬3B56≎⊠⪸∃⊬0=∃⊬3C0629","layer":2},{"info":"↥∃⊬5C3=∃⊬2F","layer":3},{"info":"∃⊬F6F-∃⊬48C=∃⊬AE3","layer":3},{"info":"∃⊬2F⋷∃⊬AE3=∃⊬-5E","layer":2},{"info":"∃⊬3C0629⫥∨⫟∃⊬-5E=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":19,"expression_no_base_symbol":"$2047$⪢$2540$⨪↰⇹($3640$∑⇟⊟$2978$)⋓(≤/$3138$≎⊠⪸$2448$)⪨≂(↯⪼($1733$↺$1756$))⨰($4079$⨸⪁$3179$+($4009$∸))","expression":"∃⊬7FF⪢∃⊬9EC⨪↰⇹(∃⊬E38∑⇟⊟∃⊬BA2)⋓(≤/∃⊬C42≎⊠⪸∃⊬990)⪨≂(↯⪼(∃⊬6C5↺∃⊬6DC))⨰(∃⊬FEF⨸⪁∃⊬C6B+(∃⊬FA9∸))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3051,"operation_count":13,"complexity_ratio":234.69230769230768,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2047,"base":16},"right_expr":{"type":"numeric_atoms","value":2540,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3640,"base":16},"right_expr":{"type":"numeric_atoms","value":2978,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3138,"base":16},"right_expr":{"type":"numeric_atoms","value":2448,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1733,"base":16},"right_expr":{"type":"numeric_atoms","value":1756,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4079,"base":16},"right_expr":{"type":"numeric_atoms","value":3179,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4009,"base":16}}}}},"used_operators":["sdazOOVcIp","T2fj7uvVaJ","tmPS8pqC7x","dWAJyo7jo9","U7g4x0WXJJ","eLAdDNolq6","bJkvcejdHO","eewbuw0ToL","8jW3W4yZS5","7j4O788W3g","W4YGzv6Whe","g55IO6H4Gj","o20kRiQErp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x"],"result":"∃⊬7346","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2047","layer":4},{"info":"number node, value=2540","layer":4},{"info":"compute binary expreesion, left_input=2047, right_input=2540, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3640","layer":4},{"info":"number node, value=2978","layer":4},{"info":"compute binary expreesion, left_input=3640, right_input=2978, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3138","layer":4},{"info":"number node, value=2448","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=2448, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=812269","layer":3},{"info":"compute unary expreesion, input=812269, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-811785","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-811785, 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=1733","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1756, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1756","layer":3},{"info":"compute unary expreesion, input=1756, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=4079","layer":4},{"info":"number node, value=3179","layer":4},{"info":"compute binary expreesion, left_input=4079, right_input=3179, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14516","layer":3},{"info":"number node, value=4009","layer":4},{"info":"compute unary expreesion, input=4009, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=14516, right_input=177, op_id = W4YGzv6Whe binary_op_definition= 'None', output=14693","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=14693, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-14704","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-14704, 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=29510","layer":0}],"base":16,"result_base":16,"text":"∃⊬7FF⪢∃⊬9EC⨪↰⇹(∃⊬E38∑⇟⊟∃⊬BA2)⋓(≤/∃⊬C42≎⊠⪸∃⊬990)⪨≂(↯⪼(∃⊬6C5↺∃⊬6DC))⨰(∃⊬FEF⨸⪁∃⊬C6B+(∃⊬FA9∸))=∃⊬7346","reverse_text":"∃⊬7346=∃⊬7FF⪢∃⊬9EC⨪↰⇹(∃⊬E38∑⇟⊟∃⊬BA2)⋓(≤/∃⊬C42≎⊠⪸∃⊬990)⪨≂(↯⪼(∃⊬6C5↺∃⊬6DC))⨰(∃⊬FEF⨸⪁∃⊬C6B+(∃⊬FA9∸))","cot":[{"info":"∃⊬7FF⪢∃⊬9EC=NaN","layer":3},{"info":"∃⊬E38∑⇟⊟∃⊬BA2=NaN","layer":3},{"info":"NaN⨪↰⇹NaN=NaN","layer":2},{"info":"∃⊬C42≎⊠⪸∃⊬990=∃⊬C64ED","layer":3},{"info":"≤/∃⊬C64ED=∃⊬-C6309","layer":2},{"info":"NaN⋓∃⊬-C6309=∃⊬0","layer":1},{"info":"∃⊬6C5↺∃⊬6DC=∃⊬6DC","layer":3},{"info":"↯⪼∃⊬6DC=∃⊬-15","layer":2},{"info":"∃⊬FEF⨸⪁∃⊬C6B=∃⊬38B4","layer":3},{"info":"∃⊬FA9∸=∃⊬B1","layer":3},{"info":"∃⊬38B4+∃⊬B1=∃⊬3965","layer":2},{"info":"∃⊬-15⨰∃⊬3965=∃⊬-3970","layer":1},{"info":"∃⊬0⪨≂∃⊬-3970=∃⊬7346","layer":0}]}
{"id":20,"expression_no_base_symbol":"((⨰⫟⨤($2353$⊭∹↮))⪒($4733$⨸⪁$6795$)⩚⊴⇥($2950$⫸⊐$2068$))⋓(($3740$≭$1126$)⪛(↣≠⋷$1133$))⪮%⊝($3138$⋓$4864$⋷(∂$1521$))","expression":"((⨰⫟⨤(∃⊬931⊭∹↮))⪒(∃⊬127D⨸⪁∃⊬1A8B)⩚⊴⇥(∃⊬B86⫸⊐∃⊬814))⋓((∃⊬E9C≭∃⊬466)⪛(↣≠⋷∃⊬46D))⪮%⊝(∃⊬C42⋓∃⊬1300⋷(∂∃⊬5F1))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":18069,"operation_count":14,"complexity_ratio":1290.642857142857,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2353,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4733,"base":16},"right_expr":{"type":"numeric_atoms","value":6795,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2950,"base":16},"right_expr":{"type":"numeric_atoms","value":2068,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3740,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1133,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3138,"base":16},"right_expr":{"type":"numeric_atoms","value":4864,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1521,"base":16}}}}},"used_operators":["T2fj7uvVaJ","f6k1SAg4EE","Tw270M8GLb","xNBdhnnwKq","NTOWxs364D","g55IO6H4Gj","mqXw5SEYmG","IWmyXbctLI","uFcxV4UQCh","rxpJgHHUmx","Asc51vEJeQ","23Mk6UjR3U","Uaa54Peajs"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2353","layer":4},{"info":"compute unary expreesion, input=2353, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4706","layer":3},{"info":"compute unary expreesion, input=4706, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=4733","layer":4},{"info":"number node, value=6795","layer":4},{"info":"compute binary expreesion, left_input=4733, right_input=6795, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23056","layer":3},{"info":"number node, value=2950","layer":4},{"info":"number node, value=2068","layer":4},{"info":"compute binary expreesion, left_input=2950, right_input=2068, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8147","layer":3},{"info":"compute binary expreesion, left_input=23056, right_input=8147, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-31324","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-31324, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3740","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=3740, right_input=1126, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1133","layer":4},{"info":"compute unary expreesion, input=1133, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3138","layer":4},{"info":"number node, value=4864","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=4864, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1521","layer":4},{"info":"compute unary expreesion, input=1521, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤(∃⊬931⊭∹↮))⪒(∃⊬127D⨸⪁∃⊬1A8B)⩚⊴⇥(∃⊬B86⫸⊐∃⊬814))⋓((∃⊬E9C≭∃⊬466)⪛(↣≠⋷∃⊬46D))⪮%⊝(∃⊬C42⋓∃⊬1300⋷(∂∃⊬5F1))=NaN","reverse_text":"NaN=((⨰⫟⨤(∃⊬931⊭∹↮))⪒(∃⊬127D⨸⪁∃⊬1A8B)⩚⊴⇥(∃⊬B86⫸⊐∃⊬814))⋓((∃⊬E9C≭∃⊬466)⪛(↣≠⋷∃⊬46D))⪮%⊝(∃⊬C42⋓∃⊬1300⋷(∂∃⊬5F1))","cot":[{"info":"∃⊬931⊭∹↮=∃⊬1262","layer":3},{"info":"⨰⫟⨤∃⊬1262=NaN","layer":2},{"info":"∃⊬127D⨸⪁∃⊬1A8B=∃⊬5A10","layer":3},{"info":"∃⊬B86⫸⊐∃⊬814=∃⊬1FD3","layer":3},{"info":"∃⊬5A10⩚⊴⇥∃⊬1FD3=∃⊬-7A5C","layer":2},{"info":"NaN⪒∃⊬-7A5C=NaN","layer":1},{"info":"∃⊬E9C≭∃⊬466=NaN","layer":3},{"info":"↣≠⋷∃⊬46D=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"∃⊬C42⋓∃⊬1300=∃⊬0","layer":3},{"info":"∂∃⊬5F1=NaN","layer":3},{"info":"∃⊬0⋷NaN=∃⊬0","layer":2},{"info":"NaN⪮%⊝∃⊬0=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":21,"expression_no_base_symbol":"(≉($3031$%$1070$)⪛($1127$∀⇚≩$1573$))↬(≤/(⊄⩳↩$1121$)⪢($1313$∼$1280$))","expression":"(≉(∃⊬BD7%∃⊬42E)⪛(∃⊬467∀⇚≩∃⊬625))↬(≤/(⊄⩳↩∃⊬461)⪢(∃⊬521∼∃⊬500))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":7929,"operation_count":9,"complexity_ratio":881.0,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3031,"base":16},"right_expr":{"type":"numeric_atoms","value":1070,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1127,"base":16},"right_expr":{"type":"numeric_atoms","value":1573,"base":16}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1121,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1313,"base":16},"right_expr":{"type":"numeric_atoms","value":1280,"base":16}}}}},"used_operators":["B5M0gjZbta","e1ybzncUwg","uFcxV4UQCh","k8jYdgA6NY","LRNGc0VcxI","eLAdDNolq6","dWAJyo7jo9","8w2t5hMYqp","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3031","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=3031, right_input=1070, op_id = k8jYdgA6NY binary_op_definition= 'None', output=891","layer":3},{"info":"number node, value=1127","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=1127, right_input=1573, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=891, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"compute unary expreesion, input=1121, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3363","layer":3},{"info":"number node, value=1313","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=1280, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3363, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉(∃⊬BD7%∃⊬42E)⪛(∃⊬467∀⇚≩∃⊬625))↬(≤/(⊄⩳↩∃⊬461)⪢(∃⊬521∼∃⊬500))=NaN","reverse_text":"NaN=(≉(∃⊬BD7%∃⊬42E)⪛(∃⊬467∀⇚≩∃⊬625))↬(≤/(⊄⩳↩∃⊬461)⪢(∃⊬521∼∃⊬500))","cot":[{"info":"∃⊬BD7%∃⊬42E=∃⊬37B","layer":3},{"info":"∃⊬467∀⇚≩∃⊬625=NaN","layer":3},{"info":"∃⊬37B⪛NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⊄⩳↩∃⊬461=∃⊬-D23","layer":3},{"info":"∃⊬521∼∃⊬500=NaN","layer":3},{"info":"∃⊬-D23⪢NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":22,"expression_no_base_symbol":"(↯⪼(⫓⪴$1722$))+⇶⊼($2520$⋝⋈⪟$2529$⊭∹↮)≎⊠⪸((↣≠⋷($1282$∼$1069$))⪒($4673$⊭∹↮)⊉≛↸(⨈⫕$1335$))","expression":"(↯⪼(⫓⪴∃⊬6BA))+⇶⊼(∃⊬9D8⋝⋈⪟∃⊬9E1⊭∹↮)≎⊠⪸((↣≠⋷(∃⊬502∼∃⊬42D))⪒(∃⊬1241⊭∹↮)⊉≛↸(⨈⫕∃⊬537))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2201,"operation_count":12,"complexity_ratio":183.41666666666666,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1722,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2520,"base":16},"right_expr":{"type":"numeric_atoms","value":2529,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1282,"base":16},"right_expr":{"type":"numeric_atoms","value":1069,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4673,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1335,"base":16}}}}},"used_operators":["bJkvcejdHO","TpPTUOHfaN","8jW3W4yZS5","eLxqMNBOBk","xNBdhnnwKq","2DDjHMKMc0","f6k1SAg4EE","Asc51vEJeQ","DyGG3AbaNP","DZ8iAZOCBD","megm06wKyl"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1722","layer":4},{"info":"compute unary expreesion, input=1722, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2965284","layer":3},{"info":"compute unary expreesion, input=2965284, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=2520","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=2529, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2520","layer":3},{"info":"compute unary expreesion, input=2520, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5040","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=5040, 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=1282","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=1069, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4673","layer":4},{"info":"compute unary expreesion, input=4673, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9346","layer":3},{"info":"number node, value=1335","layer":4},{"info":"compute unary expreesion, input=1335, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=9346, right_input=-21, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18692","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18692, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(↯⪼(⫓⪴∃⊬6BA))+⇶⊼(∃⊬9D8⋝⋈⪟∃⊬9E1⊭∹↮)≎⊠⪸((↣≠⋷(∃⊬502∼∃⊬42D))⪒(∃⊬1241⊭∹↮)⊉≛↸(⨈⫕∃⊬537))=∃⊬43","reverse_text":"∃⊬43=(↯⪼(⫓⪴∃⊬6BA))+⇶⊼(∃⊬9D8⋝⋈⪟∃⊬9E1⊭∹↮)≎⊠⪸((↣≠⋷(∃⊬502∼∃⊬42D))⪒(∃⊬1241⊭∹↮)⊉≛↸(⨈⫕∃⊬537))","cot":[{"info":"⫓⪴∃⊬6BA=∃⊬2D3F24","layer":3},{"info":"↯⪼∃⊬2D3F24=∃⊬-15","layer":2},{"info":"∃⊬9D8⋝⋈⪟∃⊬9E1=∃⊬9D8","layer":3},{"info":"∃⊬9D8⊭∹↮=∃⊬13B0","layer":2},{"info":"∃⊬-15+⇶⊼∃⊬13B0=NaN","layer":1},{"info":"∃⊬502∼∃⊬42D=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"∃⊬1241⊭∹↮=∃⊬2482","layer":3},{"info":"⨈⫕∃⊬537=∃⊬-15","layer":3},{"info":"∃⊬2482⊉≛↸∃⊬-15=∃⊬4904","layer":2},{"info":"NaN⪒∃⊬4904=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":0}]}
{"id":23,"expression_no_base_symbol":"((($2025$⇼⇔∾$4265$)⊭∹↮)⊘)∀⇚≩(($1512$⋝⋈⪟$1006$⪒$1469$⪢$3254$)⪒($1013$⨵⪆$1766$)⪄$5341$⪄$7771$)","expression":"(((∃⊬7E9⇼⇔∾∃⊬10A9)⊭∹↮)⊘)∀⇚≩((∃⊬5E8⋝⋈⪟∃⊬3EE⪒∃⊬5BD⪢∃⊬CB6)⪒(∃⊬3F5⨵⪆∃⊬6E6)⪄∃⊬14DD⪄∃⊬1E5B)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3481,"operation_count":11,"complexity_ratio":316.45454545454544,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2025,"base":16},"right_expr":{"type":"numeric_atoms","value":4265,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1512,"base":16},"right_expr":{"type":"numeric_atoms","value":1006,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1469,"base":16},"right_expr":{"type":"numeric_atoms","value":3254,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1013,"base":16},"right_expr":{"type":"numeric_atoms","value":1766,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5341,"base":16},"right_expr":{"type":"numeric_atoms","value":7771,"base":16}}}}},"used_operators":["LRNGc0VcxI","gu96TGCTMs","xNBdhnnwKq","tifHPKVTfV","f6k1SAg4EE","2DDjHMKMc0","dWAJyo7jo9","SUmda5xLS4","2DQ55sFlQl"],"dependent_operators":["X99M06cbEe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","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=2025","layer":4},{"info":"number node, value=4265","layer":4},{"info":"compute binary expreesion, left_input=2025, right_input=4265, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2240","layer":3},{"info":"compute unary expreesion, input=2240, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4480","layer":2},{"info":"compute unary expreesion, input=4480, 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=1512","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=1006, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1512","layer":3},{"info":"number node, value=1469","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=3254, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1512, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1766","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1766, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=5341","layer":4},{"info":"number node, value=7771","layer":4},{"info":"compute binary expreesion, left_input=5341, right_input=7771, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-817641","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-817641, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3250795","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3250795, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', 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":"(((∃⊬7E9⇼⇔∾∃⊬10A9)⊭∹↮)⊘)∀⇚≩((∃⊬5E8⋝⋈⪟∃⊬3EE⪒∃⊬5BD⪢∃⊬CB6)⪒(∃⊬3F5⨵⪆∃⊬6E6)⪄∃⊬14DD⪄∃⊬1E5B)=NaN","reverse_text":"NaN=(((∃⊬7E9⇼⇔∾∃⊬10A9)⊭∹↮)⊘)∀⇚≩((∃⊬5E8⋝⋈⪟∃⊬3EE⪒∃⊬5BD⪢∃⊬CB6)⪒(∃⊬3F5⨵⪆∃⊬6E6)⪄∃⊬14DD⪄∃⊬1E5B)","cot":[{"info":"∃⊬7E9⇼⇔∾∃⊬10A9=∃⊬8C0","layer":3},{"info":"∃⊬8C0⊭∹↮=∃⊬1180","layer":2},{"info":"∃⊬1180⊘=∃⊬0","layer":1},{"info":"∃⊬5E8⋝⋈⪟∃⊬3EE=∃⊬5E8","layer":3},{"info":"∃⊬5BD⪢∃⊬CB6=NaN","layer":3},{"info":"∃⊬5E8⪒NaN=NaN","layer":2},{"info":"∃⊬3F5⨵⪆∃⊬6E6=∃⊬A0","layer":3},{"info":"∃⊬14DD⪄∃⊬1E5B=∃⊬-C79E9","layer":3},{"info":"∃⊬A0⪄∃⊬-C79E9=∃⊬319A6B","layer":2},{"info":"NaN⪒∃⊬319A6B=NaN","layer":1},{"info":"∃⊬0∀⇚≩NaN=NaN","layer":0}]}
{"id":24,"expression_no_base_symbol":"(($4721$⫸⊐$6393$)⨳⩥⨓($1603$⇋≉)⊭↱(⇁⨣⪵(↯⪼$1611$)))+⇶⊼(($1120$⊪)≎⊠⪸($3761$-$4671$)*($2001$⊉≛↸$7572$)≧⫂∧(≉$1519$))","expression":"((∃⊬1271⫸⊐∃⊬18F9)⨳⩥⨓(∃⊬643⇋≉)⊭↱(⇁⨣⪵(↯⪼∃⊬64B)))+⇶⊼((∃⊬460⊪)≎⊠⪸(∃⊬EB1-∃⊬123F)*(∃⊬7D1⊉≛↸∃⊬1D94)≧⫂∧(≉∃⊬5EF))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":309,"operation_count":14,"complexity_ratio":22.071428571428573,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4721,"base":16},"right_expr":{"type":"numeric_atoms","value":6393,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1603,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1611,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1120,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3761,"base":16},"right_expr":{"type":"numeric_atoms","value":4671,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2001,"base":16},"right_expr":{"type":"numeric_atoms","value":7572,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1519,"base":16}}}}},"used_operators":["TpPTUOHfaN","COABgblf1C","nCS4ZIUYfx","mqXw5SEYmG","XIabStNQrY","inkyxCbjAn","8jW3W4yZS5","9HNa5Wba9A","bJkvcejdHO","zVYPLywUTj","rysDP5nf3Z","Ph9nP6C5qx","DZ8iAZOCBD","e1ybzncUwg"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4721","layer":4},{"info":"number node, value=6393","layer":4},{"info":"compute binary expreesion, left_input=4721, right_input=6393, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=25447","layer":3},{"info":"number node, value=1603","layer":4},{"info":"compute unary expreesion, input=1603, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3108","layer":3},{"info":"compute binary expreesion, left_input=25447, right_input=3108, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-22339","layer":2},{"info":"number node, value=1611","layer":4},{"info":"compute unary expreesion, input=1611, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-22339, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=44683","layer":1},{"info":"number node, value=1120","layer":4},{"info":"compute unary expreesion, input=1120, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=3761","layer":4},{"info":"number node, value=4671","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=4671, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-910","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-910, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=2001","layer":4},{"info":"number node, value=7572","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=7572, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4002","layer":3},{"info":"number node, value=1519","layer":4},{"info":"compute unary expreesion, input=1519, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2050","layer":3},{"info":"compute binary expreesion, left_input=4002, right_input=2050, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1577","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1577, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=105659","layer":1},{"info":"compute binary expreesion, left_input=44683, right_input=105659, 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":"((∃⊬1271⫸⊐∃⊬18F9)⨳⩥⨓(∃⊬643⇋≉)⊭↱(⇁⨣⪵(↯⪼∃⊬64B)))+⇶⊼((∃⊬460⊪)≎⊠⪸(∃⊬EB1-∃⊬123F)*(∃⊬7D1⊉≛↸∃⊬1D94)≧⫂∧(≉∃⊬5EF))=NaN","reverse_text":"NaN=((∃⊬1271⫸⊐∃⊬18F9)⨳⩥⨓(∃⊬643⇋≉)⊭↱(⇁⨣⪵(↯⪼∃⊬64B)))+⇶⊼((∃⊬460⊪)≎⊠⪸(∃⊬EB1-∃⊬123F)*(∃⊬7D1⊉≛↸∃⊬1D94)≧⫂∧(≉∃⊬5EF))","cot":[{"info":"∃⊬1271⫸⊐∃⊬18F9=∃⊬6367","layer":3},{"info":"∃⊬643⇋≉=∃⊬C24","layer":3},{"info":"∃⊬6367⨳⩥⨓∃⊬C24=∃⊬-5743","layer":2},{"info":"↯⪼∃⊬64B=∃⊬-15","layer":3},{"info":"⇁⨣⪵∃⊬-15=∃⊬0","layer":2},{"info":"∃⊬-5743⊭↱∃⊬0=∃⊬AE8B","layer":1},{"info":"∃⊬460⊪=∃⊬0","layer":3},{"info":"∃⊬EB1-∃⊬123F=∃⊬-38E","layer":3},{"info":"∃⊬0≎⊠⪸∃⊬-38E=∃⊬43","layer":2},{"info":"∃⊬7D1⊉≛↸∃⊬1D94=∃⊬FA2","layer":3},{"info":"≉∃⊬5EF=∃⊬802","layer":3},{"info":"∃⊬FA2≧⫂∧∃⊬802=∃⊬629","layer":2},{"info":"∃⊬43*∃⊬629=∃⊬19CBB","layer":1},{"info":"∃⊬AE8B+⇶⊼∃⊬19CBB=NaN","layer":0}]}
{"id":25,"expression_no_base_symbol":"($1707$⨰$5085$*$1089$⋳⪒$2204$⨸⪁$3008$∀⇚≩$2081$⋝⋈⪟($2690$⫡⨏$2071$))⪘⫢(($3703$∸)⋓(⊥$1201$)≫≃)","expression":"(∃⊬6AB⨰∃⊬13DD*∃⊬441⋳⪒∃⊬89C⨸⪁∃⊬BC0∀⇚≩∃⊬821⋝⋈⪟(∃⊬A82⫡⨏∃⊬817))⪘⫢((∃⊬E77∸)⋓(⊥∃⊬4B1)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21602,"operation_count":12,"complexity_ratio":1800.1666666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1707,"base":16},"right_expr":{"type":"numeric_atoms","value":5085,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1089,"base":16},"right_expr":{"type":"numeric_atoms","value":2204,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3008,"base":16},"right_expr":{"type":"numeric_atoms","value":2081,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2690,"base":16},"right_expr":{"type":"numeric_atoms","value":2071,"base":16}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3703,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1201,"base":16}}}}},"used_operators":["oacrs7FA3X","g55IO6H4Gj","9HNa5Wba9A","eewbuw0ToL","12rbrZMWeM","2DDjHMKMc0","LRNGc0VcxI","QMFrweE19q","X99M06cbEe","T2fj7uvVaJ","o20kRiQErp","Q3PJZHRvZv"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":4},{"info":"number node, value=5085","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=5085, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3368","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2204, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-313","layer":3},{"info":"compute binary expreesion, left_input=-3368, right_input=-313, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1054184","layer":2},{"info":"number node, value=3008","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=3008, right_input=2081, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2690","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=2071, 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=18375","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18375, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1054184, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3703","layer":4},{"info":"compute unary expreesion, input=3703, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1201","layer":4},{"info":"compute unary expreesion, input=1201, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6AB⨰∃⊬13DD*∃⊬441⋳⪒∃⊬89C⨸⪁∃⊬BC0∀⇚≩∃⊬821⋝⋈⪟(∃⊬A82⫡⨏∃⊬817))⪘⫢((∃⊬E77∸)⋓(⊥∃⊬4B1)≫≃)=NaN","reverse_text":"NaN=(∃⊬6AB⨰∃⊬13DD*∃⊬441⋳⪒∃⊬89C⨸⪁∃⊬BC0∀⇚≩∃⊬821⋝⋈⪟(∃⊬A82⫡⨏∃⊬817))⪘⫢((∃⊬E77∸)⋓(⊥∃⊬4B1)≫≃)","cot":[{"info":"∃⊬6AB⨰∃⊬13DD=∃⊬-D28","layer":3},{"info":"∃⊬441⋳⪒∃⊬89C=∃⊬-139","layer":3},{"info":"∃⊬-D28*∃⊬-139=∃⊬1015E8","layer":2},{"info":"∃⊬BC0∀⇚≩∃⊬821=NaN","layer":3},{"info":"∃⊬A82⫡⨏∃⊬817=∃⊬47C7","layer":3},{"info":"NaN⋝⋈⪟∃⊬47C7=NaN","layer":2},{"info":"∃⊬1015E8⨸⪁NaN=NaN","layer":1},{"info":"∃⊬E77∸=∃⊬B1","layer":3},{"info":"⊥∃⊬4B1=NaN","layer":3},{"info":"∃⊬B1⋓NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":26,"expression_no_base_symbol":"↽≂($1772$+⇶⊼$1043$)∑⇟⊟($9424$⋥≓≎$1417$)⩚⊴⇥(⊄⩳↩($5793$+⇶⊼$8304$))","expression":"↽≂(∃⊬6EC+⇶⊼∃⊬413)∑⇟⊟(∃⊬24D0⋥≓≎∃⊬589)⩚⊴⇥(⊄⩳↩(∃⊬16A1+⇶⊼∃⊬2070))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":7,"complexity_ratio":2.2857142857142856,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1772,"base":16},"right_expr":{"type":"numeric_atoms","value":1043,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":9424,"base":16},"right_expr":{"type":"numeric_atoms","value":1417,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5793,"base":16},"right_expr":{"type":"numeric_atoms","value":8304,"base":16}}}}},"used_operators":["u6S6b8DprG","NTOWxs364D","U7g4x0WXJJ","TpPTUOHfaN","Qy55tPpLXF","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1772","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1043, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=9424","layer":4},{"info":"number node, value=1417","layer":4},{"info":"compute binary expreesion, left_input=9424, right_input=1417, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6557","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6557, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5793","layer":4},{"info":"number node, value=8304","layer":4},{"info":"compute binary expreesion, left_input=5793, right_input=8304, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"↽≂(∃⊬6EC+⇶⊼∃⊬413)∑⇟⊟(∃⊬24D0⋥≓≎∃⊬589)⩚⊴⇥(⊄⩳↩(∃⊬16A1+⇶⊼∃⊬2070))=NaN","reverse_text":"NaN=↽≂(∃⊬6EC+⇶⊼∃⊬413)∑⇟⊟(∃⊬24D0⋥≓≎∃⊬589)⩚⊴⇥(⊄⩳↩(∃⊬16A1+⇶⊼∃⊬2070))","cot":[{"info":"∃⊬6EC+⇶⊼∃⊬413=NaN","layer":3},{"info":"∃⊬24D0⋥≓≎∃⊬589=∃⊬-199D","layer":3},{"info":"NaN∑⇟⊟∃⊬-199D=NaN","layer":2},{"info":"∃⊬16A1+⇶⊼∃⊬2070=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":27,"expression_no_base_symbol":"($3326$⪮%⊝$8912$⫸⊐($2256$≦≮≮))⨓(($1019$⪒$2812$)⫸⊐$1008$⊴$4456$)⨰(∥⊫($2710$⨐⩸⫘$1165$)⪢(-$2912$))","expression":"(∃⊬CFE⪮%⊝∃⊬22D0⫸⊐(∃⊬8D0≦≮≮))⨓((∃⊬3FB⪒∃⊬AFC)⫸⊐∃⊬3F0⊴∃⊬1168)⨰(∥⊫(∃⊬A96⨐⩸⫘∃⊬48D)⪢(-∃⊬B60))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8400,"operation_count":12,"complexity_ratio":700.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3326,"base":16},"right_expr":{"type":"numeric_atoms","value":8912,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2256,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1019,"base":16},"right_expr":{"type":"numeric_atoms","value":2812,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1008,"base":16},"right_expr":{"type":"numeric_atoms","value":4456,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2710,"base":16},"right_expr":{"type":"numeric_atoms","value":1165,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2912,"base":16}}}}},"used_operators":["eewbuw0ToL","3ViojmjbAp","mqXw5SEYmG","IWmyXbctLI","D4vGDi5EA2","f6k1SAg4EE","Nsiff2A1zJ","P8v4zCKN1o","dWAJyo7jo9","fu6greOZ01","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3326","layer":4},{"info":"number node, value=8912","layer":4},{"info":"compute binary expreesion, left_input=3326, right_input=8912, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6968","layer":3},{"info":"number node, value=2256","layer":4},{"info":"compute unary expreesion, input=2256, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6768","layer":3},{"info":"compute binary expreesion, left_input=6968, right_input=-6768, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-13665","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=2812, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3831","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=4456","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=4456, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3831, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=-13665, right_input=968, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-971","layer":1},{"info":"number node, value=2710","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=2710, right_input=1165, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2912","layer":4},{"info":"compute unary expreesion, input=2912, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2912","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2912, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-971, 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":"(∃⊬CFE⪮%⊝∃⊬22D0⫸⊐(∃⊬8D0≦≮≮))⨓((∃⊬3FB⪒∃⊬AFC)⫸⊐∃⊬3F0⊴∃⊬1168)⨰(∥⊫(∃⊬A96⨐⩸⫘∃⊬48D)⪢(-∃⊬B60))=NaN","reverse_text":"NaN=(∃⊬CFE⪮%⊝∃⊬22D0⫸⊐(∃⊬8D0≦≮≮))⨓((∃⊬3FB⪒∃⊬AFC)⫸⊐∃⊬3F0⊴∃⊬1168)⨰(∥⊫(∃⊬A96⨐⩸⫘∃⊬48D)⪢(-∃⊬B60))","cot":[{"info":"∃⊬CFE⪮%⊝∃⊬22D0=∃⊬1B38","layer":3},{"info":"∃⊬8D0≦≮≮=∃⊬-1A70","layer":3},{"info":"∃⊬1B38⫸⊐∃⊬-1A70=∃⊬-3561","layer":2},{"info":"∃⊬3FB⪒∃⊬AFC=∃⊬-EF7","layer":3},{"info":"∃⊬3F0⊴∃⊬1168=NaN","layer":3},{"info":"∃⊬-EF7⫸⊐NaN=∃⊬3C8","layer":2},{"info":"∃⊬-3561⨓∃⊬3C8=∃⊬-3CB","layer":1},{"info":"∃⊬A96⨐⩸⫘∃⊬48D=NaN","layer":3},{"info":"-∃⊬B60=∃⊬-B60","layer":3},{"info":"NaN⪢∃⊬-B60=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"∃⊬-3CB⨰NaN=NaN","layer":0}]}
{"id":28,"expression_no_base_symbol":"(($1637$⨎$1599$⨽($1300$∸))≦≮≮)⪄($1303$≭$2536$⇼⇔∾($5285$⪐))⋳⪒($6858$-$8588$)⋓(∥⊫$1426$)","expression":"((∃⊬665⨎∃⊬63F⨽(∃⊬514∸))≦≮≮)⪄(∃⊬517≭∃⊬9E8⇼⇔∾(∃⊬14A5⪐))⋳⪒(∃⊬1ACA-∃⊬218C)⋓(∥⊫∃⊬592)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1913,"operation_count":12,"complexity_ratio":159.41666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1637,"base":16},"right_expr":{"type":"numeric_atoms","value":1599,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1300,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1303,"base":16},"right_expr":{"type":"numeric_atoms","value":2536,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":5285,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6858,"base":16},"right_expr":{"type":"numeric_atoms","value":8588,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1426,"base":16}}}}},"used_operators":["SUmda5xLS4","D4vGDi5EA2","8HhzD0ZcuI","rJVOvQCfKK","o20kRiQErp","12rbrZMWeM","tifHPKVTfV","rxpJgHHUmx","eH2TOUuTDT","T2fj7uvVaJ","rysDP5nf3Z","P8v4zCKN1o"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1637","layer":4},{"info":"number node, value=1599","layer":4},{"info":"compute binary expreesion, left_input=1637, right_input=1599, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1599","layer":3},{"info":"number node, value=1300","layer":4},{"info":"compute unary expreesion, input=1300, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1599, right_input=177, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7669620","layer":2},{"info":"compute unary expreesion, input=-7669620, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=23008860","layer":1},{"info":"number node, value=1303","layer":4},{"info":"number node, value=2536","layer":4},{"info":"compute binary expreesion, left_input=1303, right_input=2536, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5285","layer":4},{"info":"compute unary expreesion, input=5285, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=10570","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10570, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=6858","layer":4},{"info":"number node, value=8588","layer":4},{"info":"compute binary expreesion, left_input=6858, right_input=8588, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1730","layer":3},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2294","layer":3},{"info":"compute binary expreesion, left_input=-1730, right_input=2294, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=23008860, 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":"((∃⊬665⨎∃⊬63F⨽(∃⊬514∸))≦≮≮)⪄(∃⊬517≭∃⊬9E8⇼⇔∾(∃⊬14A5⪐))⋳⪒(∃⊬1ACA-∃⊬218C)⋓(∥⊫∃⊬592)=NaN","reverse_text":"NaN=((∃⊬665⨎∃⊬63F⨽(∃⊬514∸))≦≮≮)⪄(∃⊬517≭∃⊬9E8⇼⇔∾(∃⊬14A5⪐))⋳⪒(∃⊬1ACA-∃⊬218C)⋓(∥⊫∃⊬592)","cot":[{"info":"∃⊬665⨎∃⊬63F=∃⊬63F","layer":3},{"info":"∃⊬514∸=∃⊬B1","layer":3},{"info":"∃⊬63F⨽∃⊬B1=∃⊬-750774","layer":2},{"info":"∃⊬-750774≦≮≮=∃⊬15F165C","layer":1},{"info":"∃⊬517≭∃⊬9E8=NaN","layer":3},{"info":"∃⊬14A5⪐=∃⊬294A","layer":3},{"info":"NaN⇼⇔∾∃⊬294A=NaN","layer":2},{"info":"∃⊬1ACA-∃⊬218C=∃⊬-6C2","layer":3},{"info":"∥⊫∃⊬592=∃⊬8F6","layer":3},{"info":"∃⊬-6C2⋓∃⊬8F6=∃⊬0","layer":2},{"info":"NaN⋳⪒∃⊬0=NaN","layer":1},{"info":"∃⊬15F165C⪄NaN=NaN","layer":0}]}
{"id":29,"expression_no_base_symbol":"(($3647$⨰$4526$≫≃)/(($2635$≧⫂∧$3031$)≦≮≮))⨰(($2612$⫸⊐$1457$)⪘⫢$1217$⪛$4356$)⪘⫢(($2801$⊭↱$1877$)⨓($1722$⊭↱$4049$))","expression":"((∃⊬E3F⨰∃⊬11AE≫≃)/((∃⊬A4B≧⫂∧∃⊬BD7)≦≮≮))⨰((∃⊬A34⫸⊐∃⊬5B1)⪘⫢∃⊬4C1⪛∃⊬1104)⪘⫢((∃⊬AF1⊭↱∃⊬755)⨓(∃⊬6BA⊭↱∃⊬FD1))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4753,"operation_count":13,"complexity_ratio":365.61538461538464,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3647,"base":16},"right_expr":{"type":"numeric_atoms","value":4526,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2635,"base":16},"right_expr":{"type":"numeric_atoms","value":3031,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2612,"base":16},"right_expr":{"type":"numeric_atoms","value":1457,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1217,"base":16},"right_expr":{"type":"numeric_atoms","value":4356,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2801,"base":16},"right_expr":{"type":"numeric_atoms","value":1877,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1722,"base":16},"right_expr":{"type":"numeric_atoms","value":4049,"base":16}}}}},"used_operators":["eewbuw0ToL","XhwjNDsVaA","X99M06cbEe","D4vGDi5EA2","Ph9nP6C5qx","oacrs7FA3X","mqXw5SEYmG","uFcxV4UQCh","3ViojmjbAp","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3647","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=3647, right_input=4526, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-869","layer":3},{"info":"compute unary expreesion, input=-869, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-337","layer":2},{"info":"number node, value=2635","layer":4},{"info":"number node, value=3031","layer":4},{"info":"compute binary expreesion, left_input=2635, right_input=3031, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2558","layer":3},{"info":"compute unary expreesion, input=2558, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-7674","layer":2},{"info":"compute binary expreesion, left_input=-337, right_input=-7674, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=2612","layer":4},{"info":"number node, value=1457","layer":4},{"info":"compute binary expreesion, left_input=2612, right_input=1457, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5703","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=4356, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1217","layer":3},{"info":"compute binary expreesion, left_input=5703, right_input=1217, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11282","layer":2},{"info":"number node, value=2801","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=1877, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1843","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=4049, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4659","layer":3},{"info":"compute binary expreesion, left_input=-1843, right_input=4659, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4662","layer":2},{"info":"compute binary expreesion, left_input=11282, right_input=-4662, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=10","layer":0}],"base":16,"result_base":16,"text":"((∃⊬E3F⨰∃⊬11AE≫≃)/((∃⊬A4B≧⫂∧∃⊬BD7)≦≮≮))⨰((∃⊬A34⫸⊐∃⊬5B1)⪘⫢∃⊬4C1⪛∃⊬1104)⪘⫢((∃⊬AF1⊭↱∃⊬755)⨓(∃⊬6BA⊭↱∃⊬FD1))=∃⊬A","reverse_text":"∃⊬A=((∃⊬E3F⨰∃⊬11AE≫≃)/((∃⊬A4B≧⫂∧∃⊬BD7)≦≮≮))⨰((∃⊬A34⫸⊐∃⊬5B1)⪘⫢∃⊬4C1⪛∃⊬1104)⪘⫢((∃⊬AF1⊭↱∃⊬755)⨓(∃⊬6BA⊭↱∃⊬FD1))","cot":[{"info":"∃⊬E3F⨰∃⊬11AE=∃⊬-365","layer":3},{"info":"∃⊬-365≫≃=∃⊬-151","layer":2},{"info":"∃⊬A4B≧⫂∧∃⊬BD7=∃⊬9FE","layer":3},{"info":"∃⊬9FE≦≮≮=∃⊬-1DFA","layer":2},{"info":"∃⊬-151/∃⊬-1DFA=∃⊬0","layer":1},{"info":"∃⊬A34⫸⊐∃⊬5B1=∃⊬1647","layer":3},{"info":"∃⊬4C1⪛∃⊬1104=∃⊬4C1","layer":3},{"info":"∃⊬1647⪘⫢∃⊬4C1=∃⊬2C12","layer":2},{"info":"∃⊬AF1⊭↱∃⊬755=∃⊬-733","layer":3},{"info":"∃⊬6BA⊭↱∃⊬FD1=∃⊬1233","layer":3},{"info":"∃⊬-733⨓∃⊬1233=∃⊬-1236","layer":2},{"info":"∃⊬2C12⪘⫢∃⊬-1236=∃⊬0","layer":1},{"info":"∃⊬0⨰∃⊬0=∃⊬A","layer":0}]}
{"id":30,"expression_no_base_symbol":"⨵≀≌((+⊝⨔$1117$)⊴($1835$⨪↰⇹$1051$)≦≮≮)","expression":"⨵≀≌((+⊝⨔∃⊬45D)⊴(∃⊬72B⨪↰⇹∃⊬41B)≦≮≮)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3722,"operation_count":5,"complexity_ratio":744.4,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1117,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1835,"base":16},"right_expr":{"type":"numeric_atoms","value":1051,"base":16}}}}},"used_operators":["srAu1WTS94","D4vGDi5EA2","Nsiff2A1zJ","DhbWaqg5eL","tmPS8pqC7x"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"compute unary expreesion, input=1117, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1835","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=1051, 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=1835","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1835, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"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":"⨵≀≌((+⊝⨔∃⊬45D)⊴(∃⊬72B⨪↰⇹∃⊬41B)≦≮≮)=NaN","reverse_text":"NaN=⨵≀≌((+⊝⨔∃⊬45D)⊴(∃⊬72B⨪↰⇹∃⊬41B)≦≮≮)","cot":[{"info":"+⊝⨔∃⊬45D=∃⊬5F2","layer":3},{"info":"∃⊬72B⨪↰⇹∃⊬41B=∃⊬72B","layer":3},{"info":"∃⊬5F2⊴∃⊬72B=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":31,"expression_no_base_symbol":"((($1727$+$2426$)-($5197$⨁⊸⫻))⨰((⇁⨣⪵$5453$)⇋≉))⊪","expression":"(((∃⊬6BF+∃⊬97A)-(∃⊬144D⨁⊸⫻))⨰((⇁⨣⪵∃⊬154D)⇋≉))⊪","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26,"operation_count":7,"complexity_ratio":3.7142857142857144,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1727,"base":16},"right_expr":{"type":"numeric_atoms","value":2426,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5197,"base":16}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":5453,"base":16}}}}},"used_operators":["zVYPLywUTj","eewbuw0ToL","rysDP5nf3Z","W4YGzv6Whe","glklzrTFfD","XIabStNQrY","inkyxCbjAn"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1727","layer":4},{"info":"number node, value=2426","layer":4},{"info":"compute binary expreesion, left_input=1727, right_input=2426, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4153","layer":3},{"info":"number node, value=5197","layer":4},{"info":"compute unary expreesion, input=5197, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5197","layer":3},{"info":"compute binary expreesion, left_input=4153, right_input=5197, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1044","layer":2},{"info":"number node, value=5453","layer":4},{"info":"compute unary expreesion, input=5453, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1044, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬6BF+∃⊬97A)-(∃⊬144D⨁⊸⫻))⨰((⇁⨣⪵∃⊬154D)⇋≉))⊪=NaN","reverse_text":"NaN=(((∃⊬6BF+∃⊬97A)-(∃⊬144D⨁⊸⫻))⨰((⇁⨣⪵∃⊬154D)⇋≉))⊪","cot":[{"info":"∃⊬6BF+∃⊬97A=∃⊬1039","layer":3},{"info":"∃⊬144D⨁⊸⫻=∃⊬144D","layer":3},{"info":"∃⊬1039-∃⊬144D=∃⊬-414","layer":2},{"info":"⇁⨣⪵∃⊬154D=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"∃⊬-414⨰NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":32,"expression_no_base_symbol":"($5429$⨽$1802$⊭↱(∂$5348$))⨎($1071$⩚⊴⇥$4464$-$3071$⨪↰⇹$3798$)+(($5109$⩠)⋓(⨞⊢$3166$))⊴(≤/($1517$⊦⊿))","expression":"(∃⊬1535⨽∃⊬70A⊭↱(∂∃⊬14E4))⨎(∃⊬42F⩚⊴⇥∃⊬1170-∃⊬BFF⨪↰⇹∃⊬ED6)+((∃⊬13F5⩠)⋓(⨞⊢∃⊬C5E))⊴(≤/(∃⊬5ED⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13682,"operation_count":14,"complexity_ratio":977.2857142857143,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5429,"base":16},"right_expr":{"type":"numeric_atoms","value":1802,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5348,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1071,"base":16},"right_expr":{"type":"numeric_atoms","value":4464,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3071,"base":16},"right_expr":{"type":"numeric_atoms","value":3798,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5109,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3166,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1517,"base":16}}}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","COABgblf1C","8HhzD0ZcuI","Uaa54Peajs","rysDP5nf3Z","NTOWxs364D","tmPS8pqC7x","Nsiff2A1zJ","T2fj7uvVaJ","sJAwomhLZr","xUOZtlo3hN","eLAdDNolq6","14qkJME0vr"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5429","layer":4},{"info":"number node, value=1802","layer":4},{"info":"compute binary expreesion, left_input=5429, right_input=1802, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-88426215","layer":3},{"info":"number node, value=5348","layer":4},{"info":"compute unary expreesion, input=5348, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-88426215, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1071","layer":4},{"info":"number node, value=4464","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=4464, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5656","layer":3},{"info":"number node, value=3071","layer":4},{"info":"number node, value=3798","layer":4},{"info":"compute binary expreesion, left_input=3071, right_input=3798, 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=3071","layer":3},{"info":"compute binary expreesion, left_input=-5656, right_input=3071, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-8727","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8727, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-8727","layer":1},{"info":"number node, value=5109","layer":4},{"info":"compute unary expreesion, input=5109, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3166","layer":4},{"info":"compute unary expreesion, input=3166, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3340","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3340, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1517","layer":4},{"info":"compute unary expreesion, input=1517, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4630","layer":3},{"info":"compute unary expreesion, input=-4630, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=5114","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5114, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8727, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1535⨽∃⊬70A⊭↱(∂∃⊬14E4))⨎(∃⊬42F⩚⊴⇥∃⊬1170-∃⊬BFF⨪↰⇹∃⊬ED6)+((∃⊬13F5⩠)⋓(⨞⊢∃⊬C5E))⊴(≤/(∃⊬5ED⊦⊿))=NaN","reverse_text":"NaN=(∃⊬1535⨽∃⊬70A⊭↱(∂∃⊬14E4))⨎(∃⊬42F⩚⊴⇥∃⊬1170-∃⊬BFF⨪↰⇹∃⊬ED6)+((∃⊬13F5⩠)⋓(⨞⊢∃⊬C5E))⊴(≤/(∃⊬5ED⊦⊿))","cot":[{"info":"∃⊬1535⨽∃⊬70A=∃⊬-54546E7","layer":3},{"info":"∂∃⊬14E4=NaN","layer":3},{"info":"∃⊬-54546E7⊭↱NaN=NaN","layer":2},{"info":"∃⊬42F⩚⊴⇥∃⊬1170=∃⊬-1618","layer":3},{"info":"∃⊬BFF⨪↰⇹∃⊬ED6=∃⊬BFF","layer":3},{"info":"∃⊬-1618-∃⊬BFF=∃⊬-2217","layer":2},{"info":"NaN⨎∃⊬-2217=∃⊬-2217","layer":1},{"info":"∃⊬13F5⩠=∃⊬0","layer":3},{"info":"⨞⊢∃⊬C5E=∃⊬-D0C","layer":3},{"info":"∃⊬0⋓∃⊬-D0C=∃⊬0","layer":2},{"info":"∃⊬5ED⊦⊿=∃⊬-1216","layer":3},{"info":"≤/∃⊬-1216=∃⊬13FA","layer":2},{"info":"∃⊬0⊴∃⊬13FA=NaN","layer":1},{"info":"∃⊬-2217+NaN=NaN","layer":0}]}
{"id":33,"expression_no_base_symbol":"(((⪲⇎$5253$)-$1892$⨓$2738$)≦≮≮)⪠⩆⊳","expression":"(((⪲⇎∃⊬1485)-∃⊬764⨓∃⊬AB2)≦≮≮)⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2756,"operation_count":5,"complexity_ratio":551.2,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5253,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1892,"base":16},"right_expr":{"type":"numeric_atoms","value":2738,"base":16}}}}},"used_operators":["JLbD19bQDL","D4vGDi5EA2","rysDP5nf3Z","XPYlsWDdGa","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5253","layer":4},{"info":"compute unary expreesion, input=5253, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10506","layer":3},{"info":"number node, value=1892","layer":4},{"info":"number node, value=2738","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=2738, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2741","layer":3},{"info":"compute binary expreesion, left_input=10506, right_input=-2741, op_id = rysDP5nf3Z binary_op_definition= 'None', output=13247","layer":2},{"info":"compute unary expreesion, input=13247, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-39741","layer":1},{"info":"compute unary expreesion, input=-39741, 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":"(((⪲⇎∃⊬1485)-∃⊬764⨓∃⊬AB2)≦≮≮)⪠⩆⊳=∃⊬0","reverse_text":"∃⊬0=(((⪲⇎∃⊬1485)-∃⊬764⨓∃⊬AB2)≦≮≮)⪠⩆⊳","cot":[{"info":"⪲⇎∃⊬1485=∃⊬290A","layer":3},{"info":"∃⊬764⨓∃⊬AB2=∃⊬-AB5","layer":3},{"info":"∃⊬290A-∃⊬-AB5=∃⊬33BF","layer":2},{"info":"∃⊬33BF≦≮≮=∃⊬-9B3D","layer":1},{"info":"∃⊬-9B3D⪠⩆⊳=∃⊬0","layer":0}]}
{"id":34,"expression_no_base_symbol":"((≉$1265$)≭$3305$⩷∴$8859$)≧⫂∧(($1653$⪨≂$3919$)≭$2463$⋝⋈⪟$1182$)≎⊠⪸((($3529$⋫)⪐)↺(($1447$⪒$1027$)⪠⩆⊳))","expression":"((≉∃⊬4F1)≭∃⊬CE9⩷∴∃⊬229B)≧⫂∧((∃⊬675⪨≂∃⊬F4F)≭∃⊬99F⋝⋈⪟∃⊬49E)≎⊠⪸(((∃⊬DC9⋫)⪐)↺((∃⊬5A7⪒∃⊬403)⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3573,"operation_count":13,"complexity_ratio":274.84615384615387,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1265,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3305,"base":16},"right_expr":{"type":"numeric_atoms","value":8859,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1653,"base":16},"right_expr":{"type":"numeric_atoms","value":3919,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2463,"base":16},"right_expr":{"type":"numeric_atoms","value":1182,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3529,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1447,"base":16},"right_expr":{"type":"numeric_atoms","value":1027,"base":16}}}}},"used_operators":["bJkvcejdHO","Ph9nP6C5qx","rxpJgHHUmx","e1ybzncUwg","9FxExcQeMw","sdazOOVcIp","2DDjHMKMc0","7j4O788W3g","eH2TOUuTDT","JL8yIekQnl","JLbD19bQDL","f6k1SAg4EE"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1796","layer":3},{"info":"number node, value=3305","layer":4},{"info":"number node, value=8859","layer":4},{"info":"compute binary expreesion, left_input=3305, right_input=8859, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11140","layer":3},{"info":"compute binary expreesion, left_input=1796, right_input=-11140, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1653","layer":4},{"info":"number node, value=3919","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=3919, 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=-4430","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=1182, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2463","layer":3},{"info":"compute binary expreesion, left_input=-4430, right_input=2463, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3529","layer":4},{"info":"compute unary expreesion, input=3529, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3529","layer":3},{"info":"compute unary expreesion, input=3529, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=7058","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=1027, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2474","layer":3},{"info":"compute unary expreesion, input=-2474, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=7058, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((≉∃⊬4F1)≭∃⊬CE9⩷∴∃⊬229B)≧⫂∧((∃⊬675⪨≂∃⊬F4F)≭∃⊬99F⋝⋈⪟∃⊬49E)≎⊠⪸(((∃⊬DC9⋫)⪐)↺((∃⊬5A7⪒∃⊬403)⪠⩆⊳))=NaN","reverse_text":"NaN=((≉∃⊬4F1)≭∃⊬CE9⩷∴∃⊬229B)≧⫂∧((∃⊬675⪨≂∃⊬F4F)≭∃⊬99F⋝⋈⪟∃⊬49E)≎⊠⪸(((∃⊬DC9⋫)⪐)↺((∃⊬5A7⪒∃⊬403)⪠⩆⊳))","cot":[{"info":"≉∃⊬4F1=∃⊬704","layer":3},{"info":"∃⊬CE9⩷∴∃⊬229B=∃⊬-2B84","layer":3},{"info":"∃⊬704≭∃⊬-2B84=NaN","layer":2},{"info":"∃⊬675⪨≂∃⊬F4F=∃⊬-114E","layer":3},{"info":"∃⊬99F⋝⋈⪟∃⊬49E=∃⊬99F","layer":3},{"info":"∃⊬-114E≭∃⊬99F=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬DC9⋫=∃⊬DC9","layer":3},{"info":"∃⊬DC9⪐=∃⊬1B92","layer":2},{"info":"∃⊬5A7⪒∃⊬403=∃⊬-9AA","layer":3},{"info":"∃⊬-9AA⪠⩆⊳=∃⊬0","layer":2},{"info":"∃⊬1B92↺∃⊬0=∃⊬0","layer":1},{"info":"NaN≎⊠⪸∃⊬0=NaN","layer":0}]}
{"id":35,"expression_no_base_symbol":"⨵≀≌(⊙↵-($5289$⊉≛↸$2816$))⋳⪒($2641$≧⫂∧$2517$⩨$2013$⨪↰⇹$3428$)","expression":"⨵≀≌(⊙↵-(∃⊬14A9⊉≛↸∃⊬B00))⋳⪒(∃⊬A51≧⫂∧∃⊬9D5⩨∃⊬7DD⨪↰⇹∃⊬D64)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12945,"operation_count":7,"complexity_ratio":1849.2857142857142,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5289,"base":16},"right_expr":{"type":"numeric_atoms","value":2816,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2641,"base":16},"right_expr":{"type":"numeric_atoms","value":2517,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2013,"base":16},"right_expr":{"type":"numeric_atoms","value":3428,"base":16}}}}},"used_operators":["srAu1WTS94","12rbrZMWeM","oWn0xqSxBt","DZ8iAZOCBD","2DlMacCsIx","Ph9nP6C5qx","tmPS8pqC7x"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"∃⊬14641","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5289","layer":4},{"info":"number node, value=2816","layer":4},{"info":"compute binary expreesion, left_input=5289, right_input=2816, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10578","layer":3},{"info":"compute unary expreesion, input=10578, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2641","layer":4},{"info":"number node, value=2517","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=2517, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2044","layer":3},{"info":"number node, value=2013","layer":4},{"info":"number node, value=3428","layer":4},{"info":"compute binary expreesion, left_input=2013, right_input=3428, 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=2013","layer":3},{"info":"compute binary expreesion, left_input=2044, right_input=2013, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-289","layer":1},{"info":"compute unary expreesion, input=-289, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=83521","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(⊙↵-(∃⊬14A9⊉≛↸∃⊬B00))⋳⪒(∃⊬A51≧⫂∧∃⊬9D5⩨∃⊬7DD⨪↰⇹∃⊬D64)=∃⊬14641","reverse_text":"∃⊬14641=⨵≀≌(⊙↵-(∃⊬14A9⊉≛↸∃⊬B00))⋳⪒(∃⊬A51≧⫂∧∃⊬9D5⩨∃⊬7DD⨪↰⇹∃⊬D64)","cot":[{"info":"∃⊬14A9⊉≛↸∃⊬B00=∃⊬2952","layer":3},{"info":"⊙↵-∃⊬2952=∃⊬-1","layer":2},{"info":"∃⊬A51≧⫂∧∃⊬9D5=∃⊬7FC","layer":3},{"info":"∃⊬7DD⨪↰⇹∃⊬D64=∃⊬7DD","layer":3},{"info":"∃⊬7FC⩨∃⊬7DD=∃⊬0","layer":2},{"info":"∃⊬-1⋳⪒∃⊬0=∃⊬-121","layer":1},{"info":"⨵≀≌∃⊬-121=∃⊬14641","layer":0}]}
{"id":36,"expression_no_base_symbol":"(($2058$+⇶⊼$1475$↙$3723$⋥≓≎$3410$)⪠⩆⊳)↙(↽≂$8863$⨪↰⇹$4633$⨎(↩$4619$))","expression":"((∃⊬80A+⇶⊼∃⊬5C3↙∃⊬E8B⋥≓≎∃⊬D52)⪠⩆⊳)↙(↽≂∃⊬229F⨪↰⇹∃⊬1219⨎(↩∃⊬120B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8896,"operation_count":9,"complexity_ratio":988.4444444444445,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2058,"base":16},"right_expr":{"type":"numeric_atoms","value":1475,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3723,"base":16},"right_expr":{"type":"numeric_atoms","value":3410,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8863,"base":16},"right_expr":{"type":"numeric_atoms","value":4633,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4619,"base":16}}}}},"used_operators":["yyfyN0ffXY","JLbD19bQDL","TpPTUOHfaN","Qy55tPpLXF","u6S6b8DprG","rJVOvQCfKK","tmPS8pqC7x","jLgFTUHLKL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","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=2058","layer":4},{"info":"number node, value=1475","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=1475, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3723","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=3723, right_input=3410, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3130, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"number node, value=8863","layer":4},{"info":"number node, value=4633","layer":4},{"info":"compute binary expreesion, left_input=8863, right_input=4633, 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=8863","layer":3},{"info":"number node, value=4619","layer":4},{"info":"compute unary expreesion, input=4619, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-34172","layer":3},{"info":"compute binary expreesion, left_input=8863, right_input=-34172, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-34172","layer":2},{"info":"compute unary expreesion, input=-34172, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=68344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=68344, 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":"((∃⊬80A+⇶⊼∃⊬5C3↙∃⊬E8B⋥≓≎∃⊬D52)⪠⩆⊳)↙(↽≂∃⊬229F⨪↰⇹∃⊬1219⨎(↩∃⊬120B))=NaN","reverse_text":"NaN=((∃⊬80A+⇶⊼∃⊬5C3↙∃⊬E8B⋥≓≎∃⊬D52)⪠⩆⊳)↙(↽≂∃⊬229F⨪↰⇹∃⊬1219⨎(↩∃⊬120B))","cot":[{"info":"∃⊬80A+⇶⊼∃⊬5C3=NaN","layer":3},{"info":"∃⊬E8B⋥≓≎∃⊬D52=∃⊬C3A","layer":3},{"info":"NaN↙∃⊬C3A=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"∃⊬229F⨪↰⇹∃⊬1219=∃⊬229F","layer":3},{"info":"↩∃⊬120B=∃⊬-857C","layer":3},{"info":"∃⊬229F⨎∃⊬-857C=∃⊬-857C","layer":2},{"info":"↽≂∃⊬-857C=∃⊬10AF8","layer":1},{"info":"NaN↙∃⊬10AF8=NaN","layer":0}]}
{"id":37,"expression_no_base_symbol":"(∥⊫(($3291$⫥∨⫟$5572$)⩠))%(⨞⊢$1308$⪘⫢$4139$)⨟⋌⩍(($4040$⋥≓≎$3533$)⨽$3929$⪘⫢$1962$)","expression":"(∥⊫((∃⊬CDB⫥∨⫟∃⊬15C4)⩠))%(⨞⊢∃⊬51C⪘⫢∃⊬102B)⨟⋌⩍((∃⊬FC8⋥≓≎∃⊬DCD)⨽∃⊬F59⪘⫢∃⊬7AA)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3281,"operation_count":10,"complexity_ratio":328.1,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3291,"base":16},"right_expr":{"type":"numeric_atoms","value":5572,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1308,"base":16},"right_expr":{"type":"numeric_atoms","value":4139,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4040,"base":16},"right_expr":{"type":"numeric_atoms","value":3533,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3929,"base":16},"right_expr":{"type":"numeric_atoms","value":1962,"base":16}}}}},"used_operators":["k8jYdgA6NY","P8v4zCKN1o","sJAwomhLZr","KYD54nUTWz","rGHVDoGpnC","xUOZtlo3hN","oacrs7FA3X","8HhzD0ZcuI","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3291","layer":4},{"info":"number node, value=5572","layer":4},{"info":"compute binary expreesion, left_input=3291, right_input=5572, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1308","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=4139, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2492","layer":3},{"info":"compute unary expreesion, input=2492, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2666","layer":2},{"info":"number node, value=4040","layer":4},{"info":"number node, value=3533","layer":4},{"info":"compute binary expreesion, left_input=4040, right_input=3533, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3059","layer":3},{"info":"number node, value=3929","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1962, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7734","layer":3},{"info":"compute binary expreesion, left_input=3059, right_input=7734, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-28094331","layer":2},{"info":"compute binary expreesion, left_input=-2666, right_input=-28094331, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∥⊫((∃⊬CDB⫥∨⫟∃⊬15C4)⩠))%(⨞⊢∃⊬51C⪘⫢∃⊬102B)⨟⋌⩍((∃⊬FC8⋥≓≎∃⊬DCD)⨽∃⊬F59⪘⫢∃⊬7AA)=NaN","reverse_text":"NaN=(∥⊫((∃⊬CDB⫥∨⫟∃⊬15C4)⩠))%(⨞⊢∃⊬51C⪘⫢∃⊬102B)⨟⋌⩍((∃⊬FC8⋥≓≎∃⊬DCD)⨽∃⊬F59⪘⫢∃⊬7AA)","cot":[{"info":"∃⊬CDB⫥∨⫟∃⊬15C4=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"∃⊬51C⪘⫢∃⊬102B=∃⊬9BC","layer":3},{"info":"⨞⊢∃⊬9BC=∃⊬-A6A","layer":2},{"info":"∃⊬FC8⋥≓≎∃⊬DCD=∃⊬BF3","layer":3},{"info":"∃⊬F59⪘⫢∃⊬7AA=∃⊬1E36","layer":3},{"info":"∃⊬BF3⨽∃⊬1E36=∃⊬-1ACAF7B","layer":2},{"info":"∃⊬-A6A⨟⋌⩍∃⊬-1ACAF7B=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":38,"expression_no_base_symbol":"(($1214$%$3763$)⪐)⪮%⊝(($5472$⩤)⇼⇔∾$5742$⩷∴$3921$)⪨≂(↥$2237$⋳⪒$2260$)⪢((⨰⫟⨤$5656$)+($1763$/$2417$))","expression":"((∃⊬4BE%∃⊬EB3)⪐)⪮%⊝((∃⊬1560⩤)⇼⇔∾∃⊬166E⩷∴∃⊬F51)⪨≂(↥∃⊬8BD⋳⪒∃⊬8D4)⪢((⨰⫟⨤∃⊬1618)+(∃⊬6E3/∃⊬971))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":21857,"operation_count":13,"complexity_ratio":1681.3076923076924,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1214,"base":16},"right_expr":{"type":"numeric_atoms","value":3763,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5472,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5742,"base":16},"right_expr":{"type":"numeric_atoms","value":3921,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2237,"base":16},"right_expr":{"type":"numeric_atoms","value":2260,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5656,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":2417,"base":16}}}}},"used_operators":["sdazOOVcIp","IWmyXbctLI","eH2TOUuTDT","k8jYdgA6NY","tifHPKVTfV","Z2TMIBDE3Q","9FxExcQeMw","dWAJyo7jo9","A8NUZmVepG","12rbrZMWeM","W4YGzv6Whe","Tw270M8GLb","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1214","layer":4},{"info":"number node, value=3763","layer":4},{"info":"compute binary expreesion, left_input=1214, right_input=3763, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1214","layer":3},{"info":"compute unary expreesion, input=1214, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2428","layer":2},{"info":"number node, value=5472","layer":4},{"info":"compute unary expreesion, input=5472, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5472","layer":3},{"info":"number node, value=5742","layer":4},{"info":"number node, value=3921","layer":4},{"info":"compute binary expreesion, left_input=5742, right_input=3921, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3610","layer":3},{"info":"compute binary expreesion, left_input=-5472, right_input=3610, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9082","layer":2},{"info":"compute binary expreesion, left_input=2428, right_input=9082, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5172","layer":1},{"info":"number node, value=2237","layer":4},{"info":"number node, value=2260","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=2260, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1927","layer":3},{"info":"compute unary expreesion, input=1927, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":2},{"info":"number node, value=5656","layer":4},{"info":"compute unary expreesion, input=5656, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=2417, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=40, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=5172, 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":"((∃⊬4BE%∃⊬EB3)⪐)⪮%⊝((∃⊬1560⩤)⇼⇔∾∃⊬166E⩷∴∃⊬F51)⪨≂(↥∃⊬8BD⋳⪒∃⊬8D4)⪢((⨰⫟⨤∃⊬1618)+(∃⊬6E3/∃⊬971))=NaN","reverse_text":"NaN=((∃⊬4BE%∃⊬EB3)⪐)⪮%⊝((∃⊬1560⩤)⇼⇔∾∃⊬166E⩷∴∃⊬F51)⪨≂(↥∃⊬8BD⋳⪒∃⊬8D4)⪢((⨰⫟⨤∃⊬1618)+(∃⊬6E3/∃⊬971))","cot":[{"info":"∃⊬4BE%∃⊬EB3=∃⊬4BE","layer":3},{"info":"∃⊬4BE⪐=∃⊬97C","layer":2},{"info":"∃⊬1560⩤=∃⊬-1560","layer":3},{"info":"∃⊬166E⩷∴∃⊬F51=∃⊬E1A","layer":3},{"info":"∃⊬-1560⇼⇔∾∃⊬E1A=∃⊬237A","layer":2},{"info":"∃⊬97C⪮%⊝∃⊬237A=∃⊬1434","layer":1},{"info":"∃⊬8BD⋳⪒∃⊬8D4=∃⊬787","layer":3},{"info":"↥∃⊬787=∃⊬28","layer":2},{"info":"⨰⫟⨤∃⊬1618=NaN","layer":3},{"info":"∃⊬6E3/∃⊬971=∃⊬0","layer":3},{"info":"NaN+∃⊬0=NaN","layer":2},{"info":"∃⊬28⪢NaN=NaN","layer":1},{"info":"∃⊬1434⪨≂NaN=NaN","layer":0}]}
{"id":39,"expression_no_base_symbol":"(↩(($5847$⊪)⪨≂$2109$⫸⊐$1396$))≹⇙⪍((⪲⇎($3150$≫≃))≹⇙⪍(⇁⨣⪵(⪲⇎$4492$)))","expression":"(↩((∃⊬16D7⊪)⪨≂∃⊬83D⫸⊐∃⊬574))≹⇙⪍((⪲⇎(∃⊬C4E≫≃))≹⇙⪍(⇁⨣⪵(⪲⇎∃⊬118C)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":96,"operation_count":10,"complexity_ratio":9.6,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5847,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2109,"base":16},"right_expr":{"type":"numeric_atoms","value":1396,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3150,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4492,"base":16}}}}},"used_operators":["AHs5Up7iyr","jLgFTUHLKL","sdazOOVcIp","zVYPLywUTj","mqXw5SEYmG","XPYlsWDdGa","X99M06cbEe","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5847","layer":4},{"info":"compute unary expreesion, input=5847, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2109","layer":4},{"info":"number node, value=1396","layer":4},{"info":"compute binary expreesion, left_input=2109, right_input=1396, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5459","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=5459, 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=-10816","layer":2},{"info":"compute unary expreesion, input=-10816, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=45884","layer":1},{"info":"number node, value=3150","layer":4},{"info":"compute unary expreesion, input=3150, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7701","layer":3},{"info":"compute unary expreesion, input=7701, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15402","layer":2},{"info":"number node, value=4492","layer":4},{"info":"compute unary expreesion, input=4492, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8984","layer":3},{"info":"compute unary expreesion, input=8984, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15402, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=45884, 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":"(↩((∃⊬16D7⊪)⪨≂∃⊬83D⫸⊐∃⊬574))≹⇙⪍((⪲⇎(∃⊬C4E≫≃))≹⇙⪍(⇁⨣⪵(⪲⇎∃⊬118C)))=NaN","reverse_text":"NaN=(↩((∃⊬16D7⊪)⪨≂∃⊬83D⫸⊐∃⊬574))≹⇙⪍((⪲⇎(∃⊬C4E≫≃))≹⇙⪍(⇁⨣⪵(⪲⇎∃⊬118C)))","cot":[{"info":"∃⊬16D7⊪=∃⊬0","layer":3},{"info":"∃⊬83D⫸⊐∃⊬574=∃⊬1553","layer":3},{"info":"∃⊬0⪨≂∃⊬1553=∃⊬-2A40","layer":2},{"info":"↩∃⊬-2A40=∃⊬B33C","layer":1},{"info":"∃⊬C4E≫≃=∃⊬1E15","layer":3},{"info":"⪲⇎∃⊬1E15=∃⊬3C2A","layer":2},{"info":"⪲⇎∃⊬118C=∃⊬2318","layer":3},{"info":"⇁⨣⪵∃⊬2318=NaN","layer":2},{"info":"∃⊬3C2A≹⇙⪍NaN=NaN","layer":1},{"info":"∃⊬B33C≹⇙⪍NaN=NaN","layer":0}]}
{"id":40,"expression_no_base_symbol":"(⪝⪂⫅(($6987$⪨≂$1330$)*$7116$⋥≓≎$1384$))+($7266$≭$1030$⊉≛↸(-$4915$))⋥≓≎(($4011$∧)⩨$6433$⩚⊴⇥$7670$)","expression":"(⪝⪂⫅((∃⊬1B4B⪨≂∃⊬532)*∃⊬1BCC⋥≓≎∃⊬568))+(∃⊬1C62≭∃⊬406⊉≛↸(-∃⊬1333))⋥≓≎((∃⊬FAB∧)⩨∃⊬1921⩚⊴⇥∃⊬1DF6)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4494,"operation_count":12,"complexity_ratio":374.5,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6987,"base":16},"right_expr":{"type":"numeric_atoms","value":1330,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":7116,"base":16},"right_expr":{"type":"numeric_atoms","value":1384,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7266,"base":16},"right_expr":{"type":"numeric_atoms","value":1030,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4915,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4011,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6433,"base":16},"right_expr":{"type":"numeric_atoms","value":7670,"base":16}}}}},"used_operators":["W4YGzv6Whe","XTarYq4gQB","9HNa5Wba9A","sdazOOVcIp","Qy55tPpLXF","DZ8iAZOCBD","rxpJgHHUmx","t8gj7n24qd","2DlMacCsIx","z63VuFQld9","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6987","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=6987, right_input=1330, 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=11416","layer":3},{"info":"number node, value=7116","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=1384, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4315","layer":3},{"info":"compute binary expreesion, left_input=11416, right_input=-4315, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-49260040","layer":2},{"info":"compute unary expreesion, input=-49260040, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=inf","layer":1},{"info":"number node, value=7266","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=7266, right_input=1030, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4915","layer":4},{"info":"compute unary expreesion, input=4915, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4915","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4915, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=4011","layer":4},{"info":"compute unary expreesion, input=4011, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=6433","layer":4},{"info":"number node, value=7670","layer":4},{"info":"compute binary expreesion, left_input=6433, right_input=7670, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-14224","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-14224, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=inf, right_input=67, op_id = W4YGzv6Whe binary_op_definition= 'None', output=inf","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅((∃⊬1B4B⪨≂∃⊬532)*∃⊬1BCC⋥≓≎∃⊬568))+(∃⊬1C62≭∃⊬406⊉≛↸(-∃⊬1333))⋥≓≎((∃⊬FAB∧)⩨∃⊬1921⩚⊴⇥∃⊬1DF6)=Inf","reverse_text":"Inf=(⪝⪂⫅((∃⊬1B4B⪨≂∃⊬532)*∃⊬1BCC⋥≓≎∃⊬568))+(∃⊬1C62≭∃⊬406⊉≛↸(-∃⊬1333))⋥≓≎((∃⊬FAB∧)⩨∃⊬1921⩚⊴⇥∃⊬1DF6)","cot":[{"info":"∃⊬1B4B⪨≂∃⊬532=∃⊬2C98","layer":3},{"info":"∃⊬1BCC⋥≓≎∃⊬568=∃⊬-10DB","layer":3},{"info":"∃⊬2C98*∃⊬-10DB=∃⊬-2EFA608","layer":2},{"info":"⪝⪂⫅∃⊬-2EFA608=Inf","layer":1},{"info":"∃⊬1C62≭∃⊬406=NaN","layer":3},{"info":"-∃⊬1333=∃⊬-1333","layer":3},{"info":"NaN⊉≛↸∃⊬-1333=NaN","layer":2},{"info":"∃⊬FAB∧=NaN","layer":3},{"info":"∃⊬1921⩚⊴⇥∃⊬1DF6=∃⊬-3790","layer":3},{"info":"NaN⩨∃⊬-3790=NaN","layer":2},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":1},{"info":"Inf+∃⊬43=Inf","layer":0}]}
{"id":41,"expression_no_base_symbol":"((↣≠⋷($1635$⨓$1294$))⊭↱$2597$⨰$1101$+⇶⊼($5295$∲⫓$5905$))⨐⩸⫘(($4676$≫≃)⪘⫢(∥⊫$2049$))⨪↰⇹(($4516$≣⋋)⊘)","expression":"((↣≠⋷(∃⊬663⨓∃⊬50E))⊭↱∃⊬A25⨰∃⊬44D+⇶⊼(∃⊬14AF∲⫓∃⊬1711))⨐⩸⫘((∃⊬1244≫≃)⪘⫢(∥⊫∃⊬801))⨪↰⇹((∃⊬11A4≣⋋)⊘)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":23263,"operation_count":13,"complexity_ratio":1789.4615384615386,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1635,"base":16},"right_expr":{"type":"numeric_atoms","value":1294,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2597,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5295,"base":16},"right_expr":{"type":"numeric_atoms","value":5905,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4676,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2049,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4516,"base":16}}}}},"used_operators":["fu6greOZ01","COABgblf1C","Asc51vEJeQ","3ViojmjbAp","TpPTUOHfaN","eewbuw0ToL","i8ToyICDmI","tmPS8pqC7x","oacrs7FA3X","X99M06cbEe","P8v4zCKN1o","gu96TGCTMs","Tcnh7f0tEr"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1635","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=1635, right_input=1294, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1297","layer":3},{"info":"compute unary expreesion, input=-1297, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2597","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2597, right_input=1101, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1506","layer":3},{"info":"number node, value=5295","layer":4},{"info":"number node, value=5905","layer":4},{"info":"compute binary expreesion, left_input=5295, right_input=5905, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1506, right_input=0, 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=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=4676","layer":4},{"info":"compute unary expreesion, input=4676, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10753","layer":3},{"info":"number node, value=2049","layer":4},{"info":"compute unary expreesion, input=2049, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2917","layer":3},{"info":"compute binary expreesion, left_input=10753, right_input=2917, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=21382","layer":2},{"info":"number node, value=4516","layer":4},{"info":"compute unary expreesion, input=4516, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=21382, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=21382","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=21382, 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":"((↣≠⋷(∃⊬663⨓∃⊬50E))⊭↱∃⊬A25⨰∃⊬44D+⇶⊼(∃⊬14AF∲⫓∃⊬1711))⨐⩸⫘((∃⊬1244≫≃)⪘⫢(∥⊫∃⊬801))⨪↰⇹((∃⊬11A4≣⋋)⊘)=NaN","reverse_text":"NaN=((↣≠⋷(∃⊬663⨓∃⊬50E))⊭↱∃⊬A25⨰∃⊬44D+⇶⊼(∃⊬14AF∲⫓∃⊬1711))⨐⩸⫘((∃⊬1244≫≃)⪘⫢(∥⊫∃⊬801))⨪↰⇹((∃⊬11A4≣⋋)⊘)","cot":[{"info":"∃⊬663⨓∃⊬50E=∃⊬-511","layer":3},{"info":"↣≠⋷∃⊬-511=NaN","layer":2},{"info":"∃⊬A25⨰∃⊬44D=∃⊬5E2","layer":3},{"info":"∃⊬14AF∲⫓∃⊬1711=∃⊬0","layer":3},{"info":"∃⊬5E2+⇶⊼∃⊬0=∃⊬0","layer":2},{"info":"NaN⊭↱∃⊬0=NaN","layer":1},{"info":"∃⊬1244≫≃=∃⊬2A01","layer":3},{"info":"∥⊫∃⊬801=∃⊬B65","layer":3},{"info":"∃⊬2A01⪘⫢∃⊬B65=∃⊬5386","layer":2},{"info":"∃⊬11A4≣⋋=∃⊬0","layer":3},{"info":"∃⊬0⊘=∃⊬0","layer":2},{"info":"∃⊬5386⨪↰⇹∃⊬0=∃⊬5386","layer":1},{"info":"NaN⨐⩸⫘∃⊬5386=NaN","layer":0}]}
{"id":42,"expression_no_base_symbol":"(($5959$↺$1764$)⊘)⪮%⊝(($1987$↪⪝)⫸⊐($4281$≋⫹))/(($3095$⊠≄⫣)⫩⊇)∼(($2280$⋳⪒$1153$)⩚⊴⇥(⩦⩻⨪$2769$))","expression":"((∃⊬1747↺∃⊬6E4)⊘)⪮%⊝((∃⊬7C3↪⪝)⫸⊐(∃⊬10B9≋⫹))/((∃⊬C17⊠≄⫣)⫩⊇)∼((∃⊬8E8⋳⪒∃⊬481)⩚⊴⇥(⩦⩻⨪∃⊬AD1))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":777,"operation_count":13,"complexity_ratio":59.76923076923077,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5959,"base":16},"right_expr":{"type":"numeric_atoms","value":1764,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1987,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4281,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3095,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2280,"base":16},"right_expr":{"type":"numeric_atoms","value":1153,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2769,"base":16}}}}},"used_operators":["XhwjNDsVaA","IWmyXbctLI","gu96TGCTMs","7j4O788W3g","mqXw5SEYmG","l07mrZUIn9","N41Kp7NANJ","DyGG3AbaNP","BjRHVeLaeN","DIvbN7qnHd","NTOWxs364D","12rbrZMWeM","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5959","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=5959, right_input=1764, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1764","layer":3},{"info":"compute unary expreesion, input=1764, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=121568634","layer":3},{"info":"number node, value=4281","layer":4},{"info":"compute unary expreesion, input=4281, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8562","layer":3},{"info":"compute binary expreesion, left_input=121568634, right_input=-8562, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-17253","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-17253, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":1},{"info":"number node, value=3095","layer":4},{"info":"compute unary expreesion, input=3095, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":2},{"info":"number node, value=2280","layer":4},{"info":"number node, value=1153","layer":4},{"info":"compute binary expreesion, left_input=2280, right_input=1153, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3120","layer":3},{"info":"number node, value=2769","layer":4},{"info":"compute unary expreesion, input=2769, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2769","layer":3},{"info":"compute binary expreesion, left_input=3120, right_input=2769, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6010","layer":2},{"info":"compute binary expreesion, left_input=42, right_input=-6010, 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=316, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1747↺∃⊬6E4)⊘)⪮%⊝((∃⊬7C3↪⪝)⫸⊐(∃⊬10B9≋⫹))/((∃⊬C17⊠≄⫣)⫩⊇)∼((∃⊬8E8⋳⪒∃⊬481)⩚⊴⇥(⩦⩻⨪∃⊬AD1))=NaN","reverse_text":"NaN=((∃⊬1747↺∃⊬6E4)⊘)⪮%⊝((∃⊬7C3↪⪝)⫸⊐(∃⊬10B9≋⫹))/((∃⊬C17⊠≄⫣)⫩⊇)∼((∃⊬8E8⋳⪒∃⊬481)⩚⊴⇥(⩦⩻⨪∃⊬AD1))","cot":[{"info":"∃⊬1747↺∃⊬6E4=∃⊬6E4","layer":3},{"info":"∃⊬6E4⊘=∃⊬0","layer":2},{"info":"∃⊬7C3↪⪝=∃⊬73EFD7A","layer":3},{"info":"∃⊬10B9≋⫹=∃⊬-2172","layer":3},{"info":"∃⊬73EFD7A⫸⊐∃⊬-2172=∃⊬-4365","layer":2},{"info":"∃⊬0⪮%⊝∃⊬-4365=∃⊬13C","layer":1},{"info":"∃⊬C17⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬0⫩⊇=∃⊬2A","layer":2},{"info":"∃⊬8E8⋳⪒∃⊬481=∃⊬C30","layer":3},{"info":"⩦⩻⨪∃⊬AD1=∃⊬AD1","layer":3},{"info":"∃⊬C30⩚⊴⇥∃⊬AD1=∃⊬-177A","layer":2},{"info":"∃⊬2A∼∃⊬-177A=NaN","layer":1},{"info":"∃⊬13C/NaN=NaN","layer":0}]}
{"id":43,"expression_no_base_symbol":"(($6051$⨰$4536$)⨓(≉$3631$))⨪↰⇹($6596$⨳⩥⨓$1415$)⪛(⊄⩳↩$7464$)⩤","expression":"((∃⊬17A3⨰∃⊬11B8)⨓(≉∃⊬E2F))⨪↰⇹(∃⊬19C4⨳⩥⨓∃⊬587)⪛(⊄⩳↩∃⊬1D28)⩤","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8352,"operation_count":8,"complexity_ratio":1044.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6051,"base":16},"right_expr":{"type":"numeric_atoms","value":4536,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3631,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6596,"base":16},"right_expr":{"type":"numeric_atoms","value":1415,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":7464,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","tmPS8pqC7x","3ViojmjbAp","eewbuw0ToL","e1ybzncUwg","uFcxV4UQCh","nCS4ZIUYfx","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1045","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6051","layer":4},{"info":"number node, value=4536","layer":4},{"info":"compute binary expreesion, left_input=6051, right_input=4536, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1525","layer":3},{"info":"number node, value=3631","layer":4},{"info":"compute unary expreesion, input=3631, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4162","layer":3},{"info":"compute binary expreesion, left_input=1525, right_input=4162, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4165","layer":2},{"info":"number node, value=6596","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=6596, right_input=1415, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5181","layer":3},{"info":"number node, value=7464","layer":4},{"info":"compute unary expreesion, input=7464, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-22392","layer":3},{"info":"compute binary expreesion, left_input=-5181, right_input=-22392, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5181","layer":2},{"info":"compute binary expreesion, left_input=-4165, right_input=-5181, 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=4165","layer":1},{"info":"compute unary expreesion, input=4165, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4165","layer":0}],"base":16,"result_base":16,"text":"((∃⊬17A3⨰∃⊬11B8)⨓(≉∃⊬E2F))⨪↰⇹(∃⊬19C4⨳⩥⨓∃⊬587)⪛(⊄⩳↩∃⊬1D28)⩤=∃⊬-1045","reverse_text":"∃⊬-1045=((∃⊬17A3⨰∃⊬11B8)⨓(≉∃⊬E2F))⨪↰⇹(∃⊬19C4⨳⩥⨓∃⊬587)⪛(⊄⩳↩∃⊬1D28)⩤","cot":[{"info":"∃⊬17A3⨰∃⊬11B8=∃⊬5F5","layer":3},{"info":"≉∃⊬E2F=∃⊬1042","layer":3},{"info":"∃⊬5F5⨓∃⊬1042=∃⊬-1045","layer":2},{"info":"∃⊬19C4⨳⩥⨓∃⊬587=∃⊬-143D","layer":3},{"info":"⊄⩳↩∃⊬1D28=∃⊬-5778","layer":3},{"info":"∃⊬-143D⪛∃⊬-5778=∃⊬-143D","layer":2},{"info":"∃⊬-1045⨪↰⇹∃⊬-143D=∃⊬1045","layer":1},{"info":"∃⊬1045⩤=∃⊬-1045","layer":0}]}
{"id":44,"expression_no_base_symbol":"(($3009$⪘⫢$1200$)≹⇙⪍($1528$⫥∨⫟$2313$)%(↩$3929$⨐⩸⫘$5236$))⩷∴(($1168$↺$1190$⊭↱$3234$⋳⪒$3648$)↺(↯⪼($3753$≭$3458$)))","expression":"((∃⊬BC1⪘⫢∃⊬4B0)≹⇙⪍(∃⊬5F8⫥∨⫟∃⊬909)%(↩∃⊬F59⨐⩸⫘∃⊬1474))⩷∴((∃⊬490↺∃⊬4A6⊭↱∃⊬CA2⋳⪒∃⊬E40)↺(↯⪼(∃⊬EA9≭∃⊬D82)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":246,"operation_count":13,"complexity_ratio":18.923076923076923,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3009,"base":16},"right_expr":{"type":"numeric_atoms","value":1200,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1528,"base":16},"right_expr":{"type":"numeric_atoms","value":2313,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3929,"base":16},"right_expr":{"type":"numeric_atoms","value":5236,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1168,"base":16},"right_expr":{"type":"numeric_atoms","value":1190,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3234,"base":16},"right_expr":{"type":"numeric_atoms","value":3648,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3753,"base":16},"right_expr":{"type":"numeric_atoms","value":3458,"base":16}}}}},"used_operators":["9FxExcQeMw","k8jYdgA6NY","AHs5Up7iyr","oacrs7FA3X","KYD54nUTWz","jLgFTUHLKL","fu6greOZ01","7j4O788W3g","COABgblf1C","12rbrZMWeM","8jW3W4yZS5","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=1200, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5894","layer":3},{"info":"number node, value=1528","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=2313, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5894, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3929","layer":4},{"info":"number node, value=5236","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=5236, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1168","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=1190, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1190","layer":3},{"info":"number node, value=3234","layer":4},{"info":"number node, value=3648","layer":4},{"info":"compute binary expreesion, left_input=3234, right_input=3648, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2533","layer":3},{"info":"compute binary expreesion, left_input=1190, right_input=2533, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2691","layer":2},{"info":"number node, value=3753","layer":4},{"info":"number node, value=3458","layer":4},{"info":"compute binary expreesion, left_input=3753, right_input=3458, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=2691, 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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":"((∃⊬BC1⪘⫢∃⊬4B0)≹⇙⪍(∃⊬5F8⫥∨⫟∃⊬909)%(↩∃⊬F59⨐⩸⫘∃⊬1474))⩷∴((∃⊬490↺∃⊬4A6⊭↱∃⊬CA2⋳⪒∃⊬E40)↺(↯⪼(∃⊬EA9≭∃⊬D82)))=NaN","reverse_text":"NaN=((∃⊬BC1⪘⫢∃⊬4B0)≹⇙⪍(∃⊬5F8⫥∨⫟∃⊬909)%(↩∃⊬F59⨐⩸⫘∃⊬1474))⩷∴((∃⊬490↺∃⊬4A6⊭↱∃⊬CA2⋳⪒∃⊬E40)↺(↯⪼(∃⊬EA9≭∃⊬D82)))","cot":[{"info":"∃⊬BC1⪘⫢∃⊬4B0=∃⊬1706","layer":3},{"info":"∃⊬5F8⫥∨⫟∃⊬909=NaN","layer":3},{"info":"∃⊬1706≹⇙⪍NaN=NaN","layer":2},{"info":"∃⊬F59⨐⩸⫘∃⊬1474=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"∃⊬490↺∃⊬4A6=∃⊬4A6","layer":3},{"info":"∃⊬CA2⋳⪒∃⊬E40=∃⊬9E5","layer":3},{"info":"∃⊬4A6⊭↱∃⊬9E5=∃⊬A83","layer":2},{"info":"∃⊬EA9≭∃⊬D82=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"∃⊬A83↺∃⊬-15=∃⊬-15","layer":1},{"info":"NaN⩷∴∃⊬-15=NaN","layer":0}]}
{"id":45,"expression_no_base_symbol":"↯⪼((≦∁$1896$⋳⪒$3239$)⨓(↣≠⋷($3106$⨓$1053$)))","expression":"↯⪼((≦∁∃⊬768⋳⪒∃⊬CA7)⨓(↣≠⋷(∃⊬C22⨓∃⊬41D)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1131,"operation_count":6,"complexity_ratio":188.5,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1896,"base":16},"right_expr":{"type":"numeric_atoms","value":3239,"base":16}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3106,"base":16},"right_expr":{"type":"numeric_atoms","value":1053,"base":16}}}}},"used_operators":["8jW3W4yZS5","3ViojmjbAp","9ICcGScMcE","12rbrZMWeM","Asc51vEJeQ"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1896","layer":4},{"info":"number node, value=3239","layer":4},{"info":"compute binary expreesion, left_input=1896, right_input=3239, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=266","layer":3},{"info":"compute unary expreesion, input=266, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-3512","layer":2},{"info":"number node, value=3106","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3106, right_input=1053, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1056","layer":3},{"info":"compute unary expreesion, input=-1056, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3512, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"↯⪼((≦∁∃⊬768⋳⪒∃⊬CA7)⨓(↣≠⋷(∃⊬C22⨓∃⊬41D)))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼((≦∁∃⊬768⋳⪒∃⊬CA7)⨓(↣≠⋷(∃⊬C22⨓∃⊬41D)))","cot":[{"info":"∃⊬768⋳⪒∃⊬CA7=∃⊬10A","layer":3},{"info":"≦∁∃⊬10A=∃⊬-DB8","layer":2},{"info":"∃⊬C22⨓∃⊬41D=∃⊬-420","layer":3},{"info":"↣≠⋷∃⊬-420=NaN","layer":2},{"info":"∃⊬-DB8⨓NaN=NaN","layer":1},{"info":"↯⪼NaN=∃⊬-15","layer":0}]}
{"id":46,"expression_no_base_symbol":"(($2487$⊠≄⫣)≭($4809$⊭↱$1254$))⪮%⊝($2901$⪒$1806$⨵⪆($1971$+$4108$))∲⫓($8799$⩨$6140$)↙($1399$⪨≂$4534$)⨳⩥⨓(($2942$⫩⊇)∧)","expression":"((∃⊬9B7⊠≄⫣)≭(∃⊬12C9⊭↱∃⊬4E6))⪮%⊝(∃⊬B55⪒∃⊬70E⨵⪆(∃⊬7B3+∃⊬100C))∲⫓(∃⊬225F⩨∃⊬17FC)↙(∃⊬577⪨≂∃⊬11B6)⨳⩥⨓((∃⊬B7E⫩⊇)∧)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":48,"operation_count":14,"complexity_ratio":3.4285714285714284,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2487,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4809,"base":16},"right_expr":{"type":"numeric_atoms","value":1254,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2901,"base":16},"right_expr":{"type":"numeric_atoms","value":1806,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1971,"base":16},"right_expr":{"type":"numeric_atoms","value":4108,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8799,"base":16},"right_expr":{"type":"numeric_atoms","value":6140,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1399,"base":16},"right_expr":{"type":"numeric_atoms","value":4534,"base":16}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2942,"base":16}}}}},"used_operators":["i8ToyICDmI","IWmyXbctLI","rxpJgHHUmx","DIvbN7qnHd","COABgblf1C","2DQ55sFlQl","f6k1SAg4EE","W4YGzv6Whe","nCS4ZIUYfx","yyfyN0ffXY","2DlMacCsIx","sdazOOVcIp","z63VuFQld9","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2487","layer":4},{"info":"compute unary expreesion, input=2487, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4809","layer":4},{"info":"number node, value=1254","layer":4},{"info":"compute binary expreesion, left_input=4809, right_input=1254, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7105","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7105, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2901","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=2901, right_input=1806, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4707","layer":3},{"info":"number node, value=1971","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1971, right_input=4108, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6079","layer":3},{"info":"compute binary expreesion, left_input=-4707, right_input=6079, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=8799","layer":4},{"info":"number node, value=6140","layer":4},{"info":"compute binary expreesion, left_input=8799, right_input=6140, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1399","layer":4},{"info":"number node, value=4534","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=4534, 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=-6168","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6168, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=2942","layer":4},{"info":"compute unary expreesion, input=2942, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2900","layer":3},{"info":"compute unary expreesion, input=-2900, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"((∃⊬9B7⊠≄⫣)≭(∃⊬12C9⊭↱∃⊬4E6))⪮%⊝(∃⊬B55⪒∃⊬70E⨵⪆(∃⊬7B3+∃⊬100C))∲⫓(∃⊬225F⩨∃⊬17FC)↙(∃⊬577⪨≂∃⊬11B6)⨳⩥⨓((∃⊬B7E⫩⊇)∧)=NaN","reverse_text":"NaN=((∃⊬9B7⊠≄⫣)≭(∃⊬12C9⊭↱∃⊬4E6))⪮%⊝(∃⊬B55⪒∃⊬70E⨵⪆(∃⊬7B3+∃⊬100C))∲⫓(∃⊬225F⩨∃⊬17FC)↙(∃⊬577⪨≂∃⊬11B6)⨳⩥⨓((∃⊬B7E⫩⊇)∧)","cot":[{"info":"∃⊬9B7⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬12C9⊭↱∃⊬4E6=∃⊬-1BC1","layer":3},{"info":"∃⊬0≭∃⊬-1BC1=NaN","layer":2},{"info":"∃⊬B55⪒∃⊬70E=∃⊬-1263","layer":3},{"info":"∃⊬7B3+∃⊬100C=∃⊬17BF","layer":3},{"info":"∃⊬-1263⨵⪆∃⊬17BF=∃⊬A0","layer":2},{"info":"NaN⪮%⊝∃⊬A0=NaN","layer":1},{"info":"∃⊬225F⩨∃⊬17FC=∃⊬0","layer":3},{"info":"∃⊬577⪨≂∃⊬11B6=∃⊬-1818","layer":3},{"info":"∃⊬0↙∃⊬-1818=∃⊬0","layer":2},{"info":"∃⊬B7E⫩⊇=∃⊬-B54","layer":3},{"info":"∃⊬-B54∧=∃⊬0","layer":2},{"info":"∃⊬0⨳⩥⨓∃⊬0=∃⊬0","layer":1},{"info":"NaN∲⫓∃⊬0=NaN","layer":0}]}
{"id":47,"expression_no_base_symbol":"($4232$⪄$5233$)⩷∴($1017$⨰$1171$)⫥∨⫟($1055$≧⫂∧$1671$⋳⪒($2990$⊦⊿))⫸⊐$2826$⪮%⊝$2466$≧⫂∧(∥⊫$1109$)⩚⊴⇥(⪲⇎$1953$)∑⇟⊟$1890$↬$2778$","expression":"(∃⊬1088⪄∃⊬1471)⩷∴(∃⊬3F9⨰∃⊬493)⫥∨⫟(∃⊬41F≧⫂∧∃⊬687⋳⪒(∃⊬BAE⊦⊿))⫸⊐∃⊬B0A⪮%⊝∃⊬9A2≧⫂∧(∥⊫∃⊬455)⩚⊴⇥(⪲⇎∃⊬7A1)∑⇟⊟∃⊬762↬∃⊬ADA","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":300,"operation_count":15,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4232,"base":16},"right_expr":{"type":"numeric_atoms","value":5233,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1017,"base":16},"right_expr":{"type":"numeric_atoms","value":1171,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":1671,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2990,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2826,"base":16},"right_expr":{"type":"numeric_atoms","value":2466,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1109,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1953,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1890,"base":16},"right_expr":{"type":"numeric_atoms","value":2778,"base":16}}}}},"used_operators":["mqXw5SEYmG","KYD54nUTWz","9FxExcQeMw","SUmda5xLS4","eewbuw0ToL","12rbrZMWeM","Ph9nP6C5qx","14qkJME0vr","NTOWxs364D","IWmyXbctLI","P8v4zCKN1o","U7g4x0WXJJ","XPYlsWDdGa","B5M0gjZbta"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4232","layer":4},{"info":"number node, value=5233","layer":4},{"info":"compute binary expreesion, left_input=4232, right_input=5233, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-643357","layer":3},{"info":"number node, value=1017","layer":4},{"info":"number node, value=1171","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1171, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-144","layer":3},{"info":"compute binary expreesion, left_input=-643357, right_input=-144, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1286458","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1671, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1198","layer":3},{"info":"number node, value=2990","layer":4},{"info":"compute unary expreesion, input=2990, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9049","layer":3},{"info":"compute binary expreesion, left_input=1198, right_input=-9049, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11158","layer":2},{"info":"compute binary expreesion, left_input=-1286458, right_input=11158, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2826","layer":4},{"info":"number node, value=2466","layer":4},{"info":"compute binary expreesion, left_input=2826, right_input=2466, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5968","layer":3},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1977","layer":3},{"info":"compute binary expreesion, left_input=5968, right_input=1977, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1504","layer":2},{"info":"number node, value=1953","layer":4},{"info":"compute unary expreesion, input=1953, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3906","layer":3},{"info":"number node, value=1890","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=1890, right_input=2778, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3906, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1504, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"(∃⊬1088⪄∃⊬1471)⩷∴(∃⊬3F9⨰∃⊬493)⫥∨⫟(∃⊬41F≧⫂∧∃⊬687⋳⪒(∃⊬BAE⊦⊿))⫸⊐∃⊬B0A⪮%⊝∃⊬9A2≧⫂∧(∥⊫∃⊬455)⩚⊴⇥(⪲⇎∃⊬7A1)∑⇟⊟∃⊬762↬∃⊬ADA=NaN","reverse_text":"NaN=(∃⊬1088⪄∃⊬1471)⩷∴(∃⊬3F9⨰∃⊬493)⫥∨⫟(∃⊬41F≧⫂∧∃⊬687⋳⪒(∃⊬BAE⊦⊿))⫸⊐∃⊬B0A⪮%⊝∃⊬9A2≧⫂∧(∥⊫∃⊬455)⩚⊴⇥(⪲⇎∃⊬7A1)∑⇟⊟∃⊬762↬∃⊬ADA","cot":[{"info":"∃⊬1088⪄∃⊬1471=∃⊬-9D11D","layer":3},{"info":"∃⊬3F9⨰∃⊬493=∃⊬-90","layer":3},{"info":"∃⊬-9D11D⩷∴∃⊬-90=∃⊬-13A13A","layer":2},{"info":"∃⊬41F≧⫂∧∃⊬687=∃⊬4AE","layer":3},{"info":"∃⊬BAE⊦⊿=∃⊬-2359","layer":3},{"info":"∃⊬4AE⋳⪒∃⊬-2359=∃⊬2B96","layer":2},{"info":"∃⊬-13A13A⫥∨⫟∃⊬2B96=NaN","layer":1},{"info":"∃⊬B0A⪮%⊝∃⊬9A2=∃⊬1750","layer":3},{"info":"∥⊫∃⊬455=∃⊬7B9","layer":3},{"info":"∃⊬1750≧⫂∧∃⊬7B9=∃⊬5E0","layer":2},{"info":"⪲⇎∃⊬7A1=∃⊬F42","layer":3},{"info":"∃⊬762↬∃⊬ADA=NaN","layer":3},{"info":"∃⊬F42∑⇟⊟NaN=NaN","layer":2},{"info":"∃⊬5E0⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":48,"expression_no_base_symbol":"($1959$⋝⋈⪟$1056$⪄(⨈⫕$1007$))⨐⩸⫘$1065$∀⇚≩$6149$⨽(⨑⩽⪐$3694$)+((↩$4126$)⋥≓≎($1730$/$1820$)⋷(($5915$/$1960$)≦≮≮))","expression":"(∃⊬7A7⋝⋈⪟∃⊬420⪄(⨈⫕∃⊬3EF))⨐⩸⫘∃⊬429∀⇚≩∃⊬1805⨽(⨑⩽⪐∃⊬E6E)+((↩∃⊬101E)⋥≓≎(∃⊬6C2/∃⊬71C)⋷((∃⊬171B/∃⊬7A8)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7982,"operation_count":14,"complexity_ratio":570.1428571428571,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1959,"base":16},"right_expr":{"type":"numeric_atoms","value":1056,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1007,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1065,"base":16},"right_expr":{"type":"numeric_atoms","value":6149,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3694,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4126,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1730,"base":16},"right_expr":{"type":"numeric_atoms","value":1820,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5915,"base":16},"right_expr":{"type":"numeric_atoms","value":1960,"base":16}}}}},"used_operators":["W4YGzv6Whe","fu6greOZ01","SUmda5xLS4","2DDjHMKMc0","megm06wKyl","8HhzD0ZcuI","LRNGc0VcxI","AF7qkfDlqP","23Mk6UjR3U","Qy55tPpLXF","jLgFTUHLKL","XhwjNDsVaA","D4vGDi5EA2"],"dependent_operators":["3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"number node, value=1056","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1056, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1959","layer":3},{"info":"number node, value=1007","layer":4},{"info":"compute unary expreesion, input=1007, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1959, right_input=-21, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-285937","layer":2},{"info":"number node, value=1065","layer":4},{"info":"number node, value=6149","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=6149, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3694","layer":4},{"info":"compute unary expreesion, input=3694, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3421","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3421, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-285937, 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":1},{"info":"number node, value=4126","layer":4},{"info":"compute unary expreesion, input=4126, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-30228","layer":3},{"info":"number node, value=1730","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1730, right_input=1820, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-30228, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=5915","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=5915, right_input=1960, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute unary expreesion, input=3, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-9","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-9, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7A7⋝⋈⪟∃⊬420⪄(⨈⫕∃⊬3EF))⨐⩸⫘∃⊬429∀⇚≩∃⊬1805⨽(⨑⩽⪐∃⊬E6E)+((↩∃⊬101E)⋥≓≎(∃⊬6C2/∃⊬71C)⋷((∃⊬171B/∃⊬7A8)≦≮≮))=NaN","reverse_text":"NaN=(∃⊬7A7⋝⋈⪟∃⊬420⪄(⨈⫕∃⊬3EF))⨐⩸⫘∃⊬429∀⇚≩∃⊬1805⨽(⨑⩽⪐∃⊬E6E)+((↩∃⊬101E)⋥≓≎(∃⊬6C2/∃⊬71C)⋷((∃⊬171B/∃⊬7A8)≦≮≮))","cot":[{"info":"∃⊬7A7⋝⋈⪟∃⊬420=∃⊬7A7","layer":3},{"info":"⨈⫕∃⊬3EF=∃⊬-15","layer":3},{"info":"∃⊬7A7⪄∃⊬-15=∃⊬-45CF1","layer":2},{"info":"∃⊬429∀⇚≩∃⊬1805=NaN","layer":3},{"info":"⨑⩽⪐∃⊬E6E=∃⊬-D5D","layer":3},{"info":"NaN⨽∃⊬-D5D=NaN","layer":2},{"info":"∃⊬-45CF1⨐⩸⫘NaN=NaN","layer":1},{"info":"↩∃⊬101E=∃⊬-7614","layer":3},{"info":"∃⊬6C2/∃⊬71C=∃⊬0","layer":3},{"info":"∃⊬-7614⋥≓≎∃⊬0=∃⊬43","layer":2},{"info":"∃⊬171B/∃⊬7A8=∃⊬3","layer":3},{"info":"∃⊬3≦≮≮=∃⊬-9","layer":2},{"info":"∃⊬43⋷∃⊬-9=∃⊬-86","layer":1},{"info":"NaN+∃⊬-86=NaN","layer":0}]}
{"id":49,"expression_no_base_symbol":"∂((($2509$↙$2930$)⪠⩆⊳)⫸⊐(⪲⇎$5261$)≭($1385$⨵⪆$1373$))","expression":"∂(((∃⊬9CD↙∃⊬B72)⪠⩆⊳)⫸⊐(⪲⇎∃⊬148D)≭(∃⊬569⨵⪆∃⊬55D))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3364,"operation_count":7,"complexity_ratio":480.57142857142856,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2509,"base":16},"right_expr":{"type":"numeric_atoms","value":2930,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5261,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1385,"base":16},"right_expr":{"type":"numeric_atoms","value":1373,"base":16}}}}},"used_operators":["Uaa54Peajs","mqXw5SEYmG","JLbD19bQDL","yyfyN0ffXY","rxpJgHHUmx","XPYlsWDdGa","2DQ55sFlQl"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-108","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=2930","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=2930, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8790","layer":3},{"info":"compute unary expreesion, input=-8790, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"number node, value=5261","layer":4},{"info":"compute unary expreesion, input=5261, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10522","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=1373","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=1373, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=10522, right_input=160, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, 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=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":0}],"base":16,"result_base":16,"text":"∂(((∃⊬9CD↙∃⊬B72)⪠⩆⊳)⫸⊐(⪲⇎∃⊬148D)≭(∃⊬569⨵⪆∃⊬55D))=∃⊬-108","reverse_text":"∃⊬-108=∂(((∃⊬9CD↙∃⊬B72)⪠⩆⊳)⫸⊐(⪲⇎∃⊬148D)≭(∃⊬569⨵⪆∃⊬55D))","cot":[{"info":"∃⊬9CD↙∃⊬B72=∃⊬-2256","layer":3},{"info":"∃⊬-2256⪠⩆⊳=∃⊬0","layer":2},{"info":"⪲⇎∃⊬148D=∃⊬291A","layer":3},{"info":"∃⊬569⨵⪆∃⊬55D=∃⊬A0","layer":3},{"info":"∃⊬291A≭∃⊬A0=NaN","layer":2},{"info":"∃⊬0⫸⊐NaN=∃⊬0","layer":1},{"info":"∂∃⊬0=∃⊬-108","layer":0}]}
{"id":50,"expression_no_base_symbol":"($3292$*$1319$∲⫓$5636$≹⇙⪍$4104$)-(⊄⩳↩($1561$⨎$1449$))/(↩$1032$∼$1399$)%($7736$⪮%⊝$6605$)⨟⋌⩍(⩦⩻⨪$5156$)","expression":"(∃⊬CDC*∃⊬527∲⫓∃⊬1604≹⇙⪍∃⊬1008)-(⊄⩳↩(∃⊬619⨎∃⊬5A9))/(↩∃⊬408∼∃⊬577)%(∃⊬1E38⪮%⊝∃⊬19CD)⨟⋌⩍(⩦⩻⨪∃⊬1424)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1383,"operation_count":13,"complexity_ratio":106.38461538461539,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3292,"base":16},"right_expr":{"type":"numeric_atoms","value":1319,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5636,"base":16},"right_expr":{"type":"numeric_atoms","value":4104,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1561,"base":16},"right_expr":{"type":"numeric_atoms","value":1449,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1032,"base":16},"right_expr":{"type":"numeric_atoms","value":1399,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7736,"base":16},"right_expr":{"type":"numeric_atoms","value":6605,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5156,"base":16}}}}},"used_operators":["XhwjNDsVaA","rysDP5nf3Z","i8ToyICDmI","9HNa5Wba9A","AHs5Up7iyr","8w2t5hMYqp","rJVOvQCfKK","k8jYdgA6NY","jLgFTUHLKL","DyGG3AbaNP","rGHVDoGpnC","IWmyXbctLI","2td37pGCOC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":4},{"info":"number node, value=1319","layer":4},{"info":"compute binary expreesion, left_input=3292, right_input=1319, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4342148","layer":3},{"info":"number node, value=5636","layer":4},{"info":"number node, value=4104","layer":4},{"info":"compute binary expreesion, left_input=5636, right_input=4104, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4342148, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1561","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=1449, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1449","layer":3},{"info":"compute unary expreesion, input=1449, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4347","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4347, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1032","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=1399, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"number node, value=7736","layer":4},{"info":"number node, value=6605","layer":4},{"info":"compute binary expreesion, left_input=7736, right_input=6605, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15788","layer":3},{"info":"number node, value=5156","layer":4},{"info":"compute unary expreesion, input=5156, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5156","layer":3},{"info":"compute binary expreesion, left_input=15788, right_input=5156, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CDC*∃⊬527∲⫓∃⊬1604≹⇙⪍∃⊬1008)-(⊄⩳↩(∃⊬619⨎∃⊬5A9))/(↩∃⊬408∼∃⊬577)%(∃⊬1E38⪮%⊝∃⊬19CD)⨟⋌⩍(⩦⩻⨪∃⊬1424)=NaN","reverse_text":"NaN=(∃⊬CDC*∃⊬527∲⫓∃⊬1604≹⇙⪍∃⊬1008)-(⊄⩳↩(∃⊬619⨎∃⊬5A9))/(↩∃⊬408∼∃⊬577)%(∃⊬1E38⪮%⊝∃⊬19CD)⨟⋌⩍(⩦⩻⨪∃⊬1424)","cot":[{"info":"∃⊬CDC*∃⊬527=∃⊬424184","layer":3},{"info":"∃⊬1604≹⇙⪍∃⊬1008=NaN","layer":3},{"info":"∃⊬424184∲⫓NaN=NaN","layer":2},{"info":"∃⊬619⨎∃⊬5A9=∃⊬5A9","layer":3},{"info":"⊄⩳↩∃⊬5A9=∃⊬-10FB","layer":2},{"info":"NaN-∃⊬-10FB=NaN","layer":1},{"info":"∃⊬408∼∃⊬577=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"∃⊬1E38⪮%⊝∃⊬19CD=∃⊬3DAC","layer":3},{"info":"⩦⩻⨪∃⊬1424=∃⊬1424","layer":3},{"info":"∃⊬3DAC⨟⋌⩍∃⊬1424=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":51,"expression_no_base_symbol":"($1344$∼$5806$⪨≂(⇁⨣⪵$2110$))↬($5092$∼$1011$⋷($1786$⊘))↺(↽≂(↥$8754$)⪛($4661$⊭∹↮))","expression":"(∃⊬540∼∃⊬16AE⪨≂(⇁⨣⪵∃⊬83E))↬(∃⊬13E4∼∃⊬3F3⋷(∃⊬6FA⊘))↺(↽≂(↥∃⊬2232)⪛(∃⊬1235⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":343,"operation_count":12,"complexity_ratio":28.583333333333332,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1344,"base":16},"right_expr":{"type":"numeric_atoms","value":5806,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2110,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5092,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1786,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8754,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4661,"base":16}}}}},"used_operators":["7j4O788W3g","B5M0gjZbta","sdazOOVcIp","DyGG3AbaNP","inkyxCbjAn","23Mk6UjR3U","gu96TGCTMs","u6S6b8DprG","uFcxV4UQCh","A8NUZmVepG","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-42","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=5806, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2110","layer":4},{"info":"compute unary expreesion, input=2110, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=5092","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=5092, right_input=1011, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=8754","layer":4},{"info":"compute unary expreesion, input=8754, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":3},{"info":"number node, value=4661","layer":4},{"info":"compute unary expreesion, input=4661, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9322","layer":3},{"info":"compute binary expreesion, left_input=33, right_input=9322, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=33","layer":2},{"info":"compute unary expreesion, input=33, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-66","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-66, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-66","layer":0}],"base":16,"result_base":16,"text":"(∃⊬540∼∃⊬16AE⪨≂(⇁⨣⪵∃⊬83E))↬(∃⊬13E4∼∃⊬3F3⋷(∃⊬6FA⊘))↺(↽≂(↥∃⊬2232)⪛(∃⊬1235⊭∹↮))=∃⊬-42","reverse_text":"∃⊬-42=(∃⊬540∼∃⊬16AE⪨≂(⇁⨣⪵∃⊬83E))↬(∃⊬13E4∼∃⊬3F3⋷(∃⊬6FA⊘))↺(↽≂(↥∃⊬2232)⪛(∃⊬1235⊭∹↮))","cot":[{"info":"∃⊬540∼∃⊬16AE=NaN","layer":3},{"info":"⇁⨣⪵∃⊬83E=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"∃⊬13E4∼∃⊬3F3=NaN","layer":3},{"info":"∃⊬6FA⊘=∃⊬0","layer":3},{"info":"NaN⋷∃⊬0=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"↥∃⊬2232=∃⊬21","layer":3},{"info":"∃⊬1235⊭∹↮=∃⊬246A","layer":3},{"info":"∃⊬21⪛∃⊬246A=∃⊬21","layer":2},{"info":"↽≂∃⊬21=∃⊬-42","layer":1},{"info":"NaN↺∃⊬-42=∃⊬-42","layer":0}]}
{"id":52,"expression_no_base_symbol":"≤/(($7555$⪨≂$1260$)⨐⩸⫘$2192$⫥∨⫟$5687$∲⫓($3359$⨪↰⇹$6212$/$1362$⋥≓≎$2451$))","expression":"≤/((∃⊬1D83⪨≂∃⊬4EC)⨐⩸⫘∃⊬890⫥∨⫟∃⊬1637∲⫓(∃⊬D1F⨪↰⇹∃⊬1844/∃⊬552⋥≓≎∃⊬993))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3526,"operation_count":8,"complexity_ratio":440.75,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7555,"base":16},"right_expr":{"type":"numeric_atoms","value":1260,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2192,"base":16},"right_expr":{"type":"numeric_atoms","value":5687,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3359,"base":16},"right_expr":{"type":"numeric_atoms","value":6212,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1362,"base":16},"right_expr":{"type":"numeric_atoms","value":2451,"base":16}}}}},"used_operators":["eLAdDNolq6","i8ToyICDmI","fu6greOZ01","sdazOOVcIp","KYD54nUTWz","XhwjNDsVaA","tmPS8pqC7x","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7555","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=7555, right_input=1260, 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=12692","layer":3},{"info":"number node, value=2192","layer":4},{"info":"number node, value=5687","layer":4},{"info":"compute binary expreesion, left_input=2192, right_input=5687, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12692, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3359","layer":4},{"info":"number node, value=6212","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=6212, 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=3359","layer":3},{"info":"number node, value=1362","layer":4},{"info":"number node, value=2451","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=2451, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3573","layer":3},{"info":"compute binary expreesion, left_input=3359, right_input=3573, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"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":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":"≤/((∃⊬1D83⪨≂∃⊬4EC)⨐⩸⫘∃⊬890⫥∨⫟∃⊬1637∲⫓(∃⊬D1F⨪↰⇹∃⊬1844/∃⊬552⋥≓≎∃⊬993))=NaN","reverse_text":"NaN=≤/((∃⊬1D83⪨≂∃⊬4EC)⨐⩸⫘∃⊬890⫥∨⫟∃⊬1637∲⫓(∃⊬D1F⨪↰⇹∃⊬1844/∃⊬552⋥≓≎∃⊬993))","cot":[{"info":"∃⊬1D83⪨≂∃⊬4EC=∃⊬3194","layer":3},{"info":"∃⊬890⫥∨⫟∃⊬1637=NaN","layer":3},{"info":"∃⊬3194⨐⩸⫘NaN=NaN","layer":2},{"info":"∃⊬D1F⨪↰⇹∃⊬1844=∃⊬D1F","layer":3},{"info":"∃⊬552⋥≓≎∃⊬993=∃⊬DF5","layer":3},{"info":"∃⊬D1F/∃⊬DF5=∃⊬0","layer":2},{"info":"NaN∲⫓∃⊬0=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":53,"expression_no_base_symbol":"($1001$⨓$2501$⋓($2610$⋝⋈⪟$3575$)∲⫓(⨞⊢$5507$⩚⊴⇥$7554$))⋥≓≎($1919$⋝⋈⪟$2723$⩷∴(↔$2639$)⨸⪁($6466$⨸⪁$1037$⊭↱(⇁⨣⪵$4002$)))","expression":"(∃⊬3E9⨓∃⊬9C5⋓(∃⊬A32⋝⋈⪟∃⊬DF7)∲⫓(⨞⊢∃⊬1583⩚⊴⇥∃⊬1D82))⋥≓≎(∃⊬77F⋝⋈⪟∃⊬AA3⩷∴(↔∃⊬A4F)⨸⪁(∃⊬1942⨸⪁∃⊬40D⊭↱(⇁⨣⪵∃⊬FA2)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2563,"operation_count":14,"complexity_ratio":183.07142857142858,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1001,"base":16},"right_expr":{"type":"numeric_atoms","value":2501,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2610,"base":16},"right_expr":{"type":"numeric_atoms","value":3575,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5507,"base":16},"right_expr":{"type":"numeric_atoms","value":7554,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1919,"base":16},"right_expr":{"type":"numeric_atoms","value":2723,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2639,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6466,"base":16},"right_expr":{"type":"numeric_atoms","value":1037,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4002,"base":16}}}}},"used_operators":["Qy55tPpLXF","i8ToyICDmI","T2fj7uvVaJ","3ViojmjbAp","2DDjHMKMc0","xUOZtlo3hN","NTOWxs364D","g55IO6H4Gj","9FxExcQeMw","ruOEQAzv1W","COABgblf1C","inkyxCbjAn"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=2501, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2504","layer":3},{"info":"number node, value=2610","layer":4},{"info":"number node, value=3575","layer":4},{"info":"compute binary expreesion, left_input=2610, right_input=3575, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2610","layer":3},{"info":"compute binary expreesion, left_input=-2504, right_input=2610, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5507","layer":4},{"info":"number node, value=7554","layer":4},{"info":"compute binary expreesion, left_input=5507, right_input=7554, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13182","layer":3},{"info":"compute unary expreesion, input=-13182, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=13008","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=13008, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1919","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=1919, right_input=2723, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1919","layer":3},{"info":"number node, value=2639","layer":4},{"info":"compute unary expreesion, input=2639, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2366","layer":3},{"info":"compute binary expreesion, left_input=1919, right_input=-2366, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8538","layer":2},{"info":"number node, value=6466","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=6466, right_input=1037, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15006","layer":3},{"info":"number node, value=4002","layer":4},{"info":"compute unary expreesion, input=4002, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15006, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8538, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(∃⊬3E9⨓∃⊬9C5⋓(∃⊬A32⋝⋈⪟∃⊬DF7)∲⫓(⨞⊢∃⊬1583⩚⊴⇥∃⊬1D82))⋥≓≎(∃⊬77F⋝⋈⪟∃⊬AA3⩷∴(↔∃⊬A4F)⨸⪁(∃⊬1942⨸⪁∃⊬40D⊭↱(⇁⨣⪵∃⊬FA2)))=NaN","reverse_text":"NaN=(∃⊬3E9⨓∃⊬9C5⋓(∃⊬A32⋝⋈⪟∃⊬DF7)∲⫓(⨞⊢∃⊬1583⩚⊴⇥∃⊬1D82))⋥≓≎(∃⊬77F⋝⋈⪟∃⊬AA3⩷∴(↔∃⊬A4F)⨸⪁(∃⊬1942⨸⪁∃⊬40D⊭↱(⇁⨣⪵∃⊬FA2)))","cot":[{"info":"∃⊬3E9⨓∃⊬9C5=∃⊬-9C8","layer":3},{"info":"∃⊬A32⋝⋈⪟∃⊬DF7=∃⊬A32","layer":3},{"info":"∃⊬-9C8⋓∃⊬A32=∃⊬0","layer":2},{"info":"∃⊬1583⩚⊴⇥∃⊬1D82=∃⊬-337E","layer":3},{"info":"⨞⊢∃⊬-337E=∃⊬32D0","layer":2},{"info":"∃⊬0∲⫓∃⊬32D0=∃⊬0","layer":1},{"info":"∃⊬77F⋝⋈⪟∃⊬AA3=∃⊬77F","layer":3},{"info":"↔∃⊬A4F=∃⊬-93E","layer":3},{"info":"∃⊬77F⩷∴∃⊬-93E=∃⊬215A","layer":2},{"info":"∃⊬1942⨸⪁∃⊬40D=∃⊬3A9E","layer":3},{"info":"⇁⨣⪵∃⊬FA2=NaN","layer":3},{"info":"∃⊬3A9E⊭↱NaN=NaN","layer":2},{"info":"∃⊬215A⨸⪁NaN=NaN","layer":1},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":0}]}
{"id":54,"expression_no_base_symbol":"(($1964$∲⫓$5574$)⫩⊇)⨟⋌⩍(($4206$%$1089$)⫥∨⫟(⨵≀≌$3352$))⨎(↥($2078$↬$1127$⪄(↔$2827$)))","expression":"((∃⊬7AC∲⫓∃⊬15C6)⫩⊇)⨟⋌⩍((∃⊬106E%∃⊬441)⫥∨⫟(⨵≀≌∃⊬D18))⨎(↥(∃⊬81E↬∃⊬467⪄(↔∃⊬B0B)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":273,"operation_count":11,"complexity_ratio":24.818181818181817,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1964,"base":16},"right_expr":{"type":"numeric_atoms","value":5574,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4206,"base":16},"right_expr":{"type":"numeric_atoms","value":1089,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3352,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2078,"base":16},"right_expr":{"type":"numeric_atoms","value":1127,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2827,"base":16}}}}},"used_operators":["rJVOvQCfKK","rGHVDoGpnC","BjRHVeLaeN","i8ToyICDmI","KYD54nUTWz","k8jYdgA6NY","srAu1WTS94","A8NUZmVepG","SUmda5xLS4","B5M0gjZbta","ruOEQAzv1W"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1964","layer":4},{"info":"number node, value=5574","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=5574, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":2},{"info":"number node, value=4206","layer":4},{"info":"number node, value=1089","layer":4},{"info":"compute binary expreesion, left_input=4206, right_input=1089, op_id = k8jYdgA6NY binary_op_definition= 'None', output=939","layer":3},{"info":"number node, value=3352","layer":4},{"info":"compute unary expreesion, input=3352, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10056","layer":3},{"info":"compute binary expreesion, left_input=939, right_input=-10056, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=42, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2078","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=2078, right_input=1127, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2827","layer":4},{"info":"compute unary expreesion, input=2827, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2554, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1","layer":0}],"base":16,"result_base":16,"text":"((∃⊬7AC∲⫓∃⊬15C6)⫩⊇)⨟⋌⩍((∃⊬106E%∃⊬441)⫥∨⫟(⨵≀≌∃⊬D18))⨎(↥(∃⊬81E↬∃⊬467⪄(↔∃⊬B0B)))=∃⊬1","reverse_text":"∃⊬1=((∃⊬7AC∲⫓∃⊬15C6)⫩⊇)⨟⋌⩍((∃⊬106E%∃⊬441)⫥∨⫟(⨵≀≌∃⊬D18))⨎(↥(∃⊬81E↬∃⊬467⪄(↔∃⊬B0B)))","cot":[{"info":"∃⊬7AC∲⫓∃⊬15C6=∃⊬0","layer":3},{"info":"∃⊬0⫩⊇=∃⊬2A","layer":2},{"info":"∃⊬106E%∃⊬441=∃⊬3AB","layer":3},{"info":"⨵≀≌∃⊬D18=∃⊬-2748","layer":3},{"info":"∃⊬3AB⫥∨⫟∃⊬-2748=NaN","layer":2},{"info":"∃⊬2A⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬81E↬∃⊬467=NaN","layer":3},{"info":"↔∃⊬B0B=∃⊬-9FA","layer":3},{"info":"NaN⪄∃⊬-9FA=∃⊬F8B","layer":2},{"info":"↥∃⊬F8B=∃⊬1","layer":1},{"info":"NaN⨎∃⊬1=∃⊬1","layer":0}]}
{"id":55,"expression_no_base_symbol":"⊥($2395$⩚⊴⇥$5656$↙$2084$∑⇟⊟$2187$/$6295$⊴$3514$≎⊠⪸(⪲⇎$1541$))","expression":"⊥(∃⊬95B⩚⊴⇥∃⊬1618↙∃⊬824∑⇟⊟∃⊬88B/∃⊬1897⊴∃⊬DBA≎⊠⪸(⪲⇎∃⊬605))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13227,"operation_count":8,"complexity_ratio":1653.375,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2395,"base":16},"right_expr":{"type":"numeric_atoms","value":5656,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2084,"base":16},"right_expr":{"type":"numeric_atoms","value":2187,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6295,"base":16},"right_expr":{"type":"numeric_atoms","value":3514,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1541,"base":16}}}}},"used_operators":["Q3PJZHRvZv","XhwjNDsVaA","yyfyN0ffXY","NTOWxs364D","U7g4x0WXJJ","bJkvcejdHO","Nsiff2A1zJ","XPYlsWDdGa"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2395","layer":4},{"info":"number node, value=5656","layer":4},{"info":"compute binary expreesion, left_input=2395, right_input=5656, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8172","layer":3},{"info":"number node, value=2084","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=2187, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8172, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8172","layer":2},{"info":"number node, value=6295","layer":4},{"info":"number node, value=3514","layer":4},{"info":"compute binary expreesion, left_input=6295, right_input=3514, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1541","layer":4},{"info":"compute unary expreesion, input=1541, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3082","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3082, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8172, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"⊥(∃⊬95B⩚⊴⇥∃⊬1618↙∃⊬824∑⇟⊟∃⊬88B/∃⊬1897⊴∃⊬DBA≎⊠⪸(⪲⇎∃⊬605))=NaN","reverse_text":"NaN=⊥(∃⊬95B⩚⊴⇥∃⊬1618↙∃⊬824∑⇟⊟∃⊬88B/∃⊬1897⊴∃⊬DBA≎⊠⪸(⪲⇎∃⊬605))","cot":[{"info":"∃⊬95B⩚⊴⇥∃⊬1618=∃⊬-1FEC","layer":3},{"info":"∃⊬824∑⇟⊟∃⊬88B=NaN","layer":3},{"info":"∃⊬-1FEC↙NaN=∃⊬-1FEC","layer":2},{"info":"∃⊬1897⊴∃⊬DBA=NaN","layer":3},{"info":"⪲⇎∃⊬605=∃⊬C0A","layer":3},{"info":"NaN≎⊠⪸∃⊬C0A=NaN","layer":2},{"info":"∃⊬-1FEC/NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":56,"expression_no_base_symbol":"≤/(($4333$⪒$4649$)⪛(⊥$5155$)∲⫓($3407$⪛$1398$/$2291$≭$1398$))","expression":"≤/((∃⊬10ED⪒∃⊬1229)⪛(⊥∃⊬1423)∲⫓(∃⊬D4F⪛∃⊬576/∃⊬8F3≭∃⊬576))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":18,"operation_count":8,"complexity_ratio":2.25,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4333,"base":16},"right_expr":{"type":"numeric_atoms","value":4649,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5155,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3407,"base":16},"right_expr":{"type":"numeric_atoms","value":1398,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2291,"base":16},"right_expr":{"type":"numeric_atoms","value":1398,"base":16}}}}},"used_operators":["eLAdDNolq6","i8ToyICDmI","uFcxV4UQCh","f6k1SAg4EE","Q3PJZHRvZv","XhwjNDsVaA","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4333","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=4649, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8982","layer":3},{"info":"number node, value=5155","layer":4},{"info":"compute unary expreesion, input=5155, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8982, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3407","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=3407, right_input=1398, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=611","layer":3},{"info":"number node, value=2291","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1398, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=611, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+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":"≤/((∃⊬10ED⪒∃⊬1229)⪛(⊥∃⊬1423)∲⫓(∃⊬D4F⪛∃⊬576/∃⊬8F3≭∃⊬576))=NaN","reverse_text":"NaN=≤/((∃⊬10ED⪒∃⊬1229)⪛(⊥∃⊬1423)∲⫓(∃⊬D4F⪛∃⊬576/∃⊬8F3≭∃⊬576))","cot":[{"info":"∃⊬10ED⪒∃⊬1229=∃⊬-2316","layer":3},{"info":"⊥∃⊬1423=NaN","layer":3},{"info":"∃⊬-2316⪛NaN=NaN","layer":2},{"info":"∃⊬D4F⪛∃⊬576=∃⊬263","layer":3},{"info":"∃⊬8F3≭∃⊬576=NaN","layer":3},{"info":"∃⊬263/NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":57,"expression_no_base_symbol":"(($4616$⊭↱$3183$⫡⨏$2016$⪄$1593$)⫥∨⫟((⨞⊢$1370$)%($2710$≣⋋)))∼((⪲⇎(⫛⫱⨽$4939$))⩚⊴⇥($1240$⋥≓≎$3220$↺$1504$⪢$1854$))","expression":"((∃⊬1208⊭↱∃⊬C6F⫡⨏∃⊬7E0⪄∃⊬639)⫥∨⫟((⨞⊢∃⊬55A)%(∃⊬A96≣⋋)))∼((⪲⇎(⫛⫱⨽∃⊬134B))⩚⊴⇥(∃⊬4D8⋥≓≎∃⊬C94↺∃⊬5E0⪢∃⊬73E))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":4069,"operation_count":14,"complexity_ratio":290.64285714285717,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4616,"base":16},"right_expr":{"type":"numeric_atoms","value":3183,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2016,"base":16},"right_expr":{"type":"numeric_atoms","value":1593,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1370,"base":16}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2710,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4939,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1240,"base":16},"right_expr":{"type":"numeric_atoms","value":3220,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1504,"base":16},"right_expr":{"type":"numeric_atoms","value":1854,"base":16}}}}},"used_operators":["DyGG3AbaNP","KYD54nUTWz","QMFrweE19q","COABgblf1C","SUmda5xLS4","k8jYdgA6NY","xUOZtlo3hN","Tcnh7f0tEr","NTOWxs364D","XPYlsWDdGa","DlLNRPXxWL","7j4O788W3g","Qy55tPpLXF","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4616","layer":4},{"info":"number node, value=3183","layer":4},{"info":"compute binary expreesion, left_input=4616, right_input=3183, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2861","layer":3},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1593","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1593, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-300829","layer":3},{"info":"compute binary expreesion, left_input=-2861, right_input=-300829, 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=-615180","layer":2},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1544","layer":3},{"info":"number node, value=2710","layer":4},{"info":"compute unary expreesion, input=2710, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1544, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-615180, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4939","layer":4},{"info":"compute unary expreesion, input=4939, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"number node, value=1240","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=3220, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5233","layer":3},{"info":"number node, value=1504","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=1854, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5233, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"((∃⊬1208⊭↱∃⊬C6F⫡⨏∃⊬7E0⪄∃⊬639)⫥∨⫟((⨞⊢∃⊬55A)%(∃⊬A96≣⋋)))∼((⪲⇎(⫛⫱⨽∃⊬134B))⩚⊴⇥(∃⊬4D8⋥≓≎∃⊬C94↺∃⊬5E0⪢∃⊬73E))=NaN","reverse_text":"NaN=((∃⊬1208⊭↱∃⊬C6F⫡⨏∃⊬7E0⪄∃⊬639)⫥∨⫟((⨞⊢∃⊬55A)%(∃⊬A96≣⋋)))∼((⪲⇎(⫛⫱⨽∃⊬134B))⩚⊴⇥(∃⊬4D8⋥≓≎∃⊬C94↺∃⊬5E0⪢∃⊬73E))","cot":[{"info":"∃⊬1208⊭↱∃⊬C6F=∃⊬-B2D","layer":3},{"info":"∃⊬7E0⪄∃⊬639=∃⊬-4971D","layer":3},{"info":"∃⊬-B2D⫡⨏∃⊬-4971D=∃⊬-9630C","layer":2},{"info":"⨞⊢∃⊬55A=∃⊬-608","layer":3},{"info":"∃⊬A96≣⋋=∃⊬0","layer":3},{"info":"∃⊬-608%∃⊬0=NaN","layer":2},{"info":"∃⊬-9630C⫥∨⫟NaN=NaN","layer":1},{"info":"⫛⫱⨽∃⊬134B=∃⊬0","layer":3},{"info":"⪲⇎∃⊬0=∃⊬0","layer":2},{"info":"∃⊬4D8⋥≓≎∃⊬C94=∃⊬1471","layer":3},{"info":"∃⊬5E0⪢∃⊬73E=NaN","layer":3},{"info":"∃⊬1471↺NaN=NaN","layer":2},{"info":"∃⊬0⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":58,"expression_no_base_symbol":"(⇁⨣⪵$6137$≹⇙⪍$2799$)⨽($1057$↙$1399$)⪮%⊝(↽≂$3374$)⨵⪆($3266$⊭↱$1960$)+⇶⊼(⇁⨣⪵$3459$)≎⊠⪸((↽≂$1205$)⫸⊐$1495$⪢$4468$)","expression":"(⇁⨣⪵∃⊬17F9≹⇙⪍∃⊬AEF)⨽(∃⊬421↙∃⊬577)⪮%⊝(↽≂∃⊬D2E)⨵⪆(∃⊬CC2⊭↱∃⊬7A8)+⇶⊼(⇁⨣⪵∃⊬D83)≎⊠⪸((↽≂∃⊬4B5)⫸⊐∃⊬5D7⪢∃⊬1174)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5922,"operation_count":14,"complexity_ratio":423.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6137,"base":16},"right_expr":{"type":"numeric_atoms","value":2799,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1057,"base":16},"right_expr":{"type":"numeric_atoms","value":1399,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3374,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3266,"base":16},"right_expr":{"type":"numeric_atoms","value":1960,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3459,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1205,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1495,"base":16},"right_expr":{"type":"numeric_atoms","value":4468,"base":16}}}}},"used_operators":["2DQ55sFlQl","8HhzD0ZcuI","inkyxCbjAn","AHs5Up7iyr","IWmyXbctLI","yyfyN0ffXY","u6S6b8DprG","bJkvcejdHO","TpPTUOHfaN","COABgblf1C","mqXw5SEYmG","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","dWAJyo7jo9","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6137","layer":4},{"info":"number node, value=2799","layer":4},{"info":"compute binary expreesion, left_input=6137, right_input=2799, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1399","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1399, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4197","layer":3},{"info":"number node, value=3374","layer":4},{"info":"compute unary expreesion, input=3374, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-6748","layer":3},{"info":"compute binary expreesion, left_input=-4197, right_input=-6748, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-8078","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8078, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=3266","layer":4},{"info":"number node, value=1960","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=1960, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2607","layer":3},{"info":"number node, value=3459","layer":4},{"info":"compute unary expreesion, input=3459, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2607, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1205","layer":4},{"info":"compute unary expreesion, input=1205, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2410","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=4468","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=4468, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2410, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⇁⨣⪵∃⊬17F9≹⇙⪍∃⊬AEF)⨽(∃⊬421↙∃⊬577)⪮%⊝(↽≂∃⊬D2E)⨵⪆(∃⊬CC2⊭↱∃⊬7A8)+⇶⊼(⇁⨣⪵∃⊬D83)≎⊠⪸((↽≂∃⊬4B5)⫸⊐∃⊬5D7⪢∃⊬1174)=∃⊬A0","reverse_text":"∃⊬A0=(⇁⨣⪵∃⊬17F9≹⇙⪍∃⊬AEF)⨽(∃⊬421↙∃⊬577)⪮%⊝(↽≂∃⊬D2E)⨵⪆(∃⊬CC2⊭↱∃⊬7A8)+⇶⊼(⇁⨣⪵∃⊬D83)≎⊠⪸((↽≂∃⊬4B5)⫸⊐∃⊬5D7⪢∃⊬1174)","cot":[{"info":"∃⊬17F9≹⇙⪍∃⊬AEF=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"∃⊬421↙∃⊬577=∃⊬-1065","layer":3},{"info":"↽≂∃⊬D2E=∃⊬-1A5C","layer":3},{"info":"∃⊬-1065⪮%⊝∃⊬-1A5C=∃⊬-1F8E","layer":2},{"info":"NaN⨽∃⊬-1F8E=NaN","layer":1},{"info":"∃⊬CC2⊭↱∃⊬7A8=∃⊬-A2F","layer":3},{"info":"⇁⨣⪵∃⊬D83=NaN","layer":3},{"info":"∃⊬-A2F+⇶⊼NaN=NaN","layer":2},{"info":"↽≂∃⊬4B5=∃⊬-96A","layer":3},{"info":"∃⊬5D7⪢∃⊬1174=NaN","layer":3},{"info":"∃⊬-96A⫸⊐NaN=∃⊬3C8","layer":2},{"info":"NaN≎⊠⪸∃⊬3C8=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":59,"expression_no_base_symbol":"↣≠⋷(⫓⪴($2739$⊭↱$8429$*$4967$⋝⋈⪟$2172$))","expression":"↣≠⋷(⫓⪴(∃⊬AB3⊭↱∃⊬20ED*∃⊬1367⋝⋈⪟∃⊬87C))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":56554274,"operation_count":5,"complexity_ratio":11310854.8,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2739,"base":16},"right_expr":{"type":"numeric_atoms","value":8429,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4967,"base":16},"right_expr":{"type":"numeric_atoms","value":2172,"base":16}}}}},"used_operators":["Asc51vEJeQ","eLxqMNBOBk","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2739","layer":4},{"info":"number node, value=8429","layer":4},{"info":"compute binary expreesion, left_input=2739, right_input=8429, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11385","layer":3},{"info":"number node, value=4967","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=4967, right_input=2172, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4967","layer":3},{"info":"compute binary expreesion, left_input=11385, right_input=4967, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=56549295","layer":2},{"info":"compute unary expreesion, input=56549295, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷(⫓⪴(∃⊬AB3⊭↱∃⊬20ED*∃⊬1367⋝⋈⪟∃⊬87C))=NaN","reverse_text":"NaN=↣≠⋷(⫓⪴(∃⊬AB3⊭↱∃⊬20ED*∃⊬1367⋝⋈⪟∃⊬87C))","cot":[{"info":"∃⊬AB3⊭↱∃⊬20ED=∃⊬2C79","layer":3},{"info":"∃⊬1367⋝⋈⪟∃⊬87C=∃⊬1367","layer":3},{"info":"∃⊬2C79*∃⊬1367=∃⊬35EDFAF","layer":2},{"info":"⫓⪴∃⊬35EDFAF=Inf","layer":1},{"info":"↣≠⋷Inf=NaN","layer":0}]}
{"id":60,"expression_no_base_symbol":"((⨰⫟⨤($1399$⪠⩆⊳))≦≮≮)≧⫂∧((⨵≀≌(↩$3695$))⪨≂(⨑⩽⪐$1311$⫥∨⫟$1305$))","expression":"((⨰⫟⨤(∃⊬577⪠⩆⊳))≦≮≮)≧⫂∧((⨵≀≌(↩∃⊬E6F))⪨≂(⨑⩽⪐∃⊬51F⫥∨⫟∃⊬519))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27871,"operation_count":9,"complexity_ratio":3096.777777777778,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1399,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3695,"base":16}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1311,"base":16},"right_expr":{"type":"numeric_atoms","value":1305,"base":16}}}}},"used_operators":["Ph9nP6C5qx","D4vGDi5EA2","Tw270M8GLb","JLbD19bQDL","sdazOOVcIp","srAu1WTS94","jLgFTUHLKL","AF7qkfDlqP","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1399","layer":4},{"info":"compute unary expreesion, input=1399, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute unary expreesion, input=4492662, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-13477986","layer":1},{"info":"number node, value=3695","layer":4},{"info":"compute unary expreesion, input=3695, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-26780","layer":3},{"info":"compute unary expreesion, input=-26780, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=717168400","layer":2},{"info":"number node, value=1311","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=1305, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=717168400, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13477986, 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":"((⨰⫟⨤(∃⊬577⪠⩆⊳))≦≮≮)≧⫂∧((⨵≀≌(↩∃⊬E6F))⪨≂(⨑⩽⪐∃⊬51F⫥∨⫟∃⊬519))=NaN","reverse_text":"NaN=((⨰⫟⨤(∃⊬577⪠⩆⊳))≦≮≮)≧⫂∧((⨵≀≌(↩∃⊬E6F))⪨≂(⨑⩽⪐∃⊬51F⫥∨⫟∃⊬519))","cot":[{"info":"∃⊬577⪠⩆⊳=∃⊬0","layer":3},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":2},{"info":"∃⊬448D76≦≮≮=∃⊬-CDA862","layer":1},{"info":"↩∃⊬E6F=∃⊬-689C","layer":3},{"info":"⨵≀≌∃⊬-689C=∃⊬2ABF1F10","layer":2},{"info":"∃⊬51F⫥∨⫟∃⊬519=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"∃⊬2ABF1F10⪨≂NaN=NaN","layer":1},{"info":"∃⊬-CDA862≧⫂∧NaN=NaN","layer":0}]}
{"id":61,"expression_no_base_symbol":"($4800$⨓$5714$≎⊠⪸($2391$*$1728$)∲⫓($1663$∀⇚≩$2696$/$9208$∲⫓$1175$))≹⇙⪍((($2936$⩨$6976$)⋥≓≎($1590$⊉≛↸$8483$))⋓($2139$⋓$3867$+⇶⊼($1896$⊦⊿)))","expression":"(∃⊬12C0⨓∃⊬1652≎⊠⪸(∃⊬957*∃⊬6C0)∲⫓(∃⊬67F∀⇚≩∃⊬A88/∃⊬23F8∲⫓∃⊬497))≹⇙⪍(((∃⊬B78⩨∃⊬1B40)⋥≓≎(∃⊬636⊉≛↸∃⊬2123))⋓(∃⊬85B⋓∃⊬F1B+⇶⊼(∃⊬768⊦⊿)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19410,"operation_count":15,"complexity_ratio":1294.0,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4800,"base":16},"right_expr":{"type":"numeric_atoms","value":5714,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2391,"base":16},"right_expr":{"type":"numeric_atoms","value":1728,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1663,"base":16},"right_expr":{"type":"numeric_atoms","value":2696,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9208,"base":16},"right_expr":{"type":"numeric_atoms","value":1175,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2936,"base":16},"right_expr":{"type":"numeric_atoms","value":6976,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1590,"base":16},"right_expr":{"type":"numeric_atoms","value":8483,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2139,"base":16},"right_expr":{"type":"numeric_atoms","value":3867,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1896,"base":16}}}}},"used_operators":["AHs5Up7iyr","i8ToyICDmI","bJkvcejdHO","3ViojmjbAp","9HNa5Wba9A","XhwjNDsVaA","LRNGc0VcxI","T2fj7uvVaJ","Qy55tPpLXF","2DlMacCsIx","DZ8iAZOCBD","TpPTUOHfaN","14qkJME0vr"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4800","layer":4},{"info":"number node, value=5714","layer":4},{"info":"compute binary expreesion, left_input=4800, right_input=5714, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5717","layer":3},{"info":"number node, value=2391","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=2391, right_input=1728, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4131648","layer":3},{"info":"compute binary expreesion, left_input=-5717, right_input=4131648, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1480703","layer":2},{"info":"number node, value=1663","layer":4},{"info":"number node, value=2696","layer":4},{"info":"compute binary expreesion, left_input=1663, right_input=2696, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=9208","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=9208, right_input=1175, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1480703, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2936","layer":4},{"info":"number node, value=6976","layer":4},{"info":"compute binary expreesion, left_input=2936, right_input=6976, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1590","layer":4},{"info":"number node, value=8483","layer":4},{"info":"compute binary expreesion, left_input=1590, right_input=8483, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3180","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=3180, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6399","layer":2},{"info":"number node, value=2139","layer":4},{"info":"number node, value=3867","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=3867, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1896","layer":4},{"info":"compute unary expreesion, input=1896, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5767","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-5767, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6399, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute 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":"(∃⊬12C0⨓∃⊬1652≎⊠⪸(∃⊬957*∃⊬6C0)∲⫓(∃⊬67F∀⇚≩∃⊬A88/∃⊬23F8∲⫓∃⊬497))≹⇙⪍(((∃⊬B78⩨∃⊬1B40)⋥≓≎(∃⊬636⊉≛↸∃⊬2123))⋓(∃⊬85B⋓∃⊬F1B+⇶⊼(∃⊬768⊦⊿)))=NaN","reverse_text":"NaN=(∃⊬12C0⨓∃⊬1652≎⊠⪸(∃⊬957*∃⊬6C0)∲⫓(∃⊬67F∀⇚≩∃⊬A88/∃⊬23F8∲⫓∃⊬497))≹⇙⪍(((∃⊬B78⩨∃⊬1B40)⋥≓≎(∃⊬636⊉≛↸∃⊬2123))⋓(∃⊬85B⋓∃⊬F1B+⇶⊼(∃⊬768⊦⊿)))","cot":[{"info":"∃⊬12C0⨓∃⊬1652=∃⊬-1655","layer":3},{"info":"∃⊬957*∃⊬6C0=∃⊬3F0B40","layer":3},{"info":"∃⊬-1655≎⊠⪸∃⊬3F0B40=∃⊬1697FF","layer":2},{"info":"∃⊬67F∀⇚≩∃⊬A88=NaN","layer":3},{"info":"∃⊬23F8∲⫓∃⊬497=∃⊬0","layer":3},{"info":"NaN/∃⊬0=NaN","layer":2},{"info":"∃⊬1697FF∲⫓NaN=NaN","layer":1},{"info":"∃⊬B78⩨∃⊬1B40=∃⊬-6","layer":3},{"info":"∃⊬636⊉≛↸∃⊬2123=∃⊬C6C","layer":3},{"info":"∃⊬-6⋥≓≎∃⊬C6C=∃⊬18FF","layer":2},{"info":"∃⊬85B⋓∃⊬F1B=∃⊬0","layer":3},{"info":"∃⊬768⊦⊿=∃⊬-1687","layer":3},{"info":"∃⊬0+⇶⊼∃⊬-1687=NaN","layer":2},{"info":"∃⊬18FF⋓NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":62,"expression_no_base_symbol":"≤/(($1688$⨳⩥⨓$3104$∲⫓$5243$⪮%⊝$1004$)*(($2783$⋷$2441$)*$1114$⨐⩸⫘$6847$))","expression":"≤/((∃⊬698⨳⩥⨓∃⊬C20∲⫓∃⊬147B⪮%⊝∃⊬3EC)*((∃⊬ADF⋷∃⊬989)*∃⊬45A⨐⩸⫘∃⊬1ABF))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21,"operation_count":8,"complexity_ratio":2.625,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1688,"base":16},"right_expr":{"type":"numeric_atoms","value":3104,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5243,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2783,"base":16},"right_expr":{"type":"numeric_atoms","value":2441,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1114,"base":16},"right_expr":{"type":"numeric_atoms","value":6847,"base":16}}}}},"used_operators":["eLAdDNolq6","9HNa5Wba9A","i8ToyICDmI","nCS4ZIUYfx","IWmyXbctLI","23Mk6UjR3U","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1688","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=3104, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1416","layer":3},{"info":"number node, value=5243","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5243, right_input=1004, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10802","layer":3},{"info":"compute binary expreesion, left_input=1416, right_input=10802, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2783","layer":4},{"info":"number node, value=2441","layer":4},{"info":"compute binary expreesion, left_input=2783, right_input=2441, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2099","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=6847","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=6847, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2099, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"≤/((∃⊬698⨳⩥⨓∃⊬C20∲⫓∃⊬147B⪮%⊝∃⊬3EC)*((∃⊬ADF⋷∃⊬989)*∃⊬45A⨐⩸⫘∃⊬1ABF))=NaN","reverse_text":"NaN=≤/((∃⊬698⨳⩥⨓∃⊬C20∲⫓∃⊬147B⪮%⊝∃⊬3EC)*((∃⊬ADF⋷∃⊬989)*∃⊬45A⨐⩸⫘∃⊬1ABF))","cot":[{"info":"∃⊬698⨳⩥⨓∃⊬C20=∃⊬588","layer":3},{"info":"∃⊬147B⪮%⊝∃⊬3EC=∃⊬2A32","layer":3},{"info":"∃⊬588∲⫓∃⊬2A32=∃⊬0","layer":2},{"info":"∃⊬ADF⋷∃⊬989=∃⊬833","layer":3},{"info":"∃⊬45A⨐⩸⫘∃⊬1ABF=NaN","layer":3},{"info":"∃⊬833*NaN=NaN","layer":2},{"info":"∃⊬0*NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":63,"expression_no_base_symbol":"(⫓⪴($1943$⋝⋈⪟$3984$))⋓($9186$⨐⩸⫘$4209$⊭↱($2257$+$2048$))⊭∹↮","expression":"(⫓⪴(∃⊬797⋝⋈⪟∃⊬F90))⋓(∃⊬23E2⨐⩸⫘∃⊬1071⊭↱(∃⊬8D1+∃⊬800))⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1973,"operation_count":7,"complexity_ratio":281.85714285714283,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1943,"base":16},"right_expr":{"type":"numeric_atoms","value":3984,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":9186,"base":16},"right_expr":{"type":"numeric_atoms","value":4209,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2257,"base":16},"right_expr":{"type":"numeric_atoms","value":2048,"base":16}}}}},"used_operators":["xNBdhnnwKq","T2fj7uvVaJ","eLxqMNBOBk","2DDjHMKMc0","COABgblf1C","fu6greOZ01","W4YGzv6Whe"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1943","layer":4},{"info":"number node, value=3984","layer":4},{"info":"compute binary expreesion, left_input=1943, right_input=3984, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1943","layer":3},{"info":"compute unary expreesion, input=1943, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3775249","layer":2},{"info":"number node, value=9186","layer":4},{"info":"number node, value=4209","layer":4},{"info":"compute binary expreesion, left_input=9186, right_input=4209, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2257","layer":4},{"info":"number node, value=2048","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=2048, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4305","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4305, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3775249, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴(∃⊬797⋝⋈⪟∃⊬F90))⋓(∃⊬23E2⨐⩸⫘∃⊬1071⊭↱(∃⊬8D1+∃⊬800))⊭∹↮=NaN","reverse_text":"NaN=(⫓⪴(∃⊬797⋝⋈⪟∃⊬F90))⋓(∃⊬23E2⨐⩸⫘∃⊬1071⊭↱(∃⊬8D1+∃⊬800))⊭∹↮","cot":[{"info":"∃⊬797⋝⋈⪟∃⊬F90=∃⊬797","layer":3},{"info":"⫓⪴∃⊬797=∃⊬399B11","layer":2},{"info":"∃⊬23E2⨐⩸⫘∃⊬1071=NaN","layer":3},{"info":"∃⊬8D1+∃⊬800=∃⊬10D1","layer":3},{"info":"NaN⊭↱∃⊬10D1=NaN","layer":2},{"info":"∃⊬399B11⋓NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":64,"expression_no_base_symbol":"($1078$⨓$5981$-$3748$⋝⋈⪟$5036$)⩚⊴⇥($1085$⫌⩹⨱)≹⇙⪍(⨵≀≌$4914$)↺(↣≠⋷(⨑⩽⪐($2293$⪒$1395$)))","expression":"(∃⊬436⨓∃⊬175D-∃⊬EA4⋝⋈⪟∃⊬13AC)⩚⊴⇥(∃⊬43D⫌⩹⨱)≹⇙⪍(⨵≀≌∃⊬1332)↺(↣≠⋷(⨑⩽⪐(∃⊬8F5⪒∃⊬573)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6020,"operation_count":11,"complexity_ratio":547.2727272727273,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1078,"base":16},"right_expr":{"type":"numeric_atoms","value":5981,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3748,"base":16},"right_expr":{"type":"numeric_atoms","value":5036,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1085,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4914,"base":16}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2293,"base":16},"right_expr":{"type":"numeric_atoms","value":1395,"base":16}}}}},"used_operators":["7j4O788W3g","NTOWxs364D","rysDP5nf3Z","3ViojmjbAp","2DDjHMKMc0","AHs5Up7iyr","EBcxylXtPf","srAu1WTS94","Asc51vEJeQ","AF7qkfDlqP","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1078","layer":4},{"info":"number node, value=5981","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=5981, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5984","layer":3},{"info":"number node, value=3748","layer":4},{"info":"number node, value=5036","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=5036, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3748","layer":3},{"info":"compute binary expreesion, left_input=-5984, right_input=3748, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-9732","layer":2},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3571","layer":3},{"info":"number node, value=4914","layer":4},{"info":"compute unary expreesion, input=4914, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14742","layer":3},{"info":"compute binary expreesion, left_input=3571, right_input=-14742, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9732, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=2293","layer":4},{"info":"number node, value=1395","layer":4},{"info":"compute binary expreesion, left_input=2293, right_input=1395, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3688","layer":3},{"info":"compute unary expreesion, input=-3688, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=8165","layer":2},{"info":"compute unary expreesion, input=8165, 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 = 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":"(∃⊬436⨓∃⊬175D-∃⊬EA4⋝⋈⪟∃⊬13AC)⩚⊴⇥(∃⊬43D⫌⩹⨱)≹⇙⪍(⨵≀≌∃⊬1332)↺(↣≠⋷(⨑⩽⪐(∃⊬8F5⪒∃⊬573)))=NaN","reverse_text":"NaN=(∃⊬436⨓∃⊬175D-∃⊬EA4⋝⋈⪟∃⊬13AC)⩚⊴⇥(∃⊬43D⫌⩹⨱)≹⇙⪍(⨵≀≌∃⊬1332)↺(↣≠⋷(⨑⩽⪐(∃⊬8F5⪒∃⊬573)))","cot":[{"info":"∃⊬436⨓∃⊬175D=∃⊬-1760","layer":3},{"info":"∃⊬EA4⋝⋈⪟∃⊬13AC=∃⊬EA4","layer":3},{"info":"∃⊬-1760-∃⊬EA4=∃⊬-2604","layer":2},{"info":"∃⊬43D⫌⩹⨱=∃⊬DF3","layer":3},{"info":"⨵≀≌∃⊬1332=∃⊬-3996","layer":3},{"info":"∃⊬DF3≹⇙⪍∃⊬-3996=NaN","layer":2},{"info":"∃⊬-2604⩚⊴⇥NaN=NaN","layer":1},{"info":"∃⊬8F5⪒∃⊬573=∃⊬-E68","layer":3},{"info":"⨑⩽⪐∃⊬-E68=∃⊬1FE5","layer":2},{"info":"↣≠⋷∃⊬1FE5=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":65,"expression_no_base_symbol":"((⫓⪴$7995$)+⇶⊼($1772$+$1047$)⇼⇔∾($3365$⋓$2175$-($2132$⨵⪆$7208$)))∀⇚≩(($3831$⊴$6986$≦≮≮)⊉≛↸(⋗⩬⋾$1117$⨰$1350$))","expression":"((⫓⪴∃⊬1F3B)+⇶⊼(∃⊬6EC+∃⊬417)⇼⇔∾(∃⊬D25⋓∃⊬87F-(∃⊬854⨵⪆∃⊬1C28)))∀⇚≩((∃⊬EF7⊴∃⊬1B4A≦≮≮)⊉≛↸(⋗⩬⋾∃⊬45D⨰∃⊬546))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15021,"operation_count":13,"complexity_ratio":1155.4615384615386,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":7995,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1772,"base":16},"right_expr":{"type":"numeric_atoms","value":1047,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3365,"base":16},"right_expr":{"type":"numeric_atoms","value":2175,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2132,"base":16},"right_expr":{"type":"numeric_atoms","value":7208,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3831,"base":16},"right_expr":{"type":"numeric_atoms","value":6986,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1117,"base":16},"right_expr":{"type":"numeric_atoms","value":1350,"base":16}}}}},"used_operators":["LRNGc0VcxI","tifHPKVTfV","TpPTUOHfaN","eLxqMNBOBk","W4YGzv6Whe","rysDP5nf3Z","T2fj7uvVaJ","2DQ55sFlQl","DZ8iAZOCBD","D4vGDi5EA2","Nsiff2A1zJ","DpFCA1CohY","eewbuw0ToL"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7995","layer":4},{"info":"compute unary expreesion, input=7995, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=63920025","layer":3},{"info":"number node, value=1772","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1772, right_input=1047, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2819","layer":3},{"info":"compute binary expreesion, left_input=63920025, right_input=2819, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3365","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=3365, right_input=2175, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2132","layer":4},{"info":"number node, value=7208","layer":4},{"info":"compute binary expreesion, left_input=2132, right_input=7208, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-160, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3831","layer":4},{"info":"number node, value=6986","layer":4},{"info":"compute binary expreesion, left_input=3831, right_input=6986, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1117","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1350, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-223","layer":3},{"info":"compute unary expreesion, input=-223, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=669","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=669, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((⫓⪴∃⊬1F3B)+⇶⊼(∃⊬6EC+∃⊬417)⇼⇔∾(∃⊬D25⋓∃⊬87F-(∃⊬854⨵⪆∃⊬1C28)))∀⇚≩((∃⊬EF7⊴∃⊬1B4A≦≮≮)⊉≛↸(⋗⩬⋾∃⊬45D⨰∃⊬546))=NaN","reverse_text":"NaN=((⫓⪴∃⊬1F3B)+⇶⊼(∃⊬6EC+∃⊬417)⇼⇔∾(∃⊬D25⋓∃⊬87F-(∃⊬854⨵⪆∃⊬1C28)))∀⇚≩((∃⊬EF7⊴∃⊬1B4A≦≮≮)⊉≛↸(⋗⩬⋾∃⊬45D⨰∃⊬546))","cot":[{"info":"⫓⪴∃⊬1F3B=∃⊬3CF5799","layer":3},{"info":"∃⊬6EC+∃⊬417=∃⊬B03","layer":3},{"info":"∃⊬3CF5799+⇶⊼∃⊬B03=NaN","layer":2},{"info":"∃⊬D25⋓∃⊬87F=∃⊬0","layer":3},{"info":"∃⊬854⨵⪆∃⊬1C28=∃⊬A0","layer":3},{"info":"∃⊬0-∃⊬A0=∃⊬-A0","layer":2},{"info":"NaN⇼⇔∾∃⊬-A0=NaN","layer":1},{"info":"∃⊬EF7⊴∃⊬1B4A=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"∃⊬45D⨰∃⊬546=∃⊬-DF","layer":3},{"info":"⋗⩬⋾∃⊬-DF=∃⊬29D","layer":2},{"info":"NaN⊉≛↸∃⊬29D=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":66,"expression_no_base_symbol":"($3384$∼$3035$+⇶⊼($1544$∲⫓$4356$)+⇶⊼(∥⊫$1044$⨐⩸⫘$2335$))⨓((⨑⩽⪐$1609$)≹⇙⪍($3603$⩷∴$6669$)+⇶⊼(⫓⪴$5461$⪘⫢$2673$))","expression":"(∃⊬D38∼∃⊬BDB+⇶⊼(∃⊬608∲⫓∃⊬1104)+⇶⊼(∥⊫∃⊬414⨐⩸⫘∃⊬91F))⨓((⨑⩽⪐∃⊬649)≹⇙⪍(∃⊬E13⩷∴∃⊬1A0D)+⇶⊼(⫓⪴∃⊬1555⪘⫢∃⊬A71))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10908,"operation_count":13,"complexity_ratio":839.0769230769231,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3384,"base":16},"right_expr":{"type":"numeric_atoms","value":3035,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1544,"base":16},"right_expr":{"type":"numeric_atoms","value":4356,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1044,"base":16},"right_expr":{"type":"numeric_atoms","value":2335,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1609,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3603,"base":16},"right_expr":{"type":"numeric_atoms","value":6669,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5461,"base":16},"right_expr":{"type":"numeric_atoms","value":2673,"base":16}}}}},"used_operators":["3ViojmjbAp","TpPTUOHfaN","DyGG3AbaNP","i8ToyICDmI","P8v4zCKN1o","fu6greOZ01","AHs5Up7iyr","AF7qkfDlqP","9FxExcQeMw","eLxqMNBOBk","oacrs7FA3X"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3384","layer":4},{"info":"number node, value=3035","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=3035, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=4356, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=0","layer":2},{"info":"number node, value=1044","layer":4},{"info":"number node, value=2335","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=2335, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1336","layer":3},{"info":"number node, value=3603","layer":4},{"info":"number node, value=6669","layer":4},{"info":"compute binary expreesion, left_input=3603, right_input=6669, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6164","layer":3},{"info":"compute binary expreesion, left_input=-1336, right_input=-6164, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5461","layer":4},{"info":"number node, value=2673","layer":4},{"info":"compute binary expreesion, left_input=5461, right_input=2673, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10798","layer":3},{"info":"compute unary expreesion, input=10798, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=116596804","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=116596804, 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 = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D38∼∃⊬BDB+⇶⊼(∃⊬608∲⫓∃⊬1104)+⇶⊼(∥⊫∃⊬414⨐⩸⫘∃⊬91F))⨓((⨑⩽⪐∃⊬649)≹⇙⪍(∃⊬E13⩷∴∃⊬1A0D)+⇶⊼(⫓⪴∃⊬1555⪘⫢∃⊬A71))=NaN","reverse_text":"NaN=(∃⊬D38∼∃⊬BDB+⇶⊼(∃⊬608∲⫓∃⊬1104)+⇶⊼(∥⊫∃⊬414⨐⩸⫘∃⊬91F))⨓((⨑⩽⪐∃⊬649)≹⇙⪍(∃⊬E13⩷∴∃⊬1A0D)+⇶⊼(⫓⪴∃⊬1555⪘⫢∃⊬A71))","cot":[{"info":"∃⊬D38∼∃⊬BDB=NaN","layer":3},{"info":"∃⊬608∲⫓∃⊬1104=∃⊬0","layer":3},{"info":"NaN+⇶⊼∃⊬0=∃⊬0","layer":2},{"info":"∃⊬414⨐⩸⫘∃⊬91F=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"∃⊬0+⇶⊼NaN=NaN","layer":1},{"info":"⨑⩽⪐∃⊬649=∃⊬-538","layer":3},{"info":"∃⊬E13⩷∴∃⊬1A0D=∃⊬-1814","layer":3},{"info":"∃⊬-538≹⇙⪍∃⊬-1814=NaN","layer":2},{"info":"∃⊬1555⪘⫢∃⊬A71=∃⊬2A2E","layer":3},{"info":"⫓⪴∃⊬2A2E=∃⊬6F32044","layer":2},{"info":"NaN+⇶⊼∃⊬6F32044=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":67,"expression_no_base_symbol":"(+⊝⨔$2650$⊴$2440$)⨓($7023$⨳⩥⨓$4267$⨳⩥⨓($4259$⩨$5762$))≭(⨞⊢($2511$⪒$4051$)⨓($2066$⫥∨⫟$2372$))","expression":"(+⊝⨔∃⊬A5A⊴∃⊬988)⨓(∃⊬1B6F⨳⩥⨓∃⊬10AB⨳⩥⨓(∃⊬10A3⩨∃⊬1682))≭(⨞⊢(∃⊬9CF⪒∃⊬FD3)⨓(∃⊬812⫥∨⫟∃⊬944))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5484,"operation_count":11,"complexity_ratio":498.54545454545456,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2650,"base":16},"right_expr":{"type":"numeric_atoms","value":2440,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7023,"base":16},"right_expr":{"type":"numeric_atoms","value":4267,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4259,"base":16},"right_expr":{"type":"numeric_atoms","value":5762,"base":16}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2511,"base":16},"right_expr":{"type":"numeric_atoms","value":4051,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2066,"base":16},"right_expr":{"type":"numeric_atoms","value":2372,"base":16}}}}},"used_operators":["rxpJgHHUmx","3ViojmjbAp","DhbWaqg5eL","Nsiff2A1zJ","nCS4ZIUYfx","2DlMacCsIx","xUOZtlo3hN","f6k1SAg4EE","KYD54nUTWz"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2650","layer":4},{"info":"number node, value=2440","layer":4},{"info":"compute binary expreesion, left_input=2650, right_input=2440, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=7023","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=7023, right_input=4267, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2756","layer":3},{"info":"number node, value=4259","layer":4},{"info":"number node, value=5762","layer":4},{"info":"compute binary expreesion, left_input=4259, right_input=5762, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-2756, right_input=-3, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2753","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=2753, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2756","layer":1},{"info":"number node, value=2511","layer":4},{"info":"number node, value=4051","layer":4},{"info":"compute binary expreesion, left_input=2511, right_input=4051, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6562","layer":3},{"info":"number node, value=2066","layer":4},{"info":"number node, value=2372","layer":4},{"info":"compute binary expreesion, left_input=2066, right_input=2372, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6562, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-2756, 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":"(+⊝⨔∃⊬A5A⊴∃⊬988)⨓(∃⊬1B6F⨳⩥⨓∃⊬10AB⨳⩥⨓(∃⊬10A3⩨∃⊬1682))≭(⨞⊢(∃⊬9CF⪒∃⊬FD3)⨓(∃⊬812⫥∨⫟∃⊬944))=NaN","reverse_text":"NaN=(+⊝⨔∃⊬A5A⊴∃⊬988)⨓(∃⊬1B6F⨳⩥⨓∃⊬10AB⨳⩥⨓(∃⊬10A3⩨∃⊬1682))≭(⨞⊢(∃⊬9CF⪒∃⊬FD3)⨓(∃⊬812⫥∨⫟∃⊬944))","cot":[{"info":"∃⊬A5A⊴∃⊬988=NaN","layer":3},{"info":"+⊝⨔NaN=∃⊬5F2","layer":2},{"info":"∃⊬1B6F⨳⩥⨓∃⊬10AB=∃⊬-AC4","layer":3},{"info":"∃⊬10A3⩨∃⊬1682=∃⊬-3","layer":3},{"info":"∃⊬-AC4⨳⩥⨓∃⊬-3=∃⊬AC1","layer":2},{"info":"∃⊬5F2⨓∃⊬AC1=∃⊬-AC4","layer":1},{"info":"∃⊬9CF⪒∃⊬FD3=∃⊬-19A2","layer":3},{"info":"∃⊬812⫥∨⫟∃⊬944=NaN","layer":3},{"info":"∃⊬-19A2⨓NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"∃⊬-AC4≭NaN=NaN","layer":0}]}
{"id":68,"expression_no_base_symbol":"∂((($1875$*$1365$)⫸⊐($1145$%$3896$))⊘)","expression":"∂(((∃⊬753*∃⊬555)⫸⊐(∃⊬479%∃⊬F38))⊘)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1826,"operation_count":5,"complexity_ratio":365.2,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1875,"base":16},"right_expr":{"type":"numeric_atoms","value":1365,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1145,"base":16},"right_expr":{"type":"numeric_atoms","value":3896,"base":16}}}}},"used_operators":["Uaa54Peajs","gu96TGCTMs","mqXw5SEYmG","9HNa5Wba9A","k8jYdgA6NY"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-108","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1875","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=1875, right_input=1365, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2559375","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=3896, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1145","layer":3},{"info":"compute binary expreesion, left_input=2559375, right_input=1145, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4455","layer":2},{"info":"compute unary expreesion, input=4455, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":0}],"base":16,"result_base":16,"text":"∂(((∃⊬753*∃⊬555)⫸⊐(∃⊬479%∃⊬F38))⊘)=∃⊬-108","reverse_text":"∃⊬-108=∂(((∃⊬753*∃⊬555)⫸⊐(∃⊬479%∃⊬F38))⊘)","cot":[{"info":"∃⊬753*∃⊬555=∃⊬270D8F","layer":3},{"info":"∃⊬479%∃⊬F38=∃⊬479","layer":3},{"info":"∃⊬270D8F⫸⊐∃⊬479=∃⊬1167","layer":2},{"info":"∃⊬1167⊘=∃⊬0","layer":1},{"info":"∂∃⊬0=∃⊬-108","layer":0}]}
{"id":69,"expression_no_base_symbol":"($2542$⋥≓≎$3583$)⪛($8023$⊪)⨳⩥⨓((+⊝⨔$5549$)∲⫓$1450$∑⇟⊟$1037$)⪒((↣≠⋷($3123$⪮%⊝$3448$))⩤)","expression":"(∃⊬9EE⋥≓≎∃⊬DFF)⪛(∃⊬1F57⊪)⨳⩥⨓((+⊝⨔∃⊬15AD)∲⫓∃⊬5AA∑⇟⊟∃⊬40D)⪒((↣≠⋷(∃⊬C33⪮%⊝∃⊬D78))⩤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":103,"operation_count":11,"complexity_ratio":9.363636363636363,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2542,"base":16},"right_expr":{"type":"numeric_atoms","value":3583,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":8023,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5549,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1450,"base":16},"right_expr":{"type":"numeric_atoms","value":1037,"base":16}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3123,"base":16},"right_expr":{"type":"numeric_atoms","value":3448,"base":16}}}}},"used_operators":["f6k1SAg4EE","nCS4ZIUYfx","uFcxV4UQCh","Qy55tPpLXF","zVYPLywUTj","i8ToyICDmI","DhbWaqg5eL","U7g4x0WXJJ","Z2TMIBDE3Q","Asc51vEJeQ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2542","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=2542, right_input=3583, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4657","layer":3},{"info":"number node, value=8023","layer":4},{"info":"compute unary expreesion, input=8023, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4657, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=5549","layer":4},{"info":"compute unary expreesion, input=5549, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=1037, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=3123","layer":4},{"info":"number node, value=3448","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=3448, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6562","layer":3},{"info":"compute unary expreesion, input=6562, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9EE⋥≓≎∃⊬DFF)⪛(∃⊬1F57⊪)⨳⩥⨓((+⊝⨔∃⊬15AD)∲⫓∃⊬5AA∑⇟⊟∃⊬40D)⪒((↣≠⋷(∃⊬C33⪮%⊝∃⊬D78))⩤)=NaN","reverse_text":"NaN=(∃⊬9EE⋥≓≎∃⊬DFF)⪛(∃⊬1F57⊪)⨳⩥⨓((+⊝⨔∃⊬15AD)∲⫓∃⊬5AA∑⇟⊟∃⊬40D)⪒((↣≠⋷(∃⊬C33⪮%⊝∃⊬D78))⩤)","cot":[{"info":"∃⊬9EE⋥≓≎∃⊬DFF=∃⊬1231","layer":3},{"info":"∃⊬1F57⊪=∃⊬0","layer":3},{"info":"∃⊬1231⪛∃⊬0=NaN","layer":2},{"info":"+⊝⨔∃⊬15AD=∃⊬5F2","layer":3},{"info":"∃⊬5AA∑⇟⊟∃⊬40D=NaN","layer":3},{"info":"∃⊬5F2∲⫓NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"∃⊬C33⪮%⊝∃⊬D78=∃⊬19A2","layer":3},{"info":"↣≠⋷∃⊬19A2=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":70,"expression_no_base_symbol":"(↥((-$1829$)⊉≛↸$2160$⨟⋌⩍$5889$))⊭↱((≤/$4555$⨰$4017$)*$3287$⋝⋈⪟$1549$⋥≓≎($2065$⨵⪆$1548$))","expression":"(↥((-∃⊬725)⊉≛↸∃⊬870⨟⋌⩍∃⊬1701))⊭↱((≤/∃⊬11CB⨰∃⊬FB1)*∃⊬CD7⋝⋈⪟∃⊬60D⋥≓≎(∃⊬811⨵⪆∃⊬60C))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":92,"operation_count":11,"complexity_ratio":8.363636363636363,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1829,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2160,"base":16},"right_expr":{"type":"numeric_atoms","value":5889,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4555,"base":16},"right_expr":{"type":"numeric_atoms","value":4017,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3287,"base":16},"right_expr":{"type":"numeric_atoms","value":1549,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2065,"base":16},"right_expr":{"type":"numeric_atoms","value":1548,"base":16}}}}},"used_operators":["COABgblf1C","A8NUZmVepG","DZ8iAZOCBD","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","eLAdDNolq6","eewbuw0ToL","Qy55tPpLXF","2DDjHMKMc0","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":4},{"info":"compute unary expreesion, input=1829, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1829","layer":3},{"info":"number node, value=2160","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=5889, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1829, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=4555","layer":4},{"info":"number node, value=4017","layer":4},{"info":"compute binary expreesion, left_input=4555, right_input=4017, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=548","layer":3},{"info":"compute unary expreesion, input=548, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-64","layer":2},{"info":"number node, value=3287","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=3287, right_input=1549, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3287","layer":3},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1548","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1548, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=3287, right_input=160, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2934","layer":2},{"info":"compute binary expreesion, left_input=-64, right_input=-2934, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=187776","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=187776, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥((-∃⊬725)⊉≛↸∃⊬870⨟⋌⩍∃⊬1701))⊭↱((≤/∃⊬11CB⨰∃⊬FB1)*∃⊬CD7⋝⋈⪟∃⊬60D⋥≓≎(∃⊬811⨵⪆∃⊬60C))=NaN","reverse_text":"NaN=(↥((-∃⊬725)⊉≛↸∃⊬870⨟⋌⩍∃⊬1701))⊭↱((≤/∃⊬11CB⨰∃⊬FB1)*∃⊬CD7⋝⋈⪟∃⊬60D⋥≓≎(∃⊬811⨵⪆∃⊬60C))","cot":[{"info":"-∃⊬725=∃⊬-725","layer":3},{"info":"∃⊬870⨟⋌⩍∃⊬1701=NaN","layer":3},{"info":"∃⊬-725⊉≛↸NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"∃⊬11CB⨰∃⊬FB1=∃⊬224","layer":3},{"info":"≤/∃⊬224=∃⊬-40","layer":2},{"info":"∃⊬CD7⋝⋈⪟∃⊬60D=∃⊬CD7","layer":3},{"info":"∃⊬811⨵⪆∃⊬60C=∃⊬A0","layer":3},{"info":"∃⊬CD7⋥≓≎∃⊬A0=∃⊬-B76","layer":2},{"info":"∃⊬-40*∃⊬-B76=∃⊬2DD80","layer":1},{"info":"NaN⊭↱∃⊬2DD80=NaN","layer":0}]}
{"id":71,"expression_no_base_symbol":"(($1190$⊉≛↸$1495$)⋝⋈⪟($3492$⊭↱$5890$)%($1523$⪠⩆⊳)⊴($1641$⪮%⊝$8036$))⩨(↥($2043$⇼⇔∾$4026$⇼⇔∾($3812$⨁⊸⫻)))","expression":"((∃⊬4A6⊉≛↸∃⊬5D7)⋝⋈⪟(∃⊬DA4⊭↱∃⊬1702)%(∃⊬5F3⪠⩆⊳)⊴(∃⊬669⪮%⊝∃⊬1F64))⩨(↥(∃⊬7FB⇼⇔∾∃⊬FBA⇼⇔∾(∃⊬EE4⨁⊸⫻)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3675,"operation_count":12,"complexity_ratio":306.25,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1190,"base":16},"right_expr":{"type":"numeric_atoms","value":1495,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3492,"base":16},"right_expr":{"type":"numeric_atoms","value":5890,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1523,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1641,"base":16},"right_expr":{"type":"numeric_atoms","value":8036,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2043,"base":16},"right_expr":{"type":"numeric_atoms","value":4026,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":3812,"base":16}}}}},"used_operators":["2DlMacCsIx","k8jYdgA6NY","2DDjHMKMc0","DZ8iAZOCBD","COABgblf1C","Nsiff2A1zJ","JLbD19bQDL","IWmyXbctLI","A8NUZmVepG","tifHPKVTfV","glklzrTFfD"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1190","layer":4},{"info":"number node, value=1495","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=1495, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2380","layer":3},{"info":"number node, value=3492","layer":4},{"info":"number node, value=5890","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=5890, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4801","layer":3},{"info":"compute binary expreesion, left_input=2380, right_input=4801, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2380","layer":2},{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1641","layer":4},{"info":"number node, value=8036","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=8036, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3598","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3598, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2380, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2043","layer":4},{"info":"number node, value=4026","layer":4},{"info":"compute binary expreesion, left_input=2043, right_input=4026, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1983","layer":3},{"info":"number node, value=3812","layer":4},{"info":"compute unary expreesion, input=3812, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3812","layer":3},{"info":"compute binary expreesion, left_input=1983, right_input=3812, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1829","layer":2},{"info":"compute unary expreesion, input=1829, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=44","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=44, 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":"((∃⊬4A6⊉≛↸∃⊬5D7)⋝⋈⪟(∃⊬DA4⊭↱∃⊬1702)%(∃⊬5F3⪠⩆⊳)⊴(∃⊬669⪮%⊝∃⊬1F64))⩨(↥(∃⊬7FB⇼⇔∾∃⊬FBA⇼⇔∾(∃⊬EE4⨁⊸⫻)))=NaN","reverse_text":"NaN=((∃⊬4A6⊉≛↸∃⊬5D7)⋝⋈⪟(∃⊬DA4⊭↱∃⊬1702)%(∃⊬5F3⪠⩆⊳)⊴(∃⊬669⪮%⊝∃⊬1F64))⩨(↥(∃⊬7FB⇼⇔∾∃⊬FBA⇼⇔∾(∃⊬EE4⨁⊸⫻)))","cot":[{"info":"∃⊬4A6⊉≛↸∃⊬5D7=∃⊬94C","layer":3},{"info":"∃⊬DA4⊭↱∃⊬1702=∃⊬12C1","layer":3},{"info":"∃⊬94C⋝⋈⪟∃⊬12C1=∃⊬94C","layer":2},{"info":"∃⊬5F3⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬669⪮%⊝∃⊬1F64=∃⊬E0E","layer":3},{"info":"∃⊬0⊴∃⊬E0E=NaN","layer":2},{"info":"∃⊬94C%NaN=NaN","layer":1},{"info":"∃⊬7FB⇼⇔∾∃⊬FBA=∃⊬7BF","layer":3},{"info":"∃⊬EE4⨁⊸⫻=∃⊬EE4","layer":3},{"info":"∃⊬7BF⇼⇔∾∃⊬EE4=∃⊬725","layer":2},{"info":"↥∃⊬725=∃⊬2C","layer":1},{"info":"NaN⩨∃⊬2C=NaN","layer":0}]}
{"id":72,"expression_no_base_symbol":"((∥⊫$2909$)/$1427$⊉≛↸$1257$)∑⇟⊟($1239$≧⫂∧$5179$≧⫂∧($8333$⩷∴$1013$))⨳⩥⨓($2001$∼$6420$⪄($4853$/$6068$))⩷∴(⊄⩳↩($1877$/$5180$))","expression":"((∥⊫∃⊬B5D)/∃⊬593⊉≛↸∃⊬4E9)∑⇟⊟(∃⊬4D7≧⫂∧∃⊬143B≧⫂∧(∃⊬208D⩷∴∃⊬3F5))⨳⩥⨓(∃⊬7D1∼∃⊬1914⪄(∃⊬12F5/∃⊬17B4))⩷∴(⊄⩳↩(∃⊬755/∃⊬143C))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":93,"operation_count":14,"complexity_ratio":6.642857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2909,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1427,"base":16},"right_expr":{"type":"numeric_atoms","value":1257,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1239,"base":16},"right_expr":{"type":"numeric_atoms","value":5179,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":8333,"base":16},"right_expr":{"type":"numeric_atoms","value":1013,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2001,"base":16},"right_expr":{"type":"numeric_atoms","value":6420,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4853,"base":16},"right_expr":{"type":"numeric_atoms","value":6068,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1877,"base":16},"right_expr":{"type":"numeric_atoms","value":5180,"base":16}}}}},"used_operators":["nCS4ZIUYfx","U7g4x0WXJJ","XhwjNDsVaA","P8v4zCKN1o","DZ8iAZOCBD","Ph9nP6C5qx","9FxExcQeMw","SUmda5xLS4","DyGG3AbaNP","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2909","layer":4},{"info":"compute unary expreesion, input=2909, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3777","layer":3},{"info":"number node, value=1427","layer":4},{"info":"number node, value=1257","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=1257, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2854","layer":3},{"info":"compute binary expreesion, left_input=3777, right_input=2854, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":2},{"info":"number node, value=1239","layer":4},{"info":"number node, value=5179","layer":4},{"info":"compute binary expreesion, left_input=1239, right_input=5179, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4706","layer":3},{"info":"number node, value=8333","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=8333, right_input=1013, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=14608","layer":3},{"info":"compute binary expreesion, left_input=4706, right_input=14608, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=14135","layer":2},{"info":"compute binary expreesion, left_input=1, right_input=14135, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2001","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=6420, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4853","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=4853, right_input=6068, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1877","layer":4},{"info":"number node, value=5180","layer":4},{"info":"compute binary expreesion, left_input=1877, right_input=5180, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7926","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7926, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∥⊫∃⊬B5D)/∃⊬593⊉≛↸∃⊬4E9)∑⇟⊟(∃⊬4D7≧⫂∧∃⊬143B≧⫂∧(∃⊬208D⩷∴∃⊬3F5))⨳⩥⨓(∃⊬7D1∼∃⊬1914⪄(∃⊬12F5/∃⊬17B4))⩷∴(⊄⩳↩(∃⊬755/∃⊬143C))=NaN","reverse_text":"NaN=((∥⊫∃⊬B5D)/∃⊬593⊉≛↸∃⊬4E9)∑⇟⊟(∃⊬4D7≧⫂∧∃⊬143B≧⫂∧(∃⊬208D⩷∴∃⊬3F5))⨳⩥⨓(∃⊬7D1∼∃⊬1914⪄(∃⊬12F5/∃⊬17B4))⩷∴(⊄⩳↩(∃⊬755/∃⊬143C))","cot":[{"info":"∥⊫∃⊬B5D=∃⊬EC1","layer":3},{"info":"∃⊬593⊉≛↸∃⊬4E9=∃⊬B26","layer":3},{"info":"∃⊬EC1/∃⊬B26=∃⊬1","layer":2},{"info":"∃⊬4D7≧⫂∧∃⊬143B=∃⊬1262","layer":3},{"info":"∃⊬208D⩷∴∃⊬3F5=∃⊬3910","layer":3},{"info":"∃⊬1262≧⫂∧∃⊬3910=∃⊬3737","layer":2},{"info":"∃⊬1∑⇟⊟∃⊬3737=NaN","layer":1},{"info":"∃⊬7D1∼∃⊬1914=NaN","layer":3},{"info":"∃⊬12F5/∃⊬17B4=∃⊬0","layer":3},{"info":"NaN⪄∃⊬0=∃⊬F8B","layer":2},{"info":"∃⊬755/∃⊬143C=∃⊬0","layer":3},{"info":"⊄⩳↩∃⊬0=∃⊬0","layer":2},{"info":"∃⊬F8B⩷∴∃⊬0=∃⊬1EF6","layer":1},{"info":"NaN⨳⩥⨓∃⊬1EF6=NaN","layer":0}]}
{"id":73,"expression_no_base_symbol":"(∥⊫($4588$⫥∨⫟$2505$)∼($1338$≋⫹))⨐⩸⫘($1722$⫥∨⫟$1262$⋥≓≎($3614$↺$4121$)↺($4596$∑⇟⊟$3947$⊪))","expression":"(∥⊫(∃⊬11EC⫥∨⫟∃⊬9C9)∼(∃⊬53A≋⫹))⨐⩸⫘(∃⊬6BA⫥∨⫟∃⊬4EE⋥≓≎(∃⊬E1E↺∃⊬1019)↺(∃⊬11F4∑⇟⊟∃⊬F6B⊪))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":338,"operation_count":11,"complexity_ratio":30.727272727272727,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4588,"base":16},"right_expr":{"type":"numeric_atoms","value":2505,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1338,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1722,"base":16},"right_expr":{"type":"numeric_atoms","value":1262,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3614,"base":16},"right_expr":{"type":"numeric_atoms","value":4121,"base":16}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4596,"base":16},"right_expr":{"type":"numeric_atoms","value":3947,"base":16}}}}},"used_operators":["fu6greOZ01","P8v4zCKN1o","DyGG3AbaNP","KYD54nUTWz","N41Kp7NANJ","7j4O788W3g","Qy55tPpLXF","zVYPLywUTj","U7g4x0WXJJ"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4588","layer":4},{"info":"number node, value=2505","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=2505, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1338","layer":4},{"info":"compute unary expreesion, input=1338, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2676","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2676, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"number node, value=1722","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1262, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3614","layer":4},{"info":"number node, value=4121","layer":4},{"info":"compute binary expreesion, left_input=3614, right_input=4121, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4121","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4121, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=4596","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=4596, right_input=3947, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∥⊫(∃⊬11EC⫥∨⫟∃⊬9C9)∼(∃⊬53A≋⫹))⨐⩸⫘(∃⊬6BA⫥∨⫟∃⊬4EE⋥≓≎(∃⊬E1E↺∃⊬1019)↺(∃⊬11F4∑⇟⊟∃⊬F6B⊪))=NaN","reverse_text":"NaN=(∥⊫(∃⊬11EC⫥∨⫟∃⊬9C9)∼(∃⊬53A≋⫹))⨐⩸⫘(∃⊬6BA⫥∨⫟∃⊬4EE⋥≓≎(∃⊬E1E↺∃⊬1019)↺(∃⊬11F4∑⇟⊟∃⊬F6B⊪))","cot":[{"info":"∃⊬11EC⫥∨⫟∃⊬9C9=NaN","layer":3},{"info":"∃⊬53A≋⫹=∃⊬-A74","layer":3},{"info":"NaN∼∃⊬-A74=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"∃⊬6BA⫥∨⫟∃⊬4EE=NaN","layer":3},{"info":"∃⊬E1E↺∃⊬1019=∃⊬1019","layer":3},{"info":"NaN⋥≓≎∃⊬1019=∃⊬43","layer":2},{"info":"∃⊬11F4∑⇟⊟∃⊬F6B=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"∃⊬43↺NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":74,"expression_no_base_symbol":"(⨈⫕($1636$+$1499$⪨≂$2732$⪘⫢$7403$))⊴(($4032$⪄$1203$)≹⇙⪍(⨑⩽⪐$1842$)%(($4543$⊭∹↮)≫≃))","expression":"(⨈⫕(∃⊬664+∃⊬5DB⪨≂∃⊬AAC⪘⫢∃⊬1CEB))⊴((∃⊬FC0⪄∃⊬4B3)≹⇙⪍(⨑⩽⪐∃⊬732)%((∃⊬11BF⊭∹↮)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":528,"operation_count":11,"complexity_ratio":48.0,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1636,"base":16},"right_expr":{"type":"numeric_atoms","value":1499,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2732,"base":16},"right_expr":{"type":"numeric_atoms","value":7403,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4032,"base":16},"right_expr":{"type":"numeric_atoms","value":1203,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1842,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4543,"base":16}}}}},"used_operators":["Nsiff2A1zJ","megm06wKyl","sdazOOVcIp","W4YGzv6Whe","oacrs7FA3X","k8jYdgA6NY","AHs5Up7iyr","SUmda5xLS4","AF7qkfDlqP","X99M06cbEe","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1636","layer":4},{"info":"number node, value=1499","layer":4},{"info":"compute binary expreesion, left_input=1636, right_input=1499, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3135","layer":3},{"info":"number node, value=2732","layer":4},{"info":"number node, value=7403","layer":4},{"info":"compute binary expreesion, left_input=2732, right_input=7403, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5340","layer":3},{"info":"compute binary expreesion, left_input=3135, right_input=5340, 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=-4308","layer":2},{"info":"compute unary expreesion, input=-4308, 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=4032","layer":4},{"info":"number node, value=1203","layer":4},{"info":"compute binary expreesion, left_input=4032, right_input=1203, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-597637","layer":3},{"info":"number node, value=1842","layer":4},{"info":"compute unary expreesion, input=1842, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1569","layer":3},{"info":"compute binary expreesion, left_input=-597637, right_input=-1569, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4543","layer":4},{"info":"compute unary expreesion, input=4543, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9086","layer":3},{"info":"compute unary expreesion, input=9086, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=19573","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19573, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕(∃⊬664+∃⊬5DB⪨≂∃⊬AAC⪘⫢∃⊬1CEB))⊴((∃⊬FC0⪄∃⊬4B3)≹⇙⪍(⨑⩽⪐∃⊬732)%((∃⊬11BF⊭∹↮)≫≃))=NaN","reverse_text":"NaN=(⨈⫕(∃⊬664+∃⊬5DB⪨≂∃⊬AAC⪘⫢∃⊬1CEB))⊴((∃⊬FC0⪄∃⊬4B3)≹⇙⪍(⨑⩽⪐∃⊬732)%((∃⊬11BF⊭∹↮)≫≃))","cot":[{"info":"∃⊬664+∃⊬5DB=∃⊬C3F","layer":3},{"info":"∃⊬AAC⪘⫢∃⊬1CEB=∃⊬14DC","layer":3},{"info":"∃⊬C3F⪨≂∃⊬14DC=∃⊬-10D4","layer":2},{"info":"⨈⫕∃⊬-10D4=∃⊬-15","layer":1},{"info":"∃⊬FC0⪄∃⊬4B3=∃⊬-91E85","layer":3},{"info":"⨑⩽⪐∃⊬732=∃⊬-621","layer":3},{"info":"∃⊬-91E85≹⇙⪍∃⊬-621=NaN","layer":2},{"info":"∃⊬11BF⊭∹↮=∃⊬237E","layer":3},{"info":"∃⊬237E≫≃=∃⊬4C75","layer":2},{"info":"NaN%∃⊬4C75=NaN","layer":1},{"info":"∃⊬-15⊴NaN=NaN","layer":0}]}
{"id":75,"expression_no_base_symbol":"(≉($1167$∧))⊭↱($4026$⨵⪆$1518$)∑⇟⊟(⇁⨣⪵$1336$)⇼⇔∾(⫛⫱⨽((↣≠⋷$1009$)⪮%⊝($2101$⨐⩸⫘$4271$)))","expression":"(≉(∃⊬48F∧))⊭↱(∃⊬FBA⨵⪆∃⊬5EE)∑⇟⊟(⇁⨣⪵∃⊬538)⇼⇔∾(⫛⫱⨽((↣≠⋷∃⊬3F1)⪮%⊝(∃⊬835⨐⩸⫘∃⊬10AF)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":943,"operation_count":11,"complexity_ratio":85.72727272727273,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1167,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4026,"base":16},"right_expr":{"type":"numeric_atoms","value":1518,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1336,"base":16}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1009,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2101,"base":16},"right_expr":{"type":"numeric_atoms","value":4271,"base":16}}}}},"used_operators":["tifHPKVTfV","COABgblf1C","e1ybzncUwg","z63VuFQld9","U7g4x0WXJJ","2DQ55sFlQl","inkyxCbjAn","DlLNRPXxWL","IWmyXbctLI","Asc51vEJeQ","fu6greOZ01"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1167","layer":4},{"info":"compute unary expreesion, input=1167, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=4026","layer":4},{"info":"number node, value=1518","layer":4},{"info":"compute binary expreesion, left_input=4026, right_input=1518, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2101","layer":4},{"info":"number node, value=4271","layer":4},{"info":"compute binary expreesion, left_input=2101, right_input=4271, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉(∃⊬48F∧))⊭↱(∃⊬FBA⨵⪆∃⊬5EE)∑⇟⊟(⇁⨣⪵∃⊬538)⇼⇔∾(⫛⫱⨽((↣≠⋷∃⊬3F1)⪮%⊝(∃⊬835⨐⩸⫘∃⊬10AF)))=NaN","reverse_text":"NaN=(≉(∃⊬48F∧))⊭↱(∃⊬FBA⨵⪆∃⊬5EE)∑⇟⊟(⇁⨣⪵∃⊬538)⇼⇔∾(⫛⫱⨽((↣≠⋷∃⊬3F1)⪮%⊝(∃⊬835⨐⩸⫘∃⊬10AF)))","cot":[{"info":"∃⊬48F∧=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"∃⊬FBA⨵⪆∃⊬5EE=∃⊬A0","layer":3},{"info":"⇁⨣⪵∃⊬538=NaN","layer":3},{"info":"∃⊬A0∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"↣≠⋷∃⊬3F1=NaN","layer":3},{"info":"∃⊬835⨐⩸⫘∃⊬10AF=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"⫛⫱⨽NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":76,"expression_no_base_symbol":"⪲⇎($1782$⋓$1337$-($1261$+$1815$))≧⫂∧((+⊝⨔$2787$)⊭↱($3552$*$2862$))","expression":"⪲⇎(∃⊬6F6⋓∃⊬539-(∃⊬4ED+∃⊬717))≧⫂∧((+⊝⨔∃⊬AE3)⊭↱(∃⊬DE0*∃⊬B2E))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2926,"operation_count":8,"complexity_ratio":365.75,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1782,"base":16},"right_expr":{"type":"numeric_atoms","value":1337,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1261,"base":16},"right_expr":{"type":"numeric_atoms","value":1815,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2787,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3552,"base":16},"right_expr":{"type":"numeric_atoms","value":2862,"base":16}}}}},"used_operators":["XPYlsWDdGa","Ph9nP6C5qx","rysDP5nf3Z","T2fj7uvVaJ","W4YGzv6Whe","COABgblf1C","DhbWaqg5eL","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe"],"result":"∃⊬26C5D90","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1782","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=1337, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=1815, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3076","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3076, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3076","layer":2},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3552","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=2862, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10165824","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=10165824, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=20328609","layer":2},{"info":"compute binary expreesion, left_input=-3076, right_input=20328609, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=20328136","layer":1},{"info":"compute unary expreesion, input=20328136, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=40656272","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(∃⊬6F6⋓∃⊬539-(∃⊬4ED+∃⊬717))≧⫂∧((+⊝⨔∃⊬AE3)⊭↱(∃⊬DE0*∃⊬B2E))=∃⊬26C5D90","reverse_text":"∃⊬26C5D90=⪲⇎(∃⊬6F6⋓∃⊬539-(∃⊬4ED+∃⊬717))≧⫂∧((+⊝⨔∃⊬AE3)⊭↱(∃⊬DE0*∃⊬B2E))","cot":[{"info":"∃⊬6F6⋓∃⊬539=∃⊬0","layer":3},{"info":"∃⊬4ED+∃⊬717=∃⊬C04","layer":3},{"info":"∃⊬0-∃⊬C04=∃⊬-C04","layer":2},{"info":"+⊝⨔∃⊬AE3=∃⊬5F2","layer":3},{"info":"∃⊬DE0*∃⊬B2E=∃⊬9B1E40","layer":3},{"info":"∃⊬5F2⊭↱∃⊬9B1E40=∃⊬13630A1","layer":2},{"info":"∃⊬-C04≧⫂∧∃⊬13630A1=∃⊬1362EC8","layer":1},{"info":"⪲⇎∃⊬1362EC8=∃⊬26C5D90","layer":0}]}
{"id":77,"expression_no_base_symbol":"(⨵≀≌(⊄⩳↩$2123$))*((↣≠⋷$1157$)∧)+($1891$⊪)⫸⊐($4917$⨸⪁$1734$)⊭↱(≦∁$6135$)⪘⫢($1306$↙$5367$)","expression":"(⨵≀≌(⊄⩳↩∃⊬84B))*((↣≠⋷∃⊬485)∧)+(∃⊬763⊪)⫸⊐(∃⊬1335⨸⪁∃⊬6C6)⊭↱(≦∁∃⊬17F7)⪘⫢(∃⊬51A↙∃⊬14F7)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11816,"operation_count":13,"complexity_ratio":908.9230769230769,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2123,"base":16}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1157,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1891,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4917,"base":16},"right_expr":{"type":"numeric_atoms","value":1734,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6135,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1306,"base":16},"right_expr":{"type":"numeric_atoms","value":5367,"base":16}}}}},"used_operators":["W4YGzv6Whe","9HNa5Wba9A","srAu1WTS94","8w2t5hMYqp","z63VuFQld9","Asc51vEJeQ","COABgblf1C","mqXw5SEYmG","zVYPLywUTj","g55IO6H4Gj","oacrs7FA3X","9ICcGScMcE","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2123","layer":4},{"info":"compute unary expreesion, input=2123, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6369","layer":3},{"info":"compute unary expreesion, input=-6369, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=40564161","layer":2},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=40564161, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1891","layer":4},{"info":"compute unary expreesion, input=1891, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=4917","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=4917, right_input=1734, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13302","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13302, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=6135","layer":4},{"info":"compute unary expreesion, input=6135, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6135","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=5367, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16101","layer":3},{"info":"compute binary expreesion, left_input=6135, right_input=-16101, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌(⊄⩳↩∃⊬84B))*((↣≠⋷∃⊬485)∧)+(∃⊬763⊪)⫸⊐(∃⊬1335⨸⪁∃⊬6C6)⊭↱(≦∁∃⊬17F7)⪘⫢(∃⊬51A↙∃⊬14F7)=NaN","reverse_text":"NaN=(⨵≀≌(⊄⩳↩∃⊬84B))*((↣≠⋷∃⊬485)∧)+(∃⊬763⊪)⫸⊐(∃⊬1335⨸⪁∃⊬6C6)⊭↱(≦∁∃⊬17F7)⪘⫢(∃⊬51A↙∃⊬14F7)","cot":[{"info":"⊄⩳↩∃⊬84B=∃⊬-18E1","layer":3},{"info":"⨵≀≌∃⊬-18E1=∃⊬26AF5C1","layer":2},{"info":"↣≠⋷∃⊬485=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"∃⊬26AF5C1*NaN=NaN","layer":1},{"info":"∃⊬763⊪=∃⊬0","layer":3},{"info":"∃⊬1335⨸⪁∃⊬6C6=∃⊬33F6","layer":3},{"info":"∃⊬0⫸⊐∃⊬33F6=∃⊬0","layer":2},{"info":"≦∁∃⊬17F7=∃⊬17F7","layer":3},{"info":"∃⊬51A↙∃⊬14F7=∃⊬-3EE5","layer":3},{"info":"∃⊬17F7⪘⫢∃⊬-3EE5=∃⊬-1","layer":2},{"info":"∃⊬0⊭↱∃⊬-1=∃⊬3","layer":1},{"info":"NaN+∃⊬3=NaN","layer":0}]}
{"id":78,"expression_no_base_symbol":"(($3405$⋥≓≎$2870$)⩷∴($5006$⫥∨⫟$1128$))∼($1934$⪮%⊝$1108$⋓$4706$⨓$6977$)↪⪝","expression":"((∃⊬D4D⋥≓≎∃⊬B36)⩷∴(∃⊬138E⫥∨⫟∃⊬468))∼(∃⊬78E⪮%⊝∃⊬454⋓∃⊬1262⨓∃⊬1B41)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7317,"operation_count":8,"complexity_ratio":914.625,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3405,"base":16},"right_expr":{"type":"numeric_atoms","value":2870,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5006,"base":16},"right_expr":{"type":"numeric_atoms","value":1128,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1934,"base":16},"right_expr":{"type":"numeric_atoms","value":1108,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4706,"base":16},"right_expr":{"type":"numeric_atoms","value":6977,"base":16}}}}},"used_operators":["l07mrZUIn9","DyGG3AbaNP","9FxExcQeMw","Qy55tPpLXF","KYD54nUTWz","T2fj7uvVaJ","IWmyXbctLI","3ViojmjbAp"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬12ABD8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3405","layer":4},{"info":"number node, value=2870","layer":4},{"info":"compute binary expreesion, left_input=3405, right_input=2870, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2368","layer":3},{"info":"number node, value=5006","layer":4},{"info":"number node, value=1128","layer":4},{"info":"compute binary expreesion, left_input=5006, right_input=1128, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2368, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=1108, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4184","layer":3},{"info":"number node, value=4706","layer":4},{"info":"number node, value=6977","layer":4},{"info":"compute binary expreesion, left_input=4706, right_input=6977, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6980","layer":3},{"info":"compute binary expreesion, left_input=4184, right_input=-6980, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"compute unary expreesion, input=20, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=1223640","layer":0}],"base":16,"result_base":16,"text":"((∃⊬D4D⋥≓≎∃⊬B36)⩷∴(∃⊬138E⫥∨⫟∃⊬468))∼(∃⊬78E⪮%⊝∃⊬454⋓∃⊬1262⨓∃⊬1B41)↪⪝=∃⊬12ABD8","reverse_text":"∃⊬12ABD8=((∃⊬D4D⋥≓≎∃⊬B36)⩷∴(∃⊬138E⫥∨⫟∃⊬468))∼(∃⊬78E⪮%⊝∃⊬454⋓∃⊬1262⨓∃⊬1B41)↪⪝","cot":[{"info":"∃⊬D4D⋥≓≎∃⊬B36=∃⊬940","layer":3},{"info":"∃⊬138E⫥∨⫟∃⊬468=NaN","layer":3},{"info":"∃⊬940⩷∴NaN=NaN","layer":2},{"info":"∃⊬78E⪮%⊝∃⊬454=∃⊬1058","layer":3},{"info":"∃⊬1262⨓∃⊬1B41=∃⊬-1B44","layer":3},{"info":"∃⊬1058⋓∃⊬-1B44=∃⊬0","layer":2},{"info":"NaN∼∃⊬0=∃⊬14","layer":1},{"info":"∃⊬14↪⪝=∃⊬12ABD8","layer":0}]}
{"id":79,"expression_no_base_symbol":"⊙↵-(($2791$⋷$1382$)⩷∴($3749$⩚⊴⇥$2561$))⪢((⪲⇎$4516$)⨪↰⇹($1541$≧⫂∧$2403$))","expression":"⊙↵-((∃⊬AE7⋷∃⊬566)⩷∴(∃⊬EA5⩚⊴⇥∃⊬A01))⪢((⪲⇎∃⊬11A4)⨪↰⇹(∃⊬605≧⫂∧∃⊬963))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19967,"operation_count":8,"complexity_ratio":2495.875,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2791,"base":16},"right_expr":{"type":"numeric_atoms","value":1382,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3749,"base":16},"right_expr":{"type":"numeric_atoms","value":2561,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4516,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1541,"base":16},"right_expr":{"type":"numeric_atoms","value":2403,"base":16}}}}},"used_operators":["oWn0xqSxBt","dWAJyo7jo9","9FxExcQeMw","23Mk6UjR3U","NTOWxs364D","tmPS8pqC7x","XPYlsWDdGa","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2791","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=1382, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-27","layer":3},{"info":"number node, value=3749","layer":4},{"info":"number node, value=2561","layer":4},{"info":"compute binary expreesion, left_input=3749, right_input=2561, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6431","layer":3},{"info":"compute binary expreesion, left_input=-27, right_input=-6431, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12776","layer":2},{"info":"number node, value=4516","layer":4},{"info":"compute unary expreesion, input=4516, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9032","layer":3},{"info":"number node, value=1541","layer":4},{"info":"number node, value=2403","layer":4},{"info":"compute binary expreesion, left_input=1541, right_input=2403, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1930","layer":3},{"info":"compute binary expreesion, left_input=9032, right_input=1930, 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=9032","layer":2},{"info":"compute binary expreesion, left_input=12776, right_input=9032, 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬AE7⋷∃⊬566)⩷∴(∃⊬EA5⩚⊴⇥∃⊬A01))⪢((⪲⇎∃⊬11A4)⨪↰⇹(∃⊬605≧⫂∧∃⊬963))=NaN","reverse_text":"NaN=⊙↵-((∃⊬AE7⋷∃⊬566)⩷∴(∃⊬EA5⩚⊴⇥∃⊬A01))⪢((⪲⇎∃⊬11A4)⨪↰⇹(∃⊬605≧⫂∧∃⊬963))","cot":[{"info":"∃⊬AE7⋷∃⊬566=∃⊬-1B","layer":3},{"info":"∃⊬EA5⩚⊴⇥∃⊬A01=∃⊬-191F","layer":3},{"info":"∃⊬-1B⩷∴∃⊬-191F=∃⊬31E8","layer":2},{"info":"⪲⇎∃⊬11A4=∃⊬2348","layer":3},{"info":"∃⊬605≧⫂∧∃⊬963=∃⊬78A","layer":3},{"info":"∃⊬2348⨪↰⇹∃⊬78A=∃⊬2348","layer":2},{"info":"∃⊬31E8⪢∃⊬2348=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":80,"expression_no_base_symbol":"((⫛⫱⨽$7735$)⨽($2878$∧)⨵⪆($2611$⨵⪆$1168$)↙$4247$≎⊠⪸$1595$)∑⇟⊟($3226$⊉≛↸$2744$⊭↱$1339$≎⊠⪸$1338$%($8255$∑⇟⊟$3123$⩤))","expression":"((⫛⫱⨽∃⊬1E37)⨽(∃⊬B3E∧)⨵⪆(∃⊬A33⨵⪆∃⊬490)↙∃⊬1097≎⊠⪸∃⊬63B)∑⇟⊟(∃⊬C9A⊉≛↸∃⊬AB8⊭↱∃⊬53B≎⊠⪸∃⊬53A%(∃⊬203F∑⇟⊟∃⊬C33⩤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1996,"operation_count":14,"complexity_ratio":142.57142857142858,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7735,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2878,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2611,"base":16},"right_expr":{"type":"numeric_atoms","value":1168,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4247,"base":16},"right_expr":{"type":"numeric_atoms","value":1595,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3226,"base":16},"right_expr":{"type":"numeric_atoms","value":2744,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1339,"base":16},"right_expr":{"type":"numeric_atoms","value":1338,"base":16}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":8255,"base":16},"right_expr":{"type":"numeric_atoms","value":3123,"base":16}}}}},"used_operators":["U7g4x0WXJJ","2DQ55sFlQl","8HhzD0ZcuI","DlLNRPXxWL","z63VuFQld9","yyfyN0ffXY","bJkvcejdHO","k8jYdgA6NY","COABgblf1C","DZ8iAZOCBD","Z2TMIBDE3Q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7735","layer":4},{"info":"compute unary expreesion, input=7735, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2611","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=1168, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4247","layer":4},{"info":"number node, value=1595","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=1595, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1099500","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1099500, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=3226","layer":4},{"info":"number node, value=2744","layer":4},{"info":"compute binary expreesion, left_input=3226, right_input=2744, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6452","layer":3},{"info":"number node, value=1339","layer":4},{"info":"number node, value=1338","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=1338, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=346328","layer":3},{"info":"compute binary expreesion, left_input=6452, right_input=346328, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=679757","layer":2},{"info":"number node, value=8255","layer":4},{"info":"number node, value=3123","layer":4},{"info":"compute binary expreesion, left_input=8255, right_input=3123, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=679757, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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":"((⫛⫱⨽∃⊬1E37)⨽(∃⊬B3E∧)⨵⪆(∃⊬A33⨵⪆∃⊬490)↙∃⊬1097≎⊠⪸∃⊬63B)∑⇟⊟(∃⊬C9A⊉≛↸∃⊬AB8⊭↱∃⊬53B≎⊠⪸∃⊬53A%(∃⊬203F∑⇟⊟∃⊬C33⩤))=NaN","reverse_text":"NaN=((⫛⫱⨽∃⊬1E37)⨽(∃⊬B3E∧)⨵⪆(∃⊬A33⨵⪆∃⊬490)↙∃⊬1097≎⊠⪸∃⊬63B)∑⇟⊟(∃⊬C9A⊉≛↸∃⊬AB8⊭↱∃⊬53B≎⊠⪸∃⊬53A%(∃⊬203F∑⇟⊟∃⊬C33⩤))","cot":[{"info":"⫛⫱⨽∃⊬1E37=∃⊬0","layer":3},{"info":"∃⊬B3E∧=NaN","layer":3},{"info":"∃⊬0⨽NaN=NaN","layer":2},{"info":"∃⊬A33⨵⪆∃⊬490=∃⊬A0","layer":3},{"info":"∃⊬1097≎⊠⪸∃⊬63B=∃⊬10C6EC","layer":3},{"info":"∃⊬A0↙∃⊬10C6EC=NaN","layer":2},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":1},{"info":"∃⊬C9A⊉≛↸∃⊬AB8=∃⊬1934","layer":3},{"info":"∃⊬53B≎⊠⪸∃⊬53A=∃⊬548D8","layer":3},{"info":"∃⊬1934⊭↱∃⊬548D8=∃⊬A5F4D","layer":2},{"info":"∃⊬203F∑⇟⊟∃⊬C33=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"∃⊬A5F4D%NaN=NaN","layer":1},{"info":"∃⊬A0∑⇟⊟NaN=NaN","layer":0}]}
{"id":81,"expression_no_base_symbol":"((($2789$≫≃)+$5427$∼$2661$)⪠⩆⊳)⋥≓≎(($5956$⫥∨⫟$2287$)∼$1095$⊴$1531$⨳⩥⨓($1404$⫸⊐$1718$)∑⇟⊟($1198$+⇶⊼$2497$))","expression":"(((∃⊬AE5≫≃)+∃⊬1533∼∃⊬A65)⪠⩆⊳)⋥≓≎((∃⊬1744⫥∨⫟∃⊬8EF)∼∃⊬447⊴∃⊬5FB⨳⩥⨓(∃⊬57C⫸⊐∃⊬6B6)∑⇟⊟(∃⊬4AE+⇶⊼∃⊬9C1))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1847,"operation_count":12,"complexity_ratio":153.91666666666666,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2789,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5427,"base":16},"right_expr":{"type":"numeric_atoms","value":2661,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5956,"base":16},"right_expr":{"type":"numeric_atoms","value":2287,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1095,"base":16},"right_expr":{"type":"numeric_atoms","value":1531,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1404,"base":16},"right_expr":{"type":"numeric_atoms","value":1718,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1198,"base":16},"right_expr":{"type":"numeric_atoms","value":2497,"base":16}}}}},"used_operators":["Qy55tPpLXF","JLbD19bQDL","W4YGzv6Whe","X99M06cbEe","DyGG3AbaNP","nCS4ZIUYfx","KYD54nUTWz","Nsiff2A1zJ","U7g4x0WXJJ","mqXw5SEYmG","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2789","layer":4},{"info":"compute unary expreesion, input=2789, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6979","layer":3},{"info":"number node, value=5427","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=5427, right_input=2661, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6979, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"number node, value=5956","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=5956, right_input=2287, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=1531, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1404","layer":4},{"info":"number node, value=1718","layer":4},{"info":"compute binary expreesion, left_input=1404, right_input=1718, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6747","layer":3},{"info":"number node, value=1198","layer":4},{"info":"number node, value=2497","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=2497, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6747, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"(((∃⊬AE5≫≃)+∃⊬1533∼∃⊬A65)⪠⩆⊳)⋥≓≎((∃⊬1744⫥∨⫟∃⊬8EF)∼∃⊬447⊴∃⊬5FB⨳⩥⨓(∃⊬57C⫸⊐∃⊬6B6)∑⇟⊟(∃⊬4AE+⇶⊼∃⊬9C1))=∃⊬43","reverse_text":"∃⊬43=(((∃⊬AE5≫≃)+∃⊬1533∼∃⊬A65)⪠⩆⊳)⋥≓≎((∃⊬1744⫥∨⫟∃⊬8EF)∼∃⊬447⊴∃⊬5FB⨳⩥⨓(∃⊬57C⫸⊐∃⊬6B6)∑⇟⊟(∃⊬4AE+⇶⊼∃⊬9C1))","cot":[{"info":"∃⊬AE5≫≃=∃⊬1B43","layer":3},{"info":"∃⊬1533∼∃⊬A65=NaN","layer":3},{"info":"∃⊬1B43+NaN=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"∃⊬1744⫥∨⫟∃⊬8EF=NaN","layer":3},{"info":"∃⊬447⊴∃⊬5FB=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"∃⊬57C⫸⊐∃⊬6B6=∃⊬1A5B","layer":3},{"info":"∃⊬4AE+⇶⊼∃⊬9C1=NaN","layer":3},{"info":"∃⊬1A5B∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":0}]}
{"id":82,"expression_no_base_symbol":"($1186$⨓$8481$≣⋋)⋥≓≎($8944$+⇶⊼$5820$≣⋋)⨸⪁((↔$3313$)⋝⋈⪟$1109$⨓$3434$⊭∹↮)","expression":"(∃⊬4A2⨓∃⊬2121≣⋋)⋥≓≎(∃⊬22F0+⇶⊼∃⊬16BC≣⋋)⨸⪁((↔∃⊬CF1)⋝⋈⪟∃⊬455⨓∃⊬D6A⊭∹↮)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12464,"operation_count":10,"complexity_ratio":1246.4,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1186,"base":16},"right_expr":{"type":"numeric_atoms","value":8481,"base":16}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":8944,"base":16},"right_expr":{"type":"numeric_atoms","value":5820,"base":16}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3313,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1109,"base":16},"right_expr":{"type":"numeric_atoms","value":3434,"base":16}}}}},"used_operators":["g55IO6H4Gj","Qy55tPpLXF","Tcnh7f0tEr","3ViojmjbAp","TpPTUOHfaN","xNBdhnnwKq","2DDjHMKMc0","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","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=1186","layer":4},{"info":"number node, value=8481","layer":4},{"info":"compute binary expreesion, left_input=1186, right_input=8481, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8484","layer":3},{"info":"compute unary expreesion, input=-8484, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=8944","layer":4},{"info":"number node, value=5820","layer":4},{"info":"compute binary expreesion, left_input=8944, right_input=5820, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=3313","layer":4},{"info":"compute unary expreesion, input=3313, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3040","layer":3},{"info":"number node, value=1109","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=3434, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3437","layer":3},{"info":"compute binary expreesion, left_input=-3040, right_input=-3437, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3040","layer":2},{"info":"compute unary expreesion, input=-3040, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3040","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3040, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬4A2⨓∃⊬2121≣⋋)⋥≓≎(∃⊬22F0+⇶⊼∃⊬16BC≣⋋)⨸⪁((↔∃⊬CF1)⋝⋈⪟∃⊬455⨓∃⊬D6A⊭∹↮)=NaN","reverse_text":"NaN=(∃⊬4A2⨓∃⊬2121≣⋋)⋥≓≎(∃⊬22F0+⇶⊼∃⊬16BC≣⋋)⨸⪁((↔∃⊬CF1)⋝⋈⪟∃⊬455⨓∃⊬D6A⊭∹↮)","cot":[{"info":"∃⊬4A2⨓∃⊬2121=∃⊬-2124","layer":3},{"info":"∃⊬-2124≣⋋=∃⊬0","layer":2},{"info":"∃⊬22F0+⇶⊼∃⊬16BC=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":1},{"info":"↔∃⊬CF1=∃⊬-BE0","layer":3},{"info":"∃⊬455⨓∃⊬D6A=∃⊬-D6D","layer":3},{"info":"∃⊬-BE0⋝⋈⪟∃⊬-D6D=∃⊬-BE0","layer":2},{"info":"∃⊬-BE0⊭∹↮=∃⊬-BE0","layer":1},{"info":"NaN⨸⪁∃⊬-BE0=NaN","layer":0}]}
{"id":83,"expression_no_base_symbol":"∂($2030$∼$5255$≧⫂∧(⇁⨣⪵$4341$)≭($4602$⋥≓≎$1291$)∑⇟⊟($3492$⫡⨏$1390$))","expression":"∂(∃⊬7EE∼∃⊬1487≧⫂∧(⇁⨣⪵∃⊬10F5)≭(∃⊬11FA⋥≓≎∃⊬50B)∑⇟⊟(∃⊬DA4⫡⨏∃⊬56E))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57,"operation_count":8,"complexity_ratio":7.125,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2030,"base":16},"right_expr":{"type":"numeric_atoms","value":5255,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4341,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4602,"base":16},"right_expr":{"type":"numeric_atoms","value":1291,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3492,"base":16},"right_expr":{"type":"numeric_atoms","value":1390,"base":16}}}}},"used_operators":["Uaa54Peajs","rxpJgHHUmx","Ph9nP6C5qx","DyGG3AbaNP","inkyxCbjAn","U7g4x0WXJJ","Qy55tPpLXF","QMFrweE19q"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2030","layer":4},{"info":"number node, value=5255","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=5255, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4341","layer":4},{"info":"compute unary expreesion, input=4341, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=4602","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=1291, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1987","layer":3},{"info":"number node, value=3492","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=1390, 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=21023","layer":3},{"info":"compute binary expreesion, left_input=-1987, right_input=21023, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"∂(∃⊬7EE∼∃⊬1487≧⫂∧(⇁⨣⪵∃⊬10F5)≭(∃⊬11FA⋥≓≎∃⊬50B)∑⇟⊟(∃⊬DA4⫡⨏∃⊬56E))=NaN","reverse_text":"NaN=∂(∃⊬7EE∼∃⊬1487≧⫂∧(⇁⨣⪵∃⊬10F5)≭(∃⊬11FA⋥≓≎∃⊬50B)∑⇟⊟(∃⊬DA4⫡⨏∃⊬56E))","cot":[{"info":"∃⊬7EE∼∃⊬1487=NaN","layer":3},{"info":"⇁⨣⪵∃⊬10F5=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"∃⊬11FA⋥≓≎∃⊬50B=∃⊬-7C3","layer":3},{"info":"∃⊬DA4⫡⨏∃⊬56E=∃⊬521F","layer":3},{"info":"∃⊬-7C3∑⇟⊟∃⊬521F=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":84,"expression_no_base_symbol":"⊥(⊄⩳↩(($1674$⋳⪒$1837$)≫≃))","expression":"⊥(⊄⩳↩((∃⊬68A⋳⪒∃⊬72D)≫≃))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18,"operation_count":4,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1674,"base":16},"right_expr":{"type":"numeric_atoms","value":1837,"base":16}}}}},"used_operators":["Q3PJZHRvZv","8w2t5hMYqp","X99M06cbEe","12rbrZMWeM"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1674","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=1674, right_input=1837, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1224","layer":3},{"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":2},{"info":"compute unary expreesion, input=3849, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11547","layer":1},{"info":"compute unary expreesion, input=-11547, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(⊄⩳↩((∃⊬68A⋳⪒∃⊬72D)≫≃))=NaN","reverse_text":"NaN=⊥(⊄⩳↩((∃⊬68A⋳⪒∃⊬72D)≫≃))","cot":[{"info":"∃⊬68A⋳⪒∃⊬72D=∃⊬4C8","layer":3},{"info":"∃⊬4C8≫≃=∃⊬F09","layer":2},{"info":"⊄⩳↩∃⊬F09=∃⊬-2D1B","layer":1},{"info":"⊥∃⊬-2D1B=NaN","layer":0}]}
{"id":85,"expression_no_base_symbol":"($3134$⫥∨⫟$2520$*$4957$⨪↰⇹$1458$)↬($3534$⩨$6892$)⪢($2046$⋝⋈⪟$1382$)⋷((⊥$5513$)∑⇟⊟($2000$⨽$4817$)⪠⩆⊳)","expression":"(∃⊬C3E⫥∨⫟∃⊬9D8*∃⊬135D⨪↰⇹∃⊬5B2)↬(∃⊬DCE⩨∃⊬1AEC)⪢(∃⊬7FE⋝⋈⪟∃⊬566)⋷((⊥∃⊬1589)∑⇟⊟(∃⊬7D0⨽∃⊬12D1)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9185,"operation_count":12,"complexity_ratio":765.4166666666666,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3134,"base":16},"right_expr":{"type":"numeric_atoms","value":2520,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4957,"base":16},"right_expr":{"type":"numeric_atoms","value":1458,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3534,"base":16},"right_expr":{"type":"numeric_atoms","value":6892,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2046,"base":16},"right_expr":{"type":"numeric_atoms","value":1382,"base":16}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5513,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2000,"base":16},"right_expr":{"type":"numeric_atoms","value":4817,"base":16}}}}},"used_operators":["23Mk6UjR3U","B5M0gjZbta","9HNa5Wba9A","KYD54nUTWz","tmPS8pqC7x","dWAJyo7jo9","2DlMacCsIx","2DDjHMKMc0","JLbD19bQDL","U7g4x0WXJJ","Q3PJZHRvZv","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3134","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=2520, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4957","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=4957, right_input=1458, 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=4957","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4957, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3534","layer":4},{"info":"number node, value=6892","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=6892, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=2046","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=2046, right_input=1382, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2046","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=2046, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=5513","layer":4},{"info":"compute unary expreesion, input=5513, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2000","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=4817, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12013137","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12013137, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute 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":"(∃⊬C3E⫥∨⫟∃⊬9D8*∃⊬135D⨪↰⇹∃⊬5B2)↬(∃⊬DCE⩨∃⊬1AEC)⪢(∃⊬7FE⋝⋈⪟∃⊬566)⋷((⊥∃⊬1589)∑⇟⊟(∃⊬7D0⨽∃⊬12D1)⪠⩆⊳)=NaN","reverse_text":"NaN=(∃⊬C3E⫥∨⫟∃⊬9D8*∃⊬135D⨪↰⇹∃⊬5B2)↬(∃⊬DCE⩨∃⊬1AEC)⪢(∃⊬7FE⋝⋈⪟∃⊬566)⋷((⊥∃⊬1589)∑⇟⊟(∃⊬7D0⨽∃⊬12D1)⪠⩆⊳)","cot":[{"info":"∃⊬C3E⫥∨⫟∃⊬9D8=NaN","layer":3},{"info":"∃⊬135D⨪↰⇹∃⊬5B2=∃⊬135D","layer":3},{"info":"NaN*∃⊬135D=NaN","layer":2},{"info":"∃⊬DCE⩨∃⊬1AEC=∃⊬-3","layer":3},{"info":"∃⊬7FE⋝⋈⪟∃⊬566=∃⊬7FE","layer":3},{"info":"∃⊬-3⪢∃⊬7FE=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⊥∃⊬1589=NaN","layer":3},{"info":"∃⊬7D0⨽∃⊬12D1=∃⊬-B74E51","layer":3},{"info":"NaN∑⇟⊟∃⊬-B74E51=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⋷NaN=NaN","layer":0}]}
{"id":86,"expression_no_base_symbol":"($3963$⫡⨏$1366$)↬$2067$⪢$1294$⋳⪒((≤/$1771$)⋳⪒($9048$≋⫹))-(($5914$⫥∨⫟$1673$)≹⇙⪍($2601$*$1272$)⨵⪆(↣≠⋷$5541$)⊴$4287$≹⇙⪍$1075$)","expression":"(∃⊬F7B⫡⨏∃⊬556)↬∃⊬813⪢∃⊬50E⋳⪒((≤/∃⊬6EB)⋳⪒(∃⊬2358≋⫹))-((∃⊬171A⫥∨⫟∃⊬689)≹⇙⪍(∃⊬A29*∃⊬4F8)⨵⪆(↣≠⋷∃⊬15A5)⊴∃⊬10BF≹⇙⪍∃⊬433)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3875,"operation_count":15,"complexity_ratio":258.3333333333333,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3963,"base":16},"right_expr":{"type":"numeric_atoms","value":1366,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2067,"base":16},"right_expr":{"type":"numeric_atoms","value":1294,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1771,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":9048,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5914,"base":16},"right_expr":{"type":"numeric_atoms","value":1673,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2601,"base":16},"right_expr":{"type":"numeric_atoms","value":1272,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5541,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4287,"base":16},"right_expr":{"type":"numeric_atoms","value":1075,"base":16}}}}},"used_operators":["rysDP5nf3Z","12rbrZMWeM","B5M0gjZbta","QMFrweE19q","dWAJyo7jo9","eLAdDNolq6","N41Kp7NANJ","2DQ55sFlQl","AHs5Up7iyr","KYD54nUTWz","9HNa5Wba9A","Nsiff2A1zJ","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3963","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=3963, right_input=1366, 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=23330","layer":3},{"info":"number node, value=2067","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=2067, right_input=1294, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23330, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1771","layer":4},{"info":"compute unary expreesion, input=1771, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1287","layer":3},{"info":"number node, value=9048","layer":4},{"info":"compute unary expreesion, input=9048, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-18096","layer":3},{"info":"compute binary expreesion, left_input=-1287, right_input=-18096, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15235","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=15235, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=5914","layer":4},{"info":"number node, value=1673","layer":4},{"info":"compute binary expreesion, left_input=5914, right_input=1673, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=2601","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=1272, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3308472","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3308472, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5541","layer":4},{"info":"compute unary expreesion, input=5541, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=4287","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=1075, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F7B⫡⨏∃⊬556)↬∃⊬813⪢∃⊬50E⋳⪒((≤/∃⊬6EB)⋳⪒(∃⊬2358≋⫹))-((∃⊬171A⫥∨⫟∃⊬689)≹⇙⪍(∃⊬A29*∃⊬4F8)⨵⪆(↣≠⋷∃⊬15A5)⊴∃⊬10BF≹⇙⪍∃⊬433)=NaN","reverse_text":"NaN=(∃⊬F7B⫡⨏∃⊬556)↬∃⊬813⪢∃⊬50E⋳⪒((≤/∃⊬6EB)⋳⪒(∃⊬2358≋⫹))-((∃⊬171A⫥∨⫟∃⊬689)≹⇙⪍(∃⊬A29*∃⊬4F8)⨵⪆(↣≠⋷∃⊬15A5)⊴∃⊬10BF≹⇙⪍∃⊬433)","cot":[{"info":"∃⊬F7B⫡⨏∃⊬556=∃⊬5B22","layer":3},{"info":"∃⊬813⪢∃⊬50E=NaN","layer":3},{"info":"∃⊬5B22↬NaN=NaN","layer":2},{"info":"≤/∃⊬6EB=∃⊬-507","layer":3},{"info":"∃⊬2358≋⫹=∃⊬-46B0","layer":3},{"info":"∃⊬-507⋳⪒∃⊬-46B0=∃⊬3B83","layer":2},{"info":"NaN⋳⪒∃⊬3B83=NaN","layer":1},{"info":"∃⊬171A⫥∨⫟∃⊬689=NaN","layer":3},{"info":"∃⊬A29*∃⊬4F8=∃⊬327BB8","layer":3},{"info":"NaN≹⇙⪍∃⊬327BB8=NaN","layer":2},{"info":"↣≠⋷∃⊬15A5=NaN","layer":3},{"info":"∃⊬10BF≹⇙⪍∃⊬433=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":1},{"info":"NaN-∃⊬A0=NaN","layer":0}]}
{"id":87,"expression_no_base_symbol":"⨰⫟⨤(($4067$⪨≂$4506$)↺$1104$⩷∴$1028$)∀⇚≩(($4416$⫸⊐$1923$)⪄$8617$⩚⊴⇥$4522$)","expression":"⨰⫟⨤((∃⊬FE3⪨≂∃⊬119A)↺∃⊬450⩷∴∃⊬404)∀⇚≩((∃⊬1140⫸⊐∃⊬783)⪄∃⊬21A9⩚⊴⇥∃⊬11AA)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1003,"operation_count":8,"complexity_ratio":125.375,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4067,"base":16},"right_expr":{"type":"numeric_atoms","value":4506,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1104,"base":16},"right_expr":{"type":"numeric_atoms","value":1028,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4416,"base":16},"right_expr":{"type":"numeric_atoms","value":1923,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8617,"base":16},"right_expr":{"type":"numeric_atoms","value":4522,"base":16}}}}},"used_operators":["Tw270M8GLb","LRNGc0VcxI","7j4O788W3g","sdazOOVcIp","9FxExcQeMw","SUmda5xLS4","mqXw5SEYmG","NTOWxs364D"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","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=4067","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=4506, 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=-776","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1028, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=120","layer":3},{"info":"compute binary expreesion, left_input=-776, right_input=120, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=120","layer":2},{"info":"number node, value=4416","layer":4},{"info":"number node, value=1923","layer":4},{"info":"compute binary expreesion, left_input=4416, right_input=1923, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7567","layer":3},{"info":"number node, value=8617","layer":4},{"info":"number node, value=4522","layer":4},{"info":"compute binary expreesion, left_input=8617, right_input=4522, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-13260","layer":3},{"info":"compute binary expreesion, left_input=7567, right_input=-13260, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1062965","layer":2},{"info":"compute binary expreesion, left_input=120, right_input=-1062965, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤((∃⊬FE3⪨≂∃⊬119A)↺∃⊬450⩷∴∃⊬404)∀⇚≩((∃⊬1140⫸⊐∃⊬783)⪄∃⊬21A9⩚⊴⇥∃⊬11AA)=NaN","reverse_text":"NaN=⨰⫟⨤((∃⊬FE3⪨≂∃⊬119A)↺∃⊬450⩷∴∃⊬404)∀⇚≩((∃⊬1140⫸⊐∃⊬783)⪄∃⊬21A9⩚⊴⇥∃⊬11AA)","cot":[{"info":"∃⊬FE3⪨≂∃⊬119A=∃⊬-308","layer":3},{"info":"∃⊬450⩷∴∃⊬404=∃⊬78","layer":3},{"info":"∃⊬-308↺∃⊬78=∃⊬78","layer":2},{"info":"∃⊬1140⫸⊐∃⊬783=∃⊬1D8F","layer":3},{"info":"∃⊬21A9⩚⊴⇥∃⊬11AA=∃⊬-33CC","layer":3},{"info":"∃⊬1D8F⪄∃⊬-33CC=∃⊬-103835","layer":2},{"info":"∃⊬78∀⇚≩∃⊬-103835=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":88,"expression_no_base_symbol":"(($1591$⊦⊿)⊉≛↸$5760$⫸⊐$1083$)∀⇚≩($2890$+$1720$/(⊄⩳↩$4515$))↛⩡⫤","expression":"((∃⊬637⊦⊿)⊉≛↸∃⊬1680⫸⊐∃⊬43B)∀⇚≩(∃⊬B4A+∃⊬6B8/(⊄⩳↩∃⊬11A3))↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":29551,"operation_count":8,"complexity_ratio":3693.875,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1591,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5760,"base":16},"right_expr":{"type":"numeric_atoms","value":1083,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2890,"base":16},"right_expr":{"type":"numeric_atoms","value":1720,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4515,"base":16}}}}},"used_operators":["FU0Cs4j7VP","LRNGc0VcxI","DZ8iAZOCBD","14qkJME0vr","mqXw5SEYmG","XhwjNDsVaA","W4YGzv6Whe","8w2t5hMYqp"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1591","layer":4},{"info":"compute unary expreesion, input=1591, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4852","layer":3},{"info":"number node, value=5760","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=5760, right_input=1083, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4207","layer":3},{"info":"compute binary expreesion, left_input=-4852, right_input=4207, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4207","layer":2},{"info":"number node, value=2890","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=2890, right_input=1720, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4610","layer":3},{"info":"number node, value=4515","layer":4},{"info":"compute unary expreesion, input=4515, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-13545","layer":3},{"info":"compute binary expreesion, left_input=4610, right_input=-13545, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-4207, right_input=-1, 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 = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬637⊦⊿)⊉≛↸∃⊬1680⫸⊐∃⊬43B)∀⇚≩(∃⊬B4A+∃⊬6B8/(⊄⩳↩∃⊬11A3))↛⩡⫤=NaN","reverse_text":"NaN=((∃⊬637⊦⊿)⊉≛↸∃⊬1680⫸⊐∃⊬43B)∀⇚≩(∃⊬B4A+∃⊬6B8/(⊄⩳↩∃⊬11A3))↛⩡⫤","cot":[{"info":"∃⊬637⊦⊿=∃⊬-12F4","layer":3},{"info":"∃⊬1680⫸⊐∃⊬43B=∃⊬106F","layer":3},{"info":"∃⊬-12F4⊉≛↸∃⊬106F=∃⊬-106F","layer":2},{"info":"∃⊬B4A+∃⊬6B8=∃⊬1202","layer":3},{"info":"⊄⩳↩∃⊬11A3=∃⊬-34E9","layer":3},{"info":"∃⊬1202/∃⊬-34E9=∃⊬-1","layer":2},{"info":"∃⊬-106F∀⇚≩∃⊬-1=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":89,"expression_no_base_symbol":"(($1397$*$6566$-(≉$3765$))⊉≛↸((⪲⇎$4489$)%$1814$≎⊠⪸$4240$))∸","expression":"((∃⊬575*∃⊬19A6-(≉∃⊬EB5))⊉≛↸((⪲⇎∃⊬1189)%∃⊬716≎⊠⪸∃⊬1090))∸","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1852,"operation_count":8,"complexity_ratio":231.5,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1397,"base":16},"right_expr":{"type":"numeric_atoms","value":6566,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3765,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4489,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1814,"base":16},"right_expr":{"type":"numeric_atoms","value":4240,"base":16}}}}},"used_operators":["o20kRiQErp","DZ8iAZOCBD","rysDP5nf3Z","9HNa5Wba9A","e1ybzncUwg","k8jYdgA6NY","XPYlsWDdGa","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1397","layer":4},{"info":"number node, value=6566","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=6566, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9172702","layer":3},{"info":"number node, value=3765","layer":4},{"info":"compute unary expreesion, input=3765, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4296","layer":3},{"info":"compute binary expreesion, left_input=9172702, right_input=4296, op_id = rysDP5nf3Z binary_op_definition= 'None', output=9168406","layer":2},{"info":"number node, value=4489","layer":4},{"info":"compute unary expreesion, input=4489, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8978","layer":3},{"info":"number node, value=1814","layer":4},{"info":"number node, value=4240","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=4240, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=469353","layer":3},{"info":"compute binary expreesion, left_input=8978, right_input=469353, op_id = k8jYdgA6NY binary_op_definition= 'None', output=8978","layer":2},{"info":"compute binary expreesion, left_input=9168406, right_input=8978, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18336812","layer":1},{"info":"compute unary expreesion, input=18336812, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":16,"result_base":16,"text":"((∃⊬575*∃⊬19A6-(≉∃⊬EB5))⊉≛↸((⪲⇎∃⊬1189)%∃⊬716≎⊠⪸∃⊬1090))∸=∃⊬B1","reverse_text":"∃⊬B1=((∃⊬575*∃⊬19A6-(≉∃⊬EB5))⊉≛↸((⪲⇎∃⊬1189)%∃⊬716≎⊠⪸∃⊬1090))∸","cot":[{"info":"∃⊬575*∃⊬19A6=∃⊬8BF6DE","layer":3},{"info":"≉∃⊬EB5=∃⊬10C8","layer":3},{"info":"∃⊬8BF6DE-∃⊬10C8=∃⊬8BE616","layer":2},{"info":"⪲⇎∃⊬1189=∃⊬2312","layer":3},{"info":"∃⊬716≎⊠⪸∃⊬1090=∃⊬72969","layer":3},{"info":"∃⊬2312%∃⊬72969=∃⊬2312","layer":2},{"info":"∃⊬8BE616⊉≛↸∃⊬2312=∃⊬117CC2C","layer":1},{"info":"∃⊬117CC2C∸=∃⊬B1","layer":0}]}
{"id":90,"expression_no_base_symbol":"↔($4636$⨸⪁$4452$⊉≛↸$1068$⨰$3437$↪⪝)","expression":"↔(∃⊬121C⨸⪁∃⊬1164⊉≛↸∃⊬42C⨰∃⊬D6D↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":718,"operation_count":5,"complexity_ratio":143.6,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4636,"base":16},"right_expr":{"type":"numeric_atoms","value":4452,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1068,"base":16},"right_expr":{"type":"numeric_atoms","value":3437,"base":16}}}}},"used_operators":["ruOEQAzv1W","l07mrZUIn9","DZ8iAZOCBD","g55IO6H4Gj","eewbuw0ToL"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4636","layer":4},{"info":"number node, value=4452","layer":4},{"info":"compute binary expreesion, left_input=4636, right_input=4452, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18176","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=3437","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=3437, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2359","layer":3},{"info":"compute binary expreesion, left_input=18176, right_input=-2359, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=36352","layer":2},{"info":"compute unary expreesion, input=36352, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↔(∃⊬121C⨸⪁∃⊬1164⊉≛↸∃⊬42C⨰∃⊬D6D↪⪝)=NaN","reverse_text":"NaN=↔(∃⊬121C⨸⪁∃⊬1164⊉≛↸∃⊬42C⨰∃⊬D6D↪⪝)","cot":[{"info":"∃⊬121C⨸⪁∃⊬1164=∃⊬4700","layer":3},{"info":"∃⊬42C⨰∃⊬D6D=∃⊬-937","layer":3},{"info":"∃⊬4700⊉≛↸∃⊬-937=∃⊬8E00","layer":2},{"info":"∃⊬8E00↪⪝=Inf","layer":1},{"info":"↔Inf=NaN","layer":0}]}
{"id":91,"expression_no_base_symbol":"⋗⩬⋾(↽≂$1446$≭$6981$⩚⊴⇥($7249$⨎$4469$))","expression":"⋗⩬⋾(↽≂∃⊬5A6≭∃⊬1B45⩚⊴⇥(∃⊬1C51⨎∃⊬1175))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":11,"operation_count":5,"complexity_ratio":2.2,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1446,"base":16},"right_expr":{"type":"numeric_atoms","value":6981,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7249,"base":16},"right_expr":{"type":"numeric_atoms","value":4469,"base":16}}}}},"used_operators":["DpFCA1CohY","u6S6b8DprG","NTOWxs364D","rxpJgHHUmx","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1446","layer":4},{"info":"number node, value=6981","layer":4},{"info":"compute binary expreesion, left_input=1446, right_input=6981, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7249","layer":4},{"info":"number node, value=4469","layer":4},{"info":"compute binary expreesion, left_input=7249, right_input=4469, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4469","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4469, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"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":"⋗⩬⋾(↽≂∃⊬5A6≭∃⊬1B45⩚⊴⇥(∃⊬1C51⨎∃⊬1175))=NaN","reverse_text":"NaN=⋗⩬⋾(↽≂∃⊬5A6≭∃⊬1B45⩚⊴⇥(∃⊬1C51⨎∃⊬1175))","cot":[{"info":"∃⊬5A6≭∃⊬1B45=NaN","layer":3},{"info":"∃⊬1C51⨎∃⊬1175=∃⊬1175","layer":3},{"info":"NaN⩚⊴⇥∃⊬1175=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":92,"expression_no_base_symbol":"(⫓⪴(⫓⪴$5005$⨟⋌⩍$2111$))≎⊠⪸(⨈⫕(⩦⩻⨪($5740$⩨$5081$)))","expression":"(⫓⪴(⫓⪴∃⊬138D⨟⋌⩍∃⊬83F))≎⊠⪸(⨈⫕(⩦⩻⨪(∃⊬166C⩨∃⊬13D9)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":408,"operation_count":7,"complexity_ratio":58.285714285714285,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5005,"base":16},"right_expr":{"type":"numeric_atoms","value":2111,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5740,"base":16},"right_expr":{"type":"numeric_atoms","value":5081,"base":16}}}}},"used_operators":["bJkvcejdHO","eLxqMNBOBk","rGHVDoGpnC","megm06wKyl","2td37pGCOC","2DlMacCsIx"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","Tcnh7f0tEr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5005","layer":4},{"info":"number node, value=2111","layer":4},{"info":"compute binary expreesion, left_input=5005, right_input=2111, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=5740","layer":4},{"info":"number node, value=5081","layer":4},{"info":"compute binary expreesion, left_input=5740, right_input=5081, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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":"(⫓⪴(⫓⪴∃⊬138D⨟⋌⩍∃⊬83F))≎⊠⪸(⨈⫕(⩦⩻⨪(∃⊬166C⩨∃⊬13D9)))=NaN","reverse_text":"NaN=(⫓⪴(⫓⪴∃⊬138D⨟⋌⩍∃⊬83F))≎⊠⪸(⨈⫕(⩦⩻⨪(∃⊬166C⩨∃⊬13D9)))","cot":[{"info":"∃⊬138D⨟⋌⩍∃⊬83F=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"∃⊬166C⩨∃⊬13D9=∃⊬0","layer":3},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":2},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":1},{"info":"NaN≎⊠⪸∃⊬-15=NaN","layer":0}]}
{"id":93,"expression_no_base_symbol":"$3590$*$4189$⨵⪆$1731$⇷$1359$⪨≂(⨑⩽⪐($2000$↺$1799$))⪨≂(⨞⊢$4617$∼$5537$)⨓(($8892$⪒$4764$)+⇶⊼($1987$⊦⊿))","expression":"∃⊬E06*∃⊬105D⨵⪆∃⊬6C3⇷∃⊬54F⪨≂(⨑⩽⪐(∃⊬7D0↺∃⊬707))⪨≂(⨞⊢∃⊬1209∼∃⊬15A1)⨓((∃⊬22BC⪒∃⊬129C)+⇶⊼(∃⊬7C3⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27958,"operation_count":13,"complexity_ratio":2150.6153846153848,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3590,"base":16},"right_expr":{"type":"numeric_atoms","value":4189,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1731,"base":16},"right_expr":{"type":"numeric_atoms","value":1359,"base":16}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2000,"base":16},"right_expr":{"type":"numeric_atoms","value":1799,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4617,"base":16},"right_expr":{"type":"numeric_atoms","value":5537,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8892,"base":16},"right_expr":{"type":"numeric_atoms","value":4764,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1987,"base":16}}}}},"used_operators":["sdazOOVcIp","2DQ55sFlQl","9HNa5Wba9A","mp7IySMOzn","AF7qkfDlqP","7j4O788W3g","3ViojmjbAp","xUOZtlo3hN","DyGG3AbaNP","TpPTUOHfaN","f6k1SAg4EE","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3590","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=3590, right_input=4189, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15038510","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=1359","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=1359, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2718","layer":3},{"info":"compute binary expreesion, left_input=15038510, right_input=2718, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=2000","layer":4},{"info":"number node, value=1799","layer":4},{"info":"compute binary expreesion, left_input=2000, right_input=1799, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1799","layer":3},{"info":"compute unary expreesion, input=1799, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1526","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1526, 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=3474","layer":1},{"info":"number node, value=4617","layer":4},{"info":"number node, value=5537","layer":4},{"info":"compute binary expreesion, left_input=4617, right_input=5537, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=8892","layer":4},{"info":"number node, value=4764","layer":4},{"info":"compute binary expreesion, left_input=8892, right_input=4764, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13656","layer":3},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6040","layer":3},{"info":"compute binary expreesion, left_input=-13656, right_input=-6040, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3474, 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":"∃⊬E06*∃⊬105D⨵⪆∃⊬6C3⇷∃⊬54F⪨≂(⨑⩽⪐(∃⊬7D0↺∃⊬707))⪨≂(⨞⊢∃⊬1209∼∃⊬15A1)⨓((∃⊬22BC⪒∃⊬129C)+⇶⊼(∃⊬7C3⊦⊿))=NaN","reverse_text":"NaN=∃⊬E06*∃⊬105D⨵⪆∃⊬6C3⇷∃⊬54F⪨≂(⨑⩽⪐(∃⊬7D0↺∃⊬707))⪨≂(⨞⊢∃⊬1209∼∃⊬15A1)⨓((∃⊬22BC⪒∃⊬129C)+⇶⊼(∃⊬7C3⊦⊿))","cot":[{"info":"∃⊬E06*∃⊬105D=∃⊬E5782E","layer":3},{"info":"∃⊬6C3⇷∃⊬54F=∃⊬A9E","layer":3},{"info":"∃⊬E5782E⨵⪆∃⊬A9E=∃⊬A0","layer":2},{"info":"∃⊬7D0↺∃⊬707=∃⊬707","layer":3},{"info":"⨑⩽⪐∃⊬707=∃⊬-5F6","layer":2},{"info":"∃⊬A0⪨≂∃⊬-5F6=∃⊬D92","layer":1},{"info":"∃⊬1209∼∃⊬15A1=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"∃⊬22BC⪒∃⊬129C=∃⊬-3558","layer":3},{"info":"∃⊬7C3⊦⊿=∃⊬-1798","layer":3},{"info":"∃⊬-3558+⇶⊼∃⊬-1798=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"∃⊬D92⪨≂NaN=NaN","layer":0}]}
{"id":94,"expression_no_base_symbol":"(($6672$⨳⩥⨓$2288$)∀⇚≩($7547$+$3826$)⨵⪆($2693$⪄$2810$)↺(+⊝⨔$1493$))⪘⫢((($2686$⪨≂$7312$)∲⫓$1575$⨰$1028$)⊉≛↸(($2349$%$2428$)⪒$5600$⫸⊐$8817$))","expression":"((∃⊬1A10⨳⩥⨓∃⊬8F0)∀⇚≩(∃⊬1D7B+∃⊬EF2)⨵⪆(∃⊬A85⪄∃⊬AFA)↺(+⊝⨔∃⊬5D5))⪘⫢(((∃⊬A7E⪨≂∃⊬1C90)∲⫓∃⊬627⨰∃⊬404)⊉≛↸((∃⊬92D%∃⊬97C)⪒∃⊬15E0⫸⊐∃⊬2271))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30889,"operation_count":15,"complexity_ratio":2059.266666666667,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6672,"base":16},"right_expr":{"type":"numeric_atoms","value":2288,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7547,"base":16},"right_expr":{"type":"numeric_atoms","value":3826,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2693,"base":16},"right_expr":{"type":"numeric_atoms","value":2810,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1493,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2686,"base":16},"right_expr":{"type":"numeric_atoms","value":7312,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1575,"base":16},"right_expr":{"type":"numeric_atoms","value":1028,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2349,"base":16},"right_expr":{"type":"numeric_atoms","value":2428,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5600,"base":16},"right_expr":{"type":"numeric_atoms","value":8817,"base":16}}}}},"used_operators":["oacrs7FA3X","2DQ55sFlQl","LRNGc0VcxI","nCS4ZIUYfx","W4YGzv6Whe","7j4O788W3g","SUmda5xLS4","DhbWaqg5eL","DZ8iAZOCBD","i8ToyICDmI","sdazOOVcIp","eewbuw0ToL","f6k1SAg4EE","k8jYdgA6NY","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬C4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6672","layer":4},{"info":"number node, value=2288","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=2288, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4384","layer":3},{"info":"number node, value=7547","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=7547, right_input=3826, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11373","layer":3},{"info":"compute binary expreesion, left_input=-4384, right_input=11373, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2693","layer":4},{"info":"number node, value=2810","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2810, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-405893","layer":3},{"info":"number node, value=1493","layer":4},{"info":"compute unary expreesion, input=1493, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-405893, right_input=1522, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2686","layer":4},{"info":"number node, value=7312","layer":4},{"info":"compute binary expreesion, left_input=2686, right_input=7312, 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=-9150","layer":3},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1028, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=557","layer":3},{"info":"compute binary expreesion, left_input=-9150, right_input=557, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-9150","layer":2},{"info":"number node, value=2349","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=2349, right_input=2428, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2349","layer":3},{"info":"number node, value=5600","layer":4},{"info":"number node, value=8817","layer":4},{"info":"compute binary expreesion, left_input=5600, right_input=8817, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=35143","layer":3},{"info":"compute binary expreesion, left_input=2349, right_input=35143, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-37492","layer":2},{"info":"compute binary expreesion, left_input=-9150, right_input=-37492, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=37492","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=37492, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=196","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1A10⨳⩥⨓∃⊬8F0)∀⇚≩(∃⊬1D7B+∃⊬EF2)⨵⪆(∃⊬A85⪄∃⊬AFA)↺(+⊝⨔∃⊬5D5))⪘⫢(((∃⊬A7E⪨≂∃⊬1C90)∲⫓∃⊬627⨰∃⊬404)⊉≛↸((∃⊬92D%∃⊬97C)⪒∃⊬15E0⫸⊐∃⊬2271))=∃⊬C4","reverse_text":"∃⊬C4=((∃⊬1A10⨳⩥⨓∃⊬8F0)∀⇚≩(∃⊬1D7B+∃⊬EF2)⨵⪆(∃⊬A85⪄∃⊬AFA)↺(+⊝⨔∃⊬5D5))⪘⫢(((∃⊬A7E⪨≂∃⊬1C90)∲⫓∃⊬627⨰∃⊬404)⊉≛↸((∃⊬92D%∃⊬97C)⪒∃⊬15E0⫸⊐∃⊬2271))","cot":[{"info":"∃⊬1A10⨳⩥⨓∃⊬8F0=∃⊬-1120","layer":3},{"info":"∃⊬1D7B+∃⊬EF2=∃⊬2C6D","layer":3},{"info":"∃⊬-1120∀⇚≩∃⊬2C6D=NaN","layer":2},{"info":"∃⊬A85⪄∃⊬AFA=∃⊬-63185","layer":3},{"info":"+⊝⨔∃⊬5D5=∃⊬5F2","layer":3},{"info":"∃⊬-63185↺∃⊬5F2=∃⊬5F2","layer":2},{"info":"NaN⨵⪆∃⊬5F2=∃⊬A0","layer":1},{"info":"∃⊬A7E⪨≂∃⊬1C90=∃⊬-23BE","layer":3},{"info":"∃⊬627⨰∃⊬404=∃⊬22D","layer":3},{"info":"∃⊬-23BE∲⫓∃⊬22D=∃⊬-23BE","layer":2},{"info":"∃⊬92D%∃⊬97C=∃⊬92D","layer":3},{"info":"∃⊬15E0⫸⊐∃⊬2271=∃⊬8947","layer":3},{"info":"∃⊬92D⪒∃⊬8947=∃⊬-9274","layer":2},{"info":"∃⊬-23BE⊉≛↸∃⊬-9274=∃⊬9274","layer":1},{"info":"∃⊬A0⪘⫢∃⊬9274=∃⊬C4","layer":0}]}
{"id":95,"expression_no_base_symbol":"(⨵≀≌$1813$↬$4889$↺$1052$+⇶⊼$2918$)∼((-$4345$⪒$1555$)-(⨈⫕(⫓⪴$6029$)))","expression":"(⨵≀≌∃⊬715↬∃⊬1319↺∃⊬41C+⇶⊼∃⊬B66)∼((-∃⊬10F9⪒∃⊬613)-(⨈⫕(⫓⪴∃⊬178D)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6430,"operation_count":10,"complexity_ratio":643.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1813,"base":16},"right_expr":{"type":"numeric_atoms","value":4889,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1052,"base":16},"right_expr":{"type":"numeric_atoms","value":2918,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4345,"base":16},"right_expr":{"type":"numeric_atoms","value":1555,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6029,"base":16}}}}},"used_operators":["DyGG3AbaNP","srAu1WTS94","7j4O788W3g","B5M0gjZbta","TpPTUOHfaN","rysDP5nf3Z","t8gj7n24qd","f6k1SAg4EE","megm06wKyl","eLxqMNBOBk"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1813","layer":4},{"info":"number node, value=4889","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=4889, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1052","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=2918, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=4345","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=4345, right_input=1555, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5900","layer":3},{"info":"compute unary expreesion, input=-5900, op_id = t8gj7n24qd, unary_op_definition = 'None', output=5900","layer":2},{"info":"number node, value=6029","layer":4},{"info":"compute unary expreesion, input=6029, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=36348841","layer":3},{"info":"compute unary expreesion, input=36348841, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=5900, right_input=-21, op_id = rysDP5nf3Z binary_op_definition= 'None', output=5921","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5921, 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":"(⨵≀≌∃⊬715↬∃⊬1319↺∃⊬41C+⇶⊼∃⊬B66)∼((-∃⊬10F9⪒∃⊬613)-(⨈⫕(⫓⪴∃⊬178D)))=NaN","reverse_text":"NaN=(⨵≀≌∃⊬715↬∃⊬1319↺∃⊬41C+⇶⊼∃⊬B66)∼((-∃⊬10F9⪒∃⊬613)-(⨈⫕(⫓⪴∃⊬178D)))","cot":[{"info":"∃⊬715↬∃⊬1319=NaN","layer":3},{"info":"∃⊬41C+⇶⊼∃⊬B66=NaN","layer":3},{"info":"NaN↺NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"∃⊬10F9⪒∃⊬613=∃⊬-170C","layer":3},{"info":"-∃⊬-170C=∃⊬170C","layer":2},{"info":"⫓⪴∃⊬178D=∃⊬22AA3A9","layer":3},{"info":"⨈⫕∃⊬22AA3A9=∃⊬-15","layer":2},{"info":"∃⊬170C-∃⊬-15=∃⊬1721","layer":1},{"info":"NaN∼∃⊬1721=NaN","layer":0}]}
{"id":96,"expression_no_base_symbol":"(↩($5725$⨐⩸⫘$1572$%$1068$≹⇙⪍$1134$))⋓(($1679$⊭∹↮)↬($7412$⩷∴$1266$)∲⫓($3882$⫸⊐$1265$)⊴($1013$⨎$3811$))","expression":"(↩(∃⊬165D⨐⩸⫘∃⊬624%∃⊬42C≹⇙⪍∃⊬46E))⋓((∃⊬68F⊭∹↮)↬(∃⊬1CF4⩷∴∃⊬4F2)∲⫓(∃⊬F2A⫸⊐∃⊬4F1)⊴(∃⊬3F5⨎∃⊬EE3))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6225,"operation_count":12,"complexity_ratio":518.75,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5725,"base":16},"right_expr":{"type":"numeric_atoms","value":1572,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1068,"base":16},"right_expr":{"type":"numeric_atoms","value":1134,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1679,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7412,"base":16},"right_expr":{"type":"numeric_atoms","value":1266,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3882,"base":16},"right_expr":{"type":"numeric_atoms","value":1265,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1013,"base":16},"right_expr":{"type":"numeric_atoms","value":3811,"base":16}}}}},"used_operators":["T2fj7uvVaJ","jLgFTUHLKL","k8jYdgA6NY","fu6greOZ01","AHs5Up7iyr","i8ToyICDmI","B5M0gjZbta","xNBdhnnwKq","9FxExcQeMw","Nsiff2A1zJ","mqXw5SEYmG","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5725","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=5725, right_input=1572, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1134, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1679","layer":4},{"info":"compute unary expreesion, input=1679, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3358","layer":3},{"info":"number node, value=7412","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=7412, right_input=1266, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=12260","layer":3},{"info":"compute binary expreesion, left_input=3358, right_input=12260, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3882","layer":4},{"info":"number node, value=1265","layer":4},{"info":"compute binary expreesion, left_input=3882, right_input=1265, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4935","layer":3},{"info":"number node, value=1013","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=3811, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3811","layer":3},{"info":"compute binary expreesion, left_input=4935, right_input=3811, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(↩(∃⊬165D⨐⩸⫘∃⊬624%∃⊬42C≹⇙⪍∃⊬46E))⋓((∃⊬68F⊭∹↮)↬(∃⊬1CF4⩷∴∃⊬4F2)∲⫓(∃⊬F2A⫸⊐∃⊬4F1)⊴(∃⊬3F5⨎∃⊬EE3))=NaN","reverse_text":"NaN=(↩(∃⊬165D⨐⩸⫘∃⊬624%∃⊬42C≹⇙⪍∃⊬46E))⋓((∃⊬68F⊭∹↮)↬(∃⊬1CF4⩷∴∃⊬4F2)∲⫓(∃⊬F2A⫸⊐∃⊬4F1)⊴(∃⊬3F5⨎∃⊬EE3))","cot":[{"info":"∃⊬165D⨐⩸⫘∃⊬624=NaN","layer":3},{"info":"∃⊬42C≹⇙⪍∃⊬46E=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬68F⊭∹↮=∃⊬D1E","layer":3},{"info":"∃⊬1CF4⩷∴∃⊬4F2=∃⊬2FE4","layer":3},{"info":"∃⊬D1E↬∃⊬2FE4=NaN","layer":2},{"info":"∃⊬F2A⫸⊐∃⊬4F1=∃⊬1347","layer":3},{"info":"∃⊬3F5⨎∃⊬EE3=∃⊬EE3","layer":3},{"info":"∃⊬1347⊴∃⊬EE3=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":97,"expression_no_base_symbol":"(($5077$⊠≄⫣)⫡⨏$2089$⨎$2246$)∼(↯⪼($1823$⪘⫢$1262$))≋⫹","expression":"((∃⊬13D5⊠≄⫣)⫡⨏∃⊬829⨎∃⊬8C6)∼(↯⪼(∃⊬71F⪘⫢∃⊬4EE))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":267,"operation_count":7,"complexity_ratio":38.142857142857146,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5077,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2089,"base":16},"right_expr":{"type":"numeric_atoms","value":2246,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1823,"base":16},"right_expr":{"type":"numeric_atoms","value":1262,"base":16}}}}},"used_operators":["N41Kp7NANJ","DyGG3AbaNP","QMFrweE19q","DIvbN7qnHd","rJVOvQCfKK","8jW3W4yZS5","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5077","layer":4},{"info":"compute unary expreesion, input=5077, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2089","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=2089, right_input=2246, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2246","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2246, 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=5275","layer":2},{"info":"number node, value=1823","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1823, right_input=1262, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3522","layer":3},{"info":"compute unary expreesion, input=3522, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=5275, right_input=-21, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"((∃⊬13D5⊠≄⫣)⫡⨏∃⊬829⨎∃⊬8C6)∼(↯⪼(∃⊬71F⪘⫢∃⊬4EE))≋⫹=∃⊬0","reverse_text":"∃⊬0=((∃⊬13D5⊠≄⫣)⫡⨏∃⊬829⨎∃⊬8C6)∼(↯⪼(∃⊬71F⪘⫢∃⊬4EE))≋⫹","cot":[{"info":"∃⊬13D5⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬829⨎∃⊬8C6=∃⊬8C6","layer":3},{"info":"∃⊬0⫡⨏∃⊬8C6=∃⊬149B","layer":2},{"info":"∃⊬71F⪘⫢∃⊬4EE=∃⊬DC2","layer":3},{"info":"↯⪼∃⊬DC2=∃⊬-15","layer":2},{"info":"∃⊬149B∼∃⊬-15=∃⊬0","layer":1},{"info":"∃⊬0≋⫹=∃⊬0","layer":0}]}
{"id":98,"expression_no_base_symbol":"(⨞⊢$1262$∼$1353$⋥≓≎($1229$⪄$1765$))⇋≉","expression":"(⨞⊢∃⊬4EE∼∃⊬549⋥≓≎(∃⊬4CD⪄∃⊬6E5))⇋≉","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":128,"operation_count":5,"complexity_ratio":25.6,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1262,"base":16},"right_expr":{"type":"numeric_atoms","value":1353,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1229,"base":16},"right_expr":{"type":"numeric_atoms","value":1765,"base":16}}}}},"used_operators":["XIabStNQrY","xUOZtlo3hN","Qy55tPpLXF","DyGG3AbaNP","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-244","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1262","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1353, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=1765, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-185041","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-185041, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-241","layer":1},{"info":"compute unary expreesion, input=-241, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-580","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢∃⊬4EE∼∃⊬549⋥≓≎(∃⊬4CD⪄∃⊬6E5))⇋≉=∃⊬-244","reverse_text":"∃⊬-244=(⨞⊢∃⊬4EE∼∃⊬549⋥≓≎(∃⊬4CD⪄∃⊬6E5))⇋≉","cot":[{"info":"∃⊬4EE∼∃⊬549=NaN","layer":3},{"info":"∃⊬4CD⪄∃⊬6E5=∃⊬-2D2D1","layer":3},{"info":"NaN⋥≓≎∃⊬-2D2D1=∃⊬43","layer":2},{"info":"⨞⊢∃⊬43=∃⊬-F1","layer":1},{"info":"∃⊬-F1⇋≉=∃⊬-244","layer":0}]}
{"id":99,"expression_no_base_symbol":"⫓⪴(($1068$⪛$2628$⊪)∲⫓($4572$↛⩡⫤)⪘⫢($1483$⪒$9177$))","expression":"⫓⪴((∃⊬42C⪛∃⊬A44⊪)∲⫓(∃⊬11DC↛⩡⫤)⪘⫢(∃⊬5CB⪒∃⊬23D9))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":13901,"operation_count":7,"complexity_ratio":1985.857142857143,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1068,"base":16},"right_expr":{"type":"numeric_atoms","value":2628,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4572,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1483,"base":16},"right_expr":{"type":"numeric_atoms","value":9177,"base":16}}}}},"used_operators":["eLxqMNBOBk","i8ToyICDmI","zVYPLywUTj","uFcxV4UQCh","oacrs7FA3X","FU0Cs4j7VP","f6k1SAg4EE"],"dependent_operators":["9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1068","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=2628, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1068","layer":3},{"info":"compute unary expreesion, input=1068, 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":2},{"info":"number node, value=4572","layer":4},{"info":"compute unary expreesion, input=4572, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-686461","layer":3},{"info":"number node, value=1483","layer":4},{"info":"number node, value=9177","layer":4},{"info":"compute binary expreesion, left_input=1483, right_input=9177, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10660","layer":3},{"info":"compute binary expreesion, left_input=-686461, right_input=-10660, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, 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 = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⫓⪴((∃⊬42C⪛∃⊬A44⊪)∲⫓(∃⊬11DC↛⩡⫤)⪘⫢(∃⊬5CB⪒∃⊬23D9))=∃⊬0","reverse_text":"∃⊬0=⫓⪴((∃⊬42C⪛∃⊬A44⊪)∲⫓(∃⊬11DC↛⩡⫤)⪘⫢(∃⊬5CB⪒∃⊬23D9))","cot":[{"info":"∃⊬42C⪛∃⊬A44=∃⊬42C","layer":3},{"info":"∃⊬42C⊪=∃⊬0","layer":2},{"info":"∃⊬11DC↛⩡⫤=∃⊬-A797D","layer":3},{"info":"∃⊬5CB⪒∃⊬23D9=∃⊬-29A4","layer":3},{"info":"∃⊬-A797D⪘⫢∃⊬-29A4=∃⊬-1","layer":2},{"info":"∃⊬0∲⫓∃⊬-1=∃⊬0","layer":1},{"info":"⫓⪴∃⊬0=∃⊬0","layer":0}]}
{"id":100,"expression_no_base_symbol":"(($1328$∑⇟⊟$1806$⫥∨⫟($6486$*$2300$))+⇶⊼($2839$⊉≛↸$1375$⊉≛↸$1677$⪄$5450$))⨪↰⇹((⨑⩽⪐$6065$⪮%⊝$2861$)⊠≄⫣)","expression":"((∃⊬530∑⇟⊟∃⊬70E⫥∨⫟(∃⊬1956*∃⊬8FC))+⇶⊼(∃⊬B17⊉≛↸∃⊬55F⊉≛↸∃⊬68D⪄∃⊬154A))⨪↰⇹((⨑⩽⪐∃⊬17B1⪮%⊝∃⊬B2D)⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2572,"operation_count":11,"complexity_ratio":233.8181818181818,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1328,"base":16},"right_expr":{"type":"numeric_atoms","value":1806,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6486,"base":16},"right_expr":{"type":"numeric_atoms","value":2300,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2839,"base":16},"right_expr":{"type":"numeric_atoms","value":1375,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1677,"base":16},"right_expr":{"type":"numeric_atoms","value":5450,"base":16}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6065,"base":16},"right_expr":{"type":"numeric_atoms","value":2861,"base":16}}}}},"used_operators":["tmPS8pqC7x","TpPTUOHfaN","KYD54nUTWz","U7g4x0WXJJ","9HNa5Wba9A","DZ8iAZOCBD","SUmda5xLS4","DIvbN7qnHd","AF7qkfDlqP","IWmyXbctLI"],"dependent_operators":["rJVOvQCfKK","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1328","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1328, right_input=1806, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=6486","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=6486, right_input=2300, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14917800","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=14917800, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=2839","layer":4},{"info":"number node, value=1375","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1375, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5678","layer":3},{"info":"number node, value=1677","layer":4},{"info":"number node, value=5450","layer":4},{"info":"compute binary expreesion, left_input=1677, right_input=5450, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-266085","layer":3},{"info":"compute binary expreesion, left_input=5678, right_input=-266085, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11356","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11356, 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=6065","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=6065, right_input=2861, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12446","layer":3},{"info":"compute unary expreesion, input=12446, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-12173","layer":2},{"info":"compute unary expreesion, input=-12173, 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 = 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":"((∃⊬530∑⇟⊟∃⊬70E⫥∨⫟(∃⊬1956*∃⊬8FC))+⇶⊼(∃⊬B17⊉≛↸∃⊬55F⊉≛↸∃⊬68D⪄∃⊬154A))⨪↰⇹((⨑⩽⪐∃⊬17B1⪮%⊝∃⊬B2D)⊠≄⫣)=NaN","reverse_text":"NaN=((∃⊬530∑⇟⊟∃⊬70E⫥∨⫟(∃⊬1956*∃⊬8FC))+⇶⊼(∃⊬B17⊉≛↸∃⊬55F⊉≛↸∃⊬68D⪄∃⊬154A))⨪↰⇹((⨑⩽⪐∃⊬17B1⪮%⊝∃⊬B2D)⊠≄⫣)","cot":[{"info":"∃⊬530∑⇟⊟∃⊬70E=NaN","layer":3},{"info":"∃⊬1956*∃⊬8FC=∃⊬E3A0A8","layer":3},{"info":"NaN⫥∨⫟∃⊬E3A0A8=NaN","layer":2},{"info":"∃⊬B17⊉≛↸∃⊬55F=∃⊬162E","layer":3},{"info":"∃⊬68D⪄∃⊬154A=∃⊬-40F65","layer":3},{"info":"∃⊬162E⊉≛↸∃⊬-40F65=∃⊬2C5C","layer":2},{"info":"NaN+⇶⊼∃⊬2C5C=NaN","layer":1},{"info":"∃⊬17B1⪮%⊝∃⊬B2D=∃⊬309E","layer":3},{"info":"⨑⩽⪐∃⊬309E=∃⊬-2F8D","layer":2},{"info":"∃⊬-2F8D⊠≄⫣=∃⊬0","layer":1},{"info":"NaN⨪↰⇹∃⊬0=NaN","layer":0}]}
{"id":101,"expression_no_base_symbol":"((∂($7522$∑⇟⊟$2106$))⨁⊸⫻)⨰((⩦⩻⨪($2939$↛⩡⫤))⋷(⊄⩳↩$2592$)∑⇟⊟($3975$∲⫓$3110$))","expression":"((∂(∃⊬1D62∑⇟⊟∃⊬83A))⨁⊸⫻)⨰((⩦⩻⨪(∃⊬B7B↛⩡⫤))⋷(⊄⩳↩∃⊬A20)∑⇟⊟(∃⊬F87∲⫓∃⊬C26))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8971,"operation_count":10,"complexity_ratio":897.1,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7522,"base":16},"right_expr":{"type":"numeric_atoms","value":2106,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2939,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2592,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3975,"base":16},"right_expr":{"type":"numeric_atoms","value":3110,"base":16}}}}},"used_operators":["eewbuw0ToL","glklzrTFfD","Uaa54Peajs","U7g4x0WXJJ","23Mk6UjR3U","2td37pGCOC","FU0Cs4j7VP","8w2t5hMYqp","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7522","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=7522, right_input=2106, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=2939","layer":4},{"info":"compute unary expreesion, input=2939, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-439878","layer":3},{"info":"compute unary expreesion, input=-439878, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-439878","layer":2},{"info":"number node, value=2592","layer":4},{"info":"compute unary expreesion, input=2592, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7776","layer":3},{"info":"number node, value=3975","layer":4},{"info":"number node, value=3110","layer":4},{"info":"compute binary expreesion, left_input=3975, right_input=3110, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7776, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-7776","layer":2},{"info":"compute binary expreesion, left_input=-439878, right_input=-7776, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=879756","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=879756, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∂(∃⊬1D62∑⇟⊟∃⊬83A))⨁⊸⫻)⨰((⩦⩻⨪(∃⊬B7B↛⩡⫤))⋷(⊄⩳↩∃⊬A20)∑⇟⊟(∃⊬F87∲⫓∃⊬C26))=NaN","reverse_text":"NaN=((∂(∃⊬1D62∑⇟⊟∃⊬83A))⨁⊸⫻)⨰((⩦⩻⨪(∃⊬B7B↛⩡⫤))⋷(⊄⩳↩∃⊬A20)∑⇟⊟(∃⊬F87∲⫓∃⊬C26))","cot":[{"info":"∃⊬1D62∑⇟⊟∃⊬83A=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"∃⊬B7B↛⩡⫤=∃⊬-6B646","layer":3},{"info":"⩦⩻⨪∃⊬-6B646=∃⊬-6B646","layer":2},{"info":"⊄⩳↩∃⊬A20=∃⊬-1E60","layer":3},{"info":"∃⊬F87∲⫓∃⊬C26=∃⊬0","layer":3},{"info":"∃⊬-1E60∑⇟⊟∃⊬0=∃⊬-1E60","layer":2},{"info":"∃⊬-6B646⋷∃⊬-1E60=∃⊬D6C8C","layer":1},{"info":"NaN⨰∃⊬D6C8C=NaN","layer":0}]}
{"id":102,"expression_no_base_symbol":"((($3077$⪒$2995$)≫≃)⫸⊐(⊙↵-(↔$1766$)))≧⫂∧(⇁⨣⪵($6701$≎⊠⪸$3309$)↬($1927$⊭↱$2006$))","expression":"(((∃⊬C05⪒∃⊬BB3)≫≃)⫸⊐(⊙↵-(↔∃⊬6E6)))≧⫂∧(⇁⨣⪵(∃⊬1A2D≎⊠⪸∃⊬CED)↬(∃⊬787⊭↱∃⊬7D6))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1825,"operation_count":10,"complexity_ratio":182.5,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3077,"base":16},"right_expr":{"type":"numeric_atoms","value":2995,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1766,"base":16}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6701,"base":16},"right_expr":{"type":"numeric_atoms","value":3309,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1927,"base":16},"right_expr":{"type":"numeric_atoms","value":2006,"base":16}}}}},"used_operators":["Ph9nP6C5qx","mqXw5SEYmG","X99M06cbEe","f6k1SAg4EE","oWn0xqSxBt","ruOEQAzv1W","inkyxCbjAn","B5M0gjZbta","bJkvcejdHO","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","B5M0gjZbta","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3077","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=3077, right_input=2995, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6072","layer":3},{"info":"compute unary expreesion, input=-6072, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-10743","layer":2},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1493","layer":3},{"info":"compute unary expreesion, input=-1493, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=-10743, right_input=196, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=6701","layer":4},{"info":"number node, value=3309","layer":4},{"info":"compute binary expreesion, left_input=6701, right_input=3309, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1735086","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=2006","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=2006, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=163","layer":3},{"info":"compute binary expreesion, left_input=1735086, right_input=163, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, 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":"(((∃⊬C05⪒∃⊬BB3)≫≃)⫸⊐(⊙↵-(↔∃⊬6E6)))≧⫂∧(⇁⨣⪵(∃⊬1A2D≎⊠⪸∃⊬CED)↬(∃⊬787⊭↱∃⊬7D6))=NaN","reverse_text":"NaN=(((∃⊬C05⪒∃⊬BB3)≫≃)⫸⊐(⊙↵-(↔∃⊬6E6)))≧⫂∧(⇁⨣⪵(∃⊬1A2D≎⊠⪸∃⊬CED)↬(∃⊬787⊭↱∃⊬7D6))","cot":[{"info":"∃⊬C05⪒∃⊬BB3=∃⊬-17B8","layer":3},{"info":"∃⊬-17B8≫≃=∃⊬-29F7","layer":2},{"info":"↔∃⊬6E6=∃⊬-5D5","layer":3},{"info":"⊙↵-∃⊬-5D5=∃⊬C4","layer":2},{"info":"∃⊬-29F7⫸⊐∃⊬C4=∃⊬3C8","layer":1},{"info":"∃⊬1A2D≎⊠⪸∃⊬CED=∃⊬1A79AE","layer":3},{"info":"∃⊬787⊭↱∃⊬7D6=∃⊬A3","layer":3},{"info":"∃⊬1A79AE↬∃⊬A3=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"∃⊬3C8≧⫂∧NaN=NaN","layer":0}]}
{"id":103,"expression_no_base_symbol":"($1117$∀⇚≩$1853$⇋≉)⨽(⫓⪴($4438$⨓$1406$))⊉≛↸$4856$⩚⊴⇥$4812$⩚⊴⇥(↣≠⋷$1076$)⋳⪒($4124$⋝⋈⪟$2167$*($2569$⇋≉))","expression":"(∃⊬45D∀⇚≩∃⊬73D⇋≉)⨽(⫓⪴(∃⊬1156⨓∃⊬57E))⊉≛↸∃⊬12F8⩚⊴⇥∃⊬12CC⩚⊴⇥(↣≠⋷∃⊬434)⋳⪒(∃⊬101C⋝⋈⪟∃⊬877*(∃⊬A09⇋≉))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14801,"operation_count":13,"complexity_ratio":1138.5384615384614,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1117,"base":16},"right_expr":{"type":"numeric_atoms","value":1853,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4438,"base":16},"right_expr":{"type":"numeric_atoms","value":1406,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4856,"base":16},"right_expr":{"type":"numeric_atoms","value":4812,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1076,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4124,"base":16},"right_expr":{"type":"numeric_atoms","value":2167,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2569,"base":16}}}}},"used_operators":["DZ8iAZOCBD","8HhzD0ZcuI","XIabStNQrY","LRNGc0VcxI","eLxqMNBOBk","3ViojmjbAp","12rbrZMWeM","NTOWxs364D","Asc51vEJeQ","9HNa5Wba9A","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1117","layer":4},{"info":"number node, value=1853","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=1853, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"number node, value=4438","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=4438, right_input=1406, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1409","layer":3},{"info":"compute unary expreesion, input=-1409, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1985281","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1985281, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4856","layer":4},{"info":"number node, value=4812","layer":4},{"info":"compute binary expreesion, left_input=4856, right_input=4812, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9789","layer":3},{"info":"number node, value=1076","layer":4},{"info":"compute unary expreesion, input=1076, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9789, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4124","layer":4},{"info":"number node, value=2167","layer":4},{"info":"compute binary expreesion, left_input=4124, right_input=2167, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4124","layer":3},{"info":"number node, value=2569","layer":4},{"info":"compute unary expreesion, input=2569, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5040","layer":3},{"info":"compute binary expreesion, left_input=4124, right_input=5040, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20784960","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=20784960, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(∃⊬45D∀⇚≩∃⊬73D⇋≉)⨽(⫓⪴(∃⊬1156⨓∃⊬57E))⊉≛↸∃⊬12F8⩚⊴⇥∃⊬12CC⩚⊴⇥(↣≠⋷∃⊬434)⋳⪒(∃⊬101C⋝⋈⪟∃⊬877*(∃⊬A09⇋≉))=NaN","reverse_text":"NaN=(∃⊬45D∀⇚≩∃⊬73D⇋≉)⨽(⫓⪴(∃⊬1156⨓∃⊬57E))⊉≛↸∃⊬12F8⩚⊴⇥∃⊬12CC⩚⊴⇥(↣≠⋷∃⊬434)⋳⪒(∃⊬101C⋝⋈⪟∃⊬877*(∃⊬A09⇋≉))","cot":[{"info":"∃⊬45D∀⇚≩∃⊬73D=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"∃⊬1156⨓∃⊬57E=∃⊬-581","layer":3},{"info":"⫓⪴∃⊬-581=∃⊬1E4B01","layer":2},{"info":"NaN⨽∃⊬1E4B01=NaN","layer":1},{"info":"∃⊬12F8⩚⊴⇥∃⊬12CC=∃⊬-263D","layer":3},{"info":"↣≠⋷∃⊬434=NaN","layer":3},{"info":"∃⊬-263D⩚⊴⇥NaN=NaN","layer":2},{"info":"∃⊬101C⋝⋈⪟∃⊬877=∃⊬101C","layer":3},{"info":"∃⊬A09⇋≉=∃⊬13B0","layer":3},{"info":"∃⊬101C*∃⊬13B0=∃⊬13D2740","layer":2},{"info":"NaN⋳⪒∃⊬13D2740=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":104,"expression_no_base_symbol":"(($2490$⪨≂$2639$)⪛$1545$⪮%⊝$3108$⇋≉)⪘⫢(($1733$+⇶⊼$1416$⫩⊇)⪒(⩦⩻⨪($2440$⩨$4582$)))","expression":"((∃⊬9BA⪨≂∃⊬A4F)⪛∃⊬609⪮%⊝∃⊬C24⇋≉)⪘⫢((∃⊬6C5+⇶⊼∃⊬588⫩⊇)⪒(⩦⩻⨪(∃⊬988⩨∃⊬11E6)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":43,"operation_count":10,"complexity_ratio":4.3,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2490,"base":16},"right_expr":{"type":"numeric_atoms","value":2639,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1545,"base":16},"right_expr":{"type":"numeric_atoms","value":3108,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1733,"base":16},"right_expr":{"type":"numeric_atoms","value":1416,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2440,"base":16},"right_expr":{"type":"numeric_atoms","value":4582,"base":16}}}}},"used_operators":["oacrs7FA3X","XIabStNQrY","uFcxV4UQCh","sdazOOVcIp","IWmyXbctLI","f6k1SAg4EE","BjRHVeLaeN","TpPTUOHfaN","2td37pGCOC","2DlMacCsIx"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2490","layer":4},{"info":"number node, value=2639","layer":4},{"info":"compute binary expreesion, left_input=2490, right_input=2639, 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=-196","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=3108","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=3108, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3406","layer":3},{"info":"compute binary expreesion, left_input=-196, right_input=3406, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3210","layer":2},{"info":"compute unary expreesion, input=3210, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6322","layer":1},{"info":"number node, value=1733","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1733, right_input=1416, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=2440","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2440, right_input=4582, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6322, 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":"((∃⊬9BA⪨≂∃⊬A4F)⪛∃⊬609⪮%⊝∃⊬C24⇋≉)⪘⫢((∃⊬6C5+⇶⊼∃⊬588⫩⊇)⪒(⩦⩻⨪(∃⊬988⩨∃⊬11E6)))=NaN","reverse_text":"NaN=((∃⊬9BA⪨≂∃⊬A4F)⪛∃⊬609⪮%⊝∃⊬C24⇋≉)⪘⫢((∃⊬6C5+⇶⊼∃⊬588⫩⊇)⪒(⩦⩻⨪(∃⊬988⩨∃⊬11E6)))","cot":[{"info":"∃⊬9BA⪨≂∃⊬A4F=∃⊬-C4","layer":3},{"info":"∃⊬609⪮%⊝∃⊬C24=∃⊬D4E","layer":3},{"info":"∃⊬-C4⪛∃⊬D4E=∃⊬C8A","layer":2},{"info":"∃⊬C8A⇋≉=∃⊬18B2","layer":1},{"info":"∃⊬6C5+⇶⊼∃⊬588=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"∃⊬988⩨∃⊬11E6=∃⊬-3","layer":3},{"info":"⩦⩻⨪∃⊬-3=∃⊬-3","layer":2},{"info":"NaN⪒∃⊬-3=NaN","layer":1},{"info":"∃⊬18B2⪘⫢NaN=NaN","layer":0}]}
{"id":105,"expression_no_base_symbol":"(($5094$⨁⊸⫻)≭($6983$⨐⩸⫘$2417$))⪛((⋗⩬⋾$1673$)⇋≉)⊉≛↸(($4081$≫≃)+(↽≂$6103$))∑⇟⊟($3277$⪛$6278$⇋≉)","expression":"((∃⊬13E6⨁⊸⫻)≭(∃⊬1B47⨐⩸⫘∃⊬971))⪛((⋗⩬⋾∃⊬689)⇋≉)⊉≛↸((∃⊬FF1≫≃)+(↽≂∃⊬17D7))∑⇟⊟(∃⊬CCD⪛∃⊬1886⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34,"operation_count":13,"complexity_ratio":2.6153846153846154,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":5094,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6983,"base":16},"right_expr":{"type":"numeric_atoms","value":2417,"base":16}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1673,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4081,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6103,"base":16}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3277,"base":16},"right_expr":{"type":"numeric_atoms","value":6278,"base":16}}}}},"used_operators":["DZ8iAZOCBD","uFcxV4UQCh","rxpJgHHUmx","glklzrTFfD","fu6greOZ01","XIabStNQrY","DpFCA1CohY","U7g4x0WXJJ","W4YGzv6Whe","X99M06cbEe","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5094","layer":4},{"info":"compute unary expreesion, input=5094, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5094","layer":3},{"info":"number node, value=6983","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=6983, right_input=2417, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5094, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5019","layer":3},{"info":"compute unary expreesion, input=-5019, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-10136","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10136, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4081","layer":4},{"info":"compute unary expreesion, input=4081, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=9563","layer":3},{"info":"number node, value=6103","layer":4},{"info":"compute unary expreesion, input=6103, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-12206","layer":3},{"info":"compute binary expreesion, left_input=9563, right_input=-12206, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-2643","layer":2},{"info":"number node, value=3277","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=3277, right_input=6278, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3277","layer":3},{"info":"compute unary expreesion, input=3277, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6456","layer":2},{"info":"compute binary expreesion, left_input=-2643, right_input=6456, 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 = 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":"((∃⊬13E6⨁⊸⫻)≭(∃⊬1B47⨐⩸⫘∃⊬971))⪛((⋗⩬⋾∃⊬689)⇋≉)⊉≛↸((∃⊬FF1≫≃)+(↽≂∃⊬17D7))∑⇟⊟(∃⊬CCD⪛∃⊬1886⇋≉)=NaN","reverse_text":"NaN=((∃⊬13E6⨁⊸⫻)≭(∃⊬1B47⨐⩸⫘∃⊬971))⪛((⋗⩬⋾∃⊬689)⇋≉)⊉≛↸((∃⊬FF1≫≃)+(↽≂∃⊬17D7))∑⇟⊟(∃⊬CCD⪛∃⊬1886⇋≉)","cot":[{"info":"∃⊬13E6⨁⊸⫻=∃⊬13E6","layer":3},{"info":"∃⊬1B47⨐⩸⫘∃⊬971=NaN","layer":3},{"info":"∃⊬13E6≭NaN=NaN","layer":2},{"info":"⋗⩬⋾∃⊬689=∃⊬-139B","layer":3},{"info":"∃⊬-139B⇋≉=∃⊬-2798","layer":2},{"info":"NaN⪛∃⊬-2798=NaN","layer":1},{"info":"∃⊬FF1≫≃=∃⊬255B","layer":3},{"info":"↽≂∃⊬17D7=∃⊬-2FAE","layer":3},{"info":"∃⊬255B+∃⊬-2FAE=∃⊬-A53","layer":2},{"info":"∃⊬CCD⪛∃⊬1886=∃⊬CCD","layer":3},{"info":"∃⊬CCD⇋≉=∃⊬1938","layer":2},{"info":"∃⊬-A53∑⇟⊟∃⊬1938=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":106,"expression_no_base_symbol":"(($6875$≦≮≮)⨎($1100$⊭↱$3386$)⨸⪁($1645$⨐⩸⫘$2125$≋⫹))⪄(≉(↔($2880$⨸⪁$1291$)))","expression":"((∃⊬1ADB≦≮≮)⨎(∃⊬44C⊭↱∃⊬D3A)⨸⪁(∃⊬66D⨐⩸⫘∃⊬84D≋⫹))⪄(≉(↔(∃⊬B40⨸⪁∃⊬50B)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":49,"operation_count":10,"complexity_ratio":4.9,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6875,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1100,"base":16},"right_expr":{"type":"numeric_atoms","value":3386,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1645,"base":16},"right_expr":{"type":"numeric_atoms","value":2125,"base":16}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2880,"base":16},"right_expr":{"type":"numeric_atoms","value":1291,"base":16}}}}},"used_operators":["SUmda5xLS4","g55IO6H4Gj","rJVOvQCfKK","D4vGDi5EA2","COABgblf1C","N41Kp7NANJ","fu6greOZ01","e1ybzncUwg","ruOEQAzv1W"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6875","layer":4},{"info":"compute unary expreesion, input=6875, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-20625","layer":3},{"info":"number node, value=1100","layer":4},{"info":"number node, value=3386","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=3386, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4577","layer":3},{"info":"compute binary expreesion, left_input=-20625, right_input=4577, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4577","layer":2},{"info":"number node, value=1645","layer":4},{"info":"number node, value=2125","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=2125, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4577, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2880","layer":4},{"info":"number node, value=1291","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=1291, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8342","layer":3},{"info":"compute unary expreesion, input=8342, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8069","layer":2},{"info":"compute unary expreesion, input=-8069, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-8069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-8069, 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":"((∃⊬1ADB≦≮≮)⨎(∃⊬44C⊭↱∃⊬D3A)⨸⪁(∃⊬66D⨐⩸⫘∃⊬84D≋⫹))⪄(≉(↔(∃⊬B40⨸⪁∃⊬50B)))=∃⊬F8B","reverse_text":"∃⊬F8B=((∃⊬1ADB≦≮≮)⨎(∃⊬44C⊭↱∃⊬D3A)⨸⪁(∃⊬66D⨐⩸⫘∃⊬84D≋⫹))⪄(≉(↔(∃⊬B40⨸⪁∃⊬50B)))","cot":[{"info":"∃⊬1ADB≦≮≮=∃⊬-5091","layer":3},{"info":"∃⊬44C⊭↱∃⊬D3A=∃⊬11E1","layer":3},{"info":"∃⊬-5091⨎∃⊬11E1=∃⊬11E1","layer":2},{"info":"∃⊬66D⨐⩸⫘∃⊬84D=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"∃⊬11E1⨸⪁NaN=NaN","layer":1},{"info":"∃⊬B40⨸⪁∃⊬50B=∃⊬2096","layer":3},{"info":"↔∃⊬2096=∃⊬-1F85","layer":2},{"info":"≉∃⊬-1F85=∃⊬-1F85","layer":1},{"info":"NaN⪄∃⊬-1F85=∃⊬F8B","layer":0}]}
{"id":107,"expression_no_base_symbol":"((≤/$1777$)⫥∨⫟(↔$1468$)⋥≓≎(($3240$≫≃)⪨≂($1754$∧)))≭(($3899$/$7908$)⊭↱$1437$⋓$1087$)⪮%⊝((⊙↵-$1132$)/$1671$⪒$6736$)","expression":"((≤/∃⊬6F1)⫥∨⫟(↔∃⊬5BC)⋥≓≎((∃⊬CA8≫≃)⪨≂(∃⊬6DA∧)))≭((∃⊬F3B/∃⊬1EE4)⊭↱∃⊬59D⋓∃⊬43F)⪮%⊝((⊙↵-∃⊬46C)/∃⊬687⪒∃⊬1A50)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1394,"operation_count":15,"complexity_ratio":92.93333333333334,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1777,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1468,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3240,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1754,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3899,"base":16},"right_expr":{"type":"numeric_atoms","value":7908,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1437,"base":16},"right_expr":{"type":"numeric_atoms","value":1087,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1132,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1671,"base":16},"right_expr":{"type":"numeric_atoms","value":6736,"base":16}}}}},"used_operators":["rxpJgHHUmx","Qy55tPpLXF","KYD54nUTWz","eLAdDNolq6","ruOEQAzv1W","sdazOOVcIp","X99M06cbEe","z63VuFQld9","IWmyXbctLI","COABgblf1C","XhwjNDsVaA","T2fj7uvVaJ","oWn0xqSxBt","f6k1SAg4EE"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1777","layer":4},{"info":"compute unary expreesion, input=1777, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1293","layer":3},{"info":"number node, value=1468","layer":4},{"info":"compute unary expreesion, input=1468, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1195","layer":3},{"info":"compute binary expreesion, left_input=-1293, right_input=-1195, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=3240","layer":4},{"info":"compute unary expreesion, input=3240, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7881","layer":3},{"info":"number node, value=1754","layer":4},{"info":"compute unary expreesion, input=1754, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7881, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=3899","layer":4},{"info":"number node, value=7908","layer":4},{"info":"compute binary expreesion, left_input=3899, right_input=7908, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1437","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=1437, right_input=1087, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5","layer":2},{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=6736, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8407","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-8407, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=5, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"((≤/∃⊬6F1)⫥∨⫟(↔∃⊬5BC)⋥≓≎((∃⊬CA8≫≃)⪨≂(∃⊬6DA∧)))≭((∃⊬F3B/∃⊬1EE4)⊭↱∃⊬59D⋓∃⊬43F)⪮%⊝((⊙↵-∃⊬46C)/∃⊬687⪒∃⊬1A50)=NaN","reverse_text":"NaN=((≤/∃⊬6F1)⫥∨⫟(↔∃⊬5BC)⋥≓≎((∃⊬CA8≫≃)⪨≂(∃⊬6DA∧)))≭((∃⊬F3B/∃⊬1EE4)⊭↱∃⊬59D⋓∃⊬43F)⪮%⊝((⊙↵-∃⊬46C)/∃⊬687⪒∃⊬1A50)","cot":[{"info":"≤/∃⊬6F1=∃⊬-50D","layer":3},{"info":"↔∃⊬5BC=∃⊬-4AB","layer":3},{"info":"∃⊬-50D⫥∨⫟∃⊬-4AB=NaN","layer":2},{"info":"∃⊬CA8≫≃=∃⊬1EC9","layer":3},{"info":"∃⊬6DA∧=NaN","layer":3},{"info":"∃⊬1EC9⪨≂NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":1},{"info":"∃⊬F3B/∃⊬1EE4=∃⊬0","layer":3},{"info":"∃⊬59D⋓∃⊬43F=∃⊬0","layer":3},{"info":"∃⊬0⊭↱∃⊬0=∃⊬5","layer":2},{"info":"⊙↵-∃⊬46C=∃⊬-1","layer":3},{"info":"∃⊬687⪒∃⊬1A50=∃⊬-20D7","layer":3},{"info":"∃⊬-1/∃⊬-20D7=∃⊬0","layer":2},{"info":"∃⊬5⪮%⊝∃⊬0=NaN","layer":1},{"info":"∃⊬43≭NaN=NaN","layer":0}]}
{"id":108,"expression_no_base_symbol":"(⨰⫟⨤(⪲⇎$3298$∀⇚≩$1572$))⋓(((⨵≀≌$2835$)⩠)⨸⪁(↥$4850$⨟⋌⩍$6736$))","expression":"(⨰⫟⨤(⪲⇎∃⊬CE2∀⇚≩∃⊬624))⋓(((⨵≀≌∃⊬B13)⩠)⨸⪁(↥∃⊬12F2⨟⋌⩍∃⊬1A50))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23155,"operation_count":9,"complexity_ratio":2572.777777777778,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3298,"base":16},"right_expr":{"type":"numeric_atoms","value":1572,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2835,"base":16}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4850,"base":16},"right_expr":{"type":"numeric_atoms","value":6736,"base":16}}}}},"used_operators":["T2fj7uvVaJ","Tw270M8GLb","XPYlsWDdGa","LRNGc0VcxI","g55IO6H4Gj","sJAwomhLZr","srAu1WTS94","A8NUZmVepG","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3298","layer":4},{"info":"number node, value=1572","layer":4},{"info":"compute binary expreesion, left_input=3298, right_input=1572, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=2835","layer":4},{"info":"compute unary expreesion, input=2835, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8505","layer":3},{"info":"compute unary expreesion, input=-8505, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=34229","layer":2},{"info":"number node, value=4850","layer":4},{"info":"number node, value=6736","layer":4},{"info":"compute binary expreesion, left_input=4850, right_input=6736, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=34229, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⨰⫟⨤(⪲⇎∃⊬CE2∀⇚≩∃⊬624))⋓(((⨵≀≌∃⊬B13)⩠)⨸⪁(↥∃⊬12F2⨟⋌⩍∃⊬1A50))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪲⇎∃⊬CE2∀⇚≩∃⊬624))⋓(((⨵≀≌∃⊬B13)⩠)⨸⪁(↥∃⊬12F2⨟⋌⩍∃⊬1A50))","cot":[{"info":"∃⊬CE2∀⇚≩∃⊬624=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"⨵≀≌∃⊬B13=∃⊬-2139","layer":3},{"info":"∃⊬-2139⩠=∃⊬85B5","layer":2},{"info":"∃⊬12F2⨟⋌⩍∃⊬1A50=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"∃⊬85B5⨸⪁NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":109,"expression_no_base_symbol":"($2428$⪄$5848$⊭↱($5555$⪒$3664$))⨐⩸⫘(($5042$↪⪝)⪐)%(($1538$⋷$3853$)%($3271$+$1798$))∼(⊥($1006$⨸⪁$3969$))","expression":"(∃⊬97C⪄∃⊬16D8⊭↱(∃⊬15B3⪒∃⊬E50))⨐⩸⫘((∃⊬13B2↪⪝)⪐)%((∃⊬602⋷∃⊬F0D)%(∃⊬CC7+∃⊬706))∼(⊥(∃⊬3EE⨸⪁∃⊬F81))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":840,"operation_count":13,"complexity_ratio":64.61538461538461,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2428,"base":16},"right_expr":{"type":"numeric_atoms","value":5848,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5555,"base":16},"right_expr":{"type":"numeric_atoms","value":3664,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":5042,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1538,"base":16},"right_expr":{"type":"numeric_atoms","value":3853,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3271,"base":16},"right_expr":{"type":"numeric_atoms","value":1798,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1006,"base":16},"right_expr":{"type":"numeric_atoms","value":3969,"base":16}}}}},"used_operators":["k8jYdgA6NY","fu6greOZ01","COABgblf1C","SUmda5xLS4","f6k1SAg4EE","eH2TOUuTDT","l07mrZUIn9","DyGG3AbaNP","23Mk6UjR3U","W4YGzv6Whe","Q3PJZHRvZv","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2428","layer":4},{"info":"number node, value=5848","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=5848, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-378825","layer":3},{"info":"number node, value=5555","layer":4},{"info":"number node, value=3664","layer":4},{"info":"compute binary expreesion, left_input=5555, right_input=3664, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9219","layer":3},{"info":"compute binary expreesion, left_input=-378825, right_input=-9219, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=739217","layer":2},{"info":"number node, value=5042","layer":4},{"info":"compute unary expreesion, input=5042, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=308479644","layer":3},{"info":"compute unary expreesion, input=308479644, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=616959288","layer":2},{"info":"compute binary expreesion, left_input=739217, right_input=616959288, 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=1538","layer":4},{"info":"number node, value=3853","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=3853, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6168","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=1798, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5069","layer":3},{"info":"compute binary expreesion, left_input=6168, right_input=5069, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1099","layer":2},{"info":"number node, value=1006","layer":4},{"info":"number node, value=3969","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=3969, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9950","layer":3},{"info":"compute unary expreesion, input=9950, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1099, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute 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":"(∃⊬97C⪄∃⊬16D8⊭↱(∃⊬15B3⪒∃⊬E50))⨐⩸⫘((∃⊬13B2↪⪝)⪐)%((∃⊬602⋷∃⊬F0D)%(∃⊬CC7+∃⊬706))∼(⊥(∃⊬3EE⨸⪁∃⊬F81))=NaN","reverse_text":"NaN=(∃⊬97C⪄∃⊬16D8⊭↱(∃⊬15B3⪒∃⊬E50))⨐⩸⫘((∃⊬13B2↪⪝)⪐)%((∃⊬602⋷∃⊬F0D)%(∃⊬CC7+∃⊬706))∼(⊥(∃⊬3EE⨸⪁∃⊬F81))","cot":[{"info":"∃⊬97C⪄∃⊬16D8=∃⊬-5C7C9","layer":3},{"info":"∃⊬15B3⪒∃⊬E50=∃⊬-2403","layer":3},{"info":"∃⊬-5C7C9⊭↱∃⊬-2403=∃⊬B4791","layer":2},{"info":"∃⊬13B2↪⪝=∃⊬1263069C","layer":3},{"info":"∃⊬1263069C⪐=∃⊬24C60D38","layer":2},{"info":"∃⊬B4791⨐⩸⫘∃⊬24C60D38=NaN","layer":1},{"info":"∃⊬602⋷∃⊬F0D=∃⊬1818","layer":3},{"info":"∃⊬CC7+∃⊬706=∃⊬13CD","layer":3},{"info":"∃⊬1818%∃⊬13CD=∃⊬44B","layer":2},{"info":"∃⊬3EE⨸⪁∃⊬F81=∃⊬26DE","layer":3},{"info":"⊥∃⊬26DE=NaN","layer":2},{"info":"∃⊬44B∼NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":110,"expression_no_base_symbol":"$5923$∼$4924$⨪↰⇹(↩$2861$)≭($6002$⫩⊇)⨓($4644$+$4898$)⫸⊐($3459$⨎$2580$⊉≛↸$1956$⨟⋌⩍$1007$)≎⊠⪸(($4318$⨵⪆$2453$)%$1642$⫥∨⫟$1530$)","expression":"∃⊬1723∼∃⊬133C⨪↰⇹(↩∃⊬B2D)≭(∃⊬1772⫩⊇)⨓(∃⊬1224+∃⊬1322)⫸⊐(∃⊬D83⨎∃⊬A14⊉≛↸∃⊬7A4⨟⋌⩍∃⊬3EF)≎⊠⪸((∃⊬10DE⨵⪆∃⊬995)%∃⊬66A⫥∨⫟∃⊬5FA)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9862,"operation_count":15,"complexity_ratio":657.4666666666667,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5923,"base":16},"right_expr":{"type":"numeric_atoms","value":4924,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2861,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6002,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4644,"base":16},"right_expr":{"type":"numeric_atoms","value":4898,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3459,"base":16},"right_expr":{"type":"numeric_atoms","value":2580,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1956,"base":16},"right_expr":{"type":"numeric_atoms","value":1007,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4318,"base":16},"right_expr":{"type":"numeric_atoms","value":2453,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1642,"base":16},"right_expr":{"type":"numeric_atoms","value":1530,"base":16}}}}},"used_operators":["mqXw5SEYmG","rxpJgHHUmx","tmPS8pqC7x","DyGG3AbaNP","jLgFTUHLKL","3ViojmjbAp","BjRHVeLaeN","W4YGzv6Whe","bJkvcejdHO","DZ8iAZOCBD","rJVOvQCfKK","rGHVDoGpnC","k8jYdgA6NY","2DQ55sFlQl","KYD54nUTWz"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5923","layer":4},{"info":"number node, value=4924","layer":4},{"info":"compute binary expreesion, left_input=5923, right_input=4924, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-20108","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-20108, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=6002","layer":4},{"info":"compute unary expreesion, input=6002, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5960","layer":3},{"info":"number node, value=4644","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=4644, right_input=4898, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9542","layer":3},{"info":"compute binary expreesion, left_input=-5960, right_input=9542, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9545","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9545, 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=3459","layer":4},{"info":"number node, value=2580","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=2580, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2580","layer":3},{"info":"number node, value=1956","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=1007, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2580, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5160","layer":2},{"info":"number node, value=4318","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=4318, right_input=2453, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1530","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1530, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5160, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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":"∃⊬1723∼∃⊬133C⨪↰⇹(↩∃⊬B2D)≭(∃⊬1772⫩⊇)⨓(∃⊬1224+∃⊬1322)⫸⊐(∃⊬D83⨎∃⊬A14⊉≛↸∃⊬7A4⨟⋌⩍∃⊬3EF)≎⊠⪸((∃⊬10DE⨵⪆∃⊬995)%∃⊬66A⫥∨⫟∃⊬5FA)=NaN","reverse_text":"NaN=∃⊬1723∼∃⊬133C⨪↰⇹(↩∃⊬B2D)≭(∃⊬1772⫩⊇)⨓(∃⊬1224+∃⊬1322)⫸⊐(∃⊬D83⨎∃⊬A14⊉≛↸∃⊬7A4⨟⋌⩍∃⊬3EF)≎⊠⪸((∃⊬10DE⨵⪆∃⊬995)%∃⊬66A⫥∨⫟∃⊬5FA)","cot":[{"info":"∃⊬1723∼∃⊬133C=NaN","layer":3},{"info":"↩∃⊬B2D=∃⊬-4E8C","layer":3},{"info":"NaN⨪↰⇹∃⊬-4E8C=NaN","layer":2},{"info":"∃⊬1772⫩⊇=∃⊬-1748","layer":3},{"info":"∃⊬1224+∃⊬1322=∃⊬2546","layer":3},{"info":"∃⊬-1748⨓∃⊬2546=∃⊬-2549","layer":2},{"info":"NaN≭∃⊬-2549=NaN","layer":1},{"info":"∃⊬D83⨎∃⊬A14=∃⊬A14","layer":3},{"info":"∃⊬7A4⨟⋌⩍∃⊬3EF=NaN","layer":3},{"info":"∃⊬A14⊉≛↸NaN=∃⊬1428","layer":2},{"info":"∃⊬10DE⨵⪆∃⊬995=∃⊬A0","layer":3},{"info":"∃⊬66A⫥∨⫟∃⊬5FA=NaN","layer":3},{"info":"∃⊬A0%NaN=NaN","layer":2},{"info":"∃⊬1428≎⊠⪸NaN=∃⊬43","layer":1},{"info":"NaN⫸⊐∃⊬43=NaN","layer":0}]}
{"id":111,"expression_no_base_symbol":"$2073$↺$1126$*($5169$⨵⪆$3973$)*$1213$∼$1156$⨐⩸⫘(↽≂$1987$)⊉≛↸((⨑⩽⪐$2811$)⇼⇔∾$1514$↙$3501$)↬((⊥$2648$)↛⩡⫤)","expression":"∃⊬819↺∃⊬466*(∃⊬1431⨵⪆∃⊬F85)*∃⊬4BD∼∃⊬484⨐⩸⫘(↽≂∃⊬7C3)⊉≛↸((⨑⩽⪐∃⊬AFB)⇼⇔∾∃⊬5EA↙∃⊬DAD)↬((⊥∃⊬A58)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3770,"operation_count":14,"complexity_ratio":269.2857142857143,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2073,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5169,"base":16},"right_expr":{"type":"numeric_atoms","value":3973,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1213,"base":16},"right_expr":{"type":"numeric_atoms","value":1156,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1987,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2811,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1514,"base":16},"right_expr":{"type":"numeric_atoms","value":3501,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2648,"base":16}}}}},"used_operators":["DZ8iAZOCBD","9HNa5Wba9A","7j4O788W3g","2DQ55sFlQl","fu6greOZ01","DyGG3AbaNP","u6S6b8DprG","B5M0gjZbta","tifHPKVTfV","AF7qkfDlqP","yyfyN0ffXY","FU0Cs4j7VP","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2073","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=1126, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1126","layer":3},{"info":"number node, value=5169","layer":4},{"info":"number node, value=3973","layer":4},{"info":"compute binary expreesion, left_input=5169, right_input=3973, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1126, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=180160","layer":2},{"info":"number node, value=1213","layer":4},{"info":"number node, value=1156","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=1156, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1987","layer":4},{"info":"compute unary expreesion, input=1987, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3974","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3974, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=180160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2811","layer":4},{"info":"compute unary expreesion, input=2811, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2538","layer":3},{"info":"number node, value=1514","layer":4},{"info":"number node, value=3501","layer":4},{"info":"compute binary expreesion, left_input=1514, right_input=3501, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10503","layer":3},{"info":"compute binary expreesion, left_input=-2538, right_input=-10503, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7965","layer":2},{"info":"number node, value=2648","layer":4},{"info":"compute unary expreesion, input=2648, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7965, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬819↺∃⊬466*(∃⊬1431⨵⪆∃⊬F85)*∃⊬4BD∼∃⊬484⨐⩸⫘(↽≂∃⊬7C3)⊉≛↸((⨑⩽⪐∃⊬AFB)⇼⇔∾∃⊬5EA↙∃⊬DAD)↬((⊥∃⊬A58)↛⩡⫤)=NaN","reverse_text":"NaN=∃⊬819↺∃⊬466*(∃⊬1431⨵⪆∃⊬F85)*∃⊬4BD∼∃⊬484⨐⩸⫘(↽≂∃⊬7C3)⊉≛↸((⨑⩽⪐∃⊬AFB)⇼⇔∾∃⊬5EA↙∃⊬DAD)↬((⊥∃⊬A58)↛⩡⫤)","cot":[{"info":"∃⊬819↺∃⊬466=∃⊬466","layer":3},{"info":"∃⊬1431⨵⪆∃⊬F85=∃⊬A0","layer":3},{"info":"∃⊬466*∃⊬A0=∃⊬2BFC0","layer":2},{"info":"∃⊬4BD∼∃⊬484=NaN","layer":3},{"info":"↽≂∃⊬7C3=∃⊬-F86","layer":3},{"info":"NaN⨐⩸⫘∃⊬-F86=NaN","layer":2},{"info":"∃⊬2BFC0*NaN=NaN","layer":1},{"info":"⨑⩽⪐∃⊬AFB=∃⊬-9EA","layer":3},{"info":"∃⊬5EA↙∃⊬DAD=∃⊬-2907","layer":3},{"info":"∃⊬-9EA⇼⇔∾∃⊬-2907=∃⊬-1F1D","layer":2},{"info":"⊥∃⊬A58=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"∃⊬-1F1D↬NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":112,"expression_no_base_symbol":"(+⊝⨔(⨞⊢$8005$))⪘⫢(⫛⫱⨽($1769$⪛$1818$))⨓($1486$⫡⨏$2889$/$4305$↬$1920$/(⨑⩽⪐$2422$)⨸⪁($1963$⪨≂$1464$))","expression":"(+⊝⨔(⨞⊢∃⊬1F45))⪘⫢(⫛⫱⨽(∃⊬6E9⪛∃⊬71A))⨓(∃⊬5CE⫡⨏∃⊬B49/∃⊬10D1↬∃⊬780/(⨑⩽⪐∃⊬976)⨸⪁(∃⊬7AB⪨≂∃⊬5B8))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1486,"operation_count":13,"complexity_ratio":114.3076923076923,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":8005,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1769,"base":16},"right_expr":{"type":"numeric_atoms","value":1818,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1486,"base":16},"right_expr":{"type":"numeric_atoms","value":2889,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4305,"base":16},"right_expr":{"type":"numeric_atoms","value":1920,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2422,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1963,"base":16},"right_expr":{"type":"numeric_atoms","value":1464,"base":16}}}}},"used_operators":["3ViojmjbAp","oacrs7FA3X","DhbWaqg5eL","xUOZtlo3hN","DlLNRPXxWL","uFcxV4UQCh","XhwjNDsVaA","QMFrweE19q","B5M0gjZbta","g55IO6H4Gj","AF7qkfDlqP","sdazOOVcIp"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8005","layer":4},{"info":"compute unary expreesion, input=8005, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-8179","layer":3},{"info":"compute unary expreesion, input=-8179, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1769","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=1769, right_input=1818, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1769","layer":3},{"info":"compute unary expreesion, input=1769, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=1486","layer":4},{"info":"number node, value=2889","layer":4},{"info":"compute binary expreesion, left_input=1486, right_input=2889, 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=13991","layer":3},{"info":"number node, value=4305","layer":4},{"info":"number node, value=1920","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=1920, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13991, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2422","layer":4},{"info":"compute unary expreesion, input=2422, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2149","layer":3},{"info":"number node, value=1963","layer":4},{"info":"number node, value=1464","layer":4},{"info":"compute binary expreesion, left_input=1963, right_input=1464, 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=1100","layer":3},{"info":"compute binary expreesion, left_input=-2149, right_input=1100, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-2098","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2098, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"(+⊝⨔(⨞⊢∃⊬1F45))⪘⫢(⫛⫱⨽(∃⊬6E9⪛∃⊬71A))⨓(∃⊬5CE⫡⨏∃⊬B49/∃⊬10D1↬∃⊬780/(⨑⩽⪐∃⊬976)⨸⪁(∃⊬7AB⪨≂∃⊬5B8))=NaN","reverse_text":"NaN=(+⊝⨔(⨞⊢∃⊬1F45))⪘⫢(⫛⫱⨽(∃⊬6E9⪛∃⊬71A))⨓(∃⊬5CE⫡⨏∃⊬B49/∃⊬10D1↬∃⊬780/(⨑⩽⪐∃⊬976)⨸⪁(∃⊬7AB⪨≂∃⊬5B8))","cot":[{"info":"⨞⊢∃⊬1F45=∃⊬-1FF3","layer":3},{"info":"+⊝⨔∃⊬-1FF3=∃⊬5F2","layer":2},{"info":"∃⊬6E9⪛∃⊬71A=∃⊬6E9","layer":3},{"info":"⫛⫱⨽∃⊬6E9=∃⊬0","layer":2},{"info":"∃⊬5F2⪘⫢∃⊬0=∃⊬0","layer":1},{"info":"∃⊬5CE⫡⨏∃⊬B49=∃⊬36A7","layer":3},{"info":"∃⊬10D1↬∃⊬780=NaN","layer":3},{"info":"∃⊬36A7/NaN=NaN","layer":2},{"info":"⨑⩽⪐∃⊬976=∃⊬-865","layer":3},{"info":"∃⊬7AB⪨≂∃⊬5B8=∃⊬44C","layer":3},{"info":"∃⊬-865⨸⪁∃⊬44C=∃⊬-832","layer":2},{"info":"NaN/∃⊬-832=NaN","layer":1},{"info":"∃⊬0⨓NaN=NaN","layer":0}]}
{"id":113,"expression_no_base_symbol":"⨵≀≌(∥⊫(⊙↵-$2983$))⇷((↥$5800$)↪⪝)","expression":"⨵≀≌(∥⊫(⊙↵-∃⊬BA7))⇷((↥∃⊬16A8)↪⪝)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15436,"operation_count":6,"complexity_ratio":2572.6666666666665,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2983,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5800,"base":16}}}}},"used_operators":["srAu1WTS94","mp7IySMOzn","P8v4zCKN1o","oWn0xqSxBt","l07mrZUIn9","A8NUZmVepG"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY"],"result":"∃⊬-CF4044","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2983","layer":4},{"info":"compute unary expreesion, input=2983, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=867","layer":2},{"info":"number node, value=5800","layer":4},{"info":"compute unary expreesion, input=5800, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":3},{"info":"compute unary expreesion, input=37, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=2263734","layer":2},{"info":"compute binary expreesion, left_input=867, right_input=2263734, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4527468","layer":1},{"info":"compute unary expreesion, input=4527468, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-13582404","layer":0}],"base":16,"result_base":16,"text":"⨵≀≌(∥⊫(⊙↵-∃⊬BA7))⇷((↥∃⊬16A8)↪⪝)=∃⊬-CF4044","reverse_text":"∃⊬-CF4044=⨵≀≌(∥⊫(⊙↵-∃⊬BA7))⇷((↥∃⊬16A8)↪⪝)","cot":[{"info":"⊙↵-∃⊬BA7=∃⊬-1","layer":3},{"info":"∥⊫∃⊬-1=∃⊬363","layer":2},{"info":"↥∃⊬16A8=∃⊬25","layer":3},{"info":"∃⊬25↪⪝=∃⊬228AB6","layer":2},{"info":"∃⊬363⇷∃⊬228AB6=∃⊬45156C","layer":1},{"info":"⨵≀≌∃⊬45156C=∃⊬-CF4044","layer":0}]}
{"id":114,"expression_no_base_symbol":"(($1136$⩤)⋥≓≎$6277$⩚⊴⇥$4558$⊉≛↸(⨞⊢(⫓⪴$5862$)))⇋≉","expression":"((∃⊬470⩤)⋥≓≎∃⊬1885⩚⊴⇥∃⊬11CE⊉≛↸(⨞⊢(⫓⪴∃⊬16E6)))⇋≉","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5875,"operation_count":7,"complexity_ratio":839.2857142857143,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1136,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6277,"base":16},"right_expr":{"type":"numeric_atoms","value":4558,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5862,"base":16}}}}},"used_operators":["XIabStNQrY","DZ8iAZOCBD","Qy55tPpLXF","Z2TMIBDE3Q","NTOWxs364D","xUOZtlo3hN","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"∃⊬AA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"compute unary expreesion, input=1136, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1136","layer":3},{"info":"number node, value=6277","layer":4},{"info":"number node, value=4558","layer":4},{"info":"compute binary expreesion, left_input=6277, right_input=4558, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-10956","layer":3},{"info":"compute binary expreesion, left_input=-1136, right_input=-10956, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=5862","layer":4},{"info":"compute unary expreesion, input=5862, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=34363044","layer":3},{"info":"compute unary expreesion, input=34363044, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-34363218","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-34363218, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=134","layer":1},{"info":"compute unary expreesion, input=134, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=170","layer":0}],"base":16,"result_base":16,"text":"((∃⊬470⩤)⋥≓≎∃⊬1885⩚⊴⇥∃⊬11CE⊉≛↸(⨞⊢(⫓⪴∃⊬16E6)))⇋≉=∃⊬AA","reverse_text":"∃⊬AA=((∃⊬470⩤)⋥≓≎∃⊬1885⩚⊴⇥∃⊬11CE⊉≛↸(⨞⊢(⫓⪴∃⊬16E6)))⇋≉","cot":[{"info":"∃⊬470⩤=∃⊬-470","layer":3},{"info":"∃⊬1885⩚⊴⇥∃⊬11CE=∃⊬-2ACC","layer":3},{"info":"∃⊬-470⋥≓≎∃⊬-2ACC=∃⊬43","layer":2},{"info":"⫓⪴∃⊬16E6=∃⊬20C56A4","layer":3},{"info":"⨞⊢∃⊬20C56A4=∃⊬-20C5752","layer":2},{"info":"∃⊬43⊉≛↸∃⊬-20C5752=∃⊬86","layer":1},{"info":"∃⊬86⇋≉=∃⊬AA","layer":0}]}
{"id":115,"expression_no_base_symbol":"(((↥$8588$)⊉≛↸$1327$⇷$2361$)↬(($8120$∲⫓$2371$)⋳⪒(∥⊫$5273$)))⨪↰⇹((⫛⫱⨽(↯⪼$1473$))⫥∨⫟(⫛⫱⨽(⪝⪂⫅$3076$)))","expression":"(((↥∃⊬218C)⊉≛↸∃⊬52F⇷∃⊬939)↬((∃⊬1FB8∲⫓∃⊬943)⋳⪒(∥⊫∃⊬1499)))⨪↰⇹((⫛⫱⨽(↯⪼∃⊬5C1))⫥∨⫟(⫛⫱⨽(⪝⪂⫅∃⊬C04)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21497,"operation_count":13,"complexity_ratio":1653.6153846153845,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":8588,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1327,"base":16},"right_expr":{"type":"numeric_atoms","value":2361,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":8120,"base":16},"right_expr":{"type":"numeric_atoms","value":2371,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5273,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1473,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3076,"base":16}}}}},"used_operators":["tmPS8pqC7x","B5M0gjZbta","DZ8iAZOCBD","A8NUZmVepG","mp7IySMOzn","12rbrZMWeM","i8ToyICDmI","P8v4zCKN1o","KYD54nUTWz","DlLNRPXxWL","8jW3W4yZS5","XTarYq4gQB"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8588","layer":4},{"info":"compute unary expreesion, input=8588, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=20","layer":3},{"info":"number node, value=1327","layer":4},{"info":"number node, value=2361","layer":4},{"info":"compute binary expreesion, left_input=1327, right_input=2361, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4722","layer":3},{"info":"compute binary expreesion, left_input=20, right_input=4722, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=40","layer":2},{"info":"number node, value=8120","layer":4},{"info":"number node, value=2371","layer":4},{"info":"compute binary expreesion, left_input=8120, right_input=2371, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5273","layer":4},{"info":"compute unary expreesion, input=5273, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6141","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6141, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6428","layer":2},{"info":"compute binary expreesion, left_input=40, right_input=-6428, 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=1473","layer":4},{"info":"compute unary expreesion, input=1473, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-452172","layer":3},{"info":"compute unary expreesion, input=-452172, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, 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 = 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":"(((↥∃⊬218C)⊉≛↸∃⊬52F⇷∃⊬939)↬((∃⊬1FB8∲⫓∃⊬943)⋳⪒(∥⊫∃⊬1499)))⨪↰⇹((⫛⫱⨽(↯⪼∃⊬5C1))⫥∨⫟(⫛⫱⨽(⪝⪂⫅∃⊬C04)))=NaN","reverse_text":"NaN=(((↥∃⊬218C)⊉≛↸∃⊬52F⇷∃⊬939)↬((∃⊬1FB8∲⫓∃⊬943)⋳⪒(∥⊫∃⊬1499)))⨪↰⇹((⫛⫱⨽(↯⪼∃⊬5C1))⫥∨⫟(⫛⫱⨽(⪝⪂⫅∃⊬C04)))","cot":[{"info":"↥∃⊬218C=∃⊬14","layer":3},{"info":"∃⊬52F⇷∃⊬939=∃⊬1272","layer":3},{"info":"∃⊬14⊉≛↸∃⊬1272=∃⊬28","layer":2},{"info":"∃⊬1FB8∲⫓∃⊬943=∃⊬0","layer":3},{"info":"∥⊫∃⊬1499=∃⊬17FD","layer":3},{"info":"∃⊬0⋳⪒∃⊬17FD=∃⊬-191C","layer":2},{"info":"∃⊬28↬∃⊬-191C=NaN","layer":1},{"info":"↯⪼∃⊬5C1=∃⊬-15","layer":3},{"info":"⫛⫱⨽∃⊬-15=∃⊬0","layer":2},{"info":"⪝⪂⫅∃⊬C04=∃⊬-6E64C","layer":3},{"info":"⫛⫱⨽∃⊬-6E64C=∃⊬0","layer":2},{"info":"∃⊬0⫥∨⫟∃⊬0=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":116,"expression_no_base_symbol":"($1461$⨰$2099$⨰($1139$≎⊠⪸$7303$)⋷$2427$⨐⩸⫘$8192$⩨$4846$⇷$4358$)⩤","expression":"(∃⊬5B5⨰∃⊬833⨰(∃⊬473≎⊠⪸∃⊬1C87)⋷∃⊬97B⨐⩸⫘∃⊬2000⩨∃⊬12EE⇷∃⊬1106)⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":68140,"operation_count":8,"complexity_ratio":8517.5,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1461,"base":16},"right_expr":{"type":"numeric_atoms","value":2099,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1139,"base":16},"right_expr":{"type":"numeric_atoms","value":7303,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2427,"base":16},"right_expr":{"type":"numeric_atoms","value":8192,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4846,"base":16},"right_expr":{"type":"numeric_atoms","value":4358,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","23Mk6UjR3U","eewbuw0ToL","bJkvcejdHO","2DlMacCsIx","fu6greOZ01","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬-901D4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1461","layer":4},{"info":"number node, value=2099","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=2099, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-628","layer":3},{"info":"number node, value=1139","layer":4},{"info":"number node, value=7303","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=7303, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=294528","layer":3},{"info":"compute binary expreesion, left_input=-628, right_input=294528, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-295146","layer":2},{"info":"number node, value=2427","layer":4},{"info":"number node, value=8192","layer":4},{"info":"compute binary expreesion, left_input=2427, right_input=8192, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4846","layer":4},{"info":"number node, value=4358","layer":4},{"info":"compute binary expreesion, left_input=4846, right_input=4358, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8716","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8716, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-295146, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=590292","layer":1},{"info":"compute unary expreesion, input=590292, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-590292","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5B5⨰∃⊬833⨰(∃⊬473≎⊠⪸∃⊬1C87)⋷∃⊬97B⨐⩸⫘∃⊬2000⩨∃⊬12EE⇷∃⊬1106)⩤=∃⊬-901D4","reverse_text":"∃⊬-901D4=(∃⊬5B5⨰∃⊬833⨰(∃⊬473≎⊠⪸∃⊬1C87)⋷∃⊬97B⨐⩸⫘∃⊬2000⩨∃⊬12EE⇷∃⊬1106)⩤","cot":[{"info":"∃⊬5B5⨰∃⊬833=∃⊬-274","layer":3},{"info":"∃⊬473≎⊠⪸∃⊬1C87=∃⊬47E80","layer":3},{"info":"∃⊬-274⨰∃⊬47E80=∃⊬-480EA","layer":2},{"info":"∃⊬97B⨐⩸⫘∃⊬2000=NaN","layer":3},{"info":"∃⊬12EE⇷∃⊬1106=∃⊬220C","layer":3},{"info":"NaN⩨∃⊬220C=NaN","layer":2},{"info":"∃⊬-480EA⋷NaN=∃⊬901D4","layer":1},{"info":"∃⊬901D4⩤=∃⊬-901D4","layer":0}]}
{"id":117,"expression_no_base_symbol":"(($3537$⫡⨏$5730$)⪒$9671$∑⇟⊟$2823$)≧⫂∧($1003$≹⇙⪍$6660$⩷∴$3141$⨓$1182$)⫥∨⫟(($5251$⪠⩆⊳)⫸⊐($3415$∲⫓$3500$)⊉≛↸($2452$+$7333$)+⇶⊼($2186$⫡⨏$8219$))","expression":"((∃⊬DD1⫡⨏∃⊬1662)⪒∃⊬25C7∑⇟⊟∃⊬B07)≧⫂∧(∃⊬3EB≹⇙⪍∃⊬1A04⩷∴∃⊬C45⨓∃⊬49E)⫥∨⫟((∃⊬1483⪠⩆⊳)⫸⊐(∃⊬D57∲⫓∃⊬DAC)⊉≛↸(∃⊬994+∃⊬1CA5)+⇶⊼(∃⊬88A⫡⨏∃⊬201B))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1384,"operation_count":15,"complexity_ratio":92.26666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3537,"base":16},"right_expr":{"type":"numeric_atoms","value":5730,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":9671,"base":16},"right_expr":{"type":"numeric_atoms","value":2823,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":6660,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3141,"base":16},"right_expr":{"type":"numeric_atoms","value":1182,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5251,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3415,"base":16},"right_expr":{"type":"numeric_atoms","value":3500,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2452,"base":16},"right_expr":{"type":"numeric_atoms","value":7333,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2186,"base":16},"right_expr":{"type":"numeric_atoms","value":8219,"base":16}}}}},"used_operators":["KYD54nUTWz","Ph9nP6C5qx","f6k1SAg4EE","QMFrweE19q","U7g4x0WXJJ","9FxExcQeMw","AHs5Up7iyr","3ViojmjbAp","DZ8iAZOCBD","mqXw5SEYmG","JLbD19bQDL","i8ToyICDmI","TpPTUOHfaN","W4YGzv6Whe"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","dWAJyo7jo9","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3537","layer":4},{"info":"number node, value=5730","layer":4},{"info":"compute binary expreesion, left_input=3537, right_input=5730, 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=29928","layer":3},{"info":"number node, value=9671","layer":4},{"info":"number node, value=2823","layer":4},{"info":"compute binary expreesion, left_input=9671, right_input=2823, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29928, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=6660","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=6660, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3141","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=3141, right_input=1182, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1185","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1185, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=5251","layer":4},{"info":"compute unary expreesion, input=5251, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=3415","layer":4},{"info":"number node, value=3500","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=3500, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=2452","layer":4},{"info":"number node, value=7333","layer":4},{"info":"compute binary expreesion, left_input=2452, right_input=7333, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9785","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=8219","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=8219, 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=28151","layer":3},{"info":"compute binary expreesion, left_input=9785, right_input=28151, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬DD1⫡⨏∃⊬1662)⪒∃⊬25C7∑⇟⊟∃⊬B07)≧⫂∧(∃⊬3EB≹⇙⪍∃⊬1A04⩷∴∃⊬C45⨓∃⊬49E)⫥∨⫟((∃⊬1483⪠⩆⊳)⫸⊐(∃⊬D57∲⫓∃⊬DAC)⊉≛↸(∃⊬994+∃⊬1CA5)+⇶⊼(∃⊬88A⫡⨏∃⊬201B))=NaN","reverse_text":"NaN=((∃⊬DD1⫡⨏∃⊬1662)⪒∃⊬25C7∑⇟⊟∃⊬B07)≧⫂∧(∃⊬3EB≹⇙⪍∃⊬1A04⩷∴∃⊬C45⨓∃⊬49E)⫥∨⫟((∃⊬1483⪠⩆⊳)⫸⊐(∃⊬D57∲⫓∃⊬DAC)⊉≛↸(∃⊬994+∃⊬1CA5)+⇶⊼(∃⊬88A⫡⨏∃⊬201B))","cot":[{"info":"∃⊬DD1⫡⨏∃⊬1662=∃⊬74E8","layer":3},{"info":"∃⊬25C7∑⇟⊟∃⊬B07=NaN","layer":3},{"info":"∃⊬74E8⪒NaN=NaN","layer":2},{"info":"∃⊬3EB≹⇙⪍∃⊬1A04=NaN","layer":3},{"info":"∃⊬C45⨓∃⊬49E=∃⊬-4A1","layer":3},{"info":"NaN⩷∴∃⊬-4A1=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬1483⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬D57∲⫓∃⊬DAC=∃⊬0","layer":3},{"info":"∃⊬0⫸⊐∃⊬0=∃⊬0","layer":2},{"info":"∃⊬994+∃⊬1CA5=∃⊬2639","layer":3},{"info":"∃⊬88A⫡⨏∃⊬201B=∃⊬6DF7","layer":3},{"info":"∃⊬2639+⇶⊼∃⊬6DF7=NaN","layer":2},{"info":"∃⊬0⊉≛↸NaN=∃⊬0","layer":1},{"info":"NaN⫥∨⫟∃⊬0=NaN","layer":0}]}
{"id":118,"expression_no_base_symbol":"($2107$⪢$7665$⨎$2695$⩚⊴⇥$1769$)⋓(≤/$6448$∼$1107$)⇼⇔∾($3739$⇼⇔∾$1880$)+⇶⊼($1386$⪠⩆⊳)⪄($2958$↛⩡⫤)⩷∴$1685$⨟⋌⩍$1037$","expression":"(∃⊬83B⪢∃⊬1DF1⨎∃⊬A87⩚⊴⇥∃⊬6E9)⋓(≤/∃⊬1930∼∃⊬453)⇼⇔∾(∃⊬E9B⇼⇔∾∃⊬758)+⇶⊼(∃⊬56A⪠⩆⊳)⪄(∃⊬B8E↛⩡⫤)⩷∴∃⊬695⨟⋌⩍∃⊬40D","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16860,"operation_count":14,"complexity_ratio":1204.2857142857142,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2107,"base":16},"right_expr":{"type":"numeric_atoms","value":7665,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2695,"base":16},"right_expr":{"type":"numeric_atoms","value":1769,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6448,"base":16},"right_expr":{"type":"numeric_atoms","value":1107,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3739,"base":16},"right_expr":{"type":"numeric_atoms","value":1880,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1386,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2958,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1685,"base":16},"right_expr":{"type":"numeric_atoms","value":1037,"base":16}}}}},"used_operators":["tifHPKVTfV","T2fj7uvVaJ","rJVOvQCfKK","dWAJyo7jo9","NTOWxs364D","eLAdDNolq6","DyGG3AbaNP","SUmda5xLS4","TpPTUOHfaN","JLbD19bQDL","9FxExcQeMw","FU0Cs4j7VP","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2107","layer":4},{"info":"number node, value=7665","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=7665, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2695","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2695, right_input=1769, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4585","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4585, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4585","layer":2},{"info":"number node, value=6448","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=6448, right_input=1107, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4585, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=3739","layer":4},{"info":"number node, value=1880","layer":4},{"info":"compute binary expreesion, left_input=3739, right_input=1880, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1859","layer":3},{"info":"number node, value=1386","layer":4},{"info":"compute unary expreesion, input=1386, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1859, right_input=0, 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=0","layer":2},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-442747","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=1037","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=1037, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-442747, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬83B⪢∃⊬1DF1⨎∃⊬A87⩚⊴⇥∃⊬6E9)⋓(≤/∃⊬1930∼∃⊬453)⇼⇔∾(∃⊬E9B⇼⇔∾∃⊬758)+⇶⊼(∃⊬56A⪠⩆⊳)⪄(∃⊬B8E↛⩡⫤)⩷∴∃⊬695⨟⋌⩍∃⊬40D=NaN","reverse_text":"NaN=(∃⊬83B⪢∃⊬1DF1⨎∃⊬A87⩚⊴⇥∃⊬6E9)⋓(≤/∃⊬1930∼∃⊬453)⇼⇔∾(∃⊬E9B⇼⇔∾∃⊬758)+⇶⊼(∃⊬56A⪠⩆⊳)⪄(∃⊬B8E↛⩡⫤)⩷∴∃⊬695⨟⋌⩍∃⊬40D","cot":[{"info":"∃⊬83B⪢∃⊬1DF1=NaN","layer":3},{"info":"∃⊬A87⩚⊴⇥∃⊬6E9=∃⊬-11E9","layer":3},{"info":"NaN⨎∃⊬-11E9=∃⊬-11E9","layer":2},{"info":"∃⊬1930∼∃⊬453=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬-11E9⋓NaN=NaN","layer":1},{"info":"∃⊬E9B⇼⇔∾∃⊬758=∃⊬-743","layer":3},{"info":"∃⊬56A⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬-743+⇶⊼∃⊬0=∃⊬0","layer":2},{"info":"∃⊬B8E↛⩡⫤=∃⊬-6C17B","layer":3},{"info":"∃⊬695⨟⋌⩍∃⊬40D=NaN","layer":3},{"info":"∃⊬-6C17B⩷∴NaN=NaN","layer":2},{"info":"∃⊬0⪄NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":119,"expression_no_base_symbol":"(↔($1631$∀⇚≩$1824$⨎($2401$≋⫹)))≎⊠⪸((⋗⩬⋾$1414$⋝⋈⪟$6177$)⋥≓≎($7606$↙$3907$)+⇶⊼(+⊝⨔$2357$))","expression":"(↔(∃⊬65F∀⇚≩∃⊬720⨎(∃⊬961≋⫹)))≎⊠⪸((⋗⩬⋾∃⊬586⋝⋈⪟∃⊬1821)⋥≓≎(∃⊬1DB6↙∃⊬F43)+⇶⊼(+⊝⨔∃⊬935))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15548,"operation_count":11,"complexity_ratio":1413.4545454545455,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1631,"base":16},"right_expr":{"type":"numeric_atoms","value":1824,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2401,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1414,"base":16},"right_expr":{"type":"numeric_atoms","value":6177,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7606,"base":16},"right_expr":{"type":"numeric_atoms","value":3907,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2357,"base":16}}}}},"used_operators":["bJkvcejdHO","ruOEQAzv1W","rJVOvQCfKK","LRNGc0VcxI","N41Kp7NANJ","Qy55tPpLXF","DpFCA1CohY","2DDjHMKMc0","TpPTUOHfaN","yyfyN0ffXY","DhbWaqg5eL"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬8792","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1631","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=1824, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2401","layer":4},{"info":"compute unary expreesion, input=2401, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4802","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4802, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-4802","layer":2},{"info":"compute unary expreesion, input=-4802, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=1414","layer":4},{"info":"number node, value=6177","layer":4},{"info":"compute binary expreesion, left_input=1414, right_input=6177, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1414","layer":3},{"info":"compute unary expreesion, input=1414, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4242","layer":2},{"info":"number node, value=7606","layer":4},{"info":"number node, value=3907","layer":4},{"info":"compute binary expreesion, left_input=7606, right_input=3907, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11721","layer":3},{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-11721, right_input=1522, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4242, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=34706","layer":0}],"base":16,"result_base":16,"text":"(↔(∃⊬65F∀⇚≩∃⊬720⨎(∃⊬961≋⫹)))≎⊠⪸((⋗⩬⋾∃⊬586⋝⋈⪟∃⊬1821)⋥≓≎(∃⊬1DB6↙∃⊬F43)+⇶⊼(+⊝⨔∃⊬935))=∃⊬8792","reverse_text":"∃⊬8792=(↔(∃⊬65F∀⇚≩∃⊬720⨎(∃⊬961≋⫹)))≎⊠⪸((⋗⩬⋾∃⊬586⋝⋈⪟∃⊬1821)⋥≓≎(∃⊬1DB6↙∃⊬F43)+⇶⊼(+⊝⨔∃⊬935))","cot":[{"info":"∃⊬65F∀⇚≩∃⊬720=NaN","layer":3},{"info":"∃⊬961≋⫹=∃⊬-12C2","layer":3},{"info":"NaN⨎∃⊬-12C2=∃⊬-12C2","layer":2},{"info":"↔∃⊬-12C2=∃⊬-86","layer":1},{"info":"∃⊬586⋝⋈⪟∃⊬1821=∃⊬586","layer":3},{"info":"⋗⩬⋾∃⊬586=∃⊬-1092","layer":2},{"info":"∃⊬1DB6↙∃⊬F43=∃⊬-2DC9","layer":3},{"info":"+⊝⨔∃⊬935=∃⊬5F2","layer":3},{"info":"∃⊬-2DC9+⇶⊼∃⊬5F2=NaN","layer":2},{"info":"∃⊬-1092⋥≓≎NaN=∃⊬43","layer":1},{"info":"∃⊬-86≎⊠⪸∃⊬43=∃⊬8792","layer":0}]}
{"id":120,"expression_no_base_symbol":"((⨰⫟⨤($3871$%$9484$))⊉≛↸($1687$≣⋋)⨓($1454$⩤))⨽(⊙↵-(($2518$⫡⨏$4012$)↺(⫓⪴$5539$)))","expression":"((⨰⫟⨤(∃⊬F1F%∃⊬250C))⊉≛↸(∃⊬697≣⋋)⨓(∃⊬5AE⩤))⨽(⊙↵-((∃⊬9D6⫡⨏∃⊬FAC)↺(⫓⪴∃⊬15A3)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":22227,"operation_count":11,"complexity_ratio":2020.6363636363637,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3871,"base":16},"right_expr":{"type":"numeric_atoms","value":9484,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1687,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1454,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2518,"base":16},"right_expr":{"type":"numeric_atoms","value":4012,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5539,"base":16}}}}},"used_operators":["8HhzD0ZcuI","DZ8iAZOCBD","Tw270M8GLb","k8jYdgA6NY","3ViojmjbAp","Tcnh7f0tEr","Z2TMIBDE3Q","oWn0xqSxBt","7j4O788W3g","QMFrweE19q","eLxqMNBOBk"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3871","layer":4},{"info":"number node, value=9484","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=9484, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3871","layer":3},{"info":"compute unary expreesion, input=3871, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1454","layer":4},{"info":"compute unary expreesion, input=1454, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1454","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1454, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=1451","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1451, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2518","layer":4},{"info":"number node, value=4012","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=4012, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=21397","layer":3},{"info":"number node, value=5539","layer":4},{"info":"compute unary expreesion, input=5539, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=30680521","layer":3},{"info":"compute binary expreesion, left_input=21397, right_input=30680521, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=30680521","layer":2},{"info":"compute unary expreesion, input=30680521, 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 = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤(∃⊬F1F%∃⊬250C))⊉≛↸(∃⊬697≣⋋)⨓(∃⊬5AE⩤))⨽(⊙↵-((∃⊬9D6⫡⨏∃⊬FAC)↺(⫓⪴∃⊬15A3)))=NaN","reverse_text":"NaN=((⨰⫟⨤(∃⊬F1F%∃⊬250C))⊉≛↸(∃⊬697≣⋋)⨓(∃⊬5AE⩤))⨽(⊙↵-((∃⊬9D6⫡⨏∃⊬FAC)↺(⫓⪴∃⊬15A3)))","cot":[{"info":"∃⊬F1F%∃⊬250C=∃⊬F1F","layer":3},{"info":"⨰⫟⨤∃⊬F1F=NaN","layer":2},{"info":"∃⊬697≣⋋=∃⊬0","layer":3},{"info":"∃⊬5AE⩤=∃⊬-5AE","layer":3},{"info":"∃⊬0⨓∃⊬-5AE=∃⊬5AB","layer":2},{"info":"NaN⊉≛↸∃⊬5AB=NaN","layer":1},{"info":"∃⊬9D6⫡⨏∃⊬FAC=∃⊬5395","layer":3},{"info":"⫓⪴∃⊬15A3=∃⊬1D425C9","layer":3},{"info":"∃⊬5395↺∃⊬1D425C9=∃⊬1D425C9","layer":2},{"info":"⊙↵-∃⊬1D425C9=∃⊬-1","layer":1},{"info":"NaN⨽∃⊬-1=NaN","layer":0}]}
{"id":121,"expression_no_base_symbol":"((⊄⩳↩$8346$⪮%⊝$2562$)-((+⊝⨔$1255$)/($2741$⩤)))⫥∨⫟(↔($2215$⪮%⊝$1137$⋳⪒($6116$/$5576$)))","expression":"((⊄⩳↩∃⊬209A⪮%⊝∃⊬A02)-((+⊝⨔∃⊬4E7)/(∃⊬AB5⩤)))⫥∨⫟(↔(∃⊬8A7⪮%⊝∃⊬471⋳⪒(∃⊬17E4/∃⊬15C8)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":233,"operation_count":11,"complexity_ratio":21.181818181818183,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8346,"base":16},"right_expr":{"type":"numeric_atoms","value":2562,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2741,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2215,"base":16},"right_expr":{"type":"numeric_atoms","value":1137,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6116,"base":16},"right_expr":{"type":"numeric_atoms","value":5576,"base":16}}}}},"used_operators":["KYD54nUTWz","rysDP5nf3Z","8w2t5hMYqp","IWmyXbctLI","XhwjNDsVaA","DhbWaqg5eL","Z2TMIBDE3Q","ruOEQAzv1W","12rbrZMWeM"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8346","layer":4},{"info":"number node, value=2562","layer":4},{"info":"compute binary expreesion, left_input=8346, right_input=2562, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17008","layer":3},{"info":"compute unary expreesion, input=17008, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-51024","layer":2},{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2741","layer":4},{"info":"compute unary expreesion, input=2741, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2741","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-2741, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-51024, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-51023","layer":1},{"info":"number node, value=2215","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=1137, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4746","layer":3},{"info":"number node, value=6116","layer":4},{"info":"number node, value=5576","layer":4},{"info":"compute binary expreesion, left_input=6116, right_input=5576, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=4746, right_input=1, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9204","layer":2},{"info":"compute unary expreesion, input=9204, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8931","layer":1},{"info":"compute binary expreesion, left_input=-51023, right_input=-8931, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊄⩳↩∃⊬209A⪮%⊝∃⊬A02)-((+⊝⨔∃⊬4E7)/(∃⊬AB5⩤)))⫥∨⫟(↔(∃⊬8A7⪮%⊝∃⊬471⋳⪒(∃⊬17E4/∃⊬15C8)))=NaN","reverse_text":"NaN=((⊄⩳↩∃⊬209A⪮%⊝∃⊬A02)-((+⊝⨔∃⊬4E7)/(∃⊬AB5⩤)))⫥∨⫟(↔(∃⊬8A7⪮%⊝∃⊬471⋳⪒(∃⊬17E4/∃⊬15C8)))","cot":[{"info":"∃⊬209A⪮%⊝∃⊬A02=∃⊬4270","layer":3},{"info":"⊄⩳↩∃⊬4270=∃⊬-C750","layer":2},{"info":"+⊝⨔∃⊬4E7=∃⊬5F2","layer":3},{"info":"∃⊬AB5⩤=∃⊬-AB5","layer":3},{"info":"∃⊬5F2/∃⊬-AB5=∃⊬-1","layer":2},{"info":"∃⊬-C750-∃⊬-1=∃⊬-C74F","layer":1},{"info":"∃⊬8A7⪮%⊝∃⊬471=∃⊬128A","layer":3},{"info":"∃⊬17E4/∃⊬15C8=∃⊬1","layer":3},{"info":"∃⊬128A⋳⪒∃⊬1=∃⊬23F4","layer":2},{"info":"↔∃⊬23F4=∃⊬-22E3","layer":1},{"info":"∃⊬-C74F⫥∨⫟∃⊬-22E3=NaN","layer":0}]}
{"id":122,"expression_no_base_symbol":"($1275$≹⇙⪍$1502$∲⫓($3224$⫡⨏$6955$))⩚⊴⇥((⨰⫟⨤$1019$)⨸⪁($3782$⊉≛↸$5372$))∲⫓(($5346$%$6262$)⨓($1398$⊭↱$1889$))∼($1873$⫥∨⫟$1337$⫸⊐(∂$1181$))","expression":"(∃⊬4FB≹⇙⪍∃⊬5DE∲⫓(∃⊬C98⫡⨏∃⊬1B2B))⩚⊴⇥((⨰⫟⨤∃⊬3FB)⨸⪁(∃⊬EC6⊉≛↸∃⊬14FC))∲⫓((∃⊬14E2%∃⊬1876)⨓(∃⊬576⊭↱∃⊬761))∼(∃⊬751⫥∨⫟∃⊬539⫸⊐(∂∃⊬49D))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4436,"operation_count":15,"complexity_ratio":295.73333333333335,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1275,"base":16},"right_expr":{"type":"numeric_atoms","value":1502,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3224,"base":16},"right_expr":{"type":"numeric_atoms","value":6955,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1019,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3782,"base":16},"right_expr":{"type":"numeric_atoms","value":5372,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5346,"base":16},"right_expr":{"type":"numeric_atoms","value":6262,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1398,"base":16},"right_expr":{"type":"numeric_atoms","value":1889,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1873,"base":16},"right_expr":{"type":"numeric_atoms","value":1337,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1181,"base":16}}}}},"used_operators":["i8ToyICDmI","NTOWxs364D","AHs5Up7iyr","QMFrweE19q","g55IO6H4Gj","Tw270M8GLb","DZ8iAZOCBD","DyGG3AbaNP","3ViojmjbAp","k8jYdgA6NY","COABgblf1C","mqXw5SEYmG","KYD54nUTWz","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1275","layer":4},{"info":"number node, value=1502","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1502, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3224","layer":4},{"info":"number node, value=6955","layer":4},{"info":"compute binary expreesion, left_input=3224, right_input=6955, 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=30813","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=30813, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3782","layer":4},{"info":"number node, value=5372","layer":4},{"info":"compute binary expreesion, left_input=3782, right_input=5372, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7564","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7564, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=5346","layer":4},{"info":"number node, value=6262","layer":4},{"info":"compute binary expreesion, left_input=5346, right_input=6262, op_id = k8jYdgA6NY binary_op_definition= 'None', output=5346","layer":3},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1889, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=987","layer":3},{"info":"compute binary expreesion, left_input=5346, right_input=987, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-990","layer":2},{"info":"number node, value=1873","layer":4},{"info":"number node, value=1337","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=1337, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-990, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute 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":"(∃⊬4FB≹⇙⪍∃⊬5DE∲⫓(∃⊬C98⫡⨏∃⊬1B2B))⩚⊴⇥((⨰⫟⨤∃⊬3FB)⨸⪁(∃⊬EC6⊉≛↸∃⊬14FC))∲⫓((∃⊬14E2%∃⊬1876)⨓(∃⊬576⊭↱∃⊬761))∼(∃⊬751⫥∨⫟∃⊬539⫸⊐(∂∃⊬49D))=NaN","reverse_text":"NaN=(∃⊬4FB≹⇙⪍∃⊬5DE∲⫓(∃⊬C98⫡⨏∃⊬1B2B))⩚⊴⇥((⨰⫟⨤∃⊬3FB)⨸⪁(∃⊬EC6⊉≛↸∃⊬14FC))∲⫓((∃⊬14E2%∃⊬1876)⨓(∃⊬576⊭↱∃⊬761))∼(∃⊬751⫥∨⫟∃⊬539⫸⊐(∂∃⊬49D))","cot":[{"info":"∃⊬4FB≹⇙⪍∃⊬5DE=NaN","layer":3},{"info":"∃⊬C98⫡⨏∃⊬1B2B=∃⊬785D","layer":3},{"info":"NaN∲⫓∃⊬785D=∃⊬0","layer":2},{"info":"⨰⫟⨤∃⊬3FB=NaN","layer":3},{"info":"∃⊬EC6⊉≛↸∃⊬14FC=∃⊬1D8C","layer":3},{"info":"NaN⨸⪁∃⊬1D8C=NaN","layer":2},{"info":"∃⊬0⩚⊴⇥NaN=NaN","layer":1},{"info":"∃⊬14E2%∃⊬1876=∃⊬14E2","layer":3},{"info":"∃⊬576⊭↱∃⊬761=∃⊬3DB","layer":3},{"info":"∃⊬14E2⨓∃⊬3DB=∃⊬-3DE","layer":2},{"info":"∃⊬751⫥∨⫟∃⊬539=NaN","layer":3},{"info":"∂∃⊬49D=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"∃⊬-3DE∼NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":123,"expression_no_base_symbol":"⊙↵-((($5561$⨸⪁$6373$)↺$2144$⨪↰⇹$9305$)⫥∨⫟(∥⊫$3211$≹⇙⪍$1442$))","expression":"⊙↵-(((∃⊬15B9⨸⪁∃⊬18E5)↺∃⊬860⨪↰⇹∃⊬2459)⫥∨⫟(∥⊫∃⊬C8B≹⇙⪍∃⊬5A2))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2334,"operation_count":7,"complexity_ratio":333.42857142857144,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5561,"base":16},"right_expr":{"type":"numeric_atoms","value":6373,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":9305,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3211,"base":16},"right_expr":{"type":"numeric_atoms","value":1442,"base":16}}}}},"used_operators":["oWn0xqSxBt","KYD54nUTWz","7j4O788W3g","g55IO6H4Gj","tmPS8pqC7x","P8v4zCKN1o","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5561","layer":4},{"info":"number node, value=6373","layer":4},{"info":"compute binary expreesion, left_input=5561, right_input=6373, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23868","layer":3},{"info":"number node, value=2144","layer":4},{"info":"number node, value=9305","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=9305, 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=2144","layer":3},{"info":"compute binary expreesion, left_input=23868, right_input=2144, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2144","layer":2},{"info":"number node, value=3211","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=3211, right_input=1442, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2144, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":"⊙↵-(((∃⊬15B9⨸⪁∃⊬18E5)↺∃⊬860⨪↰⇹∃⊬2459)⫥∨⫟(∥⊫∃⊬C8B≹⇙⪍∃⊬5A2))=NaN","reverse_text":"NaN=⊙↵-(((∃⊬15B9⨸⪁∃⊬18E5)↺∃⊬860⨪↰⇹∃⊬2459)⫥∨⫟(∥⊫∃⊬C8B≹⇙⪍∃⊬5A2))","cot":[{"info":"∃⊬15B9⨸⪁∃⊬18E5=∃⊬5D3C","layer":3},{"info":"∃⊬860⨪↰⇹∃⊬2459=∃⊬860","layer":3},{"info":"∃⊬5D3C↺∃⊬860=∃⊬860","layer":2},{"info":"∃⊬C8B≹⇙⪍∃⊬5A2=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"∃⊬860⫥∨⫟NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":124,"expression_no_base_symbol":"⪝⪂⫅((⪲⇎$1619$)⪮%⊝($1927$⪛$2024$)⊭↱($1355$/$4455$)⊴($1001$⨳⩥⨓$8412$))","expression":"⪝⪂⫅((⪲⇎∃⊬653)⪮%⊝(∃⊬787⪛∃⊬7E8)⊭↱(∃⊬54B/∃⊬1167)⊴(∃⊬3E9⨳⩥⨓∃⊬20DC))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7446,"operation_count":8,"complexity_ratio":930.75,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1619,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1927,"base":16},"right_expr":{"type":"numeric_atoms","value":2024,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1355,"base":16},"right_expr":{"type":"numeric_atoms","value":4455,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1001,"base":16},"right_expr":{"type":"numeric_atoms","value":8412,"base":16}}}}},"used_operators":["XTarYq4gQB","COABgblf1C","IWmyXbctLI","XPYlsWDdGa","uFcxV4UQCh","Nsiff2A1zJ","XhwjNDsVaA","nCS4ZIUYfx"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3238","layer":3},{"info":"number node, value=1927","layer":4},{"info":"number node, value=2024","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=2024, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1927","layer":3},{"info":"compute binary expreesion, left_input=3238, right_input=1927, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6792","layer":2},{"info":"number node, value=1355","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=1355, right_input=4455, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=8412","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=8412, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7411","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7411, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6792, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅((⪲⇎∃⊬653)⪮%⊝(∃⊬787⪛∃⊬7E8)⊭↱(∃⊬54B/∃⊬1167)⊴(∃⊬3E9⨳⩥⨓∃⊬20DC))=NaN","reverse_text":"NaN=⪝⪂⫅((⪲⇎∃⊬653)⪮%⊝(∃⊬787⪛∃⊬7E8)⊭↱(∃⊬54B/∃⊬1167)⊴(∃⊬3E9⨳⩥⨓∃⊬20DC))","cot":[{"info":"⪲⇎∃⊬653=∃⊬CA6","layer":3},{"info":"∃⊬787⪛∃⊬7E8=∃⊬787","layer":3},{"info":"∃⊬CA6⪮%⊝∃⊬787=∃⊬1A88","layer":2},{"info":"∃⊬54B/∃⊬1167=∃⊬0","layer":3},{"info":"∃⊬3E9⨳⩥⨓∃⊬20DC=∃⊬1CF3","layer":3},{"info":"∃⊬0⊴∃⊬1CF3=NaN","layer":2},{"info":"∃⊬1A88⊭↱NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":125,"expression_no_base_symbol":"↯⪼(⨑⩽⪐($1049$≭$1369$⪄$5801$⨐⩸⫘$6278$))","expression":"↯⪼(⨑⩽⪐(∃⊬419≭∃⊬559⪄∃⊬16A9⨐⩸⫘∃⊬1886))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":40,"operation_count":5,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":1369,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5801,"base":16},"right_expr":{"type":"numeric_atoms","value":6278,"base":16}}}}},"used_operators":["8jW3W4yZS5","AF7qkfDlqP","SUmda5xLS4","rxpJgHHUmx","fu6greOZ01"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","3ViojmjbAp"],"result":"∃⊬195F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=1369","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1369, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5801","layer":4},{"info":"number node, value=6278","layer":4},{"info":"compute binary expreesion, left_input=5801, right_input=6278, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3706","layer":1},{"info":"compute unary expreesion, input=-3706, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=6495","layer":0}],"base":16,"result_base":16,"text":"↯⪼(⨑⩽⪐(∃⊬419≭∃⊬559⪄∃⊬16A9⨐⩸⫘∃⊬1886))=∃⊬195F","reverse_text":"∃⊬195F=↯⪼(⨑⩽⪐(∃⊬419≭∃⊬559⪄∃⊬16A9⨐⩸⫘∃⊬1886))","cot":[{"info":"∃⊬419≭∃⊬559=NaN","layer":3},{"info":"∃⊬16A9⨐⩸⫘∃⊬1886=NaN","layer":3},{"info":"NaN⪄NaN=∃⊬F8B","layer":2},{"info":"⨑⩽⪐∃⊬F8B=∃⊬-E7A","layer":1},{"info":"↯⪼∃⊬-E7A=∃⊬195F","layer":0}]}
{"id":126,"expression_no_base_symbol":"(↽≂(($1634$≋⫹)⪄$2642$⪮%⊝$1811$))⫥∨⫟(($7399$⨪↰⇹$4790$)↬(↩$1802$))∀⇚≩(⨑⩽⪐$5555$)∼($2128$⫡⨏$7632$)","expression":"(↽≂((∃⊬662≋⫹)⪄∃⊬A52⪮%⊝∃⊬713))⫥∨⫟((∃⊬1CE7⨪↰⇹∃⊬12B6)↬(↩∃⊬70A))∀⇚≩(⨑⩽⪐∃⊬15B3)∼(∃⊬850⫡⨏∃⊬1DD0)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7795,"operation_count":12,"complexity_ratio":649.5833333333334,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1634,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2642,"base":16},"right_expr":{"type":"numeric_atoms","value":1811,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7399,"base":16},"right_expr":{"type":"numeric_atoms","value":4790,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1802,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5555,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2128,"base":16},"right_expr":{"type":"numeric_atoms","value":7632,"base":16}}}}},"used_operators":["KYD54nUTWz","u6S6b8DprG","SUmda5xLS4","N41Kp7NANJ","IWmyXbctLI","LRNGc0VcxI","B5M0gjZbta","tmPS8pqC7x","jLgFTUHLKL","DyGG3AbaNP","AF7qkfDlqP","QMFrweE19q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe","rGHVDoGpnC","rJVOvQCfKK","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3268","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=1811, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5600","layer":3},{"info":"compute binary expreesion, left_input=-3268, right_input=5600, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7958","layer":1},{"info":"number node, value=7399","layer":4},{"info":"number node, value=4790","layer":4},{"info":"compute binary expreesion, left_input=7399, right_input=4790, 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=7399","layer":3},{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-11636","layer":3},{"info":"compute binary expreesion, left_input=7399, right_input=-11636, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5555","layer":4},{"info":"compute unary expreesion, input=5555, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5282","layer":3},{"info":"number node, value=2128","layer":4},{"info":"number node, value=7632","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=7632, 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=26687","layer":3},{"info":"compute binary expreesion, left_input=-5282, right_input=26687, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=-7958, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↽≂((∃⊬662≋⫹)⪄∃⊬A52⪮%⊝∃⊬713))⫥∨⫟((∃⊬1CE7⨪↰⇹∃⊬12B6)↬(↩∃⊬70A))∀⇚≩(⨑⩽⪐∃⊬15B3)∼(∃⊬850⫡⨏∃⊬1DD0)=NaN","reverse_text":"NaN=(↽≂((∃⊬662≋⫹)⪄∃⊬A52⪮%⊝∃⊬713))⫥∨⫟((∃⊬1CE7⨪↰⇹∃⊬12B6)↬(↩∃⊬70A))∀⇚≩(⨑⩽⪐∃⊬15B3)∼(∃⊬850⫡⨏∃⊬1DD0)","cot":[{"info":"∃⊬662≋⫹=∃⊬-CC4","layer":3},{"info":"∃⊬A52⪮%⊝∃⊬713=∃⊬15E0","layer":3},{"info":"∃⊬-CC4⪄∃⊬15E0=∃⊬F8B","layer":2},{"info":"↽≂∃⊬F8B=∃⊬-1F16","layer":1},{"info":"∃⊬1CE7⨪↰⇹∃⊬12B6=∃⊬1CE7","layer":3},{"info":"↩∃⊬70A=∃⊬-2D74","layer":3},{"info":"∃⊬1CE7↬∃⊬-2D74=NaN","layer":2},{"info":"⨑⩽⪐∃⊬15B3=∃⊬-14A2","layer":3},{"info":"∃⊬850⫡⨏∃⊬1DD0=∃⊬683F","layer":3},{"info":"∃⊬-14A2∼∃⊬683F=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬-1F16⫥∨⫟NaN=NaN","layer":0}]}
{"id":127,"expression_no_base_symbol":"((≉$5486$⪄$6530$)⊠≄⫣)⪄(($9471$⨓$3684$)⪘⫢($1011$⪄$1558$))⪘⫢($2630$⩷∴$5906$↛⩡⫤)","expression":"((≉∃⊬156E⪄∃⊬1982)⊠≄⫣)⪄((∃⊬24FF⨓∃⊬E64)⪘⫢(∃⊬3F3⪄∃⊬616))⪘⫢(∃⊬A46⩷∴∃⊬1712↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23805,"operation_count":10,"complexity_ratio":2380.5,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5486,"base":16},"right_expr":{"type":"numeric_atoms","value":6530,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":9471,"base":16},"right_expr":{"type":"numeric_atoms","value":3684,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1011,"base":16},"right_expr":{"type":"numeric_atoms","value":1558,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2630,"base":16},"right_expr":{"type":"numeric_atoms","value":5906,"base":16}}}}},"used_operators":["SUmda5xLS4","DIvbN7qnHd","e1ybzncUwg","oacrs7FA3X","3ViojmjbAp","FU0Cs4j7VP","9FxExcQeMw"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z"],"result":"∃⊬2167","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5486","layer":4},{"info":"number node, value=6530","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=6530, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-834137","layer":3},{"info":"compute unary expreesion, input=-834137, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-834137","layer":2},{"info":"compute unary expreesion, input=-834137, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=9471","layer":4},{"info":"number node, value=3684","layer":4},{"info":"compute binary expreesion, left_input=9471, right_input=3684, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3687","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=1558, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-151949","layer":3},{"info":"compute binary expreesion, left_input=-3687, right_input=-151949, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=2630","layer":4},{"info":"number node, value=5906","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=5906, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6584","layer":3},{"info":"compute unary expreesion, input=-6584, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1374","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=1374, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1160","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-1160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=8551","layer":0}],"base":16,"result_base":16,"text":"((≉∃⊬156E⪄∃⊬1982)⊠≄⫣)⪄((∃⊬24FF⨓∃⊬E64)⪘⫢(∃⊬3F3⪄∃⊬616))⪘⫢(∃⊬A46⩷∴∃⊬1712↛⩡⫤)=∃⊬2167","reverse_text":"∃⊬2167=((≉∃⊬156E⪄∃⊬1982)⊠≄⫣)⪄((∃⊬24FF⨓∃⊬E64)⪘⫢(∃⊬3F3⪄∃⊬616))⪘⫢(∃⊬A46⩷∴∃⊬1712↛⩡⫤)","cot":[{"info":"∃⊬156E⪄∃⊬1982=∃⊬-CBA59","layer":3},{"info":"≉∃⊬-CBA59=∃⊬-CBA59","layer":2},{"info":"∃⊬-CBA59⊠≄⫣=∃⊬0","layer":1},{"info":"∃⊬24FF⨓∃⊬E64=∃⊬-E67","layer":3},{"info":"∃⊬3F3⪄∃⊬616=∃⊬-2518D","layer":3},{"info":"∃⊬-E67⪘⫢∃⊬-2518D=∃⊬-1","layer":2},{"info":"∃⊬A46⩷∴∃⊬1712=∃⊬-19B8","layer":3},{"info":"∃⊬-19B8↛⩡⫤=∃⊬55E","layer":2},{"info":"∃⊬-1⪘⫢∃⊬55E=∃⊬-488","layer":1},{"info":"∃⊬0⪄∃⊬-488=∃⊬2167","layer":0}]}
{"id":128,"expression_no_base_symbol":"((⫛⫱⨽$4050$)∀⇚≩$1261$⪘⫢$2021$⨰($8889$⋝⋈⪟$2838$≎⊠⪸($1268$⫸⊐$3725$)))⊪","expression":"((⫛⫱⨽∃⊬FD2)∀⇚≩∃⊬4ED⪘⫢∃⊬7E5⨰(∃⊬22B9⋝⋈⪟∃⊬B16≎⊠⪸(∃⊬4F4⫸⊐∃⊬E8D)))⊪","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6899868,"operation_count":8,"complexity_ratio":862483.5,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":4050,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1261,"base":16},"right_expr":{"type":"numeric_atoms","value":2021,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":8889,"base":16},"right_expr":{"type":"numeric_atoms","value":2838,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1268,"base":16},"right_expr":{"type":"numeric_atoms","value":3725,"base":16}}}}},"used_operators":["zVYPLywUTj","eewbuw0ToL","LRNGc0VcxI","DlLNRPXxWL","oacrs7FA3X","bJkvcejdHO","2DDjHMKMc0","mqXw5SEYmG"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4050","layer":4},{"info":"compute unary expreesion, input=4050, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=2021, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2398","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2398, 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=2398","layer":2},{"info":"number node, value=8889","layer":4},{"info":"number node, value=2838","layer":4},{"info":"compute binary expreesion, left_input=8889, right_input=2838, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8889","layer":3},{"info":"number node, value=1268","layer":4},{"info":"number node, value=3725","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=3725, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=14775","layer":3},{"info":"compute binary expreesion, left_input=8889, right_input=14775, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2301778","layer":2},{"info":"compute binary expreesion, left_input=2398, right_input=2301778, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2299370","layer":1},{"info":"compute unary expreesion, input=-2299370, 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=inf","layer":0}],"base":16,"result_base":16,"text":"((⫛⫱⨽∃⊬FD2)∀⇚≩∃⊬4ED⪘⫢∃⊬7E5⨰(∃⊬22B9⋝⋈⪟∃⊬B16≎⊠⪸(∃⊬4F4⫸⊐∃⊬E8D)))⊪=Inf","reverse_text":"Inf=((⫛⫱⨽∃⊬FD2)∀⇚≩∃⊬4ED⪘⫢∃⊬7E5⨰(∃⊬22B9⋝⋈⪟∃⊬B16≎⊠⪸(∃⊬4F4⫸⊐∃⊬E8D)))⊪","cot":[{"info":"⫛⫱⨽∃⊬FD2=∃⊬0","layer":3},{"info":"∃⊬4ED⪘⫢∃⊬7E5=∃⊬95E","layer":3},{"info":"∃⊬0∀⇚≩∃⊬95E=∃⊬95E","layer":2},{"info":"∃⊬22B9⋝⋈⪟∃⊬B16=∃⊬22B9","layer":3},{"info":"∃⊬4F4⫸⊐∃⊬E8D=∃⊬39B7","layer":3},{"info":"∃⊬22B9≎⊠⪸∃⊬39B7=∃⊬231F52","layer":2},{"info":"∃⊬95E⨰∃⊬231F52=∃⊬-2315EA","layer":1},{"info":"∃⊬-2315EA⊪=Inf","layer":0}]}
{"id":129,"expression_no_base_symbol":"((↣≠⋷($1375$⨳⩥⨓$4767$))∑⇟⊟(($1543$⇼⇔∾$5806$)⋫))⨟⋌⩍(($1198$⊭↱$5994$)∀⇚≩($1004$⊦⊿)⩨((⋗⩬⋾$4862$)⊘))","expression":"((↣≠⋷(∃⊬55F⨳⩥⨓∃⊬129F))∑⇟⊟((∃⊬607⇼⇔∾∃⊬16AE)⋫))⨟⋌⩍((∃⊬4AE⊭↱∃⊬176A)∀⇚≩(∃⊬3EC⊦⊿)⩨((⋗⩬⋾∃⊬12FE)⊘))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71492,"operation_count":12,"complexity_ratio":5957.666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1375,"base":16},"right_expr":{"type":"numeric_atoms","value":4767,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1543,"base":16},"right_expr":{"type":"numeric_atoms","value":5806,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1198,"base":16},"right_expr":{"type":"numeric_atoms","value":5994,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1004,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4862,"base":16}}}}},"used_operators":["rGHVDoGpnC","U7g4x0WXJJ","Asc51vEJeQ","nCS4ZIUYfx","JL8yIekQnl","tifHPKVTfV","2DlMacCsIx","LRNGc0VcxI","COABgblf1C","14qkJME0vr","gu96TGCTMs","DpFCA1CohY"],"dependent_operators":["Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1375","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=4767, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3392","layer":3},{"info":"compute unary expreesion, input=3392, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1543","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=5806, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4263","layer":3},{"info":"compute unary expreesion, input=4263, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4263","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4263, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1198","layer":4},{"info":"number node, value=5994","layer":4},{"info":"compute binary expreesion, left_input=1198, right_input=5994, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9597","layer":3},{"info":"number node, value=1004","layer":4},{"info":"compute unary expreesion, input=1004, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3091","layer":3},{"info":"compute binary expreesion, left_input=9597, right_input=-3091, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4862","layer":4},{"info":"compute unary expreesion, input=4862, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14586","layer":3},{"info":"compute unary expreesion, input=-14586, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↣≠⋷(∃⊬55F⨳⩥⨓∃⊬129F))∑⇟⊟((∃⊬607⇼⇔∾∃⊬16AE)⋫))⨟⋌⩍((∃⊬4AE⊭↱∃⊬176A)∀⇚≩(∃⊬3EC⊦⊿)⩨((⋗⩬⋾∃⊬12FE)⊘))=NaN","reverse_text":"NaN=((↣≠⋷(∃⊬55F⨳⩥⨓∃⊬129F))∑⇟⊟((∃⊬607⇼⇔∾∃⊬16AE)⋫))⨟⋌⩍((∃⊬4AE⊭↱∃⊬176A)∀⇚≩(∃⊬3EC⊦⊿)⩨((⋗⩬⋾∃⊬12FE)⊘))","cot":[{"info":"∃⊬55F⨳⩥⨓∃⊬129F=∃⊬D40","layer":3},{"info":"↣≠⋷∃⊬D40=NaN","layer":2},{"info":"∃⊬607⇼⇔∾∃⊬16AE=∃⊬10A7","layer":3},{"info":"∃⊬10A7⋫=∃⊬10A7","layer":2},{"info":"NaN∑⇟⊟∃⊬10A7=NaN","layer":1},{"info":"∃⊬4AE⊭↱∃⊬176A=∃⊬257D","layer":3},{"info":"∃⊬3EC⊦⊿=∃⊬-C13","layer":3},{"info":"∃⊬257D∀⇚≩∃⊬-C13=NaN","layer":2},{"info":"⋗⩬⋾∃⊬12FE=∃⊬-38FA","layer":3},{"info":"∃⊬-38FA⊘=∃⊬-1","layer":2},{"info":"NaN⩨∃⊬-1=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":130,"expression_no_base_symbol":"(⨈⫕$1251$⩚⊴⇥$2819$≭$1884$⇷$1401$)⪘⫢(($2146$≣⋋)⨎($5029$⪄$1004$)↪⪝)","expression":"(⨈⫕∃⊬4E3⩚⊴⇥∃⊬B03≭∃⊬75C⇷∃⊬579)⪘⫢((∃⊬862≣⋋)⨎(∃⊬13A5⪄∃⊬3EC)↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":28091,"operation_count":9,"complexity_ratio":3121.222222222222,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1251,"base":16},"right_expr":{"type":"numeric_atoms","value":2819,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1884,"base":16},"right_expr":{"type":"numeric_atoms","value":1401,"base":16}}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2146,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5029,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}}}}},"used_operators":["oacrs7FA3X","megm06wKyl","rxpJgHHUmx","NTOWxs364D","mp7IySMOzn","l07mrZUIn9","rJVOvQCfKK","Tcnh7f0tEr","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1251","layer":4},{"info":"number node, value=2819","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=2819, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4191","layer":3},{"info":"number node, value=1884","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=1884, right_input=1401, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2802","layer":3},{"info":"compute binary expreesion, left_input=-4191, right_input=2802, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2146","layer":4},{"info":"compute unary expreesion, input=2146, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=5029","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=5029, right_input=1004, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-744397","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-744397, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-744397","layer":2},{"info":"compute unary expreesion, input=-744397, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-inf, 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":"(⨈⫕∃⊬4E3⩚⊴⇥∃⊬B03≭∃⊬75C⇷∃⊬579)⪘⫢((∃⊬862≣⋋)⨎(∃⊬13A5⪄∃⊬3EC)↪⪝)=∃⊬0","reverse_text":"∃⊬0=(⨈⫕∃⊬4E3⩚⊴⇥∃⊬B03≭∃⊬75C⇷∃⊬579)⪘⫢((∃⊬862≣⋋)⨎(∃⊬13A5⪄∃⊬3EC)↪⪝)","cot":[{"info":"∃⊬4E3⩚⊴⇥∃⊬B03=∃⊬-105F","layer":3},{"info":"∃⊬75C⇷∃⊬579=∃⊬AF2","layer":3},{"info":"∃⊬-105F≭∃⊬AF2=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"∃⊬862≣⋋=∃⊬0","layer":3},{"info":"∃⊬13A5⪄∃⊬3EC=∃⊬-B5BCD","layer":3},{"info":"∃⊬0⨎∃⊬-B5BCD=∃⊬-B5BCD","layer":2},{"info":"∃⊬-B5BCD↪⪝=-Inf","layer":1},{"info":"∃⊬-15⪘⫢-Inf=∃⊬0","layer":0}]}
{"id":131,"expression_no_base_symbol":"(($1169$-$3408$)⪘⫢($4512$↙$2139$))⪛(⫓⪴(⨰⫟⨤$5956$))⊪","expression":"((∃⊬491-∃⊬D50)⪘⫢(∃⊬11A0↙∃⊬85B))⪛(⫓⪴(⨰⫟⨤∃⊬1744))⊪","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25154,"operation_count":7,"complexity_ratio":3593.4285714285716,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1169,"base":16},"right_expr":{"type":"numeric_atoms","value":3408,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4512,"base":16},"right_expr":{"type":"numeric_atoms","value":2139,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5956,"base":16}}}}},"used_operators":["zVYPLywUTj","uFcxV4UQCh","oacrs7FA3X","rysDP5nf3Z","yyfyN0ffXY","eLxqMNBOBk","Tw270M8GLb"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=3408","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=3408, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2239","layer":3},{"info":"number node, value=4512","layer":4},{"info":"number node, value=2139","layer":4},{"info":"compute binary expreesion, left_input=4512, right_input=2139, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6417","layer":3},{"info":"compute binary expreesion, left_input=-2239, right_input=-6417, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=5956","layer":4},{"info":"compute unary expreesion, input=5956, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬491-∃⊬D50)⪘⫢(∃⊬11A0↙∃⊬85B))⪛(⫓⪴(⨰⫟⨤∃⊬1744))⊪=NaN","reverse_text":"NaN=((∃⊬491-∃⊬D50)⪘⫢(∃⊬11A0↙∃⊬85B))⪛(⫓⪴(⨰⫟⨤∃⊬1744))⊪","cot":[{"info":"∃⊬491-∃⊬D50=∃⊬-8BF","layer":3},{"info":"∃⊬11A0↙∃⊬85B=∃⊬-1911","layer":3},{"info":"∃⊬-8BF⪘⫢∃⊬-1911=∃⊬-1","layer":2},{"info":"⨰⫟⨤∃⊬1744=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"∃⊬-1⪛NaN=NaN","layer":1},{"info":"NaN⊪=NaN","layer":0}]}
{"id":132,"expression_no_base_symbol":"⪝⪂⫅(($3692$⨵⪆$1393$)⪛($2027$≎⊠⪸$2749$)⪨≂$3452$⊴$7587$⋳⪒($1454$+$6537$))","expression":"⪝⪂⫅((∃⊬E6C⨵⪆∃⊬571)⪛(∃⊬7EB≎⊠⪸∃⊬ABD)⪨≂∃⊬D7C⊴∃⊬1DA3⋳⪒(∃⊬5AE+∃⊬1989))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7885,"operation_count":8,"complexity_ratio":985.625,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3692,"base":16},"right_expr":{"type":"numeric_atoms","value":1393,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2027,"base":16},"right_expr":{"type":"numeric_atoms","value":2749,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3452,"base":16},"right_expr":{"type":"numeric_atoms","value":7587,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1454,"base":16},"right_expr":{"type":"numeric_atoms","value":6537,"base":16}}}}},"used_operators":["XTarYq4gQB","sdazOOVcIp","uFcxV4UQCh","2DQ55sFlQl","bJkvcejdHO","12rbrZMWeM","Nsiff2A1zJ","W4YGzv6Whe"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3692","layer":4},{"info":"number node, value=1393","layer":4},{"info":"compute binary expreesion, left_input=3692, right_input=1393, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2027","layer":4},{"info":"number node, value=2749","layer":4},{"info":"compute binary expreesion, left_input=2027, right_input=2749, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=524520","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=524520, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=160","layer":2},{"info":"number node, value=3452","layer":4},{"info":"number node, value=7587","layer":4},{"info":"compute binary expreesion, left_input=3452, right_input=7587, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1454","layer":4},{"info":"number node, value=6537","layer":4},{"info":"compute binary expreesion, left_input=1454, right_input=6537, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7991","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7991, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅((∃⊬E6C⨵⪆∃⊬571)⪛(∃⊬7EB≎⊠⪸∃⊬ABD)⪨≂∃⊬D7C⊴∃⊬1DA3⋳⪒(∃⊬5AE+∃⊬1989))=NaN","reverse_text":"NaN=⪝⪂⫅((∃⊬E6C⨵⪆∃⊬571)⪛(∃⊬7EB≎⊠⪸∃⊬ABD)⪨≂∃⊬D7C⊴∃⊬1DA3⋳⪒(∃⊬5AE+∃⊬1989))","cot":[{"info":"∃⊬E6C⨵⪆∃⊬571=∃⊬A0","layer":3},{"info":"∃⊬7EB≎⊠⪸∃⊬ABD=∃⊬800E8","layer":3},{"info":"∃⊬A0⪛∃⊬800E8=∃⊬A0","layer":2},{"info":"∃⊬D7C⊴∃⊬1DA3=NaN","layer":3},{"info":"∃⊬5AE+∃⊬1989=∃⊬1F37","layer":3},{"info":"NaN⋳⪒∃⊬1F37=NaN","layer":2},{"info":"∃⊬A0⪨≂NaN=NaN","layer":1},{"info":"⪝⪂⫅NaN=NaN","layer":0}]}
{"id":133,"expression_no_base_symbol":"(($1362$⨽$1297$)⋥≓≎$4578$⩚⊴⇥$1527$)⪮%⊝(⊙↵-(⪲⇎$4825$))*(($1418$∲⫓$2839$)↺(⊄⩳↩$4853$))⪘⫢($6474$⩷∴$1863$+⇶⊼($4279$⨽$1151$))","expression":"((∃⊬552⨽∃⊬511)⋥≓≎∃⊬11E2⩚⊴⇥∃⊬5F7)⪮%⊝(⊙↵-(⪲⇎∃⊬12D9))*((∃⊬58A∲⫓∃⊬B17)↺(⊄⩳↩∃⊬12F5))⪘⫢(∃⊬194A⩷∴∃⊬747+⇶⊼(∃⊬10B7⨽∃⊬47F))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15395,"operation_count":14,"complexity_ratio":1099.642857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1362,"base":16},"right_expr":{"type":"numeric_atoms","value":1297,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4578,"base":16},"right_expr":{"type":"numeric_atoms","value":1527,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4825,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1418,"base":16},"right_expr":{"type":"numeric_atoms","value":2839,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4853,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6474,"base":16},"right_expr":{"type":"numeric_atoms","value":1863,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4279,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}}}}},"used_operators":["9HNa5Wba9A","IWmyXbctLI","Qy55tPpLXF","8HhzD0ZcuI","NTOWxs364D","oWn0xqSxBt","XPYlsWDdGa","oacrs7FA3X","7j4O788W3g","i8ToyICDmI","8w2t5hMYqp","TpPTUOHfaN","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1362","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=1362, right_input=1297, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5567709","layer":3},{"info":"number node, value=4578","layer":4},{"info":"number node, value=1527","layer":4},{"info":"compute binary expreesion, left_input=4578, right_input=1527, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6226","layer":3},{"info":"compute binary expreesion, left_input=-5567709, right_input=-6226, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=4825","layer":4},{"info":"compute unary expreesion, input=4825, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=9650","layer":3},{"info":"compute unary expreesion, input=9650, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-1, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=450","layer":1},{"info":"number node, value=1418","layer":4},{"info":"number node, value=2839","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=2839, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4853","layer":4},{"info":"compute unary expreesion, input=4853, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14559","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14559, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-14559","layer":2},{"info":"number node, value=6474","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=6474, right_input=1863, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=9190","layer":3},{"info":"number node, value=4279","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=4279, right_input=1151, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-54931662","layer":3},{"info":"compute binary expreesion, left_input=9190, right_input=-54931662, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14559, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=450, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬552⨽∃⊬511)⋥≓≎∃⊬11E2⩚⊴⇥∃⊬5F7)⪮%⊝(⊙↵-(⪲⇎∃⊬12D9))*((∃⊬58A∲⫓∃⊬B17)↺(⊄⩳↩∃⊬12F5))⪘⫢(∃⊬194A⩷∴∃⊬747+⇶⊼(∃⊬10B7⨽∃⊬47F))=NaN","reverse_text":"NaN=((∃⊬552⨽∃⊬511)⋥≓≎∃⊬11E2⩚⊴⇥∃⊬5F7)⪮%⊝(⊙↵-(⪲⇎∃⊬12D9))*((∃⊬58A∲⫓∃⊬B17)↺(⊄⩳↩∃⊬12F5))⪘⫢(∃⊬194A⩷∴∃⊬747+⇶⊼(∃⊬10B7⨽∃⊬47F))","cot":[{"info":"∃⊬552⨽∃⊬511=∃⊬-54F4DD","layer":3},{"info":"∃⊬11E2⩚⊴⇥∃⊬5F7=∃⊬-1852","layer":3},{"info":"∃⊬-54F4DD⋥≓≎∃⊬-1852=∃⊬43","layer":2},{"info":"⪲⇎∃⊬12D9=∃⊬25B2","layer":3},{"info":"⊙↵-∃⊬25B2=∃⊬-1","layer":2},{"info":"∃⊬43⪮%⊝∃⊬-1=∃⊬1C2","layer":1},{"info":"∃⊬58A∲⫓∃⊬B17=∃⊬0","layer":3},{"info":"⊄⩳↩∃⊬12F5=∃⊬-38DF","layer":3},{"info":"∃⊬0↺∃⊬-38DF=∃⊬-38DF","layer":2},{"info":"∃⊬194A⩷∴∃⊬747=∃⊬23E6","layer":3},{"info":"∃⊬10B7⨽∃⊬47F=∃⊬-34630CE","layer":3},{"info":"∃⊬23E6+⇶⊼∃⊬-34630CE=NaN","layer":2},{"info":"∃⊬-38DF⪘⫢NaN=NaN","layer":1},{"info":"∃⊬1C2*NaN=NaN","layer":0}]}
{"id":134,"expression_no_base_symbol":"(($1124$+⇶⊼$6092$)⪘⫢(⪝⪂⫅$2953$)-($1692$⫡⨏$2316$)⨰($4196$⪄$4526$))≹⇙⪍(($4769$⇷$3278$*($1945$⊉≛↸$4129$))⇷(⫛⫱⨽($4151$⫸⊐$3904$)))","expression":"((∃⊬464+⇶⊼∃⊬17CC)⪘⫢(⪝⪂⫅∃⊬B89)-(∃⊬69C⫡⨏∃⊬90C)⨰(∃⊬1064⪄∃⊬11AE))≹⇙⪍((∃⊬12A1⇷∃⊬CCE*(∃⊬799⊉≛↸∃⊬1021))⇷(⫛⫱⨽(∃⊬1037⫸⊐∃⊬F40)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":72387,"operation_count":14,"complexity_ratio":5170.5,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1124,"base":16},"right_expr":{"type":"numeric_atoms","value":6092,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2953,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1692,"base":16},"right_expr":{"type":"numeric_atoms","value":2316,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4196,"base":16},"right_expr":{"type":"numeric_atoms","value":4526,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4769,"base":16},"right_expr":{"type":"numeric_atoms","value":3278,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1945,"base":16},"right_expr":{"type":"numeric_atoms","value":4129,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4151,"base":16},"right_expr":{"type":"numeric_atoms","value":3904,"base":16}}}}},"used_operators":["AHs5Up7iyr","rysDP5nf3Z","oacrs7FA3X","TpPTUOHfaN","XTarYq4gQB","eewbuw0ToL","QMFrweE19q","SUmda5xLS4","mp7IySMOzn","9HNa5Wba9A","DZ8iAZOCBD","DlLNRPXxWL","mqXw5SEYmG"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1124","layer":4},{"info":"number node, value=6092","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=6092, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2953","layer":4},{"info":"compute unary expreesion, input=2953, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-434091","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-434091, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1692","layer":4},{"info":"number node, value=2316","layer":4},{"info":"compute binary expreesion, left_input=1692, right_input=2316, 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=13875","layer":3},{"info":"number node, value=4196","layer":4},{"info":"number node, value=4526","layer":4},{"info":"compute binary expreesion, left_input=4196, right_input=4526, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-635201","layer":3},{"info":"compute binary expreesion, left_input=13875, right_input=-635201, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=649086","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=649086, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4769","layer":4},{"info":"number node, value=3278","layer":4},{"info":"compute binary expreesion, left_input=4769, right_input=3278, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6556","layer":3},{"info":"number node, value=1945","layer":4},{"info":"number node, value=4129","layer":4},{"info":"compute binary expreesion, left_input=1945, right_input=4129, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3890","layer":3},{"info":"compute binary expreesion, left_input=6556, right_input=3890, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=25502840","layer":2},{"info":"number node, value=4151","layer":4},{"info":"number node, value=3904","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=3904, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15491","layer":3},{"info":"compute unary expreesion, input=15491, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=25502840, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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":"((∃⊬464+⇶⊼∃⊬17CC)⪘⫢(⪝⪂⫅∃⊬B89)-(∃⊬69C⫡⨏∃⊬90C)⨰(∃⊬1064⪄∃⊬11AE))≹⇙⪍((∃⊬12A1⇷∃⊬CCE*(∃⊬799⊉≛↸∃⊬1021))⇷(⫛⫱⨽(∃⊬1037⫸⊐∃⊬F40)))=NaN","reverse_text":"NaN=((∃⊬464+⇶⊼∃⊬17CC)⪘⫢(⪝⪂⫅∃⊬B89)-(∃⊬69C⫡⨏∃⊬90C)⨰(∃⊬1064⪄∃⊬11AE))≹⇙⪍((∃⊬12A1⇷∃⊬CCE*(∃⊬799⊉≛↸∃⊬1021))⇷(⫛⫱⨽(∃⊬1037⫸⊐∃⊬F40)))","cot":[{"info":"∃⊬464+⇶⊼∃⊬17CC=NaN","layer":3},{"info":"⪝⪂⫅∃⊬B89=∃⊬-69FAB","layer":3},{"info":"NaN⪘⫢∃⊬-69FAB=NaN","layer":2},{"info":"∃⊬69C⫡⨏∃⊬90C=∃⊬3633","layer":3},{"info":"∃⊬1064⪄∃⊬11AE=∃⊬-9B141","layer":3},{"info":"∃⊬3633⨰∃⊬-9B141=∃⊬9E77E","layer":2},{"info":"NaN-∃⊬9E77E=NaN","layer":1},{"info":"∃⊬12A1⇷∃⊬CCE=∃⊬199C","layer":3},{"info":"∃⊬799⊉≛↸∃⊬1021=∃⊬F32","layer":3},{"info":"∃⊬199C*∃⊬F32=∃⊬1852478","layer":2},{"info":"∃⊬1037⫸⊐∃⊬F40=∃⊬3C83","layer":3},{"info":"⫛⫱⨽∃⊬3C83=∃⊬0","layer":2},{"info":"∃⊬1852478⇷∃⊬0=∃⊬0","layer":1},{"info":"NaN≹⇙⪍∃⊬0=NaN","layer":0}]}
{"id":135,"expression_no_base_symbol":"⨵≀≌($3074$⇷$4425$⫥∨⫟$1062$≭$1540$%$1504$⨰$3915$*$1169$⫸⊐$1048$)","expression":"⨵≀≌(∃⊬C02⇷∃⊬1149⫥∨⫟∃⊬426≭∃⊬604%∃⊬5E0⨰∃⊬F4B*∃⊬491⫸⊐∃⊬418)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45632,"operation_count":8,"complexity_ratio":5704.0,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3074,"base":16},"right_expr":{"type":"numeric_atoms","value":4425,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1062,"base":16},"right_expr":{"type":"numeric_atoms","value":1540,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1504,"base":16},"right_expr":{"type":"numeric_atoms","value":3915,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1169,"base":16},"right_expr":{"type":"numeric_atoms","value":1048,"base":16}}}}},"used_operators":["srAu1WTS94","k8jYdgA6NY","KYD54nUTWz","mp7IySMOzn","rxpJgHHUmx","9HNa5Wba9A","eewbuw0ToL","mqXw5SEYmG"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3074","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=3074, right_input=4425, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8850","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=1540","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=1540, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8850, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1504","layer":4},{"info":"number node, value=3915","layer":4},{"info":"compute binary expreesion, left_input=1504, right_input=3915, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2401","layer":3},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1048, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4067","layer":3},{"info":"compute binary expreesion, left_input=-2401, right_input=4067, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9764867","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9764867, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"⨵≀≌(∃⊬C02⇷∃⊬1149⫥∨⫟∃⊬426≭∃⊬604%∃⊬5E0⨰∃⊬F4B*∃⊬491⫸⊐∃⊬418)=NaN","reverse_text":"NaN=⨵≀≌(∃⊬C02⇷∃⊬1149⫥∨⫟∃⊬426≭∃⊬604%∃⊬5E0⨰∃⊬F4B*∃⊬491⫸⊐∃⊬418)","cot":[{"info":"∃⊬C02⇷∃⊬1149=∃⊬2292","layer":3},{"info":"∃⊬426≭∃⊬604=NaN","layer":3},{"info":"∃⊬2292⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬5E0⨰∃⊬F4B=∃⊬-961","layer":3},{"info":"∃⊬491⫸⊐∃⊬418=∃⊬FE3","layer":3},{"info":"∃⊬-961*∃⊬FE3=∃⊬-950003","layer":2},{"info":"NaN%∃⊬-950003=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":136,"expression_no_base_symbol":"(↔(($1652$⋓$1647$)⨓($1326$⨸⪁$5741$)))⪐","expression":"(↔((∃⊬674⋓∃⊬66F)⨓(∃⊬52E⨸⪁∃⊬166D)))⪐","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":14180,"operation_count":5,"complexity_ratio":2836.0,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1652,"base":16},"right_expr":{"type":"numeric_atoms","value":1647,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1326,"base":16},"right_expr":{"type":"numeric_atoms","value":5741,"base":16}}}}},"used_operators":["eH2TOUuTDT","ruOEQAzv1W","3ViojmjbAp","T2fj7uvVaJ","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe"],"result":"∃⊬-10C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=1647, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1326","layer":4},{"info":"number node, value=5741","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=5741, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14134","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14134, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-14137","layer":2},{"info":"compute unary expreesion, input=-14137, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute unary expreesion, input=-134, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-268","layer":0}],"base":16,"result_base":16,"text":"(↔((∃⊬674⋓∃⊬66F)⨓(∃⊬52E⨸⪁∃⊬166D)))⪐=∃⊬-10C","reverse_text":"∃⊬-10C=(↔((∃⊬674⋓∃⊬66F)⨓(∃⊬52E⨸⪁∃⊬166D)))⪐","cot":[{"info":"∃⊬674⋓∃⊬66F=∃⊬0","layer":3},{"info":"∃⊬52E⨸⪁∃⊬166D=∃⊬3736","layer":3},{"info":"∃⊬0⨓∃⊬3736=∃⊬-3739","layer":2},{"info":"↔∃⊬-3739=∃⊬-86","layer":1},{"info":"∃⊬-86⪐=∃⊬-10C","layer":0}]}
{"id":137,"expression_no_base_symbol":"((⪝⪂⫅$2559$)∼($2145$⇋≉)⊉≛↸$7387$⋳⪒$1011$⫥∨⫟(⋗⩬⋾$1041$))⋝⋈⪟((⨈⫕$2275$≎⊠⪸$2056$)≭(≦∁$3345$)⩷∴($2810$⨸⪁$1111$))","expression":"((⪝⪂⫅∃⊬9FF)∼(∃⊬861⇋≉)⊉≛↸∃⊬1CDB⋳⪒∃⊬3F3⫥∨⫟(⋗⩬⋾∃⊬411))⋝⋈⪟((⨈⫕∃⊬8E3≎⊠⪸∃⊬808)≭(≦∁∃⊬D11)⩷∴(∃⊬AFA⨸⪁∃⊬457))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8366,"operation_count":14,"complexity_ratio":597.5714285714286,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2559,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2145,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7387,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1041,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2275,"base":16},"right_expr":{"type":"numeric_atoms","value":2056,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3345,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2810,"base":16},"right_expr":{"type":"numeric_atoms","value":1111,"base":16}}}}},"used_operators":["2DDjHMKMc0","DZ8iAZOCBD","DyGG3AbaNP","XTarYq4gQB","XIabStNQrY","KYD54nUTWz","12rbrZMWeM","DpFCA1CohY","rxpJgHHUmx","megm06wKyl","bJkvcejdHO","9FxExcQeMw","9ICcGScMcE","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"compute unary expreesion, input=2559, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-376173","layer":3},{"info":"number node, value=2145","layer":4},{"info":"compute unary expreesion, input=2145, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4192","layer":3},{"info":"compute binary expreesion, left_input=-376173, right_input=4192, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=7387","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=7387, right_input=1011, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13476","layer":3},{"info":"number node, value=1041","layer":4},{"info":"compute unary expreesion, input=1041, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3123","layer":3},{"info":"compute binary expreesion, left_input=13476, right_input=-3123, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"number node, value=2275","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=2056, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=588752","layer":3},{"info":"compute unary expreesion, input=588752, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=3345","layer":4},{"info":"compute unary expreesion, input=3345, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3345","layer":3},{"info":"number node, value=2810","layer":4},{"info":"number node, value=1111","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=1111, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7842","layer":3},{"info":"compute binary expreesion, left_input=3345, right_input=7842, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-9026","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-9026, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪝⪂⫅∃⊬9FF)∼(∃⊬861⇋≉)⊉≛↸∃⊬1CDB⋳⪒∃⊬3F3⫥∨⫟(⋗⩬⋾∃⊬411))⋝⋈⪟((⨈⫕∃⊬8E3≎⊠⪸∃⊬808)≭(≦∁∃⊬D11)⩷∴(∃⊬AFA⨸⪁∃⊬457))=NaN","reverse_text":"NaN=((⪝⪂⫅∃⊬9FF)∼(∃⊬861⇋≉)⊉≛↸∃⊬1CDB⋳⪒∃⊬3F3⫥∨⫟(⋗⩬⋾∃⊬411))⋝⋈⪟((⨈⫕∃⊬8E3≎⊠⪸∃⊬808)≭(≦∁∃⊬D11)⩷∴(∃⊬AFA⨸⪁∃⊬457))","cot":[{"info":"⪝⪂⫅∃⊬9FF=∃⊬-5BD6D","layer":3},{"info":"∃⊬861⇋≉=∃⊬1060","layer":3},{"info":"∃⊬-5BD6D∼∃⊬1060=NaN","layer":2},{"info":"∃⊬1CDB⋳⪒∃⊬3F3=∃⊬34A4","layer":3},{"info":"⋗⩬⋾∃⊬411=∃⊬-C33","layer":3},{"info":"∃⊬34A4⫥∨⫟∃⊬-C33=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"∃⊬8E3≎⊠⪸∃⊬808=∃⊬8FBD0","layer":3},{"info":"⨈⫕∃⊬8FBD0=∃⊬-15","layer":2},{"info":"≦∁∃⊬D11=∃⊬D11","layer":3},{"info":"∃⊬AFA⨸⪁∃⊬457=∃⊬1EA2","layer":3},{"info":"∃⊬D11⩷∴∃⊬1EA2=∃⊬-2342","layer":2},{"info":"∃⊬-15≭∃⊬-2342=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":138,"expression_no_base_symbol":"(((⨑⩽⪐$5227$)+⇶⊼($1280$/$4918$))⪘⫢($1760$+⇶⊼$2725$⪄$1385$⨳⩥⨓$7286$))⪮%⊝(($1493$⨪↰⇹$1141$)⨟⋌⩍(⨑⩽⪐$2381$)⩷∴(⨈⫕($2274$⊉≛↸$2787$)))","expression":"(((⨑⩽⪐∃⊬146B)+⇶⊼(∃⊬500/∃⊬1336))⪘⫢(∃⊬6E0+⇶⊼∃⊬AA5⪄∃⊬569⨳⩥⨓∃⊬1C76))⪮%⊝((∃⊬5D5⨪↰⇹∃⊬475)⨟⋌⩍(⨑⩽⪐∃⊬94D)⩷∴(⨈⫕(∃⊬8E2⊉≛↸∃⊬AE3)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1951,"operation_count":14,"complexity_ratio":139.35714285714286,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5227,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1280,"base":16},"right_expr":{"type":"numeric_atoms","value":4918,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1760,"base":16},"right_expr":{"type":"numeric_atoms","value":2725,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1385,"base":16},"right_expr":{"type":"numeric_atoms","value":7286,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1493,"base":16},"right_expr":{"type":"numeric_atoms","value":1141,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2381,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2274,"base":16},"right_expr":{"type":"numeric_atoms","value":2787,"base":16}}}}},"used_operators":["IWmyXbctLI","oacrs7FA3X","TpPTUOHfaN","AF7qkfDlqP","XhwjNDsVaA","SUmda5xLS4","nCS4ZIUYfx","9FxExcQeMw","rGHVDoGpnC","tmPS8pqC7x","megm06wKyl","DZ8iAZOCBD"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","Tcnh7f0tEr","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5227","layer":4},{"info":"compute unary expreesion, input=5227, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4954","layer":3},{"info":"number node, value=1280","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=4918, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4954, right_input=0, 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=0","layer":2},{"info":"number node, value=1760","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=2725, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1385","layer":4},{"info":"number node, value=7286","layer":4},{"info":"compute binary expreesion, left_input=1385, right_input=7286, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5901","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5901, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=3979, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":1},{"info":"number node, value=1493","layer":4},{"info":"number node, value=1141","layer":4},{"info":"compute binary expreesion, left_input=1493, right_input=1141, 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=1493","layer":3},{"info":"number node, value=2381","layer":4},{"info":"compute unary expreesion, input=2381, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2108","layer":3},{"info":"compute binary expreesion, left_input=1493, right_input=-2108, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2274","layer":4},{"info":"number node, value=2787","layer":4},{"info":"compute binary expreesion, left_input=2274, right_input=2787, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4548","layer":3},{"info":"compute unary expreesion, input=4548, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-1156, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((⨑⩽⪐∃⊬146B)+⇶⊼(∃⊬500/∃⊬1336))⪘⫢(∃⊬6E0+⇶⊼∃⊬AA5⪄∃⊬569⨳⩥⨓∃⊬1C76))⪮%⊝((∃⊬5D5⨪↰⇹∃⊬475)⨟⋌⩍(⨑⩽⪐∃⊬94D)⩷∴(⨈⫕(∃⊬8E2⊉≛↸∃⊬AE3)))=NaN","reverse_text":"NaN=(((⨑⩽⪐∃⊬146B)+⇶⊼(∃⊬500/∃⊬1336))⪘⫢(∃⊬6E0+⇶⊼∃⊬AA5⪄∃⊬569⨳⩥⨓∃⊬1C76))⪮%⊝((∃⊬5D5⨪↰⇹∃⊬475)⨟⋌⩍(⨑⩽⪐∃⊬94D)⩷∴(⨈⫕(∃⊬8E2⊉≛↸∃⊬AE3)))","cot":[{"info":"⨑⩽⪐∃⊬146B=∃⊬-135A","layer":3},{"info":"∃⊬500/∃⊬1336=∃⊬0","layer":3},{"info":"∃⊬-135A+⇶⊼∃⊬0=∃⊬0","layer":2},{"info":"∃⊬6E0+⇶⊼∃⊬AA5=NaN","layer":3},{"info":"∃⊬569⨳⩥⨓∃⊬1C76=∃⊬170D","layer":3},{"info":"NaN⪄∃⊬170D=∃⊬F8B","layer":2},{"info":"∃⊬0⪘⫢∃⊬F8B=∃⊬-484","layer":1},{"info":"∃⊬5D5⨪↰⇹∃⊬475=∃⊬5D5","layer":3},{"info":"⨑⩽⪐∃⊬94D=∃⊬-83C","layer":3},{"info":"∃⊬5D5⨟⋌⩍∃⊬-83C=NaN","layer":2},{"info":"∃⊬8E2⊉≛↸∃⊬AE3=∃⊬11C4","layer":3},{"info":"⨈⫕∃⊬11C4=∃⊬-15","layer":2},{"info":"NaN⩷∴∃⊬-15=NaN","layer":1},{"info":"∃⊬-484⪮%⊝NaN=NaN","layer":0}]}
{"id":139,"expression_no_base_symbol":"↯⪼((⨵≀≌($3311$⊠≄⫣))⩷∴((⨞⊢$1225$)⨰($2030$⊭↱$2298$)))","expression":"↯⪼((⨵≀≌(∃⊬CEF⊠≄⫣))⩷∴((⨞⊢∃⊬4C9)⨰(∃⊬7EE⊭↱∃⊬8FA)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":60,"operation_count":7,"complexity_ratio":8.571428571428571,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3311,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1225,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2030,"base":16},"right_expr":{"type":"numeric_atoms","value":2298,"base":16}}}}},"used_operators":["8jW3W4yZS5","9FxExcQeMw","srAu1WTS94","DIvbN7qnHd","eewbuw0ToL","xUOZtlo3hN","COABgblf1C"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3311","layer":4},{"info":"compute unary expreesion, input=3311, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"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":2},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1399","layer":3},{"info":"number node, value=2030","layer":4},{"info":"number node, value=2298","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=2298, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=541","layer":3},{"info":"compute binary expreesion, left_input=-1399, right_input=541, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1930","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1930, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3828","layer":1},{"info":"compute unary expreesion, input=3828, 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":"↯⪼((⨵≀≌(∃⊬CEF⊠≄⫣))⩷∴((⨞⊢∃⊬4C9)⨰(∃⊬7EE⊭↱∃⊬8FA)))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼((⨵≀≌(∃⊬CEF⊠≄⫣))⩷∴((⨞⊢∃⊬4C9)⨰(∃⊬7EE⊭↱∃⊬8FA)))","cot":[{"info":"∃⊬CEF⊠≄⫣=∃⊬0","layer":3},{"info":"⨵≀≌∃⊬0=∃⊬0","layer":2},{"info":"⨞⊢∃⊬4C9=∃⊬-577","layer":3},{"info":"∃⊬7EE⊭↱∃⊬8FA=∃⊬21D","layer":3},{"info":"∃⊬-577⨰∃⊬21D=∃⊬-78A","layer":2},{"info":"∃⊬0⩷∴∃⊬-78A=∃⊬EF4","layer":1},{"info":"↯⪼∃⊬EF4=∃⊬-15","layer":0}]}
{"id":140,"expression_no_base_symbol":"((⨞⊢$5242$)⩷∴($2568$⋳⪒$3494$)⪐)⋥≓≎((⩦⩻⨪$2786$)⋫)⋥≓≎(⩦⩻⨪($8172$*$3858$))","expression":"((⨞⊢∃⊬147A)⩷∴(∃⊬A08⋳⪒∃⊬DA6)⪐)⋥≓≎((⩦⩻⨪∃⊬AE2)⋫)⋥≓≎(⩦⩻⨪(∃⊬1FEC*∃⊬F12))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6673,"operation_count":10,"complexity_ratio":667.3,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5242,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2568,"base":16},"right_expr":{"type":"numeric_atoms","value":3494,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2786,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8172,"base":16},"right_expr":{"type":"numeric_atoms","value":3858,"base":16}}}}},"used_operators":["Qy55tPpLXF","eH2TOUuTDT","9FxExcQeMw","xUOZtlo3hN","12rbrZMWeM","JL8yIekQnl","2td37pGCOC","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5242","layer":4},{"info":"compute unary expreesion, input=5242, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5416","layer":3},{"info":"number node, value=2568","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=2568, right_input=3494, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1355","layer":3},{"info":"compute binary expreesion, left_input=-5416, right_input=1355, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13574","layer":2},{"info":"compute unary expreesion, input=-13574, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-27148","layer":1},{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2786","layer":3},{"info":"compute unary expreesion, input=2786, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2786","layer":2},{"info":"number node, value=8172","layer":4},{"info":"number node, value=3858","layer":4},{"info":"compute binary expreesion, left_input=8172, right_input=3858, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=31527576","layer":3},{"info":"compute unary expreesion, input=31527576, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=31527576","layer":2},{"info":"compute binary expreesion, left_input=2786, right_input=31527576, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=63052399","layer":1},{"info":"compute binary expreesion, left_input=-27148, right_input=63052399, 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":"((⨞⊢∃⊬147A)⩷∴(∃⊬A08⋳⪒∃⊬DA6)⪐)⋥≓≎((⩦⩻⨪∃⊬AE2)⋫)⋥≓≎(⩦⩻⨪(∃⊬1FEC*∃⊬F12))=∃⊬43","reverse_text":"∃⊬43=((⨞⊢∃⊬147A)⩷∴(∃⊬A08⋳⪒∃⊬DA6)⪐)⋥≓≎((⩦⩻⨪∃⊬AE2)⋫)⋥≓≎(⩦⩻⨪(∃⊬1FEC*∃⊬F12))","cot":[{"info":"⨞⊢∃⊬147A=∃⊬-1528","layer":3},{"info":"∃⊬A08⋳⪒∃⊬DA6=∃⊬54B","layer":3},{"info":"∃⊬-1528⩷∴∃⊬54B=∃⊬-3506","layer":2},{"info":"∃⊬-3506⪐=∃⊬-6A0C","layer":1},{"info":"⩦⩻⨪∃⊬AE2=∃⊬AE2","layer":3},{"info":"∃⊬AE2⋫=∃⊬AE2","layer":2},{"info":"∃⊬1FEC*∃⊬F12=∃⊬1E11298","layer":3},{"info":"⩦⩻⨪∃⊬1E11298=∃⊬1E11298","layer":2},{"info":"∃⊬AE2⋥≓≎∃⊬1E11298=∃⊬3C21A6F","layer":1},{"info":"∃⊬-6A0C⋥≓≎∃⊬3C21A6F=∃⊬43","layer":0}]}
{"id":141,"expression_no_base_symbol":"⪲⇎(($3897$∑⇟⊟$1669$)≹⇙⪍(↣≠⋷$1311$)↺(($1786$⊪)⫡⨏(-$4564$)))","expression":"⪲⇎((∃⊬F39∑⇟⊟∃⊬685)≹⇙⪍(↣≠⋷∃⊬51F)↺((∃⊬6FA⊪)⫡⨏(-∃⊬11D4)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":50,"operation_count":8,"complexity_ratio":6.25,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3897,"base":16},"right_expr":{"type":"numeric_atoms","value":1669,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1311,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1786,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4564,"base":16}}}}},"used_operators":["XPYlsWDdGa","7j4O788W3g","AHs5Up7iyr","U7g4x0WXJJ","Asc51vEJeQ","QMFrweE19q","zVYPLywUTj","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬-4132","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3897","layer":4},{"info":"number node, value=1669","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=1669, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1311","layer":4},{"info":"compute unary expreesion, input=1311, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"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":2},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=4564","layer":4},{"info":"compute unary expreesion, input=4564, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4564","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-4564, 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=-8345","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8345, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-8345","layer":1},{"info":"compute unary expreesion, input=-8345, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-16690","layer":0}],"base":16,"result_base":16,"text":"⪲⇎((∃⊬F39∑⇟⊟∃⊬685)≹⇙⪍(↣≠⋷∃⊬51F)↺((∃⊬6FA⊪)⫡⨏(-∃⊬11D4)))=∃⊬-4132","reverse_text":"∃⊬-4132=⪲⇎((∃⊬F39∑⇟⊟∃⊬685)≹⇙⪍(↣≠⋷∃⊬51F)↺((∃⊬6FA⊪)⫡⨏(-∃⊬11D4)))","cot":[{"info":"∃⊬F39∑⇟⊟∃⊬685=NaN","layer":3},{"info":"↣≠⋷∃⊬51F=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"∃⊬6FA⊪=∃⊬0","layer":3},{"info":"-∃⊬11D4=∃⊬-11D4","layer":3},{"info":"∃⊬0⫡⨏∃⊬-11D4=∃⊬-2099","layer":2},{"info":"NaN↺∃⊬-2099=∃⊬-2099","layer":1},{"info":"⪲⇎∃⊬-2099=∃⊬-4132","layer":0}]}
{"id":142,"expression_no_base_symbol":"((↣≠⋷$1465$)⊪)∑⇟⊟(∂($1411$%$1133$))⋝⋈⪟(($1169$⪒$1085$)⨰$6018$⪢$3072$⊘)","expression":"((↣≠⋷∃⊬5B9)⊪)∑⇟⊟(∂(∃⊬583%∃⊬46D))⋝⋈⪟((∃⊬491⪒∃⊬43D)⨰∃⊬1782⪢∃⊬C00⊘)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4824,"operation_count":10,"complexity_ratio":482.4,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1465,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1411,"base":16},"right_expr":{"type":"numeric_atoms","value":1133,"base":16}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1169,"base":16},"right_expr":{"type":"numeric_atoms","value":1085,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6018,"base":16},"right_expr":{"type":"numeric_atoms","value":3072,"base":16}}}}},"used_operators":["2DDjHMKMc0","U7g4x0WXJJ","zVYPLywUTj","Asc51vEJeQ","Uaa54Peajs","k8jYdgA6NY","gu96TGCTMs","eewbuw0ToL","f6k1SAg4EE","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1465","layer":4},{"info":"compute unary expreesion, input=1465, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"number node, value=1411","layer":4},{"info":"number node, value=1133","layer":4},{"info":"compute binary expreesion, left_input=1411, right_input=1133, op_id = k8jYdgA6NY binary_op_definition= 'None', output=278","layer":3},{"info":"compute unary expreesion, input=278, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1169","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=1085, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2254","layer":3},{"info":"number node, value=6018","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=6018, right_input=3072, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2254, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↣≠⋷∃⊬5B9)⊪)∑⇟⊟(∂(∃⊬583%∃⊬46D))⋝⋈⪟((∃⊬491⪒∃⊬43D)⨰∃⊬1782⪢∃⊬C00⊘)=NaN","reverse_text":"NaN=((↣≠⋷∃⊬5B9)⊪)∑⇟⊟(∂(∃⊬583%∃⊬46D))⋝⋈⪟((∃⊬491⪒∃⊬43D)⨰∃⊬1782⪢∃⊬C00⊘)","cot":[{"info":"↣≠⋷∃⊬5B9=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"∃⊬583%∃⊬46D=∃⊬116","layer":3},{"info":"∂∃⊬116=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"∃⊬491⪒∃⊬43D=∃⊬-8CE","layer":3},{"info":"∃⊬1782⪢∃⊬C00=NaN","layer":3},{"info":"∃⊬-8CE⨰NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":143,"expression_no_base_symbol":"((⨞⊢$3331$)⩚⊴⇥$3503$⨪↰⇹$1437$)≧⫂∧($1561$⪢$5845$⨐⩸⫘($5999$⨵⪆$4269$))⨰((∂(⪝⪂⫅$1040$))⫸⊐((⋗⩬⋾$5165$)≫≃))","expression":"((⨞⊢∃⊬D03)⩚⊴⇥∃⊬DAF⨪↰⇹∃⊬59D)≧⫂∧(∃⊬619⪢∃⊬16D5⨐⩸⫘(∃⊬176F⨵⪆∃⊬10AD))⨰((∂(⪝⪂⫅∃⊬410))⫸⊐((⋗⩬⋾∃⊬142D)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36521,"operation_count":13,"complexity_ratio":2809.3076923076924,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3331,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3503,"base":16},"right_expr":{"type":"numeric_atoms","value":1437,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1561,"base":16},"right_expr":{"type":"numeric_atoms","value":5845,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5999,"base":16},"right_expr":{"type":"numeric_atoms","value":4269,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1040,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5165,"base":16}}}}},"used_operators":["eewbuw0ToL","Ph9nP6C5qx","NTOWxs364D","xUOZtlo3hN","tmPS8pqC7x","fu6greOZ01","dWAJyo7jo9","2DQ55sFlQl","mqXw5SEYmG","Uaa54Peajs","XTarYq4gQB","X99M06cbEe","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","3ViojmjbAp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬E7E1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3505","layer":3},{"info":"number node, value=3503","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=3503, right_input=1437, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=3503","layer":3},{"info":"compute binary expreesion, left_input=-3505, right_input=3503, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-119","layer":2},{"info":"number node, value=1561","layer":4},{"info":"number node, value=5845","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=5845, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5999","layer":4},{"info":"number node, value=4269","layer":4},{"info":"compute binary expreesion, left_input=5999, right_input=4269, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute binary expreesion, left_input=-119, right_input=-163, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=44","layer":1},{"info":"number node, value=1040","layer":4},{"info":"compute unary expreesion, input=1040, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-152880","layer":3},{"info":"compute unary expreesion, input=-152880, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=152616","layer":2},{"info":"number node, value=5165","layer":4},{"info":"compute unary expreesion, input=5165, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15495","layer":3},{"info":"compute unary expreesion, input=-15495, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-29589","layer":2},{"info":"compute binary expreesion, left_input=152616, right_input=-29589, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-59307","layer":1},{"info":"compute binary expreesion, left_input=44, right_input=-59307, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=59361","layer":0}],"base":16,"result_base":16,"text":"((⨞⊢∃⊬D03)⩚⊴⇥∃⊬DAF⨪↰⇹∃⊬59D)≧⫂∧(∃⊬619⪢∃⊬16D5⨐⩸⫘(∃⊬176F⨵⪆∃⊬10AD))⨰((∂(⪝⪂⫅∃⊬410))⫸⊐((⋗⩬⋾∃⊬142D)≫≃))=∃⊬E7E1","reverse_text":"∃⊬E7E1=((⨞⊢∃⊬D03)⩚⊴⇥∃⊬DAF⨪↰⇹∃⊬59D)≧⫂∧(∃⊬619⪢∃⊬16D5⨐⩸⫘(∃⊬176F⨵⪆∃⊬10AD))⨰((∂(⪝⪂⫅∃⊬410))⫸⊐((⋗⩬⋾∃⊬142D)≫≃))","cot":[{"info":"⨞⊢∃⊬D03=∃⊬-DB1","layer":3},{"info":"∃⊬DAF⨪↰⇹∃⊬59D=∃⊬DAF","layer":3},{"info":"∃⊬-DB1⩚⊴⇥∃⊬DAF=∃⊬-77","layer":2},{"info":"∃⊬619⪢∃⊬16D5=NaN","layer":3},{"info":"∃⊬176F⨵⪆∃⊬10AD=∃⊬A0","layer":3},{"info":"NaN⨐⩸⫘∃⊬A0=∃⊬-A3","layer":2},{"info":"∃⊬-77≧⫂∧∃⊬-A3=∃⊬2C","layer":1},{"info":"⪝⪂⫅∃⊬410=∃⊬-25530","layer":3},{"info":"∂∃⊬-25530=∃⊬25428","layer":2},{"info":"⋗⩬⋾∃⊬142D=∃⊬-3C87","layer":3},{"info":"∃⊬-3C87≫≃=∃⊬-7395","layer":2},{"info":"∃⊬25428⫸⊐∃⊬-7395=∃⊬-E7AB","layer":1},{"info":"∃⊬2C⨰∃⊬-E7AB=∃⊬E7E1","layer":0}]}
{"id":144,"expression_no_base_symbol":"((⊥$7758$)⪮%⊝($3558$⨵⪆$1086$)⩨($1174$⫡⨏$2216$)⋝⋈⪟$6242$⨟⋌⩍$2192$)⪮%⊝((⨑⩽⪐($1091$⊭↱$8435$))+⇶⊼(⋗⩬⋾($3693$∸)))","expression":"((⊥∃⊬1E4E)⪮%⊝(∃⊬DE6⨵⪆∃⊬43E)⩨(∃⊬496⫡⨏∃⊬8A8)⋝⋈⪟∃⊬1862⨟⋌⩍∃⊬890)⪮%⊝((⨑⩽⪐(∃⊬443⊭↱∃⊬20F3))+⇶⊼(⋗⩬⋾(∃⊬E6D∸)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":226,"operation_count":13,"complexity_ratio":17.384615384615383,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7758,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3558,"base":16},"right_expr":{"type":"numeric_atoms","value":1086,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1174,"base":16},"right_expr":{"type":"numeric_atoms","value":2216,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6242,"base":16},"right_expr":{"type":"numeric_atoms","value":2192,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":8435,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3693,"base":16}}}}},"used_operators":["IWmyXbctLI","2DlMacCsIx","Q3PJZHRvZv","2DQ55sFlQl","2DDjHMKMc0","QMFrweE19q","rGHVDoGpnC","TpPTUOHfaN","AF7qkfDlqP","COABgblf1C","DpFCA1CohY","o20kRiQErp"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7758","layer":4},{"info":"compute unary expreesion, input=7758, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=1086, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1174","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=2216, 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=11085","layer":3},{"info":"number node, value=6242","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=6242, right_input=2192, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11085, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=1091","layer":4},{"info":"number node, value=8435","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=8435, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=14693","layer":3},{"info":"compute unary expreesion, input=14693, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-14420","layer":2},{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-531","layer":2},{"info":"compute binary expreesion, left_input=-14420, right_input=-531, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊥∃⊬1E4E)⪮%⊝(∃⊬DE6⨵⪆∃⊬43E)⩨(∃⊬496⫡⨏∃⊬8A8)⋝⋈⪟∃⊬1862⨟⋌⩍∃⊬890)⪮%⊝((⨑⩽⪐(∃⊬443⊭↱∃⊬20F3))+⇶⊼(⋗⩬⋾(∃⊬E6D∸)))=NaN","reverse_text":"NaN=((⊥∃⊬1E4E)⪮%⊝(∃⊬DE6⨵⪆∃⊬43E)⩨(∃⊬496⫡⨏∃⊬8A8)⋝⋈⪟∃⊬1862⨟⋌⩍∃⊬890)⪮%⊝((⨑⩽⪐(∃⊬443⊭↱∃⊬20F3))+⇶⊼(⋗⩬⋾(∃⊬E6D∸)))","cot":[{"info":"⊥∃⊬1E4E=NaN","layer":3},{"info":"∃⊬DE6⨵⪆∃⊬43E=∃⊬A0","layer":3},{"info":"NaN⪮%⊝∃⊬A0=NaN","layer":2},{"info":"∃⊬496⫡⨏∃⊬8A8=∃⊬2B4D","layer":3},{"info":"∃⊬1862⨟⋌⩍∃⊬890=NaN","layer":3},{"info":"∃⊬2B4D⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"∃⊬443⊭↱∃⊬20F3=∃⊬3965","layer":3},{"info":"⨑⩽⪐∃⊬3965=∃⊬-3854","layer":2},{"info":"∃⊬E6D∸=∃⊬B1","layer":3},{"info":"⋗⩬⋾∃⊬B1=∃⊬-213","layer":2},{"info":"∃⊬-3854+⇶⊼∃⊬-213=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":145,"expression_no_base_symbol":"⫛⫱⨽(($2636$⋓$2848$⊠≄⫣)⨐⩸⫘$2790$∑⇟⊟$3885$⩚⊴⇥(↽≂$1139$))","expression":"⫛⫱⨽((∃⊬A4C⋓∃⊬B20⊠≄⫣)⨐⩸⫘∃⊬AE6∑⇟⊟∃⊬F2D⩚⊴⇥(↽≂∃⊬473))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":936,"operation_count":7,"complexity_ratio":133.71428571428572,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2636,"base":16},"right_expr":{"type":"numeric_atoms","value":2848,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2790,"base":16},"right_expr":{"type":"numeric_atoms","value":3885,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1139,"base":16}}}}},"used_operators":["DlLNRPXxWL","fu6greOZ01","DIvbN7qnHd","T2fj7uvVaJ","NTOWxs364D","U7g4x0WXJJ","u6S6b8DprG"],"dependent_operators":["rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2636","layer":4},{"info":"number node, value=2848","layer":4},{"info":"compute binary expreesion, left_input=2636, right_input=2848, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=2790","layer":4},{"info":"number node, value=3885","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=3885, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2278","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2278, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":"⫛⫱⨽((∃⊬A4C⋓∃⊬B20⊠≄⫣)⨐⩸⫘∃⊬AE6∑⇟⊟∃⊬F2D⩚⊴⇥(↽≂∃⊬473))=NaN","reverse_text":"NaN=⫛⫱⨽((∃⊬A4C⋓∃⊬B20⊠≄⫣)⨐⩸⫘∃⊬AE6∑⇟⊟∃⊬F2D⩚⊴⇥(↽≂∃⊬473))","cot":[{"info":"∃⊬A4C⋓∃⊬B20=∃⊬0","layer":3},{"info":"∃⊬0⊠≄⫣=∃⊬0","layer":2},{"info":"∃⊬AE6∑⇟⊟∃⊬F2D=NaN","layer":3},{"info":"↽≂∃⊬473=∃⊬-8E6","layer":3},{"info":"NaN⩚⊴⇥∃⊬-8E6=NaN","layer":2},{"info":"∃⊬0⨐⩸⫘NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":146,"expression_no_base_symbol":"(((⊙↵-$4319$)*$2660$∀⇚≩$1632$)⋳⪒(⫛⫱⨽(+⊝⨔$5030$)))⨪↰⇹($2450$⪄$3720$⪒$3478$⇷$1388$⪨≂(↔$1067$)≹⇙⪍($5491$↺$1439$))","expression":"(((⊙↵-∃⊬10DF)*∃⊬A64∀⇚≩∃⊬660)⋳⪒(⫛⫱⨽(+⊝⨔∃⊬13A6)))⨪↰⇹(∃⊬992⪄∃⊬E88⪒∃⊬D96⇷∃⊬56C⪨≂(↔∃⊬42B)≹⇙⪍(∃⊬1573↺∃⊬59F))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":73267,"operation_count":14,"complexity_ratio":5233.357142857143,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4319,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2660,"base":16},"right_expr":{"type":"numeric_atoms","value":1632,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":5030,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2450,"base":16},"right_expr":{"type":"numeric_atoms","value":3720,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3478,"base":16},"right_expr":{"type":"numeric_atoms","value":1388,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1067,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5491,"base":16},"right_expr":{"type":"numeric_atoms","value":1439,"base":16}}}}},"used_operators":["tmPS8pqC7x","12rbrZMWeM","9HNa5Wba9A","oWn0xqSxBt","LRNGc0VcxI","DlLNRPXxWL","DhbWaqg5eL","sdazOOVcIp","f6k1SAg4EE","SUmda5xLS4","mp7IySMOzn","AHs5Up7iyr","ruOEQAzv1W","7j4O788W3g"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4319","layer":4},{"info":"compute unary expreesion, input=4319, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2660","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=1632, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5030","layer":4},{"info":"compute unary expreesion, input=5030, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"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":1},{"info":"number node, value=2450","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=3720, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-373569","layer":3},{"info":"number node, value=3478","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=3478, right_input=1388, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2776","layer":3},{"info":"compute binary expreesion, left_input=-373569, right_input=2776, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=370793","layer":2},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-794","layer":3},{"info":"number node, value=5491","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=5491, right_input=1439, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1439","layer":3},{"info":"compute binary expreesion, left_input=-794, right_input=1439, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=370793, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute 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":"(((⊙↵-∃⊬10DF)*∃⊬A64∀⇚≩∃⊬660)⋳⪒(⫛⫱⨽(+⊝⨔∃⊬13A6)))⨪↰⇹(∃⊬992⪄∃⊬E88⪒∃⊬D96⇷∃⊬56C⪨≂(↔∃⊬42B)≹⇙⪍(∃⊬1573↺∃⊬59F))=NaN","reverse_text":"NaN=(((⊙↵-∃⊬10DF)*∃⊬A64∀⇚≩∃⊬660)⋳⪒(⫛⫱⨽(+⊝⨔∃⊬13A6)))⨪↰⇹(∃⊬992⪄∃⊬E88⪒∃⊬D96⇷∃⊬56C⪨≂(↔∃⊬42B)≹⇙⪍(∃⊬1573↺∃⊬59F))","cot":[{"info":"⊙↵-∃⊬10DF=∃⊬-1","layer":3},{"info":"∃⊬A64∀⇚≩∃⊬660=NaN","layer":3},{"info":"∃⊬-1*NaN=NaN","layer":2},{"info":"+⊝⨔∃⊬13A6=∃⊬5F2","layer":3},{"info":"⫛⫱⨽∃⊬5F2=∃⊬0","layer":2},{"info":"NaN⋳⪒∃⊬0=NaN","layer":1},{"info":"∃⊬992⪄∃⊬E88=∃⊬-5B341","layer":3},{"info":"∃⊬D96⇷∃⊬56C=∃⊬AD8","layer":3},{"info":"∃⊬-5B341⪒∃⊬AD8=∃⊬5A869","layer":2},{"info":"↔∃⊬42B=∃⊬-31A","layer":3},{"info":"∃⊬1573↺∃⊬59F=∃⊬59F","layer":3},{"info":"∃⊬-31A≹⇙⪍∃⊬59F=NaN","layer":2},{"info":"∃⊬5A869⪨≂NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":147,"expression_no_base_symbol":"((+⊝⨔($1185$⊭↱$5009$))+⇶⊼(⊥$3319$)↬($1224$⨰$2737$))⨓($1005$∀⇚≩$3363$↺($1953$⩨$1564$)⫸⊐(≉(↽≂$7613$)))","expression":"((+⊝⨔(∃⊬4A1⊭↱∃⊬1391))+⇶⊼(⊥∃⊬CF7)↬(∃⊬4C8⨰∃⊬AB1))⨓(∃⊬3ED∀⇚≩∃⊬D23↺(∃⊬7A1⩨∃⊬61C)⫸⊐(≉(↽≂∃⊬1DBD)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7111,"operation_count":13,"complexity_ratio":547.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1185,"base":16},"right_expr":{"type":"numeric_atoms","value":5009,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3319,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1224,"base":16},"right_expr":{"type":"numeric_atoms","value":2737,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":3363,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1953,"base":16},"right_expr":{"type":"numeric_atoms","value":1564,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7613,"base":16}}}}},"used_operators":["3ViojmjbAp","TpPTUOHfaN","DhbWaqg5eL","COABgblf1C","B5M0gjZbta","Q3PJZHRvZv","eewbuw0ToL","mqXw5SEYmG","7j4O788W3g","LRNGc0VcxI","2DlMacCsIx","e1ybzncUwg","u6S6b8DprG"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1185","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=5009, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7653","layer":3},{"info":"compute unary expreesion, input=7653, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=3319","layer":4},{"info":"compute unary expreesion, input=3319, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1224","layer":4},{"info":"number node, value=2737","layer":4},{"info":"compute binary expreesion, left_input=1224, right_input=2737, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1503","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1503, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1005","layer":4},{"info":"number node, value=3363","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=3363, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1953","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=1953, right_input=1564, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=0","layer":2},{"info":"number node, value=7613","layer":4},{"info":"compute unary expreesion, input=7613, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15226","layer":3},{"info":"compute unary expreesion, input=-15226, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-15226","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-15226, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"((+⊝⨔(∃⊬4A1⊭↱∃⊬1391))+⇶⊼(⊥∃⊬CF7)↬(∃⊬4C8⨰∃⊬AB1))⨓(∃⊬3ED∀⇚≩∃⊬D23↺(∃⊬7A1⩨∃⊬61C)⫸⊐(≉(↽≂∃⊬1DBD)))=NaN","reverse_text":"NaN=((+⊝⨔(∃⊬4A1⊭↱∃⊬1391))+⇶⊼(⊥∃⊬CF7)↬(∃⊬4C8⨰∃⊬AB1))⨓(∃⊬3ED∀⇚≩∃⊬D23↺(∃⊬7A1⩨∃⊬61C)⫸⊐(≉(↽≂∃⊬1DBD)))","cot":[{"info":"∃⊬4A1⊭↱∃⊬1391=∃⊬1DE5","layer":3},{"info":"+⊝⨔∃⊬1DE5=∃⊬5F2","layer":2},{"info":"⊥∃⊬CF7=NaN","layer":3},{"info":"∃⊬4C8⨰∃⊬AB1=∃⊬-5DF","layer":3},{"info":"NaN↬∃⊬-5DF=NaN","layer":2},{"info":"∃⊬5F2+⇶⊼NaN=NaN","layer":1},{"info":"∃⊬3ED∀⇚≩∃⊬D23=NaN","layer":3},{"info":"∃⊬7A1⩨∃⊬61C=∃⊬0","layer":3},{"info":"NaN↺∃⊬0=∃⊬0","layer":2},{"info":"↽≂∃⊬1DBD=∃⊬-3B7A","layer":3},{"info":"≉∃⊬-3B7A=∃⊬-3B7A","layer":2},{"info":"∃⊬0⫸⊐∃⊬-3B7A=∃⊬0","layer":1},{"info":"NaN⨓∃⊬0=NaN","layer":0}]}
{"id":148,"expression_no_base_symbol":"(⊙↵-((⪲⇎$2324$)⫌⩹⨱))⫡⨏($7629$⨽$4562$⇼⇔∾$1123$⨽$3738$)⨎($1573$⇷$3102$⊭↱$2518$⋝⋈⪟$4694$)","expression":"(⊙↵-((⪲⇎∃⊬914)⫌⩹⨱))⫡⨏(∃⊬1DCD⨽∃⊬11D2⇼⇔∾∃⊬463⨽∃⊬E9A)⨎(∃⊬625⇷∃⊬C1E⊭↱∃⊬9D6⋝⋈⪟∃⊬1256)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41569,"operation_count":11,"complexity_ratio":3779.0,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2324,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7629,"base":16},"right_expr":{"type":"numeric_atoms","value":4562,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1123,"base":16},"right_expr":{"type":"numeric_atoms","value":3738,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1573,"base":16},"right_expr":{"type":"numeric_atoms","value":3102,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2518,"base":16},"right_expr":{"type":"numeric_atoms","value":4694,"base":16}}}}},"used_operators":["QMFrweE19q","oWn0xqSxBt","EBcxylXtPf","XPYlsWDdGa","rJVOvQCfKK","tifHPKVTfV","8HhzD0ZcuI","COABgblf1C","mp7IySMOzn","2DDjHMKMc0"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-3684","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2324","layer":4},{"info":"compute unary expreesion, input=2324, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4648","layer":3},{"info":"compute unary expreesion, input=4648, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10697","layer":2},{"info":"compute unary expreesion, input=10697, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"number node, value=7629","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=7629, right_input=4562, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-174617295","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=3738","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=3738, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3793287","layer":3},{"info":"compute binary expreesion, left_input=-174617295, right_input=-3793287, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=170824008","layer":2},{"info":"number node, value=1573","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=3102, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6204","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=4694","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=4694, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2518","layer":3},{"info":"compute binary expreesion, left_input=6204, right_input=2518, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7367","layer":2},{"info":"compute binary expreesion, left_input=170824008, right_input=-7367, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-7367","layer":1},{"info":"compute binary expreesion, left_input=-1, right_input=-7367, 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=-13956","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-((⪲⇎∃⊬914)⫌⩹⨱))⫡⨏(∃⊬1DCD⨽∃⊬11D2⇼⇔∾∃⊬463⨽∃⊬E9A)⨎(∃⊬625⇷∃⊬C1E⊭↱∃⊬9D6⋝⋈⪟∃⊬1256)=∃⊬-3684","reverse_text":"∃⊬-3684=(⊙↵-((⪲⇎∃⊬914)⫌⩹⨱))⫡⨏(∃⊬1DCD⨽∃⊬11D2⇼⇔∾∃⊬463⨽∃⊬E9A)⨎(∃⊬625⇷∃⊬C1E⊭↱∃⊬9D6⋝⋈⪟∃⊬1256)","cot":[{"info":"⪲⇎∃⊬914=∃⊬1228","layer":3},{"info":"∃⊬1228⫌⩹⨱=∃⊬29C9","layer":2},{"info":"⊙↵-∃⊬29C9=∃⊬-1","layer":1},{"info":"∃⊬1DCD⨽∃⊬11D2=∃⊬-A6872CF","layer":3},{"info":"∃⊬463⨽∃⊬E9A=∃⊬-39E187","layer":3},{"info":"∃⊬-A6872CF⇼⇔∾∃⊬-39E187=∃⊬A2E9148","layer":2},{"info":"∃⊬625⇷∃⊬C1E=∃⊬183C","layer":3},{"info":"∃⊬9D6⋝⋈⪟∃⊬1256=∃⊬9D6","layer":3},{"info":"∃⊬183C⊭↱∃⊬9D6=∃⊬-1CC7","layer":2},{"info":"∃⊬A2E9148⨎∃⊬-1CC7=∃⊬-1CC7","layer":1},{"info":"∃⊬-1⫡⨏∃⊬-1CC7=∃⊬-3684","layer":0}]}
{"id":149,"expression_no_base_symbol":"((⋗⩬⋾$1872$)⨪↰⇹$4861$∀⇚≩$1387$⨸⪁($1042$≋⫹)∑⇟⊟(↽≂$1487$))⇷((⫓⪴$3132$⇷$1445$)⨸⪁(⫛⫱⨽($1499$∧)))","expression":"((⋗⩬⋾∃⊬750)⨪↰⇹∃⊬12FD∀⇚≩∃⊬56B⨸⪁(∃⊬412≋⫹)∑⇟⊟(↽≂∃⊬5CF))⇷((⫓⪴∃⊬C3C⇷∃⊬5A5)⨸⪁(⫛⫱⨽(∃⊬5DB∧)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":87328,"operation_count":13,"complexity_ratio":6717.538461538462,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1872,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4861,"base":16},"right_expr":{"type":"numeric_atoms","value":1387,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1042,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1487,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3132,"base":16},"right_expr":{"type":"numeric_atoms","value":1445,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1499,"base":16}}}}},"used_operators":["mp7IySMOzn","g55IO6H4Gj","tmPS8pqC7x","DpFCA1CohY","LRNGc0VcxI","U7g4x0WXJJ","N41Kp7NANJ","u6S6b8DprG","eLxqMNBOBk","DlLNRPXxWL","z63VuFQld9"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1872","layer":4},{"info":"compute unary expreesion, input=1872, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5616","layer":3},{"info":"number node, value=4861","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=4861, right_input=1387, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5616, 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=-5616","layer":2},{"info":"number node, value=1042","layer":4},{"info":"compute unary expreesion, input=1042, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2084","layer":3},{"info":"number node, value=1487","layer":4},{"info":"compute unary expreesion, input=1487, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2974","layer":3},{"info":"compute binary expreesion, left_input=-2084, right_input=-2974, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5616, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=3132","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=3132, right_input=1445, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2890","layer":3},{"info":"compute unary expreesion, input=2890, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8352100","layer":2},{"info":"number node, value=1499","layer":4},{"info":"compute unary expreesion, input=1499, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8352100, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⋗⩬⋾∃⊬750)⨪↰⇹∃⊬12FD∀⇚≩∃⊬56B⨸⪁(∃⊬412≋⫹)∑⇟⊟(↽≂∃⊬5CF))⇷((⫓⪴∃⊬C3C⇷∃⊬5A5)⨸⪁(⫛⫱⨽(∃⊬5DB∧)))=NaN","reverse_text":"NaN=((⋗⩬⋾∃⊬750)⨪↰⇹∃⊬12FD∀⇚≩∃⊬56B⨸⪁(∃⊬412≋⫹)∑⇟⊟(↽≂∃⊬5CF))⇷((⫓⪴∃⊬C3C⇷∃⊬5A5)⨸⪁(⫛⫱⨽(∃⊬5DB∧)))","cot":[{"info":"⋗⩬⋾∃⊬750=∃⊬-15F0","layer":3},{"info":"∃⊬12FD∀⇚≩∃⊬56B=NaN","layer":3},{"info":"∃⊬-15F0⨪↰⇹NaN=∃⊬-15F0","layer":2},{"info":"∃⊬412≋⫹=∃⊬-824","layer":3},{"info":"↽≂∃⊬5CF=∃⊬-B9E","layer":3},{"info":"∃⊬-824∑⇟⊟∃⊬-B9E=NaN","layer":2},{"info":"∃⊬-15F0⨸⪁NaN=NaN","layer":1},{"info":"∃⊬C3C⇷∃⊬5A5=∃⊬B4A","layer":3},{"info":"⫓⪴∃⊬B4A=∃⊬7F7164","layer":2},{"info":"∃⊬5DB∧=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"∃⊬7F7164⨸⪁NaN=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":150,"expression_no_base_symbol":"(($3790$↪⪝)⨸⪁(⨞⊢$2529$))⨎($6278$+$1031$)⨟⋌⩍($9788$∀⇚≩$2018$)-(⪝⪂⫅$2817$≹⇙⪍$2164$)⨎(($3722$⫌⩹⨱)*$5296$⪛$1210$)","expression":"((∃⊬ECE↪⪝)⨸⪁(⨞⊢∃⊬9E1))⨎(∃⊬1886+∃⊬407)⨟⋌⩍(∃⊬263C∀⇚≩∃⊬7E2)-(⪝⪂⫅∃⊬B01≹⇙⪍∃⊬874)⨎((∃⊬E8A⫌⩹⨱)*∃⊬14B0⪛∃⊬4BA)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69701,"operation_count":14,"complexity_ratio":4978.642857142857,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3790,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2529,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6278,"base":16},"right_expr":{"type":"numeric_atoms","value":1031,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9788,"base":16},"right_expr":{"type":"numeric_atoms","value":2018,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2817,"base":16},"right_expr":{"type":"numeric_atoms","value":2164,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3722,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5296,"base":16},"right_expr":{"type":"numeric_atoms","value":1210,"base":16}}}}},"used_operators":["rysDP5nf3Z","rJVOvQCfKK","g55IO6H4Gj","l07mrZUIn9","xUOZtlo3hN","rGHVDoGpnC","W4YGzv6Whe","LRNGc0VcxI","XTarYq4gQB","AHs5Up7iyr","9HNa5Wba9A","EBcxylXtPf","uFcxV4UQCh"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","X99M06cbEe","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3790","layer":4},{"info":"compute unary expreesion, input=3790, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=231879780","layer":3},{"info":"number node, value=2529","layer":4},{"info":"compute unary expreesion, input=2529, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2703","layer":3},{"info":"compute binary expreesion, left_input=231879780, right_input=-2703, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=463754154","layer":2},{"info":"number node, value=6278","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=6278, right_input=1031, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7309","layer":3},{"info":"number node, value=9788","layer":4},{"info":"number node, value=2018","layer":4},{"info":"compute binary expreesion, left_input=9788, right_input=2018, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7309, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=463754154, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=2817","layer":4},{"info":"number node, value=2164","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=2164, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"number node, value=3722","layer":4},{"info":"compute unary expreesion, input=3722, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8845","layer":3},{"info":"number node, value=5296","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=1210, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=456","layer":3},{"info":"compute binary expreesion, left_input=8845, right_input=456, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4033320","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4033320, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4033320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4033320, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬ECE↪⪝)⨸⪁(⨞⊢∃⊬9E1))⨎(∃⊬1886+∃⊬407)⨟⋌⩍(∃⊬263C∀⇚≩∃⊬7E2)-(⪝⪂⫅∃⊬B01≹⇙⪍∃⊬874)⨎((∃⊬E8A⫌⩹⨱)*∃⊬14B0⪛∃⊬4BA)=NaN","reverse_text":"NaN=((∃⊬ECE↪⪝)⨸⪁(⨞⊢∃⊬9E1))⨎(∃⊬1886+∃⊬407)⨟⋌⩍(∃⊬263C∀⇚≩∃⊬7E2)-(⪝⪂⫅∃⊬B01≹⇙⪍∃⊬874)⨎((∃⊬E8A⫌⩹⨱)*∃⊬14B0⪛∃⊬4BA)","cot":[{"info":"∃⊬ECE↪⪝=∃⊬DD23464","layer":3},{"info":"⨞⊢∃⊬9E1=∃⊬-A8F","layer":3},{"info":"∃⊬DD23464⨸⪁∃⊬-A8F=∃⊬1BA453AA","layer":2},{"info":"∃⊬1886+∃⊬407=∃⊬1C8D","layer":3},{"info":"∃⊬263C∀⇚≩∃⊬7E2=NaN","layer":3},{"info":"∃⊬1C8D⨟⋌⩍NaN=NaN","layer":2},{"info":"∃⊬1BA453AA⨎NaN=NaN","layer":1},{"info":"∃⊬B01≹⇙⪍∃⊬874=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"∃⊬E8A⫌⩹⨱=∃⊬228D","layer":3},{"info":"∃⊬14B0⪛∃⊬4BA=∃⊬1C8","layer":3},{"info":"∃⊬228D*∃⊬1C8=∃⊬3D8B28","layer":2},{"info":"NaN⨎∃⊬3D8B28=∃⊬3D8B28","layer":1},{"info":"NaN-∃⊬3D8B28=NaN","layer":0}]}
{"id":151,"expression_no_base_symbol":"($7776$⊠≄⫣)⨟⋌⩍($2360$⇷$2140$)∼($2181$⩷∴$7909$⫩⊇)⨪↰⇹(≉$2624$⩷∴$1449$)⪮%⊝($3802$⇼⇔∾$2926$+$2032$⫸⊐$1466$)","expression":"(∃⊬1E60⊠≄⫣)⨟⋌⩍(∃⊬938⇷∃⊬85C)∼(∃⊬885⩷∴∃⊬1EE5⫩⊇)⨪↰⇹(≉∃⊬A40⩷∴∃⊬5A9)⪮%⊝(∃⊬EDA⇼⇔∾∃⊬B6E+∃⊬7F0⫸⊐∃⊬5BA)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33106,"operation_count":13,"complexity_ratio":2546.6153846153848,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7776,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2360,"base":16},"right_expr":{"type":"numeric_atoms","value":2140,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2181,"base":16},"right_expr":{"type":"numeric_atoms","value":7909,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2624,"base":16},"right_expr":{"type":"numeric_atoms","value":1449,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3802,"base":16},"right_expr":{"type":"numeric_atoms","value":2926,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2032,"base":16},"right_expr":{"type":"numeric_atoms","value":1466,"base":16}}}}},"used_operators":["tmPS8pqC7x","DyGG3AbaNP","rGHVDoGpnC","DIvbN7qnHd","mp7IySMOzn","BjRHVeLaeN","9FxExcQeMw","IWmyXbctLI","e1ybzncUwg","W4YGzv6Whe","tifHPKVTfV","mqXw5SEYmG"],"dependent_operators":["rJVOvQCfKK","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7776","layer":4},{"info":"compute unary expreesion, input=7776, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=2360","layer":4},{"info":"number node, value=2140","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2140, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4280","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4280, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2181","layer":4},{"info":"number node, value=7909","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=7909, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-11488","layer":3},{"info":"compute unary expreesion, input=-11488, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=11530","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11530, 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=2624","layer":4},{"info":"number node, value=1449","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=1449, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2318","layer":3},{"info":"compute unary expreesion, input=2318, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2849","layer":2},{"info":"number node, value=3802","layer":4},{"info":"number node, value=2926","layer":4},{"info":"compute binary expreesion, left_input=3802, right_input=2926, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-876","layer":3},{"info":"number node, value=2032","layer":4},{"info":"number node, value=1466","layer":4},{"info":"compute binary expreesion, left_input=2032, right_input=1466, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5739","layer":3},{"info":"compute binary expreesion, left_input=-876, right_input=5739, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4863","layer":2},{"info":"compute binary expreesion, left_input=2849, right_input=4863, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6014","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6014, 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":"(∃⊬1E60⊠≄⫣)⨟⋌⩍(∃⊬938⇷∃⊬85C)∼(∃⊬885⩷∴∃⊬1EE5⫩⊇)⨪↰⇹(≉∃⊬A40⩷∴∃⊬5A9)⪮%⊝(∃⊬EDA⇼⇔∾∃⊬B6E+∃⊬7F0⫸⊐∃⊬5BA)=NaN","reverse_text":"NaN=(∃⊬1E60⊠≄⫣)⨟⋌⩍(∃⊬938⇷∃⊬85C)∼(∃⊬885⩷∴∃⊬1EE5⫩⊇)⨪↰⇹(≉∃⊬A40⩷∴∃⊬5A9)⪮%⊝(∃⊬EDA⇼⇔∾∃⊬B6E+∃⊬7F0⫸⊐∃⊬5BA)","cot":[{"info":"∃⊬1E60⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬938⇷∃⊬85C=∃⊬10B8","layer":3},{"info":"∃⊬0⨟⋌⩍∃⊬10B8=NaN","layer":2},{"info":"∃⊬885⩷∴∃⊬1EE5=∃⊬-2CE0","layer":3},{"info":"∃⊬-2CE0⫩⊇=∃⊬2D0A","layer":2},{"info":"NaN∼∃⊬2D0A=NaN","layer":1},{"info":"∃⊬A40⩷∴∃⊬5A9=∃⊬90E","layer":3},{"info":"≉∃⊬90E=∃⊬B21","layer":2},{"info":"∃⊬EDA⇼⇔∾∃⊬B6E=∃⊬-36C","layer":3},{"info":"∃⊬7F0⫸⊐∃⊬5BA=∃⊬166B","layer":3},{"info":"∃⊬-36C+∃⊬166B=∃⊬12FF","layer":2},{"info":"∃⊬B21⪮%⊝∃⊬12FF=∃⊬177E","layer":1},{"info":"NaN⨪↰⇹∃⊬177E=NaN","layer":0}]}
{"id":152,"expression_no_base_symbol":"((⨰⫟⨤$2188$∀⇚≩$5396$)-($9581$⫸⊐$1049$)⪘⫢(↩$3038$))%(∂$1243$)⪢$2872$⊴$4481$⩨($2935$⊭↱$5910$)⨐⩸⫘$1475$∀⇚≩$5931$","expression":"((⨰⫟⨤∃⊬88C∀⇚≩∃⊬1514)-(∃⊬256D⫸⊐∃⊬419)⪘⫢(↩∃⊬BDE))%(∂∃⊬4DB)⪢∃⊬B38⊴∃⊬1181⩨(∃⊬B77⊭↱∃⊬1716)⨐⩸⫘∃⊬5C3∀⇚≩∃⊬172B","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30221,"operation_count":14,"complexity_ratio":2158.6428571428573,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2188,"base":16},"right_expr":{"type":"numeric_atoms","value":5396,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":9581,"base":16},"right_expr":{"type":"numeric_atoms","value":1049,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3038,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1243,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2872,"base":16},"right_expr":{"type":"numeric_atoms","value":4481,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2935,"base":16},"right_expr":{"type":"numeric_atoms","value":5910,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1475,"base":16},"right_expr":{"type":"numeric_atoms","value":5931,"base":16}}}}},"used_operators":["k8jYdgA6NY","rysDP5nf3Z","Tw270M8GLb","LRNGc0VcxI","oacrs7FA3X","mqXw5SEYmG","jLgFTUHLKL","2DlMacCsIx","dWAJyo7jo9","Uaa54Peajs","Nsiff2A1zJ","fu6greOZ01","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2188","layer":4},{"info":"number node, value=5396","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=5396, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=9581","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=9581, right_input=1049, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4071","layer":3},{"info":"number node, value=3038","layer":4},{"info":"compute unary expreesion, input=3038, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21524","layer":3},{"info":"compute binary expreesion, left_input=4071, right_input=-21524, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2872","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=2872, right_input=4481, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2935","layer":4},{"info":"number node, value=5910","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=5910, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5955","layer":3},{"info":"number node, value=1475","layer":4},{"info":"number node, value=5931","layer":4},{"info":"compute binary expreesion, left_input=1475, right_input=5931, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5955, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤∃⊬88C∀⇚≩∃⊬1514)-(∃⊬256D⫸⊐∃⊬419)⪘⫢(↩∃⊬BDE))%(∂∃⊬4DB)⪢∃⊬B38⊴∃⊬1181⩨(∃⊬B77⊭↱∃⊬1716)⨐⩸⫘∃⊬5C3∀⇚≩∃⊬172B=NaN","reverse_text":"NaN=((⨰⫟⨤∃⊬88C∀⇚≩∃⊬1514)-(∃⊬256D⫸⊐∃⊬419)⪘⫢(↩∃⊬BDE))%(∂∃⊬4DB)⪢∃⊬B38⊴∃⊬1181⩨(∃⊬B77⊭↱∃⊬1716)⨐⩸⫘∃⊬5C3∀⇚≩∃⊬172B","cot":[{"info":"∃⊬88C∀⇚≩∃⊬1514=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"∃⊬256D⫸⊐∃⊬419=∃⊬FE7","layer":3},{"info":"↩∃⊬BDE=∃⊬-5414","layer":3},{"info":"∃⊬FE7⪘⫢∃⊬-5414=∃⊬-1","layer":2},{"info":"NaN-∃⊬-1=NaN","layer":1},{"info":"∂∃⊬4DB=NaN","layer":3},{"info":"∃⊬B38⊴∃⊬1181=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"∃⊬B77⊭↱∃⊬1716=∃⊬1743","layer":3},{"info":"∃⊬5C3∀⇚≩∃⊬172B=NaN","layer":3},{"info":"∃⊬1743⨐⩸⫘NaN=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":153,"expression_no_base_symbol":"(+⊝⨔((⩦⩻⨪$7872$)⊭↱($3889$⨸⪁$2359$)))⫥∨⫟($1813$⨓$2605$*$4405$⨓$1067$)⋓($5961$∑⇟⊟$4488$%$1930$⨟⋌⩍$6624$)","expression":"(+⊝⨔((⩦⩻⨪∃⊬1EC0)⊭↱(∃⊬F31⨸⪁∃⊬937)))⫥∨⫟(∃⊬715⨓∃⊬A2D*∃⊬1135⨓∃⊬42B)⋓(∃⊬1749∑⇟⊟∃⊬1188%∃⊬78A⨟⋌⩍∃⊬19E0)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4976,"operation_count":12,"complexity_ratio":414.6666666666667,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7872,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3889,"base":16},"right_expr":{"type":"numeric_atoms","value":2359,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1813,"base":16},"right_expr":{"type":"numeric_atoms","value":2605,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4405,"base":16},"right_expr":{"type":"numeric_atoms","value":1067,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5961,"base":16},"right_expr":{"type":"numeric_atoms","value":4488,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1930,"base":16},"right_expr":{"type":"numeric_atoms","value":6624,"base":16}}}}},"used_operators":["KYD54nUTWz","DhbWaqg5eL","COABgblf1C","2td37pGCOC","g55IO6H4Gj","T2fj7uvVaJ","9HNa5Wba9A","3ViojmjbAp","k8jYdgA6NY","U7g4x0WXJJ","rGHVDoGpnC"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7872","layer":4},{"info":"compute unary expreesion, input=7872, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7872","layer":3},{"info":"number node, value=3889","layer":4},{"info":"number node, value=2359","layer":4},{"info":"compute binary expreesion, left_input=3889, right_input=2359, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12496","layer":3},{"info":"compute binary expreesion, left_input=7872, right_input=12496, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9253","layer":2},{"info":"compute unary expreesion, input=9253, 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=1813","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1813, right_input=2605, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2608","layer":3},{"info":"number node, value=4405","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=4405, right_input=1067, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1070","layer":3},{"info":"compute binary expreesion, left_input=-2608, right_input=-1070, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2790560","layer":2},{"info":"number node, value=5961","layer":4},{"info":"number node, value=4488","layer":4},{"info":"compute binary expreesion, left_input=5961, right_input=4488, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1930","layer":4},{"info":"number node, value=6624","layer":4},{"info":"compute binary expreesion, left_input=1930, right_input=6624, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2790560, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔((⩦⩻⨪∃⊬1EC0)⊭↱(∃⊬F31⨸⪁∃⊬937)))⫥∨⫟(∃⊬715⨓∃⊬A2D*∃⊬1135⨓∃⊬42B)⋓(∃⊬1749∑⇟⊟∃⊬1188%∃⊬78A⨟⋌⩍∃⊬19E0)=NaN","reverse_text":"NaN=(+⊝⨔((⩦⩻⨪∃⊬1EC0)⊭↱(∃⊬F31⨸⪁∃⊬937)))⫥∨⫟(∃⊬715⨓∃⊬A2D*∃⊬1135⨓∃⊬42B)⋓(∃⊬1749∑⇟⊟∃⊬1188%∃⊬78A⨟⋌⩍∃⊬19E0)","cot":[{"info":"⩦⩻⨪∃⊬1EC0=∃⊬1EC0","layer":3},{"info":"∃⊬F31⨸⪁∃⊬937=∃⊬30D0","layer":3},{"info":"∃⊬1EC0⊭↱∃⊬30D0=∃⊬2425","layer":2},{"info":"+⊝⨔∃⊬2425=∃⊬5F2","layer":1},{"info":"∃⊬715⨓∃⊬A2D=∃⊬-A30","layer":3},{"info":"∃⊬1135⨓∃⊬42B=∃⊬-42E","layer":3},{"info":"∃⊬-A30*∃⊬-42E=∃⊬2A94A0","layer":2},{"info":"∃⊬1749∑⇟⊟∃⊬1188=NaN","layer":3},{"info":"∃⊬78A⨟⋌⩍∃⊬19E0=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"∃⊬2A94A0⋓NaN=NaN","layer":1},{"info":"∃⊬5F2⫥∨⫟NaN=NaN","layer":0}]}
{"id":154,"expression_no_base_symbol":"(⫛⫱⨽$1135$)⩷∴($1054$⫡⨏$3229$)⨰(⫛⫱⨽($1782$≎⊠⪸$2357$))⨰((⊙↵-($1023$⩨$4516$))⩷∴(≤/$1997$)≹⇙⪍($1226$⩨$2423$))","expression":"(⫛⫱⨽∃⊬46F)⩷∴(∃⊬41E⫡⨏∃⊬C9D)⨰(⫛⫱⨽(∃⊬6F6≎⊠⪸∃⊬935))⨰((⊙↵-(∃⊬3FF⩨∃⊬11A4))⩷∴(≤/∃⊬7CD)≹⇙⪍(∃⊬4CA⩨∃⊬977))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5219,"operation_count":13,"complexity_ratio":401.46153846153845,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1135,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1054,"base":16},"right_expr":{"type":"numeric_atoms","value":3229,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1782,"base":16},"right_expr":{"type":"numeric_atoms","value":2357,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1023,"base":16},"right_expr":{"type":"numeric_atoms","value":4516,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1997,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1226,"base":16},"right_expr":{"type":"numeric_atoms","value":2423,"base":16}}}}},"used_operators":["eewbuw0ToL","9FxExcQeMw","DlLNRPXxWL","QMFrweE19q","bJkvcejdHO","oWn0xqSxBt","2DlMacCsIx","AHs5Up7iyr","eLAdDNolq6"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1135","layer":4},{"info":"compute unary expreesion, input=1135, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1054","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1054, right_input=3229, 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=12511","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12511, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-25054","layer":2},{"info":"number node, value=1782","layer":4},{"info":"number node, value=2357","layer":4},{"info":"compute binary expreesion, left_input=1782, right_input=2357, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=461065","layer":3},{"info":"compute unary expreesion, input=461065, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-25054, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-25044","layer":1},{"info":"number node, value=1023","layer":4},{"info":"number node, value=4516","layer":4},{"info":"compute binary expreesion, left_input=1023, right_input=4516, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"compute unary expreesion, input=-12, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=1997","layer":4},{"info":"compute unary expreesion, input=1997, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1513","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=2423","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=2423, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-1513, right_input=-3, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-25044, 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":"(⫛⫱⨽∃⊬46F)⩷∴(∃⊬41E⫡⨏∃⊬C9D)⨰(⫛⫱⨽(∃⊬6F6≎⊠⪸∃⊬935))⨰((⊙↵-(∃⊬3FF⩨∃⊬11A4))⩷∴(≤/∃⊬7CD)≹⇙⪍(∃⊬4CA⩨∃⊬977))=NaN","reverse_text":"NaN=(⫛⫱⨽∃⊬46F)⩷∴(∃⊬41E⫡⨏∃⊬C9D)⨰(⫛⫱⨽(∃⊬6F6≎⊠⪸∃⊬935))⨰((⊙↵-(∃⊬3FF⩨∃⊬11A4))⩷∴(≤/∃⊬7CD)≹⇙⪍(∃⊬4CA⩨∃⊬977))","cot":[{"info":"⫛⫱⨽∃⊬46F=∃⊬0","layer":3},{"info":"∃⊬41E⫡⨏∃⊬C9D=∃⊬30DF","layer":3},{"info":"∃⊬0⩷∴∃⊬30DF=∃⊬-61DE","layer":2},{"info":"∃⊬6F6≎⊠⪸∃⊬935=∃⊬70909","layer":3},{"info":"⫛⫱⨽∃⊬70909=∃⊬0","layer":2},{"info":"∃⊬-61DE⨰∃⊬0=∃⊬-61D4","layer":1},{"info":"∃⊬3FF⩨∃⊬11A4=∃⊬-C","layer":3},{"info":"⊙↵-∃⊬-C=∃⊬0","layer":2},{"info":"≤/∃⊬7CD=∃⊬-5E9","layer":3},{"info":"∃⊬4CA⩨∃⊬977=∃⊬-3","layer":3},{"info":"∃⊬-5E9≹⇙⪍∃⊬-3=NaN","layer":2},{"info":"∃⊬0⩷∴NaN=NaN","layer":1},{"info":"∃⊬-61D4⨰NaN=NaN","layer":0}]}
{"id":155,"expression_no_base_symbol":"($1624$⪛$1108$⩨($3598$⊭∹↮))⨎($2306$+$3848$+$3771$↺$3418$)+(∥⊫$6672$⋓$3453$)⇷($3939$⩠)∼($6870$⨽$1487$)","expression":"(∃⊬658⪛∃⊬454⩨(∃⊬E0E⊭∹↮))⨎(∃⊬902+∃⊬F08+∃⊬EBB↺∃⊬D5A)+(∥⊫∃⊬1A10⋓∃⊬D7D)⇷(∃⊬F63⩠)∼(∃⊬1AD6⨽∃⊬5CF)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19107,"operation_count":14,"complexity_ratio":1364.7857142857142,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1624,"base":16},"right_expr":{"type":"numeric_atoms","value":1108,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3598,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2306,"base":16},"right_expr":{"type":"numeric_atoms","value":3848,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3771,"base":16},"right_expr":{"type":"numeric_atoms","value":3418,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6672,"base":16},"right_expr":{"type":"numeric_atoms","value":3453,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3939,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6870,"base":16},"right_expr":{"type":"numeric_atoms","value":1487,"base":16}}}}},"used_operators":["W4YGzv6Whe","rJVOvQCfKK","2DlMacCsIx","uFcxV4UQCh","xNBdhnnwKq","7j4O788W3g","mp7IySMOzn","P8v4zCKN1o","T2fj7uvVaJ","DyGG3AbaNP","sJAwomhLZr","8HhzD0ZcuI"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1624","layer":4},{"info":"number node, value=1108","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=1108, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=516","layer":3},{"info":"number node, value=3598","layer":4},{"info":"compute unary expreesion, input=3598, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7196","layer":3},{"info":"compute binary expreesion, left_input=516, right_input=7196, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-39","layer":2},{"info":"number node, value=2306","layer":4},{"info":"number node, value=3848","layer":4},{"info":"compute binary expreesion, left_input=2306, right_input=3848, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6154","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=3418","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=3418, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3418","layer":3},{"info":"compute binary expreesion, left_input=6154, right_input=3418, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9572","layer":2},{"info":"compute binary expreesion, left_input=-39, right_input=9572, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9572","layer":1},{"info":"number node, value=6672","layer":4},{"info":"number node, value=3453","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=3453, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"number node, value=3939","layer":4},{"info":"compute unary expreesion, input=3939, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=6870","layer":4},{"info":"number node, value=1487","layer":4},{"info":"compute binary expreesion, left_input=6870, right_input=1487, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-141593847","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-141593847, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=868, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9572, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬658⪛∃⊬454⩨(∃⊬E0E⊭∹↮))⨎(∃⊬902+∃⊬F08+∃⊬EBB↺∃⊬D5A)+(∥⊫∃⊬1A10⋓∃⊬D7D)⇷(∃⊬F63⩠)∼(∃⊬1AD6⨽∃⊬5CF)=NaN","reverse_text":"NaN=(∃⊬658⪛∃⊬454⩨(∃⊬E0E⊭∹↮))⨎(∃⊬902+∃⊬F08+∃⊬EBB↺∃⊬D5A)+(∥⊫∃⊬1A10⋓∃⊬D7D)⇷(∃⊬F63⩠)∼(∃⊬1AD6⨽∃⊬5CF)","cot":[{"info":"∃⊬658⪛∃⊬454=∃⊬204","layer":3},{"info":"∃⊬E0E⊭∹↮=∃⊬1C1C","layer":3},{"info":"∃⊬204⩨∃⊬1C1C=∃⊬-27","layer":2},{"info":"∃⊬902+∃⊬F08=∃⊬180A","layer":3},{"info":"∃⊬EBB↺∃⊬D5A=∃⊬D5A","layer":3},{"info":"∃⊬180A+∃⊬D5A=∃⊬2564","layer":2},{"info":"∃⊬-27⨎∃⊬2564=∃⊬2564","layer":1},{"info":"∃⊬1A10⋓∃⊬D7D=∃⊬0","layer":3},{"info":"∥⊫∃⊬0=∃⊬364","layer":2},{"info":"∃⊬F63⩠=∃⊬0","layer":3},{"info":"∃⊬1AD6⨽∃⊬5CF=∃⊬-8708CF7","layer":3},{"info":"∃⊬0∼∃⊬-8708CF7=NaN","layer":2},{"info":"∃⊬364⇷NaN=NaN","layer":1},{"info":"∃⊬2564+NaN=NaN","layer":0}]}
{"id":156,"expression_no_base_symbol":"((($1140$%$2113$)≦≮≮)⩠)⩨(($3921$-$3917$)⋥≓≎$1552$⪮%⊝$1695$)⪘⫢((≉$1908$)⊘)","expression":"(((∃⊬474%∃⊬841)≦≮≮)⩠)⩨((∃⊬F51-∃⊬F4D)⋥≓≎∃⊬610⪮%⊝∃⊬69F)⪘⫢((≉∃⊬774)⊘)","highest_n_order":2,"priority_hierarchical_complexity":9,"normalized_expansion_degree":69,"operation_count":10,"complexity_ratio":6.9,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1140,"base":16},"right_expr":{"type":"numeric_atoms","value":2113,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3921,"base":16},"right_expr":{"type":"numeric_atoms","value":3917,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1552,"base":16},"right_expr":{"type":"numeric_atoms","value":1695,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1908,"base":16}}}}},"used_operators":["2DlMacCsIx","sJAwomhLZr","D4vGDi5EA2","k8jYdgA6NY","oacrs7FA3X","Qy55tPpLXF","rysDP5nf3Z","IWmyXbctLI","gu96TGCTMs","e1ybzncUwg"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1140","layer":4},{"info":"number node, value=2113","layer":4},{"info":"compute binary expreesion, left_input=1140, right_input=2113, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1140","layer":3},{"info":"compute unary expreesion, input=1140, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-3420","layer":2},{"info":"compute unary expreesion, input=-3420, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=13889","layer":1},{"info":"number node, value=3921","layer":4},{"info":"number node, value=3917","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=3917, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4","layer":3},{"info":"number node, value=1552","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=1695, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3420","layer":3},{"info":"compute binary expreesion, left_input=4, right_input=3420, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6869","layer":2},{"info":"number node, value=1908","layer":4},{"info":"compute unary expreesion, input=1908, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2439","layer":3},{"info":"compute unary expreesion, input=2439, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6869, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=13889, 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":"(((∃⊬474%∃⊬841)≦≮≮)⩠)⩨((∃⊬F51-∃⊬F4D)⋥≓≎∃⊬610⪮%⊝∃⊬69F)⪘⫢((≉∃⊬774)⊘)=∃⊬0","reverse_text":"∃⊬0=(((∃⊬474%∃⊬841)≦≮≮)⩠)⩨((∃⊬F51-∃⊬F4D)⋥≓≎∃⊬610⪮%⊝∃⊬69F)⪘⫢((≉∃⊬774)⊘)","cot":[{"info":"∃⊬474%∃⊬841=∃⊬474","layer":3},{"info":"∃⊬474≦≮≮=∃⊬-D5C","layer":2},{"info":"∃⊬-D5C⩠=∃⊬3641","layer":1},{"info":"∃⊬F51-∃⊬F4D=∃⊬4","layer":3},{"info":"∃⊬610⪮%⊝∃⊬69F=∃⊬D5C","layer":3},{"info":"∃⊬4⋥≓≎∃⊬D5C=∃⊬1AD5","layer":2},{"info":"≉∃⊬774=∃⊬987","layer":3},{"info":"∃⊬987⊘=∃⊬0","layer":2},{"info":"∃⊬1AD5⪘⫢∃⊬0=∃⊬0","layer":1},{"info":"∃⊬3641⩨∃⊬0=∃⊬0","layer":0}]}
{"id":157,"expression_no_base_symbol":"(+⊝⨔(⪝⪂⫅(≉$7366$)))+⇶⊼(⫓⪴(($1035$*$1427$)∑⇟⊟($5320$⊉≛↸$5440$)))","expression":"(+⊝⨔(⪝⪂⫅(≉∃⊬1CC6)))+⇶⊼(⫓⪴((∃⊬40B*∃⊬593)∑⇟⊟(∃⊬14C8⊉≛↸∃⊬1540)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1212,"operation_count":8,"complexity_ratio":151.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":7366,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1035,"base":16},"right_expr":{"type":"numeric_atoms","value":1427,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5320,"base":16},"right_expr":{"type":"numeric_atoms","value":5440,"base":16}}}}},"used_operators":["TpPTUOHfaN","DhbWaqg5eL","XTarYq4gQB","e1ybzncUwg","eLxqMNBOBk","U7g4x0WXJJ","9HNa5Wba9A","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7366","layer":4},{"info":"compute unary expreesion, input=7366, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=7897","layer":3},{"info":"compute unary expreesion, input=7897, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1160859","layer":2},{"info":"compute unary expreesion, input=-1160859, 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=1035","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1427, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1476945","layer":3},{"info":"number node, value=5320","layer":4},{"info":"number node, value=5440","layer":4},{"info":"compute binary expreesion, left_input=5320, right_input=5440, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10640","layer":3},{"info":"compute binary expreesion, left_input=1476945, right_input=10640, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, 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":"(+⊝⨔(⪝⪂⫅(≉∃⊬1CC6)))+⇶⊼(⫓⪴((∃⊬40B*∃⊬593)∑⇟⊟(∃⊬14C8⊉≛↸∃⊬1540)))=NaN","reverse_text":"NaN=(+⊝⨔(⪝⪂⫅(≉∃⊬1CC6)))+⇶⊼(⫓⪴((∃⊬40B*∃⊬593)∑⇟⊟(∃⊬14C8⊉≛↸∃⊬1540)))","cot":[{"info":"≉∃⊬1CC6=∃⊬1ED9","layer":3},{"info":"⪝⪂⫅∃⊬1ED9=∃⊬-11B69B","layer":2},{"info":"+⊝⨔∃⊬-11B69B=∃⊬5F2","layer":1},{"info":"∃⊬40B*∃⊬593=∃⊬168951","layer":3},{"info":"∃⊬14C8⊉≛↸∃⊬1540=∃⊬2990","layer":3},{"info":"∃⊬168951∑⇟⊟∃⊬2990=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"∃⊬5F2+⇶⊼NaN=NaN","layer":0}]}
{"id":158,"expression_no_base_symbol":"(($1287$⇼⇔∾$1119$)⫥∨⫟($1889$⪨≂$2237$)⪐)+($3570$*$4058$)≧⫂∧$1461$⪮%⊝$1080$≧⫂∧((↔$1623$)⋷$2421$⫥∨⫟$2947$)","expression":"((∃⊬507⇼⇔∾∃⊬45F)⫥∨⫟(∃⊬761⪨≂∃⊬8BD)⪐)+(∃⊬DF2*∃⊬FDA)≧⫂∧∃⊬5B5⪮%⊝∃⊬438≧⫂∧((↔∃⊬657)⋷∃⊬975⫥∨⫟∃⊬B83)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3908,"operation_count":12,"complexity_ratio":325.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1287,"base":16},"right_expr":{"type":"numeric_atoms","value":1119,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1889,"base":16},"right_expr":{"type":"numeric_atoms","value":2237,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3570,"base":16},"right_expr":{"type":"numeric_atoms","value":4058,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1461,"base":16},"right_expr":{"type":"numeric_atoms","value":1080,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1623,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2421,"base":16},"right_expr":{"type":"numeric_atoms","value":2947,"base":16}}}}},"used_operators":["W4YGzv6Whe","eH2TOUuTDT","KYD54nUTWz","tifHPKVTfV","sdazOOVcIp","Ph9nP6C5qx","9HNa5Wba9A","IWmyXbctLI","23Mk6UjR3U","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","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=1287","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=1119, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-168","layer":3},{"info":"number node, value=1889","layer":4},{"info":"number node, value=2237","layer":4},{"info":"compute binary expreesion, left_input=1889, right_input=2237, 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=-594","layer":3},{"info":"compute binary expreesion, left_input=-168, right_input=-594, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=3570","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=3570, right_input=4058, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14487060","layer":3},{"info":"number node, value=1461","layer":4},{"info":"number node, value=1080","layer":4},{"info":"compute binary expreesion, left_input=1461, right_input=1080, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3238","layer":3},{"info":"compute binary expreesion, left_input=14487060, right_input=3238, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2765","layer":2},{"info":"number node, value=1623","layer":4},{"info":"compute unary expreesion, input=1623, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1350","layer":3},{"info":"number node, value=2421","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=2947, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1350, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2700","layer":2},{"info":"compute binary expreesion, left_input=2765, right_input=2700, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2227","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2227, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬507⇼⇔∾∃⊬45F)⫥∨⫟(∃⊬761⪨≂∃⊬8BD)⪐)+(∃⊬DF2*∃⊬FDA)≧⫂∧∃⊬5B5⪮%⊝∃⊬438≧⫂∧((↔∃⊬657)⋷∃⊬975⫥∨⫟∃⊬B83)=NaN","reverse_text":"NaN=((∃⊬507⇼⇔∾∃⊬45F)⫥∨⫟(∃⊬761⪨≂∃⊬8BD)⪐)+(∃⊬DF2*∃⊬FDA)≧⫂∧∃⊬5B5⪮%⊝∃⊬438≧⫂∧((↔∃⊬657)⋷∃⊬975⫥∨⫟∃⊬B83)","cot":[{"info":"∃⊬507⇼⇔∾∃⊬45F=∃⊬-A8","layer":3},{"info":"∃⊬761⪨≂∃⊬8BD=∃⊬-252","layer":3},{"info":"∃⊬-A8⫥∨⫟∃⊬-252=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"∃⊬DF2*∃⊬FDA=∃⊬DD0E14","layer":3},{"info":"∃⊬5B5⪮%⊝∃⊬438=∃⊬CA6","layer":3},{"info":"∃⊬DD0E14≧⫂∧∃⊬CA6=∃⊬ACD","layer":2},{"info":"↔∃⊬657=∃⊬-546","layer":3},{"info":"∃⊬975⫥∨⫟∃⊬B83=NaN","layer":3},{"info":"∃⊬-546⋷NaN=∃⊬A8C","layer":2},{"info":"∃⊬ACD≧⫂∧∃⊬A8C=∃⊬8B3","layer":1},{"info":"NaN+∃⊬8B3=NaN","layer":0}]}
{"id":159,"expression_no_base_symbol":"(($1009$↺$3540$∲⫓$3012$⇼⇔∾$2156$)*(($3180$⊭↱$3236$)⊦⊿))⨓(↯⪼($1942$⪒$2063$))⪘⫢(⨈⫕$6656$⪮%⊝$1490$)","expression":"((∃⊬3F1↺∃⊬DD4∲⫓∃⊬BC4⇼⇔∾∃⊬86C)*((∃⊬C6C⊭↱∃⊬CA4)⊦⊿))⨓(↯⪼(∃⊬796⪒∃⊬80F))⪘⫢(⨈⫕∃⊬1A00⪮%⊝∃⊬5D2)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":874,"operation_count":12,"complexity_ratio":72.83333333333333,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1009,"base":16},"right_expr":{"type":"numeric_atoms","value":3540,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3012,"base":16},"right_expr":{"type":"numeric_atoms","value":2156,"base":16}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3180,"base":16},"right_expr":{"type":"numeric_atoms","value":3236,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1942,"base":16},"right_expr":{"type":"numeric_atoms","value":2063,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6656,"base":16},"right_expr":{"type":"numeric_atoms","value":1490,"base":16}}}}},"used_operators":["3ViojmjbAp","9HNa5Wba9A","i8ToyICDmI","7j4O788W3g","tifHPKVTfV","14qkJME0vr","COABgblf1C","oacrs7FA3X","8jW3W4yZS5","f6k1SAg4EE","megm06wKyl","IWmyXbctLI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1009","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=3540, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3540","layer":3},{"info":"number node, value=3012","layer":4},{"info":"number node, value=2156","layer":4},{"info":"compute binary expreesion, left_input=3012, right_input=2156, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-856","layer":3},{"info":"compute binary expreesion, left_input=3540, right_input=-856, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=3540","layer":2},{"info":"number node, value=3180","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=3236, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=117","layer":3},{"info":"compute unary expreesion, input=117, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-430","layer":2},{"info":"compute binary expreesion, left_input=3540, right_input=-430, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-1522200","layer":1},{"info":"number node, value=1942","layer":4},{"info":"number node, value=2063","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=2063, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4005","layer":3},{"info":"compute unary expreesion, input=-4005, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7093","layer":2},{"info":"number node, value=6656","layer":4},{"info":"number node, value=1490","layer":4},{"info":"compute binary expreesion, left_input=6656, right_input=1490, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13628","layer":3},{"info":"compute unary expreesion, input=13628, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=7093, right_input=-21, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-1522200, 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":"((∃⊬3F1↺∃⊬DD4∲⫓∃⊬BC4⇼⇔∾∃⊬86C)*((∃⊬C6C⊭↱∃⊬CA4)⊦⊿))⨓(↯⪼(∃⊬796⪒∃⊬80F))⪘⫢(⨈⫕∃⊬1A00⪮%⊝∃⊬5D2)=NaN","reverse_text":"NaN=((∃⊬3F1↺∃⊬DD4∲⫓∃⊬BC4⇼⇔∾∃⊬86C)*((∃⊬C6C⊭↱∃⊬CA4)⊦⊿))⨓(↯⪼(∃⊬796⪒∃⊬80F))⪘⫢(⨈⫕∃⊬1A00⪮%⊝∃⊬5D2)","cot":[{"info":"∃⊬3F1↺∃⊬DD4=∃⊬DD4","layer":3},{"info":"∃⊬BC4⇼⇔∾∃⊬86C=∃⊬-358","layer":3},{"info":"∃⊬DD4∲⫓∃⊬-358=∃⊬DD4","layer":2},{"info":"∃⊬C6C⊭↱∃⊬CA4=∃⊬75","layer":3},{"info":"∃⊬75⊦⊿=∃⊬-1AE","layer":2},{"info":"∃⊬DD4*∃⊬-1AE=∃⊬-173A18","layer":1},{"info":"∃⊬796⪒∃⊬80F=∃⊬-FA5","layer":3},{"info":"↯⪼∃⊬-FA5=∃⊬1BB5","layer":2},{"info":"∃⊬1A00⪮%⊝∃⊬5D2=∃⊬353C","layer":3},{"info":"⨈⫕∃⊬353C=∃⊬-15","layer":2},{"info":"∃⊬1BB5⪘⫢∃⊬-15=∃⊬0","layer":1},{"info":"∃⊬-173A18⨓∃⊬0=NaN","layer":0}]}
{"id":160,"expression_no_base_symbol":"(($1693$⨟⋌⩍$2131$∸)⩠)∼(($1048$⨎$1757$⪒($1554$⫡⨏$1587$))↺($5186$/$5474$⫡⨏$1145$⩷∴$1773$))","expression":"((∃⊬69D⨟⋌⩍∃⊬853∸)⩠)∼((∃⊬418⨎∃⊬6DD⪒(∃⊬612⫡⨏∃⊬633))↺(∃⊬1442/∃⊬1562⫡⨏∃⊬479⩷∴∃⊬6ED))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":233,"operation_count":11,"complexity_ratio":21.181818181818183,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1693,"base":16},"right_expr":{"type":"numeric_atoms","value":2131,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":1757,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1554,"base":16},"right_expr":{"type":"numeric_atoms","value":1587,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5186,"base":16},"right_expr":{"type":"numeric_atoms","value":5474,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1145,"base":16},"right_expr":{"type":"numeric_atoms","value":1773,"base":16}}}}},"used_operators":["DyGG3AbaNP","sJAwomhLZr","o20kRiQErp","rGHVDoGpnC","7j4O788W3g","f6k1SAg4EE","rJVOvQCfKK","QMFrweE19q","XhwjNDsVaA","9FxExcQeMw"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1693","layer":4},{"info":"number node, value=2131","layer":4},{"info":"compute binary expreesion, left_input=1693, right_input=2131, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-499","layer":1},{"info":"number node, value=1048","layer":4},{"info":"number node, value=1757","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1757, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1757","layer":3},{"info":"number node, value=1554","layer":4},{"info":"number node, value=1587","layer":4},{"info":"compute binary expreesion, left_input=1554, right_input=1587, 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=11727","layer":3},{"info":"compute binary expreesion, left_input=1757, right_input=11727, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13484","layer":2},{"info":"number node, value=5186","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=5186, right_input=5474, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1145","layer":4},{"info":"number node, value=1773","layer":4},{"info":"compute binary expreesion, left_input=1145, right_input=1773, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1288","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1288, 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=-1793","layer":2},{"info":"compute binary expreesion, left_input=-13484, right_input=-1793, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-1793","layer":1},{"info":"compute binary expreesion, left_input=-499, right_input=-1793, 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":"((∃⊬69D⨟⋌⩍∃⊬853∸)⩠)∼((∃⊬418⨎∃⊬6DD⪒(∃⊬612⫡⨏∃⊬633))↺(∃⊬1442/∃⊬1562⫡⨏∃⊬479⩷∴∃⊬6ED))=NaN","reverse_text":"NaN=((∃⊬69D⨟⋌⩍∃⊬853∸)⩠)∼((∃⊬418⨎∃⊬6DD⪒(∃⊬612⫡⨏∃⊬633))↺(∃⊬1442/∃⊬1562⫡⨏∃⊬479⩷∴∃⊬6ED))","cot":[{"info":"∃⊬69D⨟⋌⩍∃⊬853=NaN","layer":3},{"info":"NaN∸=∃⊬B1","layer":2},{"info":"∃⊬B1⩠=∃⊬-1F3","layer":1},{"info":"∃⊬418⨎∃⊬6DD=∃⊬6DD","layer":3},{"info":"∃⊬612⫡⨏∃⊬633=∃⊬2DCF","layer":3},{"info":"∃⊬6DD⪒∃⊬2DCF=∃⊬-34AC","layer":2},{"info":"∃⊬1442/∃⊬1562=∃⊬0","layer":3},{"info":"∃⊬479⩷∴∃⊬6ED=∃⊬-508","layer":3},{"info":"∃⊬0⫡⨏∃⊬-508=∃⊬-701","layer":2},{"info":"∃⊬-34AC↺∃⊬-701=∃⊬-701","layer":1},{"info":"∃⊬-1F3∼∃⊬-701=NaN","layer":0}]}
{"id":161,"expression_no_base_symbol":"(($2618$≹⇙⪍$3449$⨵⪆(↔$7346$))⨐⩸⫘($5189$≹⇙⪍$2834$↪⪝))⨰((⊥$1746$)⫡⨏$2924$⩨$4891$)⪛($7031$∼$5454$∲⫓($6806$⪠⩆⊳))","expression":"((∃⊬A3A≹⇙⪍∃⊬D79⨵⪆(↔∃⊬1CB2))⨐⩸⫘(∃⊬1445≹⇙⪍∃⊬B12↪⪝))⨰((⊥∃⊬6D2)⫡⨏∃⊬B6C⩨∃⊬131B)⪛(∃⊬1B77∼∃⊬154E∲⫓(∃⊬1A96⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":184,"operation_count":14,"complexity_ratio":13.142857142857142,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2618,"base":16},"right_expr":{"type":"numeric_atoms","value":3449,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7346,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5189,"base":16},"right_expr":{"type":"numeric_atoms","value":2834,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1746,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2924,"base":16},"right_expr":{"type":"numeric_atoms","value":4891,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":7031,"base":16},"right_expr":{"type":"numeric_atoms","value":5454,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6806,"base":16}}}}},"used_operators":["eewbuw0ToL","fu6greOZ01","2DQ55sFlQl","AHs5Up7iyr","ruOEQAzv1W","l07mrZUIn9","uFcxV4UQCh","QMFrweE19q","Q3PJZHRvZv","2DlMacCsIx","i8ToyICDmI","DyGG3AbaNP","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2618","layer":4},{"info":"number node, value=3449","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=3449, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7346","layer":4},{"info":"compute unary expreesion, input=7346, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7073","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7073, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5189","layer":4},{"info":"number node, value=2834","layer":4},{"info":"compute binary expreesion, left_input=5189, right_input=2834, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, 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":1},{"info":"number node, value=1746","layer":4},{"info":"compute unary expreesion, input=1746, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2924","layer":4},{"info":"number node, value=4891","layer":4},{"info":"compute binary expreesion, left_input=2924, right_input=4891, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=7031","layer":4},{"info":"number node, value=5454","layer":4},{"info":"compute binary expreesion, left_input=7031, right_input=5454, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=6806","layer":4},{"info":"compute unary expreesion, input=6806, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":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":"((∃⊬A3A≹⇙⪍∃⊬D79⨵⪆(↔∃⊬1CB2))⨐⩸⫘(∃⊬1445≹⇙⪍∃⊬B12↪⪝))⨰((⊥∃⊬6D2)⫡⨏∃⊬B6C⩨∃⊬131B)⪛(∃⊬1B77∼∃⊬154E∲⫓(∃⊬1A96⪠⩆⊳))=NaN","reverse_text":"NaN=((∃⊬A3A≹⇙⪍∃⊬D79⨵⪆(↔∃⊬1CB2))⨐⩸⫘(∃⊬1445≹⇙⪍∃⊬B12↪⪝))⨰((⊥∃⊬6D2)⫡⨏∃⊬B6C⩨∃⊬131B)⪛(∃⊬1B77∼∃⊬154E∲⫓(∃⊬1A96⪠⩆⊳))","cot":[{"info":"∃⊬A3A≹⇙⪍∃⊬D79=NaN","layer":3},{"info":"↔∃⊬1CB2=∃⊬-1BA1","layer":3},{"info":"NaN⨵⪆∃⊬-1BA1=∃⊬A0","layer":2},{"info":"∃⊬1445≹⇙⪍∃⊬B12=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"∃⊬A0⨐⩸⫘NaN=NaN","layer":1},{"info":"⊥∃⊬6D2=NaN","layer":3},{"info":"∃⊬B6C⩨∃⊬131B=∃⊬-3","layer":3},{"info":"NaN⫡⨏∃⊬-3=NaN","layer":2},{"info":"∃⊬1B77∼∃⊬154E=NaN","layer":3},{"info":"∃⊬1A96⪠⩆⊳=∃⊬0","layer":3},{"info":"NaN∲⫓∃⊬0=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":162,"expression_no_base_symbol":"(($1671$∼$1700$)⪢($1586$∼$1556$)⫥∨⫟($1235$⩷∴$1047$)⨟⋌⩍($1208$∸))↬((∂($6429$≧⫂∧$1193$))⫡⨏($8153$⨸⪁$1069$⪨≂(⨵≀≌$5858$)))","expression":"((∃⊬687∼∃⊬6A4)⪢(∃⊬632∼∃⊬614)⫥∨⫟(∃⊬4D3⩷∴∃⊬417)⨟⋌⩍(∃⊬4B8∸))↬((∂(∃⊬191D≧⫂∧∃⊬4A9))⫡⨏(∃⊬1FD9⨸⪁∃⊬42D⪨≂(⨵≀≌∃⊬16E2)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1477,"operation_count":14,"complexity_ratio":105.5,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1671,"base":16},"right_expr":{"type":"numeric_atoms","value":1700,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1586,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1235,"base":16},"right_expr":{"type":"numeric_atoms","value":1047,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1208,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6429,"base":16},"right_expr":{"type":"numeric_atoms","value":1193,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8153,"base":16},"right_expr":{"type":"numeric_atoms","value":1069,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5858,"base":16}}}}},"used_operators":["B5M0gjZbta","KYD54nUTWz","dWAJyo7jo9","DyGG3AbaNP","rGHVDoGpnC","9FxExcQeMw","o20kRiQErp","QMFrweE19q","Uaa54Peajs","Ph9nP6C5qx","sdazOOVcIp","g55IO6H4Gj","srAu1WTS94"],"dependent_operators":["rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1671","layer":4},{"info":"number node, value=1700","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=1700, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1586","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=1586, right_input=1556, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1235","layer":4},{"info":"number node, value=1047","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1047, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=344","layer":3},{"info":"number node, value=1208","layer":4},{"info":"compute unary expreesion, input=1208, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=344, right_input=177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=6429","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=6429, right_input=1193, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=720","layer":3},{"info":"compute unary expreesion, input=720, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=8153","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=8153, right_input=1069, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18444","layer":3},{"info":"number node, value=5858","layer":4},{"info":"compute unary expreesion, input=5858, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17574","layer":3},{"info":"compute binary expreesion, left_input=18444, right_input=-17574, 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=72138","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=72138, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬687∼∃⊬6A4)⪢(∃⊬632∼∃⊬614)⫥∨⫟(∃⊬4D3⩷∴∃⊬417)⨟⋌⩍(∃⊬4B8∸))↬((∂(∃⊬191D≧⫂∧∃⊬4A9))⫡⨏(∃⊬1FD9⨸⪁∃⊬42D⪨≂(⨵≀≌∃⊬16E2)))=NaN","reverse_text":"NaN=((∃⊬687∼∃⊬6A4)⪢(∃⊬632∼∃⊬614)⫥∨⫟(∃⊬4D3⩷∴∃⊬417)⨟⋌⩍(∃⊬4B8∸))↬((∂(∃⊬191D≧⫂∧∃⊬4A9))⫡⨏(∃⊬1FD9⨸⪁∃⊬42D⪨≂(⨵≀≌∃⊬16E2)))","cot":[{"info":"∃⊬687∼∃⊬6A4=NaN","layer":3},{"info":"∃⊬632∼∃⊬614=NaN","layer":3},{"info":"NaN⪢NaN=NaN","layer":2},{"info":"∃⊬4D3⩷∴∃⊬417=∃⊬158","layer":3},{"info":"∃⊬4B8∸=∃⊬B1","layer":3},{"info":"∃⊬158⨟⋌⩍∃⊬B1=∃⊬0","layer":2},{"info":"NaN⫥∨⫟∃⊬0=NaN","layer":1},{"info":"∃⊬191D≧⫂∧∃⊬4A9=∃⊬2D0","layer":3},{"info":"∂∃⊬2D0=NaN","layer":2},{"info":"∃⊬1FD9⨸⪁∃⊬42D=∃⊬480C","layer":3},{"info":"⨵≀≌∃⊬16E2=∃⊬-44A6","layer":3},{"info":"∃⊬480C⪨≂∃⊬-44A6=∃⊬119CA","layer":2},{"info":"NaN⫡⨏∃⊬119CA=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":163,"expression_no_base_symbol":"⊥((($1985$↛⩡⫤)⨽($2375$⨵⪆$4738$))⇷(($1016$⊘)+⇶⊼($7440$⪒$2800$)))","expression":"⊥(((∃⊬7C1↛⩡⫤)⨽(∃⊬947⨵⪆∃⊬1282))⇷((∃⊬3F8⊘)+⇶⊼(∃⊬1D10⪒∃⊬AF0)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":301954,"operation_count":8,"complexity_ratio":37744.25,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1985,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2375,"base":16},"right_expr":{"type":"numeric_atoms","value":4738,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1016,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7440,"base":16},"right_expr":{"type":"numeric_atoms","value":2800,"base":16}}}}},"used_operators":["Q3PJZHRvZv","mp7IySMOzn","8HhzD0ZcuI","FU0Cs4j7VP","2DQ55sFlQl","TpPTUOHfaN","gu96TGCTMs","f6k1SAg4EE"],"dependent_operators":["fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1985","layer":4},{"info":"compute unary expreesion, input=1985, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-295824","layer":3},{"info":"number node, value=2375","layer":4},{"info":"number node, value=4738","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=4738, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-295824, right_input=160, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=7440","layer":4},{"info":"number node, value=2800","layer":4},{"info":"compute binary expreesion, left_input=7440, right_input=2800, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10240","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-10240, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-inf, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((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":"⊥(((∃⊬7C1↛⩡⫤)⨽(∃⊬947⨵⪆∃⊬1282))⇷((∃⊬3F8⊘)+⇶⊼(∃⊬1D10⪒∃⊬AF0)))=NaN","reverse_text":"NaN=⊥(((∃⊬7C1↛⩡⫤)⨽(∃⊬947⨵⪆∃⊬1282))⇷((∃⊬3F8⊘)+⇶⊼(∃⊬1D10⪒∃⊬AF0)))","cot":[{"info":"∃⊬7C1↛⩡⫤=∃⊬-48390","layer":3},{"info":"∃⊬947⨵⪆∃⊬1282=∃⊬A0","layer":3},{"info":"∃⊬-48390⨽∃⊬A0=-Inf","layer":2},{"info":"∃⊬3F8⊘=∃⊬0","layer":3},{"info":"∃⊬1D10⪒∃⊬AF0=∃⊬-2800","layer":3},{"info":"∃⊬0+⇶⊼∃⊬-2800=NaN","layer":2},{"info":"-Inf⇷NaN=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":164,"expression_no_base_symbol":"(($4834$⋓$7970$⊭∹↮)⪄$3221$∀⇚≩$2817$⨰($4926$+$3537$))≎⊠⪸(⊥$5831$⪢$1145$)⪢($3938$⪮%⊝$1100$⪠⩆⊳)","expression":"((∃⊬12E2⋓∃⊬1F22⊭∹↮)⪄∃⊬C95∀⇚≩∃⊬B01⨰(∃⊬133E+∃⊬DD1))≎⊠⪸(⊥∃⊬16C7⪢∃⊬479)⪢(∃⊬F62⪮%⊝∃⊬44C⪠⩆⊳)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":29653,"operation_count":12,"complexity_ratio":2471.0833333333335,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4834,"base":16},"right_expr":{"type":"numeric_atoms","value":7970,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3221,"base":16},"right_expr":{"type":"numeric_atoms","value":2817,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4926,"base":16},"right_expr":{"type":"numeric_atoms","value":3537,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5831,"base":16},"right_expr":{"type":"numeric_atoms","value":1145,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3938,"base":16},"right_expr":{"type":"numeric_atoms","value":1100,"base":16}}}}},"used_operators":["bJkvcejdHO","SUmda5xLS4","xNBdhnnwKq","T2fj7uvVaJ","eewbuw0ToL","LRNGc0VcxI","W4YGzv6Whe","dWAJyo7jo9","Q3PJZHRvZv","JLbD19bQDL","IWmyXbctLI"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","k8jYdgA6NY","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4834","layer":4},{"info":"number node, value=7970","layer":4},{"info":"compute binary expreesion, left_input=4834, right_input=7970, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=0","layer":2},{"info":"number node, value=3221","layer":4},{"info":"number node, value=2817","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=2817, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4926","layer":4},{"info":"number node, value=3537","layer":4},{"info":"compute binary expreesion, left_input=4926, right_input=3537, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8463","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8463, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"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":1},{"info":"number node, value=5831","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=1145, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=3938","layer":4},{"info":"number node, value=1100","layer":4},{"info":"compute binary expreesion, left_input=3938, right_input=1100, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8192","layer":3},{"info":"compute unary expreesion, input=8192, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬12E2⋓∃⊬1F22⊭∹↮)⪄∃⊬C95∀⇚≩∃⊬B01⨰(∃⊬133E+∃⊬DD1))≎⊠⪸(⊥∃⊬16C7⪢∃⊬479)⪢(∃⊬F62⪮%⊝∃⊬44C⪠⩆⊳)=NaN","reverse_text":"NaN=((∃⊬12E2⋓∃⊬1F22⊭∹↮)⪄∃⊬C95∀⇚≩∃⊬B01⨰(∃⊬133E+∃⊬DD1))≎⊠⪸(⊥∃⊬16C7⪢∃⊬479)⪢(∃⊬F62⪮%⊝∃⊬44C⪠⩆⊳)","cot":[{"info":"∃⊬12E2⋓∃⊬1F22=∃⊬0","layer":3},{"info":"∃⊬0⊭∹↮=∃⊬0","layer":2},{"info":"∃⊬C95∀⇚≩∃⊬B01=NaN","layer":3},{"info":"∃⊬133E+∃⊬DD1=∃⊬210F","layer":3},{"info":"NaN⨰∃⊬210F=NaN","layer":2},{"info":"∃⊬0⪄NaN=NaN","layer":1},{"info":"∃⊬16C7⪢∃⊬479=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"∃⊬F62⪮%⊝∃⊬44C=∃⊬2000","layer":3},{"info":"∃⊬2000⪠⩆⊳=∃⊬0","layer":2},{"info":"NaN⪢∃⊬0=∃⊬0","layer":1},{"info":"NaN≎⊠⪸∃⊬0=NaN","layer":0}]}
{"id":165,"expression_no_base_symbol":"((∥⊫$1285$)⨳⩥⨓($1104$⇼⇔∾$5628$)⋷($1021$⩨$1622$)⨓($1646$⪨≂$4551$))⫸⊐(($8335$⨵⪆$1405$)%$2797$∲⫓$3560$)≹⇙⪍($1797$⪮%⊝$2710$⫥∨⫟(↯⪼$4326$))","expression":"((∥⊫∃⊬505)⨳⩥⨓(∃⊬450⇼⇔∾∃⊬15FC)⋷(∃⊬3FD⩨∃⊬656)⨓(∃⊬66E⪨≂∃⊬11C7))⫸⊐((∃⊬208F⨵⪆∃⊬57D)%∃⊬AED∲⫓∃⊬DE8)≹⇙⪍(∃⊬705⪮%⊝∃⊬A96⫥∨⫟(↯⪼∃⊬10E6))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5956,"operation_count":15,"complexity_ratio":397.06666666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1285,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1104,"base":16},"right_expr":{"type":"numeric_atoms","value":5628,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1021,"base":16},"right_expr":{"type":"numeric_atoms","value":1622,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1646,"base":16},"right_expr":{"type":"numeric_atoms","value":4551,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":8335,"base":16},"right_expr":{"type":"numeric_atoms","value":1405,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2797,"base":16},"right_expr":{"type":"numeric_atoms","value":3560,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1797,"base":16},"right_expr":{"type":"numeric_atoms","value":2710,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4326,"base":16}}}}},"used_operators":["mqXw5SEYmG","23Mk6UjR3U","nCS4ZIUYfx","P8v4zCKN1o","tifHPKVTfV","3ViojmjbAp","2DlMacCsIx","sdazOOVcIp","AHs5Up7iyr","k8jYdgA6NY","2DQ55sFlQl","i8ToyICDmI","KYD54nUTWz","IWmyXbctLI","8jW3W4yZS5"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2153","layer":3},{"info":"number node, value=1104","layer":4},{"info":"number node, value=5628","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=5628, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4524","layer":3},{"info":"compute binary expreesion, left_input=2153, right_input=4524, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2371","layer":2},{"info":"number node, value=1021","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=1021, right_input=1622, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1646","layer":4},{"info":"number node, value=4551","layer":4},{"info":"compute binary expreesion, left_input=1646, right_input=4551, 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=-5708","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-5708, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=5705","layer":2},{"info":"compute binary expreesion, left_input=2371, right_input=5705, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9039","layer":1},{"info":"number node, value=8335","layer":4},{"info":"number node, value=1405","layer":4},{"info":"compute binary expreesion, left_input=8335, right_input=1405, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=3560","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=3560, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1797","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=2710, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3910","layer":3},{"info":"number node, value=4326","layer":4},{"info":"compute unary expreesion, input=4326, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=3910, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=9039, 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":"((∥⊫∃⊬505)⨳⩥⨓(∃⊬450⇼⇔∾∃⊬15FC)⋷(∃⊬3FD⩨∃⊬656)⨓(∃⊬66E⪨≂∃⊬11C7))⫸⊐((∃⊬208F⨵⪆∃⊬57D)%∃⊬AED∲⫓∃⊬DE8)≹⇙⪍(∃⊬705⪮%⊝∃⊬A96⫥∨⫟(↯⪼∃⊬10E6))=NaN","reverse_text":"NaN=((∥⊫∃⊬505)⨳⩥⨓(∃⊬450⇼⇔∾∃⊬15FC)⋷(∃⊬3FD⩨∃⊬656)⨓(∃⊬66E⪨≂∃⊬11C7))⫸⊐((∃⊬208F⨵⪆∃⊬57D)%∃⊬AED∲⫓∃⊬DE8)≹⇙⪍(∃⊬705⪮%⊝∃⊬A96⫥∨⫟(↯⪼∃⊬10E6))","cot":[{"info":"∥⊫∃⊬505=∃⊬869","layer":3},{"info":"∃⊬450⇼⇔∾∃⊬15FC=∃⊬11AC","layer":3},{"info":"∃⊬869⨳⩥⨓∃⊬11AC=∃⊬943","layer":2},{"info":"∃⊬3FD⩨∃⊬656=∃⊬-3","layer":3},{"info":"∃⊬66E⪨≂∃⊬11C7=∃⊬-164C","layer":3},{"info":"∃⊬-3⨓∃⊬-164C=∃⊬1649","layer":2},{"info":"∃⊬943⋷∃⊬1649=∃⊬234F","layer":1},{"info":"∃⊬208F⨵⪆∃⊬57D=∃⊬A0","layer":3},{"info":"∃⊬AED∲⫓∃⊬DE8=∃⊬0","layer":3},{"info":"∃⊬A0%∃⊬0=NaN","layer":2},{"info":"∃⊬705⪮%⊝∃⊬A96=∃⊬F46","layer":3},{"info":"↯⪼∃⊬10E6=∃⊬-15","layer":3},{"info":"∃⊬F46⫥∨⫟∃⊬-15=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"∃⊬234F⫸⊐NaN=NaN","layer":0}]}
{"id":166,"expression_no_base_symbol":"⫓⪴(($1823$↛⩡⫤)↺($2468$↛⩡⫤)/$6719$*$2137$%$2252$⩷∴$8661$)","expression":"⫓⪴((∃⊬71F↛⩡⫤)↺(∃⊬9A4↛⩡⫤)/∃⊬1A3F*∃⊬859%∃⊬8CC⩷∴∃⊬21D5)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16497,"operation_count":8,"complexity_ratio":2062.125,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1823,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2468,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6719,"base":16},"right_expr":{"type":"numeric_atoms","value":2137,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2252,"base":16},"right_expr":{"type":"numeric_atoms","value":8661,"base":16}}}}},"used_operators":["eLxqMNBOBk","XhwjNDsVaA","7j4O788W3g","FU0Cs4j7VP","k8jYdgA6NY","9HNa5Wba9A","9FxExcQeMw"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬8A1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1823","layer":4},{"info":"compute unary expreesion, input=1823, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-271362","layer":3},{"info":"number node, value=2468","layer":4},{"info":"compute unary expreesion, input=2468, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-368757","layer":3},{"info":"compute binary expreesion, left_input=-271362, right_input=-368757, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-368757","layer":2},{"info":"number node, value=6719","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=6719, right_input=2137, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14358503","layer":3},{"info":"number node, value=2252","layer":4},{"info":"number node, value=8661","layer":4},{"info":"compute binary expreesion, left_input=2252, right_input=8661, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12850","layer":3},{"info":"compute binary expreesion, left_input=14358503, right_input=-12850, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-7797","layer":2},{"info":"compute binary expreesion, left_input=-368757, right_input=-7797, op_id = XhwjNDsVaA binary_op_definition= 'None', output=47","layer":1},{"info":"compute unary expreesion, input=47, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2209","layer":0}],"base":16,"result_base":16,"text":"⫓⪴((∃⊬71F↛⩡⫤)↺(∃⊬9A4↛⩡⫤)/∃⊬1A3F*∃⊬859%∃⊬8CC⩷∴∃⊬21D5)=∃⊬8A1","reverse_text":"∃⊬8A1=⫓⪴((∃⊬71F↛⩡⫤)↺(∃⊬9A4↛⩡⫤)/∃⊬1A3F*∃⊬859%∃⊬8CC⩷∴∃⊬21D5)","cot":[{"info":"∃⊬71F↛⩡⫤=∃⊬-42402","layer":3},{"info":"∃⊬9A4↛⩡⫤=∃⊬-5A075","layer":3},{"info":"∃⊬-42402↺∃⊬-5A075=∃⊬-5A075","layer":2},{"info":"∃⊬1A3F*∃⊬859=∃⊬DB17E7","layer":3},{"info":"∃⊬8CC⩷∴∃⊬21D5=∃⊬-3232","layer":3},{"info":"∃⊬DB17E7%∃⊬-3232=∃⊬-1E75","layer":2},{"info":"∃⊬-5A075/∃⊬-1E75=∃⊬2F","layer":1},{"info":"⫓⪴∃⊬2F=∃⊬8A1","layer":0}]}
{"id":167,"expression_no_base_symbol":"((∥⊫($1613$≋⫹))⨎($1378$⩷∴$1734$)⇷(⫛⫱⨽$2068$))∀⇚≩(↥(≉$1554$)⨟⋌⩍($1544$⪄$7747$))","expression":"((∥⊫(∃⊬64D≋⫹))⨎(∃⊬562⩷∴∃⊬6C6)⇷(⫛⫱⨽∃⊬814))∀⇚≩(↥(≉∃⊬612)⨟⋌⩍(∃⊬608⪄∃⊬1E43))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11957,"operation_count":11,"complexity_ratio":1087.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1613,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1378,"base":16},"right_expr":{"type":"numeric_atoms","value":1734,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2068,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1554,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1544,"base":16},"right_expr":{"type":"numeric_atoms","value":7747,"base":16}}}}},"used_operators":["LRNGc0VcxI","rJVOvQCfKK","P8v4zCKN1o","N41Kp7NANJ","mp7IySMOzn","9FxExcQeMw","DlLNRPXxWL","A8NUZmVepG","rGHVDoGpnC","e1ybzncUwg","SUmda5xLS4"],"dependent_operators":["X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","k8jYdgA6NY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1613","layer":4},{"info":"compute unary expreesion, input=1613, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3226","layer":3},{"info":"compute unary expreesion, input=-3226, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=1378","layer":4},{"info":"number node, value=1734","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1734, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-744","layer":3},{"info":"number node, value=2068","layer":4},{"info":"compute unary expreesion, input=2068, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-744, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-55, 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":1},{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2085","layer":3},{"info":"number node, value=1544","layer":4},{"info":"number node, value=7747","layer":4},{"info":"compute binary expreesion, left_input=1544, right_input=7747, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-255589","layer":3},{"info":"compute binary expreesion, left_input=2085, right_input=-255589, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":"((∥⊫(∃⊬64D≋⫹))⨎(∃⊬562⩷∴∃⊬6C6)⇷(⫛⫱⨽∃⊬814))∀⇚≩(↥(≉∃⊬612)⨟⋌⩍(∃⊬608⪄∃⊬1E43))=NaN","reverse_text":"NaN=((∥⊫(∃⊬64D≋⫹))⨎(∃⊬562⩷∴∃⊬6C6)⇷(⫛⫱⨽∃⊬814))∀⇚≩(↥(≉∃⊬612)⨟⋌⩍(∃⊬608⪄∃⊬1E43))","cot":[{"info":"∃⊬64D≋⫹=∃⊬-C9A","layer":3},{"info":"∥⊫∃⊬-C9A=∃⊬-37","layer":2},{"info":"∃⊬562⩷∴∃⊬6C6=∃⊬-2E8","layer":3},{"info":"⫛⫱⨽∃⊬814=∃⊬0","layer":3},{"info":"∃⊬-2E8⇷∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-37⨎∃⊬0=∃⊬0","layer":1},{"info":"≉∃⊬612=∃⊬825","layer":3},{"info":"∃⊬608⪄∃⊬1E43=∃⊬-3E665","layer":3},{"info":"∃⊬825⨟⋌⩍∃⊬-3E665=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"∃⊬0∀⇚≩NaN=NaN","layer":0}]}
{"id":168,"expression_no_base_symbol":"(($1049$↺$1732$)⨰(⪝⪂⫅$1013$)⨳⩥⨓($2084$⨵⪆$1135$)⨐⩸⫘($1340$≫≃))⨰((($4712$⊉≛↸$2178$)⋫)∸)","expression":"((∃⊬419↺∃⊬6C4)⨰(⪝⪂⫅∃⊬3F5)⨳⩥⨓(∃⊬824⨵⪆∃⊬46F)⨐⩸⫘(∃⊬53C≫≃))⨰(((∃⊬1268⊉≛↸∃⊬882)⋫)∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9779,"operation_count":11,"complexity_ratio":889.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":1732,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1013,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2084,"base":16},"right_expr":{"type":"numeric_atoms","value":1135,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1340,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4712,"base":16},"right_expr":{"type":"numeric_atoms","value":2178,"base":16}}}}},"used_operators":["eewbuw0ToL","nCS4ZIUYfx","7j4O788W3g","XTarYq4gQB","fu6greOZ01","2DQ55sFlQl","X99M06cbEe","o20kRiQErp","JL8yIekQnl","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","tmPS8pqC7x","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=1732","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1732, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1732","layer":3},{"info":"number node, value=1013","layer":4},{"info":"compute unary expreesion, input=1013, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-148911","layer":3},{"info":"compute binary expreesion, left_input=1732, right_input=-148911, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=150653","layer":2},{"info":"number node, value=2084","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2084, right_input=1135, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4081","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4081, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=150653, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4712","layer":4},{"info":"number node, value=2178","layer":4},{"info":"compute binary expreesion, left_input=4712, right_input=2178, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9424","layer":3},{"info":"compute unary expreesion, input=9424, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=9424","layer":2},{"info":"compute unary expreesion, input=9424, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬419↺∃⊬6C4)⨰(⪝⪂⫅∃⊬3F5)⨳⩥⨓(∃⊬824⨵⪆∃⊬46F)⨐⩸⫘(∃⊬53C≫≃))⨰(((∃⊬1268⊉≛↸∃⊬882)⋫)∸)=NaN","reverse_text":"NaN=((∃⊬419↺∃⊬6C4)⨰(⪝⪂⫅∃⊬3F5)⨳⩥⨓(∃⊬824⨵⪆∃⊬46F)⨐⩸⫘(∃⊬53C≫≃))⨰(((∃⊬1268⊉≛↸∃⊬882)⋫)∸)","cot":[{"info":"∃⊬419↺∃⊬6C4=∃⊬6C4","layer":3},{"info":"⪝⪂⫅∃⊬3F5=∃⊬-245AF","layer":3},{"info":"∃⊬6C4⨰∃⊬-245AF=∃⊬24C7D","layer":2},{"info":"∃⊬824⨵⪆∃⊬46F=∃⊬A0","layer":3},{"info":"∃⊬53C≫≃=∃⊬FF1","layer":3},{"info":"∃⊬A0⨐⩸⫘∃⊬FF1=NaN","layer":2},{"info":"∃⊬24C7D⨳⩥⨓NaN=NaN","layer":1},{"info":"∃⊬1268⊉≛↸∃⊬882=∃⊬24D0","layer":3},{"info":"∃⊬24D0⋫=∃⊬24D0","layer":2},{"info":"∃⊬24D0∸=∃⊬B1","layer":1},{"info":"NaN⨰∃⊬B1=NaN","layer":0}]}
{"id":169,"expression_no_base_symbol":"($6790$⇷$7556$)⨪↰⇹$3219$⨟⋌⩍$2969$⋷$1566$+⇶⊼$2040$⋥≓≎(⊄⩳↩$3663$)/(⪲⇎$1050$⩷∴$2973$)⨪↰⇹((∥⊫$2578$)⨓(⋗⩬⋾$6073$))","expression":"(∃⊬1A86⇷∃⊬1D84)⨪↰⇹∃⊬C93⨟⋌⩍∃⊬B99⋷∃⊬61E+⇶⊼∃⊬7F8⋥≓≎(⊄⩳↩∃⊬E4F)/(⪲⇎∃⊬41A⩷∴∃⊬B9D)⨪↰⇹((∥⊫∃⊬A12)⨓(⋗⩬⋾∃⊬17B9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":136185,"operation_count":14,"complexity_ratio":9727.5,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6790,"base":16},"right_expr":{"type":"numeric_atoms","value":7556,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3219,"base":16},"right_expr":{"type":"numeric_atoms","value":2969,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1566,"base":16},"right_expr":{"type":"numeric_atoms","value":2040,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3663,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":2973,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2578,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6073,"base":16}}}}},"used_operators":["XhwjNDsVaA","23Mk6UjR3U","tmPS8pqC7x","mp7IySMOzn","rGHVDoGpnC","Qy55tPpLXF","TpPTUOHfaN","8w2t5hMYqp","XPYlsWDdGa","9FxExcQeMw","3ViojmjbAp","P8v4zCKN1o","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6790","layer":4},{"info":"number node, value=7556","layer":4},{"info":"compute binary expreesion, left_input=6790, right_input=7556, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15112","layer":3},{"info":"number node, value=3219","layer":4},{"info":"number node, value=2969","layer":4},{"info":"compute binary expreesion, left_input=3219, right_input=2969, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15112, 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=15112","layer":2},{"info":"number node, value=1566","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1566, right_input=2040, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3663","layer":4},{"info":"compute unary expreesion, input=3663, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10989","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10989, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=15112, right_input=67, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-14978","layer":1},{"info":"number node, value=1050","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=2973, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3878","layer":3},{"info":"compute unary expreesion, input=-3878, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-7756","layer":2},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3446","layer":3},{"info":"number node, value=6073","layer":4},{"info":"compute unary expreesion, input=6073, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18219","layer":3},{"info":"compute binary expreesion, left_input=3446, right_input=-18219, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-18222","layer":2},{"info":"compute binary expreesion, left_input=-7756, right_input=-18222, 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=-7756","layer":1},{"info":"compute binary expreesion, left_input=-14978, right_input=-7756, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1A86⇷∃⊬1D84)⨪↰⇹∃⊬C93⨟⋌⩍∃⊬B99⋷∃⊬61E+⇶⊼∃⊬7F8⋥≓≎(⊄⩳↩∃⊬E4F)/(⪲⇎∃⊬41A⩷∴∃⊬B9D)⨪↰⇹((∥⊫∃⊬A12)⨓(⋗⩬⋾∃⊬17B9))=∃⊬1","reverse_text":"∃⊬1=(∃⊬1A86⇷∃⊬1D84)⨪↰⇹∃⊬C93⨟⋌⩍∃⊬B99⋷∃⊬61E+⇶⊼∃⊬7F8⋥≓≎(⊄⩳↩∃⊬E4F)/(⪲⇎∃⊬41A⩷∴∃⊬B9D)⨪↰⇹((∥⊫∃⊬A12)⨓(⋗⩬⋾∃⊬17B9))","cot":[{"info":"∃⊬1A86⇷∃⊬1D84=∃⊬3B08","layer":3},{"info":"∃⊬C93⨟⋌⩍∃⊬B99=NaN","layer":3},{"info":"∃⊬3B08⨪↰⇹NaN=∃⊬3B08","layer":2},{"info":"∃⊬61E+⇶⊼∃⊬7F8=NaN","layer":3},{"info":"⊄⩳↩∃⊬E4F=∃⊬-2AED","layer":3},{"info":"NaN⋥≓≎∃⊬-2AED=∃⊬43","layer":2},{"info":"∃⊬3B08⋷∃⊬43=∃⊬-3A82","layer":1},{"info":"∃⊬41A⩷∴∃⊬B9D=∃⊬-F26","layer":3},{"info":"⪲⇎∃⊬-F26=∃⊬-1E4C","layer":2},{"info":"∥⊫∃⊬A12=∃⊬D76","layer":3},{"info":"⋗⩬⋾∃⊬17B9=∃⊬-472B","layer":3},{"info":"∃⊬D76⨓∃⊬-472B=∃⊬-472E","layer":2},{"info":"∃⊬-1E4C⨪↰⇹∃⊬-472E=∃⊬-1E4C","layer":1},{"info":"∃⊬-3A82/∃⊬-1E4C=∃⊬1","layer":0}]}
{"id":170,"expression_no_base_symbol":"(($1802$⊘)⪮%⊝($1351$∲⫓$3826$)⨳⩥⨓($1633$⨐⩸⫘$6765$)⪛($3536$⋥≓≎$4781$))↬($1843$⋓$2172$⪐)∀⇚≩(($1629$⩚⊴⇥$5203$)⨰($2753$≎⊠⪸$3583$))","expression":"((∃⊬70A⊘)⪮%⊝(∃⊬547∲⫓∃⊬EF2)⨳⩥⨓(∃⊬661⨐⩸⫘∃⊬1A6D)⪛(∃⊬DD0⋥≓≎∃⊬12AD))↬(∃⊬733⋓∃⊬87C⪐)∀⇚≩((∃⊬65D⩚⊴⇥∃⊬1453)⨰(∃⊬AC1≎⊠⪸∃⊬DFF))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":338,"operation_count":14,"complexity_ratio":24.142857142857142,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1802,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1351,"base":16},"right_expr":{"type":"numeric_atoms","value":3826,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1633,"base":16},"right_expr":{"type":"numeric_atoms","value":6765,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3536,"base":16},"right_expr":{"type":"numeric_atoms","value":4781,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1843,"base":16},"right_expr":{"type":"numeric_atoms","value":2172,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1629,"base":16},"right_expr":{"type":"numeric_atoms","value":5203,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2753,"base":16},"right_expr":{"type":"numeric_atoms","value":3583,"base":16}}}}},"used_operators":["B5M0gjZbta","nCS4ZIUYfx","IWmyXbctLI","gu96TGCTMs","i8ToyICDmI","uFcxV4UQCh","fu6greOZ01","Qy55tPpLXF","LRNGc0VcxI","eH2TOUuTDT","T2fj7uvVaJ","eewbuw0ToL","NTOWxs364D","bJkvcejdHO"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1802","layer":4},{"info":"compute unary expreesion, input=1802, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1351","layer":4},{"info":"number node, value=3826","layer":4},{"info":"compute binary expreesion, left_input=1351, right_input=3826, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1633","layer":4},{"info":"number node, value=6765","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=6765, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3536","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=3536, right_input=4781, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6059","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6059, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1843","layer":4},{"info":"number node, value=2172","layer":4},{"info":"compute binary expreesion, left_input=1843, right_input=2172, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"number node, value=1629","layer":4},{"info":"number node, value=5203","layer":4},{"info":"compute binary expreesion, left_input=1629, right_input=5203, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6953","layer":3},{"info":"number node, value=2753","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=2753, right_input=3583, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=712554","layer":3},{"info":"compute binary expreesion, left_input=-6953, right_input=712554, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-719497","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-719497, 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=-719497","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-719497, 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":"((∃⊬70A⊘)⪮%⊝(∃⊬547∲⫓∃⊬EF2)⨳⩥⨓(∃⊬661⨐⩸⫘∃⊬1A6D)⪛(∃⊬DD0⋥≓≎∃⊬12AD))↬(∃⊬733⋓∃⊬87C⪐)∀⇚≩((∃⊬65D⩚⊴⇥∃⊬1453)⨰(∃⊬AC1≎⊠⪸∃⊬DFF))=NaN","reverse_text":"NaN=((∃⊬70A⊘)⪮%⊝(∃⊬547∲⫓∃⊬EF2)⨳⩥⨓(∃⊬661⨐⩸⫘∃⊬1A6D)⪛(∃⊬DD0⋥≓≎∃⊬12AD))↬(∃⊬733⋓∃⊬87C⪐)∀⇚≩((∃⊬65D⩚⊴⇥∃⊬1453)⨰(∃⊬AC1≎⊠⪸∃⊬DFF))","cot":[{"info":"∃⊬70A⊘=∃⊬0","layer":3},{"info":"∃⊬547∲⫓∃⊬EF2=∃⊬0","layer":3},{"info":"∃⊬0⪮%⊝∃⊬0=NaN","layer":2},{"info":"∃⊬661⨐⩸⫘∃⊬1A6D=NaN","layer":3},{"info":"∃⊬DD0⋥≓≎∃⊬12AD=∃⊬17AB","layer":3},{"info":"NaN⪛∃⊬17AB=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"∃⊬733⋓∃⊬87C=∃⊬0","layer":3},{"info":"∃⊬0⪐=∃⊬0","layer":2},{"info":"∃⊬65D⩚⊴⇥∃⊬1453=∃⊬-1B29","layer":3},{"info":"∃⊬AC1≎⊠⪸∃⊬DFF=∃⊬ADF6A","layer":3},{"info":"∃⊬-1B29⨰∃⊬ADF6A=∃⊬-AFA89","layer":2},{"info":"∃⊬0∀⇚≩∃⊬-AFA89=∃⊬-AFA89","layer":1},{"info":"NaN↬∃⊬-AFA89=NaN","layer":0}]}
{"id":171,"expression_no_base_symbol":"($2790$⨎$2557$⨎($4583$+$1522$)⋳⪒($5288$%$3153$⪨≂$4754$⨪↰⇹$6802$))⋓(⩦⩻⨪($1643$%$2009$)⋳⪒($1160$⊠≄⫣))","expression":"(∃⊬AE6⨎∃⊬9FD⨎(∃⊬11E7+∃⊬5F2)⋳⪒(∃⊬14A8%∃⊬C51⪨≂∃⊬1292⨪↰⇹∃⊬1A92))⋓(⩦⩻⨪(∃⊬66B%∃⊬7D9)⋳⪒(∃⊬488⊠≄⫣))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4797,"operation_count":12,"complexity_ratio":399.75,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2790,"base":16},"right_expr":{"type":"numeric_atoms","value":2557,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4583,"base":16},"right_expr":{"type":"numeric_atoms","value":1522,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5288,"base":16},"right_expr":{"type":"numeric_atoms","value":3153,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4754,"base":16},"right_expr":{"type":"numeric_atoms","value":6802,"base":16}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1643,"base":16},"right_expr":{"type":"numeric_atoms","value":2009,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1160,"base":16}}}}},"used_operators":["T2fj7uvVaJ","12rbrZMWeM","rJVOvQCfKK","W4YGzv6Whe","sdazOOVcIp","k8jYdgA6NY","tmPS8pqC7x","2td37pGCOC","DIvbN7qnHd"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2790","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=2557, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2557","layer":3},{"info":"number node, value=4583","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=1522, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6105","layer":3},{"info":"compute binary expreesion, left_input=2557, right_input=6105, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6105","layer":2},{"info":"number node, value=5288","layer":4},{"info":"number node, value=3153","layer":4},{"info":"compute binary expreesion, left_input=5288, right_input=3153, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2135","layer":3},{"info":"number node, value=4754","layer":4},{"info":"number node, value=6802","layer":4},{"info":"compute binary expreesion, left_input=4754, right_input=6802, 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=4754","layer":3},{"info":"compute binary expreesion, left_input=2135, right_input=4754, 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=-5136","layer":2},{"info":"compute binary expreesion, left_input=6105, right_input=-5136, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=17059","layer":1},{"info":"number node, value=1643","layer":4},{"info":"number node, value=2009","layer":4},{"info":"compute binary expreesion, left_input=1643, right_input=2009, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1643","layer":3},{"info":"number node, value=1160","layer":4},{"info":"compute unary expreesion, input=1160, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1643, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2999","layer":2},{"info":"compute unary expreesion, input=2999, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2999","layer":1},{"info":"compute binary expreesion, left_input=17059, right_input=2999, 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":"(∃⊬AE6⨎∃⊬9FD⨎(∃⊬11E7+∃⊬5F2)⋳⪒(∃⊬14A8%∃⊬C51⪨≂∃⊬1292⨪↰⇹∃⊬1A92))⋓(⩦⩻⨪(∃⊬66B%∃⊬7D9)⋳⪒(∃⊬488⊠≄⫣))=∃⊬0","reverse_text":"∃⊬0=(∃⊬AE6⨎∃⊬9FD⨎(∃⊬11E7+∃⊬5F2)⋳⪒(∃⊬14A8%∃⊬C51⪨≂∃⊬1292⨪↰⇹∃⊬1A92))⋓(⩦⩻⨪(∃⊬66B%∃⊬7D9)⋳⪒(∃⊬488⊠≄⫣))","cot":[{"info":"∃⊬AE6⨎∃⊬9FD=∃⊬9FD","layer":3},{"info":"∃⊬11E7+∃⊬5F2=∃⊬17D9","layer":3},{"info":"∃⊬9FD⨎∃⊬17D9=∃⊬17D9","layer":2},{"info":"∃⊬14A8%∃⊬C51=∃⊬857","layer":3},{"info":"∃⊬1292⨪↰⇹∃⊬1A92=∃⊬1292","layer":3},{"info":"∃⊬857⪨≂∃⊬1292=∃⊬-1410","layer":2},{"info":"∃⊬17D9⋳⪒∃⊬-1410=∃⊬42A3","layer":1},{"info":"∃⊬66B%∃⊬7D9=∃⊬66B","layer":3},{"info":"∃⊬488⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬66B⋳⪒∃⊬0=∃⊬BB7","layer":2},{"info":"⩦⩻⨪∃⊬BB7=∃⊬BB7","layer":1},{"info":"∃⊬42A3⋓∃⊬BB7=∃⊬0","layer":0}]}
{"id":172,"expression_no_base_symbol":"($4940$%$2094$)⇷($1001$⫸⊐$3008$)⩷∴($5142$*$3007$⪒$1988$⇷$1009$)-($1878$+⇶⊼$4879$⊘)≹⇙⪍(≦∁$5413$↙$1048$)","expression":"(∃⊬134C%∃⊬82E)⇷(∃⊬3E9⫸⊐∃⊬BC0)⩷∴(∃⊬1416*∃⊬BBF⪒∃⊬7C4⇷∃⊬3F1)-(∃⊬756+⇶⊼∃⊬130F⊘)≹⇙⪍(≦∁∃⊬1525↙∃⊬418)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":47013,"operation_count":13,"complexity_ratio":3616.3846153846152,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4940,"base":16},"right_expr":{"type":"numeric_atoms","value":2094,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1001,"base":16},"right_expr":{"type":"numeric_atoms","value":3008,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5142,"base":16},"right_expr":{"type":"numeric_atoms","value":3007,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1988,"base":16},"right_expr":{"type":"numeric_atoms","value":1009,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1878,"base":16},"right_expr":{"type":"numeric_atoms","value":4879,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5413,"base":16},"right_expr":{"type":"numeric_atoms","value":1048,"base":16}}}}},"used_operators":["rysDP5nf3Z","9FxExcQeMw","mp7IySMOzn","k8jYdgA6NY","mqXw5SEYmG","f6k1SAg4EE","9HNa5Wba9A","AHs5Up7iyr","gu96TGCTMs","TpPTUOHfaN","9ICcGScMcE","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4940","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=4940, right_input=2094, op_id = k8jYdgA6NY binary_op_definition= 'None', output=752","layer":3},{"info":"number node, value=1001","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=1001, right_input=3008, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11907","layer":3},{"info":"compute binary expreesion, left_input=752, right_input=11907, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=23814","layer":2},{"info":"number node, value=5142","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=3007, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15461994","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1009, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2018","layer":3},{"info":"compute binary expreesion, left_input=15461994, right_input=2018, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15464012","layer":2},{"info":"compute binary expreesion, left_input=23814, right_input=-15464012, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=30975620","layer":1},{"info":"number node, value=1878","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=1878, right_input=4879, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"number node, value=5413","layer":4},{"info":"number node, value=1048","layer":4},{"info":"compute binary expreesion, left_input=5413, right_input=1048, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3144","layer":3},{"info":"compute unary expreesion, input=-3144, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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=30975620, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬134C%∃⊬82E)⇷(∃⊬3E9⫸⊐∃⊬BC0)⩷∴(∃⊬1416*∃⊬BBF⪒∃⊬7C4⇷∃⊬3F1)-(∃⊬756+⇶⊼∃⊬130F⊘)≹⇙⪍(≦∁∃⊬1525↙∃⊬418)=NaN","reverse_text":"NaN=(∃⊬134C%∃⊬82E)⇷(∃⊬3E9⫸⊐∃⊬BC0)⩷∴(∃⊬1416*∃⊬BBF⪒∃⊬7C4⇷∃⊬3F1)-(∃⊬756+⇶⊼∃⊬130F⊘)≹⇙⪍(≦∁∃⊬1525↙∃⊬418)","cot":[{"info":"∃⊬134C%∃⊬82E=∃⊬2F0","layer":3},{"info":"∃⊬3E9⫸⊐∃⊬BC0=∃⊬2E83","layer":3},{"info":"∃⊬2F0⇷∃⊬2E83=∃⊬5D06","layer":2},{"info":"∃⊬1416*∃⊬BBF=∃⊬EBEE6A","layer":3},{"info":"∃⊬7C4⇷∃⊬3F1=∃⊬7E2","layer":3},{"info":"∃⊬EBEE6A⪒∃⊬7E2=∃⊬-EBF64C","layer":2},{"info":"∃⊬5D06⩷∴∃⊬-EBF64C=∃⊬1D8A684","layer":1},{"info":"∃⊬756+⇶⊼∃⊬130F=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"∃⊬1525↙∃⊬418=∃⊬-C48","layer":3},{"info":"≦∁∃⊬-C48=∃⊬43","layer":2},{"info":"NaN≹⇙⪍∃⊬43=NaN","layer":1},{"info":"∃⊬1D8A684-NaN=NaN","layer":0}]}
{"id":173,"expression_no_base_symbol":"(∥⊫((↯⪼$1213$)⊉≛↸$2208$⪄$2301$))/(⊙↵-($3750$≧⫂∧$2672$))⫸⊐(⊙↵-$2183$)≭$1173$⪛$4931$","expression":"(∥⊫((↯⪼∃⊬4BD)⊉≛↸∃⊬8A0⪄∃⊬8FD))/(⊙↵-(∃⊬EA6≧⫂∧∃⊬A70))⫸⊐(⊙↵-∃⊬887)≭∃⊬495⪛∃⊬1343","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4617,"operation_count":11,"complexity_ratio":419.72727272727275,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1213,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2208,"base":16},"right_expr":{"type":"numeric_atoms","value":2301,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3750,"base":16},"right_expr":{"type":"numeric_atoms","value":2672,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2183,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1173,"base":16},"right_expr":{"type":"numeric_atoms","value":4931,"base":16}}}}},"used_operators":["XhwjNDsVaA","P8v4zCKN1o","DZ8iAZOCBD","8jW3W4yZS5","SUmda5xLS4","mqXw5SEYmG","oWn0xqSxBt","Ph9nP6C5qx","rxpJgHHUmx","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1213","layer":4},{"info":"compute unary expreesion, input=1213, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2208","layer":4},{"info":"number node, value=2301","layer":4},{"info":"compute binary expreesion, left_input=2208, right_input=2301, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-332077","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-332077, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-42","layer":2},{"info":"compute unary expreesion, input=-42, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=826","layer":1},{"info":"number node, value=3750","layer":4},{"info":"number node, value=2672","layer":4},{"info":"compute binary expreesion, left_input=3750, right_input=2672, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2199","layer":3},{"info":"compute unary expreesion, input=2199, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1173","layer":4},{"info":"number node, value=4931","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=4931, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1173","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1173, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, 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=483","layer":1},{"info":"compute binary expreesion, left_input=826, right_input=483, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":0}],"base":16,"result_base":16,"text":"(∥⊫((↯⪼∃⊬4BD)⊉≛↸∃⊬8A0⪄∃⊬8FD))/(⊙↵-(∃⊬EA6≧⫂∧∃⊬A70))⫸⊐(⊙↵-∃⊬887)≭∃⊬495⪛∃⊬1343=∃⊬1","reverse_text":"∃⊬1=(∥⊫((↯⪼∃⊬4BD)⊉≛↸∃⊬8A0⪄∃⊬8FD))/(⊙↵-(∃⊬EA6≧⫂∧∃⊬A70))⫸⊐(⊙↵-∃⊬887)≭∃⊬495⪛∃⊬1343","cot":[{"info":"↯⪼∃⊬4BD=∃⊬-15","layer":3},{"info":"∃⊬8A0⪄∃⊬8FD=∃⊬-5112D","layer":3},{"info":"∃⊬-15⊉≛↸∃⊬-5112D=∃⊬-2A","layer":2},{"info":"∥⊫∃⊬-2A=∃⊬33A","layer":1},{"info":"∃⊬EA6≧⫂∧∃⊬A70=∃⊬897","layer":3},{"info":"⊙↵-∃⊬897=∃⊬-1","layer":2},{"info":"⊙↵-∃⊬887=∃⊬-1","layer":3},{"info":"∃⊬495⪛∃⊬1343=∃⊬495","layer":3},{"info":"∃⊬-1≭∃⊬495=NaN","layer":2},{"info":"∃⊬-1⫸⊐NaN=∃⊬1E3","layer":1},{"info":"∃⊬33A/∃⊬1E3=∃⊬1","layer":0}]}
{"id":174,"expression_no_base_symbol":"((⇁⨣⪵$2866$)≧⫂∧($4430$/$2233$)⊘)⋫","expression":"((⇁⨣⪵∃⊬B32)≧⫂∧(∃⊬114E/∃⊬8B9)⊘)⋫","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":5,"complexity_ratio":5.2,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2866,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4430,"base":16},"right_expr":{"type":"numeric_atoms","value":2233,"base":16}}}}},"used_operators":["JL8yIekQnl","gu96TGCTMs","Ph9nP6C5qx","inkyxCbjAn","XhwjNDsVaA"],"dependent_operators":["tmPS8pqC7x","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2866","layer":4},{"info":"compute unary expreesion, input=2866, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4430","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=4430, right_input=2233, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"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=-472","layer":2},{"info":"compute unary expreesion, input=-472, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"((⇁⨣⪵∃⊬B32)≧⫂∧(∃⊬114E/∃⊬8B9)⊘)⋫=∃⊬0","reverse_text":"∃⊬0=((⇁⨣⪵∃⊬B32)≧⫂∧(∃⊬114E/∃⊬8B9)⊘)⋫","cot":[{"info":"⇁⨣⪵∃⊬B32=NaN","layer":3},{"info":"∃⊬114E/∃⊬8B9=∃⊬1","layer":3},{"info":"NaN≧⫂∧∃⊬1=∃⊬-1D8","layer":2},{"info":"∃⊬-1D8⊘=∃⊬0","layer":1},{"info":"∃⊬0⋫=∃⊬0","layer":0}]}
{"id":175,"expression_no_base_symbol":"($6408$⪘⫢$4058$⨳⩥⨓($7026$↛⩡⫤)⊉≛↸($1743$⩚⊴⇥$5045$*(⨈⫕$5318$)))⩠","expression":"(∃⊬1908⪘⫢∃⊬FDA⨳⩥⨓(∃⊬1B72↛⩡⫤)⊉≛↸(∃⊬6CF⩚⊴⇥∃⊬13B5*(⨈⫕∃⊬14C6)))⩠","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21661,"operation_count":8,"complexity_ratio":2707.625,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6408,"base":16},"right_expr":{"type":"numeric_atoms","value":4058,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":7026,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1743,"base":16},"right_expr":{"type":"numeric_atoms","value":5045,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5318,"base":16}}}}},"used_operators":["sJAwomhLZr","DZ8iAZOCBD","nCS4ZIUYfx","oacrs7FA3X","FU0Cs4j7VP","9HNa5Wba9A","NTOWxs364D","megm06wKyl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬8DBD5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6408","layer":4},{"info":"number node, value=4058","layer":4},{"info":"compute binary expreesion, left_input=6408, right_input=4058, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12692","layer":3},{"info":"number node, value=7026","layer":4},{"info":"compute unary expreesion, input=7026, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1057015","layer":3},{"info":"compute binary expreesion, left_input=12692, right_input=-1057015, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1069707","layer":2},{"info":"number node, value=1743","layer":4},{"info":"number node, value=5045","layer":4},{"info":"compute binary expreesion, left_input=1743, right_input=5045, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6909","layer":3},{"info":"number node, value=5318","layer":4},{"info":"compute unary expreesion, input=5318, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-6909, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=145089","layer":2},{"info":"compute binary expreesion, left_input=-1069707, right_input=145089, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-145089","layer":1},{"info":"compute unary expreesion, input=-145089, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=580565","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1908⪘⫢∃⊬FDA⨳⩥⨓(∃⊬1B72↛⩡⫤)⊉≛↸(∃⊬6CF⩚⊴⇥∃⊬13B5*(⨈⫕∃⊬14C6)))⩠=∃⊬8DBD5","reverse_text":"∃⊬8DBD5=(∃⊬1908⪘⫢∃⊬FDA⨳⩥⨓(∃⊬1B72↛⩡⫤)⊉≛↸(∃⊬6CF⩚⊴⇥∃⊬13B5*(⨈⫕∃⊬14C6)))⩠","cot":[{"info":"∃⊬1908⪘⫢∃⊬FDA=∃⊬3194","layer":3},{"info":"∃⊬1B72↛⩡⫤=∃⊬-1020F7","layer":3},{"info":"∃⊬3194⨳⩥⨓∃⊬-1020F7=∃⊬-10528B","layer":2},{"info":"∃⊬6CF⩚⊴⇥∃⊬13B5=∃⊬-1AFD","layer":3},{"info":"⨈⫕∃⊬14C6=∃⊬-15","layer":3},{"info":"∃⊬-1AFD*∃⊬-15=∃⊬236C1","layer":2},{"info":"∃⊬-10528B⊉≛↸∃⊬236C1=∃⊬-236C1","layer":1},{"info":"∃⊬-236C1⩠=∃⊬8DBD5","layer":0}]}
{"id":176,"expression_no_base_symbol":"(($1053$⨰$1345$↙$1763$+⇶⊼$1234$)∑⇟⊟($2188$⨟⋌⩍$1769$∑⇟⊟(⊥$9388$)))⪢(⨰⫟⨤($1091$∼$3866$⨵⪆$1657$⊉≛↸$1061$))","expression":"((∃⊬41D⨰∃⊬541↙∃⊬6E3+⇶⊼∃⊬4D2)∑⇟⊟(∃⊬88C⨟⋌⩍∃⊬6E9∑⇟⊟(⊥∃⊬24AC)))⪢(⨰⫟⨤(∃⊬443∼∃⊬F1A⨵⪆∃⊬679⊉≛↸∃⊬425))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":931,"operation_count":12,"complexity_ratio":77.58333333333333,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1053,"base":16},"right_expr":{"type":"numeric_atoms","value":1345,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":1234,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2188,"base":16},"right_expr":{"type":"numeric_atoms","value":1769,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":9388,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":3866,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1657,"base":16},"right_expr":{"type":"numeric_atoms","value":1061,"base":16}}}}},"used_operators":["dWAJyo7jo9","U7g4x0WXJJ","yyfyN0ffXY","eewbuw0ToL","TpPTUOHfaN","rGHVDoGpnC","Q3PJZHRvZv","Tw270M8GLb","2DQ55sFlQl","DyGG3AbaNP","DZ8iAZOCBD"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","fu6greOZ01","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1053","layer":4},{"info":"number node, value=1345","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=1345, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-282","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1234, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-282, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-282","layer":2},{"info":"number node, value=2188","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=2188, right_input=1769, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=9388","layer":4},{"info":"compute unary expreesion, input=9388, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-282, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1091","layer":4},{"info":"number node, value=3866","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=3866, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=1061","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=1061, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3314","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3314, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 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 = 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":"((∃⊬41D⨰∃⊬541↙∃⊬6E3+⇶⊼∃⊬4D2)∑⇟⊟(∃⊬88C⨟⋌⩍∃⊬6E9∑⇟⊟(⊥∃⊬24AC)))⪢(⨰⫟⨤(∃⊬443∼∃⊬F1A⨵⪆∃⊬679⊉≛↸∃⊬425))=NaN","reverse_text":"NaN=((∃⊬41D⨰∃⊬541↙∃⊬6E3+⇶⊼∃⊬4D2)∑⇟⊟(∃⊬88C⨟⋌⩍∃⊬6E9∑⇟⊟(⊥∃⊬24AC)))⪢(⨰⫟⨤(∃⊬443∼∃⊬F1A⨵⪆∃⊬679⊉≛↸∃⊬425))","cot":[{"info":"∃⊬41D⨰∃⊬541=∃⊬-11A","layer":3},{"info":"∃⊬6E3+⇶⊼∃⊬4D2=NaN","layer":3},{"info":"∃⊬-11A↙NaN=∃⊬-11A","layer":2},{"info":"∃⊬88C⨟⋌⩍∃⊬6E9=NaN","layer":3},{"info":"⊥∃⊬24AC=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"∃⊬-11A∑⇟⊟NaN=NaN","layer":1},{"info":"∃⊬443∼∃⊬F1A=NaN","layer":3},{"info":"∃⊬679⊉≛↸∃⊬425=∃⊬CF2","layer":3},{"info":"NaN⨵⪆∃⊬CF2=∃⊬A0","layer":2},{"info":"⨰⫟⨤∃⊬A0=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":177,"expression_no_base_symbol":"↔(((↣≠⋷$3539$)+$6317$⇷$2235$)⨪↰⇹((↣≠⋷$1706$)⪄$2528$↙$6542$))","expression":"↔(((↣≠⋷∃⊬DD3)+∃⊬18AD⇷∃⊬8BB)⨪↰⇹((↣≠⋷∃⊬6AA)⪄∃⊬9E0↙∃⊬198E))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":95040,"operation_count":8,"complexity_ratio":11880.0,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3539,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6317,"base":16},"right_expr":{"type":"numeric_atoms","value":2235,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1706,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2528,"base":16},"right_expr":{"type":"numeric_atoms","value":6542,"base":16}}}}},"used_operators":["ruOEQAzv1W","tmPS8pqC7x","W4YGzv6Whe","Asc51vEJeQ","mp7IySMOzn","SUmda5xLS4","yyfyN0ffXY"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3539","layer":4},{"info":"compute unary expreesion, input=3539, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6317","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=6317, right_input=2235, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4470","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4470, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1706","layer":4},{"info":"compute unary expreesion, input=1706, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2528","layer":4},{"info":"number node, value=6542","layer":4},{"info":"compute binary expreesion, left_input=2528, right_input=6542, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-19626","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-19626, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=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":"↔(((↣≠⋷∃⊬DD3)+∃⊬18AD⇷∃⊬8BB)⨪↰⇹((↣≠⋷∃⊬6AA)⪄∃⊬9E0↙∃⊬198E))=∃⊬-86","reverse_text":"∃⊬-86=↔(((↣≠⋷∃⊬DD3)+∃⊬18AD⇷∃⊬8BB)⨪↰⇹((↣≠⋷∃⊬6AA)⪄∃⊬9E0↙∃⊬198E))","cot":[{"info":"↣≠⋷∃⊬DD3=NaN","layer":3},{"info":"∃⊬18AD⇷∃⊬8BB=∃⊬1176","layer":3},{"info":"NaN+∃⊬1176=NaN","layer":2},{"info":"↣≠⋷∃⊬6AA=NaN","layer":3},{"info":"∃⊬9E0↙∃⊬198E=∃⊬-4CAA","layer":3},{"info":"NaN⪄∃⊬-4CAA=∃⊬F8B","layer":2},{"info":"NaN⨪↰⇹∃⊬F8B=NaN","layer":1},{"info":"↔NaN=∃⊬-86","layer":0}]}
{"id":178,"expression_no_base_symbol":"((⊥($6843$⊭↱$1818$))⨎($1151$⋝⋈⪟$7988$⋷$2197$⪢$2222$))⪘⫢(($5450$⫸⊐$3275$)⫸⊐(⨵≀≌$5770$)⋷($4338$%$6361$)⋝⋈⪟($2720$≎⊠⪸$1815$))","expression":"((⊥(∃⊬1ABB⊭↱∃⊬71A))⨎(∃⊬47F⋝⋈⪟∃⊬1F34⋷∃⊬895⪢∃⊬8AE))⪘⫢((∃⊬154A⫸⊐∃⊬CCB)⫸⊐(⨵≀≌∃⊬168A)⋷(∃⊬10F2%∃⊬18D9)⋝⋈⪟(∃⊬AA0≎⊠⪸∃⊬717))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2570,"operation_count":14,"complexity_ratio":183.57142857142858,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6843,"base":16},"right_expr":{"type":"numeric_atoms","value":1818,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1151,"base":16},"right_expr":{"type":"numeric_atoms","value":7988,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2197,"base":16},"right_expr":{"type":"numeric_atoms","value":2222,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5450,"base":16},"right_expr":{"type":"numeric_atoms","value":3275,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5770,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4338,"base":16},"right_expr":{"type":"numeric_atoms","value":6361,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2720,"base":16},"right_expr":{"type":"numeric_atoms","value":1815,"base":16}}}}},"used_operators":["oacrs7FA3X","rJVOvQCfKK","Q3PJZHRvZv","COABgblf1C","23Mk6UjR3U","2DDjHMKMc0","dWAJyo7jo9","mqXw5SEYmG","srAu1WTS94","k8jYdgA6NY","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6843","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=6843, right_input=1818, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10045","layer":3},{"info":"compute unary expreesion, input=-10045, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=7988","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=7988, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1151","layer":3},{"info":"number node, value=2197","layer":4},{"info":"number node, value=2222","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=2222, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1151, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=5450","layer":4},{"info":"number node, value=3275","layer":4},{"info":"compute binary expreesion, left_input=5450, right_input=3275, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12975","layer":3},{"info":"number node, value=5770","layer":4},{"info":"compute unary expreesion, input=5770, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-17310","layer":3},{"info":"compute binary expreesion, left_input=12975, right_input=-17310, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-34749","layer":2},{"info":"number node, value=4338","layer":4},{"info":"number node, value=6361","layer":4},{"info":"compute binary expreesion, left_input=4338, right_input=6361, op_id = k8jYdgA6NY binary_op_definition= 'None', output=4338","layer":3},{"info":"number node, value=2720","layer":4},{"info":"number node, value=1815","layer":4},{"info":"compute binary expreesion, left_input=2720, right_input=1815, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=704007","layer":3},{"info":"compute binary expreesion, left_input=4338, right_input=704007, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4338","layer":2},{"info":"compute binary expreesion, left_input=-34749, right_input=4338, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=69498","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=69498, 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":"((⊥(∃⊬1ABB⊭↱∃⊬71A))⨎(∃⊬47F⋝⋈⪟∃⊬1F34⋷∃⊬895⪢∃⊬8AE))⪘⫢((∃⊬154A⫸⊐∃⊬CCB)⫸⊐(⨵≀≌∃⊬168A)⋷(∃⊬10F2%∃⊬18D9)⋝⋈⪟(∃⊬AA0≎⊠⪸∃⊬717))=NaN","reverse_text":"NaN=((⊥(∃⊬1ABB⊭↱∃⊬71A))⨎(∃⊬47F⋝⋈⪟∃⊬1F34⋷∃⊬895⪢∃⊬8AE))⪘⫢((∃⊬154A⫸⊐∃⊬CCB)⫸⊐(⨵≀≌∃⊬168A)⋷(∃⊬10F2%∃⊬18D9)⋝⋈⪟(∃⊬AA0≎⊠⪸∃⊬717))","cot":[{"info":"∃⊬1ABB⊭↱∃⊬71A=∃⊬-273D","layer":3},{"info":"⊥∃⊬-273D=NaN","layer":2},{"info":"∃⊬47F⋝⋈⪟∃⊬1F34=∃⊬47F","layer":3},{"info":"∃⊬895⪢∃⊬8AE=NaN","layer":3},{"info":"∃⊬47F⋷NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"∃⊬154A⫸⊐∃⊬CCB=∃⊬32AF","layer":3},{"info":"⨵≀≌∃⊬168A=∃⊬-439E","layer":3},{"info":"∃⊬32AF⫸⊐∃⊬-439E=∃⊬-87BD","layer":2},{"info":"∃⊬10F2%∃⊬18D9=∃⊬10F2","layer":3},{"info":"∃⊬AA0≎⊠⪸∃⊬717=∃⊬ABE07","layer":3},{"info":"∃⊬10F2⋝⋈⪟∃⊬ABE07=∃⊬10F2","layer":2},{"info":"∃⊬-87BD⋷∃⊬10F2=∃⊬10F7A","layer":1},{"info":"NaN⪘⫢∃⊬10F7A=NaN","layer":0}]}
{"id":179,"expression_no_base_symbol":"⨰⫟⨤(($5302$+⇶⊼$4419$≋⫹)⨐⩸⫘($4111$⊦⊿)≧⫂∧($1719$≎⊠⪸$1424$))","expression":"⨰⫟⨤((∃⊬14B6+⇶⊼∃⊬1143≋⫹)⨐⩸⫘(∃⊬100F⊦⊿)≧⫂∧(∃⊬6B7≎⊠⪸∃⊬590))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":311,"operation_count":7,"complexity_ratio":44.42857142857143,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5302,"base":16},"right_expr":{"type":"numeric_atoms","value":4419,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4111,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1719,"base":16},"right_expr":{"type":"numeric_atoms","value":1424,"base":16}}}}},"used_operators":["Tw270M8GLb","fu6greOZ01","N41Kp7NANJ","TpPTUOHfaN","Ph9nP6C5qx","14qkJME0vr","bJkvcejdHO"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5302","layer":4},{"info":"number node, value=4419","layer":4},{"info":"compute binary expreesion, left_input=5302, right_input=4419, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"number node, value=4111","layer":4},{"info":"compute unary expreesion, input=4111, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12412","layer":3},{"info":"number node, value=1719","layer":4},{"info":"number node, value=1424","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1424, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=444748","layer":3},{"info":"compute binary expreesion, left_input=-12412, right_input=444748, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=444275","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=444275, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤((∃⊬14B6+⇶⊼∃⊬1143≋⫹)⨐⩸⫘(∃⊬100F⊦⊿)≧⫂∧(∃⊬6B7≎⊠⪸∃⊬590))=NaN","reverse_text":"NaN=⨰⫟⨤((∃⊬14B6+⇶⊼∃⊬1143≋⫹)⨐⩸⫘(∃⊬100F⊦⊿)≧⫂∧(∃⊬6B7≎⊠⪸∃⊬590))","cot":[{"info":"∃⊬14B6+⇶⊼∃⊬1143=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"∃⊬100F⊦⊿=∃⊬-307C","layer":3},{"info":"∃⊬6B7≎⊠⪸∃⊬590=∃⊬6C94C","layer":3},{"info":"∃⊬-307C≧⫂∧∃⊬6C94C=∃⊬6C773","layer":2},{"info":"NaN⨐⩸⫘∃⊬6C773=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":180,"expression_no_base_symbol":"((($1721$↛⩡⫤)/$3931$⩚⊴⇥$3728$)+⇶⊼($3185$⊭↱$2782$)↬(⇁⨣⪵$2557$))∼((↽≂$3731$)∑⇟⊟$7142$∀⇚≩$2852$≭(∂($7553$↙$6737$)))","expression":"(((∃⊬6B9↛⩡⫤)/∃⊬F5B⩚⊴⇥∃⊬E90)+⇶⊼(∃⊬C71⊭↱∃⊬ADE)↬(⇁⨣⪵∃⊬9FD))∼((↽≂∃⊬E93)∑⇟⊟∃⊬1BE6∀⇚≩∃⊬B24≭(∂(∃⊬1D81↙∃⊬1A51)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":62500,"operation_count":14,"complexity_ratio":4464.285714285715,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1721,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3931,"base":16},"right_expr":{"type":"numeric_atoms","value":3728,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3185,"base":16},"right_expr":{"type":"numeric_atoms","value":2782,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2557,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3731,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7142,"base":16},"right_expr":{"type":"numeric_atoms","value":2852,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":7553,"base":16},"right_expr":{"type":"numeric_atoms","value":6737,"base":16}}}}},"used_operators":["DyGG3AbaNP","TpPTUOHfaN","XhwjNDsVaA","FU0Cs4j7VP","NTOWxs364D","B5M0gjZbta","COABgblf1C","inkyxCbjAn","rxpJgHHUmx","U7g4x0WXJJ","u6S6b8DprG","LRNGc0VcxI","Uaa54Peajs","yyfyN0ffXY"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1721","layer":4},{"info":"compute unary expreesion, input=1721, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-255960","layer":3},{"info":"number node, value=3931","layer":4},{"info":"number node, value=3728","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=3728, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7780","layer":3},{"info":"compute binary expreesion, left_input=-255960, right_input=-7780, op_id = XhwjNDsVaA binary_op_definition= 'None', output=32","layer":2},{"info":"number node, value=3185","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=3185, right_input=2782, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-801","layer":3},{"info":"number node, value=2557","layer":4},{"info":"compute unary expreesion, input=2557, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-801, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=32, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3731","layer":4},{"info":"compute unary expreesion, input=3731, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7462","layer":3},{"info":"number node, value=7142","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=7142, right_input=2852, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7462, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7553","layer":4},{"info":"number node, value=6737","layer":4},{"info":"compute binary expreesion, left_input=7553, right_input=6737, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-20211","layer":3},{"info":"compute unary expreesion, input=-20211, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=19947","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=19947, 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 = 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":"(((∃⊬6B9↛⩡⫤)/∃⊬F5B⩚⊴⇥∃⊬E90)+⇶⊼(∃⊬C71⊭↱∃⊬ADE)↬(⇁⨣⪵∃⊬9FD))∼((↽≂∃⊬E93)∑⇟⊟∃⊬1BE6∀⇚≩∃⊬B24≭(∂(∃⊬1D81↙∃⊬1A51)))=NaN","reverse_text":"NaN=(((∃⊬6B9↛⩡⫤)/∃⊬F5B⩚⊴⇥∃⊬E90)+⇶⊼(∃⊬C71⊭↱∃⊬ADE)↬(⇁⨣⪵∃⊬9FD))∼((↽≂∃⊬E93)∑⇟⊟∃⊬1BE6∀⇚≩∃⊬B24≭(∂(∃⊬1D81↙∃⊬1A51)))","cot":[{"info":"∃⊬6B9↛⩡⫤=∃⊬-3E7D8","layer":3},{"info":"∃⊬F5B⩚⊴⇥∃⊬E90=∃⊬-1E64","layer":3},{"info":"∃⊬-3E7D8/∃⊬-1E64=∃⊬20","layer":2},{"info":"∃⊬C71⊭↱∃⊬ADE=∃⊬-321","layer":3},{"info":"⇁⨣⪵∃⊬9FD=NaN","layer":3},{"info":"∃⊬-321↬NaN=NaN","layer":2},{"info":"∃⊬20+⇶⊼NaN=NaN","layer":1},{"info":"↽≂∃⊬E93=∃⊬-1D26","layer":3},{"info":"∃⊬1BE6∀⇚≩∃⊬B24=NaN","layer":3},{"info":"∃⊬-1D26∑⇟⊟NaN=NaN","layer":2},{"info":"∃⊬1D81↙∃⊬1A51=∃⊬-4EF3","layer":3},{"info":"∂∃⊬-4EF3=∃⊬4DEB","layer":2},{"info":"NaN≭∃⊬4DEB=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":181,"expression_no_base_symbol":"(↣≠⋷($3472$≋⫹))⪢(⫛⫱⨽($1859$⪨≂$1151$))⋷((⨞⊢$1786$)⩤)*(≉$3005$)⪮%⊝($1086$⋳⪒$1680$)","expression":"(↣≠⋷(∃⊬D90≋⫹))⪢(⫛⫱⨽(∃⊬743⪨≂∃⊬47F))⋷((⨞⊢∃⊬6FA)⩤)*(≉∃⊬BBD)⪮%⊝(∃⊬43E⋳⪒∃⊬690)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3417,"operation_count":12,"complexity_ratio":284.75,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3472,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1859,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1786,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3005,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1086,"base":16},"right_expr":{"type":"numeric_atoms","value":1680,"base":16}}}}},"used_operators":["23Mk6UjR3U","dWAJyo7jo9","Asc51vEJeQ","N41Kp7NANJ","DlLNRPXxWL","sdazOOVcIp","9HNa5Wba9A","Z2TMIBDE3Q","xUOZtlo3hN","IWmyXbctLI","e1ybzncUwg","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6944","layer":3},{"info":"compute unary expreesion, input=-6944, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1859","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1859, right_input=1151, 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=1518","layer":3},{"info":"compute unary expreesion, input=1518, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=1786","layer":4},{"info":"compute unary expreesion, input=1786, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1960","layer":3},{"info":"compute unary expreesion, input=-1960, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1960","layer":2},{"info":"number node, value=3005","layer":4},{"info":"compute unary expreesion, input=3005, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3536","layer":3},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1680","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1680, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=205","layer":3},{"info":"compute binary expreesion, left_input=3536, right_input=205, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7388","layer":2},{"info":"compute binary expreesion, left_input=1960, right_input=7388, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=14480480","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=14480480, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷(∃⊬D90≋⫹))⪢(⫛⫱⨽(∃⊬743⪨≂∃⊬47F))⋷((⨞⊢∃⊬6FA)⩤)*(≉∃⊬BBD)⪮%⊝(∃⊬43E⋳⪒∃⊬690)=∃⊬0","reverse_text":"∃⊬0=(↣≠⋷(∃⊬D90≋⫹))⪢(⫛⫱⨽(∃⊬743⪨≂∃⊬47F))⋷((⨞⊢∃⊬6FA)⩤)*(≉∃⊬BBD)⪮%⊝(∃⊬43E⋳⪒∃⊬690)","cot":[{"info":"∃⊬D90≋⫹=∃⊬-1B20","layer":3},{"info":"↣≠⋷∃⊬-1B20=NaN","layer":2},{"info":"∃⊬743⪨≂∃⊬47F=∃⊬5EE","layer":3},{"info":"⫛⫱⨽∃⊬5EE=∃⊬0","layer":2},{"info":"NaN⪢∃⊬0=∃⊬0","layer":1},{"info":"⨞⊢∃⊬6FA=∃⊬-7A8","layer":3},{"info":"∃⊬-7A8⩤=∃⊬7A8","layer":2},{"info":"≉∃⊬BBD=∃⊬DD0","layer":3},{"info":"∃⊬43E⋳⪒∃⊬690=∃⊬CD","layer":3},{"info":"∃⊬DD0⪮%⊝∃⊬CD=∃⊬1CDC","layer":2},{"info":"∃⊬7A8*∃⊬1CDC=∃⊬DCF460","layer":1},{"info":"∃⊬0⋷∃⊬DCF460=∃⊬0","layer":0}]}
{"id":182,"expression_no_base_symbol":"(∂$3777$⪛$2723$)≧⫂∧($1128$≧⫂∧$2134$⨽$5786$⪮%⊝$5588$)⨳⩥⨓((≤/$6684$)⇼⇔∾$5631$≧⫂∧$3659$)⨓($2558$⋝⋈⪟$1843$⩨($2125$-$7207$))","expression":"(∂∃⊬EC1⪛∃⊬AA3)≧⫂∧(∃⊬468≧⫂∧∃⊬856⨽∃⊬169A⪮%⊝∃⊬15D4)⨳⩥⨓((≤/∃⊬1A1C)⇼⇔∾∃⊬15FF≧⫂∧∃⊬E4B)⨓(∃⊬9FE⋝⋈⪟∃⊬733⩨(∃⊬84D-∃⊬1C27))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1714,"operation_count":14,"complexity_ratio":122.42857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3777,"base":16},"right_expr":{"type":"numeric_atoms","value":2723,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1128,"base":16},"right_expr":{"type":"numeric_atoms","value":2134,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5786,"base":16},"right_expr":{"type":"numeric_atoms","value":5588,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6684,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5631,"base":16},"right_expr":{"type":"numeric_atoms","value":3659,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2558,"base":16},"right_expr":{"type":"numeric_atoms","value":1843,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2125,"base":16},"right_expr":{"type":"numeric_atoms","value":7207,"base":16}}}}},"used_operators":["nCS4ZIUYfx","Ph9nP6C5qx","Uaa54Peajs","uFcxV4UQCh","8HhzD0ZcuI","IWmyXbctLI","3ViojmjbAp","tifHPKVTfV","eLAdDNolq6","2DlMacCsIx","2DDjHMKMc0","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3777","layer":4},{"info":"number node, value=2723","layer":4},{"info":"compute binary expreesion, left_input=3777, right_input=2723, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1054","layer":3},{"info":"compute unary expreesion, input=1054, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=1128","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=2134, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1661","layer":3},{"info":"number node, value=5786","layer":4},{"info":"number node, value=5588","layer":4},{"info":"compute binary expreesion, left_input=5786, right_input=5588, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11888","layer":3},{"info":"compute binary expreesion, left_input=1661, right_input=11888, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8311113","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8311113, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=6684","layer":4},{"info":"compute unary expreesion, input=6684, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6200","layer":3},{"info":"number node, value=5631","layer":4},{"info":"number node, value=3659","layer":4},{"info":"compute binary expreesion, left_input=5631, right_input=3659, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3186","layer":3},{"info":"compute binary expreesion, left_input=-6200, right_input=3186, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9386","layer":2},{"info":"number node, value=2558","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=1843, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2558","layer":3},{"info":"number node, value=2125","layer":4},{"info":"number node, value=7207","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=7207, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5082","layer":3},{"info":"compute binary expreesion, left_input=2558, right_input=-5082, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"compute binary expreesion, left_input=9386, right_input=6, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-9","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-9, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∂∃⊬EC1⪛∃⊬AA3)≧⫂∧(∃⊬468≧⫂∧∃⊬856⨽∃⊬169A⪮%⊝∃⊬15D4)⨳⩥⨓((≤/∃⊬1A1C)⇼⇔∾∃⊬15FF≧⫂∧∃⊬E4B)⨓(∃⊬9FE⋝⋈⪟∃⊬733⩨(∃⊬84D-∃⊬1C27))=NaN","reverse_text":"NaN=(∂∃⊬EC1⪛∃⊬AA3)≧⫂∧(∃⊬468≧⫂∧∃⊬856⨽∃⊬169A⪮%⊝∃⊬15D4)⨳⩥⨓((≤/∃⊬1A1C)⇼⇔∾∃⊬15FF≧⫂∧∃⊬E4B)⨓(∃⊬9FE⋝⋈⪟∃⊬733⩨(∃⊬84D-∃⊬1C27))","cot":[{"info":"∃⊬EC1⪛∃⊬AA3=∃⊬41E","layer":3},{"info":"∂∃⊬41E=NaN","layer":2},{"info":"∃⊬468≧⫂∧∃⊬856=∃⊬67D","layer":3},{"info":"∃⊬169A⪮%⊝∃⊬15D4=∃⊬2E70","layer":3},{"info":"∃⊬67D⨽∃⊬2E70=∃⊬-7ED149","layer":2},{"info":"NaN≧⫂∧∃⊬-7ED149=NaN","layer":1},{"info":"≤/∃⊬1A1C=∃⊬-1838","layer":3},{"info":"∃⊬15FF≧⫂∧∃⊬E4B=∃⊬C72","layer":3},{"info":"∃⊬-1838⇼⇔∾∃⊬C72=∃⊬24AA","layer":2},{"info":"∃⊬9FE⋝⋈⪟∃⊬733=∃⊬9FE","layer":3},{"info":"∃⊬84D-∃⊬1C27=∃⊬-13DA","layer":3},{"info":"∃⊬9FE⩨∃⊬-13DA=∃⊬6","layer":2},{"info":"∃⊬24AA⨓∃⊬6=∃⊬-9","layer":1},{"info":"NaN⨳⩥⨓∃⊬-9=NaN","layer":0}]}
{"id":183,"expression_no_base_symbol":"(≤/(⊄⩳↩$2446$))≹⇙⪍(⪲⇎$3917$⋥≓≎$3789$)⊴(((-$1462$)⫸⊐($4324$⪨≂$1401$))≦≮≮)","expression":"(≤/(⊄⩳↩∃⊬98E))≹⇙⪍(⪲⇎∃⊬F4D⋥≓≎∃⊬ECD)⊴(((-∃⊬5B6)⫸⊐(∃⊬10E4⪨≂∃⊬579))≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2934,"operation_count":10,"complexity_ratio":293.4,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2446,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3917,"base":16},"right_expr":{"type":"numeric_atoms","value":3789,"base":16}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1462,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4324,"base":16},"right_expr":{"type":"numeric_atoms","value":1401,"base":16}}}}},"used_operators":["Nsiff2A1zJ","AHs5Up7iyr","eLAdDNolq6","8w2t5hMYqp","XPYlsWDdGa","Qy55tPpLXF","D4vGDi5EA2","mqXw5SEYmG","t8gj7n24qd","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2446","layer":4},{"info":"compute unary expreesion, input=2446, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7338","layer":3},{"info":"compute unary expreesion, input=-7338, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7822","layer":2},{"info":"number node, value=3917","layer":4},{"info":"number node, value=3789","layer":4},{"info":"compute binary expreesion, left_input=3917, right_input=3789, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3694","layer":3},{"info":"compute unary expreesion, input=3694, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7388","layer":2},{"info":"compute binary expreesion, left_input=7822, right_input=7388, 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=1462","layer":4},{"info":"compute unary expreesion, input=1462, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1462","layer":3},{"info":"number node, value=4324","layer":4},{"info":"number node, value=1401","layer":4},{"info":"compute binary expreesion, left_input=4324, right_input=1401, 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=5948","layer":3},{"info":"compute binary expreesion, left_input=-1462, right_input=5948, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-2904","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2904, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/(⊄⩳↩∃⊬98E))≹⇙⪍(⪲⇎∃⊬F4D⋥≓≎∃⊬ECD)⊴(((-∃⊬5B6)⫸⊐(∃⊬10E4⪨≂∃⊬579))≦≮≮)=NaN","reverse_text":"NaN=(≤/(⊄⩳↩∃⊬98E))≹⇙⪍(⪲⇎∃⊬F4D⋥≓≎∃⊬ECD)⊴(((-∃⊬5B6)⫸⊐(∃⊬10E4⪨≂∃⊬579))≦≮≮)","cot":[{"info":"⊄⩳↩∃⊬98E=∃⊬-1CAA","layer":3},{"info":"≤/∃⊬-1CAA=∃⊬1E8E","layer":2},{"info":"∃⊬F4D⋥≓≎∃⊬ECD=∃⊬E6E","layer":3},{"info":"⪲⇎∃⊬E6E=∃⊬1CDC","layer":2},{"info":"∃⊬1E8E≹⇙⪍∃⊬1CDC=NaN","layer":1},{"info":"-∃⊬5B6=∃⊬-5B6","layer":3},{"info":"∃⊬10E4⪨≂∃⊬579=∃⊬173C","layer":3},{"info":"∃⊬-5B6⫸⊐∃⊬173C=∃⊬3C8","layer":2},{"info":"∃⊬3C8≦≮≮=∃⊬-B58","layer":1},{"info":"NaN⊴∃⊬-B58=NaN","layer":0}]}
{"id":184,"expression_no_base_symbol":"($2533$⨐⩸⫘$1019$)≹⇙⪍($1220$+$5292$)⫸⊐($1027$%$2197$)⪢(∂$8027$)⨵⪆($2082$⪘⫢$2928$⫸⊐$1582$⋝⋈⪟$4960$)↬(($5841$-$3496$)↺($3681$*$2154$))","expression":"(∃⊬9E5⨐⩸⫘∃⊬3FB)≹⇙⪍(∃⊬4C4+∃⊬14AC)⫸⊐(∃⊬403%∃⊬895)⪢(∂∃⊬1F5B)⨵⪆(∃⊬822⪘⫢∃⊬B70⫸⊐∃⊬62E⋝⋈⪟∃⊬1360)↬((∃⊬16D1-∃⊬DA8)↺(∃⊬E61*∃⊬86A))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2211,"operation_count":15,"complexity_ratio":147.4,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2533,"base":16},"right_expr":{"type":"numeric_atoms","value":1019,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1220,"base":16},"right_expr":{"type":"numeric_atoms","value":5292,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1027,"base":16},"right_expr":{"type":"numeric_atoms","value":2197,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":8027,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2082,"base":16},"right_expr":{"type":"numeric_atoms","value":2928,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1582,"base":16},"right_expr":{"type":"numeric_atoms","value":4960,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5841,"base":16},"right_expr":{"type":"numeric_atoms","value":3496,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3681,"base":16},"right_expr":{"type":"numeric_atoms","value":2154,"base":16}}}}},"used_operators":["2DQ55sFlQl","mqXw5SEYmG","AHs5Up7iyr","fu6greOZ01","W4YGzv6Whe","dWAJyo7jo9","k8jYdgA6NY","Uaa54Peajs","B5M0gjZbta","oacrs7FA3X","2DDjHMKMc0","7j4O788W3g","rysDP5nf3Z","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","3ViojmjbAp","k8jYdgA6NY","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2533","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=2533, right_input=1019, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1220","layer":4},{"info":"number node, value=5292","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=5292, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6512","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6512, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2197, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1027","layer":3},{"info":"number node, value=8027","layer":4},{"info":"compute unary expreesion, input=8027, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1027, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=2082","layer":4},{"info":"number node, value=2928","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=2928, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4040","layer":3},{"info":"number node, value=1582","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=1582, right_input=4960, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1582","layer":3},{"info":"compute binary expreesion, left_input=4040, right_input=1582, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6203","layer":2},{"info":"number node, value=5841","layer":4},{"info":"number node, value=3496","layer":4},{"info":"compute binary expreesion, left_input=5841, right_input=3496, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2345","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=3681, right_input=2154, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7928874","layer":3},{"info":"compute binary expreesion, left_input=2345, right_input=7928874, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7928874","layer":2},{"info":"compute binary expreesion, left_input=6203, right_input=7928874, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9E5⨐⩸⫘∃⊬3FB)≹⇙⪍(∃⊬4C4+∃⊬14AC)⫸⊐(∃⊬403%∃⊬895)⪢(∂∃⊬1F5B)⨵⪆(∃⊬822⪘⫢∃⊬B70⫸⊐∃⊬62E⋝⋈⪟∃⊬1360)↬((∃⊬16D1-∃⊬DA8)↺(∃⊬E61*∃⊬86A))=∃⊬A0","reverse_text":"∃⊬A0=(∃⊬9E5⨐⩸⫘∃⊬3FB)≹⇙⪍(∃⊬4C4+∃⊬14AC)⫸⊐(∃⊬403%∃⊬895)⪢(∂∃⊬1F5B)⨵⪆(∃⊬822⪘⫢∃⊬B70⫸⊐∃⊬62E⋝⋈⪟∃⊬1360)↬((∃⊬16D1-∃⊬DA8)↺(∃⊬E61*∃⊬86A))","cot":[{"info":"∃⊬9E5⨐⩸⫘∃⊬3FB=NaN","layer":3},{"info":"∃⊬4C4+∃⊬14AC=∃⊬1970","layer":3},{"info":"NaN≹⇙⪍∃⊬1970=NaN","layer":2},{"info":"∃⊬403%∃⊬895=∃⊬403","layer":3},{"info":"∂∃⊬1F5B=NaN","layer":3},{"info":"∃⊬403⪢NaN=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"∃⊬822⪘⫢∃⊬B70=∃⊬FC8","layer":3},{"info":"∃⊬62E⋝⋈⪟∃⊬1360=∃⊬62E","layer":3},{"info":"∃⊬FC8⫸⊐∃⊬62E=∃⊬183B","layer":2},{"info":"∃⊬16D1-∃⊬DA8=∃⊬929","layer":3},{"info":"∃⊬E61*∃⊬86A=∃⊬78FC2A","layer":3},{"info":"∃⊬929↺∃⊬78FC2A=∃⊬78FC2A","layer":2},{"info":"∃⊬183B↬∃⊬78FC2A=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":185,"expression_no_base_symbol":"(≉$1538$↺$2781$↺($1472$⇋≉))⫸⊐(⊙↵-(($1684$∧)⩠))","expression":"(≉∃⊬602↺∃⊬ADD↺(∃⊬5C0⇋≉))⫸⊐(⊙↵-((∃⊬694∧)⩠))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":82,"operation_count":8,"complexity_ratio":10.25,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1538,"base":16},"right_expr":{"type":"numeric_atoms","value":2781,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1472,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1684,"base":16}}}}},"used_operators":["mqXw5SEYmG","e1ybzncUwg","7j4O788W3g","XIabStNQrY","oWn0xqSxBt","sJAwomhLZr","z63VuFQld9"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1538","layer":4},{"info":"number node, value=2781","layer":4},{"info":"compute binary expreesion, left_input=1538, right_input=2781, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2781","layer":3},{"info":"number node, value=1472","layer":4},{"info":"compute unary expreesion, input=1472, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2846","layer":3},{"info":"compute binary expreesion, left_input=2781, right_input=2846, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2846","layer":2},{"info":"compute unary expreesion, input=2846, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3377","layer":1},{"info":"number node, value=1684","layer":4},{"info":"compute unary expreesion, input=1684, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3377, 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":"(≉∃⊬602↺∃⊬ADD↺(∃⊬5C0⇋≉))⫸⊐(⊙↵-((∃⊬694∧)⩠))=NaN","reverse_text":"NaN=(≉∃⊬602↺∃⊬ADD↺(∃⊬5C0⇋≉))⫸⊐(⊙↵-((∃⊬694∧)⩠))","cot":[{"info":"∃⊬602↺∃⊬ADD=∃⊬ADD","layer":3},{"info":"∃⊬5C0⇋≉=∃⊬B1E","layer":3},{"info":"∃⊬ADD↺∃⊬B1E=∃⊬B1E","layer":2},{"info":"≉∃⊬B1E=∃⊬D31","layer":1},{"info":"∃⊬694∧=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"∃⊬D31⫸⊐NaN=NaN","layer":0}]}
{"id":186,"expression_no_base_symbol":"⫓⪴((≦∁$1918$)⨰($4025$∲⫓$4279$))⪮%⊝(($3771$⋓$1641$)⪘⫢($6414$⋓$4873$))","expression":"⫓⪴((≦∁∃⊬77E)⨰(∃⊬FB9∲⫓∃⊬10B7))⪮%⊝((∃⊬EBB⋓∃⊬669)⪘⫢(∃⊬190E⋓∃⊬1309))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":54,"operation_count":8,"complexity_ratio":6.75,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1918,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4025,"base":16},"right_expr":{"type":"numeric_atoms","value":4279,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3771,"base":16},"right_expr":{"type":"numeric_atoms","value":1641,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6414,"base":16},"right_expr":{"type":"numeric_atoms","value":4873,"base":16}}}}},"used_operators":["eLxqMNBOBk","IWmyXbctLI","eewbuw0ToL","9ICcGScMcE","i8ToyICDmI","oacrs7FA3X","T2fj7uvVaJ"],"dependent_operators":["9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","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=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1918","layer":3},{"info":"number node, value=4025","layer":4},{"info":"number node, value=4279","layer":4},{"info":"compute binary expreesion, left_input=4025, right_input=4279, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1918, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1928","layer":2},{"info":"number node, value=3771","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=1641, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=6414","layer":4},{"info":"number node, value=4873","layer":4},{"info":"compute binary expreesion, left_input=6414, right_input=4873, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1928, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢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":"⫓⪴((≦∁∃⊬77E)⨰(∃⊬FB9∲⫓∃⊬10B7))⪮%⊝((∃⊬EBB⋓∃⊬669)⪘⫢(∃⊬190E⋓∃⊬1309))=NaN","reverse_text":"NaN=⫓⪴((≦∁∃⊬77E)⨰(∃⊬FB9∲⫓∃⊬10B7))⪮%⊝((∃⊬EBB⋓∃⊬669)⪘⫢(∃⊬190E⋓∃⊬1309))","cot":[{"info":"≦∁∃⊬77E=∃⊬77E","layer":3},{"info":"∃⊬FB9∲⫓∃⊬10B7=∃⊬0","layer":3},{"info":"∃⊬77E⨰∃⊬0=∃⊬788","layer":2},{"info":"∃⊬EBB⋓∃⊬669=∃⊬0","layer":3},{"info":"∃⊬190E⋓∃⊬1309=∃⊬0","layer":3},{"info":"∃⊬0⪘⫢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬788⪮%⊝∃⊬0=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":187,"expression_no_base_symbol":"(≉(⨑⩽⪐$3505$⋓$1522$))%(+⊝⨔(↯⪼($1029$⪘⫢$2658$)))","expression":"(≉(⨑⩽⪐∃⊬DB1⋓∃⊬5F2))%(+⊝⨔(↯⪼(∃⊬405⪘⫢∃⊬A62)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":89,"operation_count":7,"complexity_ratio":12.714285714285714,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3505,"base":16},"right_expr":{"type":"numeric_atoms","value":1522,"base":16}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1029,"base":16},"right_expr":{"type":"numeric_atoms","value":2658,"base":16}}}}},"used_operators":["k8jYdgA6NY","e1ybzncUwg","AF7qkfDlqP","T2fj7uvVaJ","DhbWaqg5eL","8jW3W4yZS5","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬528","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3505","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=1522, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"compute unary expreesion, input=789, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1320","layer":1},{"info":"number node, value=1029","layer":4},{"info":"number node, value=2658","layer":4},{"info":"compute binary expreesion, left_input=1029, right_input=2658, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1934","layer":3},{"info":"compute unary expreesion, input=1934, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 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=1320, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1320","layer":0}],"base":16,"result_base":16,"text":"(≉(⨑⩽⪐∃⊬DB1⋓∃⊬5F2))%(+⊝⨔(↯⪼(∃⊬405⪘⫢∃⊬A62)))=∃⊬528","reverse_text":"∃⊬528=(≉(⨑⩽⪐∃⊬DB1⋓∃⊬5F2))%(+⊝⨔(↯⪼(∃⊬405⪘⫢∃⊬A62)))","cot":[{"info":"∃⊬DB1⋓∃⊬5F2=∃⊬0","layer":3},{"info":"⨑⩽⪐∃⊬0=∃⊬315","layer":2},{"info":"≉∃⊬315=∃⊬528","layer":1},{"info":"∃⊬405⪘⫢∃⊬A62=∃⊬78E","layer":3},{"info":"↯⪼∃⊬78E=∃⊬-15","layer":2},{"info":"+⊝⨔∃⊬-15=∃⊬5F2","layer":1},{"info":"∃⊬528%∃⊬5F2=∃⊬528","layer":0}]}
{"id":188,"expression_no_base_symbol":"(≉(⫛⫱⨽($4172$∑⇟⊟$1789$)))⪒(⊄⩳↩(⫓⪴$1395$)↬($1623$≭$2028$))","expression":"(≉(⫛⫱⨽(∃⊬104C∑⇟⊟∃⊬6FD)))⪒(⊄⩳↩(⫓⪴∃⊬573)↬(∃⊬657≭∃⊬7EC))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2317,"operation_count":8,"complexity_ratio":289.625,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4172,"base":16},"right_expr":{"type":"numeric_atoms","value":1789,"base":16}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1395,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1623,"base":16},"right_expr":{"type":"numeric_atoms","value":2028,"base":16}}}}},"used_operators":["f6k1SAg4EE","e1ybzncUwg","DlLNRPXxWL","U7g4x0WXJJ","8w2t5hMYqp","B5M0gjZbta","eLxqMNBOBk","rxpJgHHUmx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4172","layer":4},{"info":"number node, value=1789","layer":4},{"info":"compute binary expreesion, left_input=4172, right_input=1789, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1395","layer":4},{"info":"compute unary expreesion, input=1395, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1946025","layer":3},{"info":"number node, value=1623","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=2028, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1946025, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉(⫛⫱⨽(∃⊬104C∑⇟⊟∃⊬6FD)))⪒(⊄⩳↩(⫓⪴∃⊬573)↬(∃⊬657≭∃⊬7EC))=NaN","reverse_text":"NaN=(≉(⫛⫱⨽(∃⊬104C∑⇟⊟∃⊬6FD)))⪒(⊄⩳↩(⫓⪴∃⊬573)↬(∃⊬657≭∃⊬7EC))","cot":[{"info":"∃⊬104C∑⇟⊟∃⊬6FD=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⫓⪴∃⊬573=∃⊬1DB1A9","layer":3},{"info":"∃⊬657≭∃⊬7EC=NaN","layer":3},{"info":"∃⊬1DB1A9↬NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":189,"expression_no_base_symbol":"($2964$⨸⪁$2901$)⪢($4333$⫡⨏$1618$)≧⫂∧(-$1050$↺$3208$)⨳⩥⨓(↽≂($2006$↙$2918$))≎⊠⪸((⨵≀≌$2056$)⪨≂$3955$⪛$1575$)","expression":"(∃⊬B94⨸⪁∃⊬B55)⪢(∃⊬10ED⫡⨏∃⊬652)≧⫂∧(-∃⊬41A↺∃⊬C88)⨳⩥⨓(↽≂(∃⊬7D6↙∃⊬B66))≎⊠⪸((⨵≀≌∃⊬808)⪨≂∃⊬F73⪛∃⊬627)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":28650,"operation_count":13,"complexity_ratio":2203.846153846154,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2964,"base":16},"right_expr":{"type":"numeric_atoms","value":2901,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4333,"base":16},"right_expr":{"type":"numeric_atoms","value":1618,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":3208,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2006,"base":16},"right_expr":{"type":"numeric_atoms","value":2918,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2056,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3955,"base":16},"right_expr":{"type":"numeric_atoms","value":1575,"base":16}}}}},"used_operators":["nCS4ZIUYfx","Ph9nP6C5qx","dWAJyo7jo9","g55IO6H4Gj","QMFrweE19q","t8gj7n24qd","7j4O788W3g","bJkvcejdHO","u6S6b8DprG","yyfyN0ffXY","sdazOOVcIp","srAu1WTS94","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=2901, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11730","layer":3},{"info":"number node, value=4333","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=4333, right_input=1618, 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=25684","layer":3},{"info":"compute binary expreesion, left_input=11730, right_input=25684, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=3208","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=3208, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3208","layer":3},{"info":"compute unary expreesion, input=3208, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3208","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3208, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=2006","layer":4},{"info":"number node, value=2918","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=2918, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8754","layer":3},{"info":"compute unary expreesion, input=-8754, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=17508","layer":2},{"info":"number node, value=2056","layer":4},{"info":"compute unary expreesion, input=2056, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-6168","layer":3},{"info":"number node, value=3955","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=3955, right_input=1575, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=805","layer":3},{"info":"compute binary expreesion, left_input=-6168, right_input=805, 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=-13844","layer":2},{"info":"compute binary expreesion, left_input=17508, right_input=-13844, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B94⨸⪁∃⊬B55)⪢(∃⊬10ED⫡⨏∃⊬652)≧⫂∧(-∃⊬41A↺∃⊬C88)⨳⩥⨓(↽≂(∃⊬7D6↙∃⊬B66))≎⊠⪸((⨵≀≌∃⊬808)⪨≂∃⊬F73⪛∃⊬627)=NaN","reverse_text":"NaN=(∃⊬B94⨸⪁∃⊬B55)⪢(∃⊬10ED⫡⨏∃⊬652)≧⫂∧(-∃⊬41A↺∃⊬C88)⨳⩥⨓(↽≂(∃⊬7D6↙∃⊬B66))≎⊠⪸((⨵≀≌∃⊬808)⪨≂∃⊬F73⪛∃⊬627)","cot":[{"info":"∃⊬B94⨸⪁∃⊬B55=∃⊬2DD2","layer":3},{"info":"∃⊬10ED⫡⨏∃⊬652=∃⊬6454","layer":3},{"info":"∃⊬2DD2⪢∃⊬6454=NaN","layer":2},{"info":"∃⊬41A↺∃⊬C88=∃⊬C88","layer":3},{"info":"-∃⊬C88=∃⊬-C88","layer":2},{"info":"NaN≧⫂∧∃⊬-C88=NaN","layer":1},{"info":"∃⊬7D6↙∃⊬B66=∃⊬-2232","layer":3},{"info":"↽≂∃⊬-2232=∃⊬4464","layer":2},{"info":"⨵≀≌∃⊬808=∃⊬-1818","layer":3},{"info":"∃⊬F73⪛∃⊬627=∃⊬325","layer":3},{"info":"∃⊬-1818⪨≂∃⊬325=∃⊬-3614","layer":2},{"info":"∃⊬4464≎⊠⪸∃⊬-3614=∃⊬43","layer":1},{"info":"NaN⨳⩥⨓∃⊬43=NaN","layer":0}]}
{"id":190,"expression_no_base_symbol":"(⋗⩬⋾(≤/$2876$)⨓($3194$↪⪝))⩠","expression":"(⋗⩬⋾(≤/∃⊬B3C)⨓(∃⊬C7A↪⪝))⩠","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":729,"operation_count":5,"complexity_ratio":145.8,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2876,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3194,"base":16}}}}},"used_operators":["sJAwomhLZr","DpFCA1CohY","3ViojmjbAp","eLAdDNolq6","l07mrZUIn9"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":4},{"info":"compute unary expreesion, input=2876, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2392","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=195415308","layer":3},{"info":"compute binary expreesion, left_input=-2392, right_input=195415308, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"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":"(⋗⩬⋾(≤/∃⊬B3C)⨓(∃⊬C7A↪⪝))⩠=NaN","reverse_text":"NaN=(⋗⩬⋾(≤/∃⊬B3C)⨓(∃⊬C7A↪⪝))⩠","cot":[{"info":"≤/∃⊬B3C=∃⊬-958","layer":3},{"info":"∃⊬C7A↪⪝=∃⊬BA5CD0C","layer":3},{"info":"∃⊬-958⨓∃⊬BA5CD0C=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":191,"expression_no_base_symbol":"(($3547$⪮%⊝$1931$↪⪝)⪒$2095$⨟⋌⩍$1816$⪄(+⊝⨔$2311$))⪘⫢(($4271$⩚⊴⇥$8173$≭($2146$⫡⨏$8041$))⇋≉)","expression":"((∃⊬DDB⪮%⊝∃⊬78B↪⪝)⪒∃⊬82F⨟⋌⩍∃⊬718⪄(+⊝⨔∃⊬907))⪘⫢((∃⊬10AF⩚⊴⇥∃⊬1FED≭(∃⊬862⫡⨏∃⊬1F69))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":798,"operation_count":11,"complexity_ratio":72.54545454545455,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3547,"base":16},"right_expr":{"type":"numeric_atoms","value":1931,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2095,"base":16},"right_expr":{"type":"numeric_atoms","value":1816,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2311,"base":16}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4271,"base":16},"right_expr":{"type":"numeric_atoms","value":8173,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2146,"base":16},"right_expr":{"type":"numeric_atoms","value":8041,"base":16}}}}},"used_operators":["oacrs7FA3X","f6k1SAg4EE","l07mrZUIn9","IWmyXbctLI","SUmda5xLS4","rGHVDoGpnC","DhbWaqg5eL","XIabStNQrY","rxpJgHHUmx","NTOWxs364D","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3547","layer":4},{"info":"number node, value=1931","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=1931, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7410","layer":3},{"info":"compute unary expreesion, input=7410, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=453358620","layer":2},{"info":"number node, value=2095","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=2095, right_input=1816, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2311","layer":4},{"info":"compute unary expreesion, input=2311, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=453358620, right_input=3979, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-453362599","layer":1},{"info":"number node, value=4271","layer":4},{"info":"number node, value=8173","layer":4},{"info":"compute binary expreesion, left_input=4271, right_input=8173, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12565","layer":3},{"info":"number node, value=2146","layer":4},{"info":"number node, value=8041","layer":4},{"info":"compute binary expreesion, left_input=2146, right_input=8041, 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=27595","layer":3},{"info":"compute binary expreesion, left_input=-12565, right_input=27595, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-453362599, 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":"((∃⊬DDB⪮%⊝∃⊬78B↪⪝)⪒∃⊬82F⨟⋌⩍∃⊬718⪄(+⊝⨔∃⊬907))⪘⫢((∃⊬10AF⩚⊴⇥∃⊬1FED≭(∃⊬862⫡⨏∃⊬1F69))⇋≉)=NaN","reverse_text":"NaN=((∃⊬DDB⪮%⊝∃⊬78B↪⪝)⪒∃⊬82F⨟⋌⩍∃⊬718⪄(+⊝⨔∃⊬907))⪘⫢((∃⊬10AF⩚⊴⇥∃⊬1FED≭(∃⊬862⫡⨏∃⊬1F69))⇋≉)","cot":[{"info":"∃⊬DDB⪮%⊝∃⊬78B=∃⊬1CF2","layer":3},{"info":"∃⊬1CF2↪⪝=∃⊬1B05B41C","layer":2},{"info":"∃⊬82F⨟⋌⩍∃⊬718=NaN","layer":3},{"info":"+⊝⨔∃⊬907=∃⊬5F2","layer":3},{"info":"NaN⪄∃⊬5F2=∃⊬F8B","layer":2},{"info":"∃⊬1B05B41C⪒∃⊬F8B=∃⊬-1B05C3A7","layer":1},{"info":"∃⊬10AF⩚⊴⇥∃⊬1FED=∃⊬-3115","layer":3},{"info":"∃⊬862⫡⨏∃⊬1F69=∃⊬6BCB","layer":3},{"info":"∃⊬-3115≭∃⊬6BCB=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"∃⊬-1B05C3A7⪘⫢NaN=NaN","layer":0}]}
{"id":192,"expression_no_base_symbol":"↯⪼((($1783$⊠≄⫣)⪒$4383$⋳⪒$8946$)⩷∴(⫛⫱⨽($2034$⨓$1916$)))","expression":"↯⪼(((∃⊬6F7⊠≄⫣)⪒∃⊬111F⋳⪒∃⊬22F2)⩷∴(⫛⫱⨽(∃⊬7F2⨓∃⊬77C)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3394,"operation_count":7,"complexity_ratio":484.85714285714283,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1783,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4383,"base":16},"right_expr":{"type":"numeric_atoms","value":8946,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2034,"base":16},"right_expr":{"type":"numeric_atoms","value":1916,"base":16}}}}},"used_operators":["8jW3W4yZS5","9FxExcQeMw","f6k1SAg4EE","DIvbN7qnHd","12rbrZMWeM","DlLNRPXxWL","3ViojmjbAp"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4383","layer":4},{"info":"number node, value=8946","layer":4},{"info":"compute binary expreesion, left_input=4383, right_input=8946, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-467","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-467, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=467","layer":2},{"info":"number node, value=2034","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=2034, right_input=1916, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1919","layer":3},{"info":"compute unary expreesion, input=-1919, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=467, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=902","layer":1},{"info":"compute unary expreesion, input=902, 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":"↯⪼(((∃⊬6F7⊠≄⫣)⪒∃⊬111F⋳⪒∃⊬22F2)⩷∴(⫛⫱⨽(∃⊬7F2⨓∃⊬77C)))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(((∃⊬6F7⊠≄⫣)⪒∃⊬111F⋳⪒∃⊬22F2)⩷∴(⫛⫱⨽(∃⊬7F2⨓∃⊬77C)))","cot":[{"info":"∃⊬6F7⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬111F⋳⪒∃⊬22F2=∃⊬-1D3","layer":3},{"info":"∃⊬0⪒∃⊬-1D3=∃⊬1D3","layer":2},{"info":"∃⊬7F2⨓∃⊬77C=∃⊬-77F","layer":3},{"info":"⫛⫱⨽∃⊬-77F=∃⊬0","layer":2},{"info":"∃⊬1D3⩷∴∃⊬0=∃⊬386","layer":1},{"info":"↯⪼∃⊬386=∃⊬-15","layer":0}]}
{"id":193,"expression_no_base_symbol":"(↣≠⋷($4114$+⇶⊼$4462$))≭(-$3763$≎⊠⪸$2062$)≣⋋","expression":"(↣≠⋷(∃⊬1012+⇶⊼∃⊬116E))≭(-∃⊬EB3≎⊠⪸∃⊬80E)≣⋋","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":280,"operation_count":6,"complexity_ratio":46.666666666666664,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4114,"base":16},"right_expr":{"type":"numeric_atoms","value":4462,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3763,"base":16},"right_expr":{"type":"numeric_atoms","value":2062,"base":16}}}}},"used_operators":["Tcnh7f0tEr","rxpJgHHUmx","Asc51vEJeQ","TpPTUOHfaN","t8gj7n24qd","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4114","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=4114, right_input=4462, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=3763","layer":4},{"info":"number node, value=2062","layer":4},{"info":"compute binary expreesion, left_input=3763, right_input=2062, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=974144","layer":3},{"info":"compute unary expreesion, input=974144, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-974144","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-974144, 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 = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷(∃⊬1012+⇶⊼∃⊬116E))≭(-∃⊬EB3≎⊠⪸∃⊬80E)≣⋋=NaN","reverse_text":"NaN=(↣≠⋷(∃⊬1012+⇶⊼∃⊬116E))≭(-∃⊬EB3≎⊠⪸∃⊬80E)≣⋋","cot":[{"info":"∃⊬1012+⇶⊼∃⊬116E=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"∃⊬EB3≎⊠⪸∃⊬80E=∃⊬EDD40","layer":3},{"info":"-∃⊬EDD40=∃⊬-EDD40","layer":2},{"info":"NaN≭∃⊬-EDD40=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":194,"expression_no_base_symbol":"⋗⩬⋾(($1925$⊦⊿)⪛($1418$⫡⨏$1088$)↺(↯⪼($6553$≧⫂∧$1078$)))","expression":"⋗⩬⋾((∃⊬785⊦⊿)⪛(∃⊬58A⫡⨏∃⊬440)↺(↯⪼(∃⊬1999≧⫂∧∃⊬436)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":54,"operation_count":7,"complexity_ratio":7.714285714285714,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1925,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1418,"base":16},"right_expr":{"type":"numeric_atoms","value":1088,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":6553,"base":16},"right_expr":{"type":"numeric_atoms","value":1078,"base":16}}}}},"used_operators":["DpFCA1CohY","7j4O788W3g","uFcxV4UQCh","14qkJME0vr","QMFrweE19q","8jW3W4yZS5","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬3F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5854","layer":3},{"info":"number node, value=1418","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1418, right_input=1088, 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=10049","layer":3},{"info":"compute binary expreesion, left_input=-5854, right_input=10049, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4195","layer":2},{"info":"number node, value=6553","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=6553, right_input=1078, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=605","layer":3},{"info":"compute unary expreesion, input=605, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=4195, 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":1},{"info":"compute unary expreesion, input=-21, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=63","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾((∃⊬785⊦⊿)⪛(∃⊬58A⫡⨏∃⊬440)↺(↯⪼(∃⊬1999≧⫂∧∃⊬436)))=∃⊬3F","reverse_text":"∃⊬3F=⋗⩬⋾((∃⊬785⊦⊿)⪛(∃⊬58A⫡⨏∃⊬440)↺(↯⪼(∃⊬1999≧⫂∧∃⊬436)))","cot":[{"info":"∃⊬785⊦⊿=∃⊬-16DE","layer":3},{"info":"∃⊬58A⫡⨏∃⊬440=∃⊬2741","layer":3},{"info":"∃⊬-16DE⪛∃⊬2741=∃⊬1063","layer":2},{"info":"∃⊬1999≧⫂∧∃⊬436=∃⊬25D","layer":3},{"info":"↯⪼∃⊬25D=∃⊬-15","layer":2},{"info":"∃⊬1063↺∃⊬-15=∃⊬-15","layer":1},{"info":"⋗⩬⋾∃⊬-15=∃⊬3F","layer":0}]}
{"id":195,"expression_no_base_symbol":"⊥(⇁⨣⪵($3389$*$3615$)⇷($7001$↺$2276$))","expression":"⊥(⇁⨣⪵(∃⊬D3D*∃⊬E1F)⇷(∃⊬1B59↺∃⊬8E4))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3400,"operation_count":5,"complexity_ratio":680.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3389,"base":16},"right_expr":{"type":"numeric_atoms","value":3615,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7001,"base":16},"right_expr":{"type":"numeric_atoms","value":2276,"base":16}}}}},"used_operators":["Q3PJZHRvZv","inkyxCbjAn","mp7IySMOzn","9HNa5Wba9A","7j4O788W3g"],"dependent_operators":["fu6greOZ01","B5M0gjZbta","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3389","layer":4},{"info":"number node, value=3615","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=3615, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12251235","layer":3},{"info":"number node, value=7001","layer":4},{"info":"number node, value=2276","layer":4},{"info":"compute binary expreesion, left_input=7001, right_input=2276, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2276","layer":3},{"info":"compute binary expreesion, left_input=12251235, right_input=2276, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4552","layer":2},{"info":"compute unary expreesion, input=4552, op_id = inkyxCbjAn, 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":"⊥(⇁⨣⪵(∃⊬D3D*∃⊬E1F)⇷(∃⊬1B59↺∃⊬8E4))=NaN","reverse_text":"NaN=⊥(⇁⨣⪵(∃⊬D3D*∃⊬E1F)⇷(∃⊬1B59↺∃⊬8E4))","cot":[{"info":"∃⊬D3D*∃⊬E1F=∃⊬BAF063","layer":3},{"info":"∃⊬1B59↺∃⊬8E4=∃⊬8E4","layer":3},{"info":"∃⊬BAF063⇷∃⊬8E4=∃⊬11C8","layer":2},{"info":"⇁⨣⪵∃⊬11C8=NaN","layer":1},{"info":"⊥NaN=NaN","layer":0}]}
{"id":196,"expression_no_base_symbol":"(($2688$⨳⩥⨓$4181$)⪛($3891$≎⊠⪸$1040$)↬(∥⊫(⩦⩻⨪$8085$)))⨟⋌⩍((∥⊫(↩$3812$))⨰(∂$2985$≹⇙⪍$4014$))","expression":"((∃⊬A80⨳⩥⨓∃⊬1055)⪛(∃⊬F33≎⊠⪸∃⊬410)↬(∥⊫(⩦⩻⨪∃⊬1F95)))⨟⋌⩍((∥⊫(↩∃⊬EE4))⨰(∂∃⊬BA9≹⇙⪍∃⊬FAE))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":313,"operation_count":12,"complexity_ratio":26.083333333333332,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2688,"base":16},"right_expr":{"type":"numeric_atoms","value":4181,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3891,"base":16},"right_expr":{"type":"numeric_atoms","value":1040,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8085,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3812,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2985,"base":16},"right_expr":{"type":"numeric_atoms","value":4014,"base":16}}}}},"used_operators":["rGHVDoGpnC","B5M0gjZbta","uFcxV4UQCh","nCS4ZIUYfx","bJkvcejdHO","P8v4zCKN1o","2td37pGCOC","eewbuw0ToL","jLgFTUHLKL","Uaa54Peajs","AHs5Up7iyr"],"dependent_operators":["Tcnh7f0tEr","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2688","layer":4},{"info":"number node, value=4181","layer":4},{"info":"compute binary expreesion, left_input=2688, right_input=4181, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1493","layer":3},{"info":"number node, value=3891","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=3891, right_input=1040, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1007296","layer":3},{"info":"compute binary expreesion, left_input=1493, right_input=1007296, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1493","layer":2},{"info":"number node, value=8085","layer":4},{"info":"compute unary expreesion, input=8085, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8085","layer":3},{"info":"compute unary expreesion, input=8085, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8953","layer":2},{"info":"compute binary expreesion, left_input=1493, right_input=8953, 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=3812","layer":4},{"info":"compute unary expreesion, input=3812, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27716","layer":3},{"info":"compute unary expreesion, input=-27716, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=2985","layer":4},{"info":"number node, value=4014","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=4014, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬A80⨳⩥⨓∃⊬1055)⪛(∃⊬F33≎⊠⪸∃⊬410)↬(∥⊫(⩦⩻⨪∃⊬1F95)))⨟⋌⩍((∥⊫(↩∃⊬EE4))⨰(∂∃⊬BA9≹⇙⪍∃⊬FAE))=NaN","reverse_text":"NaN=((∃⊬A80⨳⩥⨓∃⊬1055)⪛(∃⊬F33≎⊠⪸∃⊬410)↬(∥⊫(⩦⩻⨪∃⊬1F95)))⨟⋌⩍((∥⊫(↩∃⊬EE4))⨰(∂∃⊬BA9≹⇙⪍∃⊬FAE))","cot":[{"info":"∃⊬A80⨳⩥⨓∃⊬1055=∃⊬5D5","layer":3},{"info":"∃⊬F33≎⊠⪸∃⊬410=∃⊬F5EC0","layer":3},{"info":"∃⊬5D5⪛∃⊬F5EC0=∃⊬5D5","layer":2},{"info":"⩦⩻⨪∃⊬1F95=∃⊬1F95","layer":3},{"info":"∥⊫∃⊬1F95=∃⊬22F9","layer":2},{"info":"∃⊬5D5↬∃⊬22F9=NaN","layer":1},{"info":"↩∃⊬EE4=∃⊬-6C44","layer":3},{"info":"∥⊫∃⊬-6C44=∃⊬-37","layer":2},{"info":"∃⊬BA9≹⇙⪍∃⊬FAE=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"∃⊬-37⨰NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":197,"expression_no_base_symbol":"(((⋗⩬⋾$2672$)%$4954$*$4767$)⨪↰⇹($1118$∑⇟⊟$6697$⫥∨⫟$1262$⪛$1204$))∀⇚≩(⪝⪂⫅(⨑⩽⪐(⫓⪴$2560$)))","expression":"(((⋗⩬⋾∃⊬A70)%∃⊬135A*∃⊬129F)⨪↰⇹(∃⊬45E∑⇟⊟∃⊬1A29⫥∨⫟∃⊬4EE⪛∃⊬4B4))∀⇚≩(⪝⪂⫅(⨑⩽⪐(⫓⪴∃⊬A00)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7646,"operation_count":11,"complexity_ratio":695.0909090909091,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2672,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4954,"base":16},"right_expr":{"type":"numeric_atoms","value":4767,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1118,"base":16},"right_expr":{"type":"numeric_atoms","value":6697,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1262,"base":16},"right_expr":{"type":"numeric_atoms","value":1204,"base":16}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2560,"base":16}}}}},"used_operators":["LRNGc0VcxI","tmPS8pqC7x","k8jYdgA6NY","DpFCA1CohY","9HNa5Wba9A","KYD54nUTWz","U7g4x0WXJJ","uFcxV4UQCh","XTarYq4gQB","AF7qkfDlqP","eLxqMNBOBk"],"dependent_operators":["X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-8016","layer":3},{"info":"number node, value=4954","layer":4},{"info":"number node, value=4767","layer":4},{"info":"compute binary expreesion, left_input=4954, right_input=4767, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23615718","layer":3},{"info":"compute binary expreesion, left_input=-8016, right_input=23615718, op_id = k8jYdgA6NY binary_op_definition= 'None', output=23607702","layer":2},{"info":"number node, value=1118","layer":4},{"info":"number node, value=6697","layer":4},{"info":"compute binary expreesion, left_input=1118, right_input=6697, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=1204","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=1204, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=58","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=58, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23607702, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2560","layer":4},{"info":"compute unary expreesion, input=2560, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6553600","layer":3},{"info":"compute unary expreesion, input=6553600, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6553327","layer":2},{"info":"compute unary expreesion, input=-6553327, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=963339069","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=963339069, 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":"(((⋗⩬⋾∃⊬A70)%∃⊬135A*∃⊬129F)⨪↰⇹(∃⊬45E∑⇟⊟∃⊬1A29⫥∨⫟∃⊬4EE⪛∃⊬4B4))∀⇚≩(⪝⪂⫅(⨑⩽⪐(⫓⪴∃⊬A00)))=NaN","reverse_text":"NaN=(((⋗⩬⋾∃⊬A70)%∃⊬135A*∃⊬129F)⨪↰⇹(∃⊬45E∑⇟⊟∃⊬1A29⫥∨⫟∃⊬4EE⪛∃⊬4B4))∀⇚≩(⪝⪂⫅(⨑⩽⪐(⫓⪴∃⊬A00)))","cot":[{"info":"⋗⩬⋾∃⊬A70=∃⊬-1F50","layer":3},{"info":"∃⊬135A*∃⊬129F=∃⊬16858E6","layer":3},{"info":"∃⊬-1F50%∃⊬16858E6=∃⊬1683996","layer":2},{"info":"∃⊬45E∑⇟⊟∃⊬1A29=NaN","layer":3},{"info":"∃⊬4EE⪛∃⊬4B4=∃⊬3A","layer":3},{"info":"NaN⫥∨⫟∃⊬3A=NaN","layer":2},{"info":"∃⊬1683996⨪↰⇹NaN=NaN","layer":1},{"info":"⫓⪴∃⊬A00=∃⊬640000","layer":3},{"info":"⨑⩽⪐∃⊬640000=∃⊬-63FEEF","layer":2},{"info":"⪝⪂⫅∃⊬-63FEEF=∃⊬396B633D","layer":1},{"info":"NaN∀⇚≩∃⊬396B633D=NaN","layer":0}]}
{"id":198,"expression_no_base_symbol":"(($1292$⊪)↬(⨞⊢$1113$)⋷(∂($2213$⇼⇔∾$5808$)))⨳⩥⨓($4875$⪄$4377$⩨($2509$+$1981$))⨪↰⇹($4305$⊴$3067$⫩⊇)","expression":"((∃⊬50C⊪)↬(⨞⊢∃⊬459)⋷(∂(∃⊬8A5⇼⇔∾∃⊬16B0)))⨳⩥⨓(∃⊬130B⪄∃⊬1119⩨(∃⊬9CD+∃⊬7BD))⨪↰⇹(∃⊬10D1⊴∃⊬BFB⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3294,"operation_count":13,"complexity_ratio":253.3846153846154,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1292,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1113,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2213,"base":16},"right_expr":{"type":"numeric_atoms","value":5808,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4875,"base":16},"right_expr":{"type":"numeric_atoms","value":4377,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2509,"base":16},"right_expr":{"type":"numeric_atoms","value":1981,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4305,"base":16},"right_expr":{"type":"numeric_atoms","value":3067,"base":16}}}}},"used_operators":["nCS4ZIUYfx","23Mk6UjR3U","B5M0gjZbta","zVYPLywUTj","xUOZtlo3hN","Uaa54Peajs","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","SUmda5xLS4","W4YGzv6Whe","BjRHVeLaeN","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬-A0B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1292","layer":4},{"info":"compute unary expreesion, input=1292, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1113","layer":4},{"info":"compute unary expreesion, input=1113, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1287","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1287, 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=-1287","layer":2},{"info":"number node, value=2213","layer":4},{"info":"number node, value=5808","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=5808, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3595","layer":3},{"info":"compute unary expreesion, input=3595, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1287, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2574","layer":1},{"info":"number node, value=4875","layer":4},{"info":"number node, value=4377","layer":4},{"info":"compute binary expreesion, left_input=4875, right_input=4377, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-735097","layer":3},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1981","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1981, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4490","layer":3},{"info":"compute binary expreesion, left_input=-735097, right_input=4490, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=4305","layer":4},{"info":"number node, value=3067","layer":4},{"info":"compute binary expreesion, left_input=4305, right_input=3067, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3, 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=3","layer":1},{"info":"compute binary expreesion, left_input=2574, right_input=3, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2571","layer":0}],"base":16,"result_base":16,"text":"((∃⊬50C⊪)↬(⨞⊢∃⊬459)⋷(∂(∃⊬8A5⇼⇔∾∃⊬16B0)))⨳⩥⨓(∃⊬130B⪄∃⊬1119⩨(∃⊬9CD+∃⊬7BD))⨪↰⇹(∃⊬10D1⊴∃⊬BFB⫩⊇)=∃⊬-A0B","reverse_text":"∃⊬-A0B=((∃⊬50C⊪)↬(⨞⊢∃⊬459)⋷(∂(∃⊬8A5⇼⇔∾∃⊬16B0)))⨳⩥⨓(∃⊬130B⪄∃⊬1119⩨(∃⊬9CD+∃⊬7BD))⨪↰⇹(∃⊬10D1⊴∃⊬BFB⫩⊇)","cot":[{"info":"∃⊬50C⊪=∃⊬0","layer":3},{"info":"⨞⊢∃⊬459=∃⊬-507","layer":3},{"info":"∃⊬0↬∃⊬-507=∃⊬-507","layer":2},{"info":"∃⊬8A5⇼⇔∾∃⊬16B0=∃⊬E0B","layer":3},{"info":"∂∃⊬E0B=NaN","layer":2},{"info":"∃⊬-507⋷NaN=∃⊬A0E","layer":1},{"info":"∃⊬130B⪄∃⊬1119=∃⊬-B3779","layer":3},{"info":"∃⊬9CD+∃⊬7BD=∃⊬118A","layer":3},{"info":"∃⊬-B3779⩨∃⊬118A=∃⊬3","layer":2},{"info":"∃⊬10D1⊴∃⊬BFB=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"∃⊬3⨪↰⇹NaN=∃⊬3","layer":1},{"info":"∃⊬A0E⨳⩥⨓∃⊬3=∃⊬-A0B","layer":0}]}
{"id":199,"expression_no_base_symbol":"($1007$⨳⩥⨓$8353$⩨($4627$⪒$1927$))⨰(⨈⫕(⪝⪂⫅$1960$))⋝⋈⪟($1243$≧⫂∧$1045$∲⫓($2134$⫡⨏$3976$))⨟⋌⩍($7503$≹⇙⪍$4199$⫡⨏$1593$⨳⩥⨓$1968$)","expression":"(∃⊬3EF⨳⩥⨓∃⊬20A1⩨(∃⊬1213⪒∃⊬787))⨰(⨈⫕(⪝⪂⫅∃⊬7A8))⋝⋈⪟(∃⊬4DB≧⫂∧∃⊬415∲⫓(∃⊬856⫡⨏∃⊬F88))⨟⋌⩍(∃⊬1D4F≹⇙⪍∃⊬1067⫡⨏∃⊬639⨳⩥⨓∃⊬7B0)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":577,"operation_count":14,"complexity_ratio":41.214285714285715,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":8353,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4627,"base":16},"right_expr":{"type":"numeric_atoms","value":1927,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1960,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1243,"base":16},"right_expr":{"type":"numeric_atoms","value":1045,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2134,"base":16},"right_expr":{"type":"numeric_atoms","value":3976,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":7503,"base":16},"right_expr":{"type":"numeric_atoms","value":4199,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1593,"base":16},"right_expr":{"type":"numeric_atoms","value":1968,"base":16}}}}},"used_operators":["2DDjHMKMc0","eewbuw0ToL","2DlMacCsIx","nCS4ZIUYfx","f6k1SAg4EE","megm06wKyl","XTarYq4gQB","rGHVDoGpnC","i8ToyICDmI","Ph9nP6C5qx","QMFrweE19q","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=8353","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=8353, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7346","layer":3},{"info":"number node, value=4627","layer":4},{"info":"number node, value=1927","layer":4},{"info":"compute binary expreesion, left_input=4627, right_input=1927, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6554","layer":3},{"info":"compute binary expreesion, left_input=7346, right_input=-6554, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"number node, value=1960","layer":4},{"info":"compute unary expreesion, input=1960, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-288120","layer":3},{"info":"compute unary expreesion, input=-288120, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=3, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=34","layer":1},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1045, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=572","layer":3},{"info":"number node, value=2134","layer":4},{"info":"number node, value=3976","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=3976, 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=19405","layer":3},{"info":"compute binary expreesion, left_input=572, right_input=19405, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=7503","layer":4},{"info":"number node, value=4199","layer":4},{"info":"compute binary expreesion, left_input=7503, right_input=4199, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=1968","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=1968, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=375","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=375, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=34, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬3EF⨳⩥⨓∃⊬20A1⩨(∃⊬1213⪒∃⊬787))⨰(⨈⫕(⪝⪂⫅∃⊬7A8))⋝⋈⪟(∃⊬4DB≧⫂∧∃⊬415∲⫓(∃⊬856⫡⨏∃⊬F88))⨟⋌⩍(∃⊬1D4F≹⇙⪍∃⊬1067⫡⨏∃⊬639⨳⩥⨓∃⊬7B0)=NaN","reverse_text":"NaN=(∃⊬3EF⨳⩥⨓∃⊬20A1⩨(∃⊬1213⪒∃⊬787))⨰(⨈⫕(⪝⪂⫅∃⊬7A8))⋝⋈⪟(∃⊬4DB≧⫂∧∃⊬415∲⫓(∃⊬856⫡⨏∃⊬F88))⨟⋌⩍(∃⊬1D4F≹⇙⪍∃⊬1067⫡⨏∃⊬639⨳⩥⨓∃⊬7B0)","cot":[{"info":"∃⊬3EF⨳⩥⨓∃⊬20A1=∃⊬1CB2","layer":3},{"info":"∃⊬1213⪒∃⊬787=∃⊬-199A","layer":3},{"info":"∃⊬1CB2⩨∃⊬-199A=∃⊬3","layer":2},{"info":"⪝⪂⫅∃⊬7A8=∃⊬-46578","layer":3},{"info":"⨈⫕∃⊬-46578=∃⊬-15","layer":2},{"info":"∃⊬3⨰∃⊬-15=∃⊬22","layer":1},{"info":"∃⊬4DB≧⫂∧∃⊬415=∃⊬23C","layer":3},{"info":"∃⊬856⫡⨏∃⊬F88=∃⊬4BCD","layer":3},{"info":"∃⊬23C∲⫓∃⊬4BCD=∃⊬0","layer":2},{"info":"∃⊬1D4F≹⇙⪍∃⊬1067=NaN","layer":3},{"info":"∃⊬639⨳⩥⨓∃⊬7B0=∃⊬177","layer":3},{"info":"NaN⫡⨏∃⊬177=NaN","layer":2},{"info":"∃⊬0⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬22⋝⋈⪟NaN=NaN","layer":0}]}
{"id":200,"expression_no_base_symbol":"(∥⊫((⨞⊢$1406$)⊘))∑⇟⊟(($1203$⫸⊐$5898$⊭↱$5547$∼$1010$)⩚⊴⇥(≤/$1012$⊴$2600$))","expression":"(∥⊫((⨞⊢∃⊬57E)⊘))∑⇟⊟((∃⊬4B3⫸⊐∃⊬170A⊭↱∃⊬15AB∼∃⊬3F2)⩚⊴⇥(≤/∃⊬3F4⊴∃⊬A28))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2778,"operation_count":10,"complexity_ratio":277.8,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1406,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1203,"base":16},"right_expr":{"type":"numeric_atoms","value":5898,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5547,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1012,"base":16},"right_expr":{"type":"numeric_atoms","value":2600,"base":16}}}}},"used_operators":["U7g4x0WXJJ","P8v4zCKN1o","gu96TGCTMs","xUOZtlo3hN","NTOWxs364D","COABgblf1C","mqXw5SEYmG","DyGG3AbaNP","eLAdDNolq6","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1406","layer":4},{"info":"compute unary expreesion, input=1406, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1580","layer":3},{"info":"compute unary expreesion, input=-1580, 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":2},{"info":"compute unary expreesion, input=-1, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=867","layer":1},{"info":"number node, value=1203","layer":4},{"info":"number node, value=5898","layer":4},{"info":"compute binary expreesion, left_input=1203, right_input=5898, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23467","layer":3},{"info":"number node, value=5547","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=5547, right_input=1010, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=23467, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1012","layer":4},{"info":"number node, value=2600","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2600, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=867, 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":"(∥⊫((⨞⊢∃⊬57E)⊘))∑⇟⊟((∃⊬4B3⫸⊐∃⊬170A⊭↱∃⊬15AB∼∃⊬3F2)⩚⊴⇥(≤/∃⊬3F4⊴∃⊬A28))=NaN","reverse_text":"NaN=(∥⊫((⨞⊢∃⊬57E)⊘))∑⇟⊟((∃⊬4B3⫸⊐∃⊬170A⊭↱∃⊬15AB∼∃⊬3F2)⩚⊴⇥(≤/∃⊬3F4⊴∃⊬A28))","cot":[{"info":"⨞⊢∃⊬57E=∃⊬-62C","layer":3},{"info":"∃⊬-62C⊘=∃⊬-1","layer":2},{"info":"∥⊫∃⊬-1=∃⊬363","layer":1},{"info":"∃⊬4B3⫸⊐∃⊬170A=∃⊬5BAB","layer":3},{"info":"∃⊬15AB∼∃⊬3F2=NaN","layer":3},{"info":"∃⊬5BAB⊭↱NaN=NaN","layer":2},{"info":"∃⊬3F4⊴∃⊬A28=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"∃⊬363∑⇟⊟NaN=NaN","layer":0}]}
{"id":201,"expression_no_base_symbol":"(($2931$⊉≛↸$1028$)⫥∨⫟($1069$⩨$3240$)⨐⩸⫘($1002$⩚⊴⇥$2750$*($6821$⪠⩆⊳)))⩤","expression":"((∃⊬B73⊉≛↸∃⊬404)⫥∨⫟(∃⊬42D⩨∃⊬CA8)⨐⩸⫘(∃⊬3EA⩚⊴⇥∃⊬ABE*(∃⊬1AA5⪠⩆⊳)))⩤","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":174,"operation_count":8,"complexity_ratio":21.75,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2931,"base":16},"right_expr":{"type":"numeric_atoms","value":1028,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1069,"base":16},"right_expr":{"type":"numeric_atoms","value":3240,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":2750,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6821,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","fu6greOZ01","KYD54nUTWz","DZ8iAZOCBD","2DlMacCsIx","9HNa5Wba9A","NTOWxs364D","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2931","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=2931, right_input=1028, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5862","layer":3},{"info":"number node, value=1069","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=3240, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute binary expreesion, left_input=5862, right_input=-9, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2750, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3873","layer":3},{"info":"number node, value=6821","layer":4},{"info":"compute unary expreesion, input=6821, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3873, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬B73⊉≛↸∃⊬404)⫥∨⫟(∃⊬42D⩨∃⊬CA8)⨐⩸⫘(∃⊬3EA⩚⊴⇥∃⊬ABE*(∃⊬1AA5⪠⩆⊳)))⩤=NaN","reverse_text":"NaN=((∃⊬B73⊉≛↸∃⊬404)⫥∨⫟(∃⊬42D⩨∃⊬CA8)⨐⩸⫘(∃⊬3EA⩚⊴⇥∃⊬ABE*(∃⊬1AA5⪠⩆⊳)))⩤","cot":[{"info":"∃⊬B73⊉≛↸∃⊬404=∃⊬16E6","layer":3},{"info":"∃⊬42D⩨∃⊬CA8=∃⊬-9","layer":3},{"info":"∃⊬16E6⫥∨⫟∃⊬-9=NaN","layer":2},{"info":"∃⊬3EA⩚⊴⇥∃⊬ABE=∃⊬-F21","layer":3},{"info":"∃⊬1AA5⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬-F21*∃⊬0=∃⊬0","layer":2},{"info":"NaN⨐⩸⫘∃⊬0=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":202,"expression_no_base_symbol":"((⊙↵-$1427$)⨵⪆$4662$⩨$2094$)⪢(($4167$⫩⊇)⪠⩆⊳)⪐","expression":"((⊙↵-∃⊬593)⨵⪆∃⊬1236⩨∃⊬82E)⪢((∃⊬1047⫩⊇)⪠⩆⊳)⪐","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1489,"operation_count":7,"complexity_ratio":212.71428571428572,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1427,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":4662,"base":16},"right_expr":{"type":"numeric_atoms","value":2094,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4167,"base":16}}}}},"used_operators":["eH2TOUuTDT","dWAJyo7jo9","2DQ55sFlQl","oWn0xqSxBt","2DlMacCsIx","JLbD19bQDL","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=4662","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=4662, right_input=2094, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4167","layer":4},{"info":"compute unary expreesion, input=4167, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4125","layer":3},{"info":"compute unary expreesion, input=-4125, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"((⊙↵-∃⊬593)⨵⪆∃⊬1236⩨∃⊬82E)⪢((∃⊬1047⫩⊇)⪠⩆⊳)⪐=∃⊬0","reverse_text":"∃⊬0=((⊙↵-∃⊬593)⨵⪆∃⊬1236⩨∃⊬82E)⪢((∃⊬1047⫩⊇)⪠⩆⊳)⪐","cot":[{"info":"⊙↵-∃⊬593=∃⊬-1","layer":3},{"info":"∃⊬1236⩨∃⊬82E=∃⊬0","layer":3},{"info":"∃⊬-1⨵⪆∃⊬0=∃⊬A0","layer":2},{"info":"∃⊬1047⫩⊇=∃⊬-101D","layer":3},{"info":"∃⊬-101D⪠⩆⊳=∃⊬0","layer":2},{"info":"∃⊬A0⪢∃⊬0=∃⊬0","layer":1},{"info":"∃⊬0⪐=∃⊬0","layer":0}]}
{"id":203,"expression_no_base_symbol":"($1082$≧⫂∧$5369$)⪢$4952$⪮%⊝$3996$≭((≤/$1555$)/(⊙↵-$5352$))⋷(↽≂$1165$)≹⇙⪍(≤/$2631$)⨎($1121$⨸⪁$2242$)⪘⫢($2249$↺$1631$)","expression":"(∃⊬43A≧⫂∧∃⊬14F9)⪢∃⊬1358⪮%⊝∃⊬F9C≭((≤/∃⊬613)/(⊙↵-∃⊬14E8))⋷(↽≂∃⊬48D)≹⇙⪍(≤/∃⊬A47)⨎(∃⊬461⨸⪁∃⊬8C2)⪘⫢(∃⊬8C9↺∃⊬65F)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":16729,"operation_count":15,"complexity_ratio":1115.2666666666667,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1082,"base":16},"right_expr":{"type":"numeric_atoms","value":5369,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4952,"base":16},"right_expr":{"type":"numeric_atoms","value":3996,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1555,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5352,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1165,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2631,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1121,"base":16},"right_expr":{"type":"numeric_atoms","value":2242,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2249,"base":16},"right_expr":{"type":"numeric_atoms","value":1631,"base":16}}}}},"used_operators":["23Mk6UjR3U","rxpJgHHUmx","dWAJyo7jo9","Ph9nP6C5qx","IWmyXbctLI","XhwjNDsVaA","eLAdDNolq6","oWn0xqSxBt","rJVOvQCfKK","AHs5Up7iyr","u6S6b8DprG","oacrs7FA3X","g55IO6H4Gj","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1082","layer":4},{"info":"number node, value=5369","layer":4},{"info":"compute binary expreesion, left_input=1082, right_input=5369, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4896","layer":3},{"info":"number node, value=4952","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=3996, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10220","layer":3},{"info":"compute binary expreesion, left_input=4896, right_input=10220, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1555","layer":4},{"info":"compute unary expreesion, input=1555, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1071","layer":3},{"info":"number node, value=5352","layer":4},{"info":"compute unary expreesion, input=5352, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-1071, right_input=-1, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1071","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1071, 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=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2330","layer":3},{"info":"number node, value=2631","layer":4},{"info":"compute unary expreesion, input=2631, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2147","layer":3},{"info":"compute binary expreesion, left_input=-2330, right_input=-2147, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1121","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=2242, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6726","layer":3},{"info":"number node, value=2249","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=1631, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1631","layer":3},{"info":"compute binary expreesion, left_input=6726, right_input=1631, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13328","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13328, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=13328","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13328, 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":"(∃⊬43A≧⫂∧∃⊬14F9)⪢∃⊬1358⪮%⊝∃⊬F9C≭((≤/∃⊬613)/(⊙↵-∃⊬14E8))⋷(↽≂∃⊬48D)≹⇙⪍(≤/∃⊬A47)⨎(∃⊬461⨸⪁∃⊬8C2)⪘⫢(∃⊬8C9↺∃⊬65F)=NaN","reverse_text":"NaN=(∃⊬43A≧⫂∧∃⊬14F9)⪢∃⊬1358⪮%⊝∃⊬F9C≭((≤/∃⊬613)/(⊙↵-∃⊬14E8))⋷(↽≂∃⊬48D)≹⇙⪍(≤/∃⊬A47)⨎(∃⊬461⨸⪁∃⊬8C2)⪘⫢(∃⊬8C9↺∃⊬65F)","cot":[{"info":"∃⊬43A≧⫂∧∃⊬14F9=∃⊬1320","layer":3},{"info":"∃⊬1358⪮%⊝∃⊬F9C=∃⊬27EC","layer":3},{"info":"∃⊬1320⪢∃⊬27EC=NaN","layer":2},{"info":"≤/∃⊬613=∃⊬-42F","layer":3},{"info":"⊙↵-∃⊬14E8=∃⊬-1","layer":3},{"info":"∃⊬-42F/∃⊬-1=∃⊬42F","layer":2},{"info":"NaN≭∃⊬42F=NaN","layer":1},{"info":"↽≂∃⊬48D=∃⊬-91A","layer":3},{"info":"≤/∃⊬A47=∃⊬-863","layer":3},{"info":"∃⊬-91A≹⇙⪍∃⊬-863=NaN","layer":2},{"info":"∃⊬461⨸⪁∃⊬8C2=∃⊬1A46","layer":3},{"info":"∃⊬8C9↺∃⊬65F=∃⊬65F","layer":3},{"info":"∃⊬1A46⪘⫢∃⊬65F=∃⊬3410","layer":2},{"info":"NaN⨎∃⊬3410=∃⊬3410","layer":1},{"info":"NaN⋷∃⊬3410=NaN","layer":0}]}
{"id":204,"expression_no_base_symbol":"⊙↵-((⨈⫕$6280$)∼($1267$∀⇚≩$1015$)⫥∨⫟($1713$≧⫂∧$1105$⫥∨⫟($1056$⨸⪁$6051$)))","expression":"⊙↵-((⨈⫕∃⊬1888)∼(∃⊬4F3∀⇚≩∃⊬3F7)⫥∨⫟(∃⊬6B1≧⫂∧∃⊬451⫥∨⫟(∃⊬420⨸⪁∃⊬17A3)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9597,"operation_count":8,"complexity_ratio":1199.625,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6280,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1267,"base":16},"right_expr":{"type":"numeric_atoms","value":1015,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1713,"base":16},"right_expr":{"type":"numeric_atoms","value":1105,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1056,"base":16},"right_expr":{"type":"numeric_atoms","value":6051,"base":16}}}}},"used_operators":["oWn0xqSxBt","KYD54nUTWz","DyGG3AbaNP","megm06wKyl","LRNGc0VcxI","Ph9nP6C5qx","g55IO6H4Gj"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6280","layer":4},{"info":"compute unary expreesion, input=6280, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1267","layer":4},{"info":"number node, value=1015","layer":4},{"info":"compute binary expreesion, left_input=1267, right_input=1015, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1713","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=1105, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=632","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=6051","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=6051, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14214","layer":3},{"info":"compute binary expreesion, left_input=632, right_input=14214, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":"⊙↵-((⨈⫕∃⊬1888)∼(∃⊬4F3∀⇚≩∃⊬3F7)⫥∨⫟(∃⊬6B1≧⫂∧∃⊬451⫥∨⫟(∃⊬420⨸⪁∃⊬17A3)))=NaN","reverse_text":"NaN=⊙↵-((⨈⫕∃⊬1888)∼(∃⊬4F3∀⇚≩∃⊬3F7)⫥∨⫟(∃⊬6B1≧⫂∧∃⊬451⫥∨⫟(∃⊬420⨸⪁∃⊬17A3)))","cot":[{"info":"⨈⫕∃⊬1888=∃⊬-15","layer":3},{"info":"∃⊬4F3∀⇚≩∃⊬3F7=NaN","layer":3},{"info":"∃⊬-15∼NaN=NaN","layer":2},{"info":"∃⊬6B1≧⫂∧∃⊬451=∃⊬278","layer":3},{"info":"∃⊬420⨸⪁∃⊬17A3=∃⊬3786","layer":3},{"info":"∃⊬278⫥∨⫟∃⊬3786=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":205,"expression_no_base_symbol":"(⨈⫕$2250$⪘⫢$2128$⨐⩸⫘(↯⪼$7158$))⩷∴((⨞⊢$2764$)≧⫂∧$6084$↬$2628$)⪢(⪲⇎(⨰⫟⨤$2301$))","expression":"(⨈⫕∃⊬8CA⪘⫢∃⊬850⨐⩸⫘(↯⪼∃⊬1BF6))⩷∴((⨞⊢∃⊬ACC)≧⫂∧∃⊬17C4↬∃⊬A44)⪢(⪲⇎(⨰⫟⨤∃⊬8FD))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":9376,"operation_count":11,"complexity_ratio":852.3636363636364,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2250,"base":16},"right_expr":{"type":"numeric_atoms","value":2128,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":7158,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2764,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6084,"base":16},"right_expr":{"type":"numeric_atoms","value":2628,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2301,"base":16}}}}},"used_operators":["9FxExcQeMw","megm06wKyl","fu6greOZ01","oacrs7FA3X","8jW3W4yZS5","dWAJyo7jo9","Ph9nP6C5qx","xUOZtlo3hN","B5M0gjZbta","XPYlsWDdGa","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2250","layer":4},{"info":"number node, value=2128","layer":4},{"info":"compute binary expreesion, left_input=2250, right_input=2128, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4376","layer":3},{"info":"number node, value=7158","layer":4},{"info":"compute unary expreesion, input=7158, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=4376, 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":2},{"info":"compute unary expreesion, input=24, 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=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2938","layer":3},{"info":"number node, value=6084","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=6084, right_input=2628, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2938, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=2301","layer":4},{"info":"compute unary expreesion, input=2301, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-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":"(⨈⫕∃⊬8CA⪘⫢∃⊬850⨐⩸⫘(↯⪼∃⊬1BF6))⩷∴((⨞⊢∃⊬ACC)≧⫂∧∃⊬17C4↬∃⊬A44)⪢(⪲⇎(⨰⫟⨤∃⊬8FD))=NaN","reverse_text":"NaN=(⨈⫕∃⊬8CA⪘⫢∃⊬850⨐⩸⫘(↯⪼∃⊬1BF6))⩷∴((⨞⊢∃⊬ACC)≧⫂∧∃⊬17C4↬∃⊬A44)⪢(⪲⇎(⨰⫟⨤∃⊬8FD))","cot":[{"info":"∃⊬8CA⪘⫢∃⊬850=∃⊬1118","layer":3},{"info":"↯⪼∃⊬1BF6=∃⊬-15","layer":3},{"info":"∃⊬1118⨐⩸⫘∃⊬-15=∃⊬18","layer":2},{"info":"⨈⫕∃⊬18=∃⊬-15","layer":1},{"info":"⨞⊢∃⊬ACC=∃⊬-B7A","layer":3},{"info":"∃⊬17C4↬∃⊬A44=NaN","layer":3},{"info":"∃⊬-B7A≧⫂∧NaN=NaN","layer":2},{"info":"⨰⫟⨤∃⊬8FD=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"∃⊬-15⩷∴NaN=NaN","layer":0}]}
{"id":206,"expression_no_base_symbol":"(⊙↵-(($2920$⋳⪒$3742$)∀⇚≩(↩$1332$)))⨸⪁(∂($5107$⩚⊴⇥$6341$⊭↱(≤/$1383$)))","expression":"(⊙↵-((∃⊬B68⋳⪒∃⊬E9E)∀⇚≩(↩∃⊬534)))⨸⪁(∂(∃⊬13F3⩚⊴⇥∃⊬18C5⊭↱(≤/∃⊬567)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":12741,"operation_count":9,"complexity_ratio":1415.6666666666667,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2920,"base":16},"right_expr":{"type":"numeric_atoms","value":3742,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1332,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5107,"base":16},"right_expr":{"type":"numeric_atoms","value":6341,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1383,"base":16}}}}},"used_operators":["g55IO6H4Gj","oWn0xqSxBt","LRNGc0VcxI","12rbrZMWeM","jLgFTUHLKL","Uaa54Peajs","COABgblf1C","NTOWxs364D","eLAdDNolq6"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2920","layer":4},{"info":"number node, value=3742","layer":4},{"info":"compute binary expreesion, left_input=2920, right_input=3742, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1811","layer":3},{"info":"number node, value=1332","layer":4},{"info":"compute unary expreesion, input=1332, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7876","layer":3},{"info":"compute binary expreesion, left_input=1811, right_input=-7876, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=5107","layer":4},{"info":"number node, value=6341","layer":4},{"info":"compute binary expreesion, left_input=5107, right_input=6341, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11569","layer":3},{"info":"number node, value=1383","layer":4},{"info":"compute unary expreesion, input=1383, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-899","layer":3},{"info":"compute binary expreesion, left_input=-11569, right_input=-899, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=21345","layer":2},{"info":"compute unary expreesion, input=21345, 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 = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-((∃⊬B68⋳⪒∃⊬E9E)∀⇚≩(↩∃⊬534)))⨸⪁(∂(∃⊬13F3⩚⊴⇥∃⊬18C5⊭↱(≤/∃⊬567)))=NaN","reverse_text":"NaN=(⊙↵-((∃⊬B68⋳⪒∃⊬E9E)∀⇚≩(↩∃⊬534)))⨸⪁(∂(∃⊬13F3⩚⊴⇥∃⊬18C5⊭↱(≤/∃⊬567)))","cot":[{"info":"∃⊬B68⋳⪒∃⊬E9E=∃⊬713","layer":3},{"info":"↩∃⊬534=∃⊬-1EC4","layer":3},{"info":"∃⊬713∀⇚≩∃⊬-1EC4=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"∃⊬13F3⩚⊴⇥∃⊬18C5=∃⊬-2D31","layer":3},{"info":"≤/∃⊬567=∃⊬-383","layer":3},{"info":"∃⊬-2D31⊭↱∃⊬-383=∃⊬5361","layer":2},{"info":"∂∃⊬5361=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":207,"expression_no_base_symbol":"↥((($1156$≫≃)⪨≂(∂$2578$))⇋≉)","expression":"↥(((∃⊬484≫≃)⪨≂(∂∃⊬A12))⇋≉)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17,"operation_count":5,"complexity_ratio":3.4,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1156,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2578,"base":16}}}}},"used_operators":["A8NUZmVepG","XIabStNQrY","sdazOOVcIp","X99M06cbEe","Uaa54Peajs"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1156","layer":4},{"info":"compute unary expreesion, input=1156, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3713","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3713, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-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":"↥(((∃⊬484≫≃)⪨≂(∂∃⊬A12))⇋≉)=NaN","reverse_text":"NaN=↥(((∃⊬484≫≃)⪨≂(∂∃⊬A12))⇋≉)","cot":[{"info":"∃⊬484≫≃=∃⊬E81","layer":3},{"info":"∂∃⊬A12=NaN","layer":3},{"info":"∃⊬E81⪨≂NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":208,"expression_no_base_symbol":"(($4231$⊠≄⫣)⨐⩸⫘($3355$⪒$3240$)-$5821$⨎$1155$⫸⊐(∥⊫$5141$))⩤","expression":"((∃⊬1087⊠≄⫣)⨐⩸⫘(∃⊬D1B⪒∃⊬CA8)-∃⊬16BD⨎∃⊬483⫸⊐(∥⊫∃⊬1415))⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":38,"operation_count":8,"complexity_ratio":4.75,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4231,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3355,"base":16},"right_expr":{"type":"numeric_atoms","value":3240,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5821,"base":16},"right_expr":{"type":"numeric_atoms","value":1155,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5141,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","rysDP5nf3Z","fu6greOZ01","DIvbN7qnHd","f6k1SAg4EE","mqXw5SEYmG","rJVOvQCfKK","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4231","layer":4},{"info":"compute unary expreesion, input=4231, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3355","layer":4},{"info":"number node, value=3240","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=3240, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6595","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-6595, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5821","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=5821, right_input=1155, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1155","layer":3},{"info":"number node, value=5141","layer":4},{"info":"compute unary expreesion, input=5141, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6009","layer":3},{"info":"compute binary expreesion, left_input=1155, right_input=6009, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=23911","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=23911, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1087⊠≄⫣)⨐⩸⫘(∃⊬D1B⪒∃⊬CA8)-∃⊬16BD⨎∃⊬483⫸⊐(∥⊫∃⊬1415))⩤=NaN","reverse_text":"NaN=((∃⊬1087⊠≄⫣)⨐⩸⫘(∃⊬D1B⪒∃⊬CA8)-∃⊬16BD⨎∃⊬483⫸⊐(∥⊫∃⊬1415))⩤","cot":[{"info":"∃⊬1087⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬D1B⪒∃⊬CA8=∃⊬-19C3","layer":3},{"info":"∃⊬0⨐⩸⫘∃⊬-19C3=NaN","layer":2},{"info":"∃⊬16BD⨎∃⊬483=∃⊬483","layer":3},{"info":"∥⊫∃⊬1415=∃⊬1779","layer":3},{"info":"∃⊬483⫸⊐∃⊬1779=∃⊬5D67","layer":2},{"info":"NaN-∃⊬5D67=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":209,"expression_no_base_symbol":"((($3575$∲⫓$2774$)⋥≓≎(∂$5322$))⋝⋈⪟$1233$∀⇚≩$1838$∑⇟⊟(∂$2898$))↬(⪝⪂⫅($1844$⩚⊴⇥$4621$⫥∨⫟($2641$*$6902$)))","expression":"(((∃⊬DF7∲⫓∃⊬AD6)⋥≓≎(∂∃⊬14CA))⋝⋈⪟∃⊬4D1∀⇚≩∃⊬72E∑⇟⊟(∂∃⊬B52))↬(⪝⪂⫅(∃⊬734⩚⊴⇥∃⊬120D⫥∨⫟(∃⊬A51*∃⊬1AF6)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11446,"operation_count":12,"complexity_ratio":953.8333333333334,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3575,"base":16},"right_expr":{"type":"numeric_atoms","value":2774,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5322,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1233,"base":16},"right_expr":{"type":"numeric_atoms","value":1838,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2898,"base":16}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1844,"base":16},"right_expr":{"type":"numeric_atoms","value":4621,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2641,"base":16},"right_expr":{"type":"numeric_atoms","value":6902,"base":16}}}}},"used_operators":["B5M0gjZbta","2DDjHMKMc0","Qy55tPpLXF","i8ToyICDmI","Uaa54Peajs","U7g4x0WXJJ","LRNGc0VcxI","XTarYq4gQB","KYD54nUTWz","NTOWxs364D","9HNa5Wba9A"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","9HNa5Wba9A","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3575","layer":4},{"info":"number node, value=2774","layer":4},{"info":"compute binary expreesion, left_input=3575, right_input=2774, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5322","layer":4},{"info":"compute unary expreesion, input=5322, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=1233","layer":4},{"info":"number node, value=1838","layer":4},{"info":"compute binary expreesion, left_input=1233, right_input=1838, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2898","layer":4},{"info":"compute unary expreesion, input=2898, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1844","layer":4},{"info":"number node, value=4621","layer":4},{"info":"compute binary expreesion, left_input=1844, right_input=4621, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6586","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=6902","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=6902, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18228182","layer":3},{"info":"compute binary expreesion, left_input=-6586, right_input=18228182, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬DF7∲⫓∃⊬AD6)⋥≓≎(∂∃⊬14CA))⋝⋈⪟∃⊬4D1∀⇚≩∃⊬72E∑⇟⊟(∂∃⊬B52))↬(⪝⪂⫅(∃⊬734⩚⊴⇥∃⊬120D⫥∨⫟(∃⊬A51*∃⊬1AF6)))=NaN","reverse_text":"NaN=(((∃⊬DF7∲⫓∃⊬AD6)⋥≓≎(∂∃⊬14CA))⋝⋈⪟∃⊬4D1∀⇚≩∃⊬72E∑⇟⊟(∂∃⊬B52))↬(⪝⪂⫅(∃⊬734⩚⊴⇥∃⊬120D⫥∨⫟(∃⊬A51*∃⊬1AF6)))","cot":[{"info":"∃⊬DF7∲⫓∃⊬AD6=∃⊬0","layer":3},{"info":"∂∃⊬14CA=NaN","layer":3},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":2},{"info":"∃⊬4D1∀⇚≩∃⊬72E=NaN","layer":3},{"info":"∂∃⊬B52=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬734⩚⊴⇥∃⊬120D=∃⊬-19BA","layer":3},{"info":"∃⊬A51*∃⊬1AF6=∃⊬11623D6","layer":3},{"info":"∃⊬-19BA⫥∨⫟∃⊬11623D6=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":210,"expression_no_base_symbol":"⩦⩻⨪(($4598$∀⇚≩$1236$)⪘⫢(⨑⩽⪐$1933$)⪒$1734$+⇶⊼$1884$*$1076$⨽$2529$)","expression":"⩦⩻⨪((∃⊬11F6∀⇚≩∃⊬4D4)⪘⫢(⨑⩽⪐∃⊬78D)⪒∃⊬6C6+⇶⊼∃⊬75C*∃⊬434⨽∃⊬9E1)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33292,"operation_count":8,"complexity_ratio":4161.5,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4598,"base":16},"right_expr":{"type":"numeric_atoms","value":1236,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1933,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1734,"base":16},"right_expr":{"type":"numeric_atoms","value":1884,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1076,"base":16},"right_expr":{"type":"numeric_atoms","value":2529,"base":16}}}}},"used_operators":["2td37pGCOC","f6k1SAg4EE","oacrs7FA3X","LRNGc0VcxI","AF7qkfDlqP","9HNa5Wba9A","TpPTUOHfaN","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4598","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=4598, right_input=1236, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1660","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1660, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1734","layer":4},{"info":"number node, value=1884","layer":4},{"info":"compute binary expreesion, left_input=1734, right_input=1884, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1076","layer":4},{"info":"number node, value=2529","layer":4},{"info":"compute binary expreesion, left_input=1076, right_input=2529, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3479601","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3479601, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪((∃⊬11F6∀⇚≩∃⊬4D4)⪘⫢(⨑⩽⪐∃⊬78D)⪒∃⊬6C6+⇶⊼∃⊬75C*∃⊬434⨽∃⊬9E1)=NaN","reverse_text":"NaN=⩦⩻⨪((∃⊬11F6∀⇚≩∃⊬4D4)⪘⫢(⨑⩽⪐∃⊬78D)⪒∃⊬6C6+⇶⊼∃⊬75C*∃⊬434⨽∃⊬9E1)","cot":[{"info":"∃⊬11F6∀⇚≩∃⊬4D4=NaN","layer":3},{"info":"⨑⩽⪐∃⊬78D=∃⊬-67C","layer":3},{"info":"NaN⪘⫢∃⊬-67C=NaN","layer":2},{"info":"∃⊬6C6+⇶⊼∃⊬75C=NaN","layer":3},{"info":"∃⊬434⨽∃⊬9E1=∃⊬-351831","layer":3},{"info":"NaN*∃⊬-351831=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":211,"expression_no_base_symbol":"((⩦⩻⨪$2357$)⋳⪒$2283$⪛$5382$)≎⊠⪸((+⊝⨔$1082$)≦≮≮)∲⫓(↩($2145$⪢$3253$)⪮%⊝($1065$⋓$1066$))","expression":"((⩦⩻⨪∃⊬935)⋳⪒∃⊬8EB⪛∃⊬1506)≎⊠⪸((+⊝⨔∃⊬43A)≦≮≮)∲⫓(↩(∃⊬861⪢∃⊬CB5)⪮%⊝(∃⊬429⋓∃⊬42A))","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3364,"operation_count":11,"complexity_ratio":305.8181818181818,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2357,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2283,"base":16},"right_expr":{"type":"numeric_atoms","value":5382,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1082,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2145,"base":16},"right_expr":{"type":"numeric_atoms","value":3253,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1065,"base":16},"right_expr":{"type":"numeric_atoms","value":1066,"base":16}}}}},"used_operators":["i8ToyICDmI","bJkvcejdHO","12rbrZMWeM","2td37pGCOC","uFcxV4UQCh","D4vGDi5EA2","DhbWaqg5eL","jLgFTUHLKL","IWmyXbctLI","dWAJyo7jo9","T2fj7uvVaJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2357","layer":4},{"info":"compute unary expreesion, input=2357, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2357","layer":3},{"info":"number node, value=2283","layer":4},{"info":"number node, value=5382","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=5382, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2283","layer":3},{"info":"compute binary expreesion, left_input=2357, right_input=2283, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2144","layer":2},{"info":"number node, value=1082","layer":4},{"info":"compute unary expreesion, input=1082, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4566","layer":2},{"info":"compute binary expreesion, left_input=2144, right_input=-4566, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2145","layer":4},{"info":"number node, value=3253","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=3253, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1066, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"((⩦⩻⨪∃⊬935)⋳⪒∃⊬8EB⪛∃⊬1506)≎⊠⪸((+⊝⨔∃⊬43A)≦≮≮)∲⫓(↩(∃⊬861⪢∃⊬CB5)⪮%⊝(∃⊬429⋓∃⊬42A))=NaN","reverse_text":"NaN=((⩦⩻⨪∃⊬935)⋳⪒∃⊬8EB⪛∃⊬1506)≎⊠⪸((+⊝⨔∃⊬43A)≦≮≮)∲⫓(↩(∃⊬861⪢∃⊬CB5)⪮%⊝(∃⊬429⋓∃⊬42A))","cot":[{"info":"⩦⩻⨪∃⊬935=∃⊬935","layer":3},{"info":"∃⊬8EB⪛∃⊬1506=∃⊬8EB","layer":3},{"info":"∃⊬935⋳⪒∃⊬8EB=∃⊬860","layer":2},{"info":"+⊝⨔∃⊬43A=∃⊬5F2","layer":3},{"info":"∃⊬5F2≦≮≮=∃⊬-11D6","layer":2},{"info":"∃⊬860≎⊠⪸∃⊬-11D6=∃⊬43","layer":1},{"info":"∃⊬861⪢∃⊬CB5=NaN","layer":3},{"info":"∃⊬429⋓∃⊬42A=∃⊬0","layer":3},{"info":"NaN⪮%⊝∃⊬0=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬43∲⫓NaN=NaN","layer":0}]}
{"id":212,"expression_no_base_symbol":"(-$5731$⪒$1604$)↬($1420$⩨$1618$)⊴($1140$⊠≄⫣)⊦⊿","expression":"(-∃⊬1663⪒∃⊬644)↬(∃⊬58C⩨∃⊬652)⊴(∃⊬474⊠≄⫣)⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25,"operation_count":7,"complexity_ratio":3.5714285714285716,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5731,"base":16},"right_expr":{"type":"numeric_atoms","value":1604,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1420,"base":16},"right_expr":{"type":"numeric_atoms","value":1618,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1140,"base":16}}}}},"used_operators":["14qkJME0vr","B5M0gjZbta","t8gj7n24qd","f6k1SAg4EE","Nsiff2A1zJ","2DlMacCsIx","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5731","layer":4},{"info":"number node, value=1604","layer":4},{"info":"compute binary expreesion, left_input=5731, right_input=1604, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7335","layer":3},{"info":"compute unary expreesion, input=-7335, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7335","layer":2},{"info":"number node, value=1420","layer":4},{"info":"number node, value=1618","layer":4},{"info":"compute binary expreesion, left_input=1420, right_input=1618, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1140","layer":4},{"info":"compute unary expreesion, input=1140, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute binary expreesion, left_input=7335, right_input=-79, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬1663⪒∃⊬644)↬(∃⊬58C⩨∃⊬652)⊴(∃⊬474⊠≄⫣)⊦⊿=NaN","reverse_text":"NaN=(-∃⊬1663⪒∃⊬644)↬(∃⊬58C⩨∃⊬652)⊴(∃⊬474⊠≄⫣)⊦⊿","cot":[{"info":"∃⊬1663⪒∃⊬644=∃⊬-1CA7","layer":3},{"info":"-∃⊬-1CA7=∃⊬1CA7","layer":2},{"info":"∃⊬58C⩨∃⊬652=∃⊬-3","layer":3},{"info":"∃⊬474⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬-3⊴∃⊬0=∃⊬-4F","layer":2},{"info":"∃⊬1CA7↬∃⊬-4F=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":213,"expression_no_base_symbol":"(⪝⪂⫅(⨵≀≌($1563$⊭↱$4041$)))↙(($6044$/$1179$⪨≂$2873$+⇶⊼$2950$)⫌⩹⨱)","expression":"(⪝⪂⫅(⨵≀≌(∃⊬61B⊭↱∃⊬FC9)))↙((∃⊬179C/∃⊬49B⪨≂∃⊬B39+⇶⊼∃⊬B86)⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":181,"operation_count":8,"complexity_ratio":22.625,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1563,"base":16},"right_expr":{"type":"numeric_atoms","value":4041,"base":16}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6044,"base":16},"right_expr":{"type":"numeric_atoms","value":1179,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2873,"base":16},"right_expr":{"type":"numeric_atoms","value":2950,"base":16}}}}},"used_operators":["yyfyN0ffXY","XTarYq4gQB","srAu1WTS94","COABgblf1C","EBcxylXtPf","sdazOOVcIp","XhwjNDsVaA","TpPTUOHfaN"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1563","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=1563, right_input=4041, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4961","layer":3},{"info":"compute unary expreesion, input=4961, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14883","layer":2},{"info":"compute unary expreesion, input=-14883, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=2187801","layer":1},{"info":"number node, value=6044","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=6044, right_input=1179, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"number node, value=2873","layer":4},{"info":"number node, value=2950","layer":4},{"info":"compute binary expreesion, left_input=2873, right_input=2950, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2187801, 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":"(⪝⪂⫅(⨵≀≌(∃⊬61B⊭↱∃⊬FC9)))↙((∃⊬179C/∃⊬49B⪨≂∃⊬B39+⇶⊼∃⊬B86)⫌⩹⨱)=NaN","reverse_text":"NaN=(⪝⪂⫅(⨵≀≌(∃⊬61B⊭↱∃⊬FC9)))↙((∃⊬179C/∃⊬49B⪨≂∃⊬B39+⇶⊼∃⊬B86)⫌⩹⨱)","cot":[{"info":"∃⊬61B⊭↱∃⊬FC9=∃⊬1361","layer":3},{"info":"⨵≀≌∃⊬1361=∃⊬-3A23","layer":2},{"info":"⪝⪂⫅∃⊬-3A23=∃⊬216219","layer":1},{"info":"∃⊬179C/∃⊬49B=∃⊬5","layer":3},{"info":"∃⊬B39+⇶⊼∃⊬B86=NaN","layer":3},{"info":"∃⊬5⪨≂NaN=NaN","layer":2},{"info":"NaN⫌⩹⨱=NaN","layer":1},{"info":"∃⊬216219↙NaN=NaN","layer":0}]}
{"id":214,"expression_no_base_symbol":"∂((↽≂$1001$)⪮%⊝($3658$≧⫂∧$1280$)⩚⊴⇥(($6943$⫡⨏$6730$)≦≮≮))","expression":"∂((↽≂∃⊬3E9)⪮%⊝(∃⊬E4A≧⫂∧∃⊬500)⩚⊴⇥((∃⊬1B1F⫡⨏∃⊬1A4A)≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27,"operation_count":7,"complexity_ratio":3.857142857142857,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1001,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3658,"base":16},"right_expr":{"type":"numeric_atoms","value":1280,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6943,"base":16},"right_expr":{"type":"numeric_atoms","value":6730,"base":16}}}}},"used_operators":["Uaa54Peajs","NTOWxs364D","IWmyXbctLI","u6S6b8DprG","Ph9nP6C5qx","D4vGDi5EA2","QMFrweE19q"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2002","layer":3},{"info":"number node, value=3658","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=3658, right_input=1280, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=807","layer":3},{"info":"compute binary expreesion, left_input=-2002, right_input=807, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3688","layer":2},{"info":"number node, value=6943","layer":4},{"info":"number node, value=6730","layer":4},{"info":"compute binary expreesion, left_input=6943, right_input=6730, 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=48958","layer":3},{"info":"compute unary expreesion, input=48958, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-146874","layer":2},{"info":"compute binary expreesion, left_input=-3688, right_input=-146874, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=150441","layer":1},{"info":"compute unary expreesion, input=150441, 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":"∂((↽≂∃⊬3E9)⪮%⊝(∃⊬E4A≧⫂∧∃⊬500)⩚⊴⇥((∃⊬1B1F⫡⨏∃⊬1A4A)≦≮≮))=NaN","reverse_text":"NaN=∂((↽≂∃⊬3E9)⪮%⊝(∃⊬E4A≧⫂∧∃⊬500)⩚⊴⇥((∃⊬1B1F⫡⨏∃⊬1A4A)≦≮≮))","cot":[{"info":"↽≂∃⊬3E9=∃⊬-7D2","layer":3},{"info":"∃⊬E4A≧⫂∧∃⊬500=∃⊬327","layer":3},{"info":"∃⊬-7D2⪮%⊝∃⊬327=∃⊬-E68","layer":2},{"info":"∃⊬1B1F⫡⨏∃⊬1A4A=∃⊬BF3E","layer":3},{"info":"∃⊬BF3E≦≮≮=∃⊬-23DBA","layer":2},{"info":"∃⊬-E68⩚⊴⇥∃⊬-23DBA=∃⊬24BA9","layer":1},{"info":"∂∃⊬24BA9=NaN","layer":0}]}
{"id":215,"expression_no_base_symbol":"↩(($3000$-$1060$)⨰(+⊝⨔$1649$))⊴((↣≠⋷$1166$)+⇶⊼$2894$⪢$2059$)","expression":"↩((∃⊬BB8-∃⊬424)⨰(+⊝⨔∃⊬671))⊴((↣≠⋷∃⊬48E)+⇶⊼∃⊬B4E⪢∃⊬80B)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4548,"operation_count":8,"complexity_ratio":568.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3000,"base":16},"right_expr":{"type":"numeric_atoms","value":1060,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1649,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1166,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2894,"base":16},"right_expr":{"type":"numeric_atoms","value":2059,"base":16}}}}},"used_operators":["jLgFTUHLKL","Nsiff2A1zJ","eewbuw0ToL","rysDP5nf3Z","DhbWaqg5eL","TpPTUOHfaN","Asc51vEJeQ","dWAJyo7jo9"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3000","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=3000, right_input=1060, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1940","layer":3},{"info":"number node, value=1649","layer":4},{"info":"compute unary expreesion, input=1649, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=1940, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=428","layer":2},{"info":"number node, value=1166","layer":4},{"info":"compute unary expreesion, input=1166, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2894","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=2059, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=428, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↩((∃⊬BB8-∃⊬424)⨰(+⊝⨔∃⊬671))⊴((↣≠⋷∃⊬48E)+⇶⊼∃⊬B4E⪢∃⊬80B)=NaN","reverse_text":"NaN=↩((∃⊬BB8-∃⊬424)⨰(+⊝⨔∃⊬671))⊴((↣≠⋷∃⊬48E)+⇶⊼∃⊬B4E⪢∃⊬80B)","cot":[{"info":"∃⊬BB8-∃⊬424=∃⊬794","layer":3},{"info":"+⊝⨔∃⊬671=∃⊬5F2","layer":3},{"info":"∃⊬794⨰∃⊬5F2=∃⊬1AC","layer":2},{"info":"↣≠⋷∃⊬48E=NaN","layer":3},{"info":"∃⊬B4E⪢∃⊬80B=NaN","layer":3},{"info":"NaN+⇶⊼NaN=NaN","layer":2},{"info":"∃⊬1AC⊴NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":216,"expression_no_base_symbol":"(($2807$⨎$3260$⨳⩥⨓($6542$∲⫓$1003$))∧)⫥∨⫟(($6407$⫩⊇)⩚⊴⇥($1158$⋳⪒$4077$)∲⫓($4350$*$5333$)⨐⩸⫘$1179$⇷$1666$)","expression":"((∃⊬AF7⨎∃⊬CBC⨳⩥⨓(∃⊬198E∲⫓∃⊬3EB))∧)⫥∨⫟((∃⊬1907⫩⊇)⩚⊴⇥(∃⊬486⋳⪒∃⊬FED)∲⫓(∃⊬10FE*∃⊬14D5)⨐⩸⫘∃⊬49B⇷∃⊬682)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21045,"operation_count":12,"complexity_ratio":1753.75,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2807,"base":16},"right_expr":{"type":"numeric_atoms","value":3260,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6542,"base":16},"right_expr":{"type":"numeric_atoms","value":1003,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":6407,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1158,"base":16},"right_expr":{"type":"numeric_atoms","value":4077,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4350,"base":16},"right_expr":{"type":"numeric_atoms","value":5333,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1179,"base":16},"right_expr":{"type":"numeric_atoms","value":1666,"base":16}}}}},"used_operators":["KYD54nUTWz","z63VuFQld9","nCS4ZIUYfx","rJVOvQCfKK","i8ToyICDmI","NTOWxs364D","BjRHVeLaeN","12rbrZMWeM","fu6greOZ01","9HNa5Wba9A","mp7IySMOzn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2807","layer":4},{"info":"number node, value=3260","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=3260, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3260","layer":3},{"info":"number node, value=6542","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=6542, right_input=1003, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3260, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3260","layer":2},{"info":"compute unary expreesion, input=-3260, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"number node, value=6407","layer":4},{"info":"compute unary expreesion, input=6407, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-6365","layer":3},{"info":"number node, value=1158","layer":4},{"info":"number node, value=4077","layer":4},{"info":"compute binary expreesion, left_input=1158, right_input=4077, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2048","layer":3},{"info":"compute binary expreesion, left_input=-6365, right_input=-2048, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=8292","layer":2},{"info":"number node, value=4350","layer":4},{"info":"number node, value=5333","layer":4},{"info":"compute binary expreesion, left_input=4350, right_input=5333, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=23198550","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1666","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1666, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3332","layer":3},{"info":"compute binary expreesion, left_input=23198550, right_input=3332, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8292, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬AF7⨎∃⊬CBC⨳⩥⨓(∃⊬198E∲⫓∃⊬3EB))∧)⫥∨⫟((∃⊬1907⫩⊇)⩚⊴⇥(∃⊬486⋳⪒∃⊬FED)∲⫓(∃⊬10FE*∃⊬14D5)⨐⩸⫘∃⊬49B⇷∃⊬682)=NaN","reverse_text":"NaN=((∃⊬AF7⨎∃⊬CBC⨳⩥⨓(∃⊬198E∲⫓∃⊬3EB))∧)⫥∨⫟((∃⊬1907⫩⊇)⩚⊴⇥(∃⊬486⋳⪒∃⊬FED)∲⫓(∃⊬10FE*∃⊬14D5)⨐⩸⫘∃⊬49B⇷∃⊬682)","cot":[{"info":"∃⊬AF7⨎∃⊬CBC=∃⊬CBC","layer":3},{"info":"∃⊬198E∲⫓∃⊬3EB=∃⊬0","layer":3},{"info":"∃⊬CBC⨳⩥⨓∃⊬0=∃⊬-CBC","layer":2},{"info":"∃⊬-CBC∧=∃⊬0","layer":1},{"info":"∃⊬1907⫩⊇=∃⊬-18DD","layer":3},{"info":"∃⊬486⋳⪒∃⊬FED=∃⊬-800","layer":3},{"info":"∃⊬-18DD⩚⊴⇥∃⊬-800=∃⊬2064","layer":2},{"info":"∃⊬10FE*∃⊬14D5=∃⊬161FB56","layer":3},{"info":"∃⊬49B⇷∃⊬682=∃⊬D04","layer":3},{"info":"∃⊬161FB56⨐⩸⫘∃⊬D04=NaN","layer":2},{"info":"∃⊬2064∲⫓NaN=NaN","layer":1},{"info":"∃⊬0⫥∨⫟NaN=NaN","layer":0}]}
{"id":217,"expression_no_base_symbol":"(↩($1063$⪘⫢$7677$∸))↙((⨰⫟⨤$1783$)⨐⩸⫘($1505$⫸⊐$1962$)⨸⪁($1002$∀⇚≩$2287$/(⫛⫱⨽$5550$)))","expression":"(↩(∃⊬427⪘⫢∃⊬1DFD∸))↙((⨰⫟⨤∃⊬6F7)⨐⩸⫘(∃⊬5E1⫸⊐∃⊬7AA)⨸⪁(∃⊬3EA∀⇚≩∃⊬8EF/(⫛⫱⨽∃⊬15AE)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":14969,"operation_count":11,"complexity_ratio":1360.8181818181818,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1063,"base":16},"right_expr":{"type":"numeric_atoms","value":7677,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1783,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1505,"base":16},"right_expr":{"type":"numeric_atoms","value":1962,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":2287,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5550,"base":16}}}}},"used_operators":["yyfyN0ffXY","jLgFTUHLKL","o20kRiQErp","oacrs7FA3X","g55IO6H4Gj","fu6greOZ01","Tw270M8GLb","mqXw5SEYmG","XhwjNDsVaA","LRNGc0VcxI","DlLNRPXxWL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","X99M06cbEe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1063","layer":4},{"info":"number node, value=7677","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=7677, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2002","layer":3},{"info":"compute unary expreesion, input=2002, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=1364","layer":1},{"info":"number node, value=1783","layer":4},{"info":"compute unary expreesion, input=1783, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1505","layer":4},{"info":"number node, value=1962","layer":4},{"info":"compute binary expreesion, left_input=1505, right_input=1962, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7723","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7723, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1002","layer":4},{"info":"number node, value=2287","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=2287, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5550","layer":4},{"info":"compute unary expreesion, input=5550, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1364, 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":"(↩(∃⊬427⪘⫢∃⊬1DFD∸))↙((⨰⫟⨤∃⊬6F7)⨐⩸⫘(∃⊬5E1⫸⊐∃⊬7AA)⨸⪁(∃⊬3EA∀⇚≩∃⊬8EF/(⫛⫱⨽∃⊬15AE)))=NaN","reverse_text":"NaN=(↩(∃⊬427⪘⫢∃⊬1DFD∸))↙((⨰⫟⨤∃⊬6F7)⨐⩸⫘(∃⊬5E1⫸⊐∃⊬7AA)⨸⪁(∃⊬3EA∀⇚≩∃⊬8EF/(⫛⫱⨽∃⊬15AE)))","cot":[{"info":"∃⊬427⪘⫢∃⊬1DFD=∃⊬7D2","layer":3},{"info":"∃⊬7D2∸=∃⊬B1","layer":2},{"info":"↩∃⊬B1=∃⊬554","layer":1},{"info":"⨰⫟⨤∃⊬6F7=NaN","layer":3},{"info":"∃⊬5E1⫸⊐∃⊬7AA=∃⊬1E2B","layer":3},{"info":"NaN⨐⩸⫘∃⊬1E2B=NaN","layer":2},{"info":"∃⊬3EA∀⇚≩∃⊬8EF=NaN","layer":3},{"info":"⫛⫱⨽∃⊬15AE=∃⊬0","layer":3},{"info":"NaN/∃⊬0=NaN","layer":2},{"info":"NaN⨸⪁NaN=NaN","layer":1},{"info":"∃⊬554↙NaN=NaN","layer":0}]}
{"id":218,"expression_no_base_symbol":"($1957$⪛$2929$-$2725$+⇶⊼$3388$⫡⨏(⨞⊢($2314$⪄$1241$)))⊴(↥($5696$⪢$8704$⪨≂($3362$⪨≂$6930$)))","expression":"(∃⊬7A5⪛∃⊬B71-∃⊬AA5+⇶⊼∃⊬D3C⫡⨏(⨞⊢(∃⊬90A⪄∃⊬4D9)))⊴(↥(∃⊬1640⪢∃⊬2200⪨≂(∃⊬D22⪨≂∃⊬1B12)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8832,"operation_count":11,"complexity_ratio":802.9090909090909,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1957,"base":16},"right_expr":{"type":"numeric_atoms","value":2929,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2725,"base":16},"right_expr":{"type":"numeric_atoms","value":3388,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2314,"base":16},"right_expr":{"type":"numeric_atoms","value":1241,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5696,"base":16},"right_expr":{"type":"numeric_atoms","value":8704,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3362,"base":16},"right_expr":{"type":"numeric_atoms","value":6930,"base":16}}}}},"used_operators":["Nsiff2A1zJ","QMFrweE19q","rysDP5nf3Z","uFcxV4UQCh","TpPTUOHfaN","xUOZtlo3hN","SUmda5xLS4","A8NUZmVepG","sdazOOVcIp","dWAJyo7jo9"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1957","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=1957, right_input=2929, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1957","layer":3},{"info":"number node, value=2725","layer":4},{"info":"number node, value=3388","layer":4},{"info":"compute binary expreesion, left_input=2725, right_input=3388, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1957, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2314","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=2314, right_input=1241, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-343525","layer":3},{"info":"compute unary expreesion, input=-343525, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=343351","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=343351, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=5696","layer":4},{"info":"number node, value=8704","layer":4},{"info":"compute binary expreesion, left_input=5696, right_input=8704, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3362","layer":4},{"info":"number node, value=6930","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=6930, 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=-7034","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7034, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7A5⪛∃⊬B71-∃⊬AA5+⇶⊼∃⊬D3C⫡⨏(⨞⊢(∃⊬90A⪄∃⊬4D9)))⊴(↥(∃⊬1640⪢∃⊬2200⪨≂(∃⊬D22⪨≂∃⊬1B12)))=NaN","reverse_text":"NaN=(∃⊬7A5⪛∃⊬B71-∃⊬AA5+⇶⊼∃⊬D3C⫡⨏(⨞⊢(∃⊬90A⪄∃⊬4D9)))⊴(↥(∃⊬1640⪢∃⊬2200⪨≂(∃⊬D22⪨≂∃⊬1B12)))","cot":[{"info":"∃⊬7A5⪛∃⊬B71=∃⊬7A5","layer":3},{"info":"∃⊬AA5+⇶⊼∃⊬D3C=NaN","layer":3},{"info":"∃⊬7A5-NaN=NaN","layer":2},{"info":"∃⊬90A⪄∃⊬4D9=∃⊬-53DE5","layer":3},{"info":"⨞⊢∃⊬-53DE5=∃⊬53D37","layer":2},{"info":"NaN⫡⨏∃⊬53D37=NaN","layer":1},{"info":"∃⊬1640⪢∃⊬2200=NaN","layer":3},{"info":"∃⊬D22⪨≂∃⊬1B12=∃⊬-1B7A","layer":3},{"info":"NaN⪨≂∃⊬-1B7A=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":219,"expression_no_base_symbol":"⊄⩳↩((↣≠⋷($1291$⫡⨏$1584$))⫸⊐($5207$⋷$3701$)⪮%⊝($1833$⩠))","expression":"⊄⩳↩((↣≠⋷(∃⊬50B⫡⨏∃⊬630))⫸⊐(∃⊬1457⋷∃⊬E75)⪮%⊝(∃⊬729⩠))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47,"operation_count":7,"complexity_ratio":6.714285714285714,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1291,"base":16},"right_expr":{"type":"numeric_atoms","value":1584,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5207,"base":16},"right_expr":{"type":"numeric_atoms","value":3701,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1833,"base":16}}}}},"used_operators":["8w2t5hMYqp","mqXw5SEYmG","Asc51vEJeQ","QMFrweE19q","IWmyXbctLI","23Mk6UjR3U","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1291","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=1584, 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=10406","layer":3},{"info":"compute unary expreesion, input=10406, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=5207","layer":4},{"info":"number node, value=3701","layer":4},{"info":"compute binary expreesion, left_input=5207, right_input=3701, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2195","layer":3},{"info":"number node, value=1833","layer":4},{"info":"compute unary expreesion, input=1833, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2195, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"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":"⊄⩳↩((↣≠⋷(∃⊬50B⫡⨏∃⊬630))⫸⊐(∃⊬1457⋷∃⊬E75)⪮%⊝(∃⊬729⩠))=NaN","reverse_text":"NaN=⊄⩳↩((↣≠⋷(∃⊬50B⫡⨏∃⊬630))⫸⊐(∃⊬1457⋷∃⊬E75)⪮%⊝(∃⊬729⩠))","cot":[{"info":"∃⊬50B⫡⨏∃⊬630=∃⊬28A6","layer":3},{"info":"↣≠⋷∃⊬28A6=NaN","layer":2},{"info":"∃⊬1457⋷∃⊬E75=∃⊬893","layer":3},{"info":"∃⊬729⩠=∃⊬0","layer":3},{"info":"∃⊬893⪮%⊝∃⊬0=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":220,"expression_no_base_symbol":"((⨑⩽⪐$9535$⨓$1046$)⫸⊐(⩦⩻⨪$3201$)⪢($1003$⨓$1828$))⨪↰⇹(+⊝⨔($1304$⨐⩸⫘$1575$⪄($2050$⩨$3158$)))","expression":"((⨑⩽⪐∃⊬253F⨓∃⊬416)⫸⊐(⩦⩻⨪∃⊬C81)⪢(∃⊬3EB⨓∃⊬724))⨪↰⇹(+⊝⨔(∃⊬518⨐⩸⫘∃⊬627⪄(∃⊬802⩨∃⊬C56)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4988,"operation_count":11,"complexity_ratio":453.45454545454544,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":9535,"base":16},"right_expr":{"type":"numeric_atoms","value":1046,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3201,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":1828,"base":16}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1304,"base":16},"right_expr":{"type":"numeric_atoms","value":1575,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2050,"base":16},"right_expr":{"type":"numeric_atoms","value":3158,"base":16}}}}},"used_operators":["tmPS8pqC7x","mqXw5SEYmG","AF7qkfDlqP","3ViojmjbAp","dWAJyo7jo9","2td37pGCOC","DhbWaqg5eL","SUmda5xLS4","fu6greOZ01","2DlMacCsIx"],"dependent_operators":["rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=9535","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=9535, right_input=1046, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1049","layer":3},{"info":"compute unary expreesion, input=-1049, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2887","layer":2},{"info":"number node, value=3201","layer":4},{"info":"compute unary expreesion, input=3201, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3201","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1828","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1828, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1831","layer":3},{"info":"compute binary expreesion, left_input=3201, right_input=-1831, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2887, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=1304","layer":4},{"info":"number node, value=1575","layer":4},{"info":"compute binary expreesion, left_input=1304, right_input=1575, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=3158","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=3158, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = 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 = 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":"((⨑⩽⪐∃⊬253F⨓∃⊬416)⫸⊐(⩦⩻⨪∃⊬C81)⪢(∃⊬3EB⨓∃⊬724))⨪↰⇹(+⊝⨔(∃⊬518⨐⩸⫘∃⊬627⪄(∃⊬802⩨∃⊬C56)))=NaN","reverse_text":"NaN=((⨑⩽⪐∃⊬253F⨓∃⊬416)⫸⊐(⩦⩻⨪∃⊬C81)⪢(∃⊬3EB⨓∃⊬724))⨪↰⇹(+⊝⨔(∃⊬518⨐⩸⫘∃⊬627⪄(∃⊬802⩨∃⊬C56)))","cot":[{"info":"∃⊬253F⨓∃⊬416=∃⊬-419","layer":3},{"info":"⨑⩽⪐∃⊬-419=∃⊬B47","layer":2},{"info":"⩦⩻⨪∃⊬C81=∃⊬C81","layer":3},{"info":"∃⊬3EB⨓∃⊬724=∃⊬-727","layer":3},{"info":"∃⊬C81⪢∃⊬-727=NaN","layer":2},{"info":"∃⊬B47⫸⊐NaN=NaN","layer":1},{"info":"∃⊬518⨐⩸⫘∃⊬627=NaN","layer":3},{"info":"∃⊬802⩨∃⊬C56=∃⊬-3","layer":3},{"info":"NaN⪄∃⊬-3=∃⊬F8B","layer":2},{"info":"+⊝⨔∃⊬F8B=∃⊬5F2","layer":1},{"info":"NaN⨪↰⇹∃⊬5F2=NaN","layer":0}]}
{"id":221,"expression_no_base_symbol":"((⫛⫱⨽(↔$1748$))⨳⩥⨓(($1779$⪐)⪠⩆⊳))⨓(⫓⪴(($8426$↺$2455$)⨽$1349$⩚⊴⇥$2379$))","expression":"((⫛⫱⨽(↔∃⊬6D4))⨳⩥⨓((∃⊬6F3⪐)⪠⩆⊳))⨓(⫓⪴((∃⊬20EA↺∃⊬997)⨽∃⊬545⩚⊴⇥∃⊬94B))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":18072130,"operation_count":10,"complexity_ratio":1807213.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1748,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1779,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":8426,"base":16},"right_expr":{"type":"numeric_atoms","value":2455,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1349,"base":16},"right_expr":{"type":"numeric_atoms","value":2379,"base":16}}}}},"used_operators":["3ViojmjbAp","nCS4ZIUYfx","DlLNRPXxWL","ruOEQAzv1W","JLbD19bQDL","eH2TOUuTDT","eLxqMNBOBk","8HhzD0ZcuI","7j4O788W3g","NTOWxs364D"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1748","layer":4},{"info":"compute unary expreesion, input=1748, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1475","layer":3},{"info":"compute unary expreesion, input=-1475, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=1779","layer":4},{"info":"compute unary expreesion, input=1779, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3558","layer":3},{"info":"compute unary expreesion, input=3558, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=0","layer":1},{"info":"number node, value=8426","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=8426, right_input=2455, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2455","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2379","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2379, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3849","layer":3},{"info":"compute binary expreesion, left_input=2455, right_input=-3849, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-18068214","layer":2},{"info":"compute unary expreesion, input=-18068214, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=inf, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⫛⫱⨽(↔∃⊬6D4))⨳⩥⨓((∃⊬6F3⪐)⪠⩆⊳))⨓(⫓⪴((∃⊬20EA↺∃⊬997)⨽∃⊬545⩚⊴⇥∃⊬94B))=NaN","reverse_text":"NaN=((⫛⫱⨽(↔∃⊬6D4))⨳⩥⨓((∃⊬6F3⪐)⪠⩆⊳))⨓(⫓⪴((∃⊬20EA↺∃⊬997)⨽∃⊬545⩚⊴⇥∃⊬94B))","cot":[{"info":"↔∃⊬6D4=∃⊬-5C3","layer":3},{"info":"⫛⫱⨽∃⊬-5C3=∃⊬0","layer":2},{"info":"∃⊬6F3⪐=∃⊬DE6","layer":3},{"info":"∃⊬DE6⪠⩆⊳=∃⊬0","layer":2},{"info":"∃⊬0⨳⩥⨓∃⊬0=∃⊬0","layer":1},{"info":"∃⊬20EA↺∃⊬997=∃⊬997","layer":3},{"info":"∃⊬545⩚⊴⇥∃⊬94B=∃⊬-F09","layer":3},{"info":"∃⊬997⨽∃⊬-F09=∃⊬-113B2F6","layer":2},{"info":"⫓⪴∃⊬-113B2F6=Inf","layer":1},{"info":"∃⊬0⨓Inf=NaN","layer":0}]}
{"id":222,"expression_no_base_symbol":"((≉$6183$)⋷(≦∁$7603$))⪒(⨈⫕$4234$⩚⊴⇥$3484$)⋷(⊥(($5888$∲⫓$6715$)⋝⋈⪟$5134$≹⇙⪍$1410$))","expression":"((≉∃⊬1827)⋷(≦∁∃⊬1DB3))⪒(⨈⫕∃⊬108A⩚⊴⇥∃⊬D9C)⋷(⊥((∃⊬1700∲⫓∃⊬1A3B)⋝⋈⪟∃⊬140E≹⇙⪍∃⊬582))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":407,"operation_count":11,"complexity_ratio":37.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6183,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7603,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4234,"base":16},"right_expr":{"type":"numeric_atoms","value":3484,"base":16}}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5888,"base":16},"right_expr":{"type":"numeric_atoms","value":6715,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5134,"base":16},"right_expr":{"type":"numeric_atoms","value":1410,"base":16}}}}},"used_operators":["23Mk6UjR3U","f6k1SAg4EE","e1ybzncUwg","9ICcGScMcE","megm06wKyl","NTOWxs364D","Q3PJZHRvZv","2DDjHMKMc0","i8ToyICDmI","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"∃⊬422E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6183","layer":4},{"info":"compute unary expreesion, input=6183, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6714","layer":3},{"info":"number node, value=7603","layer":4},{"info":"compute unary expreesion, input=7603, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7603","layer":3},{"info":"compute binary expreesion, left_input=6714, right_input=7603, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8492","layer":2},{"info":"number node, value=4234","layer":4},{"info":"number node, value=3484","layer":4},{"info":"compute binary expreesion, left_input=4234, right_input=3484, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7839","layer":3},{"info":"compute unary expreesion, input=-7839, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=8492, right_input=-21, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8471","layer":1},{"info":"number node, value=5888","layer":4},{"info":"number node, value=6715","layer":4},{"info":"compute binary expreesion, left_input=5888, right_input=6715, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5134","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=1410, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8471, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=16942","layer":0}],"base":16,"result_base":16,"text":"((≉∃⊬1827)⋷(≦∁∃⊬1DB3))⪒(⨈⫕∃⊬108A⩚⊴⇥∃⊬D9C)⋷(⊥((∃⊬1700∲⫓∃⊬1A3B)⋝⋈⪟∃⊬140E≹⇙⪍∃⊬582))=∃⊬422E","reverse_text":"∃⊬422E=((≉∃⊬1827)⋷(≦∁∃⊬1DB3))⪒(⨈⫕∃⊬108A⩚⊴⇥∃⊬D9C)⋷(⊥((∃⊬1700∲⫓∃⊬1A3B)⋝⋈⪟∃⊬140E≹⇙⪍∃⊬582))","cot":[{"info":"≉∃⊬1827=∃⊬1A3A","layer":3},{"info":"≦∁∃⊬1DB3=∃⊬1DB3","layer":3},{"info":"∃⊬1A3A⋷∃⊬1DB3=∃⊬212C","layer":2},{"info":"∃⊬108A⩚⊴⇥∃⊬D9C=∃⊬-1E9F","layer":3},{"info":"⨈⫕∃⊬-1E9F=∃⊬-15","layer":2},{"info":"∃⊬212C⪒∃⊬-15=∃⊬-2117","layer":1},{"info":"∃⊬1700∲⫓∃⊬1A3B=∃⊬0","layer":3},{"info":"∃⊬140E≹⇙⪍∃⊬582=NaN","layer":3},{"info":"∃⊬0⋝⋈⪟NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"∃⊬-2117⋷NaN=∃⊬422E","layer":0}]}
{"id":223,"expression_no_base_symbol":"((⨞⊢$1942$)⨐⩸⫘($3164$⊭↱$1040$)⩨$2601$↬$6089$⫥∨⫟(⊙↵-$3795$))≣⋋","expression":"((⨞⊢∃⊬796)⨐⩸⫘(∃⊬C5C⊭↱∃⊬410)⩨∃⊬A29↬∃⊬17C9⫥∨⫟(⊙↵-∃⊬ED3))≣⋋","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4013,"operation_count":8,"complexity_ratio":501.625,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1942,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3164,"base":16},"right_expr":{"type":"numeric_atoms","value":1040,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2601,"base":16},"right_expr":{"type":"numeric_atoms","value":6089,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":3795,"base":16}}}}},"used_operators":["Tcnh7f0tEr","2DlMacCsIx","fu6greOZ01","xUOZtlo3hN","COABgblf1C","KYD54nUTWz","B5M0gjZbta","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1942","layer":4},{"info":"compute unary expreesion, input=1942, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2116","layer":3},{"info":"number node, value=3164","layer":4},{"info":"number node, value=1040","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=1040, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4243","layer":3},{"info":"compute binary expreesion, left_input=-2116, right_input=-4243, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2601","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=2601, right_input=6089, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3795","layer":4},{"info":"compute unary expreesion, input=3795, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨞⊢∃⊬796)⨐⩸⫘(∃⊬C5C⊭↱∃⊬410)⩨∃⊬A29↬∃⊬17C9⫥∨⫟(⊙↵-∃⊬ED3))≣⋋=NaN","reverse_text":"NaN=((⨞⊢∃⊬796)⨐⩸⫘(∃⊬C5C⊭↱∃⊬410)⩨∃⊬A29↬∃⊬17C9⫥∨⫟(⊙↵-∃⊬ED3))≣⋋","cot":[{"info":"⨞⊢∃⊬796=∃⊬-844","layer":3},{"info":"∃⊬C5C⊭↱∃⊬410=∃⊬-1093","layer":3},{"info":"∃⊬-844⨐⩸⫘∃⊬-1093=NaN","layer":2},{"info":"∃⊬A29↬∃⊬17C9=NaN","layer":3},{"info":"⊙↵-∃⊬ED3=∃⊬-1","layer":3},{"info":"NaN⫥∨⫟∃⊬-1=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":224,"expression_no_base_symbol":"(+⊝⨔(∂($8917$⪒$3897$)))⨎((⊄⩳↩$9071$⪢$3534$)⫸⊐((↩$3562$)⪨≂(↯⪼$2010$)))","expression":"(+⊝⨔(∂(∃⊬22D5⪒∃⊬F39)))⨎((⊄⩳↩∃⊬236F⪢∃⊬DCE)⫸⊐((↩∃⊬DEA)⪨≂(↯⪼∃⊬7DA)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":14379,"operation_count":10,"complexity_ratio":1437.9,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8917,"base":16},"right_expr":{"type":"numeric_atoms","value":3897,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":9071,"base":16},"right_expr":{"type":"numeric_atoms","value":3534,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3562,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2010,"base":16}}}}},"used_operators":["rJVOvQCfKK","DhbWaqg5eL","Uaa54Peajs","f6k1SAg4EE","mqXw5SEYmG","8w2t5hMYqp","dWAJyo7jo9","sdazOOVcIp","jLgFTUHLKL","8jW3W4yZS5"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8917","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=8917, right_input=3897, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12814","layer":3},{"info":"compute unary expreesion, input=-12814, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=12550","layer":2},{"info":"compute unary expreesion, input=12550, 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=9071","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=9071, right_input=3534, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3562","layer":4},{"info":"compute unary expreesion, input=3562, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-25716","layer":3},{"info":"number node, value=2010","layer":4},{"info":"compute unary expreesion, input=2010, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-25716, right_input=-21, 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=-51288","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-51288, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, 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":"(+⊝⨔(∂(∃⊬22D5⪒∃⊬F39)))⨎((⊄⩳↩∃⊬236F⪢∃⊬DCE)⫸⊐((↩∃⊬DEA)⪨≂(↯⪼∃⊬7DA)))=NaN","reverse_text":"NaN=(+⊝⨔(∂(∃⊬22D5⪒∃⊬F39)))⨎((⊄⩳↩∃⊬236F⪢∃⊬DCE)⫸⊐((↩∃⊬DEA)⪨≂(↯⪼∃⊬7DA)))","cot":[{"info":"∃⊬22D5⪒∃⊬F39=∃⊬-320E","layer":3},{"info":"∂∃⊬-320E=∃⊬3106","layer":2},{"info":"+⊝⨔∃⊬3106=∃⊬5F2","layer":1},{"info":"∃⊬236F⪢∃⊬DCE=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"↩∃⊬DEA=∃⊬-6474","layer":3},{"info":"↯⪼∃⊬7DA=∃⊬-15","layer":3},{"info":"∃⊬-6474⪨≂∃⊬-15=∃⊬-C858","layer":2},{"info":"NaN⫸⊐∃⊬-C858=NaN","layer":1},{"info":"∃⊬5F2⨎NaN=NaN","layer":0}]}
{"id":225,"expression_no_base_symbol":"(≉($7597$⪒$4323$))-($3961$⋷$2251$)⨟⋌⩍($2545$⊘)/((-$1766$)-$1891$⨐⩸⫘$6477$)⨎(⫓⪴($2147$+⇶⊼$5425$))","expression":"(≉(∃⊬1DAD⪒∃⊬10E3))-(∃⊬F79⋷∃⊬8CB)⨟⋌⩍(∃⊬9F1⊘)/((-∃⊬6E6)-∃⊬763⨐⩸⫘∃⊬194D)⨎(⫓⪴(∃⊬863+⇶⊼∃⊬1531))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":35,"operation_count":13,"complexity_ratio":2.6923076923076925,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7597,"base":16},"right_expr":{"type":"numeric_atoms","value":4323,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3961,"base":16},"right_expr":{"type":"numeric_atoms","value":2251,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2545,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1766,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1891,"base":16},"right_expr":{"type":"numeric_atoms","value":6477,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2147,"base":16},"right_expr":{"type":"numeric_atoms","value":5425,"base":16}}}}},"used_operators":["XhwjNDsVaA","rysDP5nf3Z","e1ybzncUwg","f6k1SAg4EE","rGHVDoGpnC","23Mk6UjR3U","gu96TGCTMs","rJVOvQCfKK","t8gj7n24qd","fu6greOZ01","eLxqMNBOBk","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","9HNa5Wba9A","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7597","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=7597, right_input=4323, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11920","layer":3},{"info":"compute unary expreesion, input=-11920, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-11920","layer":2},{"info":"number node, value=3961","layer":4},{"info":"number node, value=2251","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=2251, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=541","layer":3},{"info":"number node, value=2545","layer":4},{"info":"compute unary expreesion, input=2545, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=541, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=541","layer":2},{"info":"compute binary expreesion, left_input=-11920, right_input=541, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-12461","layer":1},{"info":"number node, value=1766","layer":4},{"info":"compute unary expreesion, input=1766, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1766","layer":3},{"info":"number node, value=1891","layer":4},{"info":"number node, value=6477","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=6477, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1766, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2147","layer":4},{"info":"number node, value=5425","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=5425, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-12461, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉(∃⊬1DAD⪒∃⊬10E3))-(∃⊬F79⋷∃⊬8CB)⨟⋌⩍(∃⊬9F1⊘)/((-∃⊬6E6)-∃⊬763⨐⩸⫘∃⊬194D)⨎(⫓⪴(∃⊬863+⇶⊼∃⊬1531))=NaN","reverse_text":"NaN=(≉(∃⊬1DAD⪒∃⊬10E3))-(∃⊬F79⋷∃⊬8CB)⨟⋌⩍(∃⊬9F1⊘)/((-∃⊬6E6)-∃⊬763⨐⩸⫘∃⊬194D)⨎(⫓⪴(∃⊬863+⇶⊼∃⊬1531))","cot":[{"info":"∃⊬1DAD⪒∃⊬10E3=∃⊬-2E90","layer":3},{"info":"≉∃⊬-2E90=∃⊬-2E90","layer":2},{"info":"∃⊬F79⋷∃⊬8CB=∃⊬21D","layer":3},{"info":"∃⊬9F1⊘=∃⊬0","layer":3},{"info":"∃⊬21D⨟⋌⩍∃⊬0=∃⊬21D","layer":2},{"info":"∃⊬-2E90-∃⊬21D=∃⊬-30AD","layer":1},{"info":"-∃⊬6E6=∃⊬-6E6","layer":3},{"info":"∃⊬763⨐⩸⫘∃⊬194D=NaN","layer":3},{"info":"∃⊬-6E6-NaN=NaN","layer":2},{"info":"∃⊬863+⇶⊼∃⊬1531=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"∃⊬-30AD/NaN=NaN","layer":0}]}
{"id":226,"expression_no_base_symbol":"((-$1169$)⫸⊐(⨑⩽⪐$1145$))↙(+⊝⨔($5261$+$3393$))+(≦∁(⨈⫕(↯⪼$2183$)))","expression":"((-∃⊬491)⫸⊐(⨑⩽⪐∃⊬479))↙(+⊝⨔(∃⊬148D+∃⊬D41))+(≦∁(⨈⫕(↯⪼∃⊬887)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2020,"operation_count":10,"complexity_ratio":202.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1169,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1145,"base":16}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5261,"base":16},"right_expr":{"type":"numeric_atoms","value":3393,"base":16}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2183,"base":16}}}}},"used_operators":["W4YGzv6Whe","yyfyN0ffXY","mqXw5SEYmG","t8gj7n24qd","AF7qkfDlqP","DhbWaqg5eL","9ICcGScMcE","megm06wKyl","8jW3W4yZS5"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-121C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1169","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-872","layer":3},{"info":"compute binary expreesion, left_input=-1169, right_input=-872, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=5261","layer":4},{"info":"number node, value=3393","layer":4},{"info":"compute binary expreesion, left_input=5261, right_input=3393, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8654","layer":3},{"info":"compute unary expreesion, input=8654, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4566","layer":1},{"info":"number node, value=2183","layer":4},{"info":"compute unary expreesion, input=2183, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":1},{"info":"compute binary expreesion, left_input=-4566, right_input=-70, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-4636","layer":0}],"base":16,"result_base":16,"text":"((-∃⊬491)⫸⊐(⨑⩽⪐∃⊬479))↙(+⊝⨔(∃⊬148D+∃⊬D41))+(≦∁(⨈⫕(↯⪼∃⊬887)))=∃⊬-121C","reverse_text":"∃⊬-121C=((-∃⊬491)⫸⊐(⨑⩽⪐∃⊬479))↙(+⊝⨔(∃⊬148D+∃⊬D41))+(≦∁(⨈⫕(↯⪼∃⊬887)))","cot":[{"info":"-∃⊬491=∃⊬-491","layer":3},{"info":"⨑⩽⪐∃⊬479=∃⊬-368","layer":3},{"info":"∃⊬-491⫸⊐∃⊬-368=∃⊬3C8","layer":2},{"info":"∃⊬148D+∃⊬D41=∃⊬21CE","layer":3},{"info":"+⊝⨔∃⊬21CE=∃⊬5F2","layer":2},{"info":"∃⊬3C8↙∃⊬5F2=∃⊬-11D6","layer":1},{"info":"↯⪼∃⊬887=∃⊬-15","layer":3},{"info":"⨈⫕∃⊬-15=∃⊬-15","layer":2},{"info":"≦∁∃⊬-15=∃⊬-46","layer":1},{"info":"∃⊬-11D6+∃⊬-46=∃⊬-121C","layer":0}]}
{"id":227,"expression_no_base_symbol":"(⨑⩽⪐((∥⊫$5657$)⨸⪁(∂$4559$)))⩷∴((⋗⩬⋾(⫓⪴$5699$))⋓($1109$⨐⩸⫘$4219$)⊴($2236$⨽$1310$))","expression":"(⨑⩽⪐((∥⊫∃⊬1619)⨸⪁(∂∃⊬11CF)))⩷∴((⋗⩬⋾(⫓⪴∃⊬1643))⋓(∃⊬455⨐⩸⫘∃⊬107B)⊴(∃⊬8BC⨽∃⊬51E))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7989,"operation_count":11,"complexity_ratio":726.2727272727273,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5657,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4559,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5699,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1109,"base":16},"right_expr":{"type":"numeric_atoms","value":4219,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2236,"base":16},"right_expr":{"type":"numeric_atoms","value":1310,"base":16}}}}},"used_operators":["9FxExcQeMw","AF7qkfDlqP","g55IO6H4Gj","P8v4zCKN1o","Uaa54Peajs","T2fj7uvVaJ","DpFCA1CohY","eLxqMNBOBk","Nsiff2A1zJ","fu6greOZ01","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5657","layer":4},{"info":"compute unary expreesion, input=5657, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6525","layer":3},{"info":"number node, value=4559","layer":4},{"info":"compute unary expreesion, input=4559, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6525, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"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":1},{"info":"number node, value=5699","layer":4},{"info":"compute unary expreesion, input=5699, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32478601","layer":3},{"info":"compute unary expreesion, input=32478601, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-97435803","layer":2},{"info":"number node, value=1109","layer":4},{"info":"number node, value=4219","layer":4},{"info":"compute binary expreesion, left_input=1109, right_input=4219, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2236","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=1310, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15001704","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15001704, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-97435803, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐((∥⊫∃⊬1619)⨸⪁(∂∃⊬11CF)))⩷∴((⋗⩬⋾(⫓⪴∃⊬1643))⋓(∃⊬455⨐⩸⫘∃⊬107B)⊴(∃⊬8BC⨽∃⊬51E))=NaN","reverse_text":"NaN=(⨑⩽⪐((∥⊫∃⊬1619)⨸⪁(∂∃⊬11CF)))⩷∴((⋗⩬⋾(⫓⪴∃⊬1643))⋓(∃⊬455⨐⩸⫘∃⊬107B)⊴(∃⊬8BC⨽∃⊬51E))","cot":[{"info":"∥⊫∃⊬1619=∃⊬197D","layer":3},{"info":"∂∃⊬11CF=NaN","layer":3},{"info":"∃⊬197D⨸⪁NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"⫓⪴∃⊬1643=∃⊬1EF9589","layer":3},{"info":"⋗⩬⋾∃⊬1EF9589=∃⊬-5CEC09B","layer":2},{"info":"∃⊬455⨐⩸⫘∃⊬107B=NaN","layer":3},{"info":"∃⊬8BC⨽∃⊬51E=∃⊬-E4E868","layer":3},{"info":"NaN⊴∃⊬-E4E868=NaN","layer":2},{"info":"∃⊬-5CEC09B⋓NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":228,"expression_no_base_symbol":"⋗⩬⋾(($4465$∑⇟⊟$1556$)⇷($2162$⋥≓≎$2684$)⪨≂(⨞⊢($2214$⨳⩥⨓$1010$)))","expression":"⋗⩬⋾((∃⊬1171∑⇟⊟∃⊬614)⇷(∃⊬872⋥≓≎∃⊬A7C)⪨≂(⨞⊢(∃⊬8A6⨳⩥⨓∃⊬3F2)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":25,"operation_count":7,"complexity_ratio":3.5714285714285716,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4465,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2162,"base":16},"right_expr":{"type":"numeric_atoms","value":2684,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2214,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}}}},"used_operators":["DpFCA1CohY","sdazOOVcIp","mp7IySMOzn","U7g4x0WXJJ","Qy55tPpLXF","xUOZtlo3hN","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬-80E2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4465","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=4465, right_input=1556, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2162","layer":4},{"info":"number node, value=2684","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=2684, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3239","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3239, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6478","layer":2},{"info":"number node, value=2214","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=2214, right_input=1010, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1204","layer":3},{"info":"compute unary expreesion, input=-1204, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=1030","layer":2},{"info":"compute binary expreesion, left_input=6478, right_input=1030, 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=10998","layer":1},{"info":"compute unary expreesion, input=10998, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-32994","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾((∃⊬1171∑⇟⊟∃⊬614)⇷(∃⊬872⋥≓≎∃⊬A7C)⪨≂(⨞⊢(∃⊬8A6⨳⩥⨓∃⊬3F2)))=∃⊬-80E2","reverse_text":"∃⊬-80E2=⋗⩬⋾((∃⊬1171∑⇟⊟∃⊬614)⇷(∃⊬872⋥≓≎∃⊬A7C)⪨≂(⨞⊢(∃⊬8A6⨳⩥⨓∃⊬3F2)))","cot":[{"info":"∃⊬1171∑⇟⊟∃⊬614=NaN","layer":3},{"info":"∃⊬872⋥≓≎∃⊬A7C=∃⊬CA7","layer":3},{"info":"NaN⇷∃⊬CA7=∃⊬194E","layer":2},{"info":"∃⊬8A6⨳⩥⨓∃⊬3F2=∃⊬-4B4","layer":3},{"info":"⨞⊢∃⊬-4B4=∃⊬406","layer":2},{"info":"∃⊬194E⪨≂∃⊬406=∃⊬2AF6","layer":1},{"info":"⋗⩬⋾∃⊬2AF6=∃⊬-80E2","layer":0}]}
{"id":229,"expression_no_base_symbol":"($3822$⋝⋈⪟$1006$↺($2798$/$1343$)↪⪝)%($3303$*$3999$)⇷($1635$⫌⩹⨱)⫥∨⫟($4468$≭$5249$)⩷∴($1002$⊭↱$6981$)","expression":"(∃⊬EEE⋝⋈⪟∃⊬3EE↺(∃⊬AEE/∃⊬53F)↪⪝)%(∃⊬CE7*∃⊬F9F)⇷(∃⊬663⫌⩹⨱)⫥∨⫟(∃⊬1174≭∃⊬1481)⩷∴(∃⊬3EA⊭↱∃⊬1B45)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3600,"operation_count":12,"complexity_ratio":300.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3822,"base":16},"right_expr":{"type":"numeric_atoms","value":1006,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2798,"base":16},"right_expr":{"type":"numeric_atoms","value":1343,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3303,"base":16},"right_expr":{"type":"numeric_atoms","value":3999,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1635,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4468,"base":16},"right_expr":{"type":"numeric_atoms","value":5249,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":6981,"base":16}}}}},"used_operators":["k8jYdgA6NY","l07mrZUIn9","7j4O788W3g","2DDjHMKMc0","XhwjNDsVaA","KYD54nUTWz","mp7IySMOzn","9HNa5Wba9A","EBcxylXtPf","9FxExcQeMw","rxpJgHHUmx","COABgblf1C"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3822","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=1006, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3822","layer":3},{"info":"number node, value=2798","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=2798, right_input=1343, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=3822, right_input=2, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2","layer":2},{"info":"compute unary expreesion, input=2, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=122364","layer":1},{"info":"number node, value=3303","layer":4},{"info":"number node, value=3999","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=3999, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13208697","layer":3},{"info":"number node, value=1635","layer":4},{"info":"compute unary expreesion, input=1635, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4671","layer":3},{"info":"compute binary expreesion, left_input=13208697, right_input=4671, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=9342","layer":2},{"info":"number node, value=4468","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=4468, right_input=5249, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1002","layer":4},{"info":"number node, value=6981","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=6981, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11963","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11963, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9342, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=122364, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬EEE⋝⋈⪟∃⊬3EE↺(∃⊬AEE/∃⊬53F)↪⪝)%(∃⊬CE7*∃⊬F9F)⇷(∃⊬663⫌⩹⨱)⫥∨⫟(∃⊬1174≭∃⊬1481)⩷∴(∃⊬3EA⊭↱∃⊬1B45)=NaN","reverse_text":"NaN=(∃⊬EEE⋝⋈⪟∃⊬3EE↺(∃⊬AEE/∃⊬53F)↪⪝)%(∃⊬CE7*∃⊬F9F)⇷(∃⊬663⫌⩹⨱)⫥∨⫟(∃⊬1174≭∃⊬1481)⩷∴(∃⊬3EA⊭↱∃⊬1B45)","cot":[{"info":"∃⊬EEE⋝⋈⪟∃⊬3EE=∃⊬EEE","layer":3},{"info":"∃⊬AEE/∃⊬53F=∃⊬2","layer":3},{"info":"∃⊬EEE↺∃⊬2=∃⊬2","layer":2},{"info":"∃⊬2↪⪝=∃⊬1DDFC","layer":1},{"info":"∃⊬CE7*∃⊬F9F=∃⊬C98C79","layer":3},{"info":"∃⊬663⫌⩹⨱=∃⊬123F","layer":3},{"info":"∃⊬C98C79⇷∃⊬123F=∃⊬247E","layer":2},{"info":"∃⊬1174≭∃⊬1481=NaN","layer":3},{"info":"∃⊬3EA⊭↱∃⊬1B45=∃⊬2EBB","layer":3},{"info":"NaN⩷∴∃⊬2EBB=NaN","layer":2},{"info":"∃⊬247E⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬1DDFC%NaN=NaN","layer":0}]}
{"id":230,"expression_no_base_symbol":"((($1268$⫸⊐$5723$)≦≮≮)-$1307$⨟⋌⩍$1398$∀⇚≩$1451$⪮%⊝$1725$)⫥∨⫟(⊙↵-(($5227$+$2373$)⨳⩥⨓($1577$⩤)))","expression":"(((∃⊬4F4⫸⊐∃⊬165B)≦≮≮)-∃⊬51B⨟⋌⩍∃⊬576∀⇚≩∃⊬5AB⪮%⊝∃⊬6BD)⫥∨⫟(⊙↵-((∃⊬146B+∃⊬945)⨳⩥⨓(∃⊬629⩤)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9407,"operation_count":11,"complexity_ratio":855.1818181818181,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1268,"base":16},"right_expr":{"type":"numeric_atoms","value":5723,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1307,"base":16},"right_expr":{"type":"numeric_atoms","value":1398,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1451,"base":16},"right_expr":{"type":"numeric_atoms","value":1725,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5227,"base":16},"right_expr":{"type":"numeric_atoms","value":2373,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1577,"base":16}}}}},"used_operators":["KYD54nUTWz","rysDP5nf3Z","D4vGDi5EA2","mqXw5SEYmG","LRNGc0VcxI","rGHVDoGpnC","IWmyXbctLI","oWn0xqSxBt","nCS4ZIUYfx","W4YGzv6Whe","Z2TMIBDE3Q"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","Tcnh7f0tEr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1268","layer":4},{"info":"number node, value=5723","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=5723, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=22767","layer":3},{"info":"compute unary expreesion, input=22767, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-68301","layer":2},{"info":"number node, value=1307","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=1398, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1451","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1725, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3218, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-68301, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5227","layer":4},{"info":"number node, value=2373","layer":4},{"info":"compute binary expreesion, left_input=5227, right_input=2373, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7600","layer":3},{"info":"number node, value=1577","layer":4},{"info":"compute unary expreesion, input=1577, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1577","layer":3},{"info":"compute binary expreesion, left_input=7600, right_input=-1577, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9177","layer":2},{"info":"compute unary expreesion, input=-9177, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬4F4⫸⊐∃⊬165B)≦≮≮)-∃⊬51B⨟⋌⩍∃⊬576∀⇚≩∃⊬5AB⪮%⊝∃⊬6BD)⫥∨⫟(⊙↵-((∃⊬146B+∃⊬945)⨳⩥⨓(∃⊬629⩤)))=NaN","reverse_text":"NaN=(((∃⊬4F4⫸⊐∃⊬165B)≦≮≮)-∃⊬51B⨟⋌⩍∃⊬576∀⇚≩∃⊬5AB⪮%⊝∃⊬6BD)⫥∨⫟(⊙↵-((∃⊬146B+∃⊬945)⨳⩥⨓(∃⊬629⩤)))","cot":[{"info":"∃⊬4F4⫸⊐∃⊬165B=∃⊬58EF","layer":3},{"info":"∃⊬58EF≦≮≮=∃⊬-10ACD","layer":2},{"info":"∃⊬51B⨟⋌⩍∃⊬576=NaN","layer":3},{"info":"∃⊬5AB⪮%⊝∃⊬6BD=∃⊬C92","layer":3},{"info":"NaN∀⇚≩∃⊬C92=NaN","layer":2},{"info":"∃⊬-10ACD-NaN=NaN","layer":1},{"info":"∃⊬146B+∃⊬945=∃⊬1DB0","layer":3},{"info":"∃⊬629⩤=∃⊬-629","layer":3},{"info":"∃⊬1DB0⨳⩥⨓∃⊬-629=∃⊬-23D9","layer":2},{"info":"⊙↵-∃⊬-23D9=∃⊬C4","layer":1},{"info":"NaN⫥∨⫟∃⊬C4=NaN","layer":0}]}
{"id":231,"expression_no_base_symbol":"(+⊝⨔((≦∁$8884$)⨳⩥⨓($1991$↛⩡⫤)))⫸⊐(⊄⩳↩($2006$⋷$3727$)⨟⋌⩍(↔$5735$))","expression":"(+⊝⨔((≦∁∃⊬22B4)⨳⩥⨓(∃⊬7C7↛⩡⫤)))⫸⊐(⊄⩳↩(∃⊬7D6⋷∃⊬E8F)⨟⋌⩍(↔∃⊬1667))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6167,"operation_count":9,"complexity_ratio":685.2222222222222,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8884,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1991,"base":16}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2006,"base":16},"right_expr":{"type":"numeric_atoms","value":3727,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5735,"base":16}}}}},"used_operators":["mqXw5SEYmG","DhbWaqg5eL","nCS4ZIUYfx","9ICcGScMcE","FU0Cs4j7VP","8w2t5hMYqp","rGHVDoGpnC","23Mk6UjR3U","ruOEQAzv1W"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","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=8884","layer":4},{"info":"compute unary expreesion, input=8884, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8884","layer":3},{"info":"number node, value=1991","layer":4},{"info":"compute unary expreesion, input=1991, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-296730","layer":3},{"info":"compute binary expreesion, left_input=8884, right_input=-296730, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-305614","layer":2},{"info":"compute unary expreesion, input=-305614, 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=2006","layer":4},{"info":"number node, value=3727","layer":4},{"info":"compute binary expreesion, left_input=2006, right_input=3727, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5448","layer":3},{"info":"number node, value=5735","layer":4},{"info":"compute unary expreesion, input=5735, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5462","layer":3},{"info":"compute binary expreesion, left_input=5448, right_input=-5462, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, 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":"(+⊝⨔((≦∁∃⊬22B4)⨳⩥⨓(∃⊬7C7↛⩡⫤)))⫸⊐(⊄⩳↩(∃⊬7D6⋷∃⊬E8F)⨟⋌⩍(↔∃⊬1667))=NaN","reverse_text":"NaN=(+⊝⨔((≦∁∃⊬22B4)⨳⩥⨓(∃⊬7C7↛⩡⫤)))⫸⊐(⊄⩳↩(∃⊬7D6⋷∃⊬E8F)⨟⋌⩍(↔∃⊬1667))","cot":[{"info":"≦∁∃⊬22B4=∃⊬22B4","layer":3},{"info":"∃⊬7C7↛⩡⫤=∃⊬-4871A","layer":3},{"info":"∃⊬22B4⨳⩥⨓∃⊬-4871A=∃⊬-4A9CE","layer":2},{"info":"+⊝⨔∃⊬-4A9CE=∃⊬5F2","layer":1},{"info":"∃⊬7D6⋷∃⊬E8F=∃⊬1548","layer":3},{"info":"↔∃⊬1667=∃⊬-1556","layer":3},{"info":"∃⊬1548⨟⋌⩍∃⊬-1556=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∃⊬5F2⫸⊐NaN=NaN","layer":0}]}
{"id":232,"expression_no_base_symbol":"((+⊝⨔$6631$)≭($3513$+$2104$)⫡⨏($1427$⇋≉)∼$8880$⨟⋌⩍$2853$)⪢(($8180$≧⫂∧$1063$)⨟⋌⩍($1026$⩨$1075$)⨵⪆$4532$⊉≛↸$4211$⊉≛↸$8646$∼$7255$)","expression":"((+⊝⨔∃⊬19E7)≭(∃⊬DB9+∃⊬838)⫡⨏(∃⊬593⇋≉)∼∃⊬22B0⨟⋌⩍∃⊬B25)⪢((∃⊬1FF4≧⫂∧∃⊬427)⨟⋌⩍(∃⊬402⩨∃⊬433)⨵⪆∃⊬11B4⊉≛↸∃⊬1073⊉≛↸∃⊬21C6∼∃⊬1C57)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":972,"operation_count":15,"complexity_ratio":64.8,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6631,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3513,"base":16},"right_expr":{"type":"numeric_atoms","value":2104,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1427,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8880,"base":16},"right_expr":{"type":"numeric_atoms","value":2853,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8180,"base":16},"right_expr":{"type":"numeric_atoms","value":1063,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":1075,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4532,"base":16},"right_expr":{"type":"numeric_atoms","value":4211,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8646,"base":16},"right_expr":{"type":"numeric_atoms","value":7255,"base":16}}}}},"used_operators":["dWAJyo7jo9","QMFrweE19q","rxpJgHHUmx","DhbWaqg5eL","W4YGzv6Whe","DyGG3AbaNP","XIabStNQrY","rGHVDoGpnC","2DQ55sFlQl","Ph9nP6C5qx","2DlMacCsIx","DZ8iAZOCBD"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6631","layer":4},{"info":"compute unary expreesion, input=6631, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3513","layer":4},{"info":"number node, value=2104","layer":4},{"info":"compute binary expreesion, left_input=3513, right_input=2104, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5617","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=5617, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1427","layer":4},{"info":"compute unary expreesion, input=1427, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2756","layer":3},{"info":"number node, value=8880","layer":4},{"info":"number node, value=2853","layer":4},{"info":"compute binary expreesion, left_input=8880, right_input=2853, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2756, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=8180","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=8180, right_input=1063, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=590","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1075, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=590, right_input=-3, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=4532","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=4532, right_input=4211, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9064","layer":3},{"info":"number node, value=8646","layer":4},{"info":"number node, value=7255","layer":4},{"info":"compute binary expreesion, left_input=8646, right_input=7255, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9064, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=18128","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18128, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 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":"((+⊝⨔∃⊬19E7)≭(∃⊬DB9+∃⊬838)⫡⨏(∃⊬593⇋≉)∼∃⊬22B0⨟⋌⩍∃⊬B25)⪢((∃⊬1FF4≧⫂∧∃⊬427)⨟⋌⩍(∃⊬402⩨∃⊬433)⨵⪆∃⊬11B4⊉≛↸∃⊬1073⊉≛↸∃⊬21C6∼∃⊬1C57)=NaN","reverse_text":"NaN=((+⊝⨔∃⊬19E7)≭(∃⊬DB9+∃⊬838)⫡⨏(∃⊬593⇋≉)∼∃⊬22B0⨟⋌⩍∃⊬B25)⪢((∃⊬1FF4≧⫂∧∃⊬427)⨟⋌⩍(∃⊬402⩨∃⊬433)⨵⪆∃⊬11B4⊉≛↸∃⊬1073⊉≛↸∃⊬21C6∼∃⊬1C57)","cot":[{"info":"+⊝⨔∃⊬19E7=∃⊬5F2","layer":3},{"info":"∃⊬DB9+∃⊬838=∃⊬15F1","layer":3},{"info":"∃⊬5F2≭∃⊬15F1=NaN","layer":2},{"info":"∃⊬593⇋≉=∃⊬AC4","layer":3},{"info":"∃⊬22B0⨟⋌⩍∃⊬B25=NaN","layer":3},{"info":"∃⊬AC4∼NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"∃⊬1FF4≧⫂∧∃⊬427=∃⊬24E","layer":3},{"info":"∃⊬402⩨∃⊬433=∃⊬-3","layer":3},{"info":"∃⊬24E⨟⋌⩍∃⊬-3=∃⊬0","layer":2},{"info":"∃⊬11B4⊉≛↸∃⊬1073=∃⊬2368","layer":3},{"info":"∃⊬21C6∼∃⊬1C57=NaN","layer":3},{"info":"∃⊬2368⊉≛↸NaN=∃⊬46D0","layer":2},{"info":"∃⊬0⨵⪆∃⊬46D0=∃⊬A0","layer":1},{"info":"NaN⪢∃⊬A0=NaN","layer":0}]}
{"id":233,"expression_no_base_symbol":"($7864$↪⪝)⪛($2058$*$4484$)∼((⊄⩳↩$3061$)⨳⩥⨓(⫛⫱⨽$1378$))⪘⫢((⨞⊢$4105$)+⇶⊼$1071$⪮%⊝$2147$↛⩡⫤)","expression":"(∃⊬1EB8↪⪝)⪛(∃⊬80A*∃⊬1184)∼((⊄⩳↩∃⊬BF5)⨳⩥⨓(⫛⫱⨽∃⊬562))⪘⫢((⨞⊢∃⊬1009)+⇶⊼∃⊬42F⪮%⊝∃⊬863↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":29336,"operation_count":12,"complexity_ratio":2444.6666666666665,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7864,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2058,"base":16},"right_expr":{"type":"numeric_atoms","value":4484,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3061,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1378,"base":16}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":4105,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1071,"base":16},"right_expr":{"type":"numeric_atoms","value":2147,"base":16}}}}},"used_operators":["oacrs7FA3X","DyGG3AbaNP","uFcxV4UQCh","l07mrZUIn9","9HNa5Wba9A","nCS4ZIUYfx","8w2t5hMYqp","DlLNRPXxWL","FU0Cs4j7VP","TpPTUOHfaN","xUOZtlo3hN","IWmyXbctLI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7864","layer":4},{"info":"compute unary expreesion, input=7864, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=481135248","layer":3},{"info":"number node, value=2058","layer":4},{"info":"number node, value=4484","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=4484, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9228072","layer":3},{"info":"compute binary expreesion, left_input=481135248, right_input=9228072, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1275504","layer":2},{"info":"number node, value=3061","layer":4},{"info":"compute unary expreesion, input=3061, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9183","layer":3},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-9183, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=9183","layer":2},{"info":"compute binary expreesion, left_input=1275504, right_input=9183, 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=4105","layer":4},{"info":"compute unary expreesion, input=4105, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4279","layer":3},{"info":"number node, value=1071","layer":4},{"info":"number node, value=2147","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=2147, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2458","layer":3},{"info":"compute binary expreesion, left_input=-4279, right_input=2458, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1EB8↪⪝)⪛(∃⊬80A*∃⊬1184)∼((⊄⩳↩∃⊬BF5)⨳⩥⨓(⫛⫱⨽∃⊬562))⪘⫢((⨞⊢∃⊬1009)+⇶⊼∃⊬42F⪮%⊝∃⊬863↛⩡⫤)=NaN","reverse_text":"NaN=(∃⊬1EB8↪⪝)⪛(∃⊬80A*∃⊬1184)∼((⊄⩳↩∃⊬BF5)⨳⩥⨓(⫛⫱⨽∃⊬562))⪘⫢((⨞⊢∃⊬1009)+⇶⊼∃⊬42F⪮%⊝∃⊬863↛⩡⫤)","cot":[{"info":"∃⊬1EB8↪⪝=∃⊬1CAD8A90","layer":3},{"info":"∃⊬80A*∃⊬1184=∃⊬8CCF28","layer":3},{"info":"∃⊬1CAD8A90⪛∃⊬8CCF28=∃⊬137670","layer":2},{"info":"⊄⩳↩∃⊬BF5=∃⊬-23DF","layer":3},{"info":"⫛⫱⨽∃⊬562=∃⊬0","layer":3},{"info":"∃⊬-23DF⨳⩥⨓∃⊬0=∃⊬23DF","layer":2},{"info":"∃⊬137670∼∃⊬23DF=NaN","layer":1},{"info":"⨞⊢∃⊬1009=∃⊬-10B7","layer":3},{"info":"∃⊬42F⪮%⊝∃⊬863=∃⊬99A","layer":3},{"info":"∃⊬-10B7+⇶⊼∃⊬99A=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":234,"expression_no_base_symbol":"∂((⩦⩻⨪$4035$)⊭↱(∂$2372$))≹⇙⪍(($2144$⨳⩥⨓$1113$)⪢$1251$⨟⋌⩍$6725$)","expression":"∂((⩦⩻⨪∃⊬FC3)⊭↱(∂∃⊬944))≹⇙⪍((∃⊬860⨳⩥⨓∃⊬459)⪢∃⊬4E3⨟⋌⩍∃⊬1A45)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4035,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2372,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":1113,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1251,"base":16},"right_expr":{"type":"numeric_atoms","value":6725,"base":16}}}}},"used_operators":["Uaa54Peajs","AHs5Up7iyr","COABgblf1C","2td37pGCOC","dWAJyo7jo9","nCS4ZIUYfx","rGHVDoGpnC"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"compute unary expreesion, input=4035, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4035","layer":3},{"info":"number node, value=2372","layer":4},{"info":"compute unary expreesion, input=2372, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4035, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1113","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1113, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1031","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=6725","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=6725, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1031, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute 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":"∂((⩦⩻⨪∃⊬FC3)⊭↱(∂∃⊬944))≹⇙⪍((∃⊬860⨳⩥⨓∃⊬459)⪢∃⊬4E3⨟⋌⩍∃⊬1A45)=NaN","reverse_text":"NaN=∂((⩦⩻⨪∃⊬FC3)⊭↱(∂∃⊬944))≹⇙⪍((∃⊬860⨳⩥⨓∃⊬459)⪢∃⊬4E3⨟⋌⩍∃⊬1A45)","cot":[{"info":"⩦⩻⨪∃⊬FC3=∃⊬FC3","layer":3},{"info":"∂∃⊬944=NaN","layer":3},{"info":"∃⊬FC3⊭↱NaN=NaN","layer":2},{"info":"∃⊬860⨳⩥⨓∃⊬459=∃⊬-407","layer":3},{"info":"∃⊬4E3⨟⋌⩍∃⊬1A45=NaN","layer":3},{"info":"∃⊬-407⪢NaN=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":235,"expression_no_base_symbol":"∥⊫(($1448$⪠⩆⊳)⊭↱(⫓⪴$4639$)↪⪝)","expression":"∥⊫((∃⊬5A8⪠⩆⊳)⊭↱(⫓⪴∃⊬121F)↪⪝)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5253,"operation_count":5,"complexity_ratio":1050.6,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1448,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4639,"base":16}}}}},"used_operators":["P8v4zCKN1o","l07mrZUIn9","COABgblf1C","JLbD19bQDL","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1448","layer":4},{"info":"compute unary expreesion, input=1448, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=4639","layer":4},{"info":"compute unary expreesion, input=4639, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=21520321","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=21520321, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=43040647","layer":2},{"info":"compute unary expreesion, input=43040647, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=inf","layer":0}],"base":16,"result_base":16,"text":"∥⊫((∃⊬5A8⪠⩆⊳)⊭↱(⫓⪴∃⊬121F)↪⪝)=Inf","reverse_text":"Inf=∥⊫((∃⊬5A8⪠⩆⊳)⊭↱(⫓⪴∃⊬121F)↪⪝)","cot":[{"info":"∃⊬5A8⪠⩆⊳=∃⊬0","layer":3},{"info":"⫓⪴∃⊬121F=∃⊬1485FC1","layer":3},{"info":"∃⊬0⊭↱∃⊬1485FC1=∃⊬290BF87","layer":2},{"info":"∃⊬290BF87↪⪝=Inf","layer":1},{"info":"∥⊫Inf=Inf","layer":0}]}
{"id":236,"expression_no_base_symbol":"↣≠⋷(($2342$+$1008$)⫥∨⫟$4523$∑⇟⊟$1406$)≹⇙⪍((↯⪼$6808$)⊴($1160$⫡⨏$1440$))","expression":"↣≠⋷((∃⊬926+∃⊬3F0)⫥∨⫟∃⊬11AB∑⇟⊟∃⊬57E)≹⇙⪍((↯⪼∃⊬1A98)⊴(∃⊬488⫡⨏∃⊬5A0))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9680,"operation_count":8,"complexity_ratio":1210.0,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2342,"base":16},"right_expr":{"type":"numeric_atoms","value":1008,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4523,"base":16},"right_expr":{"type":"numeric_atoms","value":1406,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6808,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1160,"base":16},"right_expr":{"type":"numeric_atoms","value":1440,"base":16}}}}},"used_operators":["Asc51vEJeQ","AHs5Up7iyr","KYD54nUTWz","W4YGzv6Whe","U7g4x0WXJJ","Nsiff2A1zJ","8jW3W4yZS5","QMFrweE19q"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2342","layer":4},{"info":"number node, value=1008","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1008, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3350","layer":3},{"info":"number node, value=4523","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=4523, right_input=1406, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3350, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6808","layer":4},{"info":"compute unary expreesion, input=6808, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1160","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=1160, right_input=1440, 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=9463","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9463, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷((∃⊬926+∃⊬3F0)⫥∨⫟∃⊬11AB∑⇟⊟∃⊬57E)≹⇙⪍((↯⪼∃⊬1A98)⊴(∃⊬488⫡⨏∃⊬5A0))=NaN","reverse_text":"NaN=↣≠⋷((∃⊬926+∃⊬3F0)⫥∨⫟∃⊬11AB∑⇟⊟∃⊬57E)≹⇙⪍((↯⪼∃⊬1A98)⊴(∃⊬488⫡⨏∃⊬5A0))","cot":[{"info":"∃⊬926+∃⊬3F0=∃⊬D16","layer":3},{"info":"∃⊬11AB∑⇟⊟∃⊬57E=NaN","layer":3},{"info":"∃⊬D16⫥∨⫟NaN=NaN","layer":2},{"info":"↯⪼∃⊬1A98=∃⊬-15","layer":3},{"info":"∃⊬488⫡⨏∃⊬5A0=∃⊬24F7","layer":3},{"info":"∃⊬-15⊴∃⊬24F7=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":237,"expression_no_base_symbol":"↩($1686$⋳⪒$1964$⊘)⨐⩸⫘(⋗⩬⋾(∥⊫$3348$))","expression":"↩(∃⊬696⋳⪒∃⊬7AC⊘)⨐⩸⫘(⋗⩬⋾(∥⊫∃⊬D14))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":53,"operation_count":6,"complexity_ratio":8.833333333333334,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1686,"base":16},"right_expr":{"type":"numeric_atoms","value":1964,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3348,"base":16}}}}},"used_operators":["jLgFTUHLKL","fu6greOZ01","gu96TGCTMs","12rbrZMWeM","DpFCA1CohY","P8v4zCKN1o"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"number node, value=1964","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1964, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1121","layer":3},{"info":"compute unary expreesion, input=1121, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=3348","layer":4},{"info":"compute unary expreesion, input=3348, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4216","layer":3},{"info":"compute unary expreesion, input=4216, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12648","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-12648, 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 = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↩(∃⊬696⋳⪒∃⊬7AC⊘)⨐⩸⫘(⋗⩬⋾(∥⊫∃⊬D14))=NaN","reverse_text":"NaN=↩(∃⊬696⋳⪒∃⊬7AC⊘)⨐⩸⫘(⋗⩬⋾(∥⊫∃⊬D14))","cot":[{"info":"∃⊬696⋳⪒∃⊬7AC=∃⊬461","layer":3},{"info":"∃⊬461⊘=∃⊬0","layer":2},{"info":"∥⊫∃⊬D14=∃⊬1078","layer":3},{"info":"⋗⩬⋾∃⊬1078=∃⊬-3168","layer":2},{"info":"∃⊬0⨐⩸⫘∃⊬-3168=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":238,"expression_no_base_symbol":"↥($1316$⪛$3471$⋓(-$3026$))∼($8378$∼$1775$∼($4372$⩤))","expression":"↥(∃⊬524⪛∃⊬D8F⋓(-∃⊬BD2))∼(∃⊬20BA∼∃⊬6EF∼(∃⊬1114⩤))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":192,"operation_count":8,"complexity_ratio":24.0,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1316,"base":16},"right_expr":{"type":"numeric_atoms","value":3471,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3026,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8378,"base":16},"right_expr":{"type":"numeric_atoms","value":1775,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4372,"base":16}}}}},"used_operators":["A8NUZmVepG","DyGG3AbaNP","T2fj7uvVaJ","uFcxV4UQCh","t8gj7n24qd","Z2TMIBDE3Q"],"dependent_operators":["k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1316","layer":4},{"info":"number node, value=3471","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=3471, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1316","layer":3},{"info":"number node, value=3026","layer":4},{"info":"compute unary expreesion, input=3026, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3026","layer":3},{"info":"compute binary expreesion, left_input=1316, right_input=-3026, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=8378","layer":4},{"info":"number node, value=1775","layer":4},{"info":"compute binary expreesion, left_input=8378, right_input=1775, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=4372","layer":4},{"info":"compute unary expreesion, input=4372, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4372","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4372, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":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":"↥(∃⊬524⪛∃⊬D8F⋓(-∃⊬BD2))∼(∃⊬20BA∼∃⊬6EF∼(∃⊬1114⩤))=NaN","reverse_text":"NaN=↥(∃⊬524⪛∃⊬D8F⋓(-∃⊬BD2))∼(∃⊬20BA∼∃⊬6EF∼(∃⊬1114⩤))","cot":[{"info":"∃⊬524⪛∃⊬D8F=∃⊬524","layer":3},{"info":"-∃⊬BD2=∃⊬-BD2","layer":3},{"info":"∃⊬524⋓∃⊬-BD2=∃⊬0","layer":2},{"info":"∃⊬20BA∼∃⊬6EF=NaN","layer":3},{"info":"∃⊬1114⩤=∃⊬-1114","layer":3},{"info":"NaN∼∃⊬-1114=NaN","layer":2},{"info":"∃⊬0∼NaN=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":239,"expression_no_base_symbol":"(⊥($2131$⨟⋌⩍$2871$⇋≉))∼((⊄⩳↩(⇁⨣⪵$3724$))⨐⩸⫘($1686$∀⇚≩$9124$)⪮%⊝$6494$⨟⋌⩍$1638$)","expression":"(⊥(∃⊬853⨟⋌⩍∃⊬B37⇋≉))∼((⊄⩳↩(⇁⨣⪵∃⊬E8C))⨐⩸⫘(∃⊬696∀⇚≩∃⊬23A4)⪮%⊝∃⊬195E⨟⋌⩍∃⊬666)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":11825,"operation_count":10,"complexity_ratio":1182.5,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2131,"base":16},"right_expr":{"type":"numeric_atoms","value":2871,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3724,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1686,"base":16},"right_expr":{"type":"numeric_atoms","value":9124,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6494,"base":16},"right_expr":{"type":"numeric_atoms","value":1638,"base":16}}}}},"used_operators":["DyGG3AbaNP","Q3PJZHRvZv","XIabStNQrY","rGHVDoGpnC","fu6greOZ01","8w2t5hMYqp","inkyxCbjAn","IWmyXbctLI","LRNGc0VcxI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2131","layer":4},{"info":"number node, value=2871","layer":4},{"info":"compute binary expreesion, left_input=2131, right_input=2871, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=3724","layer":4},{"info":"compute unary expreesion, input=3724, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1686","layer":4},{"info":"number node, value=9124","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=9124, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6494","layer":4},{"info":"number node, value=1638","layer":4},{"info":"compute binary expreesion, left_input=6494, right_input=1638, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":"(⊥(∃⊬853⨟⋌⩍∃⊬B37⇋≉))∼((⊄⩳↩(⇁⨣⪵∃⊬E8C))⨐⩸⫘(∃⊬696∀⇚≩∃⊬23A4)⪮%⊝∃⊬195E⨟⋌⩍∃⊬666)=NaN","reverse_text":"NaN=(⊥(∃⊬853⨟⋌⩍∃⊬B37⇋≉))∼((⊄⩳↩(⇁⨣⪵∃⊬E8C))⨐⩸⫘(∃⊬696∀⇚≩∃⊬23A4)⪮%⊝∃⊬195E⨟⋌⩍∃⊬666)","cot":[{"info":"∃⊬853⨟⋌⩍∃⊬B37=NaN","layer":3},{"info":"NaN⇋≉=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⇁⨣⪵∃⊬E8C=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"∃⊬696∀⇚≩∃⊬23A4=NaN","layer":3},{"info":"∃⊬195E⨟⋌⩍∃⊬666=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":240,"expression_no_base_symbol":"⨈⫕($3585$⨪↰⇹$3288$)⨪↰⇹($2918$⨰$1736$)∑⇟⊟($2754$∼$3944$⊭↱(↥$1189$))","expression":"⨈⫕(∃⊬E01⨪↰⇹∃⊬CD8)⨪↰⇹(∃⊬B66⨰∃⊬6C8)∑⇟⊟(∃⊬AC2∼∃⊬F68⊭↱(↥∃⊬4A5))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7648,"operation_count":8,"complexity_ratio":956.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3585,"base":16},"right_expr":{"type":"numeric_atoms","value":3288,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2918,"base":16},"right_expr":{"type":"numeric_atoms","value":1736,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2754,"base":16},"right_expr":{"type":"numeric_atoms","value":3944,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1189,"base":16}}}}},"used_operators":["megm06wKyl","U7g4x0WXJJ","tmPS8pqC7x","eewbuw0ToL","COABgblf1C","DyGG3AbaNP","A8NUZmVepG"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3585","layer":4},{"info":"number node, value=3288","layer":4},{"info":"compute binary expreesion, left_input=3585, right_input=3288, 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=3585","layer":3},{"info":"number node, value=2918","layer":4},{"info":"number node, value=1736","layer":4},{"info":"compute binary expreesion, left_input=2918, right_input=1736, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1192","layer":3},{"info":"compute binary expreesion, left_input=3585, right_input=1192, 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=3585","layer":2},{"info":"number node, value=2754","layer":4},{"info":"number node, value=3944","layer":4},{"info":"compute binary expreesion, left_input=2754, right_input=3944, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1189","layer":4},{"info":"compute unary expreesion, input=1189, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3585, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute 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":"⨈⫕(∃⊬E01⨪↰⇹∃⊬CD8)⨪↰⇹(∃⊬B66⨰∃⊬6C8)∑⇟⊟(∃⊬AC2∼∃⊬F68⊭↱(↥∃⊬4A5))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(∃⊬E01⨪↰⇹∃⊬CD8)⨪↰⇹(∃⊬B66⨰∃⊬6C8)∑⇟⊟(∃⊬AC2∼∃⊬F68⊭↱(↥∃⊬4A5))","cot":[{"info":"∃⊬E01⨪↰⇹∃⊬CD8=∃⊬E01","layer":3},{"info":"∃⊬B66⨰∃⊬6C8=∃⊬4A8","layer":3},{"info":"∃⊬E01⨪↰⇹∃⊬4A8=∃⊬E01","layer":2},{"info":"∃⊬AC2∼∃⊬F68=NaN","layer":3},{"info":"↥∃⊬4A5=∃⊬10","layer":3},{"info":"NaN⊭↱∃⊬10=NaN","layer":2},{"info":"∃⊬E01∑⇟⊟NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":241,"expression_no_base_symbol":"(($1064$∸)⊴($1060$⪢$1947$)↺$1575$↬$1121$⋓($1648$⊘))∑⇟⊟(($1787$⩷∴$2418$⫡⨏$2501$⨸⪁$2254$)⫩⊇)","expression":"((∃⊬428∸)⊴(∃⊬424⪢∃⊬79B)↺∃⊬627↬∃⊬461⋓(∃⊬670⊘))∑⇟⊟((∃⊬6FB⩷∴∃⊬972⫡⨏∃⊬9C5⨸⪁∃⊬8CE)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2185,"operation_count":12,"complexity_ratio":182.08333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1064,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1060,"base":16},"right_expr":{"type":"numeric_atoms","value":1947,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1575,"base":16},"right_expr":{"type":"numeric_atoms","value":1121,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1648,"base":16}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1787,"base":16},"right_expr":{"type":"numeric_atoms","value":2418,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2501,"base":16},"right_expr":{"type":"numeric_atoms","value":2254,"base":16}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","Nsiff2A1zJ","o20kRiQErp","dWAJyo7jo9","T2fj7uvVaJ","B5M0gjZbta","gu96TGCTMs","BjRHVeLaeN","QMFrweE19q","9FxExcQeMw","g55IO6H4Gj"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=1947","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=1947, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1575","layer":4},{"info":"number node, value=1121","layer":4},{"info":"compute binary expreesion, left_input=1575, right_input=1121, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1648","layer":4},{"info":"compute unary expreesion, input=1648, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"number node, value=1787","layer":4},{"info":"number node, value=2418","layer":4},{"info":"compute binary expreesion, left_input=1787, right_input=2418, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1294","layer":3},{"info":"number node, value=2501","layer":4},{"info":"number node, value=2254","layer":4},{"info":"compute binary expreesion, left_input=2501, right_input=2254, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9510","layer":3},{"info":"compute binary expreesion, left_input=-1294, right_input=9510, 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=13333","layer":2},{"info":"compute unary expreesion, input=13333, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-13291","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-13291, 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":"((∃⊬428∸)⊴(∃⊬424⪢∃⊬79B)↺∃⊬627↬∃⊬461⋓(∃⊬670⊘))∑⇟⊟((∃⊬6FB⩷∴∃⊬972⫡⨏∃⊬9C5⨸⪁∃⊬8CE)⫩⊇)=NaN","reverse_text":"NaN=((∃⊬428∸)⊴(∃⊬424⪢∃⊬79B)↺∃⊬627↬∃⊬461⋓(∃⊬670⊘))∑⇟⊟((∃⊬6FB⩷∴∃⊬972⫡⨏∃⊬9C5⨸⪁∃⊬8CE)⫩⊇)","cot":[{"info":"∃⊬428∸=∃⊬B1","layer":3},{"info":"∃⊬424⪢∃⊬79B=NaN","layer":3},{"info":"∃⊬B1⊴NaN=NaN","layer":2},{"info":"∃⊬627↬∃⊬461=NaN","layer":3},{"info":"∃⊬670⊘=∃⊬0","layer":3},{"info":"NaN⋓∃⊬0=∃⊬0","layer":2},{"info":"NaN↺∃⊬0=∃⊬0","layer":1},{"info":"∃⊬6FB⩷∴∃⊬972=∃⊬-50E","layer":3},{"info":"∃⊬9C5⨸⪁∃⊬8CE=∃⊬2526","layer":3},{"info":"∃⊬-50E⫡⨏∃⊬2526=∃⊬3415","layer":2},{"info":"∃⊬3415⫩⊇=∃⊬-33EB","layer":1},{"info":"∃⊬0∑⇟⊟∃⊬-33EB=NaN","layer":0}]}
{"id":242,"expression_no_base_symbol":"(($2350$⫡⨏$2015$)⋫)⊉≛↸($2900$↪⪝)↬($3803$↺$9614$)⨵⪆(⊥$2911$)≧⫂∧($1386$⨎$2935$)-(⋗⩬⋾$4741$⊴$1385$)","expression":"((∃⊬92E⫡⨏∃⊬7DF)⋫)⊉≛↸(∃⊬B54↪⪝)↬(∃⊬EDB↺∃⊬258E)⨵⪆(⊥∃⊬B5F)≧⫂∧(∃⊬56A⨎∃⊬B77)-(⋗⩬⋾∃⊬1285⊴∃⊬569)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":27640,"operation_count":13,"complexity_ratio":2126.153846153846,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2350,"base":16},"right_expr":{"type":"numeric_atoms","value":2015,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2900,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3803,"base":16},"right_expr":{"type":"numeric_atoms","value":9614,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2911,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1386,"base":16},"right_expr":{"type":"numeric_atoms","value":2935,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4741,"base":16},"right_expr":{"type":"numeric_atoms","value":1385,"base":16}}}}},"used_operators":["2DQ55sFlQl","DZ8iAZOCBD","JL8yIekQnl","QMFrweE19q","B5M0gjZbta","l07mrZUIn9","7j4O788W3g","rysDP5nf3Z","Ph9nP6C5qx","Q3PJZHRvZv","rJVOvQCfKK","DpFCA1CohY","Nsiff2A1zJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2350","layer":4},{"info":"number node, value=2015","layer":4},{"info":"compute binary expreesion, left_input=2350, right_input=2015, 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=16563","layer":3},{"info":"compute unary expreesion, input=16563, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=16563","layer":2},{"info":"number node, value=2900","layer":4},{"info":"compute unary expreesion, input=2900, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=177427800","layer":3},{"info":"number node, value=3803","layer":4},{"info":"number node, value=9614","layer":4},{"info":"compute binary expreesion, left_input=3803, right_input=9614, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9614","layer":3},{"info":"compute binary expreesion, left_input=177427800, right_input=9614, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16563, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=33126","layer":1},{"info":"number node, value=2911","layer":4},{"info":"compute unary expreesion, input=2911, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=2935","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2935, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2935","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2935, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2462","layer":2},{"info":"number node, value=4741","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=4741, right_input=1385, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2462, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33126, 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":"((∃⊬92E⫡⨏∃⊬7DF)⋫)⊉≛↸(∃⊬B54↪⪝)↬(∃⊬EDB↺∃⊬258E)⨵⪆(⊥∃⊬B5F)≧⫂∧(∃⊬56A⨎∃⊬B77)-(⋗⩬⋾∃⊬1285⊴∃⊬569)=∃⊬A0","reverse_text":"∃⊬A0=((∃⊬92E⫡⨏∃⊬7DF)⋫)⊉≛↸(∃⊬B54↪⪝)↬(∃⊬EDB↺∃⊬258E)⨵⪆(⊥∃⊬B5F)≧⫂∧(∃⊬56A⨎∃⊬B77)-(⋗⩬⋾∃⊬1285⊴∃⊬569)","cot":[{"info":"∃⊬92E⫡⨏∃⊬7DF=∃⊬40B3","layer":3},{"info":"∃⊬40B3⋫=∃⊬40B3","layer":2},{"info":"∃⊬B54↪⪝=∃⊬A935558","layer":3},{"info":"∃⊬EDB↺∃⊬258E=∃⊬258E","layer":3},{"info":"∃⊬A935558↬∃⊬258E=NaN","layer":2},{"info":"∃⊬40B3⊉≛↸NaN=∃⊬8166","layer":1},{"info":"⊥∃⊬B5F=NaN","layer":3},{"info":"∃⊬56A⨎∃⊬B77=∃⊬B77","layer":3},{"info":"NaN≧⫂∧∃⊬B77=∃⊬99E","layer":2},{"info":"∃⊬1285⊴∃⊬569=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"∃⊬99E-NaN=NaN","layer":1},{"info":"∃⊬8166⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":243,"expression_no_base_symbol":"((($3863$⊭↱$5857$)⨁⊸⫻)%(≉($1860$⇼⇔∾$3833$)))≦≮≮","expression":"(((∃⊬F17⊭↱∃⊬16E1)⨁⊸⫻)%(≉(∃⊬744⇼⇔∾∃⊬EF9)))≦≮≮","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15,"operation_count":6,"complexity_ratio":2.5,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3863,"base":16},"right_expr":{"type":"numeric_atoms","value":5857,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1860,"base":16},"right_expr":{"type":"numeric_atoms","value":3833,"base":16}}}}},"used_operators":["D4vGDi5EA2","k8jYdgA6NY","glklzrTFfD","COABgblf1C","e1ybzncUwg","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-1173","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3863","layer":4},{"info":"number node, value=5857","layer":4},{"info":"compute binary expreesion, left_input=3863, right_input=5857, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=3993","layer":3},{"info":"compute unary expreesion, input=3993, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=3993","layer":2},{"info":"number node, value=1860","layer":4},{"info":"number node, value=3833","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=3833, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1973","layer":3},{"info":"compute unary expreesion, input=1973, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2504","layer":2},{"info":"compute binary expreesion, left_input=3993, right_input=2504, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1489","layer":1},{"info":"compute unary expreesion, input=1489, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-4467","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬F17⊭↱∃⊬16E1)⨁⊸⫻)%(≉(∃⊬744⇼⇔∾∃⊬EF9)))≦≮≮=∃⊬-1173","reverse_text":"∃⊬-1173=(((∃⊬F17⊭↱∃⊬16E1)⨁⊸⫻)%(≉(∃⊬744⇼⇔∾∃⊬EF9)))≦≮≮","cot":[{"info":"∃⊬F17⊭↱∃⊬16E1=∃⊬F99","layer":3},{"info":"∃⊬F99⨁⊸⫻=∃⊬F99","layer":2},{"info":"∃⊬744⇼⇔∾∃⊬EF9=∃⊬7B5","layer":3},{"info":"≉∃⊬7B5=∃⊬9C8","layer":2},{"info":"∃⊬F99%∃⊬9C8=∃⊬5D1","layer":1},{"info":"∃⊬5D1≦≮≮=∃⊬-1173","layer":0}]}
{"id":244,"expression_no_base_symbol":"($3801$∑⇟⊟$1260$≎⊠⪸($5789$∧))↬($1681$⋝⋈⪟$4376$⋷$2396$↺$3706$)≧⫂∧(↔($1894$⋝⋈⪟$3606$⪠⩆⊳))","expression":"(∃⊬ED9∑⇟⊟∃⊬4EC≎⊠⪸(∃⊬169D∧))↬(∃⊬691⋝⋈⪟∃⊬1118⋷∃⊬95C↺∃⊬E7A)≧⫂∧(↔(∃⊬766⋝⋈⪟∃⊬E16⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":113,"operation_count":11,"complexity_ratio":10.272727272727273,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3801,"base":16},"right_expr":{"type":"numeric_atoms","value":1260,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5789,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1681,"base":16},"right_expr":{"type":"numeric_atoms","value":4376,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2396,"base":16},"right_expr":{"type":"numeric_atoms","value":3706,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1894,"base":16},"right_expr":{"type":"numeric_atoms","value":3606,"base":16}}}}},"used_operators":["Ph9nP6C5qx","B5M0gjZbta","bJkvcejdHO","U7g4x0WXJJ","z63VuFQld9","23Mk6UjR3U","2DDjHMKMc0","7j4O788W3g","ruOEQAzv1W","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬13C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3801","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=3801, right_input=1260, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5789","layer":4},{"info":"compute unary expreesion, input=5789, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1681","layer":4},{"info":"number node, value=4376","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=4376, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1681","layer":3},{"info":"number node, value=2396","layer":4},{"info":"number node, value=3706","layer":4},{"info":"compute binary expreesion, left_input=2396, right_input=3706, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3706","layer":3},{"info":"compute binary expreesion, left_input=1681, right_input=3706, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5731","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=5731, 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=1894","layer":4},{"info":"number node, value=3606","layer":4},{"info":"compute binary expreesion, left_input=1894, right_input=3606, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1894","layer":3},{"info":"compute unary expreesion, input=1894, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=789, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=316","layer":0}],"base":16,"result_base":16,"text":"(∃⊬ED9∑⇟⊟∃⊬4EC≎⊠⪸(∃⊬169D∧))↬(∃⊬691⋝⋈⪟∃⊬1118⋷∃⊬95C↺∃⊬E7A)≧⫂∧(↔(∃⊬766⋝⋈⪟∃⊬E16⪠⩆⊳))=∃⊬13C","reverse_text":"∃⊬13C=(∃⊬ED9∑⇟⊟∃⊬4EC≎⊠⪸(∃⊬169D∧))↬(∃⊬691⋝⋈⪟∃⊬1118⋷∃⊬95C↺∃⊬E7A)≧⫂∧(↔(∃⊬766⋝⋈⪟∃⊬E16⪠⩆⊳))","cot":[{"info":"∃⊬ED9∑⇟⊟∃⊬4EC=NaN","layer":3},{"info":"∃⊬169D∧=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":2},{"info":"∃⊬691⋝⋈⪟∃⊬1118=∃⊬691","layer":3},{"info":"∃⊬95C↺∃⊬E7A=∃⊬E7A","layer":3},{"info":"∃⊬691⋷∃⊬E7A=∃⊬1663","layer":2},{"info":"∃⊬43↬∃⊬1663=NaN","layer":1},{"info":"∃⊬766⋝⋈⪟∃⊬E16=∃⊬766","layer":3},{"info":"∃⊬766⪠⩆⊳=∃⊬0","layer":2},{"info":"↔∃⊬0=∃⊬315","layer":1},{"info":"NaN≧⫂∧∃⊬315=∃⊬13C","layer":0}]}
{"id":245,"expression_no_base_symbol":"(≤/$1289$)⨪↰⇹($2161$⨳⩥⨓$1985$)≎⊠⪸(($5414$⪒$3780$)↺($1528$⪄$6011$))⪄(($2160$+$1555$)⨎($1031$⇼⇔∾$2064$))∼($2972$≹⇙⪍$1046$⋷$1066$≭$1074$)","expression":"(≤/∃⊬509)⨪↰⇹(∃⊬871⨳⩥⨓∃⊬7C1)≎⊠⪸((∃⊬1526⪒∃⊬EC4)↺(∃⊬5F8⪄∃⊬177B))⪄((∃⊬870+∃⊬613)⨎(∃⊬407⇼⇔∾∃⊬810))∼(∃⊬B9C≹⇙⪍∃⊬416⋷∃⊬42A≭∃⊬432)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1039,"operation_count":15,"complexity_ratio":69.26666666666667,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1289,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2161,"base":16},"right_expr":{"type":"numeric_atoms","value":1985,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5414,"base":16},"right_expr":{"type":"numeric_atoms","value":3780,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1528,"base":16},"right_expr":{"type":"numeric_atoms","value":6011,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2160,"base":16},"right_expr":{"type":"numeric_atoms","value":1555,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1031,"base":16},"right_expr":{"type":"numeric_atoms","value":2064,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2972,"base":16},"right_expr":{"type":"numeric_atoms","value":1046,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1066,"base":16},"right_expr":{"type":"numeric_atoms","value":1074,"base":16}}}}},"used_operators":["SUmda5xLS4","bJkvcejdHO","tmPS8pqC7x","eLAdDNolq6","nCS4ZIUYfx","7j4O788W3g","f6k1SAg4EE","DyGG3AbaNP","rJVOvQCfKK","W4YGzv6Whe","tifHPKVTfV","23Mk6UjR3U","AHs5Up7iyr","rxpJgHHUmx"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1289","layer":4},{"info":"compute unary expreesion, input=1289, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-805","layer":3},{"info":"number node, value=2161","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=1985, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-176","layer":3},{"info":"compute binary expreesion, left_input=-805, right_input=-176, 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=805","layer":2},{"info":"number node, value=5414","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=5414, right_input=3780, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9194","layer":3},{"info":"number node, value=1528","layer":4},{"info":"number node, value=6011","layer":4},{"info":"compute binary expreesion, left_input=1528, right_input=6011, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-246277","layer":3},{"info":"compute binary expreesion, left_input=-9194, right_input=-246277, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-246277","layer":2},{"info":"compute binary expreesion, left_input=805, right_input=-246277, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2160","layer":4},{"info":"number node, value=1555","layer":4},{"info":"compute binary expreesion, left_input=2160, right_input=1555, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3715","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=2064","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=2064, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1033","layer":3},{"info":"compute binary expreesion, left_input=3715, right_input=1033, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1033","layer":2},{"info":"number node, value=2972","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=1046, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=1074, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1033, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"(≤/∃⊬509)⨪↰⇹(∃⊬871⨳⩥⨓∃⊬7C1)≎⊠⪸((∃⊬1526⪒∃⊬EC4)↺(∃⊬5F8⪄∃⊬177B))⪄((∃⊬870+∃⊬613)⨎(∃⊬407⇼⇔∾∃⊬810))∼(∃⊬B9C≹⇙⪍∃⊬416⋷∃⊬42A≭∃⊬432)=NaN","reverse_text":"NaN=(≤/∃⊬509)⨪↰⇹(∃⊬871⨳⩥⨓∃⊬7C1)≎⊠⪸((∃⊬1526⪒∃⊬EC4)↺(∃⊬5F8⪄∃⊬177B))⪄((∃⊬870+∃⊬613)⨎(∃⊬407⇼⇔∾∃⊬810))∼(∃⊬B9C≹⇙⪍∃⊬416⋷∃⊬42A≭∃⊬432)","cot":[{"info":"≤/∃⊬509=∃⊬-325","layer":3},{"info":"∃⊬871⨳⩥⨓∃⊬7C1=∃⊬-B0","layer":3},{"info":"∃⊬-325⨪↰⇹∃⊬-B0=∃⊬325","layer":2},{"info":"∃⊬1526⪒∃⊬EC4=∃⊬-23EA","layer":3},{"info":"∃⊬5F8⪄∃⊬177B=∃⊬-3C205","layer":3},{"info":"∃⊬-23EA↺∃⊬-3C205=∃⊬-3C205","layer":2},{"info":"∃⊬325≎⊠⪸∃⊬-3C205=∃⊬43","layer":1},{"info":"∃⊬870+∃⊬613=∃⊬E83","layer":3},{"info":"∃⊬407⇼⇔∾∃⊬810=∃⊬409","layer":3},{"info":"∃⊬E83⨎∃⊬409=∃⊬409","layer":2},{"info":"∃⊬B9C≹⇙⪍∃⊬416=NaN","layer":3},{"info":"∃⊬42A≭∃⊬432=NaN","layer":3},{"info":"NaN⋷NaN=NaN","layer":2},{"info":"∃⊬409∼NaN=NaN","layer":1},{"info":"∃⊬43⪄NaN=NaN","layer":0}]}
{"id":246,"expression_no_base_symbol":"(($1742$⨵⪆$1099$)∼($1907$⋥≓≎$1354$)⪨≂($2689$⪄$3768$/$3751$⨪↰⇹$1386$))⪮%⊝((⩦⩻⨪$3225$)⊉≛↸($2598$*$1863$)⇼⇔∾($5033$⨓$1489$⪒$1642$+⇶⊼$1854$))","expression":"((∃⊬6CE⨵⪆∃⊬44B)∼(∃⊬773⋥≓≎∃⊬54A)⪨≂(∃⊬A81⪄∃⊬EB8/∃⊬EA7⨪↰⇹∃⊬56A))⪮%⊝((⩦⩻⨪∃⊬C99)⊉≛↸(∃⊬A26*∃⊬747)⇼⇔∾(∃⊬13A9⨓∃⊬5D1⪒∃⊬66A+⇶⊼∃⊬73E))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10702,"operation_count":15,"complexity_ratio":713.4666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1742,"base":16},"right_expr":{"type":"numeric_atoms","value":1099,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1907,"base":16},"right_expr":{"type":"numeric_atoms","value":1354,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2689,"base":16},"right_expr":{"type":"numeric_atoms","value":3768,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3751,"base":16},"right_expr":{"type":"numeric_atoms","value":1386,"base":16}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3225,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2598,"base":16},"right_expr":{"type":"numeric_atoms","value":1863,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5033,"base":16},"right_expr":{"type":"numeric_atoms","value":1489,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1642,"base":16},"right_expr":{"type":"numeric_atoms","value":1854,"base":16}}}}},"used_operators":["IWmyXbctLI","sdazOOVcIp","DyGG3AbaNP","2DQ55sFlQl","Qy55tPpLXF","XhwjNDsVaA","SUmda5xLS4","tmPS8pqC7x","tifHPKVTfV","DZ8iAZOCBD","2td37pGCOC","9HNa5Wba9A","f6k1SAg4EE","3ViojmjbAp","TpPTUOHfaN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1742","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1742, right_input=1099, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1907","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=1907, right_input=1354, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=834","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=834, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"number node, value=2689","layer":4},{"info":"number node, value=3768","layer":4},{"info":"compute binary expreesion, left_input=2689, right_input=3768, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-409133","layer":3},{"info":"number node, value=3751","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=3751, right_input=1386, 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=3751","layer":3},{"info":"compute binary expreesion, left_input=-409133, right_input=3751, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-110","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-110, 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=322","layer":1},{"info":"number node, value=3225","layer":4},{"info":"compute unary expreesion, input=3225, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3225","layer":3},{"info":"number node, value=2598","layer":4},{"info":"number node, value=1863","layer":4},{"info":"compute binary expreesion, left_input=2598, right_input=1863, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4840074","layer":3},{"info":"compute binary expreesion, left_input=3225, right_input=4840074, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6450","layer":2},{"info":"number node, value=5033","layer":4},{"info":"number node, value=1489","layer":4},{"info":"compute binary expreesion, left_input=5033, right_input=1489, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1492","layer":3},{"info":"number node, value=1642","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1642, right_input=1854, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1492, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6450, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=322, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬6CE⨵⪆∃⊬44B)∼(∃⊬773⋥≓≎∃⊬54A)⪨≂(∃⊬A81⪄∃⊬EB8/∃⊬EA7⨪↰⇹∃⊬56A))⪮%⊝((⩦⩻⨪∃⊬C99)⊉≛↸(∃⊬A26*∃⊬747)⇼⇔∾(∃⊬13A9⨓∃⊬5D1⪒∃⊬66A+⇶⊼∃⊬73E))=NaN","reverse_text":"NaN=((∃⊬6CE⨵⪆∃⊬44B)∼(∃⊬773⋥≓≎∃⊬54A)⪨≂(∃⊬A81⪄∃⊬EB8/∃⊬EA7⨪↰⇹∃⊬56A))⪮%⊝((⩦⩻⨪∃⊬C99)⊉≛↸(∃⊬A26*∃⊬747)⇼⇔∾(∃⊬13A9⨓∃⊬5D1⪒∃⊬66A+⇶⊼∃⊬73E))","cot":[{"info":"∃⊬6CE⨵⪆∃⊬44B=∃⊬A0","layer":3},{"info":"∃⊬773⋥≓≎∃⊬54A=∃⊬342","layer":3},{"info":"∃⊬A0∼∃⊬342=∃⊬0","layer":2},{"info":"∃⊬A81⪄∃⊬EB8=∃⊬-63E2D","layer":3},{"info":"∃⊬EA7⨪↰⇹∃⊬56A=∃⊬EA7","layer":3},{"info":"∃⊬-63E2D/∃⊬EA7=∃⊬-6E","layer":2},{"info":"∃⊬0⪨≂∃⊬-6E=∃⊬142","layer":1},{"info":"⩦⩻⨪∃⊬C99=∃⊬C99","layer":3},{"info":"∃⊬A26*∃⊬747=∃⊬49DA8A","layer":3},{"info":"∃⊬C99⊉≛↸∃⊬49DA8A=∃⊬1932","layer":2},{"info":"∃⊬13A9⨓∃⊬5D1=∃⊬-5D4","layer":3},{"info":"∃⊬66A+⇶⊼∃⊬73E=NaN","layer":3},{"info":"∃⊬-5D4⪒NaN=NaN","layer":2},{"info":"∃⊬1932⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬142⪮%⊝NaN=NaN","layer":0}]}
{"id":247,"expression_no_base_symbol":"⊄⩳↩((⨰⫟⨤($1317$↙$3139$))⊭∹↮)","expression":"⊄⩳↩((⨰⫟⨤(∃⊬525↙∃⊬C43))⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":41711,"operation_count":4,"complexity_ratio":10427.75,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1317,"base":16},"right_expr":{"type":"numeric_atoms","value":3139,"base":16}}}}},"used_operators":["8w2t5hMYqp","xNBdhnnwKq","Tw270M8GLb","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1317","layer":4},{"info":"number node, value=3139","layer":4},{"info":"compute binary expreesion, left_input=1317, right_input=3139, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9417","layer":3},{"info":"compute unary expreesion, input=-9417, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , 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":"⊄⩳↩((⨰⫟⨤(∃⊬525↙∃⊬C43))⊭∹↮)=NaN","reverse_text":"NaN=⊄⩳↩((⨰⫟⨤(∃⊬525↙∃⊬C43))⊭∹↮)","cot":[{"info":"∃⊬525↙∃⊬C43=∃⊬-24C9","layer":3},{"info":"⨰⫟⨤∃⊬-24C9=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":248,"expression_no_base_symbol":"(↩($1860$∼$2487$⊉≛↸($3348$⩨$1397$)))⊭↱(⊄⩳↩(↔($3618$⨰$4989$)))","expression":"(↩(∃⊬744∼∃⊬9B7⊉≛↸(∃⊬D14⩨∃⊬575)))⊭↱(⊄⩳↩(↔(∃⊬E22⨰∃⊬137D)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":100,"operation_count":8,"complexity_ratio":12.5,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1860,"base":16},"right_expr":{"type":"numeric_atoms","value":2487,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3348,"base":16},"right_expr":{"type":"numeric_atoms","value":1397,"base":16}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3618,"base":16},"right_expr":{"type":"numeric_atoms","value":4989,"base":16}}}}},"used_operators":["COABgblf1C","jLgFTUHLKL","DZ8iAZOCBD","DyGG3AbaNP","2DlMacCsIx","8w2t5hMYqp","ruOEQAzv1W","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1860","layer":4},{"info":"number node, value=2487","layer":4},{"info":"compute binary expreesion, left_input=1860, right_input=2487, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3348","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=3348, right_input=1397, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=3618","layer":4},{"info":"number node, value=4989","layer":4},{"info":"compute binary expreesion, left_input=3618, right_input=4989, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1361","layer":3},{"info":"compute unary expreesion, input=-1361, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=402","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=402, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↩(∃⊬744∼∃⊬9B7⊉≛↸(∃⊬D14⩨∃⊬575)))⊭↱(⊄⩳↩(↔(∃⊬E22⨰∃⊬137D)))=NaN","reverse_text":"NaN=(↩(∃⊬744∼∃⊬9B7⊉≛↸(∃⊬D14⩨∃⊬575)))⊭↱(⊄⩳↩(↔(∃⊬E22⨰∃⊬137D)))","cot":[{"info":"∃⊬744∼∃⊬9B7=NaN","layer":3},{"info":"∃⊬D14⩨∃⊬575=∃⊬0","layer":3},{"info":"NaN⊉≛↸∃⊬0=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬E22⨰∃⊬137D=∃⊬-551","layer":3},{"info":"↔∃⊬-551=∃⊬-86","layer":2},{"info":"⊄⩳↩∃⊬-86=∃⊬192","layer":1},{"info":"NaN⊭↱∃⊬192=NaN","layer":0}]}
{"id":249,"expression_no_base_symbol":"(⨑⩽⪐(($2690$⫩⊇)⊭↱$4462$⨪↰⇹$6353$))⨳⩥⨓((⨈⫕($7639$≫≃))⫸⊐($5442$↬$4876$⨸⪁$1739$⋳⪒$2910$))","expression":"(⨑⩽⪐((∃⊬A82⫩⊇)⊭↱∃⊬116E⨪↰⇹∃⊬18D1))⨳⩥⨓((⨈⫕(∃⊬1DD7≫≃))⫸⊐(∃⊬1542↬∃⊬130C⨸⪁∃⊬6CB⋳⪒∃⊬B5E))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4885,"operation_count":11,"complexity_ratio":444.09090909090907,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2690,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4462,"base":16},"right_expr":{"type":"numeric_atoms","value":6353,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":7639,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5442,"base":16},"right_expr":{"type":"numeric_atoms","value":4876,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1739,"base":16},"right_expr":{"type":"numeric_atoms","value":2910,"base":16}}}}},"used_operators":["nCS4ZIUYfx","AF7qkfDlqP","COABgblf1C","BjRHVeLaeN","tmPS8pqC7x","mqXw5SEYmG","megm06wKyl","X99M06cbEe","g55IO6H4Gj","B5M0gjZbta","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬384F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2648","layer":3},{"info":"number node, value=4462","layer":4},{"info":"number node, value=6353","layer":4},{"info":"compute binary expreesion, left_input=4462, right_input=6353, 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=4462","layer":3},{"info":"compute binary expreesion, left_input=-2648, right_input=4462, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=14225","layer":2},{"info":"compute unary expreesion, input=14225, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-13952","layer":1},{"info":"number node, value=7639","layer":4},{"info":"compute unary expreesion, input=7639, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=16679","layer":3},{"info":"compute unary expreesion, input=16679, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=5442","layer":4},{"info":"number node, value=4876","layer":4},{"info":"compute binary expreesion, left_input=5442, right_input=4876, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=2910, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=281","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=281, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=463","layer":1},{"info":"compute binary expreesion, left_input=-13952, right_input=463, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=14415","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐((∃⊬A82⫩⊇)⊭↱∃⊬116E⨪↰⇹∃⊬18D1))⨳⩥⨓((⨈⫕(∃⊬1DD7≫≃))⫸⊐(∃⊬1542↬∃⊬130C⨸⪁∃⊬6CB⋳⪒∃⊬B5E))=∃⊬384F","reverse_text":"∃⊬384F=(⨑⩽⪐((∃⊬A82⫩⊇)⊭↱∃⊬116E⨪↰⇹∃⊬18D1))⨳⩥⨓((⨈⫕(∃⊬1DD7≫≃))⫸⊐(∃⊬1542↬∃⊬130C⨸⪁∃⊬6CB⋳⪒∃⊬B5E))","cot":[{"info":"∃⊬A82⫩⊇=∃⊬-A58","layer":3},{"info":"∃⊬116E⨪↰⇹∃⊬18D1=∃⊬116E","layer":3},{"info":"∃⊬-A58⊭↱∃⊬116E=∃⊬3791","layer":2},{"info":"⨑⩽⪐∃⊬3791=∃⊬-3680","layer":1},{"info":"∃⊬1DD7≫≃=∃⊬4127","layer":3},{"info":"⨈⫕∃⊬4127=∃⊬-15","layer":2},{"info":"∃⊬1542↬∃⊬130C=NaN","layer":3},{"info":"∃⊬6CB⋳⪒∃⊬B5E=∃⊬119","layer":3},{"info":"NaN⨸⪁∃⊬119=NaN","layer":2},{"info":"∃⊬-15⫸⊐NaN=∃⊬1CF","layer":1},{"info":"∃⊬-3680⨳⩥⨓∃⊬1CF=∃⊬384F","layer":0}]}
{"id":250,"expression_no_base_symbol":"(($1464$≫≃)⊭↱(≤/$6597$))∼($1956$⇷$5439$⪐)⨰(($5255$⨳⩥⨓$7107$)+⇶⊼($4044$+⇶⊼$1694$)≭($4370$⨳⩥⨓$1569$⇼⇔∾(∂$2550$)))","expression":"((∃⊬5B8≫≃)⊭↱(≤/∃⊬19C5))∼(∃⊬7A4⇷∃⊬153F⪐)⨰((∃⊬1487⨳⩥⨓∃⊬1BC3)+⇶⊼(∃⊬FCC+⇶⊼∃⊬69E)≭(∃⊬1112⨳⩥⨓∃⊬621⇼⇔∾(∂∃⊬9F6)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27835,"operation_count":14,"complexity_ratio":1988.2142857142858,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1464,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":6597,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1956,"base":16},"right_expr":{"type":"numeric_atoms","value":5439,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5255,"base":16},"right_expr":{"type":"numeric_atoms","value":7107,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4044,"base":16},"right_expr":{"type":"numeric_atoms","value":1694,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4370,"base":16},"right_expr":{"type":"numeric_atoms","value":1569,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2550,"base":16}}}}},"used_operators":["eewbuw0ToL","DyGG3AbaNP","COABgblf1C","X99M06cbEe","eLAdDNolq6","eH2TOUuTDT","mp7IySMOzn","rxpJgHHUmx","TpPTUOHfaN","nCS4ZIUYfx","tifHPKVTfV","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4329","layer":3},{"info":"number node, value=6597","layer":4},{"info":"compute unary expreesion, input=6597, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6113","layer":3},{"info":"compute binary expreesion, left_input=4329, right_input=-6113, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-20879","layer":2},{"info":"number node, value=1956","layer":4},{"info":"number node, value=5439","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=5439, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10878","layer":3},{"info":"compute unary expreesion, input=10878, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=21756","layer":2},{"info":"compute binary expreesion, left_input=-20879, right_input=21756, 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=5255","layer":4},{"info":"number node, value=7107","layer":4},{"info":"compute binary expreesion, left_input=5255, right_input=7107, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1852","layer":3},{"info":"number node, value=4044","layer":4},{"info":"number node, value=1694","layer":4},{"info":"compute binary expreesion, left_input=4044, right_input=1694, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1852, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4370","layer":4},{"info":"number node, value=1569","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=1569, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2801","layer":3},{"info":"number node, value=2550","layer":4},{"info":"compute unary expreesion, input=2550, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2801, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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":"((∃⊬5B8≫≃)⊭↱(≤/∃⊬19C5))∼(∃⊬7A4⇷∃⊬153F⪐)⨰((∃⊬1487⨳⩥⨓∃⊬1BC3)+⇶⊼(∃⊬FCC+⇶⊼∃⊬69E)≭(∃⊬1112⨳⩥⨓∃⊬621⇼⇔∾(∂∃⊬9F6)))=NaN","reverse_text":"NaN=((∃⊬5B8≫≃)⊭↱(≤/∃⊬19C5))∼(∃⊬7A4⇷∃⊬153F⪐)⨰((∃⊬1487⨳⩥⨓∃⊬1BC3)+⇶⊼(∃⊬FCC+⇶⊼∃⊬69E)≭(∃⊬1112⨳⩥⨓∃⊬621⇼⇔∾(∂∃⊬9F6)))","cot":[{"info":"∃⊬5B8≫≃=∃⊬10E9","layer":3},{"info":"≤/∃⊬19C5=∃⊬-17E1","layer":3},{"info":"∃⊬10E9⊭↱∃⊬-17E1=∃⊬-518F","layer":2},{"info":"∃⊬7A4⇷∃⊬153F=∃⊬2A7E","layer":3},{"info":"∃⊬2A7E⪐=∃⊬54FC","layer":2},{"info":"∃⊬-518F∼∃⊬54FC=NaN","layer":1},{"info":"∃⊬1487⨳⩥⨓∃⊬1BC3=∃⊬73C","layer":3},{"info":"∃⊬FCC+⇶⊼∃⊬69E=NaN","layer":3},{"info":"∃⊬73C+⇶⊼NaN=NaN","layer":2},{"info":"∃⊬1112⨳⩥⨓∃⊬621=∃⊬-AF1","layer":3},{"info":"∂∃⊬9F6=NaN","layer":3},{"info":"∃⊬-AF1⇼⇔∾NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":251,"expression_no_base_symbol":"(⊄⩳↩($2114$⋷$1879$))⫡⨏($4151$-$3476$)⪒(⪲⇎$3822$)⋷(↩$5048$∀⇚≩$5620$⫸⊐(⪝⪂⫅$4036$))","expression":"(⊄⩳↩(∃⊬842⋷∃⊬757))⫡⨏(∃⊬1037-∃⊬D94)⪒(⪲⇎∃⊬EEE)⋷(↩∃⊬13B8∀⇚≩∃⊬15F4⫸⊐(⪝⪂⫅∃⊬FC4))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":35530,"operation_count":11,"complexity_ratio":3230.0,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2114,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4151,"base":16},"right_expr":{"type":"numeric_atoms","value":3476,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3822,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5048,"base":16},"right_expr":{"type":"numeric_atoms","value":5620,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4036,"base":16}}}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","8w2t5hMYqp","f6k1SAg4EE","rysDP5nf3Z","XPYlsWDdGa","jLgFTUHLKL","mqXw5SEYmG","LRNGc0VcxI","XTarYq4gQB"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","X99M06cbEe","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬13C86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2114","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2114, right_input=1879, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1644","layer":3},{"info":"compute unary expreesion, input=1644, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4932","layer":2},{"info":"number node, value=4151","layer":4},{"info":"number node, value=3476","layer":4},{"info":"compute binary expreesion, left_input=4151, right_input=3476, op_id = rysDP5nf3Z binary_op_definition= 'None', output=675","layer":3},{"info":"number node, value=3822","layer":4},{"info":"compute unary expreesion, input=3822, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7644","layer":3},{"info":"compute binary expreesion, left_input=675, right_input=7644, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8319","layer":2},{"info":"compute binary expreesion, left_input=-4932, right_input=-8319, 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=-40515","layer":1},{"info":"number node, value=5048","layer":4},{"info":"number node, value=5620","layer":4},{"info":"compute binary expreesion, left_input=5048, right_input=5620, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4036","layer":4},{"info":"compute unary expreesion, input=4036, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-593292","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-593292, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-40515, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=81030","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(∃⊬842⋷∃⊬757))⫡⨏(∃⊬1037-∃⊬D94)⪒(⪲⇎∃⊬EEE)⋷(↩∃⊬13B8∀⇚≩∃⊬15F4⫸⊐(⪝⪂⫅∃⊬FC4))=∃⊬13C86","reverse_text":"∃⊬13C86=(⊄⩳↩(∃⊬842⋷∃⊬757))⫡⨏(∃⊬1037-∃⊬D94)⪒(⪲⇎∃⊬EEE)⋷(↩∃⊬13B8∀⇚≩∃⊬15F4⫸⊐(⪝⪂⫅∃⊬FC4))","cot":[{"info":"∃⊬842⋷∃⊬757=∃⊬66C","layer":3},{"info":"⊄⩳↩∃⊬66C=∃⊬-1344","layer":2},{"info":"∃⊬1037-∃⊬D94=∃⊬2A3","layer":3},{"info":"⪲⇎∃⊬EEE=∃⊬1DDC","layer":3},{"info":"∃⊬2A3⪒∃⊬1DDC=∃⊬-207F","layer":2},{"info":"∃⊬-1344⫡⨏∃⊬-207F=∃⊬-9E43","layer":1},{"info":"∃⊬13B8∀⇚≩∃⊬15F4=NaN","layer":3},{"info":"⪝⪂⫅∃⊬FC4=∃⊬-90D8C","layer":3},{"info":"NaN⫸⊐∃⊬-90D8C=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬-9E43⋷NaN=∃⊬13C86","layer":0}]}
{"id":252,"expression_no_base_symbol":"(⨰⫟⨤$1071$)⋳⪒$2531$⩚⊴⇥$3170$⇼⇔∾(($4000$+$1002$)⊠≄⫣)⪒(⨰⫟⨤(⫓⪴(≉$4850$)))","expression":"(⨰⫟⨤∃⊬42F)⋳⪒∃⊬9E3⩚⊴⇥∃⊬C62⇼⇔∾((∃⊬FA0+∃⊬3EA)⊠≄⫣)⪒(⨰⫟⨤(⫓⪴(≉∃⊬12F2)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57918330,"operation_count":10,"complexity_ratio":5791833.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1071,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2531,"base":16},"right_expr":{"type":"numeric_atoms","value":3170,"base":16}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4000,"base":16},"right_expr":{"type":"numeric_atoms","value":1002,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4850,"base":16}}}}},"used_operators":["f6k1SAg4EE","tifHPKVTfV","12rbrZMWeM","Tw270M8GLb","NTOWxs364D","DIvbN7qnHd","W4YGzv6Whe","eLxqMNBOBk","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2531","layer":4},{"info":"number node, value=3170","layer":4},{"info":"compute binary expreesion, left_input=2531, right_input=3170, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5822","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5822, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=4000","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=4000, right_input=1002, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5002","layer":3},{"info":"compute unary expreesion, input=5002, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=4850","layer":4},{"info":"compute unary expreesion, input=4850, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5381","layer":3},{"info":"compute unary expreesion, input=5381, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=28955161","layer":2},{"info":"compute unary expreesion, input=28955161, 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 = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨰⫟⨤∃⊬42F)⋳⪒∃⊬9E3⩚⊴⇥∃⊬C62⇼⇔∾((∃⊬FA0+∃⊬3EA)⊠≄⫣)⪒(⨰⫟⨤(⫓⪴(≉∃⊬12F2)))=NaN","reverse_text":"NaN=(⨰⫟⨤∃⊬42F)⋳⪒∃⊬9E3⩚⊴⇥∃⊬C62⇼⇔∾((∃⊬FA0+∃⊬3EA)⊠≄⫣)⪒(⨰⫟⨤(⫓⪴(≉∃⊬12F2)))","cot":[{"info":"⨰⫟⨤∃⊬42F=NaN","layer":3},{"info":"∃⊬9E3⩚⊴⇥∃⊬C62=∃⊬-16BE","layer":3},{"info":"NaN⋳⪒∃⊬-16BE=NaN","layer":2},{"info":"∃⊬FA0+∃⊬3EA=∃⊬138A","layer":3},{"info":"∃⊬138A⊠≄⫣=∃⊬0","layer":2},{"info":"NaN⇼⇔∾∃⊬0=NaN","layer":1},{"info":"≉∃⊬12F2=∃⊬1505","layer":3},{"info":"⫓⪴∃⊬1505=∃⊬1B9D219","layer":2},{"info":"⨰⫟⨤∃⊬1B9D219=NaN","layer":1},{"info":"NaN⪒NaN=NaN","layer":0}]}
{"id":253,"expression_no_base_symbol":"($2657$⨳⩥⨓$1423$)⇷($1113$⩨$1479$)≧⫂∧(∥⊫$5483$)⪮%⊝($3836$↬$1377$)∲⫓(⋗⩬⋾($2431$≎⊠⪸$2311$)⪘⫢$1822$↬$2812$)","expression":"(∃⊬A61⨳⩥⨓∃⊬58F)⇷(∃⊬459⩨∃⊬5C7)≧⫂∧(∥⊫∃⊬156B)⪮%⊝(∃⊬EFC↬∃⊬561)∲⫓(⋗⩬⋾(∃⊬97F≎⊠⪸∃⊬907)⪘⫢∃⊬71E↬∃⊬AFC)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17589,"operation_count":12,"complexity_ratio":1465.75,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2657,"base":16},"right_expr":{"type":"numeric_atoms","value":1423,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1113,"base":16},"right_expr":{"type":"numeric_atoms","value":1479,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":5483,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3836,"base":16},"right_expr":{"type":"numeric_atoms","value":1377,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2431,"base":16},"right_expr":{"type":"numeric_atoms","value":2311,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1822,"base":16},"right_expr":{"type":"numeric_atoms","value":2812,"base":16}}}}},"used_operators":["i8ToyICDmI","Ph9nP6C5qx","mp7IySMOzn","nCS4ZIUYfx","2DlMacCsIx","IWmyXbctLI","P8v4zCKN1o","B5M0gjZbta","DpFCA1CohY","oacrs7FA3X","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2657","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=2657, right_input=1423, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1234","layer":3},{"info":"number node, value=1113","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=1113, right_input=1479, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-1234, right_input=-3, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-6","layer":2},{"info":"number node, value=5483","layer":4},{"info":"compute unary expreesion, input=5483, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6351","layer":3},{"info":"number node, value=3836","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=3836, right_input=1377, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6351, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=2431","layer":4},{"info":"number node, value=2311","layer":4},{"info":"compute binary expreesion, left_input=2431, right_input=2311, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=629156","layer":3},{"info":"number node, value=1822","layer":4},{"info":"number node, value=2812","layer":4},{"info":"compute binary expreesion, left_input=1822, right_input=2812, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=629156, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"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":"(∃⊬A61⨳⩥⨓∃⊬58F)⇷(∃⊬459⩨∃⊬5C7)≧⫂∧(∥⊫∃⊬156B)⪮%⊝(∃⊬EFC↬∃⊬561)∲⫓(⋗⩬⋾(∃⊬97F≎⊠⪸∃⊬907)⪘⫢∃⊬71E↬∃⊬AFC)=NaN","reverse_text":"NaN=(∃⊬A61⨳⩥⨓∃⊬58F)⇷(∃⊬459⩨∃⊬5C7)≧⫂∧(∥⊫∃⊬156B)⪮%⊝(∃⊬EFC↬∃⊬561)∲⫓(⋗⩬⋾(∃⊬97F≎⊠⪸∃⊬907)⪘⫢∃⊬71E↬∃⊬AFC)","cot":[{"info":"∃⊬A61⨳⩥⨓∃⊬58F=∃⊬-4D2","layer":3},{"info":"∃⊬459⩨∃⊬5C7=∃⊬-3","layer":3},{"info":"∃⊬-4D2⇷∃⊬-3=∃⊬-6","layer":2},{"info":"∥⊫∃⊬156B=∃⊬18CF","layer":3},{"info":"∃⊬EFC↬∃⊬561=NaN","layer":3},{"info":"∃⊬18CF⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬-6≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬97F≎⊠⪸∃⊬907=∃⊬999A4","layer":3},{"info":"∃⊬71E↬∃⊬AFC=NaN","layer":3},{"info":"∃⊬999A4⪘⫢NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":254,"expression_no_base_symbol":"≦∁((≦∁$4065$+⇶⊼$2384$)⊪)","expression":"≦∁((≦∁∃⊬FE1+⇶⊼∃⊬950)⊪)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":16,"operation_count":4,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4065,"base":16},"right_expr":{"type":"numeric_atoms","value":2384,"base":16}}}}},"used_operators":["9ICcGScMcE","zVYPLywUTj","TpPTUOHfaN"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4065","layer":4},{"info":"number node, value=2384","layer":4},{"info":"compute binary expreesion, left_input=4065, right_input=2384, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute 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":"≦∁((≦∁∃⊬FE1+⇶⊼∃⊬950)⊪)=NaN","reverse_text":"NaN=≦∁((≦∁∃⊬FE1+⇶⊼∃⊬950)⊪)","cot":[{"info":"∃⊬FE1+⇶⊼∃⊬950=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":255,"expression_no_base_symbol":"⨑⩽⪐($1346$⋳⪒$2166$⨽(≦∁$3578$)⨸⪁(⊄⩳↩$1260$)≎⊠⪸($1028$+⇶⊼$7643$))","expression":"⨑⩽⪐(∃⊬542⋳⪒∃⊬876⨽(≦∁∃⊬DFA)⨸⪁(⊄⩳↩∃⊬4EC)≎⊠⪸(∃⊬404+⇶⊼∃⊬1DDB))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":281,"operation_count":8,"complexity_ratio":35.125,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1346,"base":16},"right_expr":{"type":"numeric_atoms","value":2166,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3578,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1260,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1028,"base":16},"right_expr":{"type":"numeric_atoms","value":7643,"base":16}}}}},"used_operators":["AF7qkfDlqP","g55IO6H4Gj","8HhzD0ZcuI","12rbrZMWeM","9ICcGScMcE","bJkvcejdHO","8w2t5hMYqp","TpPTUOHfaN"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"∃⊬B0AC5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1346","layer":4},{"info":"number node, value=2166","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=2166, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=239","layer":3},{"info":"number node, value=3578","layer":4},{"info":"compute unary expreesion, input=3578, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3578","layer":3},{"info":"compute binary expreesion, left_input=239, right_input=3578, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-180783","layer":2},{"info":"number node, value=1260","layer":4},{"info":"compute unary expreesion, input=1260, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3780","layer":3},{"info":"number node, value=1028","layer":4},{"info":"number node, value=7643","layer":4},{"info":"compute binary expreesion, left_input=1028, right_input=7643, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3780, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-180783, right_input=67, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-361432","layer":1},{"info":"compute unary expreesion, input=-361432, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=723653","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(∃⊬542⋳⪒∃⊬876⨽(≦∁∃⊬DFA)⨸⪁(⊄⩳↩∃⊬4EC)≎⊠⪸(∃⊬404+⇶⊼∃⊬1DDB))=∃⊬B0AC5","reverse_text":"∃⊬B0AC5=⨑⩽⪐(∃⊬542⋳⪒∃⊬876⨽(≦∁∃⊬DFA)⨸⪁(⊄⩳↩∃⊬4EC)≎⊠⪸(∃⊬404+⇶⊼∃⊬1DDB))","cot":[{"info":"∃⊬542⋳⪒∃⊬876=∃⊬EF","layer":3},{"info":"≦∁∃⊬DFA=∃⊬DFA","layer":3},{"info":"∃⊬EF⨽∃⊬DFA=∃⊬-2C22F","layer":2},{"info":"⊄⩳↩∃⊬4EC=∃⊬-EC4","layer":3},{"info":"∃⊬404+⇶⊼∃⊬1DDB=NaN","layer":3},{"info":"∃⊬-EC4≎⊠⪸NaN=∃⊬43","layer":2},{"info":"∃⊬-2C22F⨸⪁∃⊬43=∃⊬-583D8","layer":1},{"info":"⨑⩽⪐∃⊬-583D8=∃⊬B0AC5","layer":0}]}
{"id":256,"expression_no_base_symbol":"($1096$⨰$7964$/$1525$∀⇚≩$2263$)⩷∴($1856$⋷$2782$⨵⪆(⋗⩬⋾$3087$))⋫","expression":"(∃⊬448⨰∃⊬1F1C/∃⊬5F5∀⇚≩∃⊬8D7)⩷∴(∃⊬740⋷∃⊬ADE⨵⪆(⋗⩬⋾∃⊬C0F))⋫","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10696,"operation_count":8,"complexity_ratio":1337.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1096,"base":16},"right_expr":{"type":"numeric_atoms","value":7964,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1525,"base":16},"right_expr":{"type":"numeric_atoms","value":2263,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1856,"base":16},"right_expr":{"type":"numeric_atoms","value":2782,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3087,"base":16}}}}},"used_operators":["JL8yIekQnl","9FxExcQeMw","XhwjNDsVaA","eewbuw0ToL","LRNGc0VcxI","2DQ55sFlQl","23Mk6UjR3U","DpFCA1CohY"],"dependent_operators":["tmPS8pqC7x","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=7964","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=7964, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6858","layer":3},{"info":"number node, value=1525","layer":4},{"info":"number node, value=2263","layer":4},{"info":"compute binary expreesion, left_input=1525, right_input=2263, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6858, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1856","layer":4},{"info":"number node, value=2782","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=2782, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3708","layer":3},{"info":"number node, value=3087","layer":4},{"info":"compute unary expreesion, input=3087, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9261","layer":3},{"info":"compute binary expreesion, left_input=3708, right_input=-9261, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬448⨰∃⊬1F1C/∃⊬5F5∀⇚≩∃⊬8D7)⩷∴(∃⊬740⋷∃⊬ADE⨵⪆(⋗⩬⋾∃⊬C0F))⋫=NaN","reverse_text":"NaN=(∃⊬448⨰∃⊬1F1C/∃⊬5F5∀⇚≩∃⊬8D7)⩷∴(∃⊬740⋷∃⊬ADE⨵⪆(⋗⩬⋾∃⊬C0F))⋫","cot":[{"info":"∃⊬448⨰∃⊬1F1C=∃⊬-1ACA","layer":3},{"info":"∃⊬5F5∀⇚≩∃⊬8D7=NaN","layer":3},{"info":"∃⊬-1ACA/NaN=NaN","layer":2},{"info":"∃⊬740⋷∃⊬ADE=∃⊬E7C","layer":3},{"info":"⋗⩬⋾∃⊬C0F=∃⊬-242D","layer":3},{"info":"∃⊬E7C⨵⪆∃⊬-242D=∃⊬A0","layer":2},{"info":"NaN⩷∴∃⊬A0=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":257,"expression_no_base_symbol":"($1440$≹⇙⪍$1340$⊭↱$4615$⋝⋈⪟$4295$/($5219$⪨≂$3394$)⪮%⊝($3800$*$2701$))⪘⫢((↣≠⋷$4755$)⩷∴$1372$∑⇟⊟$3473$⋷($3449$⨸⪁$2786$)∑⇟⊟($1008$⨵⪆$1651$))","expression":"(∃⊬5A0≹⇙⪍∃⊬53C⊭↱∃⊬1207⋝⋈⪟∃⊬10C7/(∃⊬1463⪨≂∃⊬D42)⪮%⊝(∃⊬ED8*∃⊬A8D))⪘⫢((↣≠⋷∃⊬1293)⩷∴∃⊬55C∑⇟⊟∃⊬D91⋷(∃⊬D79⨸⪁∃⊬AE2)∑⇟⊟(∃⊬3F0⨵⪆∃⊬673))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30377,"operation_count":15,"complexity_ratio":2025.1333333333334,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1440,"base":16},"right_expr":{"type":"numeric_atoms","value":1340,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4615,"base":16},"right_expr":{"type":"numeric_atoms","value":4295,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5219,"base":16},"right_expr":{"type":"numeric_atoms","value":3394,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3800,"base":16},"right_expr":{"type":"numeric_atoms","value":2701,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4755,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1372,"base":16},"right_expr":{"type":"numeric_atoms","value":3473,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3449,"base":16},"right_expr":{"type":"numeric_atoms","value":2786,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1008,"base":16},"right_expr":{"type":"numeric_atoms","value":1651,"base":16}}}}},"used_operators":["oacrs7FA3X","XhwjNDsVaA","COABgblf1C","AHs5Up7iyr","2DDjHMKMc0","IWmyXbctLI","sdazOOVcIp","9HNa5Wba9A","23Mk6UjR3U","9FxExcQeMw","Asc51vEJeQ","U7g4x0WXJJ","g55IO6H4Gj","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=1440, right_input=1340, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4615","layer":4},{"info":"number node, value=4295","layer":4},{"info":"compute binary expreesion, left_input=4615, right_input=4295, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4615","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4615, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=5219","layer":4},{"info":"number node, value=3394","layer":4},{"info":"compute binary expreesion, left_input=5219, right_input=3394, 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=3752","layer":3},{"info":"number node, value=3800","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=3800, right_input=2701, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10263800","layer":3},{"info":"compute binary expreesion, left_input=3752, right_input=10263800, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7820","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7820, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4755","layer":4},{"info":"compute unary expreesion, input=4755, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=3473","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=3473, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=3449","layer":4},{"info":"number node, value=2786","layer":4},{"info":"compute binary expreesion, left_input=3449, right_input=2786, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12470","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1651, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=12470, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5A0≹⇙⪍∃⊬53C⊭↱∃⊬1207⋝⋈⪟∃⊬10C7/(∃⊬1463⪨≂∃⊬D42)⪮%⊝(∃⊬ED8*∃⊬A8D))⪘⫢((↣≠⋷∃⊬1293)⩷∴∃⊬55C∑⇟⊟∃⊬D91⋷(∃⊬D79⨸⪁∃⊬AE2)∑⇟⊟(∃⊬3F0⨵⪆∃⊬673))=NaN","reverse_text":"NaN=(∃⊬5A0≹⇙⪍∃⊬53C⊭↱∃⊬1207⋝⋈⪟∃⊬10C7/(∃⊬1463⪨≂∃⊬D42)⪮%⊝(∃⊬ED8*∃⊬A8D))⪘⫢((↣≠⋷∃⊬1293)⩷∴∃⊬55C∑⇟⊟∃⊬D91⋷(∃⊬D79⨸⪁∃⊬AE2)∑⇟⊟(∃⊬3F0⨵⪆∃⊬673))","cot":[{"info":"∃⊬5A0≹⇙⪍∃⊬53C=NaN","layer":3},{"info":"∃⊬1207⋝⋈⪟∃⊬10C7=∃⊬1207","layer":3},{"info":"NaN⊭↱∃⊬1207=NaN","layer":2},{"info":"∃⊬1463⪨≂∃⊬D42=∃⊬EA8","layer":3},{"info":"∃⊬ED8*∃⊬A8D=∃⊬9C9CF8","layer":3},{"info":"∃⊬EA8⪮%⊝∃⊬9C9CF8=∃⊬1E8C","layer":2},{"info":"NaN/∃⊬1E8C=NaN","layer":1},{"info":"↣≠⋷∃⊬1293=NaN","layer":3},{"info":"∃⊬55C∑⇟⊟∃⊬D91=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"∃⊬D79⨸⪁∃⊬AE2=∃⊬30B6","layer":3},{"info":"∃⊬3F0⨵⪆∃⊬673=∃⊬A0","layer":3},{"info":"∃⊬30B6∑⇟⊟∃⊬A0=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":258,"expression_no_base_symbol":"((($4580$⪠⩆⊳)⨳⩥⨓$3540$⋳⪒$3571$)⨪↰⇹($2075$⨓$3897$)⊴($2117$≭$5191$))⪢(($2795$≣⋋)⫡⨏($1439$⊘))⪢($5653$⨎$1139$⨽($1116$⨁⊸⫻))","expression":"(((∃⊬11E4⪠⩆⊳)⨳⩥⨓∃⊬DD4⋳⪒∃⊬DF3)⨪↰⇹(∃⊬81B⨓∃⊬F39)⊴(∃⊬845≭∃⊬1447))⪢((∃⊬AEB≣⋋)⫡⨏(∃⊬59F⊘))⪢(∃⊬1615⨎∃⊬473⨽(∃⊬45C⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8841,"operation_count":15,"complexity_ratio":589.4,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":4580,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3540,"base":16},"right_expr":{"type":"numeric_atoms","value":3571,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2075,"base":16},"right_expr":{"type":"numeric_atoms","value":3897,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2117,"base":16},"right_expr":{"type":"numeric_atoms","value":5191,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2795,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1439,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5653,"base":16},"right_expr":{"type":"numeric_atoms","value":1139,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1116,"base":16}}}}},"used_operators":["dWAJyo7jo9","tmPS8pqC7x","nCS4ZIUYfx","JLbD19bQDL","12rbrZMWeM","Nsiff2A1zJ","3ViojmjbAp","rxpJgHHUmx","QMFrweE19q","Tcnh7f0tEr","gu96TGCTMs","8HhzD0ZcuI","rJVOvQCfKK","glklzrTFfD"],"dependent_operators":["k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4580","layer":4},{"info":"compute unary expreesion, input=4580, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=3540","layer":4},{"info":"number node, value=3571","layer":4},{"info":"compute binary expreesion, left_input=3540, right_input=3571, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3222","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3222, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3222","layer":2},{"info":"number node, value=2075","layer":4},{"info":"number node, value=3897","layer":4},{"info":"compute binary expreesion, left_input=2075, right_input=3897, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3900","layer":3},{"info":"number node, value=2117","layer":4},{"info":"number node, value=5191","layer":4},{"info":"compute binary expreesion, left_input=2117, right_input=5191, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3900, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3222, 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=3222","layer":1},{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1439","layer":4},{"info":"compute unary expreesion, input=1439, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=783","layer":2},{"info":"number node, value=5653","layer":4},{"info":"number node, value=1139","layer":4},{"info":"compute binary expreesion, left_input=5653, right_input=1139, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1139","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1116","layer":3},{"info":"compute binary expreesion, left_input=1139, right_input=1116, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3893997","layer":2},{"info":"compute binary expreesion, left_input=783, right_input=-3893997, 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=3222, 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":"(((∃⊬11E4⪠⩆⊳)⨳⩥⨓∃⊬DD4⋳⪒∃⊬DF3)⨪↰⇹(∃⊬81B⨓∃⊬F39)⊴(∃⊬845≭∃⊬1447))⪢((∃⊬AEB≣⋋)⫡⨏(∃⊬59F⊘))⪢(∃⊬1615⨎∃⊬473⨽(∃⊬45C⨁⊸⫻))=NaN","reverse_text":"NaN=(((∃⊬11E4⪠⩆⊳)⨳⩥⨓∃⊬DD4⋳⪒∃⊬DF3)⨪↰⇹(∃⊬81B⨓∃⊬F39)⊴(∃⊬845≭∃⊬1447))⪢((∃⊬AEB≣⋋)⫡⨏(∃⊬59F⊘))⪢(∃⊬1615⨎∃⊬473⨽(∃⊬45C⨁⊸⫻))","cot":[{"info":"∃⊬11E4⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬DD4⋳⪒∃⊬DF3=∃⊬C96","layer":3},{"info":"∃⊬0⨳⩥⨓∃⊬C96=∃⊬C96","layer":2},{"info":"∃⊬81B⨓∃⊬F39=∃⊬-F3C","layer":3},{"info":"∃⊬845≭∃⊬1447=NaN","layer":3},{"info":"∃⊬-F3C⊴NaN=NaN","layer":2},{"info":"∃⊬C96⨪↰⇹NaN=∃⊬C96","layer":1},{"info":"∃⊬AEB≣⋋=∃⊬0","layer":3},{"info":"∃⊬59F⊘=∃⊬0","layer":3},{"info":"∃⊬0⫡⨏∃⊬0=∃⊬30F","layer":2},{"info":"∃⊬1615⨎∃⊬473=∃⊬473","layer":3},{"info":"∃⊬45C⨁⊸⫻=∃⊬45C","layer":3},{"info":"∃⊬473⨽∃⊬45C=∃⊬-3B6AED","layer":2},{"info":"∃⊬30F⪢∃⊬-3B6AED=NaN","layer":1},{"info":"∃⊬C96⪢NaN=NaN","layer":0}]}
{"id":259,"expression_no_base_symbol":"(($3697$⨽$2606$)⊴($2199$⪨≂$1159$)⋝⋈⪟($2088$*$2165$)∑⇟⊟(⋗⩬⋾$2263$))∑⇟⊟(((⨈⫕$2022$)≎⊠⪸($4973$↺$5112$))⋓(⪝⪂⫅($1257$⫸⊐$3216$)))","expression":"((∃⊬E71⨽∃⊬A2E)⊴(∃⊬897⪨≂∃⊬487)⋝⋈⪟(∃⊬828*∃⊬875)∑⇟⊟(⋗⩬⋾∃⊬8D7))∑⇟⊟(((⨈⫕∃⊬7E6)≎⊠⪸(∃⊬136D↺∃⊬13F8))⋓(⪝⪂⫅(∃⊬4E9⫸⊐∃⊬C90)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15314076,"operation_count":14,"complexity_ratio":1093862.5714285714,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3697,"base":16},"right_expr":{"type":"numeric_atoms","value":2606,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2199,"base":16},"right_expr":{"type":"numeric_atoms","value":1159,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2088,"base":16},"right_expr":{"type":"numeric_atoms","value":2165,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2263,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2022,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4973,"base":16},"right_expr":{"type":"numeric_atoms","value":5112,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":3216,"base":16}}}}},"used_operators":["U7g4x0WXJJ","2DDjHMKMc0","Nsiff2A1zJ","8HhzD0ZcuI","sdazOOVcIp","9HNa5Wba9A","DpFCA1CohY","T2fj7uvVaJ","bJkvcejdHO","megm06wKyl","7j4O788W3g","XTarYq4gQB","mqXw5SEYmG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3697","layer":4},{"info":"number node, value=2606","layer":4},{"info":"compute binary expreesion, left_input=3697, right_input=2606, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-41009931","layer":3},{"info":"number node, value=2199","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=1159, 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=2182","layer":3},{"info":"compute binary expreesion, left_input=-41009931, right_input=2182, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2088","layer":4},{"info":"number node, value=2165","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=2165, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4520520","layer":3},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6789","layer":3},{"info":"compute binary expreesion, left_input=4520520, right_input=-6789, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2022","layer":4},{"info":"compute unary expreesion, input=2022, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=4973","layer":4},{"info":"number node, value=5112","layer":4},{"info":"compute binary expreesion, left_input=4973, right_input=5112, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5112","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5112, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5439","layer":2},{"info":"number node, value=1257","layer":4},{"info":"number node, value=3216","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=3216, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12739","layer":3},{"info":"compute unary expreesion, input=12739, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1872633","layer":2},{"info":"compute binary expreesion, left_input=5439, right_input=-1872633, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬E71⨽∃⊬A2E)⊴(∃⊬897⪨≂∃⊬487)⋝⋈⪟(∃⊬828*∃⊬875)∑⇟⊟(⋗⩬⋾∃⊬8D7))∑⇟⊟(((⨈⫕∃⊬7E6)≎⊠⪸(∃⊬136D↺∃⊬13F8))⋓(⪝⪂⫅(∃⊬4E9⫸⊐∃⊬C90)))=NaN","reverse_text":"NaN=((∃⊬E71⨽∃⊬A2E)⊴(∃⊬897⪨≂∃⊬487)⋝⋈⪟(∃⊬828*∃⊬875)∑⇟⊟(⋗⩬⋾∃⊬8D7))∑⇟⊟(((⨈⫕∃⊬7E6)≎⊠⪸(∃⊬136D↺∃⊬13F8))⋓(⪝⪂⫅(∃⊬4E9⫸⊐∃⊬C90)))","cot":[{"info":"∃⊬E71⨽∃⊬A2E=∃⊬-271C30B","layer":3},{"info":"∃⊬897⪨≂∃⊬487=∃⊬886","layer":3},{"info":"∃⊬-271C30B⊴∃⊬886=NaN","layer":2},{"info":"∃⊬828*∃⊬875=∃⊬44FA48","layer":3},{"info":"⋗⩬⋾∃⊬8D7=∃⊬-1A85","layer":3},{"info":"∃⊬44FA48∑⇟⊟∃⊬-1A85=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"⨈⫕∃⊬7E6=∃⊬-15","layer":3},{"info":"∃⊬136D↺∃⊬13F8=∃⊬13F8","layer":3},{"info":"∃⊬-15≎⊠⪸∃⊬13F8=∃⊬153F","layer":2},{"info":"∃⊬4E9⫸⊐∃⊬C90=∃⊬31C3","layer":3},{"info":"⪝⪂⫅∃⊬31C3=∃⊬-1C92F9","layer":2},{"info":"∃⊬153F⋓∃⊬-1C92F9=∃⊬0","layer":1},{"info":"NaN∑⇟⊟∃⊬0=NaN","layer":0}]}
{"id":260,"expression_no_base_symbol":"($2848$⨓$1767$⋝⋈⪟($6887$⪄$1356$)⪒((↽≂$1881$)/(⪝⪂⫅$3614$)))∲⫓(⨈⫕(⫛⫱⨽$1703$))⇷((⊄⩳↩$3539$)∲⫓$4329$*$1725$)","expression":"(∃⊬B20⨓∃⊬6E7⋝⋈⪟(∃⊬1AE7⪄∃⊬54C)⪒((↽≂∃⊬759)/(⪝⪂⫅∃⊬E1E)))∲⫓(⨈⫕(⫛⫱⨽∃⊬6A7))⇷((⊄⩳↩∃⊬DD3)∲⫓∃⊬10E9*∃⊬6BD)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5867,"operation_count":14,"complexity_ratio":419.07142857142856,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2848,"base":16},"right_expr":{"type":"numeric_atoms","value":1767,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6887,"base":16},"right_expr":{"type":"numeric_atoms","value":1356,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1881,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3614,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1703,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3539,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4329,"base":16},"right_expr":{"type":"numeric_atoms","value":1725,"base":16}}}}},"used_operators":["i8ToyICDmI","f6k1SAg4EE","2DDjHMKMc0","3ViojmjbAp","SUmda5xLS4","XhwjNDsVaA","u6S6b8DprG","XTarYq4gQB","mp7IySMOzn","megm06wKyl","DlLNRPXxWL","8w2t5hMYqp","9HNa5Wba9A"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬6EA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2848","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=1767, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1770","layer":3},{"info":"number node, value=6887","layer":4},{"info":"number node, value=1356","layer":4},{"info":"compute binary expreesion, left_input=6887, right_input=1356, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1020789","layer":3},{"info":"compute binary expreesion, left_input=-1770, right_input=-1020789, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1770","layer":2},{"info":"number node, value=1881","layer":4},{"info":"compute unary expreesion, input=1881, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3762","layer":3},{"info":"number node, value=3614","layer":4},{"info":"compute unary expreesion, input=3614, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-531258","layer":3},{"info":"compute binary expreesion, left_input=-3762, right_input=-531258, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1770, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1770","layer":1},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=3539","layer":4},{"info":"compute unary expreesion, input=3539, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-10617","layer":3},{"info":"number node, value=4329","layer":4},{"info":"number node, value=1725","layer":4},{"info":"compute binary expreesion, left_input=4329, right_input=1725, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7467525","layer":3},{"info":"compute binary expreesion, left_input=-10617, right_input=7467525, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=1770, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1770","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B20⨓∃⊬6E7⋝⋈⪟(∃⊬1AE7⪄∃⊬54C)⪒((↽≂∃⊬759)/(⪝⪂⫅∃⊬E1E)))∲⫓(⨈⫕(⫛⫱⨽∃⊬6A7))⇷((⊄⩳↩∃⊬DD3)∲⫓∃⊬10E9*∃⊬6BD)=∃⊬6EA","reverse_text":"∃⊬6EA=(∃⊬B20⨓∃⊬6E7⋝⋈⪟(∃⊬1AE7⪄∃⊬54C)⪒((↽≂∃⊬759)/(⪝⪂⫅∃⊬E1E)))∲⫓(⨈⫕(⫛⫱⨽∃⊬6A7))⇷((⊄⩳↩∃⊬DD3)∲⫓∃⊬10E9*∃⊬6BD)","cot":[{"info":"∃⊬B20⨓∃⊬6E7=∃⊬-6EA","layer":3},{"info":"∃⊬1AE7⪄∃⊬54C=∃⊬-F9375","layer":3},{"info":"∃⊬-6EA⋝⋈⪟∃⊬-F9375=∃⊬-6EA","layer":2},{"info":"↽≂∃⊬759=∃⊬-EB2","layer":3},{"info":"⪝⪂⫅∃⊬E1E=∃⊬-81B3A","layer":3},{"info":"∃⊬-EB2/∃⊬-81B3A=∃⊬0","layer":2},{"info":"∃⊬-6EA⪒∃⊬0=∃⊬6EA","layer":1},{"info":"⫛⫱⨽∃⊬6A7=∃⊬0","layer":3},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":2},{"info":"⊄⩳↩∃⊬DD3=∃⊬-2979","layer":3},{"info":"∃⊬10E9*∃⊬6BD=∃⊬71F205","layer":3},{"info":"∃⊬-2979∲⫓∃⊬71F205=∃⊬0","layer":2},{"info":"∃⊬-15⇷∃⊬0=∃⊬0","layer":1},{"info":"∃⊬6EA∲⫓∃⊬0=∃⊬6EA","layer":0}]}
{"id":261,"expression_no_base_symbol":"∂((($4689$⋷$3039$)∀⇚≩($3425$⋳⪒$1621$))∧)","expression":"∂(((∃⊬1251⋷∃⊬BDF)∀⇚≩(∃⊬D61⋳⪒∃⊬655))∧)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":9742,"operation_count":5,"complexity_ratio":1948.4,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4689,"base":16},"right_expr":{"type":"numeric_atoms","value":3039,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3425,"base":16},"right_expr":{"type":"numeric_atoms","value":1621,"base":16}}}}},"used_operators":["Uaa54Peajs","z63VuFQld9","LRNGc0VcxI","23Mk6UjR3U","12rbrZMWeM"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4689","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=4689, right_input=3039, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1389","layer":3},{"info":"number node, value=3425","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=1621, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4942","layer":3},{"info":"compute binary expreesion, left_input=1389, right_input=4942, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = 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":"∂(((∃⊬1251⋷∃⊬BDF)∀⇚≩(∃⊬D61⋳⪒∃⊬655))∧)=NaN","reverse_text":"NaN=∂(((∃⊬1251⋷∃⊬BDF)∀⇚≩(∃⊬D61⋳⪒∃⊬655))∧)","cot":[{"info":"∃⊬1251⋷∃⊬BDF=∃⊬56D","layer":3},{"info":"∃⊬D61⋳⪒∃⊬655=∃⊬134E","layer":3},{"info":"∃⊬56D∀⇚≩∃⊬134E=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":262,"expression_no_base_symbol":"(↽≂($3930$↙$1093$))⨟⋌⩍(↔($3390$⫩⊇))↬(∥⊫(⊄⩳↩($2221$⩚⊴⇥$5588$)))","expression":"(↽≂(∃⊬F5A↙∃⊬445))⨟⋌⩍(↔(∃⊬D3E⫩⊇))↬(∥⊫(⊄⩳↩(∃⊬8AD⩚⊴⇥∃⊬15D4)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2180,"operation_count":9,"complexity_ratio":242.22222222222223,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3930,"base":16},"right_expr":{"type":"numeric_atoms","value":1093,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3390,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2221,"base":16},"right_expr":{"type":"numeric_atoms","value":5588,"base":16}}}}},"used_operators":["B5M0gjZbta","rGHVDoGpnC","u6S6b8DprG","yyfyN0ffXY","ruOEQAzv1W","BjRHVeLaeN","P8v4zCKN1o","8w2t5hMYqp","NTOWxs364D"],"dependent_operators":["rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬6052","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3930","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=3930, right_input=1093, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3279","layer":3},{"info":"compute unary expreesion, input=-3279, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=6558","layer":2},{"info":"number node, value=3390","layer":4},{"info":"compute unary expreesion, input=3390, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3348","layer":3},{"info":"compute unary expreesion, input=-3348, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=6558, right_input=-134, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=2221","layer":4},{"info":"number node, value=5588","layer":4},{"info":"compute binary expreesion, left_input=2221, right_input=5588, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7930","layer":3},{"info":"compute unary expreesion, input=-7930, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=23790","layer":2},{"info":"compute unary expreesion, input=23790, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=24658","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=24658, 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=24658","layer":0}],"base":16,"result_base":16,"text":"(↽≂(∃⊬F5A↙∃⊬445))⨟⋌⩍(↔(∃⊬D3E⫩⊇))↬(∥⊫(⊄⩳↩(∃⊬8AD⩚⊴⇥∃⊬15D4)))=∃⊬6052","reverse_text":"∃⊬6052=(↽≂(∃⊬F5A↙∃⊬445))⨟⋌⩍(↔(∃⊬D3E⫩⊇))↬(∥⊫(⊄⩳↩(∃⊬8AD⩚⊴⇥∃⊬15D4)))","cot":[{"info":"∃⊬F5A↙∃⊬445=∃⊬-CCF","layer":3},{"info":"↽≂∃⊬-CCF=∃⊬199E","layer":2},{"info":"∃⊬D3E⫩⊇=∃⊬-D14","layer":3},{"info":"↔∃⊬-D14=∃⊬-86","layer":2},{"info":"∃⊬199E⨟⋌⩍∃⊬-86=∃⊬0","layer":1},{"info":"∃⊬8AD⩚⊴⇥∃⊬15D4=∃⊬-1EFA","layer":3},{"info":"⊄⩳↩∃⊬-1EFA=∃⊬5CEE","layer":2},{"info":"∥⊫∃⊬5CEE=∃⊬6052","layer":1},{"info":"∃⊬0↬∃⊬6052=∃⊬6052","layer":0}]}
{"id":263,"expression_no_base_symbol":"(($7264$∑⇟⊟$4362$⪒$1251$↬$1684$)⇋≉)⩷∴(($2454$/$2395$)⨎($3306$⩨$1807$)%(($1795$⪒$4127$)⫩⊇))","expression":"((∃⊬1C60∑⇟⊟∃⊬110A⪒∃⊬4E3↬∃⊬694)⇋≉)⩷∴((∃⊬996/∃⊬95B)⨎(∃⊬CEA⩨∃⊬70F)%((∃⊬703⪒∃⊬101F)⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26,"operation_count":11,"complexity_ratio":2.3636363636363638,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7264,"base":16},"right_expr":{"type":"numeric_atoms","value":4362,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1251,"base":16},"right_expr":{"type":"numeric_atoms","value":1684,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2454,"base":16},"right_expr":{"type":"numeric_atoms","value":2395,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3306,"base":16},"right_expr":{"type":"numeric_atoms","value":1807,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1795,"base":16},"right_expr":{"type":"numeric_atoms","value":4127,"base":16}}}}},"used_operators":["9FxExcQeMw","XIabStNQrY","f6k1SAg4EE","U7g4x0WXJJ","B5M0gjZbta","k8jYdgA6NY","rJVOvQCfKK","XhwjNDsVaA","2DlMacCsIx","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7264","layer":4},{"info":"number node, value=4362","layer":4},{"info":"compute binary expreesion, left_input=7264, right_input=4362, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=1684, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2454","layer":4},{"info":"number node, value=2395","layer":4},{"info":"compute binary expreesion, left_input=2454, right_input=2395, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=3306","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=1807, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=1795","layer":4},{"info":"number node, value=4127","layer":4},{"info":"compute binary expreesion, left_input=1795, right_input=4127, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5922","layer":3},{"info":"compute unary expreesion, input=-5922, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=5964","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5964, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"((∃⊬1C60∑⇟⊟∃⊬110A⪒∃⊬4E3↬∃⊬694)⇋≉)⩷∴((∃⊬996/∃⊬95B)⨎(∃⊬CEA⩨∃⊬70F)%((∃⊬703⪒∃⊬101F)⫩⊇))=NaN","reverse_text":"NaN=((∃⊬1C60∑⇟⊟∃⊬110A⪒∃⊬4E3↬∃⊬694)⇋≉)⩷∴((∃⊬996/∃⊬95B)⨎(∃⊬CEA⩨∃⊬70F)%((∃⊬703⪒∃⊬101F)⫩⊇))","cot":[{"info":"∃⊬1C60∑⇟⊟∃⊬110A=NaN","layer":3},{"info":"∃⊬4E3↬∃⊬694=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"∃⊬996/∃⊬95B=∃⊬1","layer":3},{"info":"∃⊬CEA⩨∃⊬70F=∃⊬0","layer":3},{"info":"∃⊬1⨎∃⊬0=∃⊬0","layer":2},{"info":"∃⊬703⪒∃⊬101F=∃⊬-1722","layer":3},{"info":"∃⊬-1722⫩⊇=∃⊬174C","layer":2},{"info":"∃⊬0%∃⊬174C=∃⊬0","layer":1},{"info":"NaN⩷∴∃⊬0=NaN","layer":0}]}
{"id":264,"expression_no_base_symbol":"(($4249$/$3392$)⨸⪁$5362$⪢$2174$)↙($2144$∑⇟⊟$1990$⊘)↺(⨈⫕((⨵≀≌$1715$)/$1932$↬$3946$))","expression":"((∃⊬1099/∃⊬D40)⨸⪁∃⊬14F2⪢∃⊬87E)↙(∃⊬860∑⇟⊟∃⊬7C6⊘)↺(⨈⫕((⨵≀≌∃⊬6B3)/∃⊬78C↬∃⊬F6A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6183,"operation_count":11,"complexity_ratio":562.0909090909091,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4249,"base":16},"right_expr":{"type":"numeric_atoms","value":3392,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5362,"base":16},"right_expr":{"type":"numeric_atoms","value":2174,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":1990,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1715,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1932,"base":16},"right_expr":{"type":"numeric_atoms","value":3946,"base":16}}}}},"used_operators":["7j4O788W3g","yyfyN0ffXY","g55IO6H4Gj","XhwjNDsVaA","dWAJyo7jo9","gu96TGCTMs","U7g4x0WXJJ","megm06wKyl","srAu1WTS94","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rGHVDoGpnC"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4249","layer":4},{"info":"number node, value=3392","layer":4},{"info":"compute binary expreesion, left_input=4249, right_input=3392, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=5362","layer":4},{"info":"number node, value=2174","layer":4},{"info":"compute binary expreesion, left_input=5362, right_input=2174, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1990, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1715","layer":4},{"info":"compute unary expreesion, input=1715, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-5145","layer":3},{"info":"number node, value=1932","layer":4},{"info":"number node, value=3946","layer":4},{"info":"compute binary expreesion, left_input=1932, right_input=3946, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5145, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, 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":"((∃⊬1099/∃⊬D40)⨸⪁∃⊬14F2⪢∃⊬87E)↙(∃⊬860∑⇟⊟∃⊬7C6⊘)↺(⨈⫕((⨵≀≌∃⊬6B3)/∃⊬78C↬∃⊬F6A))=∃⊬-15","reverse_text":"∃⊬-15=((∃⊬1099/∃⊬D40)⨸⪁∃⊬14F2⪢∃⊬87E)↙(∃⊬860∑⇟⊟∃⊬7C6⊘)↺(⨈⫕((⨵≀≌∃⊬6B3)/∃⊬78C↬∃⊬F6A))","cot":[{"info":"∃⊬1099/∃⊬D40=∃⊬1","layer":3},{"info":"∃⊬14F2⪢∃⊬87E=NaN","layer":3},{"info":"∃⊬1⨸⪁NaN=NaN","layer":2},{"info":"∃⊬860∑⇟⊟∃⊬7C6=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"⨵≀≌∃⊬6B3=∃⊬-1419","layer":3},{"info":"∃⊬78C↬∃⊬F6A=NaN","layer":3},{"info":"∃⊬-1419/NaN=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"NaN↺∃⊬-15=∃⊬-15","layer":0}]}
{"id":265,"expression_no_base_symbol":"≦∁(≤/($1008$⊉≛↸$1497$⊭↱$1933$⋳⪒$2420$))","expression":"≦∁(≤/(∃⊬3F0⊉≛↸∃⊬5D9⊭↱∃⊬78D⋳⪒∃⊬974))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":17,"operation_count":5,"complexity_ratio":3.4,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1008,"base":16},"right_expr":{"type":"numeric_atoms","value":1497,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1933,"base":16},"right_expr":{"type":"numeric_atoms","value":2420,"base":16}}}}},"used_operators":["9ICcGScMcE","eLAdDNolq6","COABgblf1C","DZ8iAZOCBD","12rbrZMWeM"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬891","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1008","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=1497, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2016","layer":3},{"info":"number node, value=1933","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=2420, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1159","layer":3},{"info":"compute binary expreesion, left_input=2016, right_input=1159, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1709","layer":2},{"info":"compute unary expreesion, input=-1709, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=2193","layer":1},{"info":"compute unary expreesion, input=2193, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2193","layer":0}],"base":16,"result_base":16,"text":"≦∁(≤/(∃⊬3F0⊉≛↸∃⊬5D9⊭↱∃⊬78D⋳⪒∃⊬974))=∃⊬891","reverse_text":"∃⊬891=≦∁(≤/(∃⊬3F0⊉≛↸∃⊬5D9⊭↱∃⊬78D⋳⪒∃⊬974))","cot":[{"info":"∃⊬3F0⊉≛↸∃⊬5D9=∃⊬7E0","layer":3},{"info":"∃⊬78D⋳⪒∃⊬974=∃⊬487","layer":3},{"info":"∃⊬7E0⊭↱∃⊬487=∃⊬-6AD","layer":2},{"info":"≤/∃⊬-6AD=∃⊬891","layer":1},{"info":"≦∁∃⊬891=∃⊬891","layer":0}]}
{"id":266,"expression_no_base_symbol":"∂($2805$↙$4144$⇼⇔∾($3133$⊘))≹⇙⪍(($1151$*$4675$)↙$2560$⪮%⊝$4353$)","expression":"∂(∃⊬AF5↙∃⊬1030⇼⇔∾(∃⊬C3D⊘))≹⇙⪍((∃⊬47F*∃⊬1243)↙∃⊬A00⪮%⊝∃⊬1101)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10769,"operation_count":8,"complexity_ratio":1346.125,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2805,"base":16},"right_expr":{"type":"numeric_atoms","value":4144,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":3133,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1151,"base":16},"right_expr":{"type":"numeric_atoms","value":4675,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2560,"base":16},"right_expr":{"type":"numeric_atoms","value":4353,"base":16}}}}},"used_operators":["Uaa54Peajs","AHs5Up7iyr","tifHPKVTfV","yyfyN0ffXY","gu96TGCTMs","9HNa5Wba9A","IWmyXbctLI"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2805","layer":4},{"info":"number node, value=4144","layer":4},{"info":"compute binary expreesion, left_input=2805, right_input=4144, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-12432","layer":3},{"info":"number node, value=3133","layer":4},{"info":"compute unary expreesion, input=3133, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-12432, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=12432","layer":2},{"info":"number node, value=1151","layer":4},{"info":"number node, value=4675","layer":4},{"info":"compute binary expreesion, left_input=1151, right_input=4675, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=5380925","layer":3},{"info":"number node, value=2560","layer":4},{"info":"number node, value=4353","layer":4},{"info":"compute binary expreesion, left_input=2560, right_input=4353, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5436","layer":3},{"info":"compute binary expreesion, left_input=5380925, right_input=5436, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16308","layer":2},{"info":"compute binary expreesion, left_input=12432, right_input=-16308, 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 = 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":"∂(∃⊬AF5↙∃⊬1030⇼⇔∾(∃⊬C3D⊘))≹⇙⪍((∃⊬47F*∃⊬1243)↙∃⊬A00⪮%⊝∃⊬1101)=NaN","reverse_text":"NaN=∂(∃⊬AF5↙∃⊬1030⇼⇔∾(∃⊬C3D⊘))≹⇙⪍((∃⊬47F*∃⊬1243)↙∃⊬A00⪮%⊝∃⊬1101)","cot":[{"info":"∃⊬AF5↙∃⊬1030=∃⊬-3090","layer":3},{"info":"∃⊬C3D⊘=∃⊬0","layer":3},{"info":"∃⊬-3090⇼⇔∾∃⊬0=∃⊬3090","layer":2},{"info":"∃⊬47F*∃⊬1243=∃⊬521B3D","layer":3},{"info":"∃⊬A00⪮%⊝∃⊬1101=∃⊬153C","layer":3},{"info":"∃⊬521B3D↙∃⊬153C=∃⊬-3FB4","layer":2},{"info":"∃⊬3090≹⇙⪍∃⊬-3FB4=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":267,"expression_no_base_symbol":"((⫛⫱⨽$1324$)⪒$3904$⩨$1816$)∲⫓$2537$≹⇙⪍$1059$⊴($3118$⫥∨⫟$3552$)/(↯⪼($3625$⊦⊿))⪘⫢(($1688$*$1286$)⋫)","expression":"((⫛⫱⨽∃⊬52C)⪒∃⊬F40⩨∃⊬718)∲⫓∃⊬9E9≹⇙⪍∃⊬423⊴(∃⊬C2E⫥∨⫟∃⊬DE0)/(↯⪼(∃⊬E29⊦⊿))⪘⫢((∃⊬698*∃⊬506)⋫)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2909,"operation_count":13,"complexity_ratio":223.76923076923077,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1324,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3904,"base":16},"right_expr":{"type":"numeric_atoms","value":1816,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2537,"base":16},"right_expr":{"type":"numeric_atoms","value":1059,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3118,"base":16},"right_expr":{"type":"numeric_atoms","value":3552,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3625,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1688,"base":16},"right_expr":{"type":"numeric_atoms","value":1286,"base":16}}}}},"used_operators":["XhwjNDsVaA","i8ToyICDmI","f6k1SAg4EE","DlLNRPXxWL","2DlMacCsIx","Nsiff2A1zJ","AHs5Up7iyr","KYD54nUTWz","oacrs7FA3X","8jW3W4yZS5","14qkJME0vr","JL8yIekQnl","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1324","layer":4},{"info":"compute unary expreesion, input=1324, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3904","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=3904, right_input=1816, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=0","layer":2},{"info":"number node, value=2537","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=2537, right_input=1059, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3118","layer":4},{"info":"number node, value=3552","layer":4},{"info":"compute binary expreesion, left_input=3118, right_input=3552, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"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":1},{"info":"number node, value=3625","layer":4},{"info":"compute unary expreesion, input=3625, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10954","layer":3},{"info":"compute unary expreesion, input=-10954, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=20991","layer":2},{"info":"number node, value=1688","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=1286, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2170768","layer":3},{"info":"compute unary expreesion, input=2170768, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20991, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⫛⫱⨽∃⊬52C)⪒∃⊬F40⩨∃⊬718)∲⫓∃⊬9E9≹⇙⪍∃⊬423⊴(∃⊬C2E⫥∨⫟∃⊬DE0)/(↯⪼(∃⊬E29⊦⊿))⪘⫢((∃⊬698*∃⊬506)⋫)=NaN","reverse_text":"NaN=((⫛⫱⨽∃⊬52C)⪒∃⊬F40⩨∃⊬718)∲⫓∃⊬9E9≹⇙⪍∃⊬423⊴(∃⊬C2E⫥∨⫟∃⊬DE0)/(↯⪼(∃⊬E29⊦⊿))⪘⫢((∃⊬698*∃⊬506)⋫)","cot":[{"info":"⫛⫱⨽∃⊬52C=∃⊬0","layer":3},{"info":"∃⊬F40⩨∃⊬718=∃⊬0","layer":3},{"info":"∃⊬0⪒∃⊬0=∃⊬0","layer":2},{"info":"∃⊬9E9≹⇙⪍∃⊬423=NaN","layer":3},{"info":"∃⊬C2E⫥∨⫟∃⊬DE0=NaN","layer":3},{"info":"NaN⊴NaN=NaN","layer":2},{"info":"∃⊬0∲⫓NaN=NaN","layer":1},{"info":"∃⊬E29⊦⊿=∃⊬-2ACA","layer":3},{"info":"↯⪼∃⊬-2ACA=∃⊬51FF","layer":2},{"info":"∃⊬698*∃⊬506=∃⊬211F90","layer":3},{"info":"∃⊬211F90⋫=NaN","layer":2},{"info":"∃⊬51FF⪘⫢NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":268,"expression_no_base_symbol":"(+⊝⨔($3818$⊴$6514$%$4877$⫸⊐$2023$))⋷(($2004$*$1234$)⨐⩸⫘($4592$⫸⊐$3086$)⪨≂(⋗⩬⋾($2247$⋷$3581$)))","expression":"(+⊝⨔(∃⊬EEA⊴∃⊬1972%∃⊬130D⫸⊐∃⊬7E7))⋷((∃⊬7D4*∃⊬4D2)⨐⩸⫘(∃⊬11F0⫸⊐∃⊬C0E)⪨≂(⋗⩬⋾(∃⊬8C7⋷∃⊬DFD)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7838,"operation_count":11,"complexity_ratio":712.5454545454545,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3818,"base":16},"right_expr":{"type":"numeric_atoms","value":6514,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4877,"base":16},"right_expr":{"type":"numeric_atoms","value":2023,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2004,"base":16},"right_expr":{"type":"numeric_atoms","value":1234,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4592,"base":16},"right_expr":{"type":"numeric_atoms","value":3086,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2247,"base":16},"right_expr":{"type":"numeric_atoms","value":3581,"base":16}}}}},"used_operators":["23Mk6UjR3U","DhbWaqg5eL","k8jYdgA6NY","Nsiff2A1zJ","mqXw5SEYmG","sdazOOVcIp","fu6greOZ01","9HNa5Wba9A","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3818","layer":4},{"info":"number node, value=6514","layer":4},{"info":"compute binary expreesion, left_input=3818, right_input=6514, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4877","layer":4},{"info":"number node, value=2023","layer":4},{"info":"compute binary expreesion, left_input=4877, right_input=2023, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=7967","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7967, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"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":1},{"info":"number node, value=2004","layer":4},{"info":"number node, value=1234","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=1234, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2472936","layer":3},{"info":"number node, value=4592","layer":4},{"info":"number node, value=3086","layer":4},{"info":"compute binary expreesion, left_input=4592, right_input=3086, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12219","layer":3},{"info":"compute binary expreesion, left_input=2472936, right_input=12219, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2247","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=3581, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4915","layer":3},{"info":"compute unary expreesion, input=4915, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14745","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14745, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1522, 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":"(+⊝⨔(∃⊬EEA⊴∃⊬1972%∃⊬130D⫸⊐∃⊬7E7))⋷((∃⊬7D4*∃⊬4D2)⨐⩸⫘(∃⊬11F0⫸⊐∃⊬C0E)⪨≂(⋗⩬⋾(∃⊬8C7⋷∃⊬DFD)))=NaN","reverse_text":"NaN=(+⊝⨔(∃⊬EEA⊴∃⊬1972%∃⊬130D⫸⊐∃⊬7E7))⋷((∃⊬7D4*∃⊬4D2)⨐⩸⫘(∃⊬11F0⫸⊐∃⊬C0E)⪨≂(⋗⩬⋾(∃⊬8C7⋷∃⊬DFD)))","cot":[{"info":"∃⊬EEA⊴∃⊬1972=NaN","layer":3},{"info":"∃⊬130D⫸⊐∃⊬7E7=∃⊬1F1F","layer":3},{"info":"NaN%∃⊬1F1F=NaN","layer":2},{"info":"+⊝⨔NaN=∃⊬5F2","layer":1},{"info":"∃⊬7D4*∃⊬4D2=∃⊬25BBE8","layer":3},{"info":"∃⊬11F0⫸⊐∃⊬C0E=∃⊬2FBB","layer":3},{"info":"∃⊬25BBE8⨐⩸⫘∃⊬2FBB=NaN","layer":2},{"info":"∃⊬8C7⋷∃⊬DFD=∃⊬1333","layer":3},{"info":"⋗⩬⋾∃⊬1333=∃⊬-3999","layer":2},{"info":"NaN⪨≂∃⊬-3999=NaN","layer":1},{"info":"∃⊬5F2⋷NaN=NaN","layer":0}]}
{"id":269,"expression_no_base_symbol":"((⫛⫱⨽($1367$⊭↱$3854$))↛⩡⫤)⋓(($1219$⋝⋈⪟$4851$)↬($3715$⫥∨⫟$2071$)⨐⩸⫘(($1891$∲⫓$7827$)≫≃))","expression":"((⫛⫱⨽(∃⊬557⊭↱∃⊬F0E))↛⩡⫤)⋓((∃⊬4C3⋝⋈⪟∃⊬12F3)↬(∃⊬E83⫥∨⫟∃⊬817)⨐⩸⫘((∃⊬763∲⫓∃⊬1E93)≫≃))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1675,"operation_count":10,"complexity_ratio":167.5,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1367,"base":16},"right_expr":{"type":"numeric_atoms","value":3854,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1219,"base":16},"right_expr":{"type":"numeric_atoms","value":4851,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3715,"base":16},"right_expr":{"type":"numeric_atoms","value":2071,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1891,"base":16},"right_expr":{"type":"numeric_atoms","value":7827,"base":16}}}}},"used_operators":["T2fj7uvVaJ","FU0Cs4j7VP","DlLNRPXxWL","COABgblf1C","fu6greOZ01","B5M0gjZbta","2DDjHMKMc0","KYD54nUTWz","X99M06cbEe","i8ToyICDmI"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1367","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=1367, right_input=3854, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4979","layer":3},{"info":"compute unary expreesion, input=4979, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=0","layer":1},{"info":"number node, value=1219","layer":4},{"info":"number node, value=4851","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=4851, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1219","layer":3},{"info":"number node, value=3715","layer":4},{"info":"number node, value=2071","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=2071, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1219, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1891","layer":4},{"info":"number node, value=7827","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=7827, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1401","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1401, 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 = 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":"((⫛⫱⨽(∃⊬557⊭↱∃⊬F0E))↛⩡⫤)⋓((∃⊬4C3⋝⋈⪟∃⊬12F3)↬(∃⊬E83⫥∨⫟∃⊬817)⨐⩸⫘((∃⊬763∲⫓∃⊬1E93)≫≃))=NaN","reverse_text":"NaN=((⫛⫱⨽(∃⊬557⊭↱∃⊬F0E))↛⩡⫤)⋓((∃⊬4C3⋝⋈⪟∃⊬12F3)↬(∃⊬E83⫥∨⫟∃⊬817)⨐⩸⫘((∃⊬763∲⫓∃⊬1E93)≫≃))","cot":[{"info":"∃⊬557⊭↱∃⊬F0E=∃⊬1373","layer":3},{"info":"⫛⫱⨽∃⊬1373=∃⊬0","layer":2},{"info":"∃⊬0↛⩡⫤=∃⊬0","layer":1},{"info":"∃⊬4C3⋝⋈⪟∃⊬12F3=∃⊬4C3","layer":3},{"info":"∃⊬E83⫥∨⫟∃⊬817=NaN","layer":3},{"info":"∃⊬4C3↬NaN=NaN","layer":2},{"info":"∃⊬763∲⫓∃⊬1E93=∃⊬0","layer":3},{"info":"∃⊬0≫≃=∃⊬579","layer":2},{"info":"NaN⨐⩸⫘∃⊬579=NaN","layer":1},{"info":"∃⊬0⋓NaN=NaN","layer":0}]}
{"id":270,"expression_no_base_symbol":"($1639$≹⇙⪍$5683$⊉≛↸($8125$*$8084$))⪢(⨞⊢$3637$)⊴$1423$≹⇙⪍$7802$⨸⪁(≦∁(-$3460$)⋓($1358$⫡⨏$4462$))","expression":"(∃⊬667≹⇙⪍∃⊬1633⊉≛↸(∃⊬1FBD*∃⊬1F94))⪢(⨞⊢∃⊬E35)⊴∃⊬58F≹⇙⪍∃⊬1E7A⨸⪁(≦∁(-∃⊬D84)⋓(∃⊬54E⫡⨏∃⊬116E))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8149,"operation_count":12,"complexity_ratio":679.0833333333334,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1639,"base":16},"right_expr":{"type":"numeric_atoms","value":5683,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8125,"base":16},"right_expr":{"type":"numeric_atoms","value":8084,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3637,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1423,"base":16},"right_expr":{"type":"numeric_atoms","value":7802,"base":16}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3460,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1358,"base":16},"right_expr":{"type":"numeric_atoms","value":4462,"base":16}}}}},"used_operators":["g55IO6H4Gj","dWAJyo7jo9","DZ8iAZOCBD","AHs5Up7iyr","9HNa5Wba9A","Nsiff2A1zJ","xUOZtlo3hN","9ICcGScMcE","T2fj7uvVaJ","t8gj7n24qd","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"number node, value=5683","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=5683, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=8125","layer":4},{"info":"number node, value=8084","layer":4},{"info":"compute binary expreesion, left_input=8125, right_input=8084, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=65682500","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=65682500, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=3637","layer":4},{"info":"compute unary expreesion, input=3637, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3811","layer":3},{"info":"number node, value=1423","layer":4},{"info":"number node, value=7802","layer":4},{"info":"compute binary expreesion, left_input=1423, right_input=7802, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3811, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=3460","layer":4},{"info":"compute unary expreesion, input=3460, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3460","layer":3},{"info":"number node, value=1358","layer":4},{"info":"number node, value=4462","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=4462, 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=16497","layer":3},{"info":"compute binary expreesion, left_input=-3460, right_input=16497, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-320, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬667≹⇙⪍∃⊬1633⊉≛↸(∃⊬1FBD*∃⊬1F94))⪢(⨞⊢∃⊬E35)⊴∃⊬58F≹⇙⪍∃⊬1E7A⨸⪁(≦∁(-∃⊬D84)⋓(∃⊬54E⫡⨏∃⊬116E))=NaN","reverse_text":"NaN=(∃⊬667≹⇙⪍∃⊬1633⊉≛↸(∃⊬1FBD*∃⊬1F94))⪢(⨞⊢∃⊬E35)⊴∃⊬58F≹⇙⪍∃⊬1E7A⨸⪁(≦∁(-∃⊬D84)⋓(∃⊬54E⫡⨏∃⊬116E))","cot":[{"info":"∃⊬667≹⇙⪍∃⊬1633=NaN","layer":3},{"info":"∃⊬1FBD*∃⊬1F94=∃⊬3EA3C44","layer":3},{"info":"NaN⊉≛↸∃⊬3EA3C44=NaN","layer":2},{"info":"⨞⊢∃⊬E35=∃⊬-EE3","layer":3},{"info":"∃⊬58F≹⇙⪍∃⊬1E7A=NaN","layer":3},{"info":"∃⊬-EE3⊴NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"-∃⊬D84=∃⊬-D84","layer":3},{"info":"∃⊬54E⫡⨏∃⊬116E=∃⊬4071","layer":3},{"info":"∃⊬-D84⋓∃⊬4071=∃⊬0","layer":2},{"info":"≦∁∃⊬0=∃⊬-140","layer":1},{"info":"NaN⨸⪁∃⊬-140=NaN","layer":0}]}
{"id":271,"expression_no_base_symbol":"((⨑⩽⪐(⪲⇎$2015$))*(⊥($2346$⪒$1447$)))⊴(($3131$%$1052$⪨≂$1095$+⇶⊼$3842$)≧⫂∧(($1077$-$2257$)⋓($1929$*$1835$)))","expression":"((⨑⩽⪐(⪲⇎∃⊬7DF))*(⊥(∃⊬92A⪒∃⊬5A7)))⊴((∃⊬C3B%∃⊬41C⪨≂∃⊬447+⇶⊼∃⊬F02)≧⫂∧((∃⊬435-∃⊬8D1)⋓(∃⊬789*∃⊬72B)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2348,"operation_count":13,"complexity_ratio":180.6153846153846,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2015,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2346,"base":16},"right_expr":{"type":"numeric_atoms","value":1447,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3131,"base":16},"right_expr":{"type":"numeric_atoms","value":1052,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1095,"base":16},"right_expr":{"type":"numeric_atoms","value":3842,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1077,"base":16},"right_expr":{"type":"numeric_atoms","value":2257,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1929,"base":16},"right_expr":{"type":"numeric_atoms","value":1835,"base":16}}}}},"used_operators":["Nsiff2A1zJ","9HNa5Wba9A","AF7qkfDlqP","XPYlsWDdGa","Q3PJZHRvZv","f6k1SAg4EE","Ph9nP6C5qx","sdazOOVcIp","k8jYdgA6NY","TpPTUOHfaN","T2fj7uvVaJ","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2015","layer":4},{"info":"compute unary expreesion, input=2015, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4030","layer":3},{"info":"compute unary expreesion, input=4030, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3757","layer":2},{"info":"number node, value=2346","layer":4},{"info":"number node, value=1447","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1447, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3793","layer":3},{"info":"compute unary expreesion, input=-3793, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3757, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3131","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=3131, right_input=1052, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1027","layer":3},{"info":"number node, value=1095","layer":4},{"info":"number node, value=3842","layer":4},{"info":"compute binary expreesion, left_input=1095, right_input=3842, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1027, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=1077","layer":4},{"info":"number node, value=2257","layer":4},{"info":"compute binary expreesion, left_input=1077, right_input=2257, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1180","layer":3},{"info":"number node, value=1929","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1929, right_input=1835, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3539715","layer":3},{"info":"compute binary expreesion, left_input=-1180, right_input=3539715, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨑⩽⪐(⪲⇎∃⊬7DF))*(⊥(∃⊬92A⪒∃⊬5A7)))⊴((∃⊬C3B%∃⊬41C⪨≂∃⊬447+⇶⊼∃⊬F02)≧⫂∧((∃⊬435-∃⊬8D1)⋓(∃⊬789*∃⊬72B)))=NaN","reverse_text":"NaN=((⨑⩽⪐(⪲⇎∃⊬7DF))*(⊥(∃⊬92A⪒∃⊬5A7)))⊴((∃⊬C3B%∃⊬41C⪨≂∃⊬447+⇶⊼∃⊬F02)≧⫂∧((∃⊬435-∃⊬8D1)⋓(∃⊬789*∃⊬72B)))","cot":[{"info":"⪲⇎∃⊬7DF=∃⊬FBE","layer":3},{"info":"⨑⩽⪐∃⊬FBE=∃⊬-EAD","layer":2},{"info":"∃⊬92A⪒∃⊬5A7=∃⊬-ED1","layer":3},{"info":"⊥∃⊬-ED1=NaN","layer":2},{"info":"∃⊬-EAD*NaN=NaN","layer":1},{"info":"∃⊬C3B%∃⊬41C=∃⊬403","layer":3},{"info":"∃⊬447+⇶⊼∃⊬F02=NaN","layer":3},{"info":"∃⊬403⪨≂NaN=NaN","layer":2},{"info":"∃⊬435-∃⊬8D1=∃⊬-49C","layer":3},{"info":"∃⊬789*∃⊬72B=∃⊬360303","layer":3},{"info":"∃⊬-49C⋓∃⊬360303=∃⊬0","layer":2},{"info":"NaN≧⫂∧∃⊬0=∃⊬-1D9","layer":1},{"info":"NaN⊴∃⊬-1D9=NaN","layer":0}]}
{"id":272,"expression_no_base_symbol":"($2565$-$6964$⋷$3404$⋥≓≎$1341$⪨≂$2337$⩚⊴⇥$1956$⨽$4323$⪘⫢$5394$)⪘⫢(⨈⫕($2956$/$1031$)⇷(↯⪼$1637$))","expression":"(∃⊬A05-∃⊬1B34⋷∃⊬D4C⋥≓≎∃⊬53D⪨≂∃⊬921⩚⊴⇥∃⊬7A4⨽∃⊬10E3⪘⫢∃⊬1512)⪘⫢(⨈⫕(∃⊬B8C/∃⊬407)⇷(↯⪼∃⊬665))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4915,"operation_count":12,"complexity_ratio":409.5833333333333,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2565,"base":16},"right_expr":{"type":"numeric_atoms","value":6964,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3404,"base":16},"right_expr":{"type":"numeric_atoms","value":1341,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2337,"base":16},"right_expr":{"type":"numeric_atoms","value":1956,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4323,"base":16},"right_expr":{"type":"numeric_atoms","value":5394,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2956,"base":16},"right_expr":{"type":"numeric_atoms","value":1031,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1637,"base":16}}}}},"used_operators":["oacrs7FA3X","sdazOOVcIp","23Mk6UjR3U","rysDP5nf3Z","Qy55tPpLXF","8HhzD0ZcuI","NTOWxs364D","megm06wKyl","mp7IySMOzn","XhwjNDsVaA","8jW3W4yZS5"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":4},{"info":"number node, value=6964","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=6964, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4399","layer":3},{"info":"number node, value=3404","layer":4},{"info":"number node, value=1341","layer":4},{"info":"compute binary expreesion, left_input=3404, right_input=1341, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-689","layer":3},{"info":"compute binary expreesion, left_input=-4399, right_input=-689, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8798","layer":2},{"info":"number node, value=2337","layer":4},{"info":"number node, value=1956","layer":4},{"info":"compute binary expreesion, left_input=2337, right_input=1956, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4414","layer":3},{"info":"number node, value=4323","layer":4},{"info":"number node, value=5394","layer":4},{"info":"compute binary expreesion, left_input=4323, right_input=5394, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8522","layer":3},{"info":"compute binary expreesion, left_input=-4414, right_input=8522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-58474440","layer":2},{"info":"compute binary expreesion, left_input=8798, right_input=-58474440, 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=116966578","layer":1},{"info":"number node, value=2956","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=2956, right_input=1031, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":2},{"info":"compute unary expreesion, input=-42, 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=116966578, right_input=-21, 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":"(∃⊬A05-∃⊬1B34⋷∃⊬D4C⋥≓≎∃⊬53D⪨≂∃⊬921⩚⊴⇥∃⊬7A4⨽∃⊬10E3⪘⫢∃⊬1512)⪘⫢(⨈⫕(∃⊬B8C/∃⊬407)⇷(↯⪼∃⊬665))=∃⊬0","reverse_text":"∃⊬0=(∃⊬A05-∃⊬1B34⋷∃⊬D4C⋥≓≎∃⊬53D⪨≂∃⊬921⩚⊴⇥∃⊬7A4⨽∃⊬10E3⪘⫢∃⊬1512)⪘⫢(⨈⫕(∃⊬B8C/∃⊬407)⇷(↯⪼∃⊬665))","cot":[{"info":"∃⊬A05-∃⊬1B34=∃⊬-112F","layer":3},{"info":"∃⊬D4C⋥≓≎∃⊬53D=∃⊬-2B1","layer":3},{"info":"∃⊬-112F⋷∃⊬-2B1=∃⊬225E","layer":2},{"info":"∃⊬921⩚⊴⇥∃⊬7A4=∃⊬-113E","layer":3},{"info":"∃⊬10E3⪘⫢∃⊬1512=∃⊬214A","layer":3},{"info":"∃⊬-113E⨽∃⊬214A=∃⊬-37C3FC8","layer":2},{"info":"∃⊬225E⪨≂∃⊬-37C3FC8=∃⊬6F8C4B2","layer":1},{"info":"∃⊬B8C/∃⊬407=∃⊬2","layer":3},{"info":"↯⪼∃⊬665=∃⊬-15","layer":3},{"info":"∃⊬2⇷∃⊬-15=∃⊬-2A","layer":2},{"info":"⨈⫕∃⊬-2A=∃⊬-15","layer":1},{"info":"∃⊬6F8C4B2⪘⫢∃⊬-15=∃⊬0","layer":0}]}
{"id":273,"expression_no_base_symbol":"((⫓⪴$1673$)∀⇚≩($1606$%$3956$))⨪↰⇹((↣≠⋷$1302$)⫥∨⫟($2428$⊉≛↸$4781$))⋷(($4502$≫≃)+$2322$⇷$3033$)∲⫓(($3621$⨸⪁$3625$)⊘)","expression":"((⫓⪴∃⊬689)∀⇚≩(∃⊬646%∃⊬F74))⨪↰⇹((↣≠⋷∃⊬516)⫥∨⫟(∃⊬97C⊉≛↸∃⊬12AD))⋷((∃⊬1196≫≃)+∃⊬912⇷∃⊬BD9)∲⫓((∃⊬E25⨸⪁∃⊬E29)⊘)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":34382,"operation_count":14,"complexity_ratio":2455.8571428571427,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1673,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1606,"base":16},"right_expr":{"type":"numeric_atoms","value":3956,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1302,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2428,"base":16},"right_expr":{"type":"numeric_atoms","value":4781,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":4502,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2322,"base":16},"right_expr":{"type":"numeric_atoms","value":3033,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3621,"base":16},"right_expr":{"type":"numeric_atoms","value":3625,"base":16}}}}},"used_operators":["23Mk6UjR3U","tmPS8pqC7x","LRNGc0VcxI","eLxqMNBOBk","k8jYdgA6NY","KYD54nUTWz","Asc51vEJeQ","DZ8iAZOCBD","i8ToyICDmI","W4YGzv6Whe","X99M06cbEe","mp7IySMOzn","gu96TGCTMs","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","X99M06cbEe","9HNa5Wba9A","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1673","layer":4},{"info":"compute unary expreesion, input=1673, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2798929","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=3956","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=3956, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1606","layer":3},{"info":"compute binary expreesion, left_input=2798929, right_input=1606, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2428","layer":4},{"info":"number node, value=4781","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=4781, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4856","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4856, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=4502","layer":4},{"info":"compute unary expreesion, input=4502, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=10405","layer":3},{"info":"number node, value=2322","layer":4},{"info":"number node, value=3033","layer":4},{"info":"compute binary expreesion, left_input=2322, right_input=3033, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6066","layer":3},{"info":"compute binary expreesion, left_input=10405, right_input=6066, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16471","layer":2},{"info":"number node, value=3621","layer":4},{"info":"number node, value=3625","layer":4},{"info":"compute binary expreesion, left_input=3621, right_input=3625, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14492","layer":3},{"info":"compute unary expreesion, input=14492, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=16471, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=16471","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16471, 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":"((⫓⪴∃⊬689)∀⇚≩(∃⊬646%∃⊬F74))⨪↰⇹((↣≠⋷∃⊬516)⫥∨⫟(∃⊬97C⊉≛↸∃⊬12AD))⋷((∃⊬1196≫≃)+∃⊬912⇷∃⊬BD9)∲⫓((∃⊬E25⨸⪁∃⊬E29)⊘)=NaN","reverse_text":"NaN=((⫓⪴∃⊬689)∀⇚≩(∃⊬646%∃⊬F74))⨪↰⇹((↣≠⋷∃⊬516)⫥∨⫟(∃⊬97C⊉≛↸∃⊬12AD))⋷((∃⊬1196≫≃)+∃⊬912⇷∃⊬BD9)∲⫓((∃⊬E25⨸⪁∃⊬E29)⊘)","cot":[{"info":"⫓⪴∃⊬689=∃⊬2AB551","layer":3},{"info":"∃⊬646%∃⊬F74=∃⊬646","layer":3},{"info":"∃⊬2AB551∀⇚≩∃⊬646=NaN","layer":2},{"info":"↣≠⋷∃⊬516=NaN","layer":3},{"info":"∃⊬97C⊉≛↸∃⊬12AD=∃⊬12F8","layer":3},{"info":"NaN⫥∨⫟∃⊬12F8=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"∃⊬1196≫≃=∃⊬28A5","layer":3},{"info":"∃⊬912⇷∃⊬BD9=∃⊬17B2","layer":3},{"info":"∃⊬28A5+∃⊬17B2=∃⊬4057","layer":2},{"info":"∃⊬E25⨸⪁∃⊬E29=∃⊬389C","layer":3},{"info":"∃⊬389C⊘=∃⊬0","layer":2},{"info":"∃⊬4057∲⫓∃⊬0=∃⊬4057","layer":1},{"info":"NaN⋷∃⊬4057=NaN","layer":0}]}
{"id":274,"expression_no_base_symbol":"⊙↵-(⇁⨣⪵($3999$↪⪝)⨐⩸⫘$2557$⪮%⊝$4289$)","expression":"⊙↵-(⇁⨣⪵(∃⊬F9F↪⪝)⨐⩸⫘∃⊬9FD⪮%⊝∃⊬10C1)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":738,"operation_count":5,"complexity_ratio":147.6,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3999,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2557,"base":16},"right_expr":{"type":"numeric_atoms","value":4289,"base":16}}}}},"used_operators":["oWn0xqSxBt","inkyxCbjAn","fu6greOZ01","l07mrZUIn9","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3999","layer":4},{"info":"compute unary expreesion, input=3999, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=244666818","layer":3},{"info":"number node, value=2557","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=4289, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5430","layer":3},{"info":"compute binary expreesion, left_input=244666818, right_input=5430, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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":"⊙↵-(⇁⨣⪵(∃⊬F9F↪⪝)⨐⩸⫘∃⊬9FD⪮%⊝∃⊬10C1)=NaN","reverse_text":"NaN=⊙↵-(⇁⨣⪵(∃⊬F9F↪⪝)⨐⩸⫘∃⊬9FD⪮%⊝∃⊬10C1)","cot":[{"info":"∃⊬F9F↪⪝=∃⊬E9551C2","layer":3},{"info":"∃⊬9FD⪮%⊝∃⊬10C1=∃⊬1536","layer":3},{"info":"∃⊬E9551C2⨐⩸⫘∃⊬1536=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":275,"expression_no_base_symbol":"($6527$⋥≓≎$1012$)∼($1282$⨽$5187$)≎⊠⪸((⨵≀≌$4864$)⋳⪒($1931$⋥≓≎$1315$))%(↩(∂($2786$≦≮≮)))","expression":"(∃⊬197F⋥≓≎∃⊬3F4)∼(∃⊬502⨽∃⊬1443)≎⊠⪸((⨵≀≌∃⊬1300)⋳⪒(∃⊬78B⋥≓≎∃⊬523))%(↩(∂(∃⊬AE2≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1846,"operation_count":11,"complexity_ratio":167.8181818181818,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6527,"base":16},"right_expr":{"type":"numeric_atoms","value":1012,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1282,"base":16},"right_expr":{"type":"numeric_atoms","value":5187,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":4864,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1931,"base":16},"right_expr":{"type":"numeric_atoms","value":1315,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2786,"base":16}}}}},"used_operators":["k8jYdgA6NY","bJkvcejdHO","DyGG3AbaNP","Qy55tPpLXF","8HhzD0ZcuI","12rbrZMWeM","srAu1WTS94","jLgFTUHLKL","Uaa54Peajs","D4vGDi5EA2"],"dependent_operators":["rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-F1D1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6527","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=1012, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4470","layer":3},{"info":"number node, value=1282","layer":4},{"info":"number node, value=5187","layer":4},{"info":"compute binary expreesion, left_input=1282, right_input=5187, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4944819","layer":3},{"info":"compute binary expreesion, left_input=-4470, right_input=-4944819, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=4864","layer":4},{"info":"compute unary expreesion, input=4864, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14592","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=1315, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=732","layer":3},{"info":"compute binary expreesion, left_input=-14592, right_input=732, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-30203","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-30203, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8358","layer":3},{"info":"compute unary expreesion, input=-8358, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=8094","layer":2},{"info":"compute unary expreesion, input=8094, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-61972","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-61972, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-61905","layer":0}],"base":16,"result_base":16,"text":"(∃⊬197F⋥≓≎∃⊬3F4)∼(∃⊬502⨽∃⊬1443)≎⊠⪸((⨵≀≌∃⊬1300)⋳⪒(∃⊬78B⋥≓≎∃⊬523))%(↩(∂(∃⊬AE2≦≮≮)))=∃⊬-F1D1","reverse_text":"∃⊬-F1D1=(∃⊬197F⋥≓≎∃⊬3F4)∼(∃⊬502⨽∃⊬1443)≎⊠⪸((⨵≀≌∃⊬1300)⋳⪒(∃⊬78B⋥≓≎∃⊬523))%(↩(∂(∃⊬AE2≦≮≮)))","cot":[{"info":"∃⊬197F⋥≓≎∃⊬3F4=∃⊬-1176","layer":3},{"info":"∃⊬502⨽∃⊬1443=∃⊬-4B73B3","layer":3},{"info":"∃⊬-1176∼∃⊬-4B73B3=NaN","layer":2},{"info":"⨵≀≌∃⊬1300=∃⊬-3900","layer":3},{"info":"∃⊬78B⋥≓≎∃⊬523=∃⊬2DC","layer":3},{"info":"∃⊬-3900⋳⪒∃⊬2DC=∃⊬-75FB","layer":2},{"info":"NaN≎⊠⪸∃⊬-75FB=∃⊬43","layer":1},{"info":"∃⊬AE2≦≮≮=∃⊬-20A6","layer":3},{"info":"∂∃⊬-20A6=∃⊬1F9E","layer":2},{"info":"↩∃⊬1F9E=∃⊬-F214","layer":1},{"info":"∃⊬43%∃⊬-F214=∃⊬-F1D1","layer":0}]}
{"id":276,"expression_no_base_symbol":"-($1130$⪢$1616$≭(-$5206$)/(($4453$⊘)/(+⊝⨔$2168$)))","expression":"-(∃⊬46A⪢∃⊬650≭(-∃⊬1456)/((∃⊬1165⊘)/(+⊝⨔∃⊬878)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1680,"operation_count":8,"complexity_ratio":210.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1130,"base":16},"right_expr":{"type":"numeric_atoms","value":1616,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5206,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":4453,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2168,"base":16}}}}},"used_operators":["t8gj7n24qd","XhwjNDsVaA","rxpJgHHUmx","dWAJyo7jo9","gu96TGCTMs","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1130","layer":4},{"info":"number node, value=1616","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=1616, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5206","layer":4},{"info":"compute unary expreesion, input=5206, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5206","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5206, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4453","layer":4},{"info":"compute unary expreesion, input=4453, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1522, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"-(∃⊬46A⪢∃⊬650≭(-∃⊬1456)/((∃⊬1165⊘)/(+⊝⨔∃⊬878)))=NaN","reverse_text":"NaN=-(∃⊬46A⪢∃⊬650≭(-∃⊬1456)/((∃⊬1165⊘)/(+⊝⨔∃⊬878)))","cot":[{"info":"∃⊬46A⪢∃⊬650=NaN","layer":3},{"info":"-∃⊬1456=∃⊬-1456","layer":3},{"info":"NaN≭∃⊬-1456=NaN","layer":2},{"info":"∃⊬1165⊘=∃⊬0","layer":3},{"info":"+⊝⨔∃⊬878=∃⊬5F2","layer":3},{"info":"∃⊬0/∃⊬5F2=∃⊬0","layer":2},{"info":"NaN/∃⊬0=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":277,"expression_no_base_symbol":"((↣≠⋷$2385$)+$2171$∼$3264$⨵⪆(⋗⩬⋾($3865$⫩⊇)))⩨($5405$⨐⩸⫘$1553$⊭↱$6567$⋓$2036$%(⇁⨣⪵$1461$)⨪↰⇹($1258$⨎$2246$))","expression":"((↣≠⋷∃⊬951)+∃⊬87B∼∃⊬CC0⨵⪆(⋗⩬⋾(∃⊬F19⫩⊇)))⩨(∃⊬151D⨐⩸⫘∃⊬611⊭↱∃⊬19A7⋓∃⊬7F4%(⇁⨣⪵∃⊬5B5)⨪↰⇹(∃⊬4EA⨎∃⊬8C6))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":82,"operation_count":14,"complexity_ratio":5.857142857142857,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2385,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2171,"base":16},"right_expr":{"type":"numeric_atoms","value":3264,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3865,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5405,"base":16},"right_expr":{"type":"numeric_atoms","value":1553,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":6567,"base":16},"right_expr":{"type":"numeric_atoms","value":2036,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1461,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1258,"base":16},"right_expr":{"type":"numeric_atoms","value":2246,"base":16}}}}},"used_operators":["2DlMacCsIx","2DQ55sFlQl","W4YGzv6Whe","Asc51vEJeQ","DyGG3AbaNP","DpFCA1CohY","BjRHVeLaeN","k8jYdgA6NY","COABgblf1C","fu6greOZ01","T2fj7uvVaJ","tmPS8pqC7x","inkyxCbjAn","rJVOvQCfKK"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2385","layer":4},{"info":"compute unary expreesion, input=2385, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2171","layer":4},{"info":"number node, value=3264","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=3264, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3865","layer":4},{"info":"compute unary expreesion, input=3865, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3823","layer":3},{"info":"compute unary expreesion, input=-3823, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=11469","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11469, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=5405","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=5405, right_input=1553, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6567","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=6567, right_input=2036, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1461","layer":4},{"info":"compute unary expreesion, input=1461, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1258","layer":4},{"info":"number node, value=2246","layer":4},{"info":"compute binary expreesion, left_input=1258, right_input=2246, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2246","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2246, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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":"((↣≠⋷∃⊬951)+∃⊬87B∼∃⊬CC0⨵⪆(⋗⩬⋾(∃⊬F19⫩⊇)))⩨(∃⊬151D⨐⩸⫘∃⊬611⊭↱∃⊬19A7⋓∃⊬7F4%(⇁⨣⪵∃⊬5B5)⨪↰⇹(∃⊬4EA⨎∃⊬8C6))=NaN","reverse_text":"NaN=((↣≠⋷∃⊬951)+∃⊬87B∼∃⊬CC0⨵⪆(⋗⩬⋾(∃⊬F19⫩⊇)))⩨(∃⊬151D⨐⩸⫘∃⊬611⊭↱∃⊬19A7⋓∃⊬7F4%(⇁⨣⪵∃⊬5B5)⨪↰⇹(∃⊬4EA⨎∃⊬8C6))","cot":[{"info":"↣≠⋷∃⊬951=NaN","layer":3},{"info":"∃⊬87B∼∃⊬CC0=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"∃⊬F19⫩⊇=∃⊬-EEF","layer":3},{"info":"⋗⩬⋾∃⊬-EEF=∃⊬2CCD","layer":2},{"info":"NaN⨵⪆∃⊬2CCD=∃⊬A0","layer":1},{"info":"∃⊬151D⨐⩸⫘∃⊬611=NaN","layer":3},{"info":"∃⊬19A7⋓∃⊬7F4=∃⊬0","layer":3},{"info":"NaN⊭↱∃⊬0=NaN","layer":2},{"info":"⇁⨣⪵∃⊬5B5=NaN","layer":3},{"info":"∃⊬4EA⨎∃⊬8C6=∃⊬8C6","layer":3},{"info":"NaN⨪↰⇹∃⊬8C6=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"∃⊬A0⩨NaN=NaN","layer":0}]}
{"id":278,"expression_no_base_symbol":"($5484$+⇶⊼$1505$/$2301$⪮%⊝$1855$)⨪↰⇹($2628$∼$3270$⩨$3355$⫥∨⫟$1004$)⪠⩆⊳","expression":"(∃⊬156C+⇶⊼∃⊬5E1/∃⊬8FD⪮%⊝∃⊬73F)⨪↰⇹(∃⊬A44∼∃⊬CC6⩨∃⊬D1B⫥∨⫟∃⊬3EC)⪠⩆⊳","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":229,"operation_count":8,"complexity_ratio":28.625,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5484,"base":16},"right_expr":{"type":"numeric_atoms","value":1505,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2301,"base":16},"right_expr":{"type":"numeric_atoms","value":1855,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2628,"base":16},"right_expr":{"type":"numeric_atoms","value":3270,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3355,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}}}}},"used_operators":["JLbD19bQDL","tmPS8pqC7x","XhwjNDsVaA","TpPTUOHfaN","IWmyXbctLI","2DlMacCsIx","DyGG3AbaNP","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5484","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=5484, right_input=1505, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2301","layer":4},{"info":"number node, value=1855","layer":4},{"info":"compute binary expreesion, left_input=2301, right_input=1855, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4918","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4918, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2628","layer":4},{"info":"number node, value=3270","layer":4},{"info":"compute binary expreesion, left_input=2628, right_input=3270, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3355","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3355, right_input=1004, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬156C+⇶⊼∃⊬5E1/∃⊬8FD⪮%⊝∃⊬73F)⨪↰⇹(∃⊬A44∼∃⊬CC6⩨∃⊬D1B⫥∨⫟∃⊬3EC)⪠⩆⊳=NaN","reverse_text":"NaN=(∃⊬156C+⇶⊼∃⊬5E1/∃⊬8FD⪮%⊝∃⊬73F)⨪↰⇹(∃⊬A44∼∃⊬CC6⩨∃⊬D1B⫥∨⫟∃⊬3EC)⪠⩆⊳","cot":[{"info":"∃⊬156C+⇶⊼∃⊬5E1=NaN","layer":3},{"info":"∃⊬8FD⪮%⊝∃⊬73F=∃⊬1336","layer":3},{"info":"NaN/∃⊬1336=NaN","layer":2},{"info":"∃⊬A44∼∃⊬CC6=NaN","layer":3},{"info":"∃⊬D1B⫥∨⫟∃⊬3EC=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"NaN⪠⩆⊳=NaN","layer":0}]}
{"id":279,"expression_no_base_symbol":"(($1029$⨁⊸⫻)⋥≓≎$3399$⨐⩸⫘$5241$)∀⇚≩(($3961$⇼⇔∾$5544$)↺$9068$⨟⋌⩍$4322$)⩤","expression":"((∃⊬405⨁⊸⫻)⋥≓≎∃⊬D47⨐⩸⫘∃⊬1479)∀⇚≩((∃⊬F79⇼⇔∾∃⊬15A8)↺∃⊬236C⨟⋌⩍∃⊬10E2)⩤","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13,"operation_count":8,"complexity_ratio":1.625,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1029,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3399,"base":16},"right_expr":{"type":"numeric_atoms","value":5241,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3961,"base":16},"right_expr":{"type":"numeric_atoms","value":5544,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9068,"base":16},"right_expr":{"type":"numeric_atoms","value":4322,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","LRNGc0VcxI","Qy55tPpLXF","glklzrTFfD","fu6greOZ01","7j4O788W3g","tifHPKVTfV","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1029","layer":3},{"info":"number node, value=3399","layer":4},{"info":"number node, value=5241","layer":4},{"info":"compute binary expreesion, left_input=3399, right_input=5241, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1029, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=3961","layer":4},{"info":"number node, value=5544","layer":4},{"info":"compute binary expreesion, left_input=3961, right_input=5544, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1583","layer":3},{"info":"number node, value=9068","layer":4},{"info":"number node, value=4322","layer":4},{"info":"compute binary expreesion, left_input=9068, right_input=4322, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1583, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬405⨁⊸⫻)⋥≓≎∃⊬D47⨐⩸⫘∃⊬1479)∀⇚≩((∃⊬F79⇼⇔∾∃⊬15A8)↺∃⊬236C⨟⋌⩍∃⊬10E2)⩤=NaN","reverse_text":"NaN=((∃⊬405⨁⊸⫻)⋥≓≎∃⊬D47⨐⩸⫘∃⊬1479)∀⇚≩((∃⊬F79⇼⇔∾∃⊬15A8)↺∃⊬236C⨟⋌⩍∃⊬10E2)⩤","cot":[{"info":"∃⊬405⨁⊸⫻=∃⊬405","layer":3},{"info":"∃⊬D47⨐⩸⫘∃⊬1479=NaN","layer":3},{"info":"∃⊬405⋥≓≎NaN=NaN","layer":2},{"info":"∃⊬F79⇼⇔∾∃⊬15A8=∃⊬62F","layer":3},{"info":"∃⊬236C⨟⋌⩍∃⊬10E2=NaN","layer":3},{"info":"∃⊬62F↺NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":280,"expression_no_base_symbol":"((-$6575$⨽$2053$)⋥≓≎($1578$≭$1820$⪨≂(∂$6859$)))≹⇙⪍((∥⊫$1028$)⨸⪁($3845$⇼⇔∾$1950$)*((≦∁$2205$)⩠))","expression":"((-∃⊬19AF⨽∃⊬805)⋥≓≎(∃⊬62A≭∃⊬71C⪨≂(∂∃⊬1ACB)))≹⇙⪍((∥⊫∃⊬404)⨸⪁(∃⊬F05⇼⇔∾∃⊬79E)*((≦∁∃⊬89D)⩠))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6626,"operation_count":13,"complexity_ratio":509.6923076923077,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6575,"base":16},"right_expr":{"type":"numeric_atoms","value":2053,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1578,"base":16},"right_expr":{"type":"numeric_atoms","value":1820,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6859,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1028,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3845,"base":16},"right_expr":{"type":"numeric_atoms","value":1950,"base":16}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2205,"base":16}}}}},"used_operators":["AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","8HhzD0ZcuI","sdazOOVcIp","rxpJgHHUmx","Uaa54Peajs","9HNa5Wba9A","g55IO6H4Gj","P8v4zCKN1o","tifHPKVTfV","sJAwomhLZr","9ICcGScMcE"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6575","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=6575, right_input=2053, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-129696720","layer":3},{"info":"compute unary expreesion, input=-129696720, op_id = t8gj7n24qd, unary_op_definition = 'None', output=129696720","layer":2},{"info":"number node, value=1578","layer":4},{"info":"number node, value=1820","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=1820, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6859","layer":4},{"info":"compute unary expreesion, input=6859, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=129696720, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1896","layer":3},{"info":"number node, value=3845","layer":4},{"info":"number node, value=1950","layer":4},{"info":"compute binary expreesion, left_input=3845, right_input=1950, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1895","layer":3},{"info":"compute binary expreesion, left_input=1896, right_input=-1895, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2","layer":2},{"info":"number node, value=2205","layer":4},{"info":"compute unary expreesion, input=2205, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2205","layer":3},{"info":"compute unary expreesion, input=2205, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"((-∃⊬19AF⨽∃⊬805)⋥≓≎(∃⊬62A≭∃⊬71C⪨≂(∂∃⊬1ACB)))≹⇙⪍((∥⊫∃⊬404)⨸⪁(∃⊬F05⇼⇔∾∃⊬79E)*((≦∁∃⊬89D)⩠))=NaN","reverse_text":"NaN=((-∃⊬19AF⨽∃⊬805)⋥≓≎(∃⊬62A≭∃⊬71C⪨≂(∂∃⊬1ACB)))≹⇙⪍((∥⊫∃⊬404)⨸⪁(∃⊬F05⇼⇔∾∃⊬79E)*((≦∁∃⊬89D)⩠))","cot":[{"info":"∃⊬19AF⨽∃⊬805=∃⊬-7BB03D0","layer":3},{"info":"-∃⊬-7BB03D0=∃⊬7BB03D0","layer":2},{"info":"∃⊬62A≭∃⊬71C=NaN","layer":3},{"info":"∂∃⊬1ACB=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"∃⊬7BB03D0⋥≓≎NaN=NaN","layer":1},{"info":"∥⊫∃⊬404=∃⊬768","layer":3},{"info":"∃⊬F05⇼⇔∾∃⊬79E=∃⊬-767","layer":3},{"info":"∃⊬768⨸⪁∃⊬-767=∃⊬2","layer":2},{"info":"≦∁∃⊬89D=∃⊬89D","layer":3},{"info":"∃⊬89D⩠=∃⊬0","layer":2},{"info":"∃⊬2*∃⊬0=∃⊬0","layer":1},{"info":"NaN≹⇙⪍∃⊬0=NaN","layer":0}]}
{"id":281,"expression_no_base_symbol":"((⨰⫟⨤$8105$)%$1049$⋝⋈⪟$1439$)⨪↰⇹($4098$∲⫓$1138$)⪘⫢($2405$⋳⪒$2525$)⨐⩸⫘($1741$⨎$2485$⊉≛↸$4016$+⇶⊼$2364$)≧⫂∧($3804$⪛$3888$+$8217$∼$2793$)","expression":"((⨰⫟⨤∃⊬1FA9)%∃⊬419⋝⋈⪟∃⊬59F)⨪↰⇹(∃⊬1002∲⫓∃⊬472)⪘⫢(∃⊬965⋳⪒∃⊬9DD)⨐⩸⫘(∃⊬6CD⨎∃⊬9B5⊉≛↸∃⊬FB0+⇶⊼∃⊬93C)≧⫂∧(∃⊬EDC⪛∃⊬F30+∃⊬2019∼∃⊬AE9)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":31786,"operation_count":15,"complexity_ratio":2119.0666666666666,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":8105,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":1439,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4098,"base":16},"right_expr":{"type":"numeric_atoms","value":1138,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2405,"base":16},"right_expr":{"type":"numeric_atoms","value":2525,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1741,"base":16},"right_expr":{"type":"numeric_atoms","value":2485,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4016,"base":16},"right_expr":{"type":"numeric_atoms","value":2364,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3804,"base":16},"right_expr":{"type":"numeric_atoms","value":3888,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8217,"base":16},"right_expr":{"type":"numeric_atoms","value":2793,"base":16}}}}},"used_operators":["fu6greOZ01","tmPS8pqC7x","k8jYdgA6NY","Tw270M8GLb","2DDjHMKMc0","oacrs7FA3X","i8ToyICDmI","12rbrZMWeM","Ph9nP6C5qx","DZ8iAZOCBD","rJVOvQCfKK","TpPTUOHfaN","W4YGzv6Whe","uFcxV4UQCh","DyGG3AbaNP"],"dependent_operators":["3ViojmjbAp","rJVOvQCfKK","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8105","layer":4},{"info":"compute unary expreesion, input=8105, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=1439, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1049","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1049, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4098","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=4098, right_input=1138, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2405","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2525, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1998","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1998, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1156, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1741","layer":4},{"info":"number node, value=2485","layer":4},{"info":"compute binary expreesion, left_input=1741, right_input=2485, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2485","layer":3},{"info":"number node, value=4016","layer":4},{"info":"number node, value=2364","layer":4},{"info":"compute binary expreesion, left_input=4016, right_input=2364, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2485, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4970","layer":2},{"info":"number node, value=3804","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=3804, right_input=3888, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3804","layer":3},{"info":"number node, value=8217","layer":4},{"info":"number node, value=2793","layer":4},{"info":"compute binary expreesion, left_input=8217, right_input=2793, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3804, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4970, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤∃⊬1FA9)%∃⊬419⋝⋈⪟∃⊬59F)⨪↰⇹(∃⊬1002∲⫓∃⊬472)⪘⫢(∃⊬965⋳⪒∃⊬9DD)⨐⩸⫘(∃⊬6CD⨎∃⊬9B5⊉≛↸∃⊬FB0+⇶⊼∃⊬93C)≧⫂∧(∃⊬EDC⪛∃⊬F30+∃⊬2019∼∃⊬AE9)=NaN","reverse_text":"NaN=((⨰⫟⨤∃⊬1FA9)%∃⊬419⋝⋈⪟∃⊬59F)⨪↰⇹(∃⊬1002∲⫓∃⊬472)⪘⫢(∃⊬965⋳⪒∃⊬9DD)⨐⩸⫘(∃⊬6CD⨎∃⊬9B5⊉≛↸∃⊬FB0+⇶⊼∃⊬93C)≧⫂∧(∃⊬EDC⪛∃⊬F30+∃⊬2019∼∃⊬AE9)","cot":[{"info":"⨰⫟⨤∃⊬1FA9=NaN","layer":3},{"info":"∃⊬419⋝⋈⪟∃⊬59F=∃⊬419","layer":3},{"info":"NaN%∃⊬419=NaN","layer":2},{"info":"∃⊬1002∲⫓∃⊬472=∃⊬0","layer":3},{"info":"∃⊬965⋳⪒∃⊬9DD=∃⊬7CE","layer":3},{"info":"∃⊬0⪘⫢∃⊬7CE=∃⊬-484","layer":2},{"info":"NaN⨪↰⇹∃⊬-484=NaN","layer":1},{"info":"∃⊬6CD⨎∃⊬9B5=∃⊬9B5","layer":3},{"info":"∃⊬FB0+⇶⊼∃⊬93C=NaN","layer":3},{"info":"∃⊬9B5⊉≛↸NaN=∃⊬136A","layer":2},{"info":"∃⊬EDC⪛∃⊬F30=∃⊬EDC","layer":3},{"info":"∃⊬2019∼∃⊬AE9=NaN","layer":3},{"info":"∃⊬EDC+NaN=NaN","layer":2},{"info":"∃⊬136A≧⫂∧NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":282,"expression_no_base_symbol":"(-$1277$⋥≓≎$6243$⊭↱$3761$⨽$4027$)⊉≛↸($2263$⪘⫢$5055$)∼($2405$∲⫓$1882$)≎⊠⪸(∂($2162$⋷$4830$))","expression":"(-∃⊬4FD⋥≓≎∃⊬1863⊭↱∃⊬EB1⨽∃⊬FBB)⊉≛↸(∃⊬8D7⪘⫢∃⊬13BF)∼(∃⊬965∲⫓∃⊬75A)≎⊠⪸(∂(∃⊬872⋷∃⊬12DE))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3922,"operation_count":11,"complexity_ratio":356.54545454545456,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1277,"base":16},"right_expr":{"type":"numeric_atoms","value":6243,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3761,"base":16},"right_expr":{"type":"numeric_atoms","value":4027,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2263,"base":16},"right_expr":{"type":"numeric_atoms","value":5055,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2405,"base":16},"right_expr":{"type":"numeric_atoms","value":1882,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2162,"base":16},"right_expr":{"type":"numeric_atoms","value":4830,"base":16}}}}},"used_operators":["DZ8iAZOCBD","t8gj7n24qd","COABgblf1C","Qy55tPpLXF","8HhzD0ZcuI","bJkvcejdHO","DyGG3AbaNP","oacrs7FA3X","i8ToyICDmI","Uaa54Peajs","23Mk6UjR3U"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬A1F6466","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"number node, value=6243","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=6243, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11242","layer":3},{"info":"number node, value=3761","layer":4},{"info":"number node, value=4027","layer":4},{"info":"compute binary expreesion, left_input=3761, right_input=4027, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42446130","layer":3},{"info":"compute binary expreesion, left_input=11242, right_input=-42446130, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-84914739","layer":2},{"info":"compute unary expreesion, input=-84914739, op_id = t8gj7n24qd, unary_op_definition = 'None', output=84914739","layer":1},{"info":"number node, value=2263","layer":4},{"info":"number node, value=5055","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=5055, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4402","layer":3},{"info":"number node, value=2405","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=1882, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4402, right_input=0, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=20","layer":2},{"info":"number node, value=2162","layer":4},{"info":"number node, value=4830","layer":4},{"info":"compute binary expreesion, left_input=2162, right_input=4830, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7498","layer":3},{"info":"compute unary expreesion, input=7498, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=84914739, right_input=67, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=169829478","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬4FD⋥≓≎∃⊬1863⊭↱∃⊬EB1⨽∃⊬FBB)⊉≛↸(∃⊬8D7⪘⫢∃⊬13BF)∼(∃⊬965∲⫓∃⊬75A)≎⊠⪸(∂(∃⊬872⋷∃⊬12DE))=∃⊬A1F6466","reverse_text":"∃⊬A1F6466=(-∃⊬4FD⋥≓≎∃⊬1863⊭↱∃⊬EB1⨽∃⊬FBB)⊉≛↸(∃⊬8D7⪘⫢∃⊬13BF)∼(∃⊬965∲⫓∃⊬75A)≎⊠⪸(∂(∃⊬872⋷∃⊬12DE))","cot":[{"info":"∃⊬4FD⋥≓≎∃⊬1863=∃⊬2BEA","layer":3},{"info":"∃⊬EB1⨽∃⊬FBB=∃⊬-287AD32","layer":3},{"info":"∃⊬2BEA⊭↱∃⊬-287AD32=∃⊬-50FB233","layer":2},{"info":"-∃⊬-50FB233=∃⊬50FB233","layer":1},{"info":"∃⊬8D7⪘⫢∃⊬13BF=∃⊬1132","layer":3},{"info":"∃⊬965∲⫓∃⊬75A=∃⊬0","layer":3},{"info":"∃⊬1132∼∃⊬0=∃⊬14","layer":2},{"info":"∃⊬872⋷∃⊬12DE=∃⊬1D4A","layer":3},{"info":"∂∃⊬1D4A=NaN","layer":2},{"info":"∃⊬14≎⊠⪸NaN=∃⊬43","layer":1},{"info":"∃⊬50FB233⊉≛↸∃⊬43=∃⊬A1F6466","layer":0}]}
{"id":283,"expression_no_base_symbol":"(↽≂$1064$⨓$1271$⨓($2300$⨎$1908$))⋥≓≎(↔(⪲⇎$4037$))⊴($1516$⨰$1175$*$5718$≹⇙⪍$6084$)","expression":"(↽≂∃⊬428⨓∃⊬4F7⨓(∃⊬8FC⨎∃⊬774))⋥≓≎(↔(⪲⇎∃⊬FC5))⊴(∃⊬5EC⨰∃⊬497*∃⊬1656≹⇙⪍∃⊬17C4)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3223,"operation_count":11,"complexity_ratio":293.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1064,"base":16},"right_expr":{"type":"numeric_atoms","value":1271,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2300,"base":16},"right_expr":{"type":"numeric_atoms","value":1908,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4037,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1516,"base":16},"right_expr":{"type":"numeric_atoms","value":1175,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5718,"base":16},"right_expr":{"type":"numeric_atoms","value":6084,"base":16}}}}},"used_operators":["Qy55tPpLXF","u6S6b8DprG","3ViojmjbAp","rJVOvQCfKK","Nsiff2A1zJ","ruOEQAzv1W","XPYlsWDdGa","9HNa5Wba9A","eewbuw0ToL","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1271, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1274","layer":3},{"info":"number node, value=2300","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=2300, right_input=1908, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1908","layer":3},{"info":"compute binary expreesion, left_input=-1274, right_input=1908, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1911","layer":2},{"info":"compute unary expreesion, input=-1911, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=3822","layer":1},{"info":"number node, value=4037","layer":4},{"info":"compute unary expreesion, input=4037, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8074","layer":3},{"info":"compute unary expreesion, input=8074, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7801","layer":2},{"info":"number node, value=1516","layer":4},{"info":"number node, value=1175","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=1175, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=351","layer":3},{"info":"number node, value=5718","layer":4},{"info":"number node, value=6084","layer":4},{"info":"compute binary expreesion, left_input=5718, right_input=6084, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=351, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7801, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3822, 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":"(↽≂∃⊬428⨓∃⊬4F7⨓(∃⊬8FC⨎∃⊬774))⋥≓≎(↔(⪲⇎∃⊬FC5))⊴(∃⊬5EC⨰∃⊬497*∃⊬1656≹⇙⪍∃⊬17C4)=NaN","reverse_text":"NaN=(↽≂∃⊬428⨓∃⊬4F7⨓(∃⊬8FC⨎∃⊬774))⋥≓≎(↔(⪲⇎∃⊬FC5))⊴(∃⊬5EC⨰∃⊬497*∃⊬1656≹⇙⪍∃⊬17C4)","cot":[{"info":"∃⊬428⨓∃⊬4F7=∃⊬-4FA","layer":3},{"info":"∃⊬8FC⨎∃⊬774=∃⊬774","layer":3},{"info":"∃⊬-4FA⨓∃⊬774=∃⊬-777","layer":2},{"info":"↽≂∃⊬-777=∃⊬EEE","layer":1},{"info":"⪲⇎∃⊬FC5=∃⊬1F8A","layer":3},{"info":"↔∃⊬1F8A=∃⊬-1E79","layer":2},{"info":"∃⊬5EC⨰∃⊬497=∃⊬15F","layer":3},{"info":"∃⊬1656≹⇙⪍∃⊬17C4=NaN","layer":3},{"info":"∃⊬15F*NaN=NaN","layer":2},{"info":"∃⊬-1E79⊴NaN=NaN","layer":1},{"info":"∃⊬EEE⋥≓≎NaN=NaN","layer":0}]}
{"id":284,"expression_no_base_symbol":"≤/(≤/$1722$⇷$1248$)⫸⊐(⇁⨣⪵$2271$⨪↰⇹$5418$)","expression":"≤/(≤/∃⊬6BA⇷∃⊬4E0)⫸⊐(⇁⨣⪵∃⊬8DF⨪↰⇹∃⊬152A)","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":26392,"operation_count":6,"complexity_ratio":4398.666666666667,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1722,"base":16},"right_expr":{"type":"numeric_atoms","value":1248,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2271,"base":16},"right_expr":{"type":"numeric_atoms","value":5418,"base":16}}}}},"used_operators":["eLAdDNolq6","mqXw5SEYmG","mp7IySMOzn","inkyxCbjAn","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","rJVOvQCfKK"],"result":"∃⊬-1E4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1722","layer":4},{"info":"number node, value=1248","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=1248, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2496","layer":3},{"info":"compute unary expreesion, input=2496, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2012","layer":2},{"info":"number node, value=2271","layer":4},{"info":"number node, value=5418","layer":4},{"info":"compute binary expreesion, left_input=2271, right_input=5418, 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=2271","layer":3},{"info":"compute unary expreesion, input=2271, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2012, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute unary expreesion, input=968, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-484","layer":0}],"base":16,"result_base":16,"text":"≤/(≤/∃⊬6BA⇷∃⊬4E0)⫸⊐(⇁⨣⪵∃⊬8DF⨪↰⇹∃⊬152A)=∃⊬-1E4","reverse_text":"∃⊬-1E4=≤/(≤/∃⊬6BA⇷∃⊬4E0)⫸⊐(⇁⨣⪵∃⊬8DF⨪↰⇹∃⊬152A)","cot":[{"info":"∃⊬6BA⇷∃⊬4E0=∃⊬9C0","layer":3},{"info":"≤/∃⊬9C0=∃⊬-7DC","layer":2},{"info":"∃⊬8DF⨪↰⇹∃⊬152A=∃⊬8DF","layer":3},{"info":"⇁⨣⪵∃⊬8DF=NaN","layer":2},{"info":"∃⊬-7DC⫸⊐NaN=∃⊬3C8","layer":1},{"info":"≤/∃⊬3C8=∃⊬-1E4","layer":0}]}
{"id":285,"expression_no_base_symbol":"(↩(($5416$⪒$4771$)∲⫓$2704$⫸⊐$2831$))∀⇚≩(($7980$⩷∴$2941$⪨≂$1665$⋳⪒$3485$)⋝⋈⪟($2741$≹⇙⪍$8418$⪒$1255$+⇶⊼$1036$))","expression":"(↩((∃⊬1528⪒∃⊬12A3)∲⫓∃⊬A90⫸⊐∃⊬B0F))∀⇚≩((∃⊬1F2C⩷∴∃⊬B7D⪨≂∃⊬681⋳⪒∃⊬D9D)⋝⋈⪟(∃⊬AB5≹⇙⪍∃⊬20E2⪒∃⊬4E7+⇶⊼∃⊬40C))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":33982,"operation_count":12,"complexity_ratio":2831.8333333333335,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5416,"base":16},"right_expr":{"type":"numeric_atoms","value":4771,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2704,"base":16},"right_expr":{"type":"numeric_atoms","value":2831,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7980,"base":16},"right_expr":{"type":"numeric_atoms","value":2941,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1665,"base":16},"right_expr":{"type":"numeric_atoms","value":3485,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2741,"base":16},"right_expr":{"type":"numeric_atoms","value":8418,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1255,"base":16},"right_expr":{"type":"numeric_atoms","value":1036,"base":16}}}}},"used_operators":["LRNGc0VcxI","jLgFTUHLKL","i8ToyICDmI","f6k1SAg4EE","mqXw5SEYmG","2DDjHMKMc0","sdazOOVcIp","9FxExcQeMw","12rbrZMWeM","AHs5Up7iyr","TpPTUOHfaN"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5416","layer":4},{"info":"number node, value=4771","layer":4},{"info":"compute binary expreesion, left_input=5416, right_input=4771, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10187","layer":3},{"info":"number node, value=2704","layer":4},{"info":"number node, value=2831","layer":4},{"info":"compute binary expreesion, left_input=2704, right_input=2831, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11199","layer":3},{"info":"compute binary expreesion, left_input=-10187, right_input=11199, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4844","layer":1},{"info":"number node, value=7980","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=7980, right_input=2941, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=10046","layer":3},{"info":"number node, value=1665","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=1665, right_input=3485, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-442","layer":3},{"info":"compute binary expreesion, left_input=10046, right_input=-442, 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=21078","layer":2},{"info":"number node, value=2741","layer":4},{"info":"number node, value=8418","layer":4},{"info":"compute binary expreesion, left_input=2741, right_input=8418, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1036","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1036, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=21078, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4844, 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":"(↩((∃⊬1528⪒∃⊬12A3)∲⫓∃⊬A90⫸⊐∃⊬B0F))∀⇚≩((∃⊬1F2C⩷∴∃⊬B7D⪨≂∃⊬681⋳⪒∃⊬D9D)⋝⋈⪟(∃⊬AB5≹⇙⪍∃⊬20E2⪒∃⊬4E7+⇶⊼∃⊬40C))=NaN","reverse_text":"NaN=(↩((∃⊬1528⪒∃⊬12A3)∲⫓∃⊬A90⫸⊐∃⊬B0F))∀⇚≩((∃⊬1F2C⩷∴∃⊬B7D⪨≂∃⊬681⋳⪒∃⊬D9D)⋝⋈⪟(∃⊬AB5≹⇙⪍∃⊬20E2⪒∃⊬4E7+⇶⊼∃⊬40C))","cot":[{"info":"∃⊬1528⪒∃⊬12A3=∃⊬-27CB","layer":3},{"info":"∃⊬A90⫸⊐∃⊬B0F=∃⊬2BBF","layer":3},{"info":"∃⊬-27CB∲⫓∃⊬2BBF=∃⊬0","layer":2},{"info":"↩∃⊬0=∃⊬12EC","layer":1},{"info":"∃⊬1F2C⩷∴∃⊬B7D=∃⊬273E","layer":3},{"info":"∃⊬681⋳⪒∃⊬D9D=∃⊬-1BA","layer":3},{"info":"∃⊬273E⪨≂∃⊬-1BA=∃⊬5256","layer":2},{"info":"∃⊬AB5≹⇙⪍∃⊬20E2=NaN","layer":3},{"info":"∃⊬4E7+⇶⊼∃⊬40C=NaN","layer":3},{"info":"NaN⪒NaN=NaN","layer":2},{"info":"∃⊬5256⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬12EC∀⇚≩NaN=NaN","layer":0}]}
{"id":286,"expression_no_base_symbol":"⩦⩻⨪(($1763$⨳⩥⨓$5803$)≧⫂∧(⊄⩳↩$2989$)⪄($3289$+$2698$)∑⇟⊟($1301$⊪))","expression":"⩦⩻⨪((∃⊬6E3⨳⩥⨓∃⊬16AB)≧⫂∧(⊄⩳↩∃⊬BAD)⪄(∃⊬CD9+∃⊬A8A)∑⇟⊟(∃⊬515⊪))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":141,"operation_count":8,"complexity_ratio":17.625,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":5803,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2989,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3289,"base":16},"right_expr":{"type":"numeric_atoms","value":2698,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1301,"base":16}}}}},"used_operators":["2td37pGCOC","SUmda5xLS4","Ph9nP6C5qx","nCS4ZIUYfx","8w2t5hMYqp","U7g4x0WXJJ","W4YGzv6Whe","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬-1DADF1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1763","layer":4},{"info":"number node, value=5803","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=5803, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4040","layer":3},{"info":"number node, value=2989","layer":4},{"info":"compute unary expreesion, input=2989, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8967","layer":3},{"info":"compute binary expreesion, left_input=4040, right_input=-8967, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13007","layer":2},{"info":"number node, value=3289","layer":4},{"info":"number node, value=2698","layer":4},{"info":"compute binary expreesion, left_input=3289, right_input=2698, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5987","layer":3},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5987, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=5987","layer":2},{"info":"compute binary expreesion, left_input=13007, right_input=5987, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1945073","layer":1},{"info":"compute unary expreesion, input=-1945073, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-1945073","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪((∃⊬6E3⨳⩥⨓∃⊬16AB)≧⫂∧(⊄⩳↩∃⊬BAD)⪄(∃⊬CD9+∃⊬A8A)∑⇟⊟(∃⊬515⊪))=∃⊬-1DADF1","reverse_text":"∃⊬-1DADF1=⩦⩻⨪((∃⊬6E3⨳⩥⨓∃⊬16AB)≧⫂∧(⊄⩳↩∃⊬BAD)⪄(∃⊬CD9+∃⊬A8A)∑⇟⊟(∃⊬515⊪))","cot":[{"info":"∃⊬6E3⨳⩥⨓∃⊬16AB=∃⊬FC8","layer":3},{"info":"⊄⩳↩∃⊬BAD=∃⊬-2307","layer":3},{"info":"∃⊬FC8≧⫂∧∃⊬-2307=∃⊬32CF","layer":2},{"info":"∃⊬CD9+∃⊬A8A=∃⊬1763","layer":3},{"info":"∃⊬515⊪=∃⊬0","layer":3},{"info":"∃⊬1763∑⇟⊟∃⊬0=∃⊬1763","layer":2},{"info":"∃⊬32CF⪄∃⊬1763=∃⊬-1DADF1","layer":1},{"info":"⩦⩻⨪∃⊬-1DADF1=∃⊬-1DADF1","layer":0}]}
{"id":287,"expression_no_base_symbol":"⨑⩽⪐(($2249$⪄$7006$)⫥∨⫟(∂$2013$))⨪↰⇹(⊥($1014$∧))","expression":"⨑⩽⪐((∃⊬8C9⪄∃⊬1B5E)⫥∨⫟(∂∃⊬7DD))⨪↰⇹(⊥(∃⊬3F6∧))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":265,"operation_count":7,"complexity_ratio":37.857142857142854,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2249,"base":16},"right_expr":{"type":"numeric_atoms","value":7006,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2013,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1014,"base":16}}}}},"used_operators":["AF7qkfDlqP","tmPS8pqC7x","KYD54nUTWz","SUmda5xLS4","Uaa54Peajs","Q3PJZHRvZv","z63VuFQld9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2249","layer":4},{"info":"number node, value=7006","layer":4},{"info":"compute binary expreesion, left_input=2249, right_input=7006, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-356965","layer":3},{"info":"number node, value=2013","layer":4},{"info":"compute unary expreesion, input=2013, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-356965, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⨑⩽⪐((∃⊬8C9⪄∃⊬1B5E)⫥∨⫟(∂∃⊬7DD))⨪↰⇹(⊥(∃⊬3F6∧))=NaN","reverse_text":"NaN=⨑⩽⪐((∃⊬8C9⪄∃⊬1B5E)⫥∨⫟(∂∃⊬7DD))⨪↰⇹(⊥(∃⊬3F6∧))","cot":[{"info":"∃⊬8C9⪄∃⊬1B5E=∃⊬-57265","layer":3},{"info":"∂∃⊬7DD=NaN","layer":3},{"info":"∃⊬-57265⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬3F6∧=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⨪↰⇹NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":288,"expression_no_base_symbol":"⨑⩽⪐(⨵≀≌($1751$⫌⩹⨱))⨽$4720$⇷$5238$⨐⩸⫘($1200$⫌⩹⨱)","expression":"⨑⩽⪐(⨵≀≌(∃⊬6D7⫌⩹⨱))⨽∃⊬1270⇷∃⊬1476⨐⩸⫘(∃⊬4B0⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":80829,"operation_count":7,"complexity_ratio":11547.0,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1751,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4720,"base":16},"right_expr":{"type":"numeric_atoms","value":5238,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1200,"base":16}}}}},"used_operators":["AF7qkfDlqP","8HhzD0ZcuI","srAu1WTS94","EBcxylXtPf","fu6greOZ01","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1751","layer":4},{"info":"compute unary expreesion, input=1751, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4903","layer":3},{"info":"compute unary expreesion, input=4903, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14709","layer":2},{"info":"number node, value=4720","layer":4},{"info":"number node, value=5238","layer":4},{"info":"compute binary expreesion, left_input=4720, right_input=5238, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10476","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3801","layer":3},{"info":"compute binary expreesion, left_input=10476, right_input=3801, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14709, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐(⨵≀≌(∃⊬6D7⫌⩹⨱))⨽∃⊬1270⇷∃⊬1476⨐⩸⫘(∃⊬4B0⫌⩹⨱)=NaN","reverse_text":"NaN=⨑⩽⪐(⨵≀≌(∃⊬6D7⫌⩹⨱))⨽∃⊬1270⇷∃⊬1476⨐⩸⫘(∃⊬4B0⫌⩹⨱)","cot":[{"info":"∃⊬6D7⫌⩹⨱=∃⊬1327","layer":3},{"info":"⨵≀≌∃⊬1327=∃⊬-3975","layer":2},{"info":"∃⊬1270⇷∃⊬1476=∃⊬28EC","layer":3},{"info":"∃⊬4B0⫌⩹⨱=∃⊬ED9","layer":3},{"info":"∃⊬28EC⨐⩸⫘∃⊬ED9=NaN","layer":2},{"info":"∃⊬-3975⨽NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":289,"expression_no_base_symbol":"($1017$⋝⋈⪟$1215$⋓($4479$⨳⩥⨓$2159$)⋥≓≎(⪲⇎(↔$2690$)))⨐⩸⫘($3931$⨓$2428$⊭∹↮)⪢(⨰⫟⨤(∂$3155$))","expression":"(∃⊬3F9⋝⋈⪟∃⊬4BF⋓(∃⊬117F⨳⩥⨓∃⊬86F)⋥≓≎(⪲⇎(↔∃⊬A82)))⨐⩸⫘(∃⊬F5B⨓∃⊬97C⊭∹↮)⪢(⨰⫟⨤(∂∃⊬C53))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2499,"operation_count":12,"complexity_ratio":208.25,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1017,"base":16},"right_expr":{"type":"numeric_atoms","value":1215,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4479,"base":16},"right_expr":{"type":"numeric_atoms","value":2159,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2690,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3931,"base":16},"right_expr":{"type":"numeric_atoms","value":2428,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3155,"base":16}}}}},"used_operators":["fu6greOZ01","Qy55tPpLXF","T2fj7uvVaJ","2DDjHMKMc0","nCS4ZIUYfx","XPYlsWDdGa","ruOEQAzv1W","dWAJyo7jo9","xNBdhnnwKq","3ViojmjbAp","Tw270M8GLb","Uaa54Peajs"],"dependent_operators":["3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"number node, value=1215","layer":4},{"info":"compute binary expreesion, left_input=1017, right_input=1215, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1017","layer":3},{"info":"number node, value=4479","layer":4},{"info":"number node, value=2159","layer":4},{"info":"compute binary expreesion, left_input=4479, right_input=2159, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2320","layer":3},{"info":"compute binary expreesion, left_input=1017, right_input=-2320, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2690","layer":4},{"info":"compute unary expreesion, input=2690, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2417","layer":3},{"info":"compute unary expreesion, input=-2417, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-4834","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4834, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-9635","layer":1},{"info":"number node, value=3931","layer":4},{"info":"number node, value=2428","layer":4},{"info":"compute binary expreesion, left_input=3931, right_input=2428, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2431","layer":3},{"info":"compute unary expreesion, input=-2431, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-2431","layer":2},{"info":"number node, value=3155","layer":4},{"info":"compute unary expreesion, input=3155, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2431, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9635, 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":"(∃⊬3F9⋝⋈⪟∃⊬4BF⋓(∃⊬117F⨳⩥⨓∃⊬86F)⋥≓≎(⪲⇎(↔∃⊬A82)))⨐⩸⫘(∃⊬F5B⨓∃⊬97C⊭∹↮)⪢(⨰⫟⨤(∂∃⊬C53))=NaN","reverse_text":"NaN=(∃⊬3F9⋝⋈⪟∃⊬4BF⋓(∃⊬117F⨳⩥⨓∃⊬86F)⋥≓≎(⪲⇎(↔∃⊬A82)))⨐⩸⫘(∃⊬F5B⨓∃⊬97C⊭∹↮)⪢(⨰⫟⨤(∂∃⊬C53))","cot":[{"info":"∃⊬3F9⋝⋈⪟∃⊬4BF=∃⊬3F9","layer":3},{"info":"∃⊬117F⨳⩥⨓∃⊬86F=∃⊬-910","layer":3},{"info":"∃⊬3F9⋓∃⊬-910=∃⊬0","layer":2},{"info":"↔∃⊬A82=∃⊬-971","layer":3},{"info":"⪲⇎∃⊬-971=∃⊬-12E2","layer":2},{"info":"∃⊬0⋥≓≎∃⊬-12E2=∃⊬-25A3","layer":1},{"info":"∃⊬F5B⨓∃⊬97C=∃⊬-97F","layer":3},{"info":"∃⊬-97F⊭∹↮=∃⊬-97F","layer":2},{"info":"∂∃⊬C53=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"∃⊬-97F⪢NaN=NaN","layer":1},{"info":"∃⊬-25A3⨐⩸⫘NaN=NaN","layer":0}]}
{"id":290,"expression_no_base_symbol":"(($2163$⨳⩥⨓$1749$)⩠)∑⇟⊟(($1117$-$2028$)+⇶⊼($1299$⪠⩆⊳))+⇶⊼((⫓⪴($1438$⫸⊐$2784$))⨳⩥⨓(⩦⩻⨪$2171$⋥≓≎$1779$))","expression":"((∃⊬873⨳⩥⨓∃⊬6D5)⩠)∑⇟⊟((∃⊬45D-∃⊬7EC)+⇶⊼(∃⊬513⪠⩆⊳))+⇶⊼((⫓⪴(∃⊬59E⫸⊐∃⊬AE0))⨳⩥⨓(⩦⩻⨪∃⊬87B⋥≓≎∃⊬6F3))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11075,"operation_count":12,"complexity_ratio":922.9166666666666,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2163,"base":16},"right_expr":{"type":"numeric_atoms","value":1749,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1117,"base":16},"right_expr":{"type":"numeric_atoms","value":2028,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1299,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1438,"base":16},"right_expr":{"type":"numeric_atoms","value":2784,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2171,"base":16},"right_expr":{"type":"numeric_atoms","value":1779,"base":16}}}}},"used_operators":["TpPTUOHfaN","U7g4x0WXJJ","sJAwomhLZr","nCS4ZIUYfx","rysDP5nf3Z","JLbD19bQDL","eLxqMNBOBk","mqXw5SEYmG","2td37pGCOC","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2163","layer":4},{"info":"number node, value=1749","layer":4},{"info":"compute binary expreesion, left_input=2163, right_input=1749, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-414","layer":3},{"info":"compute unary expreesion, input=-414, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=1865","layer":2},{"info":"number node, value=1117","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=2028, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-911","layer":3},{"info":"number node, value=1299","layer":4},{"info":"compute unary expreesion, input=1299, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-911, right_input=0, 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=0","layer":2},{"info":"compute binary expreesion, left_input=1865, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=1865","layer":1},{"info":"number node, value=1438","layer":4},{"info":"number node, value=2784","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=2784, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11011","layer":3},{"info":"compute unary expreesion, input=11011, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=121242121","layer":2},{"info":"number node, value=2171","layer":4},{"info":"number node, value=1779","layer":4},{"info":"compute binary expreesion, left_input=2171, right_input=1779, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1420","layer":3},{"info":"compute unary expreesion, input=1420, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1420","layer":2},{"info":"compute binary expreesion, left_input=121242121, right_input=1420, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-121240701","layer":1},{"info":"compute binary expreesion, left_input=1865, right_input=-121240701, 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":"((∃⊬873⨳⩥⨓∃⊬6D5)⩠)∑⇟⊟((∃⊬45D-∃⊬7EC)+⇶⊼(∃⊬513⪠⩆⊳))+⇶⊼((⫓⪴(∃⊬59E⫸⊐∃⊬AE0))⨳⩥⨓(⩦⩻⨪∃⊬87B⋥≓≎∃⊬6F3))=NaN","reverse_text":"NaN=((∃⊬873⨳⩥⨓∃⊬6D5)⩠)∑⇟⊟((∃⊬45D-∃⊬7EC)+⇶⊼(∃⊬513⪠⩆⊳))+⇶⊼((⫓⪴(∃⊬59E⫸⊐∃⊬AE0))⨳⩥⨓(⩦⩻⨪∃⊬87B⋥≓≎∃⊬6F3))","cot":[{"info":"∃⊬873⨳⩥⨓∃⊬6D5=∃⊬-19E","layer":3},{"info":"∃⊬-19E⩠=∃⊬749","layer":2},{"info":"∃⊬45D-∃⊬7EC=∃⊬-38F","layer":3},{"info":"∃⊬513⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬-38F+⇶⊼∃⊬0=∃⊬0","layer":2},{"info":"∃⊬749∑⇟⊟∃⊬0=∃⊬749","layer":1},{"info":"∃⊬59E⫸⊐∃⊬AE0=∃⊬2B03","layer":3},{"info":"⫓⪴∃⊬2B03=∃⊬73A0209","layer":2},{"info":"∃⊬87B⋥≓≎∃⊬6F3=∃⊬58C","layer":3},{"info":"⩦⩻⨪∃⊬58C=∃⊬58C","layer":2},{"info":"∃⊬73A0209⨳⩥⨓∃⊬58C=∃⊬-739FC7D","layer":1},{"info":"∃⊬749+⇶⊼∃⊬-739FC7D=NaN","layer":0}]}
{"id":291,"expression_no_base_symbol":"(↽≂($2465$⨵⪆$2586$))⪛($1341$≭$4647$⊭↱($5550$⋷$3470$))⫸⊐(($1603$⨵⪆$1566$)⫥∨⫟($2985$⫡⨏$2970$))⩚⊴⇥((≤/$1624$)⪄($2288$⪨≂$8505$))","expression":"(↽≂(∃⊬9A1⨵⪆∃⊬A1A))⪛(∃⊬53D≭∃⊬1227⊭↱(∃⊬15AE⋷∃⊬D8E))⫸⊐((∃⊬643⨵⪆∃⊬61E)⫥∨⫟(∃⊬BA9⫡⨏∃⊬B9A))⩚⊴⇥((≤/∃⊬658)⪄(∃⊬8F0⪨≂∃⊬2139))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":285,"operation_count":14,"complexity_ratio":20.357142857142858,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2465,"base":16},"right_expr":{"type":"numeric_atoms","value":2586,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1341,"base":16},"right_expr":{"type":"numeric_atoms","value":4647,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5550,"base":16},"right_expr":{"type":"numeric_atoms","value":3470,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1603,"base":16},"right_expr":{"type":"numeric_atoms","value":1566,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2985,"base":16},"right_expr":{"type":"numeric_atoms","value":2970,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1624,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2288,"base":16},"right_expr":{"type":"numeric_atoms","value":8505,"base":16}}}}},"used_operators":["mqXw5SEYmG","uFcxV4UQCh","u6S6b8DprG","2DQ55sFlQl","COABgblf1C","rxpJgHHUmx","23Mk6UjR3U","NTOWxs364D","KYD54nUTWz","QMFrweE19q","SUmda5xLS4","eLAdDNolq6","sdazOOVcIp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2465","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=2586, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-320","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=4647","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=4647, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5550","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=3470, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1390, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1603","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=1566, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2985","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=2985, right_input=2970, 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=21648","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=21648, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1624","layer":4},{"info":"compute unary expreesion, input=1624, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1140","layer":3},{"info":"number node, value=2288","layer":4},{"info":"number node, value=8505","layer":4},{"info":"compute binary expreesion, left_input=2288, right_input=8505, 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=-12332","layer":3},{"info":"compute binary expreesion, left_input=-1140, right_input=-12332, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"(↽≂(∃⊬9A1⨵⪆∃⊬A1A))⪛(∃⊬53D≭∃⊬1227⊭↱(∃⊬15AE⋷∃⊬D8E))⫸⊐((∃⊬643⨵⪆∃⊬61E)⫥∨⫟(∃⊬BA9⫡⨏∃⊬B9A))⩚⊴⇥((≤/∃⊬658)⪄(∃⊬8F0⪨≂∃⊬2139))=NaN","reverse_text":"NaN=(↽≂(∃⊬9A1⨵⪆∃⊬A1A))⪛(∃⊬53D≭∃⊬1227⊭↱(∃⊬15AE⋷∃⊬D8E))⫸⊐((∃⊬643⨵⪆∃⊬61E)⫥∨⫟(∃⊬BA9⫡⨏∃⊬B9A))⩚⊴⇥((≤/∃⊬658)⪄(∃⊬8F0⪨≂∃⊬2139))","cot":[{"info":"∃⊬9A1⨵⪆∃⊬A1A=∃⊬A0","layer":3},{"info":"↽≂∃⊬A0=∃⊬-140","layer":2},{"info":"∃⊬53D≭∃⊬1227=NaN","layer":3},{"info":"∃⊬15AE⋷∃⊬D8E=∃⊬56E","layer":3},{"info":"NaN⊭↱∃⊬56E=NaN","layer":2},{"info":"∃⊬-140⪛NaN=NaN","layer":1},{"info":"∃⊬643⨵⪆∃⊬61E=∃⊬A0","layer":3},{"info":"∃⊬BA9⫡⨏∃⊬B9A=∃⊬5490","layer":3},{"info":"∃⊬A0⫥∨⫟∃⊬5490=NaN","layer":2},{"info":"≤/∃⊬658=∃⊬-474","layer":3},{"info":"∃⊬8F0⪨≂∃⊬2139=∃⊬-302C","layer":3},{"info":"∃⊬-474⪄∃⊬-302C=∃⊬F8B","layer":2},{"info":"NaN⩚⊴⇥∃⊬F8B=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":292,"expression_no_base_symbol":"(-($6664$⊭∹↮)%(⨈⫕$2973$))+($2005$⇼⇔∾$2424$⇼⇔∾$1060$⪛$4148$)↬((∂$1061$)⊭↱(∥⊫$8631$))","expression":"(-(∃⊬1A08⊭∹↮)%(⨈⫕∃⊬B9D))+(∃⊬7D5⇼⇔∾∃⊬978⇼⇔∾∃⊬424⪛∃⊬1034)↬((∂∃⊬425)⊭↱(∥⊫∃⊬21B7))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1048,"operation_count":12,"complexity_ratio":87.33333333333333,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":6664,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2973,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2005,"base":16},"right_expr":{"type":"numeric_atoms","value":2424,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1060,"base":16},"right_expr":{"type":"numeric_atoms","value":4148,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1061,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":8631,"base":16}}}}},"used_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","xNBdhnnwKq","megm06wKyl","B5M0gjZbta","tifHPKVTfV","uFcxV4UQCh","COABgblf1C","Uaa54Peajs","P8v4zCKN1o"],"dependent_operators":["rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6664","layer":4},{"info":"compute unary expreesion, input=6664, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=13328","layer":3},{"info":"number node, value=2973","layer":4},{"info":"compute unary expreesion, input=2973, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=13328, right_input=-21, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-7","layer":2},{"info":"compute unary expreesion, input=-7, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7","layer":1},{"info":"number node, value=2005","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=2005, right_input=2424, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=419","layer":3},{"info":"number node, value=1060","layer":4},{"info":"number node, value=4148","layer":4},{"info":"compute binary expreesion, left_input=1060, right_input=4148, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1060","layer":3},{"info":"compute binary expreesion, left_input=419, right_input=1060, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=641","layer":2},{"info":"number node, value=1061","layer":4},{"info":"compute unary expreesion, input=1061, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=8631","layer":4},{"info":"compute unary expreesion, input=8631, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=9499","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9499, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=641, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=7, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(-(∃⊬1A08⊭∹↮)%(⨈⫕∃⊬B9D))+(∃⊬7D5⇼⇔∾∃⊬978⇼⇔∾∃⊬424⪛∃⊬1034)↬((∂∃⊬425)⊭↱(∥⊫∃⊬21B7))=NaN","reverse_text":"NaN=(-(∃⊬1A08⊭∹↮)%(⨈⫕∃⊬B9D))+(∃⊬7D5⇼⇔∾∃⊬978⇼⇔∾∃⊬424⪛∃⊬1034)↬((∂∃⊬425)⊭↱(∥⊫∃⊬21B7))","cot":[{"info":"∃⊬1A08⊭∹↮=∃⊬3410","layer":3},{"info":"⨈⫕∃⊬B9D=∃⊬-15","layer":3},{"info":"∃⊬3410%∃⊬-15=∃⊬-7","layer":2},{"info":"-∃⊬-7=∃⊬7","layer":1},{"info":"∃⊬7D5⇼⇔∾∃⊬978=∃⊬1A3","layer":3},{"info":"∃⊬424⪛∃⊬1034=∃⊬424","layer":3},{"info":"∃⊬1A3⇼⇔∾∃⊬424=∃⊬281","layer":2},{"info":"∂∃⊬425=NaN","layer":3},{"info":"∥⊫∃⊬21B7=∃⊬251B","layer":3},{"info":"NaN⊭↱∃⊬251B=NaN","layer":2},{"info":"∃⊬281↬NaN=NaN","layer":1},{"info":"∃⊬7+NaN=NaN","layer":0}]}
{"id":293,"expression_no_base_symbol":"(↥($2943$⨽$5853$⪄(⇁⨣⪵$1680$)))⊘","expression":"(↥(∃⊬B7F⨽∃⊬16DD⪄(⇁⨣⪵∃⊬690)))⊘","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3145,"operation_count":5,"complexity_ratio":629.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2943,"base":16},"right_expr":{"type":"numeric_atoms","value":5853,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1680,"base":16}}}}},"used_operators":["gu96TGCTMs","A8NUZmVepG","SUmda5xLS4","8HhzD0ZcuI","inkyxCbjAn"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2943","layer":4},{"info":"number node, value=5853","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=5853, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-25999992","layer":3},{"info":"number node, value=1680","layer":4},{"info":"compute unary expreesion, input=1680, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-25999992, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":1},{"info":"compute unary expreesion, input=1, 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":"(↥(∃⊬B7F⨽∃⊬16DD⪄(⇁⨣⪵∃⊬690)))⊘=∃⊬0","reverse_text":"∃⊬0=(↥(∃⊬B7F⨽∃⊬16DD⪄(⇁⨣⪵∃⊬690)))⊘","cot":[{"info":"∃⊬B7F⨽∃⊬16DD=∃⊬-18CBA78","layer":3},{"info":"⇁⨣⪵∃⊬690=NaN","layer":3},{"info":"∃⊬-18CBA78⪄NaN=∃⊬F8B","layer":2},{"info":"↥∃⊬F8B=∃⊬1","layer":1},{"info":"∃⊬1⊘=∃⊬0","layer":0}]}
{"id":294,"expression_no_base_symbol":"(($3421$∲⫓$6054$)⩷∴($2246$⋥≓≎$4531$)⨐⩸⫘(⇁⨣⪵($8163$⇼⇔∾$1913$)))⨪↰⇹((↩(-$3653$))⇼⇔∾((≦∁$1352$)⊭∹↮))","expression":"((∃⊬D5D∲⫓∃⊬17A6)⩷∴(∃⊬8C6⋥≓≎∃⊬11B3)⨐⩸⫘(⇁⨣⪵(∃⊬1FE3⇼⇔∾∃⊬779)))⨪↰⇹((↩(-∃⊬E45))⇼⇔∾((≦∁∃⊬548)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":47,"operation_count":12,"complexity_ratio":3.9166666666666665,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3421,"base":16},"right_expr":{"type":"numeric_atoms","value":6054,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2246,"base":16},"right_expr":{"type":"numeric_atoms","value":4531,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":8163,"base":16},"right_expr":{"type":"numeric_atoms","value":1913,"base":16}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3653,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1352,"base":16}}}}},"used_operators":["tmPS8pqC7x","fu6greOZ01","9FxExcQeMw","i8ToyICDmI","Qy55tPpLXF","inkyxCbjAn","tifHPKVTfV","jLgFTUHLKL","t8gj7n24qd","xNBdhnnwKq","9ICcGScMcE"],"dependent_operators":["rJVOvQCfKK","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3421","layer":4},{"info":"number node, value=6054","layer":4},{"info":"compute binary expreesion, left_input=3421, right_input=6054, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2246","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=2246, right_input=4531, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6849","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6849, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13730","layer":2},{"info":"number node, value=8163","layer":4},{"info":"number node, value=1913","layer":4},{"info":"compute binary expreesion, left_input=8163, right_input=1913, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6250","layer":3},{"info":"compute unary expreesion, input=-6250, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13730, 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":1},{"info":"number node, value=3653","layer":4},{"info":"compute unary expreesion, input=3653, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3653","layer":3},{"info":"compute unary expreesion, input=-3653, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=17232","layer":2},{"info":"number node, value=1352","layer":4},{"info":"compute unary expreesion, input=1352, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1352","layer":3},{"info":"compute unary expreesion, input=1352, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2704","layer":2},{"info":"compute binary expreesion, left_input=17232, right_input=2704, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-14528","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14528, 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":"((∃⊬D5D∲⫓∃⊬17A6)⩷∴(∃⊬8C6⋥≓≎∃⊬11B3)⨐⩸⫘(⇁⨣⪵(∃⊬1FE3⇼⇔∾∃⊬779)))⨪↰⇹((↩(-∃⊬E45))⇼⇔∾((≦∁∃⊬548)⊭∹↮))=NaN","reverse_text":"NaN=((∃⊬D5D∲⫓∃⊬17A6)⩷∴(∃⊬8C6⋥≓≎∃⊬11B3)⨐⩸⫘(⇁⨣⪵(∃⊬1FE3⇼⇔∾∃⊬779)))⨪↰⇹((↩(-∃⊬E45))⇼⇔∾((≦∁∃⊬548)⊭∹↮))","cot":[{"info":"∃⊬D5D∲⫓∃⊬17A6=∃⊬0","layer":3},{"info":"∃⊬8C6⋥≓≎∃⊬11B3=∃⊬1AC1","layer":3},{"info":"∃⊬0⩷∴∃⊬1AC1=∃⊬-35A2","layer":2},{"info":"∃⊬1FE3⇼⇔∾∃⊬779=∃⊬-186A","layer":3},{"info":"⇁⨣⪵∃⊬-186A=NaN","layer":2},{"info":"∃⊬-35A2⨐⩸⫘NaN=NaN","layer":1},{"info":"-∃⊬E45=∃⊬-E45","layer":3},{"info":"↩∃⊬-E45=∃⊬4350","layer":2},{"info":"≦∁∃⊬548=∃⊬548","layer":3},{"info":"∃⊬548⊭∹↮=∃⊬A90","layer":2},{"info":"∃⊬4350⇼⇔∾∃⊬A90=∃⊬-38C0","layer":1},{"info":"NaN⨪↰⇹∃⊬-38C0=NaN","layer":0}]}
{"id":295,"expression_no_base_symbol":"(↣≠⋷(($1971$⪐)⨽$7863$⨎$1996$))⩤","expression":"(↣≠⋷((∃⊬7B3⪐)⨽∃⊬1EB7⨎∃⊬7CC))⩤","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3958,"operation_count":5,"complexity_ratio":791.6,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1971,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7863,"base":16},"right_expr":{"type":"numeric_atoms","value":1996,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","Asc51vEJeQ","8HhzD0ZcuI","eH2TOUuTDT","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1971","layer":4},{"info":"compute unary expreesion, input=1971, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3942","layer":3},{"info":"number node, value=7863","layer":4},{"info":"number node, value=1996","layer":4},{"info":"compute binary expreesion, left_input=7863, right_input=1996, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1996","layer":3},{"info":"compute binary expreesion, left_input=3942, right_input=1996, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-46622766","layer":2},{"info":"compute unary expreesion, input=-46622766, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷((∃⊬7B3⪐)⨽∃⊬1EB7⨎∃⊬7CC))⩤=NaN","reverse_text":"NaN=(↣≠⋷((∃⊬7B3⪐)⨽∃⊬1EB7⨎∃⊬7CC))⩤","cot":[{"info":"∃⊬7B3⪐=∃⊬F66","layer":3},{"info":"∃⊬1EB7⨎∃⊬7CC=∃⊬7CC","layer":3},{"info":"∃⊬F66⨽∃⊬7CC=∃⊬-2C7682E","layer":2},{"info":"↣≠⋷∃⊬-2C7682E=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":296,"expression_no_base_symbol":"↯⪼(∥⊫(-$3410$⨎$3007$))","expression":"↯⪼(∥⊫(-∃⊬D52⨎∃⊬BBF))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":36,"operation_count":4,"complexity_ratio":9.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3410,"base":16},"right_expr":{"type":"numeric_atoms","value":3007,"base":16}}}}},"used_operators":["8jW3W4yZS5","P8v4zCKN1o","t8gj7n24qd","rJVOvQCfKK"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3410","layer":4},{"info":"number node, value=3007","layer":4},{"info":"compute binary expreesion, left_input=3410, right_input=3007, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3007","layer":3},{"info":"compute unary expreesion, input=3007, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3007","layer":2},{"info":"compute unary expreesion, input=-3007, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute unary expreesion, input=-55, 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":"↯⪼(∥⊫(-∃⊬D52⨎∃⊬BBF))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(∥⊫(-∃⊬D52⨎∃⊬BBF))","cot":[{"info":"∃⊬D52⨎∃⊬BBF=∃⊬BBF","layer":3},{"info":"-∃⊬BBF=∃⊬-BBF","layer":2},{"info":"∥⊫∃⊬-BBF=∃⊬-37","layer":1},{"info":"↯⪼∃⊬-37=∃⊬-15","layer":0}]}
{"id":297,"expression_no_base_symbol":"(($1175$%$1811$)⋳⪒$2518$≹⇙⪍$5134$)⋓((∂$2255$)⫡⨏$6317$⋥≓≎$2103$)+⇶⊼(($7524$⨽$1095$)⋥≓≎($3932$∲⫓$1622$)⫡⨏($7131$/$2416$)⨰(⫛⫱⨽$2574$))","expression":"((∃⊬497%∃⊬713)⋳⪒∃⊬9D6≹⇙⪍∃⊬140E)⋓((∂∃⊬8CF)⫡⨏∃⊬18AD⋥≓≎∃⊬837)+⇶⊼((∃⊬1D64⨽∃⊬447)⋥≓≎(∃⊬F5C∲⫓∃⊬656)⫡⨏(∃⊬1BDB/∃⊬970)⨰(⫛⫱⨽∃⊬A0E))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9009,"operation_count":15,"complexity_ratio":600.6,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1175,"base":16},"right_expr":{"type":"numeric_atoms","value":1811,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2518,"base":16},"right_expr":{"type":"numeric_atoms","value":5134,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2255,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6317,"base":16},"right_expr":{"type":"numeric_atoms","value":2103,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7524,"base":16},"right_expr":{"type":"numeric_atoms","value":1095,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3932,"base":16},"right_expr":{"type":"numeric_atoms","value":1622,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7131,"base":16},"right_expr":{"type":"numeric_atoms","value":2416,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2574,"base":16}}}}},"used_operators":["TpPTUOHfaN","T2fj7uvVaJ","12rbrZMWeM","k8jYdgA6NY","AHs5Up7iyr","QMFrweE19q","Uaa54Peajs","Qy55tPpLXF","8HhzD0ZcuI","i8ToyICDmI","eewbuw0ToL","XhwjNDsVaA","DlLNRPXxWL"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1811, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1175","layer":3},{"info":"number node, value=2518","layer":4},{"info":"number node, value=5134","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=5134, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1175, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=2255","layer":4},{"info":"compute unary expreesion, input=2255, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=6317","layer":4},{"info":"number node, value=2103","layer":4},{"info":"compute binary expreesion, left_input=6317, right_input=2103, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2078","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2078, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=7524","layer":4},{"info":"number node, value=1095","layer":4},{"info":"compute binary expreesion, left_input=7524, right_input=1095, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-169833699","layer":3},{"info":"number node, value=3932","layer":4},{"info":"number node, value=1622","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=1622, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-169833699, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=7131","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=7131, right_input=2416, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"number node, value=2574","layer":4},{"info":"compute unary expreesion, input=2574, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=12","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=12, 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=1142","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1142, 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":"((∃⊬497%∃⊬713)⋳⪒∃⊬9D6≹⇙⪍∃⊬140E)⋓((∂∃⊬8CF)⫡⨏∃⊬18AD⋥≓≎∃⊬837)+⇶⊼((∃⊬1D64⨽∃⊬447)⋥≓≎(∃⊬F5C∲⫓∃⊬656)⫡⨏(∃⊬1BDB/∃⊬970)⨰(⫛⫱⨽∃⊬A0E))=NaN","reverse_text":"NaN=((∃⊬497%∃⊬713)⋳⪒∃⊬9D6≹⇙⪍∃⊬140E)⋓((∂∃⊬8CF)⫡⨏∃⊬18AD⋥≓≎∃⊬837)+⇶⊼((∃⊬1D64⨽∃⊬447)⋥≓≎(∃⊬F5C∲⫓∃⊬656)⫡⨏(∃⊬1BDB/∃⊬970)⨰(⫛⫱⨽∃⊬A0E))","cot":[{"info":"∃⊬497%∃⊬713=∃⊬497","layer":3},{"info":"∃⊬9D6≹⇙⪍∃⊬140E=NaN","layer":3},{"info":"∃⊬497⋳⪒NaN=NaN","layer":2},{"info":"∂∃⊬8CF=NaN","layer":3},{"info":"∃⊬18AD⋥≓≎∃⊬837=∃⊬-81E","layer":3},{"info":"NaN⫡⨏∃⊬-81E=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"∃⊬1D64⨽∃⊬447=∃⊬-A1F74E3","layer":3},{"info":"∃⊬F5C∲⫓∃⊬656=∃⊬0","layer":3},{"info":"∃⊬-A1F74E3⋥≓≎∃⊬0=∃⊬43","layer":2},{"info":"∃⊬1BDB/∃⊬970=∃⊬2","layer":3},{"info":"⫛⫱⨽∃⊬A0E=∃⊬0","layer":3},{"info":"∃⊬2⨰∃⊬0=∃⊬C","layer":2},{"info":"∃⊬43⫡⨏∃⊬C=∃⊬476","layer":1},{"info":"NaN+⇶⊼∃⊬476=NaN","layer":0}]}
{"id":298,"expression_no_base_symbol":"($1532$-$5402$)↬($3682$⨐⩸⫘$1127$)⨳⩥⨓($2204$⪄$1432$⇼⇔∾$1845$⫥∨⫟$2347$)⫸⊐(($2975$/$3359$)⪘⫢(∂$3212$))⨟⋌⩍(⊙↵-($2614$⫌⩹⨱))","expression":"(∃⊬5FC-∃⊬151A)↬(∃⊬E62⨐⩸⫘∃⊬467)⨳⩥⨓(∃⊬89C⪄∃⊬598⇼⇔∾∃⊬735⫥∨⫟∃⊬92B)⫸⊐((∃⊬B9F/∃⊬D1F)⪘⫢(∂∃⊬C8C))⨟⋌⩍(⊙↵-(∃⊬A36⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6958,"operation_count":14,"complexity_ratio":497.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1532,"base":16},"right_expr":{"type":"numeric_atoms","value":5402,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3682,"base":16},"right_expr":{"type":"numeric_atoms","value":1127,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2204,"base":16},"right_expr":{"type":"numeric_atoms","value":1432,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1845,"base":16},"right_expr":{"type":"numeric_atoms","value":2347,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2975,"base":16},"right_expr":{"type":"numeric_atoms","value":3359,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3212,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2614,"base":16}}}}},"used_operators":["mqXw5SEYmG","nCS4ZIUYfx","B5M0gjZbta","rysDP5nf3Z","fu6greOZ01","tifHPKVTfV","SUmda5xLS4","KYD54nUTWz","rGHVDoGpnC","oacrs7FA3X","XhwjNDsVaA","Uaa54Peajs","oWn0xqSxBt","EBcxylXtPf"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1532","layer":4},{"info":"number node, value=5402","layer":4},{"info":"compute binary expreesion, left_input=1532, right_input=5402, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3870","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=1127","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=1127, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3870, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2204","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=2204, right_input=1432, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-328009","layer":3},{"info":"number node, value=1845","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=2347, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-328009, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=2975","layer":4},{"info":"number node, value=3359","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=3359, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=3212","layer":4},{"info":"compute unary expreesion, input=3212, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2614","layer":4},{"info":"compute unary expreesion, input=2614, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6629","layer":3},{"info":"compute unary expreesion, input=6629, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, 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 = 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":"(∃⊬5FC-∃⊬151A)↬(∃⊬E62⨐⩸⫘∃⊬467)⨳⩥⨓(∃⊬89C⪄∃⊬598⇼⇔∾∃⊬735⫥∨⫟∃⊬92B)⫸⊐((∃⊬B9F/∃⊬D1F)⪘⫢(∂∃⊬C8C))⨟⋌⩍(⊙↵-(∃⊬A36⫌⩹⨱))=NaN","reverse_text":"NaN=(∃⊬5FC-∃⊬151A)↬(∃⊬E62⨐⩸⫘∃⊬467)⨳⩥⨓(∃⊬89C⪄∃⊬598⇼⇔∾∃⊬735⫥∨⫟∃⊬92B)⫸⊐((∃⊬B9F/∃⊬D1F)⪘⫢(∂∃⊬C8C))⨟⋌⩍(⊙↵-(∃⊬A36⫌⩹⨱))","cot":[{"info":"∃⊬5FC-∃⊬151A=∃⊬-F1E","layer":3},{"info":"∃⊬E62⨐⩸⫘∃⊬467=NaN","layer":3},{"info":"∃⊬-F1E↬NaN=NaN","layer":2},{"info":"∃⊬89C⪄∃⊬598=∃⊬-50149","layer":3},{"info":"∃⊬735⫥∨⫟∃⊬92B=NaN","layer":3},{"info":"∃⊬-50149⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"∃⊬B9F/∃⊬D1F=∃⊬0","layer":3},{"info":"∂∃⊬C8C=NaN","layer":3},{"info":"∃⊬0⪘⫢NaN=NaN","layer":2},{"info":"∃⊬A36⫌⩹⨱=∃⊬19E5","layer":3},{"info":"⊙↵-∃⊬19E5=∃⊬-1","layer":2},{"info":"NaN⨟⋌⩍∃⊬-1=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":299,"expression_no_base_symbol":"(($6360$⫌⩹⨱)*($2723$+$6545$))⫸⊐$2184$⨓$1951$⨳⩥⨓$3834$⨎$1229$⋷($1272$∧)∼($2672$∀⇚≩$1155$)*(+⊝⨔$3157$)≎⊠⪸(+⊝⨔$4210$)","expression":"((∃⊬18D8⫌⩹⨱)*(∃⊬AA3+∃⊬1991))⫸⊐∃⊬888⨓∃⊬79F⨳⩥⨓∃⊬EFA⨎∃⊬4CD⋷(∃⊬4F8∧)∼(∃⊬A70∀⇚≩∃⊬483)*(+⊝⨔∃⊬C55)≎⊠⪸(+⊝⨔∃⊬1072)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":30328,"operation_count":15,"complexity_ratio":2021.8666666666666,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":6360,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2723,"base":16},"right_expr":{"type":"numeric_atoms","value":6545,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2184,"base":16},"right_expr":{"type":"numeric_atoms","value":1951,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3834,"base":16},"right_expr":{"type":"numeric_atoms","value":1229,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1272,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2672,"base":16},"right_expr":{"type":"numeric_atoms","value":1155,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3157,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":4210,"base":16}}}}},"used_operators":["23Mk6UjR3U","mqXw5SEYmG","9HNa5Wba9A","EBcxylXtPf","W4YGzv6Whe","nCS4ZIUYfx","3ViojmjbAp","rJVOvQCfKK","DyGG3AbaNP","z63VuFQld9","LRNGc0VcxI","bJkvcejdHO","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6360","layer":4},{"info":"compute unary expreesion, input=6360, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=14121","layer":3},{"info":"number node, value=2723","layer":4},{"info":"number node, value=6545","layer":4},{"info":"compute binary expreesion, left_input=2723, right_input=6545, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9268","layer":3},{"info":"compute binary expreesion, left_input=14121, right_input=9268, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=130873428","layer":2},{"info":"number node, value=2184","layer":4},{"info":"number node, value=1951","layer":4},{"info":"compute binary expreesion, left_input=2184, right_input=1951, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1954","layer":3},{"info":"number node, value=3834","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=3834, right_input=1229, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1229","layer":3},{"info":"compute binary expreesion, left_input=-1954, right_input=1229, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3183","layer":2},{"info":"compute binary expreesion, left_input=130873428, right_input=3183, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12607","layer":1},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=2672","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=2672, right_input=1155, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3157","layer":4},{"info":"compute unary expreesion, input=3157, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=4210","layer":4},{"info":"compute unary expreesion, input=4210, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=1522, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=393725","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=393725, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=12607, 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":"((∃⊬18D8⫌⩹⨱)*(∃⊬AA3+∃⊬1991))⫸⊐∃⊬888⨓∃⊬79F⨳⩥⨓∃⊬EFA⨎∃⊬4CD⋷(∃⊬4F8∧)∼(∃⊬A70∀⇚≩∃⊬483)*(+⊝⨔∃⊬C55)≎⊠⪸(+⊝⨔∃⊬1072)=NaN","reverse_text":"NaN=((∃⊬18D8⫌⩹⨱)*(∃⊬AA3+∃⊬1991))⫸⊐∃⊬888⨓∃⊬79F⨳⩥⨓∃⊬EFA⨎∃⊬4CD⋷(∃⊬4F8∧)∼(∃⊬A70∀⇚≩∃⊬483)*(+⊝⨔∃⊬C55)≎⊠⪸(+⊝⨔∃⊬1072)","cot":[{"info":"∃⊬18D8⫌⩹⨱=∃⊬3729","layer":3},{"info":"∃⊬AA3+∃⊬1991=∃⊬2434","layer":3},{"info":"∃⊬3729*∃⊬2434=∃⊬7CCF854","layer":2},{"info":"∃⊬888⨓∃⊬79F=∃⊬-7A2","layer":3},{"info":"∃⊬EFA⨎∃⊬4CD=∃⊬4CD","layer":3},{"info":"∃⊬-7A2⨳⩥⨓∃⊬4CD=∃⊬C6F","layer":2},{"info":"∃⊬7CCF854⫸⊐∃⊬C6F=∃⊬313F","layer":1},{"info":"∃⊬4F8∧=NaN","layer":3},{"info":"∃⊬A70∀⇚≩∃⊬483=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"+⊝⨔∃⊬C55=∃⊬5F2","layer":3},{"info":"+⊝⨔∃⊬1072=∃⊬5F2","layer":3},{"info":"∃⊬5F2≎⊠⪸∃⊬5F2=∃⊬601FD","layer":2},{"info":"NaN*∃⊬601FD=NaN","layer":1},{"info":"∃⊬313F⋷NaN=NaN","layer":0}]}
{"id":300,"expression_no_base_symbol":"(($1148$⋫)⩷∴(⊥$2038$)+⇶⊼($2600$≧⫂∧$3996$⋳⪒($2976$⫥∨⫟$5473$)))⪮%⊝((↣≠⋷(⨑⩽⪐$3733$))∼((+⊝⨔$1837$)⨸⪁(⨞⊢$2039$)))","expression":"((∃⊬47C⋫)⩷∴(⊥∃⊬7F6)+⇶⊼(∃⊬A28≧⫂∧∃⊬F9C⋳⪒(∃⊬BA0⫥∨⫟∃⊬1561)))⪮%⊝((↣≠⋷(⨑⩽⪐∃⊬E95))∼((+⊝⨔∃⊬72D)⨸⪁(⨞⊢∃⊬7F7)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1382,"operation_count":14,"complexity_ratio":98.71428571428571,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1148,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2038,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2600,"base":16},"right_expr":{"type":"numeric_atoms","value":3996,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2976,"base":16},"right_expr":{"type":"numeric_atoms","value":5473,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":3733,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1837,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2039,"base":16}}}}},"used_operators":["IWmyXbctLI","TpPTUOHfaN","9FxExcQeMw","JL8yIekQnl","Q3PJZHRvZv","12rbrZMWeM","Ph9nP6C5qx","KYD54nUTWz","DyGG3AbaNP","Asc51vEJeQ","AF7qkfDlqP","g55IO6H4Gj","DhbWaqg5eL","xUOZtlo3hN"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","tmPS8pqC7x","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1148","layer":4},{"info":"compute unary expreesion, input=1148, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1148","layer":3},{"info":"number node, value=2038","layer":4},{"info":"compute unary expreesion, input=2038, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1148, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"number node, value=2600","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=2600, right_input=3996, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3523","layer":3},{"info":"number node, value=2976","layer":4},{"info":"number node, value=5473","layer":4},{"info":"compute binary expreesion, left_input=2976, right_input=5473, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3523, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=3733","layer":4},{"info":"compute unary expreesion, input=3733, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3460","layer":3},{"info":"compute unary expreesion, input=-3460, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1837","layer":4},{"info":"compute unary expreesion, input=1837, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2039","layer":4},{"info":"compute unary expreesion, input=2039, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2213","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-2213, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-1382","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1382, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬47C⋫)⩷∴(⊥∃⊬7F6)+⇶⊼(∃⊬A28≧⫂∧∃⊬F9C⋳⪒(∃⊬BA0⫥∨⫟∃⊬1561)))⪮%⊝((↣≠⋷(⨑⩽⪐∃⊬E95))∼((+⊝⨔∃⊬72D)⨸⪁(⨞⊢∃⊬7F7)))=NaN","reverse_text":"NaN=((∃⊬47C⋫)⩷∴(⊥∃⊬7F6)+⇶⊼(∃⊬A28≧⫂∧∃⊬F9C⋳⪒(∃⊬BA0⫥∨⫟∃⊬1561)))⪮%⊝((↣≠⋷(⨑⩽⪐∃⊬E95))∼((+⊝⨔∃⊬72D)⨸⪁(⨞⊢∃⊬7F7)))","cot":[{"info":"∃⊬47C⋫=∃⊬47C","layer":3},{"info":"⊥∃⊬7F6=NaN","layer":3},{"info":"∃⊬47C⩷∴NaN=NaN","layer":2},{"info":"∃⊬A28≧⫂∧∃⊬F9C=∃⊬DC3","layer":3},{"info":"∃⊬BA0⫥∨⫟∃⊬1561=NaN","layer":3},{"info":"∃⊬DC3⋳⪒NaN=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⨑⩽⪐∃⊬E95=∃⊬-D84","layer":3},{"info":"↣≠⋷∃⊬-D84=NaN","layer":2},{"info":"+⊝⨔∃⊬72D=∃⊬5F2","layer":3},{"info":"⨞⊢∃⊬7F7=∃⊬-8A5","layer":3},{"info":"∃⊬5F2⨸⪁∃⊬-8A5=∃⊬-566","layer":2},{"info":"NaN∼∃⊬-566=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":301,"expression_no_base_symbol":"(≤/(⋗⩬⋾$5290$)⋳⪒$1051$⪛$5379$)⨸⪁(∂($2839$⪘⫢$1298$↪⪝))","expression":"(≤/(⋗⩬⋾∃⊬14AA)⋳⪒∃⊬41B⪛∃⊬1503)⨸⪁(∂(∃⊬B17⪘⫢∃⊬512↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":734,"operation_count":8,"complexity_ratio":91.75,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":5290,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1051,"base":16},"right_expr":{"type":"numeric_atoms","value":5379,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2839,"base":16},"right_expr":{"type":"numeric_atoms","value":1298,"base":16}}}}},"used_operators":["g55IO6H4Gj","eLAdDNolq6","12rbrZMWeM","DpFCA1CohY","uFcxV4UQCh","Uaa54Peajs","l07mrZUIn9","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5290","layer":4},{"info":"compute unary expreesion, input=5290, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-15870","layer":3},{"info":"number node, value=1051","layer":4},{"info":"number node, value=5379","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=5379, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1051","layer":3},{"info":"compute binary expreesion, left_input=-15870, right_input=1051, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-33078","layer":2},{"info":"compute unary expreesion, input=-33078, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=33562","layer":1},{"info":"number node, value=2839","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2839, right_input=1298, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5554","layer":3},{"info":"compute unary expreesion, input=5554, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=339804828","layer":2},{"info":"compute unary expreesion, input=339804828, 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=33562, 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":"(≤/(⋗⩬⋾∃⊬14AA)⋳⪒∃⊬41B⪛∃⊬1503)⨸⪁(∂(∃⊬B17⪘⫢∃⊬512↪⪝))=NaN","reverse_text":"NaN=(≤/(⋗⩬⋾∃⊬14AA)⋳⪒∃⊬41B⪛∃⊬1503)⨸⪁(∂(∃⊬B17⪘⫢∃⊬512↪⪝))","cot":[{"info":"⋗⩬⋾∃⊬14AA=∃⊬-3DFE","layer":3},{"info":"∃⊬41B⪛∃⊬1503=∃⊬41B","layer":3},{"info":"∃⊬-3DFE⋳⪒∃⊬41B=∃⊬-8136","layer":2},{"info":"≤/∃⊬-8136=∃⊬831A","layer":1},{"info":"∃⊬B17⪘⫢∃⊬512=∃⊬15B2","layer":3},{"info":"∃⊬15B2↪⪝=∃⊬1441029C","layer":2},{"info":"∂∃⊬1441029C=NaN","layer":1},{"info":"∃⊬831A⨸⪁NaN=NaN","layer":0}]}
{"id":302,"expression_no_base_symbol":"(↩$3338$∀⇚≩$1829$↙($1055$⨳⩥⨓$1414$))⪄(($1846$∼$6701$⊭↱(⩦⩻⨪$2677$))≫≃)","expression":"(↩∃⊬D0A∀⇚≩∃⊬725↙(∃⊬41F⨳⩥⨓∃⊬586))⪄((∃⊬736∼∃⊬1A2D⊭↱(⩦⩻⨪∃⊬A75))≫≃)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23464,"operation_count":9,"complexity_ratio":2607.1111111111113,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3338,"base":16},"right_expr":{"type":"numeric_atoms","value":1829,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":1414,"base":16}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1846,"base":16},"right_expr":{"type":"numeric_atoms","value":6701,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2677,"base":16}}}}},"used_operators":["SUmda5xLS4","jLgFTUHLKL","yyfyN0ffXY","LRNGc0VcxI","nCS4ZIUYfx","X99M06cbEe","COABgblf1C","DyGG3AbaNP","2td37pGCOC"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3338","layer":4},{"info":"number node, value=1829","layer":4},{"info":"compute binary expreesion, left_input=3338, right_input=1829, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1414, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=359","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=359, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1846","layer":4},{"info":"number node, value=6701","layer":4},{"info":"compute binary expreesion, left_input=1846, right_input=6701, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2677","layer":4},{"info":"compute unary expreesion, input=2677, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2677","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2677, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , 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":"(↩∃⊬D0A∀⇚≩∃⊬725↙(∃⊬41F⨳⩥⨓∃⊬586))⪄((∃⊬736∼∃⊬1A2D⊭↱(⩦⩻⨪∃⊬A75))≫≃)=∃⊬F8B","reverse_text":"∃⊬F8B=(↩∃⊬D0A∀⇚≩∃⊬725↙(∃⊬41F⨳⩥⨓∃⊬586))⪄((∃⊬736∼∃⊬1A2D⊭↱(⩦⩻⨪∃⊬A75))≫≃)","cot":[{"info":"∃⊬D0A∀⇚≩∃⊬725=NaN","layer":3},{"info":"∃⊬41F⨳⩥⨓∃⊬586=∃⊬167","layer":3},{"info":"NaN↙∃⊬167=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬736∼∃⊬1A2D=NaN","layer":3},{"info":"⩦⩻⨪∃⊬A75=∃⊬A75","layer":3},{"info":"NaN⊭↱∃⊬A75=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
{"id":303,"expression_no_base_symbol":"((-$3347$*$5437$)⩤)⨐⩸⫘($6392$↺$1269$↙$1826$⇷$1402$)≭($1675$/$2547$↪⪝)","expression":"((-∃⊬D13*∃⊬153D)⩤)⨐⩸⫘(∃⊬18F8↺∃⊬4F5↙∃⊬722⇷∃⊬57A)≭(∃⊬68B/∃⊬9F3↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":32351,"operation_count":10,"complexity_ratio":3235.1,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3347,"base":16},"right_expr":{"type":"numeric_atoms","value":5437,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6392,"base":16},"right_expr":{"type":"numeric_atoms","value":1269,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1826,"base":16},"right_expr":{"type":"numeric_atoms","value":1402,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1675,"base":16},"right_expr":{"type":"numeric_atoms","value":2547,"base":16}}}}},"used_operators":["fu6greOZ01","Z2TMIBDE3Q","t8gj7n24qd","9HNa5Wba9A","rxpJgHHUmx","yyfyN0ffXY","7j4O788W3g","mp7IySMOzn","l07mrZUIn9","XhwjNDsVaA"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z"],"result":"∃⊬-13","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3347","layer":4},{"info":"number node, value=5437","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=5437, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18197639","layer":3},{"info":"compute unary expreesion, input=18197639, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-18197639","layer":2},{"info":"compute unary expreesion, input=-18197639, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=18197639","layer":1},{"info":"number node, value=6392","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=6392, right_input=1269, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1269","layer":3},{"info":"number node, value=1826","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=1826, right_input=1402, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2804","layer":3},{"info":"compute binary expreesion, left_input=1269, right_input=2804, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8412","layer":2},{"info":"number node, value=1675","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=1675, right_input=2547, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-8412, right_input=0, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=-22","layer":1},{"info":"compute binary expreesion, left_input=18197639, right_input=-22, 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=-19","layer":0}],"base":16,"result_base":16,"text":"((-∃⊬D13*∃⊬153D)⩤)⨐⩸⫘(∃⊬18F8↺∃⊬4F5↙∃⊬722⇷∃⊬57A)≭(∃⊬68B/∃⊬9F3↪⪝)=∃⊬-13","reverse_text":"∃⊬-13=((-∃⊬D13*∃⊬153D)⩤)⨐⩸⫘(∃⊬18F8↺∃⊬4F5↙∃⊬722⇷∃⊬57A)≭(∃⊬68B/∃⊬9F3↪⪝)","cot":[{"info":"∃⊬D13*∃⊬153D=∃⊬115AC87","layer":3},{"info":"-∃⊬115AC87=∃⊬-115AC87","layer":2},{"info":"∃⊬-115AC87⩤=∃⊬115AC87","layer":1},{"info":"∃⊬18F8↺∃⊬4F5=∃⊬4F5","layer":3},{"info":"∃⊬722⇷∃⊬57A=∃⊬AF4","layer":3},{"info":"∃⊬4F5↙∃⊬AF4=∃⊬-20DC","layer":2},{"info":"∃⊬68B/∃⊬9F3=∃⊬0","layer":3},{"info":"∃⊬0↪⪝=∃⊬0","layer":2},{"info":"∃⊬-20DC≭∃⊬0=∃⊬-16","layer":1},{"info":"∃⊬115AC87⨐⩸⫘∃⊬-16=∃⊬-13","layer":0}]}
{"id":304,"expression_no_base_symbol":"($6527$↬$2021$⪒($2970$↛⩡⫤))⫥∨⫟((≦∁$5130$)⫡⨏$3221$⊴$5214$)*($4463$⊴$6276$⇼⇔∾$2330$⨓$3535$)⪢(($6691$+$4784$)↬($2432$⫸⊐$5474$))","expression":"(∃⊬197F↬∃⊬7E5⪒(∃⊬B9A↛⩡⫤))⫥∨⫟((≦∁∃⊬140A)⫡⨏∃⊬C95⊴∃⊬145E)*(∃⊬116F⊴∃⊬1884⇼⇔∾∃⊬91A⨓∃⊬DCF)⪢((∃⊬1A23+∃⊬12B0)↬(∃⊬980⫸⊐∃⊬1562))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":24283,"operation_count":15,"complexity_ratio":1618.8666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6527,"base":16},"right_expr":{"type":"numeric_atoms","value":2021,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2970,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5130,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3221,"base":16},"right_expr":{"type":"numeric_atoms","value":5214,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4463,"base":16},"right_expr":{"type":"numeric_atoms","value":6276,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2330,"base":16},"right_expr":{"type":"numeric_atoms","value":3535,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6691,"base":16},"right_expr":{"type":"numeric_atoms","value":4784,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2432,"base":16},"right_expr":{"type":"numeric_atoms","value":5474,"base":16}}}}},"used_operators":["9HNa5Wba9A","KYD54nUTWz","f6k1SAg4EE","B5M0gjZbta","FU0Cs4j7VP","QMFrweE19q","9ICcGScMcE","Nsiff2A1zJ","dWAJyo7jo9","tifHPKVTfV","3ViojmjbAp","W4YGzv6Whe","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6527","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=2021, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2970","layer":4},{"info":"compute unary expreesion, input=2970, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-444559","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-444559, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=5130","layer":4},{"info":"compute unary expreesion, input=5130, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5130","layer":3},{"info":"number node, value=3221","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=5214, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5130, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4463","layer":4},{"info":"number node, value=6276","layer":4},{"info":"compute binary expreesion, left_input=4463, right_input=6276, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2330","layer":4},{"info":"number node, value=3535","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=3535, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3538","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3538, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=6691","layer":4},{"info":"number node, value=4784","layer":4},{"info":"compute binary expreesion, left_input=6691, right_input=4784, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11475","layer":3},{"info":"number node, value=2432","layer":4},{"info":"number node, value=5474","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=5474, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21771","layer":3},{"info":"compute binary expreesion, left_input=11475, right_input=21771, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬197F↬∃⊬7E5⪒(∃⊬B9A↛⩡⫤))⫥∨⫟((≦∁∃⊬140A)⫡⨏∃⊬C95⊴∃⊬145E)*(∃⊬116F⊴∃⊬1884⇼⇔∾∃⊬91A⨓∃⊬DCF)⪢((∃⊬1A23+∃⊬12B0)↬(∃⊬980⫸⊐∃⊬1562))=NaN","reverse_text":"NaN=(∃⊬197F↬∃⊬7E5⪒(∃⊬B9A↛⩡⫤))⫥∨⫟((≦∁∃⊬140A)⫡⨏∃⊬C95⊴∃⊬145E)*(∃⊬116F⊴∃⊬1884⇼⇔∾∃⊬91A⨓∃⊬DCF)⪢((∃⊬1A23+∃⊬12B0)↬(∃⊬980⫸⊐∃⊬1562))","cot":[{"info":"∃⊬197F↬∃⊬7E5=NaN","layer":3},{"info":"∃⊬B9A↛⩡⫤=∃⊬-6C88F","layer":3},{"info":"NaN⪒∃⊬-6C88F=NaN","layer":2},{"info":"≦∁∃⊬140A=∃⊬140A","layer":3},{"info":"∃⊬C95⊴∃⊬145E=NaN","layer":3},{"info":"∃⊬140A⫡⨏NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬116F⊴∃⊬1884=NaN","layer":3},{"info":"∃⊬91A⨓∃⊬DCF=∃⊬-DD2","layer":3},{"info":"NaN⇼⇔∾∃⊬-DD2=NaN","layer":2},{"info":"∃⊬1A23+∃⊬12B0=∃⊬2CD3","layer":3},{"info":"∃⊬980⫸⊐∃⊬1562=∃⊬550B","layer":3},{"info":"∃⊬2CD3↬∃⊬550B=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"NaN*NaN=NaN","layer":0}]}
{"id":305,"expression_no_base_symbol":"(⊄⩳↩($1933$∀⇚≩$5615$∑⇟⊟($2159$∲⫓$1831$)))⪛((↣≠⋷($4726$↬$1025$))≣⋋)","expression":"(⊄⩳↩(∃⊬78D∀⇚≩∃⊬15EF∑⇟⊟(∃⊬86F∲⫓∃⊬727)))⪛((↣≠⋷(∃⊬1276↬∃⊬401))≣⋋)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13549,"operation_count":8,"complexity_ratio":1693.625,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1933,"base":16},"right_expr":{"type":"numeric_atoms","value":5615,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2159,"base":16},"right_expr":{"type":"numeric_atoms","value":1831,"base":16}}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4726,"base":16},"right_expr":{"type":"numeric_atoms","value":1025,"base":16}}}}},"used_operators":["uFcxV4UQCh","8w2t5hMYqp","U7g4x0WXJJ","LRNGc0VcxI","i8ToyICDmI","Tcnh7f0tEr","Asc51vEJeQ","B5M0gjZbta"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1933","layer":4},{"info":"number node, value=5615","layer":4},{"info":"compute binary expreesion, left_input=1933, right_input=5615, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=1831","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=1831, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4726","layer":4},{"info":"number node, value=1025","layer":4},{"info":"compute binary expreesion, left_input=4726, right_input=1025, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(∃⊬78D∀⇚≩∃⊬15EF∑⇟⊟(∃⊬86F∲⫓∃⊬727)))⪛((↣≠⋷(∃⊬1276↬∃⊬401))≣⋋)=NaN","reverse_text":"NaN=(⊄⩳↩(∃⊬78D∀⇚≩∃⊬15EF∑⇟⊟(∃⊬86F∲⫓∃⊬727)))⪛((↣≠⋷(∃⊬1276↬∃⊬401))≣⋋)","cot":[{"info":"∃⊬78D∀⇚≩∃⊬15EF=NaN","layer":3},{"info":"∃⊬86F∲⫓∃⊬727=∃⊬0","layer":3},{"info":"NaN∑⇟⊟∃⊬0=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∃⊬1276↬∃⊬401=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN≣⋋=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":306,"expression_no_base_symbol":"∂(≦∁($1090$⩠))⇷($1880$⫡⨏$2852$⪨≂$5134$∑⇟⊟$1916$)","expression":"∂(≦∁(∃⊬442⩠))⇷(∃⊬758⫡⨏∃⊬B24⪨≂∃⊬140E∑⇟⊟∃⊬77C)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4545,"operation_count":7,"complexity_ratio":649.2857142857143,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1090,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1880,"base":16},"right_expr":{"type":"numeric_atoms","value":2852,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5134,"base":16},"right_expr":{"type":"numeric_atoms","value":1916,"base":16}}}}},"used_operators":["Uaa54Peajs","mp7IySMOzn","9ICcGScMcE","sJAwomhLZr","sdazOOVcIp","QMFrweE19q","U7g4x0WXJJ"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"number node, value=1880","layer":4},{"info":"number node, value=2852","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=2852, 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=15887","layer":3},{"info":"number node, value=5134","layer":4},{"info":"number node, value=1916","layer":4},{"info":"compute binary expreesion, left_input=5134, right_input=1916, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15887, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-320, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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":"∂(≦∁(∃⊬442⩠))⇷(∃⊬758⫡⨏∃⊬B24⪨≂∃⊬140E∑⇟⊟∃⊬77C)=NaN","reverse_text":"NaN=∂(≦∁(∃⊬442⩠))⇷(∃⊬758⫡⨏∃⊬B24⪨≂∃⊬140E∑⇟⊟∃⊬77C)","cot":[{"info":"∃⊬442⩠=∃⊬0","layer":3},{"info":"≦∁∃⊬0=∃⊬-140","layer":2},{"info":"∃⊬758⫡⨏∃⊬B24=∃⊬3E0F","layer":3},{"info":"∃⊬140E∑⇟⊟∃⊬77C=NaN","layer":3},{"info":"∃⊬3E0F⪨≂NaN=NaN","layer":2},{"info":"∃⊬-140⇷NaN=NaN","layer":1},{"info":"∂NaN=NaN","layer":0}]}
{"id":307,"expression_no_base_symbol":"((⪝⪂⫅($1253$⨽$2510$))⋷($5421$⊴$6439$⪨≂($2037$⋷$4984$)))⨟⋌⩍(+⊝⨔$3489$≹⇙⪍$2715$≹⇙⪍(↽≂$1225$))","expression":"((⪝⪂⫅(∃⊬4E5⨽∃⊬9CE))⋷(∃⊬152D⊴∃⊬1927⪨≂(∃⊬7F5⋷∃⊬1378)))⨟⋌⩍(+⊝⨔∃⊬DA1≹⇙⪍∃⊬A9B≹⇙⪍(↽≂∃⊬4C9))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7894,"operation_count":11,"complexity_ratio":717.6363636363636,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1253,"base":16},"right_expr":{"type":"numeric_atoms","value":2510,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5421,"base":16},"right_expr":{"type":"numeric_atoms","value":6439,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2037,"base":16},"right_expr":{"type":"numeric_atoms","value":4984,"base":16}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3489,"base":16},"right_expr":{"type":"numeric_atoms","value":2715,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1225,"base":16}}}}},"used_operators":["rGHVDoGpnC","23Mk6UjR3U","XTarYq4gQB","8HhzD0ZcuI","sdazOOVcIp","Nsiff2A1zJ","DhbWaqg5eL","AHs5Up7iyr","u6S6b8DprG"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1253","layer":4},{"info":"number node, value=2510","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=2510, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4716243","layer":3},{"info":"compute unary expreesion, input=-4716243, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=693287721","layer":2},{"info":"number node, value=5421","layer":4},{"info":"number node, value=6439","layer":4},{"info":"compute binary expreesion, left_input=5421, right_input=6439, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2037","layer":4},{"info":"number node, value=4984","layer":4},{"info":"compute binary expreesion, left_input=2037, right_input=4984, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7931","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7931, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=693287721, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3489","layer":4},{"info":"number node, value=2715","layer":4},{"info":"compute binary expreesion, left_input=3489, right_input=2715, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2450","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2450, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = 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":"((⪝⪂⫅(∃⊬4E5⨽∃⊬9CE))⋷(∃⊬152D⊴∃⊬1927⪨≂(∃⊬7F5⋷∃⊬1378)))⨟⋌⩍(+⊝⨔∃⊬DA1≹⇙⪍∃⊬A9B≹⇙⪍(↽≂∃⊬4C9))=NaN","reverse_text":"NaN=((⪝⪂⫅(∃⊬4E5⨽∃⊬9CE))⋷(∃⊬152D⊴∃⊬1927⪨≂(∃⊬7F5⋷∃⊬1378)))⨟⋌⩍(+⊝⨔∃⊬DA1≹⇙⪍∃⊬A9B≹⇙⪍(↽≂∃⊬4C9))","cot":[{"info":"∃⊬4E5⨽∃⊬9CE=∃⊬-47F6D3","layer":3},{"info":"⪝⪂⫅∃⊬-47F6D3=∃⊬2952BB29","layer":2},{"info":"∃⊬152D⊴∃⊬1927=NaN","layer":3},{"info":"∃⊬7F5⋷∃⊬1378=∃⊬1EFB","layer":3},{"info":"NaN⪨≂∃⊬1EFB=NaN","layer":2},{"info":"∃⊬2952BB29⋷NaN=NaN","layer":1},{"info":"∃⊬DA1≹⇙⪍∃⊬A9B=NaN","layer":3},{"info":"↽≂∃⊬4C9=∃⊬-992","layer":3},{"info":"NaN≹⇙⪍∃⊬-992=NaN","layer":2},{"info":"+⊝⨔NaN=∃⊬5F2","layer":1},{"info":"NaN⨟⋌⩍∃⊬5F2=NaN","layer":0}]}
{"id":308,"expression_no_base_symbol":"((($4272$↙$8381$)⨎($1527$-$3220$))⪮%⊝(($6693$⫡⨏$1418$)⫩⊇))⪮%⊝((≤/(⊙↵-$4197$))⪒(($6584$⊘)⋷(⫓⪴$6640$)))","expression":"(((∃⊬10B0↙∃⊬20BD)⨎(∃⊬5F7-∃⊬C94))⪮%⊝((∃⊬1A25⫡⨏∃⊬58A)⫩⊇))⪮%⊝((≤/(⊙↵-∃⊬1065))⪒((∃⊬19B8⊘)⋷(⫓⪴∃⊬19F0)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":19321,"operation_count":13,"complexity_ratio":1486.2307692307693,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4272,"base":16},"right_expr":{"type":"numeric_atoms","value":8381,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1527,"base":16},"right_expr":{"type":"numeric_atoms","value":3220,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6693,"base":16},"right_expr":{"type":"numeric_atoms","value":1418,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4197,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6584,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6640,"base":16}}}}},"used_operators":["IWmyXbctLI","rJVOvQCfKK","yyfyN0ffXY","rysDP5nf3Z","BjRHVeLaeN","QMFrweE19q","f6k1SAg4EE","eLAdDNolq6","oWn0xqSxBt","23Mk6UjR3U","gu96TGCTMs","eLxqMNBOBk"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A"],"result":"∃⊬-16C0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4272","layer":4},{"info":"number node, value=8381","layer":4},{"info":"compute binary expreesion, left_input=4272, right_input=8381, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-25143","layer":3},{"info":"number node, value=1527","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=1527, right_input=3220, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1693","layer":3},{"info":"compute binary expreesion, left_input=-25143, right_input=-1693, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1693","layer":2},{"info":"number node, value=6693","layer":4},{"info":"number node, value=1418","layer":4},{"info":"compute binary expreesion, left_input=6693, right_input=1418, 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=37084","layer":3},{"info":"compute unary expreesion, input=37084, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-37042","layer":2},{"info":"compute binary expreesion, left_input=-1693, right_input=-37042, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-3070","layer":1},{"info":"number node, value=4197","layer":4},{"info":"compute unary expreesion, input=4197, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=485","layer":2},{"info":"number node, value=6584","layer":4},{"info":"compute unary expreesion, input=6584, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=6640","layer":4},{"info":"compute unary expreesion, input=6640, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=44089600","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=44089600, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=485, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-485","layer":1},{"info":"compute binary expreesion, left_input=-3070, right_input=-485, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-5824","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬10B0↙∃⊬20BD)⨎(∃⊬5F7-∃⊬C94))⪮%⊝((∃⊬1A25⫡⨏∃⊬58A)⫩⊇))⪮%⊝((≤/(⊙↵-∃⊬1065))⪒((∃⊬19B8⊘)⋷(⫓⪴∃⊬19F0)))=∃⊬-16C0","reverse_text":"∃⊬-16C0=(((∃⊬10B0↙∃⊬20BD)⨎(∃⊬5F7-∃⊬C94))⪮%⊝((∃⊬1A25⫡⨏∃⊬58A)⫩⊇))⪮%⊝((≤/(⊙↵-∃⊬1065))⪒((∃⊬19B8⊘)⋷(⫓⪴∃⊬19F0)))","cot":[{"info":"∃⊬10B0↙∃⊬20BD=∃⊬-6237","layer":3},{"info":"∃⊬5F7-∃⊬C94=∃⊬-69D","layer":3},{"info":"∃⊬-6237⨎∃⊬-69D=∃⊬-69D","layer":2},{"info":"∃⊬1A25⫡⨏∃⊬58A=∃⊬90DC","layer":3},{"info":"∃⊬90DC⫩⊇=∃⊬-90B2","layer":2},{"info":"∃⊬-69D⪮%⊝∃⊬-90B2=∃⊬-BFE","layer":1},{"info":"⊙↵-∃⊬1065=∃⊬-1","layer":3},{"info":"≤/∃⊬-1=∃⊬1E5","layer":2},{"info":"∃⊬19B8⊘=∃⊬0","layer":3},{"info":"⫓⪴∃⊬19F0=∃⊬2A0C100","layer":3},{"info":"∃⊬0⋷∃⊬2A0C100=∃⊬0","layer":2},{"info":"∃⊬1E5⪒∃⊬0=∃⊬-1E5","layer":1},{"info":"∃⊬-BFE⪮%⊝∃⊬-1E5=∃⊬-16C0","layer":0}]}
{"id":309,"expression_no_base_symbol":"(⨞⊢($6302$*$1621$))∀⇚≩(($8040$⨎$1648$)⨓($7572$⨐⩸⫘$1386$))⩷∴(⇁⨣⪵($1533$/$7271$))⇷($5423$⩨$2863$%$5869$∼$4592$)","expression":"(⨞⊢(∃⊬189E*∃⊬655))∀⇚≩((∃⊬1F68⨎∃⊬670)⨓(∃⊬1D94⨐⩸⫘∃⊬56A))⩷∴(⇁⨣⪵(∃⊬5FD/∃⊬1C67))⇷(∃⊬152F⩨∃⊬B2F%∃⊬16ED∼∃⊬11F0)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1770,"operation_count":13,"complexity_ratio":136.15384615384616,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6302,"base":16},"right_expr":{"type":"numeric_atoms","value":1621,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8040,"base":16},"right_expr":{"type":"numeric_atoms","value":1648,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7572,"base":16},"right_expr":{"type":"numeric_atoms","value":1386,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1533,"base":16},"right_expr":{"type":"numeric_atoms","value":7271,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5423,"base":16},"right_expr":{"type":"numeric_atoms","value":2863,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5869,"base":16},"right_expr":{"type":"numeric_atoms","value":4592,"base":16}}}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","xUOZtlo3hN","9HNa5Wba9A","3ViojmjbAp","rJVOvQCfKK","fu6greOZ01","mp7IySMOzn","inkyxCbjAn","XhwjNDsVaA","k8jYdgA6NY","2DlMacCsIx","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6302","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=6302, right_input=1621, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10215542","layer":3},{"info":"compute unary expreesion, input=10215542, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-10215716","layer":2},{"info":"number node, value=8040","layer":4},{"info":"number node, value=1648","layer":4},{"info":"compute binary expreesion, left_input=8040, right_input=1648, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1648","layer":3},{"info":"number node, value=7572","layer":4},{"info":"number node, value=1386","layer":4},{"info":"compute binary expreesion, left_input=7572, right_input=1386, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1648, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10215716, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1533","layer":4},{"info":"number node, value=7271","layer":4},{"info":"compute binary expreesion, left_input=1533, right_input=7271, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=5423","layer":4},{"info":"number node, value=2863","layer":4},{"info":"compute binary expreesion, left_input=5423, right_input=2863, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5869","layer":4},{"info":"number node, value=4592","layer":4},{"info":"compute binary expreesion, left_input=5869, right_input=4592, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"(⨞⊢(∃⊬189E*∃⊬655))∀⇚≩((∃⊬1F68⨎∃⊬670)⨓(∃⊬1D94⨐⩸⫘∃⊬56A))⩷∴(⇁⨣⪵(∃⊬5FD/∃⊬1C67))⇷(∃⊬152F⩨∃⊬B2F%∃⊬16ED∼∃⊬11F0)=NaN","reverse_text":"NaN=(⨞⊢(∃⊬189E*∃⊬655))∀⇚≩((∃⊬1F68⨎∃⊬670)⨓(∃⊬1D94⨐⩸⫘∃⊬56A))⩷∴(⇁⨣⪵(∃⊬5FD/∃⊬1C67))⇷(∃⊬152F⩨∃⊬B2F%∃⊬16ED∼∃⊬11F0)","cot":[{"info":"∃⊬189E*∃⊬655=∃⊬9BE076","layer":3},{"info":"⨞⊢∃⊬9BE076=∃⊬-9BE124","layer":2},{"info":"∃⊬1F68⨎∃⊬670=∃⊬670","layer":3},{"info":"∃⊬1D94⨐⩸⫘∃⊬56A=NaN","layer":3},{"info":"∃⊬670⨓NaN=NaN","layer":2},{"info":"∃⊬-9BE124∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬5FD/∃⊬1C67=∃⊬0","layer":3},{"info":"⇁⨣⪵∃⊬0=∃⊬0","layer":2},{"info":"∃⊬152F⩨∃⊬B2F=∃⊬0","layer":3},{"info":"∃⊬16ED∼∃⊬11F0=NaN","layer":3},{"info":"∃⊬0%NaN=NaN","layer":2},{"info":"∃⊬0⇷NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":310,"expression_no_base_symbol":"(⊙↵-($4947$*$4155$))⨰($1459$⊴$1011$⩷∴($2116$⊭∹↮))≧⫂∧(⨈⫕($1152$↙$3118$)⇷(⪲⇎$4202$))","expression":"(⊙↵-(∃⊬1353*∃⊬103B))⨰(∃⊬5B3⊴∃⊬3F3⩷∴(∃⊬844⊭∹↮))≧⫂∧(⨈⫕(∃⊬480↙∃⊬C2E)⇷(⪲⇎∃⊬106A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":141810,"operation_count":11,"complexity_ratio":12891.818181818182,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4947,"base":16},"right_expr":{"type":"numeric_atoms","value":4155,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1459,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2116,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1152,"base":16},"right_expr":{"type":"numeric_atoms","value":3118,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":4202,"base":16}}}}},"used_operators":["Ph9nP6C5qx","eewbuw0ToL","oWn0xqSxBt","9HNa5Wba9A","9FxExcQeMw","Nsiff2A1zJ","xNBdhnnwKq","megm06wKyl","mp7IySMOzn","yyfyN0ffXY","XPYlsWDdGa"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1EE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4947","layer":4},{"info":"number node, value=4155","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=4155, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20554785","layer":3},{"info":"compute unary expreesion, input=20554785, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=1459","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1459, right_input=1011, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2116","layer":4},{"info":"compute unary expreesion, input=2116, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4232","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4232, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=1152","layer":4},{"info":"number node, value=3118","layer":4},{"info":"compute binary expreesion, left_input=1152, right_input=3118, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9354","layer":3},{"info":"number node, value=4202","layer":4},{"info":"compute unary expreesion, input=4202, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=8404","layer":3},{"info":"compute binary expreesion, left_input=-9354, right_input=8404, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=16808","layer":2},{"info":"compute unary expreesion, input=16808, 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 = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-(∃⊬1353*∃⊬103B))⨰(∃⊬5B3⊴∃⊬3F3⩷∴(∃⊬844⊭∹↮))≧⫂∧(⨈⫕(∃⊬480↙∃⊬C2E)⇷(⪲⇎∃⊬106A))=∃⊬-1EE","reverse_text":"∃⊬-1EE=(⊙↵-(∃⊬1353*∃⊬103B))⨰(∃⊬5B3⊴∃⊬3F3⩷∴(∃⊬844⊭∹↮))≧⫂∧(⨈⫕(∃⊬480↙∃⊬C2E)⇷(⪲⇎∃⊬106A))","cot":[{"info":"∃⊬1353*∃⊬103B=∃⊬139A421","layer":3},{"info":"⊙↵-∃⊬139A421=∃⊬-1","layer":2},{"info":"∃⊬5B3⊴∃⊬3F3=NaN","layer":3},{"info":"∃⊬844⊭∹↮=∃⊬1088","layer":3},{"info":"NaN⩷∴∃⊬1088=NaN","layer":2},{"info":"∃⊬-1⨰NaN=NaN","layer":1},{"info":"∃⊬480↙∃⊬C2E=∃⊬-248A","layer":3},{"info":"⪲⇎∃⊬106A=∃⊬20D4","layer":3},{"info":"∃⊬-248A⇷∃⊬20D4=∃⊬41A8","layer":2},{"info":"⨈⫕∃⊬41A8=∃⊬-15","layer":1},{"info":"NaN≧⫂∧∃⊬-15=∃⊬-1EE","layer":0}]}
{"id":311,"expression_no_base_symbol":"(⪝⪂⫅((↩$1198$)⩚⊴⇥(≉$8044$)))⋳⪒((⇁⨣⪵$3738$)⨰(+⊝⨔$2057$)∲⫓$7478$⋝⋈⪟$5373$≎⊠⪸($1148$≎⊠⪸$1693$))","expression":"(⪝⪂⫅((↩∃⊬4AE)⩚⊴⇥(≉∃⊬1F6C)))⋳⪒((⇁⨣⪵∃⊬E9A)⨰(+⊝⨔∃⊬809)∲⫓∃⊬1D36⋝⋈⪟∃⊬14FD≎⊠⪸(∃⊬47C≎⊠⪸∃⊬69D))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":770,"operation_count":12,"complexity_ratio":64.16666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1198,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8044,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3738,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2057,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":7478,"base":16},"right_expr":{"type":"numeric_atoms","value":5373,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1148,"base":16},"right_expr":{"type":"numeric_atoms","value":1693,"base":16}}}}},"used_operators":["12rbrZMWeM","XTarYq4gQB","NTOWxs364D","jLgFTUHLKL","e1ybzncUwg","i8ToyICDmI","eewbuw0ToL","inkyxCbjAn","DhbWaqg5eL","bJkvcejdHO","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬87BB9","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1198","layer":4},{"info":"compute unary expreesion, input=1198, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-6804","layer":3},{"info":"number node, value=8044","layer":4},{"info":"compute unary expreesion, input=8044, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=8575","layer":3},{"info":"compute binary expreesion, left_input=-6804, right_input=8575, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1892","layer":2},{"info":"compute unary expreesion, input=-1892, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=278124","layer":1},{"info":"number node, value=3738","layer":4},{"info":"compute unary expreesion, input=3738, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2057","layer":4},{"info":"compute unary expreesion, input=2057, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=7478","layer":4},{"info":"number node, value=5373","layer":4},{"info":"compute binary expreesion, left_input=7478, right_input=5373, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=7478","layer":3},{"info":"number node, value=1148","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=1148, right_input=1693, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=296859","layer":3},{"info":"compute binary expreesion, left_input=7478, right_input=296859, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1936329","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1936329, 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=278124, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=555961","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅((↩∃⊬4AE)⩚⊴⇥(≉∃⊬1F6C)))⋳⪒((⇁⨣⪵∃⊬E9A)⨰(+⊝⨔∃⊬809)∲⫓∃⊬1D36⋝⋈⪟∃⊬14FD≎⊠⪸(∃⊬47C≎⊠⪸∃⊬69D))=∃⊬87BB9","reverse_text":"∃⊬87BB9=(⪝⪂⫅((↩∃⊬4AE)⩚⊴⇥(≉∃⊬1F6C)))⋳⪒((⇁⨣⪵∃⊬E9A)⨰(+⊝⨔∃⊬809)∲⫓∃⊬1D36⋝⋈⪟∃⊬14FD≎⊠⪸(∃⊬47C≎⊠⪸∃⊬69D))","cot":[{"info":"↩∃⊬4AE=∃⊬-1A94","layer":3},{"info":"≉∃⊬1F6C=∃⊬217F","layer":3},{"info":"∃⊬-1A94⩚⊴⇥∃⊬217F=∃⊬-764","layer":2},{"info":"⪝⪂⫅∃⊬-764=∃⊬43E6C","layer":1},{"info":"⇁⨣⪵∃⊬E9A=NaN","layer":3},{"info":"+⊝⨔∃⊬809=∃⊬5F2","layer":3},{"info":"NaN⨰∃⊬5F2=NaN","layer":2},{"info":"∃⊬1D36⋝⋈⪟∃⊬14FD=∃⊬1D36","layer":3},{"info":"∃⊬47C≎⊠⪸∃⊬69D=∃⊬4879B","layer":3},{"info":"∃⊬1D36≎⊠⪸∃⊬4879B=∃⊬1D8BC9","layer":2},{"info":"NaN∲⫓∃⊬1D8BC9=∃⊬0","layer":1},{"info":"∃⊬43E6C⋳⪒∃⊬0=∃⊬87BB9","layer":0}]}
{"id":312,"expression_no_base_symbol":"(($3869$*$7302$⪒$1796$≹⇙⪍$1282$)⪒(($6540$⪨≂$6449$)≦≮≮))⨎($3833$⩷∴$3756$⨽$3631$⋥≓≎$4871$)∼((∥⊫$1407$)⋳⪒($1835$⨵⪆$3323$))","expression":"((∃⊬F1D*∃⊬1C86⪒∃⊬704≹⇙⪍∃⊬502)⪒((∃⊬198C⪨≂∃⊬1931)≦≮≮))⨎(∃⊬EF9⩷∴∃⊬EAC⨽∃⊬E2F⋥≓≎∃⊬1307)∼((∥⊫∃⊬57F)⋳⪒(∃⊬72B⨵⪆∃⊬CFB))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5251,"operation_count":14,"complexity_ratio":375.07142857142856,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3869,"base":16},"right_expr":{"type":"numeric_atoms","value":7302,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1796,"base":16},"right_expr":{"type":"numeric_atoms","value":1282,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6540,"base":16},"right_expr":{"type":"numeric_atoms","value":6449,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3833,"base":16},"right_expr":{"type":"numeric_atoms","value":3756,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3631,"base":16},"right_expr":{"type":"numeric_atoms","value":4871,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1407,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1835,"base":16},"right_expr":{"type":"numeric_atoms","value":3323,"base":16}}}}},"used_operators":["rJVOvQCfKK","f6k1SAg4EE","9HNa5Wba9A","AHs5Up7iyr","D4vGDi5EA2","sdazOOVcIp","DyGG3AbaNP","8HhzD0ZcuI","9FxExcQeMw","Qy55tPpLXF","12rbrZMWeM","P8v4zCKN1o","2DQ55sFlQl"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3869","layer":4},{"info":"number node, value=7302","layer":4},{"info":"compute binary expreesion, left_input=3869, right_input=7302, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=28251438","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=1282, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=28251438, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6540","layer":4},{"info":"number node, value=6449","layer":4},{"info":"compute binary expreesion, left_input=6540, right_input=6449, 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=284","layer":3},{"info":"compute unary expreesion, input=284, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-852","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-852, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3833","layer":4},{"info":"number node, value=3756","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=3756, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=122","layer":3},{"info":"number node, value=3631","layer":4},{"info":"number node, value=4871","layer":4},{"info":"compute binary expreesion, left_input=3631, right_input=4871, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6144","layer":3},{"info":"compute binary expreesion, left_input=122, right_input=6144, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-61770","layer":2},{"info":"number node, value=1407","layer":4},{"info":"compute unary expreesion, input=1407, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2275","layer":3},{"info":"number node, value=1835","layer":4},{"info":"number node, value=3323","layer":4},{"info":"compute binary expreesion, left_input=1835, right_input=3323, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2275, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4103","layer":2},{"info":"compute binary expreesion, left_input=-61770, right_input=4103, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((∃⊬F1D*∃⊬1C86⪒∃⊬704≹⇙⪍∃⊬502)⪒((∃⊬198C⪨≂∃⊬1931)≦≮≮))⨎(∃⊬EF9⩷∴∃⊬EAC⨽∃⊬E2F⋥≓≎∃⊬1307)∼((∥⊫∃⊬57F)⋳⪒(∃⊬72B⨵⪆∃⊬CFB))=NaN","reverse_text":"NaN=((∃⊬F1D*∃⊬1C86⪒∃⊬704≹⇙⪍∃⊬502)⪒((∃⊬198C⪨≂∃⊬1931)≦≮≮))⨎(∃⊬EF9⩷∴∃⊬EAC⨽∃⊬E2F⋥≓≎∃⊬1307)∼((∥⊫∃⊬57F)⋳⪒(∃⊬72B⨵⪆∃⊬CFB))","cot":[{"info":"∃⊬F1D*∃⊬1C86=∃⊬1AF152E","layer":3},{"info":"∃⊬704≹⇙⪍∃⊬502=NaN","layer":3},{"info":"∃⊬1AF152E⪒NaN=NaN","layer":2},{"info":"∃⊬198C⪨≂∃⊬1931=∃⊬11C","layer":3},{"info":"∃⊬11C≦≮≮=∃⊬-354","layer":2},{"info":"NaN⪒∃⊬-354=NaN","layer":1},{"info":"∃⊬EF9⩷∴∃⊬EAC=∃⊬7A","layer":3},{"info":"∃⊬E2F⋥≓≎∃⊬1307=∃⊬1800","layer":3},{"info":"∃⊬7A⨽∃⊬1800=∃⊬-F14A","layer":2},{"info":"∥⊫∃⊬57F=∃⊬8E3","layer":3},{"info":"∃⊬72B⨵⪆∃⊬CFB=∃⊬A0","layer":3},{"info":"∃⊬8E3⋳⪒∃⊬A0=∃⊬1007","layer":2},{"info":"∃⊬-F14A∼∃⊬1007=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":313,"expression_no_base_symbol":"((↯⪼(⪝⪂⫅$1074$))⫩⊇)⩷∴((⫛⫱⨽$7662$)⋓($2341$⫡⨏$2233$)⊉≛↸(∂$1097$∼$5343$))","expression":"((↯⪼(⪝⪂⫅∃⊬432))⫩⊇)⩷∴((⫛⫱⨽∃⊬1DEE)⋓(∃⊬925⫡⨏∃⊬8B9)⊉≛↸(∂∃⊬449∼∃⊬14DF))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1639,"operation_count":10,"complexity_ratio":163.9,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1074,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7662,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2341,"base":16},"right_expr":{"type":"numeric_atoms","value":2233,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1097,"base":16},"right_expr":{"type":"numeric_atoms","value":5343,"base":16}}}}},"used_operators":["9FxExcQeMw","BjRHVeLaeN","8jW3W4yZS5","XTarYq4gQB","DZ8iAZOCBD","T2fj7uvVaJ","DlLNRPXxWL","QMFrweE19q","Uaa54Peajs","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬-99B7A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1074","layer":4},{"info":"compute unary expreesion, input=1074, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-157878","layer":3},{"info":"compute unary expreesion, input=-157878, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=314839","layer":2},{"info":"compute unary expreesion, input=314839, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-314797","layer":1},{"info":"number node, value=7662","layer":4},{"info":"compute unary expreesion, input=7662, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2341","layer":4},{"info":"number node, value=2233","layer":4},{"info":"compute binary expreesion, left_input=2341, right_input=2233, 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=16954","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16954, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=5343","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=5343, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=-314797, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-629626","layer":0}],"base":16,"result_base":16,"text":"((↯⪼(⪝⪂⫅∃⊬432))⫩⊇)⩷∴((⫛⫱⨽∃⊬1DEE)⋓(∃⊬925⫡⨏∃⊬8B9)⊉≛↸(∂∃⊬449∼∃⊬14DF))=∃⊬-99B7A","reverse_text":"∃⊬-99B7A=((↯⪼(⪝⪂⫅∃⊬432))⫩⊇)⩷∴((⫛⫱⨽∃⊬1DEE)⋓(∃⊬925⫡⨏∃⊬8B9)⊉≛↸(∂∃⊬449∼∃⊬14DF))","cot":[{"info":"⪝⪂⫅∃⊬432=∃⊬-268B6","layer":3},{"info":"↯⪼∃⊬-268B6=∃⊬4CDD7","layer":2},{"info":"∃⊬4CDD7⫩⊇=∃⊬-4CDAD","layer":1},{"info":"⫛⫱⨽∃⊬1DEE=∃⊬0","layer":3},{"info":"∃⊬925⫡⨏∃⊬8B9=∃⊬423A","layer":3},{"info":"∃⊬0⋓∃⊬423A=∃⊬0","layer":2},{"info":"∃⊬449∼∃⊬14DF=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"∃⊬0⊉≛↸NaN=∃⊬0","layer":1},{"info":"∃⊬-4CDAD⩷∴∃⊬0=∃⊬-99B7A","layer":0}]}
{"id":314,"expression_no_base_symbol":"(⨈⫕(≦∁($2277$⊪)))⇼⇔∾(⪲⇎(∂$6111$)⨟⋌⩍($7032$⪠⩆⊳))","expression":"(⨈⫕(≦∁(∃⊬8E5⊪)))⇼⇔∾(⪲⇎(∂∃⊬17DF)⨟⋌⩍(∃⊬1B78⪠⩆⊳))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":458,"operation_count":8,"complexity_ratio":57.25,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2277,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6111,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":7032,"base":16}}}}},"used_operators":["tifHPKVTfV","megm06wKyl","9ICcGScMcE","zVYPLywUTj","XPYlsWDdGa","rGHVDoGpnC","Uaa54Peajs","JLbD19bQDL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2277","layer":4},{"info":"compute unary expreesion, input=2277, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-320","layer":2},{"info":"compute unary expreesion, input=-320, 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=6111","layer":4},{"info":"compute unary expreesion, input=6111, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=7032","layer":4},{"info":"compute unary expreesion, input=7032, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , 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":"(⨈⫕(≦∁(∃⊬8E5⊪)))⇼⇔∾(⪲⇎(∂∃⊬17DF)⨟⋌⩍(∃⊬1B78⪠⩆⊳))=NaN","reverse_text":"NaN=(⨈⫕(≦∁(∃⊬8E5⊪)))⇼⇔∾(⪲⇎(∂∃⊬17DF)⨟⋌⩍(∃⊬1B78⪠⩆⊳))","cot":[{"info":"∃⊬8E5⊪=∃⊬0","layer":3},{"info":"≦∁∃⊬0=∃⊬-140","layer":2},{"info":"⨈⫕∃⊬-140=∃⊬-15","layer":1},{"info":"∂∃⊬17DF=NaN","layer":3},{"info":"∃⊬1B78⪠⩆⊳=∃⊬0","layer":3},{"info":"NaN⨟⋌⩍∃⊬0=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"∃⊬-15⇼⇔∾NaN=NaN","layer":0}]}
{"id":315,"expression_no_base_symbol":"(($2509$⨵⪆$1856$)⫸⊐(⨞⊢$2500$))∼(⇁⨣⪵($3219$≫≃))⊠≄⫣","expression":"((∃⊬9CD⨵⪆∃⊬740)⫸⊐(⨞⊢∃⊬9C4))∼(⇁⨣⪵(∃⊬C93≫≃))⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26,"operation_count":7,"complexity_ratio":3.7142857142857144,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2509,"base":16},"right_expr":{"type":"numeric_atoms","value":1856,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2500,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":3219,"base":16}}}}},"used_operators":["DIvbN7qnHd","DyGG3AbaNP","mqXw5SEYmG","2DQ55sFlQl","xUOZtlo3hN","inkyxCbjAn","X99M06cbEe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1856, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2500","layer":4},{"info":"compute unary expreesion, input=2500, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2674","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2674, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":2},{"info":"number node, value=3219","layer":4},{"info":"compute unary expreesion, input=3219, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=7839","layer":3},{"info":"compute unary expreesion, input=7839, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬9CD⨵⪆∃⊬740)⫸⊐(⨞⊢∃⊬9C4))∼(⇁⨣⪵(∃⊬C93≫≃))⊠≄⫣=NaN","reverse_text":"NaN=((∃⊬9CD⨵⪆∃⊬740)⫸⊐(⨞⊢∃⊬9C4))∼(⇁⨣⪵(∃⊬C93≫≃))⊠≄⫣","cot":[{"info":"∃⊬9CD⨵⪆∃⊬740=∃⊬A0","layer":3},{"info":"⨞⊢∃⊬9C4=∃⊬-A72","layer":3},{"info":"∃⊬A0⫸⊐∃⊬-A72=∃⊬140","layer":2},{"info":"∃⊬C93≫≃=∃⊬1E9F","layer":3},{"info":"⇁⨣⪵∃⊬1E9F=NaN","layer":2},{"info":"∃⊬140∼NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":316,"expression_no_base_symbol":"↯⪼(($2999$⋳⪒$8003$⪐)⇼⇔∾($6351$⫸⊐$2940$)⨪↰⇹($2119$⨽$1116$))","expression":"↯⪼((∃⊬BB7⋳⪒∃⊬1F43⪐)⇼⇔∾(∃⊬18CF⫸⊐∃⊬B7C)⨪↰⇹(∃⊬847⨽∃⊬45C))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13829,"operation_count":7,"complexity_ratio":1975.5714285714287,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2999,"base":16},"right_expr":{"type":"numeric_atoms","value":8003,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6351,"base":16},"right_expr":{"type":"numeric_atoms","value":2940,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2119,"base":16},"right_expr":{"type":"numeric_atoms","value":1116,"base":16}}}}},"used_operators":["8jW3W4yZS5","tifHPKVTfV","eH2TOUuTDT","12rbrZMWeM","tmPS8pqC7x","mqXw5SEYmG","8HhzD0ZcuI"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2999","layer":4},{"info":"number node, value=8003","layer":4},{"info":"compute binary expreesion, left_input=2999, right_input=8003, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2292","layer":3},{"info":"compute unary expreesion, input=-2292, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-4584","layer":2},{"info":"number node, value=6351","layer":4},{"info":"number node, value=2940","layer":4},{"info":"compute binary expreesion, left_input=6351, right_input=2940, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11635","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1116, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13472517","layer":3},{"info":"compute binary expreesion, left_input=11635, right_input=-13472517, 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=11635","layer":2},{"info":"compute binary expreesion, left_input=-4584, right_input=11635, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=16219","layer":1},{"info":"compute unary expreesion, input=16219, 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":"↯⪼((∃⊬BB7⋳⪒∃⊬1F43⪐)⇼⇔∾(∃⊬18CF⫸⊐∃⊬B7C)⨪↰⇹(∃⊬847⨽∃⊬45C))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼((∃⊬BB7⋳⪒∃⊬1F43⪐)⇼⇔∾(∃⊬18CF⫸⊐∃⊬B7C)⨪↰⇹(∃⊬847⨽∃⊬45C))","cot":[{"info":"∃⊬BB7⋳⪒∃⊬1F43=∃⊬-8F4","layer":3},{"info":"∃⊬-8F4⪐=∃⊬-11E8","layer":2},{"info":"∃⊬18CF⫸⊐∃⊬B7C=∃⊬2D73","layer":3},{"info":"∃⊬847⨽∃⊬45C=∃⊬-CD9305","layer":3},{"info":"∃⊬2D73⨪↰⇹∃⊬-CD9305=∃⊬2D73","layer":2},{"info":"∃⊬-11E8⇼⇔∾∃⊬2D73=∃⊬3F5B","layer":1},{"info":"↯⪼∃⊬3F5B=∃⊬-15","layer":0}]}
{"id":317,"expression_no_base_symbol":"((⨞⊢($7393$⨸⪁$3869$))∲⫓(⋗⩬⋾($3929$⨸⪁$1229$)))⨸⪁((↯⪼$3648$)/$2263$-$1400$)⨳⩥⨓$1195$⋓$4103$⨐⩸⫘$4740$⪛$3617$","expression":"((⨞⊢(∃⊬1CE1⨸⪁∃⊬F1D))∲⫓(⋗⩬⋾(∃⊬F59⨸⪁∃⊬4CD)))⨸⪁((↯⪼∃⊬E40)/∃⊬8D7-∃⊬578)⨳⩥⨓∃⊬4AB⋓∃⊬1007⨐⩸⫘∃⊬1284⪛∃⊬E21","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":69,"operation_count":13,"complexity_ratio":5.3076923076923075,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7393,"base":16},"right_expr":{"type":"numeric_atoms","value":3869,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3929,"base":16},"right_expr":{"type":"numeric_atoms","value":1229,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3648,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2263,"base":16},"right_expr":{"type":"numeric_atoms","value":1400,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1195,"base":16},"right_expr":{"type":"numeric_atoms","value":4103,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4740,"base":16},"right_expr":{"type":"numeric_atoms","value":3617,"base":16}}}}},"used_operators":["g55IO6H4Gj","i8ToyICDmI","xUOZtlo3hN","DpFCA1CohY","nCS4ZIUYfx","XhwjNDsVaA","8jW3W4yZS5","rysDP5nf3Z","fu6greOZ01","T2fj7uvVaJ","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7393","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=7393, right_input=3869, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=22524","layer":3},{"info":"compute unary expreesion, input=22524, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-22698","layer":2},{"info":"number node, value=3929","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=1229, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10316","layer":3},{"info":"compute unary expreesion, input=10316, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-30948","layer":2},{"info":"compute binary expreesion, left_input=-22698, right_input=-30948, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-22698","layer":1},{"info":"number node, value=3648","layer":4},{"info":"compute unary expreesion, input=3648, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2263","layer":4},{"info":"number node, value=1400","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=1400, op_id = rysDP5nf3Z binary_op_definition= 'None', output=863","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=863, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=1195","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=4103, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4740","layer":4},{"info":"number node, value=3617","layer":4},{"info":"compute binary expreesion, left_input=4740, right_input=3617, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1123","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1123, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-22698, 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":"((⨞⊢(∃⊬1CE1⨸⪁∃⊬F1D))∲⫓(⋗⩬⋾(∃⊬F59⨸⪁∃⊬4CD)))⨸⪁((↯⪼∃⊬E40)/∃⊬8D7-∃⊬578)⨳⩥⨓∃⊬4AB⋓∃⊬1007⨐⩸⫘∃⊬1284⪛∃⊬E21=NaN","reverse_text":"NaN=((⨞⊢(∃⊬1CE1⨸⪁∃⊬F1D))∲⫓(⋗⩬⋾(∃⊬F59⨸⪁∃⊬4CD)))⨸⪁((↯⪼∃⊬E40)/∃⊬8D7-∃⊬578)⨳⩥⨓∃⊬4AB⋓∃⊬1007⨐⩸⫘∃⊬1284⪛∃⊬E21","cot":[{"info":"∃⊬1CE1⨸⪁∃⊬F1D=∃⊬57FC","layer":3},{"info":"⨞⊢∃⊬57FC=∃⊬-58AA","layer":2},{"info":"∃⊬F59⨸⪁∃⊬4CD=∃⊬284C","layer":3},{"info":"⋗⩬⋾∃⊬284C=∃⊬-78E4","layer":2},{"info":"∃⊬-58AA∲⫓∃⊬-78E4=∃⊬-58AA","layer":1},{"info":"↯⪼∃⊬E40=∃⊬-15","layer":3},{"info":"∃⊬8D7-∃⊬578=∃⊬35F","layer":3},{"info":"∃⊬-15/∃⊬35F=∃⊬-1","layer":2},{"info":"∃⊬4AB⋓∃⊬1007=∃⊬0","layer":3},{"info":"∃⊬1284⪛∃⊬E21=∃⊬463","layer":3},{"info":"∃⊬0⨐⩸⫘∃⊬463=NaN","layer":2},{"info":"∃⊬-1⨳⩥⨓NaN=NaN","layer":1},{"info":"∃⊬-58AA⨸⪁NaN=NaN","layer":0}]}
{"id":318,"expression_no_base_symbol":"((⨑⩽⪐$6955$)⪛(⫛⫱⨽$1336$))⪮%⊝(↯⪼($3713$⨸⪁$1179$))⋥≓≎(($5088$⊭↱$1531$)⪄($5286$↛⩡⫤))⨐⩸⫘(($3698$%$6997$)⇼⇔∾($3190$/$4715$))","expression":"((⨑⩽⪐∃⊬1B2B)⪛(⫛⫱⨽∃⊬538))⪮%⊝(↯⪼(∃⊬E81⨸⪁∃⊬49B))⋥≓≎((∃⊬13E0⊭↱∃⊬5FB)⪄(∃⊬14A6↛⩡⫤))⨐⩸⫘((∃⊬E72%∃⊬1B55)⇼⇔∾(∃⊬C76/∃⊬126B))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17570,"operation_count":14,"complexity_ratio":1255.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6955,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1336,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3713,"base":16},"right_expr":{"type":"numeric_atoms","value":1179,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5088,"base":16},"right_expr":{"type":"numeric_atoms","value":1531,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5286,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3698,"base":16},"right_expr":{"type":"numeric_atoms","value":6997,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3190,"base":16},"right_expr":{"type":"numeric_atoms","value":4715,"base":16}}}}},"used_operators":["Qy55tPpLXF","IWmyXbctLI","uFcxV4UQCh","AF7qkfDlqP","DlLNRPXxWL","8jW3W4yZS5","g55IO6H4Gj","fu6greOZ01","SUmda5xLS4","COABgblf1C","FU0Cs4j7VP","tifHPKVTfV","k8jYdgA6NY","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6955","layer":4},{"info":"compute unary expreesion, input=6955, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6682","layer":3},{"info":"number node, value=1336","layer":4},{"info":"compute unary expreesion, input=1336, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6682, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=3713","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=1179, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9784","layer":3},{"info":"compute unary expreesion, input=9784, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=5088","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=5088, right_input=1531, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-7109","layer":3},{"info":"number node, value=5286","layer":4},{"info":"compute unary expreesion, input=5286, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-794275","layer":3},{"info":"compute binary expreesion, left_input=-7109, right_input=-794275, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=3698","layer":4},{"info":"number node, value=6997","layer":4},{"info":"compute binary expreesion, left_input=3698, right_input=6997, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3698","layer":3},{"info":"number node, value=3190","layer":4},{"info":"number node, value=4715","layer":4},{"info":"compute binary expreesion, left_input=3190, right_input=4715, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=3698, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3698","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=-3698, 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 = 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":"((⨑⩽⪐∃⊬1B2B)⪛(⫛⫱⨽∃⊬538))⪮%⊝(↯⪼(∃⊬E81⨸⪁∃⊬49B))⋥≓≎((∃⊬13E0⊭↱∃⊬5FB)⪄(∃⊬14A6↛⩡⫤))⨐⩸⫘((∃⊬E72%∃⊬1B55)⇼⇔∾(∃⊬C76/∃⊬126B))=∃⊬43","reverse_text":"∃⊬43=((⨑⩽⪐∃⊬1B2B)⪛(⫛⫱⨽∃⊬538))⪮%⊝(↯⪼(∃⊬E81⨸⪁∃⊬49B))⋥≓≎((∃⊬13E0⊭↱∃⊬5FB)⪄(∃⊬14A6↛⩡⫤))⨐⩸⫘((∃⊬E72%∃⊬1B55)⇼⇔∾(∃⊬C76/∃⊬126B))","cot":[{"info":"⨑⩽⪐∃⊬1B2B=∃⊬-1A1A","layer":3},{"info":"⫛⫱⨽∃⊬538=∃⊬0","layer":3},{"info":"∃⊬-1A1A⪛∃⊬0=NaN","layer":2},{"info":"∃⊬E81⨸⪁∃⊬49B=∃⊬2638","layer":3},{"info":"↯⪼∃⊬2638=∃⊬-15","layer":2},{"info":"NaN⪮%⊝∃⊬-15=NaN","layer":1},{"info":"∃⊬13E0⊭↱∃⊬5FB=∃⊬-1BC5","layer":3},{"info":"∃⊬14A6↛⩡⫤=∃⊬-C1EA3","layer":3},{"info":"∃⊬-1BC5⪄∃⊬-C1EA3=∃⊬F8B","layer":2},{"info":"∃⊬E72%∃⊬1B55=∃⊬E72","layer":3},{"info":"∃⊬C76/∃⊬126B=∃⊬0","layer":3},{"info":"∃⊬E72⇼⇔∾∃⊬0=∃⊬-E72","layer":2},{"info":"∃⊬F8B⨐⩸⫘∃⊬-E72=NaN","layer":1},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":0}]}
{"id":319,"expression_no_base_symbol":"(⨑⩽⪐($3306$↙$1566$)⪘⫢$3294$⨟⋌⩍$3072$)↙((≦∁($3267$↛⩡⫤))⨸⪁(⨰⫟⨤($1253$⨽$5239$)))","expression":"(⨑⩽⪐(∃⊬CEA↙∃⊬61E)⪘⫢∃⊬CDE⨟⋌⩍∃⊬C00)↙((≦∁(∃⊬CC3↛⩡⫤))⨸⪁(⨰⫟⨤(∃⊬4E5⨽∃⊬1477)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9464192,"operation_count":10,"complexity_ratio":946419.2,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3306,"base":16},"right_expr":{"type":"numeric_atoms","value":1566,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3294,"base":16},"right_expr":{"type":"numeric_atoms","value":3072,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3267,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1253,"base":16},"right_expr":{"type":"numeric_atoms","value":5239,"base":16}}}}},"used_operators":["yyfyN0ffXY","AF7qkfDlqP","oacrs7FA3X","rGHVDoGpnC","g55IO6H4Gj","9ICcGScMcE","FU0Cs4j7VP","Tw270M8GLb","8HhzD0ZcuI"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Tcnh7f0tEr","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3306","layer":4},{"info":"number node, value=1566","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=1566, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4698","layer":3},{"info":"number node, value=3294","layer":4},{"info":"number node, value=3072","layer":4},{"info":"compute binary expreesion, left_input=3294, right_input=3072, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4698, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"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":1},{"info":"number node, value=3267","layer":4},{"info":"compute unary expreesion, input=3267, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-489406","layer":3},{"info":"compute unary expreesion, input=-489406, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=1253","layer":4},{"info":"number node, value=5239","layer":4},{"info":"compute binary expreesion, left_input=1253, right_input=5239, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4724430","layer":3},{"info":"compute unary expreesion, input=-4724430, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐(∃⊬CEA↙∃⊬61E)⪘⫢∃⊬CDE⨟⋌⩍∃⊬C00)↙((≦∁(∃⊬CC3↛⩡⫤))⨸⪁(⨰⫟⨤(∃⊬4E5⨽∃⊬1477)))=NaN","reverse_text":"NaN=(⨑⩽⪐(∃⊬CEA↙∃⊬61E)⪘⫢∃⊬CDE⨟⋌⩍∃⊬C00)↙((≦∁(∃⊬CC3↛⩡⫤))⨸⪁(⨰⫟⨤(∃⊬4E5⨽∃⊬1477)))","cot":[{"info":"∃⊬CEA↙∃⊬61E=∃⊬-125A","layer":3},{"info":"∃⊬CDE⨟⋌⩍∃⊬C00=NaN","layer":3},{"info":"∃⊬-125A⪘⫢NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"∃⊬CC3↛⩡⫤=∃⊬-777BE","layer":3},{"info":"≦∁∃⊬-777BE=∃⊬43","layer":2},{"info":"∃⊬4E5⨽∃⊬1477=∃⊬-4816CE","layer":3},{"info":"⨰⫟⨤∃⊬-4816CE=NaN","layer":2},{"info":"∃⊬43⨸⪁NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":320,"expression_no_base_symbol":"(($2073$⫩⊇)∲⫓$1031$↬$1024$)⋓($8208$≧⫂∧$6848$≭$1376$↬$1865$)⩷∴(((≉$4494$)⨽$1427$⪛$3071$)⨽((⇁⨣⪵$2591$)⊠≄⫣))","expression":"((∃⊬819⫩⊇)∲⫓∃⊬407↬∃⊬400)⋓(∃⊬2010≧⫂∧∃⊬1AC0≭∃⊬560↬∃⊬749)⩷∴(((≉∃⊬118E)⨽∃⊬593⪛∃⊬BFF)⨽((⇁⨣⪵∃⊬A1F)⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75759922,"operation_count":14,"complexity_ratio":5411423.0,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2073,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1031,"base":16},"right_expr":{"type":"numeric_atoms","value":1024,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8208,"base":16},"right_expr":{"type":"numeric_atoms","value":6848,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1376,"base":16},"right_expr":{"type":"numeric_atoms","value":1865,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4494,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1427,"base":16},"right_expr":{"type":"numeric_atoms","value":3071,"base":16}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2591,"base":16}}}}},"used_operators":["9FxExcQeMw","T2fj7uvVaJ","i8ToyICDmI","BjRHVeLaeN","B5M0gjZbta","rxpJgHHUmx","Ph9nP6C5qx","8HhzD0ZcuI","e1ybzncUwg","uFcxV4UQCh","DIvbN7qnHd","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2073","layer":4},{"info":"compute unary expreesion, input=2073, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2031","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=1024","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=1024, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2031, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=8208","layer":4},{"info":"number node, value=6848","layer":4},{"info":"compute binary expreesion, left_input=8208, right_input=6848, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6375","layer":3},{"info":"number node, value=1376","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=1376, 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":3},{"info":"compute binary expreesion, left_input=6375, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=4494","layer":4},{"info":"compute unary expreesion, input=4494, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5025","layer":3},{"info":"number node, value=1427","layer":4},{"info":"number node, value=3071","layer":4},{"info":"compute binary expreesion, left_input=1427, right_input=3071, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1427","layer":3},{"info":"compute binary expreesion, left_input=5025, right_input=1427, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-75754842","layer":2},{"info":"number node, value=2591","layer":4},{"info":"compute unary expreesion, input=2591, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-75754842, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"((∃⊬819⫩⊇)∲⫓∃⊬407↬∃⊬400)⋓(∃⊬2010≧⫂∧∃⊬1AC0≭∃⊬560↬∃⊬749)⩷∴(((≉∃⊬118E)⨽∃⊬593⪛∃⊬BFF)⨽((⇁⨣⪵∃⊬A1F)⊠≄⫣))=NaN","reverse_text":"NaN=((∃⊬819⫩⊇)∲⫓∃⊬407↬∃⊬400)⋓(∃⊬2010≧⫂∧∃⊬1AC0≭∃⊬560↬∃⊬749)⩷∴(((≉∃⊬118E)⨽∃⊬593⪛∃⊬BFF)⨽((⇁⨣⪵∃⊬A1F)⊠≄⫣))","cot":[{"info":"∃⊬819⫩⊇=∃⊬-7EF","layer":3},{"info":"∃⊬407↬∃⊬400=NaN","layer":3},{"info":"∃⊬-7EF∲⫓NaN=NaN","layer":2},{"info":"∃⊬2010≧⫂∧∃⊬1AC0=∃⊬18E7","layer":3},{"info":"∃⊬560↬∃⊬749=NaN","layer":3},{"info":"∃⊬18E7≭NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"≉∃⊬118E=∃⊬13A1","layer":3},{"info":"∃⊬593⪛∃⊬BFF=∃⊬593","layer":3},{"info":"∃⊬13A1⨽∃⊬593=∃⊬-483ED5A","layer":2},{"info":"⇁⨣⪵∃⊬A1F=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"∃⊬-483ED5A⨽NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":321,"expression_no_base_symbol":"((($1972$⨁⊸⫻)⫡⨏$1453$∑⇟⊟$1526$)⪄($2656$∀⇚≩$4917$⪨≂$5479$⫸⊐$1543$))⨰(($1277$+$1053$)↬($2251$⇼⇔∾$1715$))⊴((↥$4823$)⨎$2646$⊴$1052$)","expression":"(((∃⊬7B4⨁⊸⫻)⫡⨏∃⊬5AD∑⇟⊟∃⊬5F6)⪄(∃⊬A60∀⇚≩∃⊬1335⪨≂∃⊬1567⫸⊐∃⊬607))⨰((∃⊬4FD+∃⊬41D)↬(∃⊬8CB⇼⇔∾∃⊬6B3))⊴((↥∃⊬12D7)⨎∃⊬A56⊴∃⊬41C)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":20346,"operation_count":15,"complexity_ratio":1356.4,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1972,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1453,"base":16},"right_expr":{"type":"numeric_atoms","value":1526,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2656,"base":16},"right_expr":{"type":"numeric_atoms","value":4917,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5479,"base":16},"right_expr":{"type":"numeric_atoms","value":1543,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1277,"base":16},"right_expr":{"type":"numeric_atoms","value":1053,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2251,"base":16},"right_expr":{"type":"numeric_atoms","value":1715,"base":16}}},"right_expr":{"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":2646,"base":16},"right_expr":{"type":"numeric_atoms","value":1052,"base":16}}}}},"used_operators":["eewbuw0ToL","SUmda5xLS4","QMFrweE19q","glklzrTFfD","U7g4x0WXJJ","sdazOOVcIp","LRNGc0VcxI","mqXw5SEYmG","Nsiff2A1zJ","B5M0gjZbta","W4YGzv6Whe","tifHPKVTfV","rJVOvQCfKK","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1972","layer":4},{"info":"compute unary expreesion, input=1972, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1972","layer":3},{"info":"number node, value=1453","layer":4},{"info":"number node, value=1526","layer":4},{"info":"compute binary expreesion, left_input=1453, right_input=1526, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1972, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=2656","layer":4},{"info":"number node, value=4917","layer":4},{"info":"compute binary expreesion, left_input=2656, right_input=4917, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5479","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=5479, right_input=1543, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6047","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6047, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=1277","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=1053, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2330","layer":3},{"info":"number node, value=2251","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=2251, right_input=1715, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-536","layer":3},{"info":"compute binary expreesion, left_input=2330, right_input=-536, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4823","layer":4},{"info":"compute unary expreesion, input=4823, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"number node, value=2646","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=2646, right_input=1052, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":"(((∃⊬7B4⨁⊸⫻)⫡⨏∃⊬5AD∑⇟⊟∃⊬5F6)⪄(∃⊬A60∀⇚≩∃⊬1335⪨≂∃⊬1567⫸⊐∃⊬607))⨰((∃⊬4FD+∃⊬41D)↬(∃⊬8CB⇼⇔∾∃⊬6B3))⊴((↥∃⊬12D7)⨎∃⊬A56⊴∃⊬41C)=NaN","reverse_text":"NaN=(((∃⊬7B4⨁⊸⫻)⫡⨏∃⊬5AD∑⇟⊟∃⊬5F6)⪄(∃⊬A60∀⇚≩∃⊬1335⪨≂∃⊬1567⫸⊐∃⊬607))⨰((∃⊬4FD+∃⊬41D)↬(∃⊬8CB⇼⇔∾∃⊬6B3))⊴((↥∃⊬12D7)⨎∃⊬A56⊴∃⊬41C)","cot":[{"info":"∃⊬7B4⨁⊸⫻=∃⊬7B4","layer":3},{"info":"∃⊬5AD∑⇟⊟∃⊬5F6=NaN","layer":3},{"info":"∃⊬7B4⫡⨏NaN=NaN","layer":2},{"info":"∃⊬A60∀⇚≩∃⊬1335=NaN","layer":3},{"info":"∃⊬1567⫸⊐∃⊬607=∃⊬179F","layer":3},{"info":"NaN⪨≂∃⊬179F=NaN","layer":2},{"info":"NaN⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬4FD+∃⊬41D=∃⊬91A","layer":3},{"info":"∃⊬8CB⇼⇔∾∃⊬6B3=∃⊬-218","layer":3},{"info":"∃⊬91A↬∃⊬-218=NaN","layer":2},{"info":"↥∃⊬12D7=∃⊬1D","layer":3},{"info":"∃⊬A56⊴∃⊬41C=NaN","layer":3},{"info":"∃⊬1D⨎NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"∃⊬F8B⨰NaN=NaN","layer":0}]}
{"id":322,"expression_no_base_symbol":"($1428$⪢$4170$⇷($1083$⩨$5247$)⊭↱($1899$⇷$3811$⪠⩆⊳))≎⊠⪸((⪲⇎$6365$)+⇶⊼$1034$↬$4740$⪄($7168$⨁⊸⫻)⨓$6672$⊴$5597$)","expression":"(∃⊬594⪢∃⊬104A⇷(∃⊬43B⩨∃⊬147F)⊭↱(∃⊬76B⇷∃⊬EE3⪠⩆⊳))≎⊠⪸((⪲⇎∃⊬18DD)+⇶⊼∃⊬40A↬∃⊬1284⪄(∃⊬1C00⨁⊸⫻)⨓∃⊬1A10⊴∃⊬15DD)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":37077,"operation_count":14,"complexity_ratio":2648.3571428571427,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1428,"base":16},"right_expr":{"type":"numeric_atoms","value":4170,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1083,"base":16},"right_expr":{"type":"numeric_atoms","value":5247,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1899,"base":16},"right_expr":{"type":"numeric_atoms","value":3811,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6365,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1034,"base":16},"right_expr":{"type":"numeric_atoms","value":4740,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":7168,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6672,"base":16},"right_expr":{"type":"numeric_atoms","value":5597,"base":16}}}}},"used_operators":["bJkvcejdHO","COABgblf1C","mp7IySMOzn","dWAJyo7jo9","2DlMacCsIx","JLbD19bQDL","SUmda5xLS4","TpPTUOHfaN","XPYlsWDdGa","B5M0gjZbta","3ViojmjbAp","glklzrTFfD","Nsiff2A1zJ"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬33C6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1428","layer":4},{"info":"number node, value=4170","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4170, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1083","layer":4},{"info":"number node, value=5247","layer":4},{"info":"compute binary expreesion, left_input=1083, right_input=5247, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-24","layer":2},{"info":"number node, value=1899","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=3811, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7622","layer":3},{"info":"compute unary expreesion, input=7622, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-24, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=53","layer":1},{"info":"number node, value=6365","layer":4},{"info":"compute unary expreesion, input=6365, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12730","layer":3},{"info":"number node, value=1034","layer":4},{"info":"number node, value=4740","layer":4},{"info":"compute binary expreesion, left_input=1034, right_input=4740, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12730, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=7168","layer":4},{"info":"compute unary expreesion, input=7168, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=7168","layer":3},{"info":"number node, value=6672","layer":4},{"info":"number node, value=5597","layer":4},{"info":"compute binary expreesion, left_input=6672, right_input=5597, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7168, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=53, right_input=3979, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=13254","layer":0}],"base":16,"result_base":16,"text":"(∃⊬594⪢∃⊬104A⇷(∃⊬43B⩨∃⊬147F)⊭↱(∃⊬76B⇷∃⊬EE3⪠⩆⊳))≎⊠⪸((⪲⇎∃⊬18DD)+⇶⊼∃⊬40A↬∃⊬1284⪄(∃⊬1C00⨁⊸⫻)⨓∃⊬1A10⊴∃⊬15DD)=∃⊬33C6","reverse_text":"∃⊬33C6=(∃⊬594⪢∃⊬104A⇷(∃⊬43B⩨∃⊬147F)⊭↱(∃⊬76B⇷∃⊬EE3⪠⩆⊳))≎⊠⪸((⪲⇎∃⊬18DD)+⇶⊼∃⊬40A↬∃⊬1284⪄(∃⊬1C00⨁⊸⫻)⨓∃⊬1A10⊴∃⊬15DD)","cot":[{"info":"∃⊬594⪢∃⊬104A=NaN","layer":3},{"info":"∃⊬43B⩨∃⊬147F=∃⊬-C","layer":3},{"info":"NaN⇷∃⊬-C=∃⊬-18","layer":2},{"info":"∃⊬76B⇷∃⊬EE3=∃⊬1DC6","layer":3},{"info":"∃⊬1DC6⪠⩆⊳=∃⊬0","layer":2},{"info":"∃⊬-18⊭↱∃⊬0=∃⊬35","layer":1},{"info":"⪲⇎∃⊬18DD=∃⊬31BA","layer":3},{"info":"∃⊬40A↬∃⊬1284=NaN","layer":3},{"info":"∃⊬31BA+⇶⊼NaN=NaN","layer":2},{"info":"∃⊬1C00⨁⊸⫻=∃⊬1C00","layer":3},{"info":"∃⊬1A10⊴∃⊬15DD=NaN","layer":3},{"info":"∃⊬1C00⨓NaN=NaN","layer":2},{"info":"NaN⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬35≎⊠⪸∃⊬F8B=∃⊬33C6","layer":0}]}
{"id":323,"expression_no_base_symbol":"(($6368$⨽$3161$↙($1796$%$4139$))⨽(↩$1934$⩷∴$1603$))⨟⋌⩍(($4876$⨽$3741$)∼($5543$⪨≂$4759$)∑⇟⊟$1694$⪛$1607$⪘⫢(⫛⫱⨽$7396$))","expression":"((∃⊬18E0⨽∃⊬C59↙(∃⊬704%∃⊬102B))⨽(↩∃⊬78E⩷∴∃⊬643))⨟⋌⩍((∃⊬130C⨽∃⊬E9D)∼(∃⊬15A7⪨≂∃⊬1297)∑⇟⊟∃⊬69E⪛∃⊬647⪘⫢(⫛⫱⨽∃⊬1CE4))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":123073925,"operation_count":14,"complexity_ratio":8790994.642857144,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6368,"base":16},"right_expr":{"type":"numeric_atoms","value":3161,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1796,"base":16},"right_expr":{"type":"numeric_atoms","value":4139,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1934,"base":16},"right_expr":{"type":"numeric_atoms","value":1603,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4876,"base":16},"right_expr":{"type":"numeric_atoms","value":3741,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5543,"base":16},"right_expr":{"type":"numeric_atoms","value":4759,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1694,"base":16},"right_expr":{"type":"numeric_atoms","value":1607,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":7396,"base":16}}}}},"used_operators":["rGHVDoGpnC","8HhzD0ZcuI","yyfyN0ffXY","k8jYdgA6NY","jLgFTUHLKL","9FxExcQeMw","U7g4x0WXJJ","DyGG3AbaNP","sdazOOVcIp","oacrs7FA3X","uFcxV4UQCh","DlLNRPXxWL"],"dependent_operators":["Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6368","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=6368, right_input=3161, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-121662441","layer":3},{"info":"number node, value=1796","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=1796, right_input=4139, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1796","layer":3},{"info":"compute binary expreesion, left_input=-121662441, right_input=1796, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-121662441","layer":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=1603, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=630","layer":3},{"info":"compute unary expreesion, input=630, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-2260","layer":2},{"info":"compute binary expreesion, left_input=-121662441, right_input=-2260, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"number node, value=4876","layer":4},{"info":"number node, value=3741","layer":4},{"info":"compute binary expreesion, left_input=4876, right_input=3741, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-71336037","layer":3},{"info":"number node, value=5543","layer":4},{"info":"number node, value=4759","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=4759, 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=1670","layer":3},{"info":"compute binary expreesion, left_input=-71336037, right_input=1670, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1694","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=1694, right_input=1607, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=87","layer":3},{"info":"number node, value=7396","layer":4},{"info":"compute unary expreesion, input=7396, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=87, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, 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":"((∃⊬18E0⨽∃⊬C59↙(∃⊬704%∃⊬102B))⨽(↩∃⊬78E⩷∴∃⊬643))⨟⋌⩍((∃⊬130C⨽∃⊬E9D)∼(∃⊬15A7⪨≂∃⊬1297)∑⇟⊟∃⊬69E⪛∃⊬647⪘⫢(⫛⫱⨽∃⊬1CE4))=NaN","reverse_text":"NaN=((∃⊬18E0⨽∃⊬C59↙(∃⊬704%∃⊬102B))⨽(↩∃⊬78E⩷∴∃⊬643))⨟⋌⩍((∃⊬130C⨽∃⊬E9D)∼(∃⊬15A7⪨≂∃⊬1297)∑⇟⊟∃⊬69E⪛∃⊬647⪘⫢(⫛⫱⨽∃⊬1CE4))","cot":[{"info":"∃⊬18E0⨽∃⊬C59=∃⊬-7406BE9","layer":3},{"info":"∃⊬704%∃⊬102B=∃⊬704","layer":3},{"info":"∃⊬-7406BE9↙∃⊬704=∃⊬-7406BE9","layer":2},{"info":"∃⊬78E⩷∴∃⊬643=∃⊬276","layer":3},{"info":"↩∃⊬276=∃⊬-8D4","layer":2},{"info":"∃⊬-7406BE9⨽∃⊬-8D4=-Inf","layer":1},{"info":"∃⊬130C⨽∃⊬E9D=∃⊬-4408065","layer":3},{"info":"∃⊬15A7⪨≂∃⊬1297=∃⊬686","layer":3},{"info":"∃⊬-4408065∼∃⊬686=NaN","layer":2},{"info":"∃⊬69E⪛∃⊬647=∃⊬57","layer":3},{"info":"⫛⫱⨽∃⊬1CE4=∃⊬0","layer":3},{"info":"∃⊬57⪘⫢∃⊬0=∃⊬0","layer":2},{"info":"NaN∑⇟⊟∃⊬0=NaN","layer":1},{"info":"-Inf⨟⋌⩍NaN=NaN","layer":0}]}
{"id":324,"expression_no_base_symbol":"(⋗⩬⋾$2209$⪮%⊝$3079$⋥≓≎(+⊝⨔$1142$))⫸⊐(-$6631$⋳⪒$1879$)⨽($6998$⋝⋈⪟$4831$⨳⩥⨓$3504$⨓$1179$)","expression":"(⋗⩬⋾∃⊬8A1⪮%⊝∃⊬C07⋥≓≎(+⊝⨔∃⊬476))⫸⊐(-∃⊬19E7⋳⪒∃⊬757)⨽(∃⊬1B56⋝⋈⪟∃⊬12DF⨳⩥⨓∃⊬DB0⨓∃⊬49B)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12382,"operation_count":11,"complexity_ratio":1125.6363636363637,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2209,"base":16},"right_expr":{"type":"numeric_atoms","value":3079,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1142,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6631,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6998,"base":16},"right_expr":{"type":"numeric_atoms","value":4831,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3504,"base":16},"right_expr":{"type":"numeric_atoms","value":1179,"base":16}}}}},"used_operators":["mqXw5SEYmG","DpFCA1CohY","Qy55tPpLXF","IWmyXbctLI","DhbWaqg5eL","8HhzD0ZcuI","t8gj7n24qd","12rbrZMWeM","nCS4ZIUYfx","2DDjHMKMc0","3ViojmjbAp"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-2C074C05","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2209","layer":4},{"info":"number node, value=3079","layer":4},{"info":"compute binary expreesion, left_input=2209, right_input=3079, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4734","layer":3},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=4734, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1657","layer":2},{"info":"compute unary expreesion, input=-1657, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=4971","layer":1},{"info":"number node, value=6631","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=6631, right_input=1879, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11096","layer":3},{"info":"compute unary expreesion, input=11096, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-11096","layer":2},{"info":"number node, value=6998","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=6998, right_input=4831, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6998","layer":3},{"info":"number node, value=3504","layer":4},{"info":"number node, value=1179","layer":4},{"info":"compute binary expreesion, left_input=3504, right_input=1179, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1182","layer":3},{"info":"compute binary expreesion, left_input=6998, right_input=-1182, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8180","layer":2},{"info":"compute binary expreesion, left_input=-11096, right_input=-8180, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-369337794","layer":1},{"info":"compute binary expreesion, left_input=4971, right_input=-369337794, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-738675717","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾∃⊬8A1⪮%⊝∃⊬C07⋥≓≎(+⊝⨔∃⊬476))⫸⊐(-∃⊬19E7⋳⪒∃⊬757)⨽(∃⊬1B56⋝⋈⪟∃⊬12DF⨳⩥⨓∃⊬DB0⨓∃⊬49B)=∃⊬-2C074C05","reverse_text":"∃⊬-2C074C05=(⋗⩬⋾∃⊬8A1⪮%⊝∃⊬C07⋥≓≎(+⊝⨔∃⊬476))⫸⊐(-∃⊬19E7⋳⪒∃⊬757)⨽(∃⊬1B56⋝⋈⪟∃⊬12DF⨳⩥⨓∃⊬DB0⨓∃⊬49B)","cot":[{"info":"∃⊬8A1⪮%⊝∃⊬C07=∃⊬127E","layer":3},{"info":"+⊝⨔∃⊬476=∃⊬5F2","layer":3},{"info":"∃⊬127E⋥≓≎∃⊬5F2=∃⊬-679","layer":2},{"info":"⋗⩬⋾∃⊬-679=∃⊬136B","layer":1},{"info":"∃⊬19E7⋳⪒∃⊬757=∃⊬2B58","layer":3},{"info":"-∃⊬2B58=∃⊬-2B58","layer":2},{"info":"∃⊬1B56⋝⋈⪟∃⊬12DF=∃⊬1B56","layer":3},{"info":"∃⊬DB0⨓∃⊬49B=∃⊬-49E","layer":3},{"info":"∃⊬1B56⨳⩥⨓∃⊬-49E=∃⊬-1FF4","layer":2},{"info":"∃⊬-2B58⨽∃⊬-1FF4=∃⊬-1603A5C2","layer":1},{"info":"∃⊬136B⫸⊐∃⊬-1603A5C2=∃⊬-2C074C05","layer":0}]}
{"id":325,"expression_no_base_symbol":"⇁⨣⪵($7693$⩚⊴⇥$1110$⨸⪁$3826$↬$1559$⩨($3380$⪘⫢$4047$)∀⇚≩($3517$⋓$1198$))","expression":"⇁⨣⪵(∃⊬1E0D⩚⊴⇥∃⊬456⨸⪁∃⊬EF2↬∃⊬617⩨(∃⊬D34⪘⫢∃⊬FCF)∀⇚≩(∃⊬DBD⋓∃⊬4AE))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":46492,"operation_count":8,"complexity_ratio":5811.5,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7693,"base":16},"right_expr":{"type":"numeric_atoms","value":1110,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3826,"base":16},"right_expr":{"type":"numeric_atoms","value":1559,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3380,"base":16},"right_expr":{"type":"numeric_atoms","value":4047,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3517,"base":16},"right_expr":{"type":"numeric_atoms","value":1198,"base":16}}}}},"used_operators":["inkyxCbjAn","2DlMacCsIx","g55IO6H4Gj","NTOWxs364D","B5M0gjZbta","LRNGc0VcxI","oacrs7FA3X","T2fj7uvVaJ"],"dependent_operators":["B5M0gjZbta","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7693","layer":4},{"info":"number node, value=1110","layer":4},{"info":"compute binary expreesion, left_input=7693, right_input=1110, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8924","layer":3},{"info":"number node, value=3826","layer":4},{"info":"number node, value=1559","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=1559, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8924, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=3380","layer":4},{"info":"number node, value=4047","layer":4},{"info":"compute binary expreesion, left_input=3380, right_input=4047, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6636","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=1198, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6636, 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=nan","layer":2},{"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":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":"⇁⨣⪵(∃⊬1E0D⩚⊴⇥∃⊬456⨸⪁∃⊬EF2↬∃⊬617⩨(∃⊬D34⪘⫢∃⊬FCF)∀⇚≩(∃⊬DBD⋓∃⊬4AE))=NaN","reverse_text":"NaN=⇁⨣⪵(∃⊬1E0D⩚⊴⇥∃⊬456⨸⪁∃⊬EF2↬∃⊬617⩨(∃⊬D34⪘⫢∃⊬FCF)∀⇚≩(∃⊬DBD⋓∃⊬4AE))","cot":[{"info":"∃⊬1E0D⩚⊴⇥∃⊬456=∃⊬-22DC","layer":3},{"info":"∃⊬EF2↬∃⊬617=NaN","layer":3},{"info":"∃⊬-22DC⨸⪁NaN=NaN","layer":2},{"info":"∃⊬D34⪘⫢∃⊬FCF=∃⊬19EC","layer":3},{"info":"∃⊬DBD⋓∃⊬4AE=∃⊬0","layer":3},{"info":"∃⊬19EC∀⇚≩∃⊬0=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":326,"expression_no_base_symbol":"(↥((⨞⊢$1035$)↙$3111$∼$4437$))⩠","expression":"(↥((⨞⊢∃⊬40B)↙∃⊬C27∼∃⊬1155))⩠","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":106,"operation_count":5,"complexity_ratio":21.2,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1035,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3111,"base":16},"right_expr":{"type":"numeric_atoms","value":4437,"base":16}}}}},"used_operators":["sJAwomhLZr","A8NUZmVepG","yyfyN0ffXY","xUOZtlo3hN","DyGG3AbaNP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬95","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1035","layer":4},{"info":"compute unary expreesion, input=1035, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1209","layer":3},{"info":"number node, value=3111","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=4437, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1209, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1209","layer":2},{"info":"compute unary expreesion, input=-1209, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=15","layer":1},{"info":"compute unary expreesion, input=15, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=149","layer":0}],"base":16,"result_base":16,"text":"(↥((⨞⊢∃⊬40B)↙∃⊬C27∼∃⊬1155))⩠=∃⊬95","reverse_text":"∃⊬95=(↥((⨞⊢∃⊬40B)↙∃⊬C27∼∃⊬1155))⩠","cot":[{"info":"⨞⊢∃⊬40B=∃⊬-4B9","layer":3},{"info":"∃⊬C27∼∃⊬1155=NaN","layer":3},{"info":"∃⊬-4B9↙NaN=∃⊬-4B9","layer":2},{"info":"↥∃⊬-4B9=∃⊬F","layer":1},{"info":"∃⊬F⩠=∃⊬95","layer":0}]}
{"id":327,"expression_no_base_symbol":"($3098$⩚⊴⇥$2459$↙($6765$⪄$5230$))∼(($3564$⨓$6698$)∀⇚≩(≦∁$1559$))/((($2660$⨸⪁$3089$)≦≮≮)⊦⊿)","expression":"(∃⊬C1A⩚⊴⇥∃⊬99B↙(∃⊬1A6D⪄∃⊬146E))∼((∃⊬DEC⨓∃⊬1A2A)∀⇚≩(≦∁∃⊬617))/(((∃⊬A64⨸⪁∃⊬C11)≦≮≮)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53837,"operation_count":11,"complexity_ratio":4894.272727272727,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3098,"base":16},"right_expr":{"type":"numeric_atoms","value":2459,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6765,"base":16},"right_expr":{"type":"numeric_atoms","value":5230,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3564,"base":16},"right_expr":{"type":"numeric_atoms","value":6698,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1559,"base":16}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2660,"base":16},"right_expr":{"type":"numeric_atoms","value":3089,"base":16}}}}},"used_operators":["XhwjNDsVaA","DyGG3AbaNP","yyfyN0ffXY","NTOWxs364D","SUmda5xLS4","LRNGc0VcxI","3ViojmjbAp","9ICcGScMcE","14qkJME0vr","D4vGDi5EA2","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3098","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=3098, right_input=2459, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5678","layer":3},{"info":"number node, value=6765","layer":4},{"info":"number node, value=5230","layer":4},{"info":"compute binary expreesion, left_input=6765, right_input=5230, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1018229","layer":3},{"info":"compute binary expreesion, left_input=-5678, right_input=-1018229, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5678","layer":2},{"info":"number node, value=3564","layer":4},{"info":"number node, value=6698","layer":4},{"info":"compute binary expreesion, left_input=3564, right_input=6698, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6701","layer":3},{"info":"number node, value=1559","layer":4},{"info":"compute unary expreesion, input=1559, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1559","layer":3},{"info":"compute binary expreesion, left_input=-6701, right_input=1559, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5678, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=2660","layer":4},{"info":"number node, value=3089","layer":4},{"info":"compute binary expreesion, left_input=2660, right_input=3089, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11498","layer":3},{"info":"compute unary expreesion, input=11498, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-34494","layer":2},{"info":"compute unary expreesion, input=-34494, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=103403","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=103403, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C1A⩚⊴⇥∃⊬99B↙(∃⊬1A6D⪄∃⊬146E))∼((∃⊬DEC⨓∃⊬1A2A)∀⇚≩(≦∁∃⊬617))/(((∃⊬A64⨸⪁∃⊬C11)≦≮≮)⊦⊿)=NaN","reverse_text":"NaN=(∃⊬C1A⩚⊴⇥∃⊬99B↙(∃⊬1A6D⪄∃⊬146E))∼((∃⊬DEC⨓∃⊬1A2A)∀⇚≩(≦∁∃⊬617))/(((∃⊬A64⨸⪁∃⊬C11)≦≮≮)⊦⊿)","cot":[{"info":"∃⊬C1A⩚⊴⇥∃⊬99B=∃⊬-162E","layer":3},{"info":"∃⊬1A6D⪄∃⊬146E=∃⊬-F8975","layer":3},{"info":"∃⊬-162E↙∃⊬-F8975=∃⊬-162E","layer":2},{"info":"∃⊬DEC⨓∃⊬1A2A=∃⊬-1A2D","layer":3},{"info":"≦∁∃⊬617=∃⊬617","layer":3},{"info":"∃⊬-1A2D∀⇚≩∃⊬617=NaN","layer":2},{"info":"∃⊬-162E∼NaN=NaN","layer":1},{"info":"∃⊬A64⨸⪁∃⊬C11=∃⊬2CEA","layer":3},{"info":"∃⊬2CEA≦≮≮=∃⊬-86BE","layer":2},{"info":"∃⊬-86BE⊦⊿=∃⊬193EB","layer":1},{"info":"NaN/∃⊬193EB=NaN","layer":0}]}
{"id":328,"expression_no_base_symbol":"((⊥($4466$⇷$6590$))⪠⩆⊳)↙$6046$≹⇙⪍$4382$⨟⋌⩍($5506$⋓$1216$)⨓($2945$⨰$1850$)⇷($4051$⪒$4474$)","expression":"((⊥(∃⊬1172⇷∃⊬19BE))⪠⩆⊳)↙∃⊬179E≹⇙⪍∃⊬111E⨟⋌⩍(∃⊬1582⋓∃⊬4C0)⨓(∃⊬B81⨰∃⊬73A)⇷(∃⊬FD3⪒∃⊬117A)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78047,"operation_count":11,"complexity_ratio":7095.181818181818,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4466,"base":16},"right_expr":{"type":"numeric_atoms","value":6590,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":6046,"base":16},"right_expr":{"type":"numeric_atoms","value":4382,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5506,"base":16},"right_expr":{"type":"numeric_atoms","value":1216,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2945,"base":16},"right_expr":{"type":"numeric_atoms","value":1850,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4051,"base":16},"right_expr":{"type":"numeric_atoms","value":4474,"base":16}}}}},"used_operators":["yyfyN0ffXY","JLbD19bQDL","Q3PJZHRvZv","mp7IySMOzn","3ViojmjbAp","rGHVDoGpnC","AHs5Up7iyr","T2fj7uvVaJ","eewbuw0ToL","f6k1SAg4EE"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","Tcnh7f0tEr","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4466","layer":4},{"info":"number node, value=6590","layer":4},{"info":"compute binary expreesion, left_input=4466, right_input=6590, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=13180","layer":3},{"info":"compute unary expreesion, input=13180, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"number node, value=6046","layer":4},{"info":"number node, value=4382","layer":4},{"info":"compute binary expreesion, left_input=6046, right_input=4382, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5506","layer":4},{"info":"number node, value=1216","layer":4},{"info":"compute binary expreesion, left_input=5506, right_input=1216, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2945","layer":4},{"info":"number node, value=1850","layer":4},{"info":"compute binary expreesion, left_input=2945, right_input=1850, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1105","layer":3},{"info":"number node, value=4051","layer":4},{"info":"number node, value=4474","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=4474, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-8525","layer":3},{"info":"compute binary expreesion, left_input=1105, right_input=-8525, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊥(∃⊬1172⇷∃⊬19BE))⪠⩆⊳)↙∃⊬179E≹⇙⪍∃⊬111E⨟⋌⩍(∃⊬1582⋓∃⊬4C0)⨓(∃⊬B81⨰∃⊬73A)⇷(∃⊬FD3⪒∃⊬117A)=NaN","reverse_text":"NaN=((⊥(∃⊬1172⇷∃⊬19BE))⪠⩆⊳)↙∃⊬179E≹⇙⪍∃⊬111E⨟⋌⩍(∃⊬1582⋓∃⊬4C0)⨓(∃⊬B81⨰∃⊬73A)⇷(∃⊬FD3⪒∃⊬117A)","cot":[{"info":"∃⊬1172⇷∃⊬19BE=∃⊬337C","layer":3},{"info":"⊥∃⊬337C=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"∃⊬179E≹⇙⪍∃⊬111E=NaN","layer":3},{"info":"∃⊬1582⋓∃⊬4C0=∃⊬0","layer":3},{"info":"NaN⨟⋌⩍∃⊬0=NaN","layer":2},{"info":"∃⊬B81⨰∃⊬73A=∃⊬451","layer":3},{"info":"∃⊬FD3⪒∃⊬117A=∃⊬-214D","layer":3},{"info":"∃⊬451⇷∃⊬-214D=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN↙NaN=NaN","layer":0}]}
{"id":329,"expression_no_base_symbol":"(($3125$⫥∨⫟$1083$)⨓($1731$⩚⊴⇥$1009$)⊭∹↮)⋥≓≎($1002$∑⇟⊟$1279$⋝⋈⪟($1063$∲⫓$8979$))≹⇙⪍(($4898$-$1607$)∲⫓($4536$⋷$3044$))","expression":"((∃⊬C35⫥∨⫟∃⊬43B)⨓(∃⊬6C3⩚⊴⇥∃⊬3F1)⊭∹↮)⋥≓≎(∃⊬3EA∑⇟⊟∃⊬4FF⋝⋈⪟(∃⊬427∲⫓∃⊬2313))≹⇙⪍((∃⊬1322-∃⊬647)∲⫓(∃⊬11B8⋷∃⊬BE4))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3040,"operation_count":12,"complexity_ratio":253.33333333333334,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3125,"base":16},"right_expr":{"type":"numeric_atoms","value":1083,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1731,"base":16},"right_expr":{"type":"numeric_atoms","value":1009,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1002,"base":16},"right_expr":{"type":"numeric_atoms","value":1279,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1063,"base":16},"right_expr":{"type":"numeric_atoms","value":8979,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4898,"base":16},"right_expr":{"type":"numeric_atoms","value":1607,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4536,"base":16},"right_expr":{"type":"numeric_atoms","value":3044,"base":16}}}}},"used_operators":["Qy55tPpLXF","xNBdhnnwKq","3ViojmjbAp","KYD54nUTWz","NTOWxs364D","AHs5Up7iyr","2DDjHMKMc0","U7g4x0WXJJ","i8ToyICDmI","rysDP5nf3Z","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3125","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=3125, right_input=1083, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1731","layer":4},{"info":"number node, value=1009","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=1009, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2861, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2864","layer":2},{"info":"compute unary expreesion, input=-2864, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-2864","layer":1},{"info":"number node, value=1002","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=1002, right_input=1279, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=8979","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=8979, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=4898","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=4898, right_input=1607, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3291","layer":3},{"info":"number node, value=4536","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=4536, right_input=3044, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1552","layer":3},{"info":"compute binary expreesion, left_input=3291, right_input=1552, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 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=-2864, 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":"((∃⊬C35⫥∨⫟∃⊬43B)⨓(∃⊬6C3⩚⊴⇥∃⊬3F1)⊭∹↮)⋥≓≎(∃⊬3EA∑⇟⊟∃⊬4FF⋝⋈⪟(∃⊬427∲⫓∃⊬2313))≹⇙⪍((∃⊬1322-∃⊬647)∲⫓(∃⊬11B8⋷∃⊬BE4))=∃⊬43","reverse_text":"∃⊬43=((∃⊬C35⫥∨⫟∃⊬43B)⨓(∃⊬6C3⩚⊴⇥∃⊬3F1)⊭∹↮)⋥≓≎(∃⊬3EA∑⇟⊟∃⊬4FF⋝⋈⪟(∃⊬427∲⫓∃⊬2313))≹⇙⪍((∃⊬1322-∃⊬647)∲⫓(∃⊬11B8⋷∃⊬BE4))","cot":[{"info":"∃⊬C35⫥∨⫟∃⊬43B=NaN","layer":3},{"info":"∃⊬6C3⩚⊴⇥∃⊬3F1=∃⊬-B2D","layer":3},{"info":"NaN⨓∃⊬-B2D=∃⊬-B30","layer":2},{"info":"∃⊬-B30⊭∹↮=∃⊬-B30","layer":1},{"info":"∃⊬3EA∑⇟⊟∃⊬4FF=NaN","layer":3},{"info":"∃⊬427∲⫓∃⊬2313=∃⊬0","layer":3},{"info":"NaN⋝⋈⪟∃⊬0=NaN","layer":2},{"info":"∃⊬1322-∃⊬647=∃⊬CDB","layer":3},{"info":"∃⊬11B8⋷∃⊬BE4=∃⊬610","layer":3},{"info":"∃⊬CDB∲⫓∃⊬610=∃⊬0","layer":2},{"info":"NaN≹⇙⪍∃⊬0=NaN","layer":1},{"info":"∃⊬-B30⋥≓≎NaN=∃⊬43","layer":0}]}
{"id":330,"expression_no_base_symbol":"((⨰⫟⨤($1587$⩚⊴⇥$2915$))⇼⇔∾($6910$⪨≂$2310$)↬($2286$∲⫓$1318$))⪄(⨵≀≌$7022$⋓$1897$)⨳⩥⨓($8211$⨎$3672$)↬(⨑⩽⪐$2334$)","expression":"((⨰⫟⨤(∃⊬633⩚⊴⇥∃⊬B63))⇼⇔∾(∃⊬1AFE⪨≂∃⊬906)↬(∃⊬8EE∲⫓∃⊬526))⪄(⨵≀≌∃⊬1B6E⋓∃⊬769)⨳⩥⨓(∃⊬2013⨎∃⊬E58)↬(⨑⩽⪐∃⊬91E)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":19446,"operation_count":13,"complexity_ratio":1495.8461538461538,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1587,"base":16},"right_expr":{"type":"numeric_atoms","value":2915,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6910,"base":16},"right_expr":{"type":"numeric_atoms","value":2310,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2286,"base":16},"right_expr":{"type":"numeric_atoms","value":1318,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7022,"base":16},"right_expr":{"type":"numeric_atoms","value":1897,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8211,"base":16},"right_expr":{"type":"numeric_atoms","value":3672,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2334,"base":16}}}}},"used_operators":["SUmda5xLS4","tifHPKVTfV","Tw270M8GLb","NTOWxs364D","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","nCS4ZIUYfx","srAu1WTS94","T2fj7uvVaJ","rJVOvQCfKK","AF7qkfDlqP"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1587","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=1587, right_input=2915, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4623","layer":3},{"info":"compute unary expreesion, input=-4623, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=6910","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=6910, right_input=2310, 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=9302","layer":3},{"info":"number node, value=2286","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=2286, right_input=1318, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9302, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=7022","layer":4},{"info":"number node, value=1897","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=1897, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=0","layer":2},{"info":"number node, value=8211","layer":4},{"info":"number node, value=3672","layer":4},{"info":"compute binary expreesion, left_input=8211, right_input=3672, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3672","layer":3},{"info":"number node, value=2334","layer":4},{"info":"compute unary expreesion, input=2334, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2061","layer":3},{"info":"compute binary expreesion, left_input=3672, right_input=-2061, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+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":"((⨰⫟⨤(∃⊬633⩚⊴⇥∃⊬B63))⇼⇔∾(∃⊬1AFE⪨≂∃⊬906)↬(∃⊬8EE∲⫓∃⊬526))⪄(⨵≀≌∃⊬1B6E⋓∃⊬769)⨳⩥⨓(∃⊬2013⨎∃⊬E58)↬(⨑⩽⪐∃⊬91E)=∃⊬F8B","reverse_text":"∃⊬F8B=((⨰⫟⨤(∃⊬633⩚⊴⇥∃⊬B63))⇼⇔∾(∃⊬1AFE⪨≂∃⊬906)↬(∃⊬8EE∲⫓∃⊬526))⪄(⨵≀≌∃⊬1B6E⋓∃⊬769)⨳⩥⨓(∃⊬2013⨎∃⊬E58)↬(⨑⩽⪐∃⊬91E)","cot":[{"info":"∃⊬633⩚⊴⇥∃⊬B63=∃⊬-120F","layer":3},{"info":"⨰⫟⨤∃⊬-120F=NaN","layer":2},{"info":"∃⊬1AFE⪨≂∃⊬906=∃⊬2456","layer":3},{"info":"∃⊬8EE∲⫓∃⊬526=∃⊬0","layer":3},{"info":"∃⊬2456↬∃⊬0=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬1B6E⋓∃⊬769=∃⊬0","layer":3},{"info":"⨵≀≌∃⊬0=∃⊬0","layer":2},{"info":"∃⊬2013⨎∃⊬E58=∃⊬E58","layer":3},{"info":"⨑⩽⪐∃⊬91E=∃⊬-80D","layer":3},{"info":"∃⊬E58↬∃⊬-80D=NaN","layer":2},{"info":"∃⊬0⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
{"id":331,"expression_no_base_symbol":"(⊄⩳↩(($2297$⪒$4183$)⫥∨⫟$1237$⪢$2049$))∀⇚≩(($1057$⨓$4317$)⨟⋌⩍($2344$⨸⪁$1896$)⩷∴((⨞⊢$1225$)↙(⫛⫱⨽$3285$)))","expression":"(⊄⩳↩((∃⊬8F9⪒∃⊬1057)⫥∨⫟∃⊬4D5⪢∃⊬801))∀⇚≩((∃⊬421⨓∃⊬10DD)⨟⋌⩍(∃⊬928⨸⪁∃⊬768)⩷∴((⨞⊢∃⊬4C9)↙(⫛⫱⨽∃⊬CD5)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7968,"operation_count":12,"complexity_ratio":664.0,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2297,"base":16},"right_expr":{"type":"numeric_atoms","value":4183,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1237,"base":16},"right_expr":{"type":"numeric_atoms","value":2049,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1057,"base":16},"right_expr":{"type":"numeric_atoms","value":4317,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2344,"base":16},"right_expr":{"type":"numeric_atoms","value":1896,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1225,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3285,"base":16}}}}},"used_operators":["LRNGc0VcxI","8w2t5hMYqp","KYD54nUTWz","f6k1SAg4EE","dWAJyo7jo9","9FxExcQeMw","rGHVDoGpnC","3ViojmjbAp","g55IO6H4Gj","yyfyN0ffXY","xUOZtlo3hN","DlLNRPXxWL"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2297","layer":4},{"info":"number node, value=4183","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=4183, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6480","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=2049, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6480, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1057","layer":4},{"info":"number node, value=4317","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=4317, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4320","layer":3},{"info":"number node, value=2344","layer":4},{"info":"number node, value=1896","layer":4},{"info":"compute binary expreesion, left_input=2344, right_input=1896, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8480","layer":3},{"info":"compute binary expreesion, left_input=-4320, right_input=8480, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1225","layer":4},{"info":"compute unary expreesion, input=1225, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1399","layer":3},{"info":"number node, value=3285","layer":4},{"info":"compute unary expreesion, input=3285, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1399, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1399","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1399, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⊄⩳↩((∃⊬8F9⪒∃⊬1057)⫥∨⫟∃⊬4D5⪢∃⊬801))∀⇚≩((∃⊬421⨓∃⊬10DD)⨟⋌⩍(∃⊬928⨸⪁∃⊬768)⩷∴((⨞⊢∃⊬4C9)↙(⫛⫱⨽∃⊬CD5)))=NaN","reverse_text":"NaN=(⊄⩳↩((∃⊬8F9⪒∃⊬1057)⫥∨⫟∃⊬4D5⪢∃⊬801))∀⇚≩((∃⊬421⨓∃⊬10DD)⨟⋌⩍(∃⊬928⨸⪁∃⊬768)⩷∴((⨞⊢∃⊬4C9)↙(⫛⫱⨽∃⊬CD5)))","cot":[{"info":"∃⊬8F9⪒∃⊬1057=∃⊬-1950","layer":3},{"info":"∃⊬4D5⪢∃⊬801=NaN","layer":3},{"info":"∃⊬-1950⫥∨⫟NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∃⊬421⨓∃⊬10DD=∃⊬-10E0","layer":3},{"info":"∃⊬928⨸⪁∃⊬768=∃⊬2120","layer":3},{"info":"∃⊬-10E0⨟⋌⩍∃⊬2120=NaN","layer":2},{"info":"⨞⊢∃⊬4C9=∃⊬-577","layer":3},{"info":"⫛⫱⨽∃⊬CD5=∃⊬0","layer":3},{"info":"∃⊬-577↙∃⊬0=∃⊬-577","layer":2},{"info":"NaN⩷∴∃⊬-577=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":332,"expression_no_base_symbol":"(⋗⩬⋾($1241$↬$2718$⩨$2467$⊴$1843$))⨳⩥⨓(≉(($2526$⫡⨏$1455$)*$4801$⪢$1497$))","expression":"(⋗⩬⋾(∃⊬4D9↬∃⊬A9E⩨∃⊬9A3⊴∃⊬733))⨳⩥⨓(≉((∃⊬9DE⫡⨏∃⊬5AF)*∃⊬12C1⪢∃⊬5D9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10963,"operation_count":9,"complexity_ratio":1218.111111111111,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1241,"base":16},"right_expr":{"type":"numeric_atoms","value":2718,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2467,"base":16},"right_expr":{"type":"numeric_atoms","value":1843,"base":16}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2526,"base":16},"right_expr":{"type":"numeric_atoms","value":1455,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4801,"base":16},"right_expr":{"type":"numeric_atoms","value":1497,"base":16}}}}},"used_operators":["nCS4ZIUYfx","DpFCA1CohY","2DlMacCsIx","B5M0gjZbta","Nsiff2A1zJ","e1ybzncUwg","9HNa5Wba9A","QMFrweE19q","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1241","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=1241, right_input=2718, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2467","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=1843, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=2526","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=2526, right_input=1455, 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=16323","layer":3},{"info":"number node, value=4801","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=1497, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=16323, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⋗⩬⋾(∃⊬4D9↬∃⊬A9E⩨∃⊬9A3⊴∃⊬733))⨳⩥⨓(≉((∃⊬9DE⫡⨏∃⊬5AF)*∃⊬12C1⪢∃⊬5D9))=NaN","reverse_text":"NaN=(⋗⩬⋾(∃⊬4D9↬∃⊬A9E⩨∃⊬9A3⊴∃⊬733))⨳⩥⨓(≉((∃⊬9DE⫡⨏∃⊬5AF)*∃⊬12C1⪢∃⊬5D9))","cot":[{"info":"∃⊬4D9↬∃⊬A9E=NaN","layer":3},{"info":"∃⊬9A3⊴∃⊬733=NaN","layer":3},{"info":"NaN⩨NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"∃⊬9DE⫡⨏∃⊬5AF=∃⊬3FC3","layer":3},{"info":"∃⊬12C1⪢∃⊬5D9=NaN","layer":3},{"info":"∃⊬3FC3*NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":333,"expression_no_base_symbol":"((≉$1416$⪄$2683$)⨎(⨵≀≌($1229$/$2586$)))≧⫂∧(((⨞⊢$5100$)-$1419$∼$4169$)-$3146$∼$1255$⨪↰⇹$6946$⪘⫢$1010$)","expression":"((≉∃⊬588⪄∃⊬A7B)⨎(⨵≀≌(∃⊬4CD/∃⊬A1A)))≧⫂∧(((⨞⊢∃⊬13EC)-∃⊬58B∼∃⊬1049)-∃⊬C4A∼∃⊬4E7⨪↰⇹∃⊬1B22⪘⫢∃⊬3F2)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":217,"operation_count":13,"complexity_ratio":16.692307692307693,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1416,"base":16},"right_expr":{"type":"numeric_atoms","value":2683,"base":16}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1229,"base":16},"right_expr":{"type":"numeric_atoms","value":2586,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":5100,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1419,"base":16},"right_expr":{"type":"numeric_atoms","value":4169,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3146,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6946,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}}}},"used_operators":["Ph9nP6C5qx","rJVOvQCfKK","e1ybzncUwg","SUmda5xLS4","srAu1WTS94","XhwjNDsVaA","rysDP5nf3Z","xUOZtlo3hN","DyGG3AbaNP","tmPS8pqC7x","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1416","layer":4},{"info":"number node, value=2683","layer":4},{"info":"compute binary expreesion, left_input=1416, right_input=2683, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-216389","layer":3},{"info":"compute unary expreesion, input=-216389, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-216389","layer":2},{"info":"number node, value=1229","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=2586, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-216389, 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":1},{"info":"number node, value=5100","layer":4},{"info":"compute unary expreesion, input=5100, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5274","layer":3},{"info":"number node, value=1419","layer":4},{"info":"number node, value=4169","layer":4},{"info":"compute binary expreesion, left_input=1419, right_input=4169, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5274, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3146","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=3146, right_input=1255, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=6946","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=6946, right_input=1010, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=13768","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13768, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":"((≉∃⊬588⪄∃⊬A7B)⨎(⨵≀≌(∃⊬4CD/∃⊬A1A)))≧⫂∧(((⨞⊢∃⊬13EC)-∃⊬58B∼∃⊬1049)-∃⊬C4A∼∃⊬4E7⨪↰⇹∃⊬1B22⪘⫢∃⊬3F2)=NaN","reverse_text":"NaN=((≉∃⊬588⪄∃⊬A7B)⨎(⨵≀≌(∃⊬4CD/∃⊬A1A)))≧⫂∧(((⨞⊢∃⊬13EC)-∃⊬58B∼∃⊬1049)-∃⊬C4A∼∃⊬4E7⨪↰⇹∃⊬1B22⪘⫢∃⊬3F2)","cot":[{"info":"∃⊬588⪄∃⊬A7B=∃⊬-34D45","layer":3},{"info":"≉∃⊬-34D45=∃⊬-34D45","layer":2},{"info":"∃⊬4CD/∃⊬A1A=∃⊬0","layer":3},{"info":"⨵≀≌∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-34D45⨎∃⊬0=∃⊬0","layer":1},{"info":"⨞⊢∃⊬13EC=∃⊬-149A","layer":3},{"info":"∃⊬58B∼∃⊬1049=NaN","layer":3},{"info":"∃⊬-149A-NaN=NaN","layer":2},{"info":"∃⊬C4A∼∃⊬4E7=NaN","layer":3},{"info":"∃⊬1B22⪘⫢∃⊬3F2=∃⊬35C8","layer":3},{"info":"NaN⨪↰⇹∃⊬35C8=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"∃⊬0≧⫂∧NaN=NaN","layer":0}]}
{"id":334,"expression_no_base_symbol":"(+⊝⨔(↣≠⋷$2956$))⨟⋌⩍($1731$⇷$5604$⨵⪆$2649$↺$2325$)⋥≓≎(($3939$⪮%⊝$1310$∸)⫌⩹⨱)","expression":"(+⊝⨔(↣≠⋷∃⊬B8C))⨟⋌⩍(∃⊬6C3⇷∃⊬15E4⨵⪆∃⊬A59↺∃⊬915)⋥≓≎((∃⊬F63⪮%⊝∃⊬51E∸)⫌⩹⨱)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25613,"operation_count":10,"complexity_ratio":2561.3,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2956,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1731,"base":16},"right_expr":{"type":"numeric_atoms","value":5604,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2649,"base":16},"right_expr":{"type":"numeric_atoms","value":2325,"base":16}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3939,"base":16},"right_expr":{"type":"numeric_atoms","value":1310,"base":16}}}}},"used_operators":["Qy55tPpLXF","rGHVDoGpnC","DhbWaqg5eL","Asc51vEJeQ","2DQ55sFlQl","mp7IySMOzn","7j4O788W3g","EBcxylXtPf","o20kRiQErp","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬DD7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2956","layer":4},{"info":"compute unary expreesion, input=2956, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1731","layer":4},{"info":"number node, value=5604","layer":4},{"info":"compute binary expreesion, left_input=1731, right_input=5604, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11208","layer":3},{"info":"number node, value=2649","layer":4},{"info":"number node, value=2325","layer":4},{"info":"compute binary expreesion, left_input=2649, right_input=2325, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2325","layer":3},{"info":"compute binary expreesion, left_input=11208, right_input=2325, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=160, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"number node, value=3939","layer":4},{"info":"number node, value=1310","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=1310, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8194","layer":3},{"info":"compute unary expreesion, input=8194, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1755","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=1755, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3543","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔(↣≠⋷∃⊬B8C))⨟⋌⩍(∃⊬6C3⇷∃⊬15E4⨵⪆∃⊬A59↺∃⊬915)⋥≓≎((∃⊬F63⪮%⊝∃⊬51E∸)⫌⩹⨱)=∃⊬DD7","reverse_text":"∃⊬DD7=(+⊝⨔(↣≠⋷∃⊬B8C))⨟⋌⩍(∃⊬6C3⇷∃⊬15E4⨵⪆∃⊬A59↺∃⊬915)⋥≓≎((∃⊬F63⪮%⊝∃⊬51E∸)⫌⩹⨱)","cot":[{"info":"↣≠⋷∃⊬B8C=NaN","layer":3},{"info":"+⊝⨔NaN=∃⊬5F2","layer":2},{"info":"∃⊬6C3⇷∃⊬15E4=∃⊬2BC8","layer":3},{"info":"∃⊬A59↺∃⊬915=∃⊬915","layer":3},{"info":"∃⊬2BC8⨵⪆∃⊬915=∃⊬A0","layer":2},{"info":"∃⊬5F2⨟⋌⩍∃⊬A0=∃⊬0","layer":1},{"info":"∃⊬F63⪮%⊝∃⊬51E=∃⊬2002","layer":3},{"info":"∃⊬2002∸=∃⊬B1","layer":2},{"info":"∃⊬B1⫌⩹⨱=∃⊬6DB","layer":1},{"info":"∃⊬0⋥≓≎∃⊬6DB=∃⊬DD7","layer":0}]}
{"id":335,"expression_no_base_symbol":"($4287$⨐⩸⫘$3790$⨸⪁$3271$≧⫂∧$6928$)≹⇙⪍($1038$⨳⩥⨓$6174$⫡⨏(⫛⫱⨽$2076$))⨳⩥⨓(($8695$⪄$1714$)⪢($1435$%$2730$)⪨≂($8252$≋⫹)⊴(⪲⇎$8341$))","expression":"(∃⊬10BF⨐⩸⫘∃⊬ECE⨸⪁∃⊬CC7≧⫂∧∃⊬1B10)≹⇙⪍(∃⊬40E⨳⩥⨓∃⊬181E⫡⨏(⫛⫱⨽∃⊬81C))⨳⩥⨓((∃⊬21F7⪄∃⊬6B2)⪢(∃⊬59B%∃⊬AAA)⪨≂(∃⊬203C≋⫹)⊴(⪲⇎∃⊬2095))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":62402,"operation_count":15,"complexity_ratio":4160.133333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4287,"base":16},"right_expr":{"type":"numeric_atoms","value":3790,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3271,"base":16},"right_expr":{"type":"numeric_atoms","value":6928,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1038,"base":16},"right_expr":{"type":"numeric_atoms","value":6174,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2076,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":8695,"base":16},"right_expr":{"type":"numeric_atoms","value":1714,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1435,"base":16},"right_expr":{"type":"numeric_atoms","value":2730,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8252,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":8341,"base":16}}}}},"used_operators":["nCS4ZIUYfx","AHs5Up7iyr","g55IO6H4Gj","fu6greOZ01","Ph9nP6C5qx","QMFrweE19q","DlLNRPXxWL","sdazOOVcIp","dWAJyo7jo9","SUmda5xLS4","k8jYdgA6NY","Nsiff2A1zJ","N41Kp7NANJ","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","W4YGzv6Whe","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4287","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=3790, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=6928","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=6928, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6455","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6455, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1038","layer":4},{"info":"number node, value=6174","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=6174, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5136","layer":3},{"info":"number node, value=2076","layer":4},{"info":"compute unary expreesion, input=2076, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5136, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=26463","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26463, 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=8695","layer":4},{"info":"number node, value=1714","layer":4},{"info":"compute binary expreesion, left_input=8695, right_input=1714, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1289805","layer":3},{"info":"number node, value=1435","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=2730, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1435","layer":3},{"info":"compute binary expreesion, left_input=-1289805, right_input=1435, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8252","layer":4},{"info":"compute unary expreesion, input=8252, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16504","layer":3},{"info":"number node, value=8341","layer":4},{"info":"compute unary expreesion, input=8341, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=16682","layer":3},{"info":"compute binary expreesion, left_input=-16504, right_input=16682, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"(∃⊬10BF⨐⩸⫘∃⊬ECE⨸⪁∃⊬CC7≧⫂∧∃⊬1B10)≹⇙⪍(∃⊬40E⨳⩥⨓∃⊬181E⫡⨏(⫛⫱⨽∃⊬81C))⨳⩥⨓((∃⊬21F7⪄∃⊬6B2)⪢(∃⊬59B%∃⊬AAA)⪨≂(∃⊬203C≋⫹)⊴(⪲⇎∃⊬2095))=NaN","reverse_text":"NaN=(∃⊬10BF⨐⩸⫘∃⊬ECE⨸⪁∃⊬CC7≧⫂∧∃⊬1B10)≹⇙⪍(∃⊬40E⨳⩥⨓∃⊬181E⫡⨏(⫛⫱⨽∃⊬81C))⨳⩥⨓((∃⊬21F7⪄∃⊬6B2)⪢(∃⊬59B%∃⊬AAA)⪨≂(∃⊬203C≋⫹)⊴(⪲⇎∃⊬2095))","cot":[{"info":"∃⊬10BF⨐⩸⫘∃⊬ECE=NaN","layer":3},{"info":"∃⊬CC7≧⫂∧∃⊬1B10=∃⊬1937","layer":3},{"info":"NaN⨸⪁∃⊬1937=NaN","layer":2},{"info":"∃⊬40E⨳⩥⨓∃⊬181E=∃⊬1410","layer":3},{"info":"⫛⫱⨽∃⊬81C=∃⊬0","layer":3},{"info":"∃⊬1410⫡⨏∃⊬0=∃⊬675F","layer":2},{"info":"NaN≹⇙⪍∃⊬675F=NaN","layer":1},{"info":"∃⊬21F7⪄∃⊬6B2=∃⊬-13AE4D","layer":3},{"info":"∃⊬59B%∃⊬AAA=∃⊬59B","layer":3},{"info":"∃⊬-13AE4D⪢∃⊬59B=NaN","layer":2},{"info":"∃⊬203C≋⫹=∃⊬-4078","layer":3},{"info":"⪲⇎∃⊬2095=∃⊬412A","layer":3},{"info":"∃⊬-4078⊴∃⊬412A=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":336,"expression_no_base_symbol":"((≉($1134$%$3881$))⋷($2693$⪘⫢$8124$⋷($1139$⩤)))⋓($4755$⊴$4553$⫸⊐(⊄⩳↩$5273$))⪢(($4038$↪⪝)⩨$5663$+⇶⊼$6757$)","expression":"((≉(∃⊬46E%∃⊬F29))⋷(∃⊬A85⪘⫢∃⊬1FBC⋷(∃⊬473⩤)))⋓(∃⊬1293⊴∃⊬11C9⫸⊐(⊄⩳↩∃⊬1499))⪢((∃⊬FC6↪⪝)⩨∃⊬161F+⇶⊼∃⊬1A65)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5989,"operation_count":14,"complexity_ratio":427.7857142857143,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1134,"base":16},"right_expr":{"type":"numeric_atoms","value":3881,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2693,"base":16},"right_expr":{"type":"numeric_atoms","value":8124,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1139,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4755,"base":16},"right_expr":{"type":"numeric_atoms","value":4553,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5273,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4038,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5663,"base":16},"right_expr":{"type":"numeric_atoms","value":6757,"base":16}}}}},"used_operators":["T2fj7uvVaJ","23Mk6UjR3U","e1ybzncUwg","k8jYdgA6NY","oacrs7FA3X","Z2TMIBDE3Q","dWAJyo7jo9","mqXw5SEYmG","Nsiff2A1zJ","8w2t5hMYqp","2DlMacCsIx","l07mrZUIn9","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1134","layer":4},{"info":"number node, value=3881","layer":4},{"info":"compute binary expreesion, left_input=1134, right_input=3881, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1134","layer":3},{"info":"compute unary expreesion, input=1134, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1665","layer":2},{"info":"number node, value=2693","layer":4},{"info":"number node, value=8124","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=8124, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=5262","layer":3},{"info":"number node, value=1139","layer":4},{"info":"compute unary expreesion, input=1139, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1139","layer":3},{"info":"compute binary expreesion, left_input=5262, right_input=-1139, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-7540","layer":2},{"info":"compute binary expreesion, left_input=1665, right_input=-7540, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-16745","layer":1},{"info":"number node, value=4755","layer":4},{"info":"number node, value=4553","layer":4},{"info":"compute binary expreesion, left_input=4755, right_input=4553, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5273","layer":4},{"info":"compute unary expreesion, input=5273, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15819","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15819, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=4038","layer":4},{"info":"compute unary expreesion, input=4038, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=247052916","layer":3},{"info":"number node, value=5663","layer":4},{"info":"number node, value=6757","layer":4},{"info":"compute binary expreesion, left_input=5663, right_input=6757, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=247052916, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16745, 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":"((≉(∃⊬46E%∃⊬F29))⋷(∃⊬A85⪘⫢∃⊬1FBC⋷(∃⊬473⩤)))⋓(∃⊬1293⊴∃⊬11C9⫸⊐(⊄⩳↩∃⊬1499))⪢((∃⊬FC6↪⪝)⩨∃⊬161F+⇶⊼∃⊬1A65)=NaN","reverse_text":"NaN=((≉(∃⊬46E%∃⊬F29))⋷(∃⊬A85⪘⫢∃⊬1FBC⋷(∃⊬473⩤)))⋓(∃⊬1293⊴∃⊬11C9⫸⊐(⊄⩳↩∃⊬1499))⪢((∃⊬FC6↪⪝)⩨∃⊬161F+⇶⊼∃⊬1A65)","cot":[{"info":"∃⊬46E%∃⊬F29=∃⊬46E","layer":3},{"info":"≉∃⊬46E=∃⊬681","layer":2},{"info":"∃⊬A85⪘⫢∃⊬1FBC=∃⊬148E","layer":3},{"info":"∃⊬473⩤=∃⊬-473","layer":3},{"info":"∃⊬148E⋷∃⊬-473=∃⊬-1D74","layer":2},{"info":"∃⊬681⋷∃⊬-1D74=∃⊬-4169","layer":1},{"info":"∃⊬1293⊴∃⊬11C9=NaN","layer":3},{"info":"⊄⩳↩∃⊬1499=∃⊬-3DCB","layer":3},{"info":"NaN⫸⊐∃⊬-3DCB=NaN","layer":2},{"info":"∃⊬FC6↪⪝=∃⊬EB9BA74","layer":3},{"info":"∃⊬161F+⇶⊼∃⊬1A65=NaN","layer":3},{"info":"∃⊬EB9BA74⩨NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"∃⊬-4169⋓NaN=NaN","layer":0}]}
{"id":337,"expression_no_base_symbol":"(($1989$↙$2773$⫸⊐($3707$⫡⨏$5655$))≣⋋)⊠≄⫣","expression":"((∃⊬7C5↙∃⊬AD5⫸⊐(∃⊬E7B⫡⨏∃⊬1617))≣⋋)⊠≄⫣","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":3304,"operation_count":5,"complexity_ratio":660.8,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1989,"base":16},"right_expr":{"type":"numeric_atoms","value":2773,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3707,"base":16},"right_expr":{"type":"numeric_atoms","value":5655,"base":16}}}}},"used_operators":["DIvbN7qnHd","Tcnh7f0tEr","mqXw5SEYmG","yyfyN0ffXY","QMFrweE19q"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1989","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=2773, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8319","layer":3},{"info":"number node, value=3707","layer":4},{"info":"number node, value=5655","layer":4},{"info":"compute binary expreesion, left_input=3707, right_input=5655, 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=30628","layer":3},{"info":"compute binary expreesion, left_input=-8319, right_input=30628, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute unary expreesion, input=968, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"((∃⊬7C5↙∃⊬AD5⫸⊐(∃⊬E7B⫡⨏∃⊬1617))≣⋋)⊠≄⫣=∃⊬0","reverse_text":"∃⊬0=((∃⊬7C5↙∃⊬AD5⫸⊐(∃⊬E7B⫡⨏∃⊬1617))≣⋋)⊠≄⫣","cot":[{"info":"∃⊬7C5↙∃⊬AD5=∃⊬-207F","layer":3},{"info":"∃⊬E7B⫡⨏∃⊬1617=∃⊬77A4","layer":3},{"info":"∃⊬-207F⫸⊐∃⊬77A4=∃⊬3C8","layer":2},{"info":"∃⊬3C8≣⋋=∃⊬0","layer":1},{"info":"∃⊬0⊠≄⫣=∃⊬0","layer":0}]}
{"id":338,"expression_no_base_symbol":"(⫓⪴($1272$⩨$1262$))⫡⨏(⊙↵-(∥⊫$2673$))⪨≂(($2065$⩷∴$1101$≭$2346$∀⇚≩$1993$)≦≮≮)","expression":"(⫓⪴(∃⊬4F8⩨∃⊬4EE))⫡⨏(⊙↵-(∥⊫∃⊬A71))⪨≂((∃⊬811⩷∴∃⊬44D≭∃⊬92A∀⇚≩∃⊬7C9)≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20040,"operation_count":10,"complexity_ratio":2004.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1272,"base":16},"right_expr":{"type":"numeric_atoms","value":1262,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2673,"base":16}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2065,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2346,"base":16},"right_expr":{"type":"numeric_atoms","value":1993,"base":16}}}}},"used_operators":["sdazOOVcIp","QMFrweE19q","eLxqMNBOBk","2DlMacCsIx","oWn0xqSxBt","P8v4zCKN1o","D4vGDi5EA2","rxpJgHHUmx","9FxExcQeMw","LRNGc0VcxI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"number node, value=1262","layer":4},{"info":"compute binary expreesion, left_input=1272, right_input=1262, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"number node, value=2673","layer":4},{"info":"compute unary expreesion, input=2673, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3541","layer":3},{"info":"compute unary expreesion, input=3541, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-1, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=781","layer":1},{"info":"number node, value=2065","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=2065, right_input=1101, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1896","layer":3},{"info":"number node, value=2346","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=2346, right_input=1993, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1896, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=781, 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":"(⫓⪴(∃⊬4F8⩨∃⊬4EE))⫡⨏(⊙↵-(∥⊫∃⊬A71))⪨≂((∃⊬811⩷∴∃⊬44D≭∃⊬92A∀⇚≩∃⊬7C9)≦≮≮)=NaN","reverse_text":"NaN=(⫓⪴(∃⊬4F8⩨∃⊬4EE))⫡⨏(⊙↵-(∥⊫∃⊬A71))⪨≂((∃⊬811⩷∴∃⊬44D≭∃⊬92A∀⇚≩∃⊬7C9)≦≮≮)","cot":[{"info":"∃⊬4F8⩨∃⊬4EE=∃⊬0","layer":3},{"info":"⫓⪴∃⊬0=∃⊬0","layer":2},{"info":"∥⊫∃⊬A71=∃⊬DD5","layer":3},{"info":"⊙↵-∃⊬DD5=∃⊬-1","layer":2},{"info":"∃⊬0⫡⨏∃⊬-1=∃⊬30D","layer":1},{"info":"∃⊬811⩷∴∃⊬44D=∃⊬768","layer":3},{"info":"∃⊬92A∀⇚≩∃⊬7C9=NaN","layer":3},{"info":"∃⊬768≭NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"∃⊬30D⪨≂NaN=NaN","layer":0}]}
{"id":339,"expression_no_base_symbol":"(⇁⨣⪵(($2475$↪⪝)⊭↱($3121$⩠)))∑⇟⊟((($1154$⨁⊸⫻)⊪)∑⇟⊟((⪝⪂⫅$4437$)⊭↱(⩦⩻⨪$6005$)))","expression":"(⇁⨣⪵((∃⊬9AB↪⪝)⊭↱(∃⊬C31⩠)))∑⇟⊟(((∃⊬482⨁⊸⫻)⊪)∑⇟⊟((⪝⪂⫅∃⊬1155)⊭↱(⩦⩻⨪∃⊬1775)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":920,"operation_count":11,"complexity_ratio":83.63636363636364,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2475,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3121,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1154,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4437,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":6005,"base":16}}}}},"used_operators":["U7g4x0WXJJ","inkyxCbjAn","COABgblf1C","l07mrZUIn9","sJAwomhLZr","zVYPLywUTj","glklzrTFfD","XTarYq4gQB","2td37pGCOC"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2475","layer":4},{"info":"compute unary expreesion, input=2475, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=151425450","layer":3},{"info":"number node, value=3121","layer":4},{"info":"compute unary expreesion, input=3121, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=151425450, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-302850895","layer":2},{"info":"compute unary expreesion, input=-302850895, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1154","layer":4},{"info":"compute unary expreesion, input=1154, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1154","layer":3},{"info":"compute unary expreesion, input=1154, 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":2},{"info":"number node, value=4437","layer":4},{"info":"compute unary expreesion, input=4437, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-652239","layer":3},{"info":"number node, value=6005","layer":4},{"info":"compute unary expreesion, input=6005, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=6005","layer":3},{"info":"compute binary expreesion, left_input=-652239, right_input=6005, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1316493","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1316493, 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 = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵((∃⊬9AB↪⪝)⊭↱(∃⊬C31⩠)))∑⇟⊟(((∃⊬482⨁⊸⫻)⊪)∑⇟⊟((⪝⪂⫅∃⊬1155)⊭↱(⩦⩻⨪∃⊬1775)))=NaN","reverse_text":"NaN=(⇁⨣⪵((∃⊬9AB↪⪝)⊭↱(∃⊬C31⩠)))∑⇟⊟(((∃⊬482⨁⊸⫻)⊪)∑⇟⊟((⪝⪂⫅∃⊬1155)⊭↱(⩦⩻⨪∃⊬1775)))","cot":[{"info":"∃⊬9AB↪⪝=∃⊬90691AA","layer":3},{"info":"∃⊬C31⩠=∃⊬0","layer":3},{"info":"∃⊬90691AA⊭↱∃⊬0=∃⊬-120D234F","layer":2},{"info":"⇁⨣⪵∃⊬-120D234F=NaN","layer":1},{"info":"∃⊬482⨁⊸⫻=∃⊬482","layer":3},{"info":"∃⊬482⊪=∃⊬0","layer":2},{"info":"⪝⪂⫅∃⊬1155=∃⊬-9F3CF","layer":3},{"info":"⩦⩻⨪∃⊬1775=∃⊬1775","layer":3},{"info":"∃⊬-9F3CF⊭↱∃⊬1775=∃⊬14168D","layer":2},{"info":"∃⊬0∑⇟⊟∃⊬14168D=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":340,"expression_no_base_symbol":"-($2195$∀⇚≩$3217$⨐⩸⫘$5619$⇷$2036$)⩚⊴⇥(↔$5384$)⪢(⊄⩳↩$1202$)","expression":"-(∃⊬893∀⇚≩∃⊬C91⨐⩸⫘∃⊬15F3⇷∃⊬7F4)⩚⊴⇥(↔∃⊬1508)⪢(⊄⩳↩∃⊬4B2)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":108501,"operation_count":8,"complexity_ratio":13562.625,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2195,"base":16},"right_expr":{"type":"numeric_atoms","value":3217,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5619,"base":16},"right_expr":{"type":"numeric_atoms","value":2036,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5384,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1202,"base":16}}}}},"used_operators":["t8gj7n24qd","NTOWxs364D","fu6greOZ01","LRNGc0VcxI","mp7IySMOzn","dWAJyo7jo9","ruOEQAzv1W","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2195","layer":4},{"info":"number node, value=3217","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=3217, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5619","layer":4},{"info":"number node, value=2036","layer":4},{"info":"compute binary expreesion, left_input=5619, right_input=2036, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4072","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4072, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5384","layer":4},{"info":"compute unary expreesion, input=5384, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5111","layer":3},{"info":"number node, value=1202","layer":4},{"info":"compute unary expreesion, input=1202, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3606","layer":3},{"info":"compute binary expreesion, left_input=-5111, right_input=-3606, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', 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":"-(∃⊬893∀⇚≩∃⊬C91⨐⩸⫘∃⊬15F3⇷∃⊬7F4)⩚⊴⇥(↔∃⊬1508)⪢(⊄⩳↩∃⊬4B2)=NaN","reverse_text":"NaN=-(∃⊬893∀⇚≩∃⊬C91⨐⩸⫘∃⊬15F3⇷∃⊬7F4)⩚⊴⇥(↔∃⊬1508)⪢(⊄⩳↩∃⊬4B2)","cot":[{"info":"∃⊬893∀⇚≩∃⊬C91=NaN","layer":3},{"info":"∃⊬15F3⇷∃⊬7F4=∃⊬FE8","layer":3},{"info":"NaN⨐⩸⫘∃⊬FE8=NaN","layer":2},{"info":"↔∃⊬1508=∃⊬-13F7","layer":3},{"info":"⊄⩳↩∃⊬4B2=∃⊬-E16","layer":3},{"info":"∃⊬-13F7⪢∃⊬-E16=NaN","layer":2},{"info":"NaN⩚⊴⇥NaN=NaN","layer":1},{"info":"-NaN=NaN","layer":0}]}
{"id":341,"expression_no_base_symbol":"(($3946$⋳⪒$1074$)≭($2641$+⇶⊼$8342$)/($2451$⫸⊐$7600$)⪄$3204$⪛$1049$)⩠","expression":"((∃⊬F6A⋳⪒∃⊬432)≭(∃⊬A51+⇶⊼∃⊬2096)/(∃⊬993⫸⊐∃⊬1DB0)⪄∃⊬C84⪛∃⊬419)⩠","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":153,"operation_count":8,"complexity_ratio":19.125,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3946,"base":16},"right_expr":{"type":"numeric_atoms","value":1074,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2641,"base":16},"right_expr":{"type":"numeric_atoms","value":8342,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2451,"base":16},"right_expr":{"type":"numeric_atoms","value":7600,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3204,"base":16},"right_expr":{"type":"numeric_atoms","value":1049,"base":16}}}}},"used_operators":["sJAwomhLZr","XhwjNDsVaA","rxpJgHHUmx","12rbrZMWeM","TpPTUOHfaN","SUmda5xLS4","mqXw5SEYmG","uFcxV4UQCh"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3946","layer":4},{"info":"number node, value=1074","layer":4},{"info":"compute binary expreesion, left_input=3946, right_input=1074, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6531","layer":3},{"info":"number node, value=2641","layer":4},{"info":"number node, value=8342","layer":4},{"info":"compute binary expreesion, left_input=2641, right_input=8342, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6531, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2451","layer":4},{"info":"number node, value=7600","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=7600, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30275","layer":3},{"info":"number node, value=3204","layer":4},{"info":"number node, value=1049","layer":4},{"info":"compute binary expreesion, left_input=3204, right_input=1049, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=57","layer":3},{"info":"compute binary expreesion, left_input=30275, right_input=57, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-4477017","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4477017, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"((∃⊬F6A⋳⪒∃⊬432)≭(∃⊬A51+⇶⊼∃⊬2096)/(∃⊬993⫸⊐∃⊬1DB0)⪄∃⊬C84⪛∃⊬419)⩠=NaN","reverse_text":"NaN=((∃⊬F6A⋳⪒∃⊬432)≭(∃⊬A51+⇶⊼∃⊬2096)/(∃⊬993⫸⊐∃⊬1DB0)⪄∃⊬C84⪛∃⊬419)⩠","cot":[{"info":"∃⊬F6A⋳⪒∃⊬432=∃⊬1983","layer":3},{"info":"∃⊬A51+⇶⊼∃⊬2096=NaN","layer":3},{"info":"∃⊬1983≭NaN=NaN","layer":2},{"info":"∃⊬993⫸⊐∃⊬1DB0=∃⊬7643","layer":3},{"info":"∃⊬C84⪛∃⊬419=∃⊬39","layer":3},{"info":"∃⊬7643⪄∃⊬39=∃⊬-445059","layer":2},{"info":"NaN/∃⊬-445059=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":342,"expression_no_base_symbol":"(⋗⩬⋾($3524$∀⇚≩$1001$⇼⇔∾(≉$3757$)))≭(-(⪝⪂⫅($3939$⋳⪒$4940$)))","expression":"(⋗⩬⋾(∃⊬DC4∀⇚≩∃⊬3E9⇼⇔∾(≉∃⊬EAD)))≭(-(⪝⪂⫅(∃⊬F63⋳⪒∃⊬134C)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":24834,"operation_count":8,"complexity_ratio":3104.25,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3524,"base":16},"right_expr":{"type":"numeric_atoms","value":1001,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3757,"base":16}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3939,"base":16},"right_expr":{"type":"numeric_atoms","value":4940,"base":16}}}}},"used_operators":["rxpJgHHUmx","DpFCA1CohY","tifHPKVTfV","LRNGc0VcxI","e1ybzncUwg","t8gj7n24qd","XTarYq4gQB","12rbrZMWeM"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3524","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=3524, right_input=1001, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3757","layer":4},{"info":"compute unary expreesion, input=3757, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4288","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4288, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3939","layer":4},{"info":"number node, value=4940","layer":4},{"info":"compute binary expreesion, left_input=3939, right_input=4940, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2651","layer":3},{"info":"compute unary expreesion, input=2651, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-389697","layer":2},{"info":"compute unary expreesion, input=-389697, op_id = t8gj7n24qd, unary_op_definition = 'None', output=389697","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=389697, 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":"(⋗⩬⋾(∃⊬DC4∀⇚≩∃⊬3E9⇼⇔∾(≉∃⊬EAD)))≭(-(⪝⪂⫅(∃⊬F63⋳⪒∃⊬134C)))=NaN","reverse_text":"NaN=(⋗⩬⋾(∃⊬DC4∀⇚≩∃⊬3E9⇼⇔∾(≉∃⊬EAD)))≭(-(⪝⪂⫅(∃⊬F63⋳⪒∃⊬134C)))","cot":[{"info":"∃⊬DC4∀⇚≩∃⊬3E9=NaN","layer":3},{"info":"≉∃⊬EAD=∃⊬10C0","layer":3},{"info":"NaN⇼⇔∾∃⊬10C0=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"∃⊬F63⋳⪒∃⊬134C=∃⊬A5B","layer":3},{"info":"⪝⪂⫅∃⊬A5B=∃⊬-5F241","layer":2},{"info":"-∃⊬-5F241=∃⊬5F241","layer":1},{"info":"NaN≭∃⊬5F241=NaN","layer":0}]}
{"id":343,"expression_no_base_symbol":"⪲⇎((⊙↵-$3026$⨟⋌⩍$1412$)⊉≛↸$1657$⪘⫢$2905$⨓($1489$⩷∴$3145$))","expression":"⪲⇎((⊙↵-∃⊬BD2⨟⋌⩍∃⊬584)⊉≛↸∃⊬679⪘⫢∃⊬B59⨓(∃⊬5D1⩷∴∃⊬C49))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3403,"operation_count":7,"complexity_ratio":486.14285714285717,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3026,"base":16},"right_expr":{"type":"numeric_atoms","value":1412,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1657,"base":16},"right_expr":{"type":"numeric_atoms","value":2905,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1489,"base":16},"right_expr":{"type":"numeric_atoms","value":3145,"base":16}}}}},"used_operators":["XPYlsWDdGa","DZ8iAZOCBD","oWn0xqSxBt","rGHVDoGpnC","3ViojmjbAp","oacrs7FA3X","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3026","layer":4},{"info":"number node, value=1412","layer":4},{"info":"compute binary expreesion, left_input=3026, right_input=1412, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=1657","layer":4},{"info":"number node, value=2905","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=2905, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3190","layer":3},{"info":"number node, value=1489","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=1489, right_input=3145, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3344","layer":3},{"info":"compute binary expreesion, left_input=3190, right_input=-3344, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=3341","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3341, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⪲⇎((⊙↵-∃⊬BD2⨟⋌⩍∃⊬584)⊉≛↸∃⊬679⪘⫢∃⊬B59⨓(∃⊬5D1⩷∴∃⊬C49))=NaN","reverse_text":"NaN=⪲⇎((⊙↵-∃⊬BD2⨟⋌⩍∃⊬584)⊉≛↸∃⊬679⪘⫢∃⊬B59⨓(∃⊬5D1⩷∴∃⊬C49))","cot":[{"info":"∃⊬BD2⨟⋌⩍∃⊬584=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∃⊬679⪘⫢∃⊬B59=∃⊬C76","layer":3},{"info":"∃⊬5D1⩷∴∃⊬C49=∃⊬-D10","layer":3},{"info":"∃⊬C76⨓∃⊬-D10=∃⊬D0D","layer":2},{"info":"NaN⊉≛↸∃⊬D0D=NaN","layer":1},{"info":"⪲⇎NaN=NaN","layer":0}]}
{"id":344,"expression_no_base_symbol":"($4927$⪛$2910$⨰(⪲⇎$2028$)∲⫓($1048$*$6158$)⪢($3475$⩷∴$2595$))⨽(($5731$-$3044$+$1251$-$5889$)↺($8271$↬$5649$⨸⪁($5831$*$1531$)))","expression":"(∃⊬133F⪛∃⊬B5E⨰(⪲⇎∃⊬7EC)∲⫓(∃⊬418*∃⊬180E)⪢(∃⊬D93⩷∴∃⊬A23))⨽((∃⊬1663-∃⊬BE4+∃⊬4E3-∃⊬1701)↺(∃⊬204F↬∃⊬1611⨸⪁(∃⊬16C7*∃⊬5FB)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":655078,"operation_count":15,"complexity_ratio":43671.86666666667,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4927,"base":16},"right_expr":{"type":"numeric_atoms","value":2910,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2028,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":6158,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3475,"base":16},"right_expr":{"type":"numeric_atoms","value":2595,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5731,"base":16},"right_expr":{"type":"numeric_atoms","value":3044,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1251,"base":16},"right_expr":{"type":"numeric_atoms","value":5889,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":8271,"base":16},"right_expr":{"type":"numeric_atoms","value":5649,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5831,"base":16},"right_expr":{"type":"numeric_atoms","value":1531,"base":16}}}}},"used_operators":["8HhzD0ZcuI","i8ToyICDmI","eewbuw0ToL","uFcxV4UQCh","XPYlsWDdGa","dWAJyo7jo9","9HNa5Wba9A","9FxExcQeMw","7j4O788W3g","W4YGzv6Whe","rysDP5nf3Z","g55IO6H4Gj","B5M0gjZbta"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4927","layer":4},{"info":"number node, value=2910","layer":4},{"info":"compute binary expreesion, left_input=4927, right_input=2910, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2017","layer":3},{"info":"number node, value=2028","layer":4},{"info":"compute unary expreesion, input=2028, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4056","layer":3},{"info":"compute binary expreesion, left_input=2017, right_input=4056, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2029","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=6158","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=6158, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6453584","layer":3},{"info":"number node, value=3475","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=3475, right_input=2595, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1728","layer":3},{"info":"compute binary expreesion, left_input=6453584, right_input=1728, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2029, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=5731","layer":4},{"info":"number node, value=3044","layer":4},{"info":"compute binary expreesion, left_input=5731, right_input=3044, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2687","layer":3},{"info":"number node, value=1251","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=1251, right_input=5889, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4638","layer":3},{"info":"compute binary expreesion, left_input=2687, right_input=-4638, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1951","layer":2},{"info":"number node, value=8271","layer":4},{"info":"number node, value=5649","layer":4},{"info":"compute binary expreesion, left_input=8271, right_input=5649, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5831","layer":4},{"info":"number node, value=1531","layer":4},{"info":"compute binary expreesion, left_input=5831, right_input=1531, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8927261","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8927261, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1951, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬133F⪛∃⊬B5E⨰(⪲⇎∃⊬7EC)∲⫓(∃⊬418*∃⊬180E)⪢(∃⊬D93⩷∴∃⊬A23))⨽((∃⊬1663-∃⊬BE4+∃⊬4E3-∃⊬1701)↺(∃⊬204F↬∃⊬1611⨸⪁(∃⊬16C7*∃⊬5FB)))=NaN","reverse_text":"NaN=(∃⊬133F⪛∃⊬B5E⨰(⪲⇎∃⊬7EC)∲⫓(∃⊬418*∃⊬180E)⪢(∃⊬D93⩷∴∃⊬A23))⨽((∃⊬1663-∃⊬BE4+∃⊬4E3-∃⊬1701)↺(∃⊬204F↬∃⊬1611⨸⪁(∃⊬16C7*∃⊬5FB)))","cot":[{"info":"∃⊬133F⪛∃⊬B5E=∃⊬7E1","layer":3},{"info":"⪲⇎∃⊬7EC=∃⊬FD8","layer":3},{"info":"∃⊬7E1⨰∃⊬FD8=∃⊬-7ED","layer":2},{"info":"∃⊬418*∃⊬180E=∃⊬627950","layer":3},{"info":"∃⊬D93⩷∴∃⊬A23=∃⊬6C0","layer":3},{"info":"∃⊬627950⪢∃⊬6C0=NaN","layer":2},{"info":"∃⊬-7ED∲⫓NaN=NaN","layer":1},{"info":"∃⊬1663-∃⊬BE4=∃⊬A7F","layer":3},{"info":"∃⊬4E3-∃⊬1701=∃⊬-121E","layer":3},{"info":"∃⊬A7F+∃⊬-121E=∃⊬-79F","layer":2},{"info":"∃⊬204F↬∃⊬1611=NaN","layer":3},{"info":"∃⊬16C7*∃⊬5FB=∃⊬88381D","layer":3},{"info":"NaN⨸⪁∃⊬88381D=NaN","layer":2},{"info":"∃⊬-79F↺NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":345,"expression_no_base_symbol":"(⊙↵-($3534$⇷$2988$)⊴($3971$⩠))⇋≉","expression":"(⊙↵-(∃⊬DCE⇷∃⊬BAC)⊴(∃⊬F83⩠))⇋≉","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":49615,"operation_count":5,"complexity_ratio":9923.0,"tree":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3534,"base":16},"right_expr":{"type":"numeric_atoms","value":2988,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3971,"base":16}}}}},"used_operators":["XIabStNQrY","oWn0xqSxBt","Nsiff2A1zJ","mp7IySMOzn","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","14qkJME0vr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"∃⊬-62","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3534","layer":4},{"info":"number node, value=2988","layer":4},{"info":"compute binary expreesion, left_input=3534, right_input=2988, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5976","layer":3},{"info":"number node, value=3971","layer":4},{"info":"compute unary expreesion, input=3971, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5976, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":2},{"info":"compute unary expreesion, input=-79, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((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":"(⊙↵-(∃⊬DCE⇷∃⊬BAC)⊴(∃⊬F83⩠))⇋≉=∃⊬-62","reverse_text":"∃⊬-62=(⊙↵-(∃⊬DCE⇷∃⊬BAC)⊴(∃⊬F83⩠))⇋≉","cot":[{"info":"∃⊬DCE⇷∃⊬BAC=∃⊬1758","layer":3},{"info":"∃⊬F83⩠=∃⊬0","layer":3},{"info":"∃⊬1758⊴∃⊬0=∃⊬-4F","layer":2},{"info":"⊙↵-∃⊬-4F=∃⊬0","layer":1},{"info":"∃⊬0⇋≉=∃⊬-62","layer":0}]}
{"id":346,"expression_no_base_symbol":"((($2906$/$3220$)⪒($1438$⋷$7262$))≦≮≮)⪄(($5432$≦≮≮)↬$2355$↬$2040$≦≮≮)","expression":"(((∃⊬B5A/∃⊬C94)⪒(∃⊬59E⋷∃⊬1C5E))≦≮≮)⪄((∃⊬1538≦≮≮)↬∃⊬933↬∃⊬7F8≦≮≮)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":112,"operation_count":9,"complexity_ratio":12.444444444444445,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2906,"base":16},"right_expr":{"type":"numeric_atoms","value":3220,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1438,"base":16},"right_expr":{"type":"numeric_atoms","value":7262,"base":16}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":5432,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2355,"base":16},"right_expr":{"type":"numeric_atoms","value":2040,"base":16}}}}},"used_operators":["SUmda5xLS4","D4vGDi5EA2","f6k1SAg4EE","XhwjNDsVaA","23Mk6UjR3U","B5M0gjZbta"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2906","layer":4},{"info":"number node, value=3220","layer":4},{"info":"compute binary expreesion, left_input=2906, right_input=3220, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1438","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=1438, right_input=7262, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13086","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=13086, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13086","layer":2},{"info":"compute unary expreesion, input=-13086, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=39258","layer":1},{"info":"number node, value=5432","layer":4},{"info":"compute unary expreesion, input=5432, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-16296","layer":3},{"info":"number node, value=2355","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=2355, right_input=2040, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16296, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=39258, 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":"(((∃⊬B5A/∃⊬C94)⪒(∃⊬59E⋷∃⊬1C5E))≦≮≮)⪄((∃⊬1538≦≮≮)↬∃⊬933↬∃⊬7F8≦≮≮)=NaN","reverse_text":"NaN=(((∃⊬B5A/∃⊬C94)⪒(∃⊬59E⋷∃⊬1C5E))≦≮≮)⪄((∃⊬1538≦≮≮)↬∃⊬933↬∃⊬7F8≦≮≮)","cot":[{"info":"∃⊬B5A/∃⊬C94=∃⊬0","layer":3},{"info":"∃⊬59E⋷∃⊬1C5E=∃⊬331E","layer":3},{"info":"∃⊬0⪒∃⊬331E=∃⊬-331E","layer":2},{"info":"∃⊬-331E≦≮≮=∃⊬995A","layer":1},{"info":"∃⊬1538≦≮≮=∃⊬-3FA8","layer":3},{"info":"∃⊬933↬∃⊬7F8=NaN","layer":3},{"info":"∃⊬-3FA8↬NaN=NaN","layer":2},{"info":"NaN≦≮≮=NaN","layer":1},{"info":"∃⊬995A⪄NaN=NaN","layer":0}]}
{"id":347,"expression_no_base_symbol":"($5550$+⇶⊼$6029$⊠≄⫣)⪢(($3454$⨽$1819$)⩷∴($1237$⊦⊿))⨸⪁($1740$⋓$8201$)∑⇟⊟($2756$∑⇟⊟$3327$)⩚⊴⇥(⊄⩳↩(⨞⊢$2203$))","expression":"(∃⊬15AE+⇶⊼∃⊬178D⊠≄⫣)⪢((∃⊬D7E⨽∃⊬71B)⩷∴(∃⊬4D5⊦⊿))⨸⪁(∃⊬6CC⋓∃⊬2009)∑⇟⊟(∃⊬AC4∑⇟⊟∃⊬CFF)⩚⊴⇥(⊄⩳↩(⨞⊢∃⊬89B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3506,"operation_count":13,"complexity_ratio":269.6923076923077,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5550,"base":16},"right_expr":{"type":"numeric_atoms","value":6029,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3454,"base":16},"right_expr":{"type":"numeric_atoms","value":1819,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1237,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1740,"base":16},"right_expr":{"type":"numeric_atoms","value":8201,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2756,"base":16},"right_expr":{"type":"numeric_atoms","value":3327,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2203,"base":16}}}}},"used_operators":["g55IO6H4Gj","dWAJyo7jo9","DIvbN7qnHd","TpPTUOHfaN","9FxExcQeMw","8HhzD0ZcuI","14qkJME0vr","NTOWxs364D","U7g4x0WXJJ","T2fj7uvVaJ","8w2t5hMYqp","xUOZtlo3hN"],"dependent_operators":["W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5550","layer":4},{"info":"number node, value=6029","layer":4},{"info":"compute binary expreesion, left_input=5550, right_input=6029, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"info":"number node, value=3454","layer":4},{"info":"number node, value=1819","layer":4},{"info":"compute binary expreesion, left_input=3454, right_input=1819, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-35794491","layer":3},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3790","layer":3},{"info":"compute binary expreesion, left_input=-35794491, right_input=-3790, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-71581434","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-71581434, 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=1740","layer":4},{"info":"number node, value=8201","layer":4},{"info":"compute binary expreesion, left_input=1740, right_input=8201, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2756","layer":4},{"info":"number node, value=3327","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=3327, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2203","layer":4},{"info":"compute unary expreesion, input=2203, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2377","layer":3},{"info":"compute unary expreesion, input=-2377, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=7131","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7131, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+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":"(∃⊬15AE+⇶⊼∃⊬178D⊠≄⫣)⪢((∃⊬D7E⨽∃⊬71B)⩷∴(∃⊬4D5⊦⊿))⨸⪁(∃⊬6CC⋓∃⊬2009)∑⇟⊟(∃⊬AC4∑⇟⊟∃⊬CFF)⩚⊴⇥(⊄⩳↩(⨞⊢∃⊬89B))=NaN","reverse_text":"NaN=(∃⊬15AE+⇶⊼∃⊬178D⊠≄⫣)⪢((∃⊬D7E⨽∃⊬71B)⩷∴(∃⊬4D5⊦⊿))⨸⪁(∃⊬6CC⋓∃⊬2009)∑⇟⊟(∃⊬AC4∑⇟⊟∃⊬CFF)⩚⊴⇥(⊄⩳↩(⨞⊢∃⊬89B))","cot":[{"info":"∃⊬15AE+⇶⊼∃⊬178D=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"∃⊬D7E⨽∃⊬71B=∃⊬-2222E3B","layer":3},{"info":"∃⊬4D5⊦⊿=∃⊬-ECE","layer":3},{"info":"∃⊬-2222E3B⩷∴∃⊬-ECE=∃⊬-4443EFA","layer":2},{"info":"NaN⪢∃⊬-4443EFA=NaN","layer":1},{"info":"∃⊬6CC⋓∃⊬2009=∃⊬0","layer":3},{"info":"∃⊬AC4∑⇟⊟∃⊬CFF=NaN","layer":3},{"info":"∃⊬0∑⇟⊟NaN=NaN","layer":2},{"info":"⨞⊢∃⊬89B=∃⊬-949","layer":3},{"info":"⊄⩳↩∃⊬-949=∃⊬1BDB","layer":2},{"info":"NaN⩚⊴⇥∃⊬1BDB=NaN","layer":1},{"info":"NaN⨸⪁NaN=NaN","layer":0}]}
{"id":348,"expression_no_base_symbol":"($3150$+⇶⊼$1767$⫩⊇)≭($2938$≧⫂∧$2654$⇼⇔∾($2815$+$5892$))⨳⩥⨓($2836$∀⇚≩$1174$)⪢($3134$⩨$1340$)⨰(($7959$⫸⊐$1576$)↺($7061$-$6744$))","expression":"(∃⊬C4E+⇶⊼∃⊬6E7⫩⊇)≭(∃⊬B7A≧⫂∧∃⊬A5E⇼⇔∾(∃⊬AFF+∃⊬1704))⨳⩥⨓(∃⊬B14∀⇚≩∃⊬496)⪢(∃⊬C3E⩨∃⊬53C)⨰((∃⊬1F17⫸⊐∃⊬628)↺(∃⊬1B95-∃⊬1A58))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19901,"operation_count":14,"complexity_ratio":1421.5,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3150,"base":16},"right_expr":{"type":"numeric_atoms","value":1767,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2938,"base":16},"right_expr":{"type":"numeric_atoms","value":2654,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2815,"base":16},"right_expr":{"type":"numeric_atoms","value":5892,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2836,"base":16},"right_expr":{"type":"numeric_atoms","value":1174,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3134,"base":16},"right_expr":{"type":"numeric_atoms","value":1340,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7959,"base":16},"right_expr":{"type":"numeric_atoms","value":1576,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":7061,"base":16},"right_expr":{"type":"numeric_atoms","value":6744,"base":16}}}}},"used_operators":["nCS4ZIUYfx","rxpJgHHUmx","BjRHVeLaeN","TpPTUOHfaN","tifHPKVTfV","Ph9nP6C5qx","W4YGzv6Whe","eewbuw0ToL","dWAJyo7jo9","LRNGc0VcxI","2DlMacCsIx","7j4O788W3g","mqXw5SEYmG","rysDP5nf3Z"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":4},{"info":"number node, value=1767","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=1767, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=2938","layer":4},{"info":"number node, value=2654","layer":4},{"info":"compute binary expreesion, left_input=2938, right_input=2654, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2181","layer":3},{"info":"number node, value=2815","layer":4},{"info":"number node, value=5892","layer":4},{"info":"compute binary expreesion, left_input=2815, right_input=5892, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8707","layer":3},{"info":"compute binary expreesion, left_input=2181, right_input=8707, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=6526","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6526, 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=2836","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=2836, right_input=1174, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3134","layer":4},{"info":"number node, value=1340","layer":4},{"info":"compute binary expreesion, left_input=3134, right_input=1340, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=7959","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=7959, right_input=1576, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6179","layer":3},{"info":"number node, value=7061","layer":4},{"info":"number node, value=6744","layer":4},{"info":"compute binary expreesion, left_input=7061, right_input=6744, op_id = rysDP5nf3Z binary_op_definition= 'None', output=317","layer":3},{"info":"compute binary expreesion, left_input=6179, right_input=317, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=317","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=317, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-307","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-307, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C4E+⇶⊼∃⊬6E7⫩⊇)≭(∃⊬B7A≧⫂∧∃⊬A5E⇼⇔∾(∃⊬AFF+∃⊬1704))⨳⩥⨓(∃⊬B14∀⇚≩∃⊬496)⪢(∃⊬C3E⩨∃⊬53C)⨰((∃⊬1F17⫸⊐∃⊬628)↺(∃⊬1B95-∃⊬1A58))=NaN","reverse_text":"NaN=(∃⊬C4E+⇶⊼∃⊬6E7⫩⊇)≭(∃⊬B7A≧⫂∧∃⊬A5E⇼⇔∾(∃⊬AFF+∃⊬1704))⨳⩥⨓(∃⊬B14∀⇚≩∃⊬496)⪢(∃⊬C3E⩨∃⊬53C)⨰((∃⊬1F17⫸⊐∃⊬628)↺(∃⊬1B95-∃⊬1A58))","cot":[{"info":"∃⊬C4E+⇶⊼∃⊬6E7=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"∃⊬B7A≧⫂∧∃⊬A5E=∃⊬885","layer":3},{"info":"∃⊬AFF+∃⊬1704=∃⊬2203","layer":3},{"info":"∃⊬885⇼⇔∾∃⊬2203=∃⊬197E","layer":2},{"info":"NaN≭∃⊬197E=NaN","layer":1},{"info":"∃⊬B14∀⇚≩∃⊬496=NaN","layer":3},{"info":"∃⊬C3E⩨∃⊬53C=∃⊬0","layer":3},{"info":"NaN⪢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬1F17⫸⊐∃⊬628=∃⊬1823","layer":3},{"info":"∃⊬1B95-∃⊬1A58=∃⊬13D","layer":3},{"info":"∃⊬1823↺∃⊬13D=∃⊬13D","layer":2},{"info":"∃⊬0⨰∃⊬13D=∃⊬-133","layer":1},{"info":"NaN⨳⩥⨓∃⊬-133=NaN","layer":0}]}
{"id":349,"expression_no_base_symbol":"(($5525$≹⇙⪍$3979$⪨≂$1783$↙$4442$)⇼⇔∾($6504$⫸⊐$3896$↛⩡⫤))⩷∴((⫛⫱⨽$5169$)⪐)↬($4648$+⇶⊼$2878$⪒($2723$⫌⩹⨱))","expression":"((∃⊬1595≹⇙⪍∃⊬F8B⪨≂∃⊬6F7↙∃⊬115A)⇼⇔∾(∃⊬1968⫸⊐∃⊬F38↛⩡⫤))⩷∴((⫛⫱⨽∃⊬1431)⪐)↬(∃⊬1228+⇶⊼∃⊬B3E⪒(∃⊬AA3⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":52430,"operation_count":13,"complexity_ratio":4033.076923076923,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5525,"base":16},"right_expr":{"type":"numeric_atoms","value":3979,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1783,"base":16},"right_expr":{"type":"numeric_atoms","value":4442,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6504,"base":16},"right_expr":{"type":"numeric_atoms","value":3896,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5169,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4648,"base":16},"right_expr":{"type":"numeric_atoms","value":2878,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2723,"base":16}}}}},"used_operators":["9FxExcQeMw","tifHPKVTfV","sdazOOVcIp","AHs5Up7iyr","yyfyN0ffXY","FU0Cs4j7VP","mqXw5SEYmG","B5M0gjZbta","eH2TOUuTDT","DlLNRPXxWL","f6k1SAg4EE","TpPTUOHfaN","EBcxylXtPf"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5525","layer":4},{"info":"number node, value=3979","layer":4},{"info":"compute binary expreesion, left_input=5525, right_input=3979, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1783","layer":4},{"info":"number node, value=4442","layer":4},{"info":"compute binary expreesion, left_input=1783, right_input=4442, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13326","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13326, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=6504","layer":4},{"info":"number node, value=3896","layer":4},{"info":"compute binary expreesion, left_input=6504, right_input=3896, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15459","layer":3},{"info":"compute unary expreesion, input=15459, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-2330398","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2330398, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=5169","layer":4},{"info":"compute unary expreesion, input=5169, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"number node, value=4648","layer":4},{"info":"number node, value=2878","layer":4},{"info":"compute binary expreesion, left_input=4648, right_input=2878, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2723","layer":4},{"info":"compute unary expreesion, input=2723, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6847","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6847, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1595≹⇙⪍∃⊬F8B⪨≂∃⊬6F7↙∃⊬115A)⇼⇔∾(∃⊬1968⫸⊐∃⊬F38↛⩡⫤))⩷∴((⫛⫱⨽∃⊬1431)⪐)↬(∃⊬1228+⇶⊼∃⊬B3E⪒(∃⊬AA3⫌⩹⨱))=NaN","reverse_text":"NaN=((∃⊬1595≹⇙⪍∃⊬F8B⪨≂∃⊬6F7↙∃⊬115A)⇼⇔∾(∃⊬1968⫸⊐∃⊬F38↛⩡⫤))⩷∴((⫛⫱⨽∃⊬1431)⪐)↬(∃⊬1228+⇶⊼∃⊬B3E⪒(∃⊬AA3⫌⩹⨱))","cot":[{"info":"∃⊬1595≹⇙⪍∃⊬F8B=NaN","layer":3},{"info":"∃⊬6F7↙∃⊬115A=∃⊬-340E","layer":3},{"info":"NaN⪨≂∃⊬-340E=NaN","layer":2},{"info":"∃⊬1968⫸⊐∃⊬F38=∃⊬3C63","layer":3},{"info":"∃⊬3C63↛⩡⫤=∃⊬-238F1E","layer":2},{"info":"NaN⇼⇔∾∃⊬-238F1E=NaN","layer":1},{"info":"⫛⫱⨽∃⊬1431=∃⊬0","layer":3},{"info":"∃⊬0⪐=∃⊬0","layer":2},{"info":"∃⊬1228+⇶⊼∃⊬B3E=NaN","layer":3},{"info":"∃⊬AA3⫌⩹⨱=∃⊬1ABF","layer":3},{"info":"NaN⪒∃⊬1ABF=NaN","layer":2},{"info":"∃⊬0↬NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":350,"expression_no_base_symbol":"+⊝⨔(↥(⊥(⊙↵-$2535$)))","expression":"+⊝⨔(↥(⊥(⊙↵-∃⊬9E7)))","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":2609,"operation_count":4,"complexity_ratio":652.25,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2535,"base":16}}}}},"used_operators":["DhbWaqg5eL","A8NUZmVepG","Q3PJZHRvZv","oWn0xqSxBt"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","fu6greOZ01","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2535","layer":4},{"info":"compute unary expreesion, input=2535, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=4","layer":2},{"info":"compute unary expreesion, input=4, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=4","layer":1},{"info":"compute unary expreesion, input=4, 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":"+⊝⨔(↥(⊥(⊙↵-∃⊬9E7)))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(↥(⊥(⊙↵-∃⊬9E7)))","cot":[{"info":"⊙↵-∃⊬9E7=∃⊬-1","layer":3},{"info":"⊥∃⊬-1=∃⊬4","layer":2},{"info":"↥∃⊬4=∃⊬4","layer":1},{"info":"+⊝⨔∃⊬4=∃⊬5F2","layer":0}]}
{"id":351,"expression_no_base_symbol":"(($2721$⨸⪁$4721$)⋳⪒(⨞⊢$2889$)⨳⩥⨓($2342$⨐⩸⫘$2661$⨵⪆$4162$⨓$5652$))⨟⋌⩍(↥($8015$≋⫹)≹⇙⪍($1040$⋥≓≎$2212$))","expression":"((∃⊬AA1⨸⪁∃⊬1271)⋳⪒(⨞⊢∃⊬B49)⨳⩥⨓(∃⊬926⨐⩸⫘∃⊬A65⨵⪆∃⊬1042⨓∃⊬1614))⨟⋌⩍(↥(∃⊬1F4F≋⫹)≹⇙⪍(∃⊬410⋥≓≎∃⊬8A4))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5685,"operation_count":12,"complexity_ratio":473.75,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2721,"base":16},"right_expr":{"type":"numeric_atoms","value":4721,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2889,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2342,"base":16},"right_expr":{"type":"numeric_atoms","value":2661,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4162,"base":16},"right_expr":{"type":"numeric_atoms","value":5652,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8015,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1040,"base":16},"right_expr":{"type":"numeric_atoms","value":2212,"base":16}}}}},"used_operators":["rGHVDoGpnC","nCS4ZIUYfx","12rbrZMWeM","g55IO6H4Gj","xUOZtlo3hN","2DQ55sFlQl","fu6greOZ01","3ViojmjbAp","A8NUZmVepG","AHs5Up7iyr","N41Kp7NANJ","Qy55tPpLXF"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2721","layer":4},{"info":"number node, value=4721","layer":4},{"info":"compute binary expreesion, left_input=2721, right_input=4721, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14884","layer":3},{"info":"number node, value=2889","layer":4},{"info":"compute unary expreesion, input=2889, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3063","layer":3},{"info":"compute binary expreesion, left_input=14884, right_input=-3063, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=32544","layer":2},{"info":"number node, value=2342","layer":4},{"info":"number node, value=2661","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=2661, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4162","layer":4},{"info":"number node, value=5652","layer":4},{"info":"compute binary expreesion, left_input=4162, right_input=5652, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5655","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5655, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=32544, right_input=160, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-32384","layer":1},{"info":"number node, value=8015","layer":4},{"info":"compute unary expreesion, input=8015, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-16030","layer":3},{"info":"number node, value=1040","layer":4},{"info":"number node, value=2212","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=2212, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3417","layer":3},{"info":"compute binary expreesion, left_input=-16030, right_input=3417, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-32384, 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":"((∃⊬AA1⨸⪁∃⊬1271)⋳⪒(⨞⊢∃⊬B49)⨳⩥⨓(∃⊬926⨐⩸⫘∃⊬A65⨵⪆∃⊬1042⨓∃⊬1614))⨟⋌⩍(↥(∃⊬1F4F≋⫹)≹⇙⪍(∃⊬410⋥≓≎∃⊬8A4))=NaN","reverse_text":"NaN=((∃⊬AA1⨸⪁∃⊬1271)⋳⪒(⨞⊢∃⊬B49)⨳⩥⨓(∃⊬926⨐⩸⫘∃⊬A65⨵⪆∃⊬1042⨓∃⊬1614))⨟⋌⩍(↥(∃⊬1F4F≋⫹)≹⇙⪍(∃⊬410⋥≓≎∃⊬8A4))","cot":[{"info":"∃⊬AA1⨸⪁∃⊬1271=∃⊬3A24","layer":3},{"info":"⨞⊢∃⊬B49=∃⊬-BF7","layer":3},{"info":"∃⊬3A24⋳⪒∃⊬-BF7=∃⊬7F20","layer":2},{"info":"∃⊬926⨐⩸⫘∃⊬A65=NaN","layer":3},{"info":"∃⊬1042⨓∃⊬1614=∃⊬-1617","layer":3},{"info":"NaN⨵⪆∃⊬-1617=∃⊬A0","layer":2},{"info":"∃⊬7F20⨳⩥⨓∃⊬A0=∃⊬-7E80","layer":1},{"info":"∃⊬1F4F≋⫹=∃⊬-3E9E","layer":3},{"info":"∃⊬410⋥≓≎∃⊬8A4=∃⊬D59","layer":3},{"info":"∃⊬-3E9E≹⇙⪍∃⊬D59=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"∃⊬-7E80⨟⋌⩍NaN=NaN","layer":0}]}
{"id":352,"expression_no_base_symbol":"(($3412$⨽$2583$⋷$1456$⊉≛↸$4090$)⩨($1070$≹⇙⪍$2157$⊭∹↮))⨐⩸⫘($2646$↛⩡⫤)≭$1292$⋓$1886$⋳⪒(($2193$⊦⊿)⊉≛↸$3721$⨪↰⇹$1423$)","expression":"((∃⊬D54⨽∃⊬A17⋷∃⊬5B0⊉≛↸∃⊬FFA)⩨(∃⊬42E≹⇙⪍∃⊬86D⊭∹↮))⨐⩸⫘(∃⊬A56↛⩡⫤)≭∃⊬50C⋓∃⊬75E⋳⪒((∃⊬891⊦⊿)⊉≛↸∃⊬E89⨪↰⇹∃⊬58F)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15261,"operation_count":14,"complexity_ratio":1090.0714285714287,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3412,"base":16},"right_expr":{"type":"numeric_atoms","value":2583,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1456,"base":16},"right_expr":{"type":"numeric_atoms","value":4090,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1070,"base":16},"right_expr":{"type":"numeric_atoms","value":2157,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2646,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1292,"base":16},"right_expr":{"type":"numeric_atoms","value":1886,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2193,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3721,"base":16},"right_expr":{"type":"numeric_atoms","value":1423,"base":16}}}}},"used_operators":["fu6greOZ01","2DlMacCsIx","23Mk6UjR3U","8HhzD0ZcuI","DZ8iAZOCBD","xNBdhnnwKq","AHs5Up7iyr","12rbrZMWeM","rxpJgHHUmx","FU0Cs4j7VP","T2fj7uvVaJ","14qkJME0vr","tmPS8pqC7x"],"dependent_operators":["3ViojmjbAp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3412","layer":4},{"info":"number node, value=2583","layer":4},{"info":"compute binary expreesion, left_input=3412, right_input=2583, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-34931667","layer":3},{"info":"number node, value=1456","layer":4},{"info":"number node, value=4090","layer":4},{"info":"compute binary expreesion, left_input=1456, right_input=4090, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2912","layer":3},{"info":"compute binary expreesion, left_input=-34931667, right_input=2912, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=69863334","layer":2},{"info":"number node, value=1070","layer":4},{"info":"number node, value=2157","layer":4},{"info":"compute binary expreesion, left_input=1070, right_input=2157, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=69863334, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2646","layer":4},{"info":"compute unary expreesion, input=2646, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-395635","layer":3},{"info":"number node, value=1292","layer":4},{"info":"number node, value=1886","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=1886, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-395635, 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":2},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6658","layer":3},{"info":"number node, value=3721","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3721, right_input=1423, 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=3721","layer":3},{"info":"compute binary expreesion, left_input=-6658, right_input=3721, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3721","layer":2},{"info":"compute binary expreesion, left_input=-22, right_input=-3721, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3390","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3390, 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":"((∃⊬D54⨽∃⊬A17⋷∃⊬5B0⊉≛↸∃⊬FFA)⩨(∃⊬42E≹⇙⪍∃⊬86D⊭∹↮))⨐⩸⫘(∃⊬A56↛⩡⫤)≭∃⊬50C⋓∃⊬75E⋳⪒((∃⊬891⊦⊿)⊉≛↸∃⊬E89⨪↰⇹∃⊬58F)=NaN","reverse_text":"NaN=((∃⊬D54⨽∃⊬A17⋷∃⊬5B0⊉≛↸∃⊬FFA)⩨(∃⊬42E≹⇙⪍∃⊬86D⊭∹↮))⨐⩸⫘(∃⊬A56↛⩡⫤)≭∃⊬50C⋓∃⊬75E⋳⪒((∃⊬891⊦⊿)⊉≛↸∃⊬E89⨪↰⇹∃⊬58F)","cot":[{"info":"∃⊬D54⨽∃⊬A17=∃⊬-21503D3","layer":3},{"info":"∃⊬5B0⊉≛↸∃⊬FFA=∃⊬B60","layer":3},{"info":"∃⊬-21503D3⋷∃⊬B60=∃⊬42A07A6","layer":2},{"info":"∃⊬42E≹⇙⪍∃⊬86D=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"∃⊬42A07A6⩨NaN=NaN","layer":1},{"info":"∃⊬A56↛⩡⫤=∃⊬-60973","layer":3},{"info":"∃⊬50C⋓∃⊬75E=∃⊬0","layer":3},{"info":"∃⊬-60973≭∃⊬0=∃⊬-16","layer":2},{"info":"∃⊬891⊦⊿=∃⊬-1A02","layer":3},{"info":"∃⊬E89⨪↰⇹∃⊬58F=∃⊬E89","layer":3},{"info":"∃⊬-1A02⊉≛↸∃⊬E89=∃⊬-E89","layer":2},{"info":"∃⊬-16⋳⪒∃⊬-E89=∃⊬D3E","layer":1},{"info":"NaN⨐⩸⫘∃⊬D3E=NaN","layer":0}]}
{"id":353,"expression_no_base_symbol":"↥($2915$⩨$3475$)⨰(↯⪼$3648$)+⇶⊼($3197$⊦⊿)⨪↰⇹$1165$⊴$7069$","expression":"↥(∃⊬B63⩨∃⊬D93)⨰(↯⪼∃⊬E40)+⇶⊼(∃⊬C7D⊦⊿)⨪↰⇹∃⊬48D⊴∃⊬1B9D","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":16794,"operation_count":8,"complexity_ratio":2099.25,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2915,"base":16},"right_expr":{"type":"numeric_atoms","value":3475,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3648,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3197,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1165,"base":16},"right_expr":{"type":"numeric_atoms","value":7069,"base":16}}}}},"used_operators":["A8NUZmVepG","TpPTUOHfaN","eewbuw0ToL","2DlMacCsIx","8jW3W4yZS5","tmPS8pqC7x","14qkJME0vr","Nsiff2A1zJ"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2915","layer":4},{"info":"number node, value=3475","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=3475, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3648","layer":4},{"info":"compute unary expreesion, input=3648, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=28","layer":2},{"info":"number node, value=3197","layer":4},{"info":"compute unary expreesion, input=3197, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9670","layer":3},{"info":"number node, value=1165","layer":4},{"info":"number node, value=7069","layer":4},{"info":"compute binary expreesion, left_input=1165, right_input=7069, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9670, 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=-9670","layer":2},{"info":"compute binary expreesion, left_input=28, right_input=-9670, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥(∃⊬B63⩨∃⊬D93)⨰(↯⪼∃⊬E40)+⇶⊼(∃⊬C7D⊦⊿)⨪↰⇹∃⊬48D⊴∃⊬1B9D=NaN","reverse_text":"NaN=↥(∃⊬B63⩨∃⊬D93)⨰(↯⪼∃⊬E40)+⇶⊼(∃⊬C7D⊦⊿)⨪↰⇹∃⊬48D⊴∃⊬1B9D","cot":[{"info":"∃⊬B63⩨∃⊬D93=∃⊬-3","layer":3},{"info":"↯⪼∃⊬E40=∃⊬-15","layer":3},{"info":"∃⊬-3⨰∃⊬-15=∃⊬1C","layer":2},{"info":"∃⊬C7D⊦⊿=∃⊬-25C6","layer":3},{"info":"∃⊬48D⊴∃⊬1B9D=NaN","layer":3},{"info":"∃⊬-25C6⨪↰⇹NaN=∃⊬-25C6","layer":2},{"info":"∃⊬1C+⇶⊼∃⊬-25C6=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":354,"expression_no_base_symbol":"(⨑⩽⪐($1756$⪛$1611$⊭∹↮))⊴((⨈⫕$3988$≎⊠⪸$1822$)⪛($1264$⨳⩥⨓$1335$∲⫓$3184$∼$2644$))","expression":"(⨑⩽⪐(∃⊬6DC⪛∃⊬64B⊭∹↮))⊴((⨈⫕∃⊬F94≎⊠⪸∃⊬71E)⪛(∃⊬4F0⨳⩥⨓∃⊬537∲⫓∃⊬C70∼∃⊬A54))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":745,"operation_count":10,"complexity_ratio":74.5,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1756,"base":16},"right_expr":{"type":"numeric_atoms","value":1611,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3988,"base":16},"right_expr":{"type":"numeric_atoms","value":1822,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1264,"base":16},"right_expr":{"type":"numeric_atoms","value":1335,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3184,"base":16},"right_expr":{"type":"numeric_atoms","value":2644,"base":16}}}}},"used_operators":["Nsiff2A1zJ","AF7qkfDlqP","xNBdhnnwKq","uFcxV4UQCh","megm06wKyl","bJkvcejdHO","i8ToyICDmI","nCS4ZIUYfx","DyGG3AbaNP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1756","layer":4},{"info":"number node, value=1611","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1611, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=145","layer":3},{"info":"compute unary expreesion, input=145, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=145","layer":2},{"info":"compute unary expreesion, input=145, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=128","layer":1},{"info":"number node, value=3988","layer":4},{"info":"number node, value=1822","layer":4},{"info":"compute binary expreesion, left_input=3988, right_input=1822, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1032419","layer":3},{"info":"compute unary expreesion, input=1032419, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=1335","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=1335, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=71","layer":3},{"info":"number node, value=3184","layer":4},{"info":"number node, value=2644","layer":4},{"info":"compute binary expreesion, left_input=3184, right_input=2644, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=71, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=128, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐(∃⊬6DC⪛∃⊬64B⊭∹↮))⊴((⨈⫕∃⊬F94≎⊠⪸∃⊬71E)⪛(∃⊬4F0⨳⩥⨓∃⊬537∲⫓∃⊬C70∼∃⊬A54))=NaN","reverse_text":"NaN=(⨑⩽⪐(∃⊬6DC⪛∃⊬64B⊭∹↮))⊴((⨈⫕∃⊬F94≎⊠⪸∃⊬71E)⪛(∃⊬4F0⨳⩥⨓∃⊬537∲⫓∃⊬C70∼∃⊬A54))","cot":[{"info":"∃⊬6DC⪛∃⊬64B=∃⊬91","layer":3},{"info":"∃⊬91⊭∹↮=∃⊬91","layer":2},{"info":"⨑⩽⪐∃⊬91=∃⊬80","layer":1},{"info":"∃⊬F94≎⊠⪸∃⊬71E=∃⊬FC0E3","layer":3},{"info":"⨈⫕∃⊬FC0E3=∃⊬-15","layer":2},{"info":"∃⊬4F0⨳⩥⨓∃⊬537=∃⊬47","layer":3},{"info":"∃⊬C70∼∃⊬A54=NaN","layer":3},{"info":"∃⊬47∲⫓NaN=NaN","layer":2},{"info":"∃⊬-15⪛NaN=NaN","layer":1},{"info":"∃⊬80⊴NaN=NaN","layer":0}]}
{"id":355,"expression_no_base_symbol":"(($3052$∀⇚≩$4510$+$1126$⫥∨⫟$1021$)⋝⋈⪟((⊄⩳↩$1161$)⋳⪒(⇁⨣⪵$2195$)))⊴(($3914$⩷∴$4350$)⪢(↔$1142$))≹⇙⪍(($2016$⫥∨⫟$1288$)⨰(⊄⩳↩$3041$))","expression":"((∃⊬BEC∀⇚≩∃⊬119E+∃⊬466⫥∨⫟∃⊬3FD)⋝⋈⪟((⊄⩳↩∃⊬489)⋳⪒(⇁⨣⪵∃⊬893)))⊴((∃⊬F4A⩷∴∃⊬10FE)⪢(↔∃⊬476))≹⇙⪍((∃⊬7E0⫥∨⫟∃⊬508)⨰(⊄⩳↩∃⊬BE1))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22984,"operation_count":15,"complexity_ratio":1532.2666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3052,"base":16},"right_expr":{"type":"numeric_atoms","value":4510,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1126,"base":16},"right_expr":{"type":"numeric_atoms","value":1021,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1161,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2195,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3914,"base":16},"right_expr":{"type":"numeric_atoms","value":4350,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1142,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2016,"base":16},"right_expr":{"type":"numeric_atoms","value":1288,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3041,"base":16}}}}},"used_operators":["Nsiff2A1zJ","2DDjHMKMc0","W4YGzv6Whe","LRNGc0VcxI","KYD54nUTWz","12rbrZMWeM","8w2t5hMYqp","inkyxCbjAn","AHs5Up7iyr","dWAJyo7jo9","9FxExcQeMw","ruOEQAzv1W","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","dWAJyo7jo9","k8jYdgA6NY","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3052","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=3052, right_input=4510, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1126","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=1126, right_input=1021, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1161","layer":4},{"info":"compute unary expreesion, input=1161, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3483","layer":3},{"info":"number node, value=2195","layer":4},{"info":"compute unary expreesion, input=2195, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3483, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3914","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=3914, right_input=4350, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-904","layer":3},{"info":"number node, value=1142","layer":4},{"info":"compute unary expreesion, input=1142, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-869","layer":3},{"info":"compute binary expreesion, left_input=-904, right_input=-869, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2016","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=2016, right_input=1288, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3041","layer":4},{"info":"compute unary expreesion, input=3041, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9123","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9123, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬BEC∀⇚≩∃⊬119E+∃⊬466⫥∨⫟∃⊬3FD)⋝⋈⪟((⊄⩳↩∃⊬489)⋳⪒(⇁⨣⪵∃⊬893)))⊴((∃⊬F4A⩷∴∃⊬10FE)⪢(↔∃⊬476))≹⇙⪍((∃⊬7E0⫥∨⫟∃⊬508)⨰(⊄⩳↩∃⊬BE1))=NaN","reverse_text":"NaN=((∃⊬BEC∀⇚≩∃⊬119E+∃⊬466⫥∨⫟∃⊬3FD)⋝⋈⪟((⊄⩳↩∃⊬489)⋳⪒(⇁⨣⪵∃⊬893)))⊴((∃⊬F4A⩷∴∃⊬10FE)⪢(↔∃⊬476))≹⇙⪍((∃⊬7E0⫥∨⫟∃⊬508)⨰(⊄⩳↩∃⊬BE1))","cot":[{"info":"∃⊬BEC∀⇚≩∃⊬119E=NaN","layer":3},{"info":"∃⊬466⫥∨⫟∃⊬3FD=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"⊄⩳↩∃⊬489=∃⊬-D9B","layer":3},{"info":"⇁⨣⪵∃⊬893=NaN","layer":3},{"info":"∃⊬-D9B⋳⪒NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬F4A⩷∴∃⊬10FE=∃⊬-388","layer":3},{"info":"↔∃⊬476=∃⊬-365","layer":3},{"info":"∃⊬-388⪢∃⊬-365=NaN","layer":2},{"info":"∃⊬7E0⫥∨⫟∃⊬508=NaN","layer":3},{"info":"⊄⩳↩∃⊬BE1=∃⊬-23A3","layer":3},{"info":"NaN⨰∃⊬-23A3=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":356,"expression_no_base_symbol":"($1071$⪢$1313$)⪮%⊝(⫓⪴$1935$)⨰(⫓⪴($8195$*$6081$))⨎($6490$⨎$4207$⋥≓≎($4363$⪄$1181$))⋓((⫓⪴$3129$)⪄$3403$≭$3509$)","expression":"(∃⊬42F⪢∃⊬521)⪮%⊝(⫓⪴∃⊬78F)⨰(⫓⪴(∃⊬2003*∃⊬17C1))⨎(∃⊬195A⨎∃⊬106F⋥≓≎(∃⊬110B⪄∃⊬49D))⋓((⫓⪴∃⊬C39)⪄∃⊬D4B≭∃⊬DB5)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49846477,"operation_count":14,"complexity_ratio":3560462.6428571427,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1071,"base":16},"right_expr":{"type":"numeric_atoms","value":1313,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1935,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":8195,"base":16},"right_expr":{"type":"numeric_atoms","value":6081,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6490,"base":16},"right_expr":{"type":"numeric_atoms","value":4207,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4363,"base":16},"right_expr":{"type":"numeric_atoms","value":1181,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3129,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3403,"base":16},"right_expr":{"type":"numeric_atoms","value":3509,"base":16}}}}},"used_operators":["rJVOvQCfKK","eewbuw0ToL","IWmyXbctLI","dWAJyo7jo9","eLxqMNBOBk","9HNa5Wba9A","T2fj7uvVaJ","Qy55tPpLXF","SUmda5xLS4","rxpJgHHUmx"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1071","layer":4},{"info":"number node, value=1313","layer":4},{"info":"compute binary expreesion, left_input=1071, right_input=1313, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1935","layer":4},{"info":"compute unary expreesion, input=1935, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=3744225","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3744225, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=8195","layer":4},{"info":"number node, value=6081","layer":4},{"info":"compute binary expreesion, left_input=8195, right_input=6081, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=49833795","layer":3},{"info":"compute unary expreesion, input=49833795, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=inf, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=6490","layer":4},{"info":"number node, value=4207","layer":4},{"info":"compute binary expreesion, left_input=6490, right_input=4207, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4207","layer":3},{"info":"number node, value=4363","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=4363, right_input=1181, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-646537","layer":3},{"info":"compute binary expreesion, left_input=4207, right_input=-646537, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1297248","layer":2},{"info":"number node, value=3129","layer":4},{"info":"compute unary expreesion, input=3129, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9790641","layer":3},{"info":"number node, value=3403","layer":4},{"info":"number node, value=3509","layer":4},{"info":"compute binary expreesion, left_input=3403, right_input=3509, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9790641, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1297248, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬42F⪢∃⊬521)⪮%⊝(⫓⪴∃⊬78F)⨰(⫓⪴(∃⊬2003*∃⊬17C1))⨎(∃⊬195A⨎∃⊬106F⋥≓≎(∃⊬110B⪄∃⊬49D))⋓((⫓⪴∃⊬C39)⪄∃⊬D4B≭∃⊬DB5)=NaN","reverse_text":"NaN=(∃⊬42F⪢∃⊬521)⪮%⊝(⫓⪴∃⊬78F)⨰(⫓⪴(∃⊬2003*∃⊬17C1))⨎(∃⊬195A⨎∃⊬106F⋥≓≎(∃⊬110B⪄∃⊬49D))⋓((⫓⪴∃⊬C39)⪄∃⊬D4B≭∃⊬DB5)","cot":[{"info":"∃⊬42F⪢∃⊬521=NaN","layer":3},{"info":"⫓⪴∃⊬78F=∃⊬3921E1","layer":3},{"info":"NaN⪮%⊝∃⊬3921E1=NaN","layer":2},{"info":"∃⊬2003*∃⊬17C1=∃⊬2F86743","layer":3},{"info":"⫓⪴∃⊬2F86743=Inf","layer":2},{"info":"NaN⨰Inf=NaN","layer":1},{"info":"∃⊬195A⨎∃⊬106F=∃⊬106F","layer":3},{"info":"∃⊬110B⪄∃⊬49D=∃⊬-9DD89","layer":3},{"info":"∃⊬106F⋥≓≎∃⊬-9DD89=∃⊬-13CB60","layer":2},{"info":"⫓⪴∃⊬C39=∃⊬9564B1","layer":3},{"info":"∃⊬D4B≭∃⊬DB5=NaN","layer":3},{"info":"∃⊬9564B1⪄NaN=NaN","layer":2},{"info":"∃⊬-13CB60⋓NaN=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":357,"expression_no_base_symbol":"(($7031$⊦⊿)-$6477$∼$4305$)⪛(⩦⩻⨪$4689$)⊴($2732$≦≮≮)⪄((⨰⫟⨤$1962$)⊉≛↸$1852$↺$3482$)⨳⩥⨓(($5716$∧)⋷(⊄⩳↩$2773$))","expression":"((∃⊬1B77⊦⊿)-∃⊬194D∼∃⊬10D1)⪛(⩦⩻⨪∃⊬1251)⊴(∃⊬AAC≦≮≮)⪄((⨰⫟⨤∃⊬7AA)⊉≛↸∃⊬73C↺∃⊬D9A)⨳⩥⨓((∃⊬1654∧)⋷(⊄⩳↩∃⊬AD5))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":16036,"operation_count":15,"complexity_ratio":1069.0666666666666,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7031,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6477,"base":16},"right_expr":{"type":"numeric_atoms","value":4305,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4689,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2732,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1962,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1852,"base":16},"right_expr":{"type":"numeric_atoms","value":3482,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5716,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2773,"base":16}}}}},"used_operators":["SUmda5xLS4","uFcxV4UQCh","rysDP5nf3Z","14qkJME0vr","DyGG3AbaNP","Nsiff2A1zJ","2td37pGCOC","D4vGDi5EA2","nCS4ZIUYfx","DZ8iAZOCBD","Tw270M8GLb","7j4O788W3g","23Mk6UjR3U","z63VuFQld9","8w2t5hMYqp"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7031","layer":4},{"info":"compute unary expreesion, input=7031, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-21172","layer":3},{"info":"number node, value=6477","layer":4},{"info":"number node, value=4305","layer":4},{"info":"compute binary expreesion, left_input=6477, right_input=4305, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21172, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=4689","layer":4},{"info":"compute unary expreesion, input=4689, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4689","layer":3},{"info":"number node, value=2732","layer":4},{"info":"compute unary expreesion, input=2732, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8196","layer":3},{"info":"compute binary expreesion, left_input=4689, right_input=-8196, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1962","layer":4},{"info":"compute unary expreesion, input=1962, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1852","layer":4},{"info":"number node, value=3482","layer":4},{"info":"compute binary expreesion, left_input=1852, right_input=3482, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3482","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3482, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=5716","layer":4},{"info":"compute unary expreesion, input=5716, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=2773","layer":4},{"info":"compute unary expreesion, input=2773, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-8319","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8319, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+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":"((∃⊬1B77⊦⊿)-∃⊬194D∼∃⊬10D1)⪛(⩦⩻⨪∃⊬1251)⊴(∃⊬AAC≦≮≮)⪄((⨰⫟⨤∃⊬7AA)⊉≛↸∃⊬73C↺∃⊬D9A)⨳⩥⨓((∃⊬1654∧)⋷(⊄⩳↩∃⊬AD5))=∃⊬F8B","reverse_text":"∃⊬F8B=((∃⊬1B77⊦⊿)-∃⊬194D∼∃⊬10D1)⪛(⩦⩻⨪∃⊬1251)⊴(∃⊬AAC≦≮≮)⪄((⨰⫟⨤∃⊬7AA)⊉≛↸∃⊬73C↺∃⊬D9A)⨳⩥⨓((∃⊬1654∧)⋷(⊄⩳↩∃⊬AD5))","cot":[{"info":"∃⊬1B77⊦⊿=∃⊬-52B4","layer":3},{"info":"∃⊬194D∼∃⊬10D1=NaN","layer":3},{"info":"∃⊬-52B4-NaN=NaN","layer":2},{"info":"⩦⩻⨪∃⊬1251=∃⊬1251","layer":3},{"info":"∃⊬AAC≦≮≮=∃⊬-2004","layer":3},{"info":"∃⊬1251⊴∃⊬-2004=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"⨰⫟⨤∃⊬7AA=NaN","layer":3},{"info":"∃⊬73C↺∃⊬D9A=∃⊬D9A","layer":3},{"info":"NaN⊉≛↸∃⊬D9A=NaN","layer":2},{"info":"∃⊬1654∧=NaN","layer":3},{"info":"⊄⩳↩∃⊬AD5=∃⊬-207F","layer":3},{"info":"NaN⋷∃⊬-207F=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
{"id":358,"expression_no_base_symbol":"((⩦⩻⨪$2169$)⨽($2061$⪄$2729$)≋⫹)⨽(⊄⩳↩($3165$⋓$8933$)⪮%⊝($2073$⋥≓≎$1098$))","expression":"((⩦⩻⨪∃⊬879)⨽(∃⊬80D⪄∃⊬AA9)≋⫹)⨽(⊄⩳↩(∃⊬C5D⋓∃⊬22E5)⪮%⊝(∃⊬819⋥≓≎∃⊬44A))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":26354857,"operation_count":9,"complexity_ratio":2928317.4444444445,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2169,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2061,"base":16},"right_expr":{"type":"numeric_atoms","value":2729,"base":16}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3165,"base":16},"right_expr":{"type":"numeric_atoms","value":8933,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2073,"base":16},"right_expr":{"type":"numeric_atoms","value":1098,"base":16}}}}},"used_operators":["8HhzD0ZcuI","N41Kp7NANJ","2td37pGCOC","SUmda5xLS4","8w2t5hMYqp","IWmyXbctLI","T2fj7uvVaJ","Qy55tPpLXF"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"compute unary expreesion, input=2169, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2169","layer":3},{"info":"number node, value=2061","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=2729, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-312033","layer":3},{"info":"compute binary expreesion, left_input=2169, right_input=-312033, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13176270","layer":2},{"info":"compute unary expreesion, input=-13176270, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=26352540","layer":1},{"info":"number node, value=3165","layer":4},{"info":"number node, value=8933","layer":4},{"info":"compute binary expreesion, left_input=3165, right_input=8933, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2073","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=1098, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=156","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=156, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=316","layer":2},{"info":"compute unary expreesion, input=316, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-948","layer":1},{"info":"compute binary expreesion, left_input=26352540, right_input=-948, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":0}],"base":16,"result_base":16,"text":"((⩦⩻⨪∃⊬879)⨽(∃⊬80D⪄∃⊬AA9)≋⫹)⨽(⊄⩳↩(∃⊬C5D⋓∃⊬22E5)⪮%⊝(∃⊬819⋥≓≎∃⊬44A))=-Inf","reverse_text":"-Inf=((⩦⩻⨪∃⊬879)⨽(∃⊬80D⪄∃⊬AA9)≋⫹)⨽(⊄⩳↩(∃⊬C5D⋓∃⊬22E5)⪮%⊝(∃⊬819⋥≓≎∃⊬44A))","cot":[{"info":"⩦⩻⨪∃⊬879=∃⊬879","layer":3},{"info":"∃⊬80D⪄∃⊬AA9=∃⊬-4C2E1","layer":3},{"info":"∃⊬879⨽∃⊬-4C2E1=∃⊬-C90DCE","layer":2},{"info":"∃⊬-C90DCE≋⫹=∃⊬1921B9C","layer":1},{"info":"∃⊬C5D⋓∃⊬22E5=∃⊬0","layer":3},{"info":"∃⊬819⋥≓≎∃⊬44A=∃⊬9C","layer":3},{"info":"∃⊬0⪮%⊝∃⊬9C=∃⊬13C","layer":2},{"info":"⊄⩳↩∃⊬13C=∃⊬-3B4","layer":1},{"info":"∃⊬1921B9C⨽∃⊬-3B4=-Inf","layer":0}]}
{"id":359,"expression_no_base_symbol":"($3111$⨪↰⇹$3384$⇼⇔∾(⫛⫱⨽$1163$))↺($5142$⨳⩥⨓$2028$)≭($2814$⨽$2947$)↺($2088$⨸⪁$4613$⪨≂$2877$⫸⊐$1652$)≧⫂∧(↯⪼$4198$)⇷$4381$⪮%⊝$1071$","expression":"(∃⊬C27⨪↰⇹∃⊬D38⇼⇔∾(⫛⫱⨽∃⊬48B))↺(∃⊬1416⨳⩥⨓∃⊬7EC)≭(∃⊬AFE⨽∃⊬B83)↺(∃⊬828⨸⪁∃⊬1205⪨≂∃⊬B3D⫸⊐∃⊬674)≧⫂∧(↯⪼∃⊬1066)⇷∃⊬111D⪮%⊝∃⊬42F","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7739,"operation_count":15,"complexity_ratio":515.9333333333333,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3111,"base":16},"right_expr":{"type":"numeric_atoms","value":3384,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1163,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5142,"base":16},"right_expr":{"type":"numeric_atoms","value":2028,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2814,"base":16},"right_expr":{"type":"numeric_atoms","value":2947,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2088,"base":16},"right_expr":{"type":"numeric_atoms","value":4613,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2877,"base":16},"right_expr":{"type":"numeric_atoms","value":1652,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4198,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4381,"base":16},"right_expr":{"type":"numeric_atoms","value":1071,"base":16}}}}},"used_operators":["7j4O788W3g","tifHPKVTfV","tmPS8pqC7x","DlLNRPXxWL","rxpJgHHUmx","nCS4ZIUYfx","8HhzD0ZcuI","Ph9nP6C5qx","sdazOOVcIp","g55IO6H4Gj","mqXw5SEYmG","mp7IySMOzn","8jW3W4yZS5","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬4513","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3111","layer":4},{"info":"number node, value=3384","layer":4},{"info":"compute binary expreesion, left_input=3111, right_input=3384, 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=3111","layer":3},{"info":"number node, value=1163","layer":4},{"info":"compute unary expreesion, input=1163, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3111, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3111","layer":2},{"info":"number node, value=5142","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=5142, right_input=2028, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3114","layer":3},{"info":"number node, value=2814","layer":4},{"info":"number node, value=2947","layer":4},{"info":"compute binary expreesion, left_input=2814, right_input=2947, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23763315","layer":3},{"info":"compute binary expreesion, left_input=-3114, right_input=-23763315, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3111, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=2088","layer":4},{"info":"number node, value=4613","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=4613, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13402","layer":3},{"info":"number node, value=2877","layer":4},{"info":"number node, value=1652","layer":4},{"info":"compute binary expreesion, left_input=2877, right_input=1652, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6483","layer":3},{"info":"compute binary expreesion, left_input=13402, right_input=6483, 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=13940","layer":2},{"info":"number node, value=4198","layer":4},{"info":"compute unary expreesion, input=4198, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=4381","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=4381, right_input=1071, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9078","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=9078, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18156","layer":2},{"info":"compute binary expreesion, left_input=13940, right_input=18156, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=17683","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=17683, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=17683","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C27⨪↰⇹∃⊬D38⇼⇔∾(⫛⫱⨽∃⊬48B))↺(∃⊬1416⨳⩥⨓∃⊬7EC)≭(∃⊬AFE⨽∃⊬B83)↺(∃⊬828⨸⪁∃⊬1205⪨≂∃⊬B3D⫸⊐∃⊬674)≧⫂∧(↯⪼∃⊬1066)⇷∃⊬111D⪮%⊝∃⊬42F=∃⊬4513","reverse_text":"∃⊬4513=(∃⊬C27⨪↰⇹∃⊬D38⇼⇔∾(⫛⫱⨽∃⊬48B))↺(∃⊬1416⨳⩥⨓∃⊬7EC)≭(∃⊬AFE⨽∃⊬B83)↺(∃⊬828⨸⪁∃⊬1205⪨≂∃⊬B3D⫸⊐∃⊬674)≧⫂∧(↯⪼∃⊬1066)⇷∃⊬111D⪮%⊝∃⊬42F","cot":[{"info":"∃⊬C27⨪↰⇹∃⊬D38=∃⊬C27","layer":3},{"info":"⫛⫱⨽∃⊬48B=∃⊬0","layer":3},{"info":"∃⊬C27⇼⇔∾∃⊬0=∃⊬-C27","layer":2},{"info":"∃⊬1416⨳⩥⨓∃⊬7EC=∃⊬-C2A","layer":3},{"info":"∃⊬AFE⨽∃⊬B83=∃⊬-16A9973","layer":3},{"info":"∃⊬-C2A≭∃⊬-16A9973=NaN","layer":2},{"info":"∃⊬-C27↺NaN=NaN","layer":1},{"info":"∃⊬828⨸⪁∃⊬1205=∃⊬345A","layer":3},{"info":"∃⊬B3D⫸⊐∃⊬674=∃⊬1953","layer":3},{"info":"∃⊬345A⪨≂∃⊬1953=∃⊬3674","layer":2},{"info":"↯⪼∃⊬1066=∃⊬-15","layer":3},{"info":"∃⊬111D⪮%⊝∃⊬42F=∃⊬2376","layer":3},{"info":"∃⊬-15⇷∃⊬2376=∃⊬46EC","layer":2},{"info":"∃⊬3674≧⫂∧∃⊬46EC=∃⊬4513","layer":1},{"info":"NaN↺∃⊬4513=∃⊬4513","layer":0}]}
{"id":360,"expression_no_base_symbol":"((∥⊫(≦∁$1819$))⪨≂$2557$⫥∨⫟$1419$⫸⊐(↥$1357$))⨽(≦∁$8164$⨐⩸⫘$1901$)⩷∴(($1219$⩨$1302$)↙(⊥$1241$))","expression":"((∥⊫(≦∁∃⊬71B))⪨≂∃⊬9FD⫥∨⫟∃⊬58B⫸⊐(↥∃⊬54D))⨽(≦∁∃⊬1FE4⨐⩸⫘∃⊬76D)⩷∴((∃⊬4C3⩨∃⊬516)↙(⊥∃⊬4D9))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":218,"operation_count":13,"complexity_ratio":16.76923076923077,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1819,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2557,"base":16},"right_expr":{"type":"numeric_atoms","value":1419,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1357,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8164,"base":16},"right_expr":{"type":"numeric_atoms","value":1901,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1219,"base":16},"right_expr":{"type":"numeric_atoms","value":1302,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1241,"base":16}}}}},"used_operators":["8HhzD0ZcuI","sdazOOVcIp","P8v4zCKN1o","9ICcGScMcE","mqXw5SEYmG","KYD54nUTWz","A8NUZmVepG","9FxExcQeMw","fu6greOZ01","yyfyN0ffXY","2DlMacCsIx","Q3PJZHRvZv"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1819","layer":4},{"info":"compute unary expreesion, input=1819, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1819","layer":3},{"info":"compute unary expreesion, input=1819, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2687","layer":2},{"info":"number node, value=2557","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=2557, right_input=1419, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1357","layer":4},{"info":"compute unary expreesion, input=1357, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=31","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=31, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2687, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=8164","layer":4},{"info":"number node, value=1901","layer":4},{"info":"compute binary expreesion, left_input=8164, right_input=1901, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"number node, value=1219","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1219, right_input=1302, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1241","layer":4},{"info":"compute unary expreesion, input=1241, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∥⊫(≦∁∃⊬71B))⪨≂∃⊬9FD⫥∨⫟∃⊬58B⫸⊐(↥∃⊬54D))⨽(≦∁∃⊬1FE4⨐⩸⫘∃⊬76D)⩷∴((∃⊬4C3⩨∃⊬516)↙(⊥∃⊬4D9))=NaN","reverse_text":"NaN=((∥⊫(≦∁∃⊬71B))⪨≂∃⊬9FD⫥∨⫟∃⊬58B⫸⊐(↥∃⊬54D))⨽(≦∁∃⊬1FE4⨐⩸⫘∃⊬76D)⩷∴((∃⊬4C3⩨∃⊬516)↙(⊥∃⊬4D9))","cot":[{"info":"≦∁∃⊬71B=∃⊬71B","layer":3},{"info":"∥⊫∃⊬71B=∃⊬A7F","layer":2},{"info":"∃⊬9FD⫥∨⫟∃⊬58B=NaN","layer":3},{"info":"↥∃⊬54D=∃⊬1F","layer":3},{"info":"NaN⫸⊐∃⊬1F=NaN","layer":2},{"info":"∃⊬A7F⪨≂NaN=NaN","layer":1},{"info":"∃⊬1FE4⨐⩸⫘∃⊬76D=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"∃⊬4C3⩨∃⊬516=∃⊬-3","layer":3},{"info":"⊥∃⊬4D9=NaN","layer":3},{"info":"∃⊬-3↙NaN=∃⊬-3","layer":2},{"info":"NaN⩷∴∃⊬-3=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":361,"expression_no_base_symbol":"((+⊝⨔($3547$⋳⪒$8304$))⇷($1032$⫌⩹⨱)≹⇙⪍($4549$⨸⪁$2731$))⩠","expression":"((+⊝⨔(∃⊬DDB⋳⪒∃⊬2070))⇷(∃⊬408⫌⩹⨱)≹⇙⪍(∃⊬11C5⨸⪁∃⊬AAB))⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21370,"operation_count":7,"complexity_ratio":3052.8571428571427,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3547,"base":16},"right_expr":{"type":"numeric_atoms","value":8304,"base":16}}},"right_expr":{"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":4549,"base":16},"right_expr":{"type":"numeric_atoms","value":2731,"base":16}}}}},"used_operators":["sJAwomhLZr","mp7IySMOzn","DhbWaqg5eL","12rbrZMWeM","AHs5Up7iyr","EBcxylXtPf","g55IO6H4Gj"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3547","layer":4},{"info":"number node, value=8304","layer":4},{"info":"compute binary expreesion, left_input=3547, right_input=8304, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1497","layer":3},{"info":"compute unary expreesion, input=-1497, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3465","layer":3},{"info":"number node, value=4549","layer":4},{"info":"number node, value=2731","layer":4},{"info":"compute binary expreesion, left_input=4549, right_input=2731, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14560","layer":3},{"info":"compute binary expreesion, left_input=3465, right_input=14560, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((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":"((+⊝⨔(∃⊬DDB⋳⪒∃⊬2070))⇷(∃⊬408⫌⩹⨱)≹⇙⪍(∃⊬11C5⨸⪁∃⊬AAB))⩠=NaN","reverse_text":"NaN=((+⊝⨔(∃⊬DDB⋳⪒∃⊬2070))⇷(∃⊬408⫌⩹⨱)≹⇙⪍(∃⊬11C5⨸⪁∃⊬AAB))⩠","cot":[{"info":"∃⊬DDB⋳⪒∃⊬2070=∃⊬-5D9","layer":3},{"info":"+⊝⨔∃⊬-5D9=∃⊬5F2","layer":2},{"info":"∃⊬408⫌⩹⨱=∃⊬D89","layer":3},{"info":"∃⊬11C5⨸⪁∃⊬AAB=∃⊬38E0","layer":3},{"info":"∃⊬D89≹⇙⪍∃⊬38E0=NaN","layer":2},{"info":"∃⊬5F2⇷NaN=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":362,"expression_no_base_symbol":"((≦∁$2163$)≭$6171$⪘⫢$1368$⨁⊸⫻)⇼⇔∾(⪲⇎$5744$⋝⋈⪟$4531$)⫥∨⫟($9303$⪛$5948$∲⫓$5300$⨟⋌⩍$1029$)","expression":"((≦∁∃⊬873)≭∃⊬181B⪘⫢∃⊬558⨁⊸⫻)⇼⇔∾(⪲⇎∃⊬1670⋝⋈⪟∃⊬11B3)⫥∨⫟(∃⊬2457⪛∃⊬173C∲⫓∃⊬14B4⨟⋌⩍∃⊬405)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":186,"operation_count":11,"complexity_ratio":16.90909090909091,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2163,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6171,"base":16},"right_expr":{"type":"numeric_atoms","value":1368,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5744,"base":16},"right_expr":{"type":"numeric_atoms","value":4531,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":9303,"base":16},"right_expr":{"type":"numeric_atoms","value":5948,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":5300,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}}}}},"used_operators":["tifHPKVTfV","glklzrTFfD","rxpJgHHUmx","9ICcGScMcE","oacrs7FA3X","KYD54nUTWz","XPYlsWDdGa","2DDjHMKMc0","i8ToyICDmI","uFcxV4UQCh","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2163","layer":4},{"info":"compute unary expreesion, input=2163, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2163","layer":3},{"info":"number node, value=6171","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=6171, right_input=1368, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12218","layer":3},{"info":"compute binary expreesion, left_input=2163, right_input=12218, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=5744","layer":4},{"info":"number node, value=4531","layer":4},{"info":"compute binary expreesion, left_input=5744, right_input=4531, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5744","layer":3},{"info":"compute unary expreesion, input=5744, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11488","layer":2},{"info":"number node, value=9303","layer":4},{"info":"number node, value=5948","layer":4},{"info":"compute binary expreesion, left_input=9303, right_input=5948, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3355","layer":3},{"info":"number node, value=5300","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=5300, right_input=1029, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3355, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=11488, right_input=nan, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((≦∁∃⊬873)≭∃⊬181B⪘⫢∃⊬558⨁⊸⫻)⇼⇔∾(⪲⇎∃⊬1670⋝⋈⪟∃⊬11B3)⫥∨⫟(∃⊬2457⪛∃⊬173C∲⫓∃⊬14B4⨟⋌⩍∃⊬405)=NaN","reverse_text":"NaN=((≦∁∃⊬873)≭∃⊬181B⪘⫢∃⊬558⨁⊸⫻)⇼⇔∾(⪲⇎∃⊬1670⋝⋈⪟∃⊬11B3)⫥∨⫟(∃⊬2457⪛∃⊬173C∲⫓∃⊬14B4⨟⋌⩍∃⊬405)","cot":[{"info":"≦∁∃⊬873=∃⊬873","layer":3},{"info":"∃⊬181B⪘⫢∃⊬558=∃⊬2FBA","layer":3},{"info":"∃⊬873≭∃⊬2FBA=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"∃⊬1670⋝⋈⪟∃⊬11B3=∃⊬1670","layer":3},{"info":"⪲⇎∃⊬1670=∃⊬2CE0","layer":2},{"info":"∃⊬2457⪛∃⊬173C=∃⊬D1B","layer":3},{"info":"∃⊬14B4⨟⋌⩍∃⊬405=NaN","layer":3},{"info":"∃⊬D1B∲⫓NaN=NaN","layer":2},{"info":"∃⊬2CE0⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":363,"expression_no_base_symbol":"(($5015$⨳⩥⨓$1438$↺$3347$+⇶⊼$9051$)⨎(↽≂($8904$⪒$5235$)))∑⇟⊟($2780$⇷$2508$+⇶⊼($1000$⩚⊴⇥$4657$))∀⇚≩((↥$1763$)↺$1969$∀⇚≩$2475$)","expression":"((∃⊬1397⨳⩥⨓∃⊬59E↺∃⊬D13+⇶⊼∃⊬235B)⨎(↽≂(∃⊬22C8⪒∃⊬1473)))∑⇟⊟(∃⊬ADC⇷∃⊬9CC+⇶⊼(∃⊬3E8⩚⊴⇥∃⊬1231))∀⇚≩((↥∃⊬6E3)↺∃⊬7B1∀⇚≩∃⊬9AB)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":52764,"operation_count":14,"complexity_ratio":3768.8571428571427,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5015,"base":16},"right_expr":{"type":"numeric_atoms","value":1438,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3347,"base":16},"right_expr":{"type":"numeric_atoms","value":9051,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8904,"base":16},"right_expr":{"type":"numeric_atoms","value":5235,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2780,"base":16},"right_expr":{"type":"numeric_atoms","value":2508,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1000,"base":16},"right_expr":{"type":"numeric_atoms","value":4657,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1763,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1969,"base":16},"right_expr":{"type":"numeric_atoms","value":2475,"base":16}}}}},"used_operators":["U7g4x0WXJJ","rJVOvQCfKK","7j4O788W3g","nCS4ZIUYfx","TpPTUOHfaN","u6S6b8DprG","f6k1SAg4EE","LRNGc0VcxI","mp7IySMOzn","NTOWxs364D","A8NUZmVepG"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5015","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=5015, right_input=1438, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3577","layer":3},{"info":"number node, value=3347","layer":4},{"info":"number node, value=9051","layer":4},{"info":"compute binary expreesion, left_input=3347, right_input=9051, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3577, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=8904","layer":4},{"info":"number node, value=5235","layer":4},{"info":"compute binary expreesion, left_input=8904, right_input=5235, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-14139","layer":3},{"info":"compute unary expreesion, input=-14139, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=28278","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=28278, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=28278","layer":1},{"info":"number node, value=2780","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=2780, right_input=2508, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5016","layer":3},{"info":"number node, value=1000","layer":4},{"info":"number node, value=4657","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=4657, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5778","layer":3},{"info":"compute binary expreesion, left_input=5016, right_input=-5778, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1763","layer":4},{"info":"compute unary expreesion, input=1763, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"number node, value=1969","layer":4},{"info":"number node, value=2475","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=2475, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=29, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=28278, 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":"((∃⊬1397⨳⩥⨓∃⊬59E↺∃⊬D13+⇶⊼∃⊬235B)⨎(↽≂(∃⊬22C8⪒∃⊬1473)))∑⇟⊟(∃⊬ADC⇷∃⊬9CC+⇶⊼(∃⊬3E8⩚⊴⇥∃⊬1231))∀⇚≩((↥∃⊬6E3)↺∃⊬7B1∀⇚≩∃⊬9AB)=NaN","reverse_text":"NaN=((∃⊬1397⨳⩥⨓∃⊬59E↺∃⊬D13+⇶⊼∃⊬235B)⨎(↽≂(∃⊬22C8⪒∃⊬1473)))∑⇟⊟(∃⊬ADC⇷∃⊬9CC+⇶⊼(∃⊬3E8⩚⊴⇥∃⊬1231))∀⇚≩((↥∃⊬6E3)↺∃⊬7B1∀⇚≩∃⊬9AB)","cot":[{"info":"∃⊬1397⨳⩥⨓∃⊬59E=∃⊬-DF9","layer":3},{"info":"∃⊬D13+⇶⊼∃⊬235B=NaN","layer":3},{"info":"∃⊬-DF9↺NaN=NaN","layer":2},{"info":"∃⊬22C8⪒∃⊬1473=∃⊬-373B","layer":3},{"info":"↽≂∃⊬-373B=∃⊬6E76","layer":2},{"info":"NaN⨎∃⊬6E76=∃⊬6E76","layer":1},{"info":"∃⊬ADC⇷∃⊬9CC=∃⊬1398","layer":3},{"info":"∃⊬3E8⩚⊴⇥∃⊬1231=∃⊬-1692","layer":3},{"info":"∃⊬1398+⇶⊼∃⊬-1692=NaN","layer":2},{"info":"↥∃⊬6E3=∃⊬1D","layer":3},{"info":"∃⊬7B1∀⇚≩∃⊬9AB=NaN","layer":3},{"info":"∃⊬1D↺NaN=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬6E76∑⇟⊟NaN=NaN","layer":0}]}
{"id":364,"expression_no_base_symbol":"(⊙↵-($2259$⪛$2547$))⊭↱(∂($2558$⪄$3237$))⊭↱($2520$⪄$5350$)⨎($2133$⪒$1279$)⪄(⨰⫟⨤$3432$)⨐⩸⫘$1261$⩷∴$6549$","expression":"(⊙↵-(∃⊬8D3⪛∃⊬9F3))⊭↱(∂(∃⊬9FE⪄∃⊬CA5))⊭↱(∃⊬9D8⪄∃⊬14E6)⨎(∃⊬855⪒∃⊬4FF)⪄(⨰⫟⨤∃⊬D68)⨐⩸⫘∃⊬4ED⩷∴∃⊬1995","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":15919,"operation_count":13,"complexity_ratio":1224.5384615384614,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2259,"base":16},"right_expr":{"type":"numeric_atoms","value":2547,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2558,"base":16},"right_expr":{"type":"numeric_atoms","value":3237,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2520,"base":16},"right_expr":{"type":"numeric_atoms","value":5350,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2133,"base":16},"right_expr":{"type":"numeric_atoms","value":1279,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3432,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1261,"base":16},"right_expr":{"type":"numeric_atoms","value":6549,"base":16}}}}},"used_operators":["COABgblf1C","oWn0xqSxBt","uFcxV4UQCh","Uaa54Peajs","SUmda5xLS4","rJVOvQCfKK","f6k1SAg4EE","fu6greOZ01","Tw270M8GLb","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"∃⊬-178567","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2259","layer":4},{"info":"number node, value=2547","layer":4},{"info":"compute binary expreesion, left_input=2259, right_input=2547, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2259","layer":3},{"info":"compute unary expreesion, input=2259, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2558","layer":4},{"info":"number node, value=3237","layer":4},{"info":"compute binary expreesion, left_input=2558, right_input=3237, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-387621","layer":3},{"info":"compute unary expreesion, input=-387621, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=387357","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=387357, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=774721","layer":1},{"info":"number node, value=2520","layer":4},{"info":"number node, value=5350","layer":4},{"info":"compute binary expreesion, left_input=2520, right_input=5350, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-390449","layer":3},{"info":"number node, value=2133","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=1279, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3412","layer":3},{"info":"compute binary expreesion, left_input=-390449, right_input=-3412, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3412","layer":2},{"info":"number node, value=3432","layer":4},{"info":"compute unary expreesion, input=3432, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1261","layer":4},{"info":"number node, value=6549","layer":4},{"info":"compute binary expreesion, left_input=1261, right_input=6549, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10608","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10608, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3412, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=774721, right_input=3979, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1541479","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-(∃⊬8D3⪛∃⊬9F3))⊭↱(∂(∃⊬9FE⪄∃⊬CA5))⊭↱(∃⊬9D8⪄∃⊬14E6)⨎(∃⊬855⪒∃⊬4FF)⪄(⨰⫟⨤∃⊬D68)⨐⩸⫘∃⊬4ED⩷∴∃⊬1995=∃⊬-178567","reverse_text":"∃⊬-178567=(⊙↵-(∃⊬8D3⪛∃⊬9F3))⊭↱(∂(∃⊬9FE⪄∃⊬CA5))⊭↱(∃⊬9D8⪄∃⊬14E6)⨎(∃⊬855⪒∃⊬4FF)⪄(⨰⫟⨤∃⊬D68)⨐⩸⫘∃⊬4ED⩷∴∃⊬1995","cot":[{"info":"∃⊬8D3⪛∃⊬9F3=∃⊬8D3","layer":3},{"info":"⊙↵-∃⊬8D3=∃⊬-1","layer":2},{"info":"∃⊬9FE⪄∃⊬CA5=∃⊬-5EA25","layer":3},{"info":"∂∃⊬-5EA25=∃⊬5E91D","layer":2},{"info":"∃⊬-1⊭↱∃⊬5E91D=∃⊬BD241","layer":1},{"info":"∃⊬9D8⪄∃⊬14E6=∃⊬-5F531","layer":3},{"info":"∃⊬855⪒∃⊬4FF=∃⊬-D54","layer":3},{"info":"∃⊬-5F531⨎∃⊬-D54=∃⊬-D54","layer":2},{"info":"⨰⫟⨤∃⊬D68=NaN","layer":3},{"info":"∃⊬4ED⩷∴∃⊬1995=∃⊬-2970","layer":3},{"info":"NaN⨐⩸⫘∃⊬-2970=NaN","layer":2},{"info":"∃⊬-D54⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬BD241⊭↱∃⊬F8B=∃⊬-178567","layer":0}]}
{"id":365,"expression_no_base_symbol":"((⨑⩽⪐(⨞⊢$3334$))⊭↱(⫓⪴$1155$)≧⫂∧($5238$⊭↱$4422$))⨰(($4247$⩚⊴⇥$1529$⫡⨏$5412$∼$2690$)⇼⇔∾($2161$⨸⪁$5534$)∑⇟⊟(+⊝⨔$1941$))","expression":"((⨑⩽⪐(⨞⊢∃⊬D06))⊭↱(⫓⪴∃⊬483)≧⫂∧(∃⊬1476⊭↱∃⊬1146))⨰((∃⊬1097⩚⊴⇥∃⊬5F9⫡⨏∃⊬1524∼∃⊬A82)⇼⇔∾(∃⊬871⨸⪁∃⊬159E)∑⇟⊟(+⊝⨔∃⊬795))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1348,"operation_count":14,"complexity_ratio":96.28571428571429,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3334,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1155,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5238,"base":16},"right_expr":{"type":"numeric_atoms","value":4422,"base":16}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4247,"base":16},"right_expr":{"type":"numeric_atoms","value":1529,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5412,"base":16},"right_expr":{"type":"numeric_atoms","value":2690,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2161,"base":16},"right_expr":{"type":"numeric_atoms","value":5534,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1941,"base":16}}}}},"used_operators":["eewbuw0ToL","COABgblf1C","AF7qkfDlqP","xUOZtlo3hN","Ph9nP6C5qx","eLxqMNBOBk","tifHPKVTfV","QMFrweE19q","NTOWxs364D","DyGG3AbaNP","U7g4x0WXJJ","g55IO6H4Gj","DhbWaqg5eL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3334","layer":4},{"info":"compute unary expreesion, input=3334, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3508","layer":3},{"info":"compute unary expreesion, input=-3508, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=7805","layer":2},{"info":"number node, value=1155","layer":4},{"info":"compute unary expreesion, input=1155, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1334025","layer":3},{"info":"number node, value=5238","layer":4},{"info":"number node, value=4422","layer":4},{"info":"compute binary expreesion, left_input=5238, right_input=4422, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1627","layer":3},{"info":"compute binary expreesion, left_input=1334025, right_input=-1627, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1335652","layer":2},{"info":"compute binary expreesion, left_input=7805, right_input=1335652, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2655699","layer":1},{"info":"number node, value=4247","layer":4},{"info":"number node, value=1529","layer":4},{"info":"compute binary expreesion, left_input=4247, right_input=1529, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5897","layer":3},{"info":"number node, value=5412","layer":4},{"info":"number node, value=2690","layer":4},{"info":"compute binary expreesion, left_input=5412, right_input=2690, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5897, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=2161","layer":4},{"info":"number node, value=5534","layer":4},{"info":"compute binary expreesion, left_input=2161, right_input=5534, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15390","layer":3},{"info":"number node, value=1941","layer":4},{"info":"compute unary expreesion, input=1941, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=15390, right_input=1522, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2655699, 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":"((⨑⩽⪐(⨞⊢∃⊬D06))⊭↱(⫓⪴∃⊬483)≧⫂∧(∃⊬1476⊭↱∃⊬1146))⨰((∃⊬1097⩚⊴⇥∃⊬5F9⫡⨏∃⊬1524∼∃⊬A82)⇼⇔∾(∃⊬871⨸⪁∃⊬159E)∑⇟⊟(+⊝⨔∃⊬795))=NaN","reverse_text":"NaN=((⨑⩽⪐(⨞⊢∃⊬D06))⊭↱(⫓⪴∃⊬483)≧⫂∧(∃⊬1476⊭↱∃⊬1146))⨰((∃⊬1097⩚⊴⇥∃⊬5F9⫡⨏∃⊬1524∼∃⊬A82)⇼⇔∾(∃⊬871⨸⪁∃⊬159E)∑⇟⊟(+⊝⨔∃⊬795))","cot":[{"info":"⨞⊢∃⊬D06=∃⊬-DB4","layer":3},{"info":"⨑⩽⪐∃⊬-DB4=∃⊬1E7D","layer":2},{"info":"⫓⪴∃⊬483=∃⊬145B09","layer":3},{"info":"∃⊬1476⊭↱∃⊬1146=∃⊬-65B","layer":3},{"info":"∃⊬145B09≧⫂∧∃⊬-65B=∃⊬146164","layer":2},{"info":"∃⊬1E7D⊭↱∃⊬146164=∃⊬2885D3","layer":1},{"info":"∃⊬1097⩚⊴⇥∃⊬5F9=∃⊬-1709","layer":3},{"info":"∃⊬1524∼∃⊬A82=NaN","layer":3},{"info":"∃⊬-1709⫡⨏NaN=NaN","layer":2},{"info":"∃⊬871⨸⪁∃⊬159E=∃⊬3C1E","layer":3},{"info":"+⊝⨔∃⊬795=∃⊬5F2","layer":3},{"info":"∃⊬3C1E∑⇟⊟∃⊬5F2=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬2885D3⨰NaN=NaN","layer":0}]}
{"id":366,"expression_no_base_symbol":"(($1019$⨐⩸⫘$4824$)⨎($1759$≋⫹)⨵⪆((⫛⫱⨽$1600$)⨁⊸⫻))%($2982$⨰$3340$⨳⩥⨓$5184$≧⫂∧$4659$)⨰($1964$⪛$1006$⇼⇔∾(⊥$1758$))","expression":"((∃⊬3FB⨐⩸⫘∃⊬12D8)⨎(∃⊬6DF≋⫹)⨵⪆((⫛⫱⨽∃⊬640)⨁⊸⫻))%(∃⊬BA6⨰∃⊬D0C⨳⩥⨓∃⊬1440≧⫂∧∃⊬1233)⨰(∃⊬7AC⪛∃⊬3EE⇼⇔∾(⊥∃⊬6DE))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1455,"operation_count":14,"complexity_ratio":103.92857142857143,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1019,"base":16},"right_expr":{"type":"numeric_atoms","value":4824,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1759,"base":16}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1600,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2982,"base":16},"right_expr":{"type":"numeric_atoms","value":3340,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5184,"base":16},"right_expr":{"type":"numeric_atoms","value":4659,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1964,"base":16},"right_expr":{"type":"numeric_atoms","value":1006,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1758,"base":16}}}}},"used_operators":["k8jYdgA6NY","2DQ55sFlQl","rJVOvQCfKK","fu6greOZ01","N41Kp7NANJ","glklzrTFfD","DlLNRPXxWL","eewbuw0ToL","nCS4ZIUYfx","Ph9nP6C5qx","tifHPKVTfV","uFcxV4UQCh","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1019","layer":4},{"info":"number node, value=4824","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=4824, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3518","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3518, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-3518","layer":2},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3518, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2982","layer":4},{"info":"number node, value=3340","layer":4},{"info":"compute binary expreesion, left_input=2982, right_input=3340, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-348","layer":3},{"info":"number node, value=5184","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=4659, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4186","layer":3},{"info":"compute binary expreesion, left_input=-348, right_input=4186, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4534","layer":2},{"info":"number node, value=1964","layer":4},{"info":"number node, value=1006","layer":4},{"info":"compute binary expreesion, left_input=1964, right_input=1006, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=958","layer":3},{"info":"number node, value=1758","layer":4},{"info":"compute unary expreesion, input=1758, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=958, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4534, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬3FB⨐⩸⫘∃⊬12D8)⨎(∃⊬6DF≋⫹)⨵⪆((⫛⫱⨽∃⊬640)⨁⊸⫻))%(∃⊬BA6⨰∃⊬D0C⨳⩥⨓∃⊬1440≧⫂∧∃⊬1233)⨰(∃⊬7AC⪛∃⊬3EE⇼⇔∾(⊥∃⊬6DE))=NaN","reverse_text":"NaN=((∃⊬3FB⨐⩸⫘∃⊬12D8)⨎(∃⊬6DF≋⫹)⨵⪆((⫛⫱⨽∃⊬640)⨁⊸⫻))%(∃⊬BA6⨰∃⊬D0C⨳⩥⨓∃⊬1440≧⫂∧∃⊬1233)⨰(∃⊬7AC⪛∃⊬3EE⇼⇔∾(⊥∃⊬6DE))","cot":[{"info":"∃⊬3FB⨐⩸⫘∃⊬12D8=NaN","layer":3},{"info":"∃⊬6DF≋⫹=∃⊬-DBE","layer":3},{"info":"NaN⨎∃⊬-DBE=∃⊬-DBE","layer":2},{"info":"⫛⫱⨽∃⊬640=∃⊬0","layer":3},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":2},{"info":"∃⊬-DBE⨵⪆∃⊬0=∃⊬A0","layer":1},{"info":"∃⊬BA6⨰∃⊬D0C=∃⊬-15C","layer":3},{"info":"∃⊬1440≧⫂∧∃⊬1233=∃⊬105A","layer":3},{"info":"∃⊬-15C⨳⩥⨓∃⊬105A=∃⊬11B6","layer":2},{"info":"∃⊬7AC⪛∃⊬3EE=∃⊬3BE","layer":3},{"info":"⊥∃⊬6DE=NaN","layer":3},{"info":"∃⊬3BE⇼⇔∾NaN=NaN","layer":2},{"info":"∃⊬11B6⨰NaN=NaN","layer":1},{"info":"∃⊬A0%NaN=NaN","layer":0}]}
{"id":367,"expression_no_base_symbol":"⨞⊢(⋗⩬⋾($1959$↺$2997$∲⫓$1574$⨪↰⇹$5343$))","expression":"⨞⊢(⋗⩬⋾(∃⊬7A7↺∃⊬BB5∲⫓∃⊬626⨪↰⇹∃⊬14DF))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1583,"operation_count":5,"complexity_ratio":316.6,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1959,"base":16},"right_expr":{"type":"numeric_atoms","value":2997,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1574,"base":16},"right_expr":{"type":"numeric_atoms","value":5343,"base":16}}}}},"used_operators":["xUOZtlo3hN","DpFCA1CohY","i8ToyICDmI","7j4O788W3g","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"∃⊬-AE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1959","layer":4},{"info":"number node, value=2997","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=2997, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2997","layer":3},{"info":"number node, value=1574","layer":4},{"info":"number node, value=5343","layer":4},{"info":"compute binary expreesion, left_input=1574, right_input=5343, 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=1574","layer":3},{"info":"compute binary expreesion, left_input=2997, right_input=1574, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(⋗⩬⋾(∃⊬7A7↺∃⊬BB5∲⫓∃⊬626⨪↰⇹∃⊬14DF))=∃⊬-AE","reverse_text":"∃⊬-AE=⨞⊢(⋗⩬⋾(∃⊬7A7↺∃⊬BB5∲⫓∃⊬626⨪↰⇹∃⊬14DF))","cot":[{"info":"∃⊬7A7↺∃⊬BB5=∃⊬BB5","layer":3},{"info":"∃⊬626⨪↰⇹∃⊬14DF=∃⊬626","layer":3},{"info":"∃⊬BB5∲⫓∃⊬626=∃⊬0","layer":2},{"info":"⋗⩬⋾∃⊬0=∃⊬0","layer":1},{"info":"⨞⊢∃⊬0=∃⊬-AE","layer":0}]}
{"id":368,"expression_no_base_symbol":"(⪲⇎(⨈⫕$2861$))↙(⨞⊢$4655$≭$2548$)⪄(⪝⪂⫅((⊙↵-$1099$)%(+⊝⨔$2616$)))","expression":"(⪲⇎(⨈⫕∃⊬B2D))↙(⨞⊢∃⊬122F≭∃⊬9F4)⪄(⪝⪂⫅((⊙↵-∃⊬44B)%(+⊝⨔∃⊬A38)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1790,"operation_count":10,"complexity_ratio":179.0,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2861,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4655,"base":16},"right_expr":{"type":"numeric_atoms","value":2548,"base":16}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1099,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2616,"base":16}}}}},"used_operators":["SUmda5xLS4","yyfyN0ffXY","XPYlsWDdGa","megm06wKyl","xUOZtlo3hN","rxpJgHHUmx","XTarYq4gQB","k8jYdgA6NY","oWn0xqSxBt","DhbWaqg5eL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2861","layer":4},{"info":"compute unary expreesion, input=2861, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":2},{"info":"number node, value=4655","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=2548, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-42","layer":1},{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2616","layer":4},{"info":"compute unary expreesion, input=2616, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1522, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1521","layer":2},{"info":"compute unary expreesion, input=1521, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-223587","layer":1},{"info":"compute binary expreesion, left_input=-42, right_input=-223587, 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":"(⪲⇎(⨈⫕∃⊬B2D))↙(⨞⊢∃⊬122F≭∃⊬9F4)⪄(⪝⪂⫅((⊙↵-∃⊬44B)%(+⊝⨔∃⊬A38)))=∃⊬F8B","reverse_text":"∃⊬F8B=(⪲⇎(⨈⫕∃⊬B2D))↙(⨞⊢∃⊬122F≭∃⊬9F4)⪄(⪝⪂⫅((⊙↵-∃⊬44B)%(+⊝⨔∃⊬A38)))","cot":[{"info":"⨈⫕∃⊬B2D=∃⊬-15","layer":3},{"info":"⪲⇎∃⊬-15=∃⊬-2A","layer":2},{"info":"∃⊬122F≭∃⊬9F4=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"∃⊬-2A↙NaN=∃⊬-2A","layer":1},{"info":"⊙↵-∃⊬44B=∃⊬-1","layer":3},{"info":"+⊝⨔∃⊬A38=∃⊬5F2","layer":3},{"info":"∃⊬-1%∃⊬5F2=∃⊬5F1","layer":2},{"info":"⪝⪂⫅∃⊬5F1=∃⊬-36963","layer":1},{"info":"∃⊬-2A⪄∃⊬-36963=∃⊬F8B","layer":0}]}
{"id":369,"expression_no_base_symbol":"((($8461$≦≮≮)⪄($7270$%$6380$))⫸⊐(($1063$⪒$1851$)⩨($5087$+$1187$)))⨓(∂((↽≂$2414$)⪒(≦∁$1644$)))","expression":"(((∃⊬210D≦≮≮)⪄(∃⊬1C66%∃⊬18EC))⫸⊐((∃⊬427⪒∃⊬73B)⩨(∃⊬13DF+∃⊬4A3)))⨓(∂((↽≂∃⊬96E)⪒(≦∁∃⊬66C)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":145,"operation_count":12,"complexity_ratio":12.083333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":8461,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7270,"base":16},"right_expr":{"type":"numeric_atoms","value":6380,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1063,"base":16},"right_expr":{"type":"numeric_atoms","value":1851,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5087,"base":16},"right_expr":{"type":"numeric_atoms","value":1187,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2414,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1644,"base":16}}}}},"used_operators":["3ViojmjbAp","mqXw5SEYmG","SUmda5xLS4","D4vGDi5EA2","k8jYdgA6NY","2DlMacCsIx","f6k1SAg4EE","W4YGzv6Whe","Uaa54Peajs","u6S6b8DprG","9ICcGScMcE"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8461","layer":4},{"info":"compute unary expreesion, input=8461, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-25383","layer":3},{"info":"number node, value=7270","layer":4},{"info":"number node, value=6380","layer":4},{"info":"compute binary expreesion, left_input=7270, right_input=6380, op_id = k8jYdgA6NY binary_op_definition= 'None', output=890","layer":3},{"info":"compute binary expreesion, left_input=-25383, right_input=890, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1851","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1851, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2914","layer":3},{"info":"number node, value=5087","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=5087, right_input=1187, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6274","layer":3},{"info":"compute binary expreesion, left_input=-2914, right_input=6274, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=9","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=9, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-89","layer":1},{"info":"number node, value=2414","layer":4},{"info":"compute unary expreesion, input=2414, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4828","layer":3},{"info":"number node, value=1644","layer":4},{"info":"compute unary expreesion, input=1644, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1644","layer":3},{"info":"compute binary expreesion, left_input=-4828, right_input=1644, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=3184","layer":2},{"info":"compute unary expreesion, input=3184, 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=-89, 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":"(((∃⊬210D≦≮≮)⪄(∃⊬1C66%∃⊬18EC))⫸⊐((∃⊬427⪒∃⊬73B)⩨(∃⊬13DF+∃⊬4A3)))⨓(∂((↽≂∃⊬96E)⪒(≦∁∃⊬66C)))=NaN","reverse_text":"NaN=(((∃⊬210D≦≮≮)⪄(∃⊬1C66%∃⊬18EC))⫸⊐((∃⊬427⪒∃⊬73B)⩨(∃⊬13DF+∃⊬4A3)))⨓(∂((↽≂∃⊬96E)⪒(≦∁∃⊬66C)))","cot":[{"info":"∃⊬210D≦≮≮=∃⊬-6327","layer":3},{"info":"∃⊬1C66%∃⊬18EC=∃⊬37A","layer":3},{"info":"∃⊬-6327⪄∃⊬37A=∃⊬F8B","layer":2},{"info":"∃⊬427⪒∃⊬73B=∃⊬-B62","layer":3},{"info":"∃⊬13DF+∃⊬4A3=∃⊬1882","layer":3},{"info":"∃⊬-B62⩨∃⊬1882=∃⊬9","layer":2},{"info":"∃⊬F8B⫸⊐∃⊬9=∃⊬-59","layer":1},{"info":"↽≂∃⊬96E=∃⊬-12DC","layer":3},{"info":"≦∁∃⊬66C=∃⊬66C","layer":3},{"info":"∃⊬-12DC⪒∃⊬66C=∃⊬C70","layer":2},{"info":"∂∃⊬C70=NaN","layer":1},{"info":"∃⊬-59⨓NaN=NaN","layer":0}]}
{"id":370,"expression_no_base_symbol":"(($1039$∀⇚≩$1787$)⇷(↥$3144$))⪮%⊝(⇁⨣⪵($1863$⫡⨏$1416$))≎⊠⪸($1248$⨰$1668$⨁⊸⫻)⊴(($4602$⋓$8828$)∀⇚≩($4903$⨎$1873$))","expression":"((∃⊬40F∀⇚≩∃⊬6FB)⇷(↥∃⊬C48))⪮%⊝(⇁⨣⪵(∃⊬747⫡⨏∃⊬588))≎⊠⪸(∃⊬4E0⨰∃⊬684⨁⊸⫻)⊴((∃⊬11FA⋓∃⊬227C)∀⇚≩(∃⊬1327⨎∃⊬751))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9711,"operation_count":13,"complexity_ratio":747.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1039,"base":16},"right_expr":{"type":"numeric_atoms","value":1787,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3144,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1863,"base":16},"right_expr":{"type":"numeric_atoms","value":1416,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1248,"base":16},"right_expr":{"type":"numeric_atoms","value":1668,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4602,"base":16},"right_expr":{"type":"numeric_atoms","value":8828,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4903,"base":16},"right_expr":{"type":"numeric_atoms","value":1873,"base":16}}}}},"used_operators":["bJkvcejdHO","IWmyXbctLI","mp7IySMOzn","LRNGc0VcxI","A8NUZmVepG","inkyxCbjAn","QMFrweE19q","Nsiff2A1zJ","glklzrTFfD","eewbuw0ToL","T2fj7uvVaJ","rJVOvQCfKK"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1039","layer":4},{"info":"number node, value=1787","layer":4},{"info":"compute binary expreesion, left_input=1039, right_input=1787, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3144","layer":4},{"info":"compute unary expreesion, input=3144, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=33, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=66","layer":2},{"info":"number node, value=1863","layer":4},{"info":"number node, value=1416","layer":4},{"info":"compute binary expreesion, left_input=1863, right_input=1416, 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=12930","layer":3},{"info":"compute unary expreesion, input=12930, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=66, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1668","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1668, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-410","layer":3},{"info":"compute unary expreesion, input=-410, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-820","layer":2},{"info":"number node, value=4602","layer":4},{"info":"number node, value=8828","layer":4},{"info":"compute binary expreesion, left_input=4602, right_input=8828, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4903","layer":4},{"info":"number node, value=1873","layer":4},{"info":"compute binary expreesion, left_input=4903, right_input=1873, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1873","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1873, 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=1873","layer":2},{"info":"compute binary expreesion, left_input=-820, right_input=1873, 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 = 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":"((∃⊬40F∀⇚≩∃⊬6FB)⇷(↥∃⊬C48))⪮%⊝(⇁⨣⪵(∃⊬747⫡⨏∃⊬588))≎⊠⪸(∃⊬4E0⨰∃⊬684⨁⊸⫻)⊴((∃⊬11FA⋓∃⊬227C)∀⇚≩(∃⊬1327⨎∃⊬751))=∃⊬43","reverse_text":"∃⊬43=((∃⊬40F∀⇚≩∃⊬6FB)⇷(↥∃⊬C48))⪮%⊝(⇁⨣⪵(∃⊬747⫡⨏∃⊬588))≎⊠⪸(∃⊬4E0⨰∃⊬684⨁⊸⫻)⊴((∃⊬11FA⋓∃⊬227C)∀⇚≩(∃⊬1327⨎∃⊬751))","cot":[{"info":"∃⊬40F∀⇚≩∃⊬6FB=NaN","layer":3},{"info":"↥∃⊬C48=∃⊬21","layer":3},{"info":"NaN⇷∃⊬21=∃⊬42","layer":2},{"info":"∃⊬747⫡⨏∃⊬588=∃⊬3282","layer":3},{"info":"⇁⨣⪵∃⊬3282=NaN","layer":2},{"info":"∃⊬42⪮%⊝NaN=NaN","layer":1},{"info":"∃⊬4E0⨰∃⊬684=∃⊬-19A","layer":3},{"info":"∃⊬-19A⨁⊸⫻=∃⊬-334","layer":2},{"info":"∃⊬11FA⋓∃⊬227C=∃⊬0","layer":3},{"info":"∃⊬1327⨎∃⊬751=∃⊬751","layer":3},{"info":"∃⊬0∀⇚≩∃⊬751=∃⊬751","layer":2},{"info":"∃⊬-334⊴∃⊬751=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":0}]}
{"id":371,"expression_no_base_symbol":"(≦∁$1722$)∑⇟⊟(↯⪼$2959$)⇼⇔∾(($2210$⩠)+($5112$⋷$1674$))≋⫹","expression":"(≦∁∃⊬6BA)∑⇟⊟(↯⪼∃⊬B8F)⇼⇔∾((∃⊬8A2⩠)+(∃⊬13F8⋷∃⊬68A))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":581,"operation_count":8,"complexity_ratio":72.625,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1722,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2959,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2210,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5112,"base":16},"right_expr":{"type":"numeric_atoms","value":1674,"base":16}}}}},"used_operators":["N41Kp7NANJ","tifHPKVTfV","U7g4x0WXJJ","9ICcGScMcE","8jW3W4yZS5","W4YGzv6Whe","sJAwomhLZr","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1722","layer":4},{"info":"compute unary expreesion, input=1722, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1722","layer":3},{"info":"number node, value=2959","layer":4},{"info":"compute unary expreesion, input=2959, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=1722, right_input=-21, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2210","layer":4},{"info":"compute unary expreesion, input=2210, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5112","layer":4},{"info":"number node, value=1674","layer":4},{"info":"compute binary expreesion, left_input=5112, right_input=1674, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1764","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1764, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-1764","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1764, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≦∁∃⊬6BA)∑⇟⊟(↯⪼∃⊬B8F)⇼⇔∾((∃⊬8A2⩠)+(∃⊬13F8⋷∃⊬68A))≋⫹=NaN","reverse_text":"NaN=(≦∁∃⊬6BA)∑⇟⊟(↯⪼∃⊬B8F)⇼⇔∾((∃⊬8A2⩠)+(∃⊬13F8⋷∃⊬68A))≋⫹","cot":[{"info":"≦∁∃⊬6BA=∃⊬6BA","layer":3},{"info":"↯⪼∃⊬B8F=∃⊬-15","layer":3},{"info":"∃⊬6BA∑⇟⊟∃⊬-15=NaN","layer":2},{"info":"∃⊬8A2⩠=∃⊬0","layer":3},{"info":"∃⊬13F8⋷∃⊬68A=∃⊬-6E4","layer":3},{"info":"∃⊬0+∃⊬-6E4=∃⊬-6E4","layer":2},{"info":"NaN⇼⇔∾∃⊬-6E4=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":372,"expression_no_base_symbol":"↔(($3398$⨓$4441$⪄$1055$⪄$1380$)⋝⋈⪟($1906$≹⇙⪍$8583$⊉≛↸$6600$⋝⋈⪟$1331$))","expression":"↔((∃⊬D46⨓∃⊬1159⪄∃⊬41F⪄∃⊬564)⋝⋈⪟(∃⊬772≹⇙⪍∃⊬2187⊉≛↸∃⊬19C8⋝⋈⪟∃⊬533))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4665,"operation_count":8,"complexity_ratio":583.125,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3398,"base":16},"right_expr":{"type":"numeric_atoms","value":4441,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":1380,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1906,"base":16},"right_expr":{"type":"numeric_atoms","value":8583,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6600,"base":16},"right_expr":{"type":"numeric_atoms","value":1331,"base":16}}}}},"used_operators":["ruOEQAzv1W","2DDjHMKMc0","SUmda5xLS4","3ViojmjbAp","DZ8iAZOCBD","AHs5Up7iyr"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3398","layer":4},{"info":"number node, value=4441","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=4441, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4444","layer":3},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1380","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1380, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-157749","layer":3},{"info":"compute binary expreesion, left_input=-4444, right_input=-157749, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=1906","layer":4},{"info":"number node, value=8583","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=8583, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6600","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=6600, right_input=1331, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6600","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6600, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"↔((∃⊬D46⨓∃⊬1159⪄∃⊬41F⪄∃⊬564)⋝⋈⪟(∃⊬772≹⇙⪍∃⊬2187⊉≛↸∃⊬19C8⋝⋈⪟∃⊬533))=∃⊬-86","reverse_text":"∃⊬-86=↔((∃⊬D46⨓∃⊬1159⪄∃⊬41F⪄∃⊬564)⋝⋈⪟(∃⊬772≹⇙⪍∃⊬2187⊉≛↸∃⊬19C8⋝⋈⪟∃⊬533))","cot":[{"info":"∃⊬D46⨓∃⊬1159=∃⊬-115C","layer":3},{"info":"∃⊬41F⪄∃⊬564=∃⊬-26835","layer":3},{"info":"∃⊬-115C⪄∃⊬-26835=∃⊬F8B","layer":2},{"info":"∃⊬772≹⇙⪍∃⊬2187=NaN","layer":3},{"info":"∃⊬19C8⋝⋈⪟∃⊬533=∃⊬19C8","layer":3},{"info":"NaN⊉≛↸∃⊬19C8=NaN","layer":2},{"info":"∃⊬F8B⋝⋈⪟NaN=NaN","layer":1},{"info":"↔NaN=∃⊬-86","layer":0}]}
{"id":373,"expression_no_base_symbol":"(↔$2040$)≎⊠⪸$1073$↬$4523$⊭↱(⩦⩻⨪$3442$)⨐⩸⫘$9231$∀⇚≩$4289$/($2133$⫸⊐$2595$)⪮%⊝($2123$≎⊠⪸$5155$)⨸⪁$2534$⨟⋌⩍$1065$⋓$6192$∀⇚≩$6986$","expression":"(↔∃⊬7F8)≎⊠⪸∃⊬431↬∃⊬11AB⊭↱(⩦⩻⨪∃⊬D72)⨐⩸⫘∃⊬240F∀⇚≩∃⊬10C1/(∃⊬855⫸⊐∃⊬A23)⪮%⊝(∃⊬84B≎⊠⪸∃⊬1423)⨸⪁∃⊬9E6⨟⋌⩍∃⊬429⋓∃⊬1830∀⇚≩∃⊬1B4A","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":108311,"operation_count":15,"complexity_ratio":7220.733333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2040,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":4523,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3442,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":9231,"base":16},"right_expr":{"type":"numeric_atoms","value":4289,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2133,"base":16},"right_expr":{"type":"numeric_atoms","value":2595,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2123,"base":16},"right_expr":{"type":"numeric_atoms","value":5155,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2534,"base":16},"right_expr":{"type":"numeric_atoms","value":1065,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6192,"base":16},"right_expr":{"type":"numeric_atoms","value":6986,"base":16}}}}},"used_operators":["XhwjNDsVaA","COABgblf1C","bJkvcejdHO","ruOEQAzv1W","B5M0gjZbta","fu6greOZ01","2td37pGCOC","LRNGc0VcxI","g55IO6H4Gj","IWmyXbctLI","mqXw5SEYmG","T2fj7uvVaJ","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2040","layer":4},{"info":"compute unary expreesion, input=2040, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1767","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=4523, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1767, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=3442","layer":4},{"info":"compute unary expreesion, input=3442, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3442","layer":3},{"info":"number node, value=9231","layer":4},{"info":"number node, value=4289","layer":4},{"info":"compute binary expreesion, left_input=9231, right_input=4289, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3442, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=2133","layer":4},{"info":"number node, value=2595","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=2595, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=10255","layer":3},{"info":"number node, value=2123","layer":4},{"info":"number node, value=5155","layer":4},{"info":"compute binary expreesion, left_input=2123, right_input=5155, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=549384","layer":3},{"info":"compute binary expreesion, left_input=10255, right_input=549384, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=20826","layer":2},{"info":"number node, value=2534","layer":4},{"info":"number node, value=1065","layer":4},{"info":"compute binary expreesion, left_input=2534, right_input=1065, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6192","layer":4},{"info":"number node, value=6986","layer":4},{"info":"compute binary expreesion, left_input=6192, right_input=6986, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20826, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↔∃⊬7F8)≎⊠⪸∃⊬431↬∃⊬11AB⊭↱(⩦⩻⨪∃⊬D72)⨐⩸⫘∃⊬240F∀⇚≩∃⊬10C1/(∃⊬855⫸⊐∃⊬A23)⪮%⊝(∃⊬84B≎⊠⪸∃⊬1423)⨸⪁∃⊬9E6⨟⋌⩍∃⊬429⋓∃⊬1830∀⇚≩∃⊬1B4A=NaN","reverse_text":"NaN=(↔∃⊬7F8)≎⊠⪸∃⊬431↬∃⊬11AB⊭↱(⩦⩻⨪∃⊬D72)⨐⩸⫘∃⊬240F∀⇚≩∃⊬10C1/(∃⊬855⫸⊐∃⊬A23)⪮%⊝(∃⊬84B≎⊠⪸∃⊬1423)⨸⪁∃⊬9E6⨟⋌⩍∃⊬429⋓∃⊬1830∀⇚≩∃⊬1B4A","cot":[{"info":"↔∃⊬7F8=∃⊬-6E7","layer":3},{"info":"∃⊬431↬∃⊬11AB=NaN","layer":3},{"info":"∃⊬-6E7≎⊠⪸NaN=∃⊬43","layer":2},{"info":"⩦⩻⨪∃⊬D72=∃⊬D72","layer":3},{"info":"∃⊬240F∀⇚≩∃⊬10C1=NaN","layer":3},{"info":"∃⊬D72⨐⩸⫘NaN=NaN","layer":2},{"info":"∃⊬43⊭↱NaN=NaN","layer":1},{"info":"∃⊬855⫸⊐∃⊬A23=∃⊬280F","layer":3},{"info":"∃⊬84B≎⊠⪸∃⊬1423=∃⊬86208","layer":3},{"info":"∃⊬280F⪮%⊝∃⊬86208=∃⊬515A","layer":2},{"info":"∃⊬9E6⨟⋌⩍∃⊬429=NaN","layer":3},{"info":"∃⊬1830∀⇚≩∃⊬1B4A=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"∃⊬515A⨸⪁NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":374,"expression_no_base_symbol":"⨞⊢((⨰⫟⨤($3686$⨽$3316$))∲⫓(↔($7648$∑⇟⊟$1030$)))","expression":"⨞⊢((⨰⫟⨤(∃⊬E66⨽∃⊬CF4))∲⫓(↔(∃⊬1DE0∑⇟⊟∃⊬406)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":81541459,"operation_count":6,"complexity_ratio":13590243.166666666,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3686,"base":16},"right_expr":{"type":"numeric_atoms","value":3316,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7648,"base":16},"right_expr":{"type":"numeric_atoms","value":1030,"base":16}}}}},"used_operators":["xUOZtlo3hN","i8ToyICDmI","Tw270M8GLb","8HhzD0ZcuI","ruOEQAzv1W","U7g4x0WXJJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3686","layer":4},{"info":"number node, value=3316","layer":4},{"info":"compute binary expreesion, left_input=3686, right_input=3316, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-40768422","layer":3},{"info":"compute unary expreesion, input=-40768422, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=7648","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=7648, right_input=1030, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , 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":"⨞⊢((⨰⫟⨤(∃⊬E66⨽∃⊬CF4))∲⫓(↔(∃⊬1DE0∑⇟⊟∃⊬406)))=NaN","reverse_text":"NaN=⨞⊢((⨰⫟⨤(∃⊬E66⨽∃⊬CF4))∲⫓(↔(∃⊬1DE0∑⇟⊟∃⊬406)))","cot":[{"info":"∃⊬E66⨽∃⊬CF4=∃⊬-26E13A6","layer":3},{"info":"⨰⫟⨤∃⊬-26E13A6=NaN","layer":2},{"info":"∃⊬1DE0∑⇟⊟∃⊬406=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"NaN∲⫓∃⊬-86=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":375,"expression_no_base_symbol":"($5110$⋳⪒$6610$⪒$1691$⊴$6880$)⪘⫢(⊙↵-(⇁⨣⪵$1579$))⊉≛↸(∥⊫$1154$⨽$2508$)⋳⪒($5042$⨐⩸⫘$3287$)≹⇙⪍(↣≠⋷$9253$)","expression":"(∃⊬13F6⋳⪒∃⊬19D2⪒∃⊬69B⊴∃⊬1AE0)⪘⫢(⊙↵-(⇁⨣⪵∃⊬62B))⊉≛↸(∥⊫∃⊬482⨽∃⊬9CC)⋳⪒(∃⊬13B2⨐⩸⫘∃⊬CD7)≹⇙⪍(↣≠⋷∃⊬2425)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8113,"operation_count":13,"complexity_ratio":624.0769230769231,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5110,"base":16},"right_expr":{"type":"numeric_atoms","value":6610,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1691,"base":16},"right_expr":{"type":"numeric_atoms","value":6880,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1579,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1154,"base":16},"right_expr":{"type":"numeric_atoms","value":2508,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5042,"base":16},"right_expr":{"type":"numeric_atoms","value":3287,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":9253,"base":16}}}}},"used_operators":["DZ8iAZOCBD","oacrs7FA3X","f6k1SAg4EE","12rbrZMWeM","Nsiff2A1zJ","oWn0xqSxBt","inkyxCbjAn","P8v4zCKN1o","8HhzD0ZcuI","AHs5Up7iyr","fu6greOZ01","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","3ViojmjbAp","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5110","layer":4},{"info":"number node, value=6610","layer":4},{"info":"compute binary expreesion, left_input=5110, right_input=6610, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3323","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=6880","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=6880, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3323, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1579","layer":4},{"info":"compute unary expreesion, input=1579, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1154","layer":4},{"info":"number node, value=2508","layer":4},{"info":"compute binary expreesion, left_input=1154, right_input=2508, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4001358","layer":3},{"info":"compute unary expreesion, input=-4001358, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":2},{"info":"number node, value=5042","layer":4},{"info":"number node, value=3287","layer":4},{"info":"compute binary expreesion, left_input=5042, right_input=3287, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=9253","layer":4},{"info":"compute unary expreesion, input=9253, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-55, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬13F6⋳⪒∃⊬19D2⪒∃⊬69B⊴∃⊬1AE0)⪘⫢(⊙↵-(⇁⨣⪵∃⊬62B))⊉≛↸(∥⊫∃⊬482⨽∃⊬9CC)⋳⪒(∃⊬13B2⨐⩸⫘∃⊬CD7)≹⇙⪍(↣≠⋷∃⊬2425)=NaN","reverse_text":"NaN=(∃⊬13F6⋳⪒∃⊬19D2⪒∃⊬69B⊴∃⊬1AE0)⪘⫢(⊙↵-(⇁⨣⪵∃⊬62B))⊉≛↸(∥⊫∃⊬482⨽∃⊬9CC)⋳⪒(∃⊬13B2⨐⩸⫘∃⊬CD7)≹⇙⪍(↣≠⋷∃⊬2425)","cot":[{"info":"∃⊬13F6⋳⪒∃⊬19D2=∃⊬CFB","layer":3},{"info":"∃⊬69B⊴∃⊬1AE0=NaN","layer":3},{"info":"∃⊬CFB⪒NaN=NaN","layer":2},{"info":"⇁⨣⪵∃⊬62B=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"∃⊬482⨽∃⊬9CC=∃⊬-3D0E4E","layer":3},{"info":"∥⊫∃⊬-3D0E4E=∃⊬-37","layer":2},{"info":"∃⊬13B2⨐⩸⫘∃⊬CD7=NaN","layer":3},{"info":"↣≠⋷∃⊬2425=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"∃⊬-37⋳⪒NaN=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":376,"expression_no_base_symbol":"≦∁(($4934$⨎$1514$)≎⊠⪸(↥$3214$))⪢(($1606$⨵⪆$2605$)⩠)","expression":"≦∁((∃⊬1346⨎∃⊬5EA)≎⊠⪸(↥∃⊬C8E))⪢((∃⊬646⨵⪆∃⊬A2D)⩠)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":93277,"operation_count":7,"complexity_ratio":13325.285714285714,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4934,"base":16},"right_expr":{"type":"numeric_atoms","value":1514,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3214,"base":16}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1606,"base":16},"right_expr":{"type":"numeric_atoms","value":2605,"base":16}}}}},"used_operators":["9ICcGScMcE","dWAJyo7jo9","bJkvcejdHO","rJVOvQCfKK","A8NUZmVepG","sJAwomhLZr","2DQ55sFlQl"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4934","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=4934, right_input=1514, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1514","layer":3},{"info":"number node, value=3214","layer":4},{"info":"compute unary expreesion, input=3214, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=1","layer":3},{"info":"compute binary expreesion, left_input=1514, right_input=1, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=391653","layer":2},{"info":"number node, value=1606","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=2605, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-431","layer":2},{"info":"compute binary expreesion, left_input=391653, right_input=-431, 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 = 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":"≦∁((∃⊬1346⨎∃⊬5EA)≎⊠⪸(↥∃⊬C8E))⪢((∃⊬646⨵⪆∃⊬A2D)⩠)=NaN","reverse_text":"NaN=≦∁((∃⊬1346⨎∃⊬5EA)≎⊠⪸(↥∃⊬C8E))⪢((∃⊬646⨵⪆∃⊬A2D)⩠)","cot":[{"info":"∃⊬1346⨎∃⊬5EA=∃⊬5EA","layer":3},{"info":"↥∃⊬C8E=∃⊬1","layer":3},{"info":"∃⊬5EA≎⊠⪸∃⊬1=∃⊬5F9E5","layer":2},{"info":"∃⊬646⨵⪆∃⊬A2D=∃⊬A0","layer":3},{"info":"∃⊬A0⩠=∃⊬-1AF","layer":2},{"info":"∃⊬5F9E5⪢∃⊬-1AF=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":377,"expression_no_base_symbol":"(⨵≀≌(⪝⪂⫅($1157$∧)))⨰(($9054$↙$8063$)⋓(⨞⊢$1340$)⊭↱(≤/($2633$⨸⪁$1824$)))","expression":"(⨵≀≌(⪝⪂⫅(∃⊬485∧)))⨰((∃⊬235E↙∃⊬1F7F)⋓(⨞⊢∃⊬53C)⊭↱(≤/(∃⊬A49⨸⪁∃⊬720)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":8110,"operation_count":10,"complexity_ratio":811.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1157,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9054,"base":16},"right_expr":{"type":"numeric_atoms","value":8063,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1340,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2633,"base":16},"right_expr":{"type":"numeric_atoms","value":1824,"base":16}}}}},"used_operators":["eewbuw0ToL","srAu1WTS94","XTarYq4gQB","z63VuFQld9","COABgblf1C","T2fj7uvVaJ","yyfyN0ffXY","xUOZtlo3hN","eLAdDNolq6","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"number node, value=9054","layer":4},{"info":"number node, value=8063","layer":4},{"info":"compute binary expreesion, left_input=9054, right_input=8063, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-24189","layer":3},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1514","layer":3},{"info":"compute binary expreesion, left_input=-24189, right_input=-1514, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2633","layer":4},{"info":"number node, value=1824","layer":4},{"info":"compute binary expreesion, left_input=2633, right_input=1824, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8914","layer":3},{"info":"compute unary expreesion, input=8914, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8430","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8430, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-16855","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-16855, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌(⪝⪂⫅(∃⊬485∧)))⨰((∃⊬235E↙∃⊬1F7F)⋓(⨞⊢∃⊬53C)⊭↱(≤/(∃⊬A49⨸⪁∃⊬720)))=NaN","reverse_text":"NaN=(⨵≀≌(⪝⪂⫅(∃⊬485∧)))⨰((∃⊬235E↙∃⊬1F7F)⋓(⨞⊢∃⊬53C)⊭↱(≤/(∃⊬A49⨸⪁∃⊬720)))","cot":[{"info":"∃⊬485∧=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"∃⊬235E↙∃⊬1F7F=∃⊬-5E7D","layer":3},{"info":"⨞⊢∃⊬53C=∃⊬-5EA","layer":3},{"info":"∃⊬-5E7D⋓∃⊬-5EA=∃⊬0","layer":2},{"info":"∃⊬A49⨸⪁∃⊬720=∃⊬22D2","layer":3},{"info":"≤/∃⊬22D2=∃⊬-20EE","layer":2},{"info":"∃⊬0⊭↱∃⊬-20EE=∃⊬-41D7","layer":1},{"info":"NaN⨰∃⊬-41D7=NaN","layer":0}]}
{"id":378,"expression_no_base_symbol":"((⨈⫕(⪲⇎$5812$))%($4501$⪨≂$3534$)↙$2998$≧⫂∧$4138$)↬($6977$-$2187$+$5731$⊉≛↸$1206$)≹⇙⪍(($1025$⨪↰⇹$8099$)⇷($1031$∸))","expression":"((⨈⫕(⪲⇎∃⊬16B4))%(∃⊬1195⪨≂∃⊬DCE)↙∃⊬BB6≧⫂∧∃⊬102A)↬(∃⊬1B41-∃⊬88B+∃⊬1663⊉≛↸∃⊬4B6)≹⇙⪍((∃⊬401⨪↰⇹∃⊬1FA3)⇷(∃⊬407∸))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":150690,"operation_count":14,"complexity_ratio":10763.57142857143,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5812,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":4501,"base":16},"right_expr":{"type":"numeric_atoms","value":3534,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2998,"base":16},"right_expr":{"type":"numeric_atoms","value":4138,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6977,"base":16},"right_expr":{"type":"numeric_atoms","value":2187,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5731,"base":16},"right_expr":{"type":"numeric_atoms","value":1206,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1025,"base":16},"right_expr":{"type":"numeric_atoms","value":8099,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1031,"base":16}}}}},"used_operators":["B5M0gjZbta","k8jYdgA6NY","megm06wKyl","XPYlsWDdGa","yyfyN0ffXY","sdazOOVcIp","Ph9nP6C5qx","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","mp7IySMOzn","tmPS8pqC7x","o20kRiQErp"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5812","layer":4},{"info":"compute unary expreesion, input=5812, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11624","layer":3},{"info":"compute unary expreesion, input=11624, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=4501","layer":4},{"info":"number node, value=3534","layer":4},{"info":"compute binary expreesion, left_input=4501, right_input=3534, 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=2036","layer":3},{"info":"number node, value=2998","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=2998, right_input=4138, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3665","layer":3},{"info":"compute binary expreesion, left_input=2036, right_input=3665, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10995","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-10995, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-21","layer":1},{"info":"number node, value=6977","layer":4},{"info":"number node, value=2187","layer":4},{"info":"compute binary expreesion, left_input=6977, right_input=2187, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4790","layer":3},{"info":"number node, value=5731","layer":4},{"info":"number node, value=1206","layer":4},{"info":"compute binary expreesion, left_input=5731, right_input=1206, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11462","layer":3},{"info":"compute binary expreesion, left_input=4790, right_input=11462, op_id = W4YGzv6Whe binary_op_definition= 'None', output=16252","layer":2},{"info":"number node, value=1025","layer":4},{"info":"number node, value=8099","layer":4},{"info":"compute binary expreesion, left_input=1025, right_input=8099, 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=1025","layer":3},{"info":"number node, value=1031","layer":4},{"info":"compute unary expreesion, input=1031, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=1025, right_input=177, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=354","layer":2},{"info":"compute binary expreesion, left_input=16252, right_input=354, 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=-21, 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":"((⨈⫕(⪲⇎∃⊬16B4))%(∃⊬1195⪨≂∃⊬DCE)↙∃⊬BB6≧⫂∧∃⊬102A)↬(∃⊬1B41-∃⊬88B+∃⊬1663⊉≛↸∃⊬4B6)≹⇙⪍((∃⊬401⨪↰⇹∃⊬1FA3)⇷(∃⊬407∸))=NaN","reverse_text":"NaN=((⨈⫕(⪲⇎∃⊬16B4))%(∃⊬1195⪨≂∃⊬DCE)↙∃⊬BB6≧⫂∧∃⊬102A)↬(∃⊬1B41-∃⊬88B+∃⊬1663⊉≛↸∃⊬4B6)≹⇙⪍((∃⊬401⨪↰⇹∃⊬1FA3)⇷(∃⊬407∸))","cot":[{"info":"⪲⇎∃⊬16B4=∃⊬2D68","layer":3},{"info":"⨈⫕∃⊬2D68=∃⊬-15","layer":2},{"info":"∃⊬1195⪨≂∃⊬DCE=∃⊬7F4","layer":3},{"info":"∃⊬BB6≧⫂∧∃⊬102A=∃⊬E51","layer":3},{"info":"∃⊬7F4↙∃⊬E51=∃⊬-2AF3","layer":2},{"info":"∃⊬-15%∃⊬-2AF3=∃⊬-15","layer":1},{"info":"∃⊬1B41-∃⊬88B=∃⊬12B6","layer":3},{"info":"∃⊬1663⊉≛↸∃⊬4B6=∃⊬2CC6","layer":3},{"info":"∃⊬12B6+∃⊬2CC6=∃⊬3F7C","layer":2},{"info":"∃⊬401⨪↰⇹∃⊬1FA3=∃⊬401","layer":3},{"info":"∃⊬407∸=∃⊬B1","layer":3},{"info":"∃⊬401⇷∃⊬B1=∃⊬162","layer":2},{"info":"∃⊬3F7C≹⇙⪍∃⊬162=NaN","layer":1},{"info":"∃⊬-15↬NaN=NaN","layer":0}]}
{"id":379,"expression_no_base_symbol":"(($1830$⋷$4021$)⊴($3681$∀⇚≩$1334$)⩷∴($2880$≧⫂∧$1071$⇼⇔∾$2309$≭$4888$))∼((≤/$7788$⩷∴$2081$)≭((≤/$1538$)⇼⇔∾($1306$+$5311$)))","expression":"((∃⊬726⋷∃⊬FB5)⊴(∃⊬E61∀⇚≩∃⊬536)⩷∴(∃⊬B40≧⫂∧∃⊬42F⇼⇔∾∃⊬905≭∃⊬1318))∼((≤/∃⊬1E6C⩷∴∃⊬821)≭((≤/∃⊬602)⇼⇔∾(∃⊬51A+∃⊬14BF)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25802,"operation_count":14,"complexity_ratio":1843.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1830,"base":16},"right_expr":{"type":"numeric_atoms","value":4021,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3681,"base":16},"right_expr":{"type":"numeric_atoms","value":1334,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2880,"base":16},"right_expr":{"type":"numeric_atoms","value":1071,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2309,"base":16},"right_expr":{"type":"numeric_atoms","value":4888,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7788,"base":16},"right_expr":{"type":"numeric_atoms","value":2081,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1538,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1306,"base":16},"right_expr":{"type":"numeric_atoms","value":5311,"base":16}}}}},"used_operators":["DyGG3AbaNP","9FxExcQeMw","Nsiff2A1zJ","23Mk6UjR3U","LRNGc0VcxI","tifHPKVTfV","Ph9nP6C5qx","rxpJgHHUmx","eLAdDNolq6","W4YGzv6Whe"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1830","layer":4},{"info":"number node, value=4021","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=4021, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6212","layer":3},{"info":"number node, value=3681","layer":4},{"info":"number node, value=1334","layer":4},{"info":"compute binary expreesion, left_input=3681, 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":3},{"info":"compute binary expreesion, left_input=6212, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2880","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=2880, right_input=1071, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=598","layer":3},{"info":"number node, value=2309","layer":4},{"info":"number node, value=4888","layer":4},{"info":"compute binary expreesion, left_input=2309, right_input=4888, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=598, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=7788","layer":4},{"info":"number node, value=2081","layer":4},{"info":"compute binary expreesion, left_input=7788, right_input=2081, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=11382","layer":3},{"info":"compute unary expreesion, input=11382, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-10898","layer":2},{"info":"number node, value=1538","layer":4},{"info":"compute unary expreesion, input=1538, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1054","layer":3},{"info":"number node, value=1306","layer":4},{"info":"number node, value=5311","layer":4},{"info":"compute binary expreesion, left_input=1306, right_input=5311, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6617","layer":3},{"info":"compute binary expreesion, left_input=-1054, right_input=6617, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=7671","layer":2},{"info":"compute binary expreesion, left_input=-10898, right_input=7671, 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 = 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":"((∃⊬726⋷∃⊬FB5)⊴(∃⊬E61∀⇚≩∃⊬536)⩷∴(∃⊬B40≧⫂∧∃⊬42F⇼⇔∾∃⊬905≭∃⊬1318))∼((≤/∃⊬1E6C⩷∴∃⊬821)≭((≤/∃⊬602)⇼⇔∾(∃⊬51A+∃⊬14BF)))=NaN","reverse_text":"NaN=((∃⊬726⋷∃⊬FB5)⊴(∃⊬E61∀⇚≩∃⊬536)⩷∴(∃⊬B40≧⫂∧∃⊬42F⇼⇔∾∃⊬905≭∃⊬1318))∼((≤/∃⊬1E6C⩷∴∃⊬821)≭((≤/∃⊬602)⇼⇔∾(∃⊬51A+∃⊬14BF)))","cot":[{"info":"∃⊬726⋷∃⊬FB5=∃⊬1844","layer":3},{"info":"∃⊬E61∀⇚≩∃⊬536=NaN","layer":3},{"info":"∃⊬1844⊴NaN=NaN","layer":2},{"info":"∃⊬B40≧⫂∧∃⊬42F=∃⊬256","layer":3},{"info":"∃⊬905≭∃⊬1318=NaN","layer":3},{"info":"∃⊬256⇼⇔∾NaN=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"∃⊬1E6C⩷∴∃⊬821=∃⊬2C76","layer":3},{"info":"≤/∃⊬2C76=∃⊬-2A92","layer":2},{"info":"≤/∃⊬602=∃⊬-41E","layer":3},{"info":"∃⊬51A+∃⊬14BF=∃⊬19D9","layer":3},{"info":"∃⊬-41E⇼⇔∾∃⊬19D9=∃⊬1DF7","layer":2},{"info":"∃⊬-2A92≭∃⊬1DF7=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":380,"expression_no_base_symbol":"($1073$⪮%⊝$7594$⇼⇔∾(⫓⪴$3121$)⩨($2008$⊭↱$5130$⪒(⊥$5625$)))⩷∴(($1050$⨟⋌⩍$1361$)≹⇙⪍($7404$⨟⋌⩍$1007$)≫≃)","expression":"(∃⊬431⪮%⊝∃⊬1DAA⇼⇔∾(⫓⪴∃⊬C31)⩨(∃⊬7D8⊭↱∃⊬140A⪒(⊥∃⊬15F9)))⩷∴((∃⊬41A⨟⋌⩍∃⊬551)≹⇙⪍(∃⊬1CEC⨟⋌⩍∃⊬3EF)≫≃)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3162,"operation_count":12,"complexity_ratio":263.5,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":7594,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3121,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2008,"base":16},"right_expr":{"type":"numeric_atoms","value":5130,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5625,"base":16}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":1361,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7404,"base":16},"right_expr":{"type":"numeric_atoms","value":1007,"base":16}}}}},"used_operators":["9FxExcQeMw","2DlMacCsIx","tifHPKVTfV","IWmyXbctLI","eLxqMNBOBk","f6k1SAg4EE","COABgblf1C","Q3PJZHRvZv","X99M06cbEe","AHs5Up7iyr","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1073","layer":4},{"info":"number node, value=7594","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=7594, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2462","layer":3},{"info":"number node, value=3121","layer":4},{"info":"compute unary expreesion, input=3121, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9740641","layer":3},{"info":"compute binary expreesion, left_input=2462, right_input=9740641, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=9738179","layer":2},{"info":"number node, value=2008","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=2008, right_input=5130, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6249","layer":3},{"info":"number node, value=5625","layer":4},{"info":"compute unary expreesion, input=5625, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6249, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=9738179, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1361, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7404","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=7404, right_input=1007, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬431⪮%⊝∃⊬1DAA⇼⇔∾(⫓⪴∃⊬C31)⩨(∃⊬7D8⊭↱∃⊬140A⪒(⊥∃⊬15F9)))⩷∴((∃⊬41A⨟⋌⩍∃⊬551)≹⇙⪍(∃⊬1CEC⨟⋌⩍∃⊬3EF)≫≃)=NaN","reverse_text":"NaN=(∃⊬431⪮%⊝∃⊬1DAA⇼⇔∾(⫓⪴∃⊬C31)⩨(∃⊬7D8⊭↱∃⊬140A⪒(⊥∃⊬15F9)))⩷∴((∃⊬41A⨟⋌⩍∃⊬551)≹⇙⪍(∃⊬1CEC⨟⋌⩍∃⊬3EF)≫≃)","cot":[{"info":"∃⊬431⪮%⊝∃⊬1DAA=∃⊬99E","layer":3},{"info":"⫓⪴∃⊬C31=∃⊬94A161","layer":3},{"info":"∃⊬99E⇼⇔∾∃⊬94A161=∃⊬9497C3","layer":2},{"info":"∃⊬7D8⊭↱∃⊬140A=∃⊬1869","layer":3},{"info":"⊥∃⊬15F9=NaN","layer":3},{"info":"∃⊬1869⪒NaN=NaN","layer":2},{"info":"∃⊬9497C3⩨NaN=NaN","layer":1},{"info":"∃⊬41A⨟⋌⩍∃⊬551=NaN","layer":3},{"info":"∃⊬1CEC⨟⋌⩍∃⊬3EF=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"NaN≫≃=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":381,"expression_no_base_symbol":"($5951$∼$2129$⊭↱$2692$⋓$1780$⪨≂(⋗⩬⋾$4204$)⋳⪒$1499$⪮%⊝$1781$)⪛(($2894$↙$2171$)⨟⋌⩍(≤/$8660$)⨵⪆(∂($5601$/$4130$)))","expression":"(∃⊬173F∼∃⊬851⊭↱∃⊬A84⋓∃⊬6F4⪨≂(⋗⩬⋾∃⊬106C)⋳⪒∃⊬5DB⪮%⊝∃⊬6F5)⪛((∃⊬B4E↙∃⊬87B)⨟⋌⩍(≤/∃⊬21D4)⨵⪆(∂(∃⊬15E1/∃⊬1022)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2760,"operation_count":14,"complexity_ratio":197.14285714285714,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5951,"base":16},"right_expr":{"type":"numeric_atoms","value":2129,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2692,"base":16},"right_expr":{"type":"numeric_atoms","value":1780,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4204,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1499,"base":16},"right_expr":{"type":"numeric_atoms","value":1781,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2894,"base":16},"right_expr":{"type":"numeric_atoms","value":2171,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":8660,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5601,"base":16},"right_expr":{"type":"numeric_atoms","value":4130,"base":16}}}}},"used_operators":["uFcxV4UQCh","sdazOOVcIp","COABgblf1C","DyGG3AbaNP","T2fj7uvVaJ","12rbrZMWeM","DpFCA1CohY","IWmyXbctLI","2DQ55sFlQl","rGHVDoGpnC","yyfyN0ffXY","eLAdDNolq6","Uaa54Peajs","XhwjNDsVaA"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5951","layer":4},{"info":"number node, value=2129","layer":4},{"info":"compute binary expreesion, left_input=5951, right_input=2129, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2692","layer":4},{"info":"number node, value=1780","layer":4},{"info":"compute binary expreesion, left_input=2692, right_input=1780, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4204","layer":4},{"info":"compute unary expreesion, input=4204, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12612","layer":3},{"info":"number node, value=1499","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=1781, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3314","layer":3},{"info":"compute binary expreesion, left_input=-12612, right_input=3314, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-28825","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-28825, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=2894","layer":4},{"info":"number node, value=2171","layer":4},{"info":"compute binary expreesion, left_input=2894, right_input=2171, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6513","layer":3},{"info":"number node, value=8660","layer":4},{"info":"compute unary expreesion, input=8660, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-8176","layer":3},{"info":"compute binary expreesion, left_input=-6513, right_input=-8176, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5601","layer":4},{"info":"number node, value=4130","layer":4},{"info":"compute binary expreesion, left_input=5601, right_input=4130, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-265","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-265, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬173F∼∃⊬851⊭↱∃⊬A84⋓∃⊬6F4⪨≂(⋗⩬⋾∃⊬106C)⋳⪒∃⊬5DB⪮%⊝∃⊬6F5)⪛((∃⊬B4E↙∃⊬87B)⨟⋌⩍(≤/∃⊬21D4)⨵⪆(∂(∃⊬15E1/∃⊬1022)))=NaN","reverse_text":"NaN=(∃⊬173F∼∃⊬851⊭↱∃⊬A84⋓∃⊬6F4⪨≂(⋗⩬⋾∃⊬106C)⋳⪒∃⊬5DB⪮%⊝∃⊬6F5)⪛((∃⊬B4E↙∃⊬87B)⨟⋌⩍(≤/∃⊬21D4)⨵⪆(∂(∃⊬15E1/∃⊬1022)))","cot":[{"info":"∃⊬173F∼∃⊬851=NaN","layer":3},{"info":"∃⊬A84⋓∃⊬6F4=∃⊬0","layer":3},{"info":"NaN⊭↱∃⊬0=NaN","layer":2},{"info":"⋗⩬⋾∃⊬106C=∃⊬-3144","layer":3},{"info":"∃⊬5DB⪮%⊝∃⊬6F5=∃⊬CF2","layer":3},{"info":"∃⊬-3144⋳⪒∃⊬CF2=∃⊬-7099","layer":2},{"info":"NaN⪨≂∃⊬-7099=NaN","layer":1},{"info":"∃⊬B4E↙∃⊬87B=∃⊬-1971","layer":3},{"info":"≤/∃⊬21D4=∃⊬-1FF0","layer":3},{"info":"∃⊬-1971⨟⋌⩍∃⊬-1FF0=NaN","layer":2},{"info":"∃⊬15E1/∃⊬1022=∃⊬1","layer":3},{"info":"∂∃⊬1=∃⊬-109","layer":2},{"info":"NaN⨵⪆∃⊬-109=∃⊬A0","layer":1},{"info":"NaN⪛∃⊬A0=NaN","layer":0}]}
{"id":382,"expression_no_base_symbol":"((↥$2924$)∼($3436$⊭∹↮)⩤)↙(($4105$⇷$5054$⋷$5675$⨳⩥⨓$4645$)⪄($5771$≫≃)≭($4329$⊦⊿))","expression":"((↥∃⊬B6C)∼(∃⊬D6C⊭∹↮)⩤)↙((∃⊬1009⇷∃⊬13BE⋷∃⊬162B⨳⩥⨓∃⊬1225)⪄(∃⊬168B≫≃)≭(∃⊬10E9⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":57656,"operation_count":12,"complexity_ratio":4804.666666666667,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2924,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3436,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4105,"base":16},"right_expr":{"type":"numeric_atoms","value":5054,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5675,"base":16},"right_expr":{"type":"numeric_atoms","value":4645,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5771,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4329,"base":16}}}}},"used_operators":["yyfyN0ffXY","Z2TMIBDE3Q","DyGG3AbaNP","A8NUZmVepG","xNBdhnnwKq","SUmda5xLS4","23Mk6UjR3U","mp7IySMOzn","nCS4ZIUYfx","rxpJgHHUmx","X99M06cbEe","14qkJME0vr"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2924","layer":4},{"info":"compute unary expreesion, input=2924, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"number node, value=3436","layer":4},{"info":"compute unary expreesion, input=3436, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6872","layer":3},{"info":"compute binary expreesion, left_input=17, right_input=6872, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=4105","layer":4},{"info":"number node, value=5054","layer":4},{"info":"compute binary expreesion, left_input=4105, right_input=5054, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10108","layer":3},{"info":"number node, value=5675","layer":4},{"info":"number node, value=4645","layer":4},{"info":"compute binary expreesion, left_input=5675, right_input=4645, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1030","layer":3},{"info":"compute binary expreesion, left_input=10108, right_input=-1030, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-12168","layer":2},{"info":"number node, value=5771","layer":4},{"info":"compute unary expreesion, input=5771, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12943","layer":3},{"info":"number node, value=4329","layer":4},{"info":"compute unary expreesion, input=4329, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-13066","layer":3},{"info":"compute binary expreesion, left_input=12943, right_input=-13066, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-12168, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↥∃⊬B6C)∼(∃⊬D6C⊭∹↮)⩤)↙((∃⊬1009⇷∃⊬13BE⋷∃⊬162B⨳⩥⨓∃⊬1225)⪄(∃⊬168B≫≃)≭(∃⊬10E9⊦⊿))=NaN","reverse_text":"NaN=((↥∃⊬B6C)∼(∃⊬D6C⊭∹↮)⩤)↙((∃⊬1009⇷∃⊬13BE⋷∃⊬162B⨳⩥⨓∃⊬1225)⪄(∃⊬168B≫≃)≭(∃⊬10E9⊦⊿))","cot":[{"info":"↥∃⊬B6C=∃⊬11","layer":3},{"info":"∃⊬D6C⊭∹↮=∃⊬1AD8","layer":3},{"info":"∃⊬11∼∃⊬1AD8=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"∃⊬1009⇷∃⊬13BE=∃⊬277C","layer":3},{"info":"∃⊬162B⨳⩥⨓∃⊬1225=∃⊬-406","layer":3},{"info":"∃⊬277C⋷∃⊬-406=∃⊬-2F88","layer":2},{"info":"∃⊬168B≫≃=∃⊬328F","layer":3},{"info":"∃⊬10E9⊦⊿=∃⊬-330A","layer":3},{"info":"∃⊬328F≭∃⊬-330A=NaN","layer":2},{"info":"∃⊬-2F88⪄NaN=∃⊬F8B","layer":1},{"info":"NaN↙∃⊬F8B=NaN","layer":0}]}
{"id":383,"expression_no_base_symbol":"+⊝⨔(≉$3660$⩚⊴⇥$1764$⩚⊴⇥($1598$⨵⪆$2353$))","expression":"+⊝⨔(≉∃⊬E4C⩚⊴⇥∃⊬6E4⩚⊴⇥(∃⊬63E⨵⪆∃⊬931))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":49,"operation_count":5,"complexity_ratio":9.8,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3660,"base":16},"right_expr":{"type":"numeric_atoms","value":1764,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1598,"base":16},"right_expr":{"type":"numeric_atoms","value":2353,"base":16}}}}},"used_operators":["DhbWaqg5eL","e1ybzncUwg","NTOWxs364D","2DQ55sFlQl"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3660","layer":4},{"info":"number node, value=1764","layer":4},{"info":"compute binary expreesion, left_input=3660, right_input=1764, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5545","layer":3},{"info":"number node, value=1598","layer":4},{"info":"number node, value=2353","layer":4},{"info":"compute binary expreesion, left_input=1598, right_input=2353, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5545, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=5264","layer":2},{"info":"compute unary expreesion, input=5264, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5795","layer":1},{"info":"compute unary expreesion, input=5795, 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":"+⊝⨔(≉∃⊬E4C⩚⊴⇥∃⊬6E4⩚⊴⇥(∃⊬63E⨵⪆∃⊬931))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(≉∃⊬E4C⩚⊴⇥∃⊬6E4⩚⊴⇥(∃⊬63E⨵⪆∃⊬931))","cot":[{"info":"∃⊬E4C⩚⊴⇥∃⊬6E4=∃⊬-15A9","layer":3},{"info":"∃⊬63E⨵⪆∃⊬931=∃⊬A0","layer":3},{"info":"∃⊬-15A9⩚⊴⇥∃⊬A0=∃⊬1490","layer":2},{"info":"≉∃⊬1490=∃⊬16A3","layer":1},{"info":"+⊝⨔∃⊬16A3=∃⊬5F2","layer":0}]}
{"id":384,"expression_no_base_symbol":"(($1326$⩤)⩷∴($1565$⊘)⇋≉)∀⇚≩((≉$6380$↺$1935$)⨳⩥⨓(($1037$⊦⊿)⪨≂$9130$∲⫓$3232$))","expression":"((∃⊬52E⩤)⩷∴(∃⊬61D⊘)⇋≉)∀⇚≩((≉∃⊬18EC↺∃⊬78F)⨳⩥⨓((∃⊬40D⊦⊿)⪨≂∃⊬23AA∲⫓∃⊬CA0))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38311,"operation_count":11,"complexity_ratio":3482.818181818182,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1326,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1565,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6380,"base":16},"right_expr":{"type":"numeric_atoms","value":1935,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1037,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":9130,"base":16},"right_expr":{"type":"numeric_atoms","value":3232,"base":16}}}}},"used_operators":["LRNGc0VcxI","XIabStNQrY","9FxExcQeMw","Z2TMIBDE3Q","gu96TGCTMs","nCS4ZIUYfx","e1ybzncUwg","7j4O788W3g","sdazOOVcIp","14qkJME0vr","i8ToyICDmI"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1326","layer":4},{"info":"compute unary expreesion, input=1326, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1326","layer":3},{"info":"number node, value=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1326, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2684","layer":2},{"info":"compute unary expreesion, input=-2684, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-5466","layer":1},{"info":"number node, value=6380","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=6380, right_input=1935, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1935","layer":3},{"info":"compute unary expreesion, input=1935, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2466","layer":2},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-3190","layer":3},{"info":"number node, value=9130","layer":4},{"info":"number node, value=3232","layer":4},{"info":"compute binary expreesion, left_input=9130, right_input=3232, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3190, 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=-6278","layer":2},{"info":"compute binary expreesion, left_input=2466, right_input=-6278, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8744","layer":1},{"info":"compute binary expreesion, left_input=-5466, right_input=-8744, 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":"((∃⊬52E⩤)⩷∴(∃⊬61D⊘)⇋≉)∀⇚≩((≉∃⊬18EC↺∃⊬78F)⨳⩥⨓((∃⊬40D⊦⊿)⪨≂∃⊬23AA∲⫓∃⊬CA0))=NaN","reverse_text":"NaN=((∃⊬52E⩤)⩷∴(∃⊬61D⊘)⇋≉)∀⇚≩((≉∃⊬18EC↺∃⊬78F)⨳⩥⨓((∃⊬40D⊦⊿)⪨≂∃⊬23AA∲⫓∃⊬CA0))","cot":[{"info":"∃⊬52E⩤=∃⊬-52E","layer":3},{"info":"∃⊬61D⊘=∃⊬0","layer":3},{"info":"∃⊬-52E⩷∴∃⊬0=∃⊬-A7C","layer":2},{"info":"∃⊬-A7C⇋≉=∃⊬-155A","layer":1},{"info":"∃⊬18EC↺∃⊬78F=∃⊬78F","layer":3},{"info":"≉∃⊬78F=∃⊬9A2","layer":2},{"info":"∃⊬40D⊦⊿=∃⊬-C76","layer":3},{"info":"∃⊬23AA∲⫓∃⊬CA0=∃⊬0","layer":3},{"info":"∃⊬-C76⪨≂∃⊬0=∃⊬-1886","layer":2},{"info":"∃⊬9A2⨳⩥⨓∃⊬-1886=∃⊬-2228","layer":1},{"info":"∃⊬-155A∀⇚≩∃⊬-2228=NaN","layer":0}]}
{"id":385,"expression_no_base_symbol":"((↣≠⋷$5963$)↬($1892$⩚⊴⇥$1620$)%($4128$⩷∴$2028$)∀⇚≩($5404$⋝⋈⪟$3519$))⊴((⋗⩬⋾$1149$∼$3098$)⫥∨⫟$5888$⪘⫢$3814$⋝⋈⪟($2109$↛⩡⫤))","expression":"((↣≠⋷∃⊬174B)↬(∃⊬764⩚⊴⇥∃⊬654)%(∃⊬1020⩷∴∃⊬7EC)∀⇚≩(∃⊬151C⋝⋈⪟∃⊬DBF))⊴((⋗⩬⋾∃⊬47D∼∃⊬C1A)⫥∨⫟∃⊬1700⪘⫢∃⊬EE6⋝⋈⪟(∃⊬83D↛⩡⫤))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":35860,"operation_count":14,"complexity_ratio":2561.4285714285716,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5963,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1892,"base":16},"right_expr":{"type":"numeric_atoms","value":1620,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4128,"base":16},"right_expr":{"type":"numeric_atoms","value":2028,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5404,"base":16},"right_expr":{"type":"numeric_atoms","value":3519,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1149,"base":16},"right_expr":{"type":"numeric_atoms","value":3098,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5888,"base":16},"right_expr":{"type":"numeric_atoms","value":3814,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2109,"base":16}}}}},"used_operators":["Nsiff2A1zJ","k8jYdgA6NY","B5M0gjZbta","Asc51vEJeQ","NTOWxs364D","LRNGc0VcxI","9FxExcQeMw","2DDjHMKMc0","KYD54nUTWz","DpFCA1CohY","DyGG3AbaNP","oacrs7FA3X","FU0Cs4j7VP"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","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=5963","layer":4},{"info":"compute unary expreesion, input=5963, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1892","layer":4},{"info":"number node, value=1620","layer":4},{"info":"compute binary expreesion, left_input=1892, right_input=1620, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3633","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3633, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4128","layer":4},{"info":"number node, value=2028","layer":4},{"info":"compute binary expreesion, left_input=4128, right_input=2028, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4168","layer":3},{"info":"number node, value=5404","layer":4},{"info":"number node, value=3519","layer":4},{"info":"compute binary expreesion, left_input=5404, right_input=3519, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5404","layer":3},{"info":"compute binary expreesion, left_input=4168, right_input=5404, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=3098, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=5888","layer":4},{"info":"number node, value=3814","layer":4},{"info":"compute binary expreesion, left_input=5888, right_input=3814, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11652","layer":3},{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-314548","layer":3},{"info":"compute binary expreesion, left_input=11652, right_input=-314548, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=11652","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11652, 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↣≠⋷∃⊬174B)↬(∃⊬764⩚⊴⇥∃⊬654)%(∃⊬1020⩷∴∃⊬7EC)∀⇚≩(∃⊬151C⋝⋈⪟∃⊬DBF))⊴((⋗⩬⋾∃⊬47D∼∃⊬C1A)⫥∨⫟∃⊬1700⪘⫢∃⊬EE6⋝⋈⪟(∃⊬83D↛⩡⫤))=NaN","reverse_text":"NaN=((↣≠⋷∃⊬174B)↬(∃⊬764⩚⊴⇥∃⊬654)%(∃⊬1020⩷∴∃⊬7EC)∀⇚≩(∃⊬151C⋝⋈⪟∃⊬DBF))⊴((⋗⩬⋾∃⊬47D∼∃⊬C1A)⫥∨⫟∃⊬1700⪘⫢∃⊬EE6⋝⋈⪟(∃⊬83D↛⩡⫤))","cot":[{"info":"↣≠⋷∃⊬174B=NaN","layer":3},{"info":"∃⊬764⩚⊴⇥∃⊬654=∃⊬-E31","layer":3},{"info":"NaN↬∃⊬-E31=NaN","layer":2},{"info":"∃⊬1020⩷∴∃⊬7EC=∃⊬1048","layer":3},{"info":"∃⊬151C⋝⋈⪟∃⊬DBF=∃⊬151C","layer":3},{"info":"∃⊬1048∀⇚≩∃⊬151C=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"∃⊬47D∼∃⊬C1A=NaN","layer":3},{"info":"⋗⩬⋾NaN=NaN","layer":2},{"info":"∃⊬1700⪘⫢∃⊬EE6=∃⊬2D84","layer":3},{"info":"∃⊬83D↛⩡⫤=∃⊬-4CCB4","layer":3},{"info":"∃⊬2D84⋝⋈⪟∃⊬-4CCB4=∃⊬2D84","layer":2},{"info":"NaN⫥∨⫟∃⊬2D84=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":386,"expression_no_base_symbol":"(($2922$⨰$4368$)⨪↰⇹($5194$+$1837$))⪮%⊝(↽≂$5050$⊴$1738$)⪘⫢((($2099$⇼⇔∾$3273$)⩚⊴⇥(⊙↵-$1125$))⨰((↥$3967$)⨸⪁(⊙↵-$1356$)))","expression":"((∃⊬B6A⨰∃⊬1110)⨪↰⇹(∃⊬144A+∃⊬72D))⪮%⊝(↽≂∃⊬13BA⊴∃⊬6CA)⪘⫢(((∃⊬833⇼⇔∾∃⊬CC9)⩚⊴⇥(⊙↵-∃⊬465))⨰((↥∃⊬F7F)⨸⪁(⊙↵-∃⊬54C)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6119,"operation_count":14,"complexity_ratio":437.07142857142856,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2922,"base":16},"right_expr":{"type":"numeric_atoms","value":4368,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5194,"base":16},"right_expr":{"type":"numeric_atoms","value":1837,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5050,"base":16},"right_expr":{"type":"numeric_atoms","value":1738,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2099,"base":16},"right_expr":{"type":"numeric_atoms","value":3273,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1125,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3967,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1356,"base":16}}}}},"used_operators":["oacrs7FA3X","IWmyXbctLI","tmPS8pqC7x","eewbuw0ToL","W4YGzv6Whe","u6S6b8DprG","Nsiff2A1zJ","NTOWxs364D","tifHPKVTfV","oWn0xqSxBt","g55IO6H4Gj","A8NUZmVepG"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2922","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=2922, right_input=4368, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1436","layer":3},{"info":"number node, value=5194","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=5194, right_input=1837, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7031","layer":3},{"info":"compute binary expreesion, left_input=-1436, right_input=7031, 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=-1436","layer":2},{"info":"number node, value=5050","layer":4},{"info":"number node, value=1738","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=1738, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1436, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=2099","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=2099, right_input=3273, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1174","layer":3},{"info":"number node, value=1125","layer":4},{"info":"compute unary expreesion, input=1125, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1174, right_input=-1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1294","layer":2},{"info":"number node, value=3967","layer":4},{"info":"compute unary expreesion, input=3967, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=40","layer":3},{"info":"number node, value=1356","layer":4},{"info":"compute unary expreesion, input=1356, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=40, right_input=-1, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=78","layer":2},{"info":"compute binary expreesion, left_input=-1294, right_input=78, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1362","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-1362, 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":"((∃⊬B6A⨰∃⊬1110)⨪↰⇹(∃⊬144A+∃⊬72D))⪮%⊝(↽≂∃⊬13BA⊴∃⊬6CA)⪘⫢(((∃⊬833⇼⇔∾∃⊬CC9)⩚⊴⇥(⊙↵-∃⊬465))⨰((↥∃⊬F7F)⨸⪁(⊙↵-∃⊬54C)))=NaN","reverse_text":"NaN=((∃⊬B6A⨰∃⊬1110)⨪↰⇹(∃⊬144A+∃⊬72D))⪮%⊝(↽≂∃⊬13BA⊴∃⊬6CA)⪘⫢(((∃⊬833⇼⇔∾∃⊬CC9)⩚⊴⇥(⊙↵-∃⊬465))⨰((↥∃⊬F7F)⨸⪁(⊙↵-∃⊬54C)))","cot":[{"info":"∃⊬B6A⨰∃⊬1110=∃⊬-59C","layer":3},{"info":"∃⊬144A+∃⊬72D=∃⊬1B77","layer":3},{"info":"∃⊬-59C⨪↰⇹∃⊬1B77=∃⊬-59C","layer":2},{"info":"∃⊬13BA⊴∃⊬6CA=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"∃⊬-59C⪮%⊝NaN=NaN","layer":1},{"info":"∃⊬833⇼⇔∾∃⊬CC9=∃⊬496","layer":3},{"info":"⊙↵-∃⊬465=∃⊬-1","layer":3},{"info":"∃⊬496⩚⊴⇥∃⊬-1=∃⊬-50E","layer":2},{"info":"↥∃⊬F7F=∃⊬28","layer":3},{"info":"⊙↵-∃⊬54C=∃⊬-1","layer":3},{"info":"∃⊬28⨸⪁∃⊬-1=∃⊬4E","layer":2},{"info":"∃⊬-50E⨰∃⊬4E=∃⊬-552","layer":1},{"info":"NaN⪘⫢∃⊬-552=NaN","layer":0}]}
{"id":387,"expression_no_base_symbol":"↩($1753$⩷∴$2778$/$3966$↺$1183$)⫸⊐(($1921$⫡⨏$1091$)-(⊙↵-$1011$))","expression":"↩(∃⊬6D9⩷∴∃⊬ADA/∃⊬F7E↺∃⊬49F)⫸⊐((∃⊬781⫡⨏∃⊬443)-(⊙↵-∃⊬3F3))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1094,"operation_count":8,"complexity_ratio":136.75,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1753,"base":16},"right_expr":{"type":"numeric_atoms","value":2778,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3966,"base":16},"right_expr":{"type":"numeric_atoms","value":1183,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1921,"base":16},"right_expr":{"type":"numeric_atoms","value":1091,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1011,"base":16}}}}},"used_operators":["jLgFTUHLKL","mqXw5SEYmG","XhwjNDsVaA","9FxExcQeMw","7j4O788W3g","rysDP5nf3Z","QMFrweE19q","oWn0xqSxBt"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬-434","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1753","layer":4},{"info":"number node, value=2778","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=2778, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2082","layer":3},{"info":"number node, value=3966","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=3966, right_input=1183, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1183","layer":3},{"info":"compute binary expreesion, left_input=-2082, right_input=1183, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"number node, value=1921","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=1921, right_input=1091, 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=12570","layer":3},{"info":"number node, value=1011","layer":4},{"info":"compute unary expreesion, input=1011, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=12570, right_input=-1, op_id = rysDP5nf3Z binary_op_definition= 'None', output=12571","layer":2},{"info":"compute binary expreesion, left_input=-2, right_input=12571, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=482","layer":1},{"info":"compute unary expreesion, input=482, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-1076","layer":0}],"base":16,"result_base":16,"text":"↩(∃⊬6D9⩷∴∃⊬ADA/∃⊬F7E↺∃⊬49F)⫸⊐((∃⊬781⫡⨏∃⊬443)-(⊙↵-∃⊬3F3))=∃⊬-434","reverse_text":"∃⊬-434=↩(∃⊬6D9⩷∴∃⊬ADA/∃⊬F7E↺∃⊬49F)⫸⊐((∃⊬781⫡⨏∃⊬443)-(⊙↵-∃⊬3F3))","cot":[{"info":"∃⊬6D9⩷∴∃⊬ADA=∃⊬-822","layer":3},{"info":"∃⊬F7E↺∃⊬49F=∃⊬49F","layer":3},{"info":"∃⊬-822/∃⊬49F=∃⊬-2","layer":2},{"info":"∃⊬781⫡⨏∃⊬443=∃⊬311A","layer":3},{"info":"⊙↵-∃⊬3F3=∃⊬-1","layer":3},{"info":"∃⊬311A-∃⊬-1=∃⊬311B","layer":2},{"info":"∃⊬-2⫸⊐∃⊬311B=∃⊬1E2","layer":1},{"info":"↩∃⊬1E2=∃⊬-434","layer":0}]}
{"id":388,"expression_no_base_symbol":"(+⊝⨔($4688$⨰$4079$⨽($1146$⫌⩹⨱)))+⇶⊼($1494$⊴$3251$⪢($5181$⪘⫢$7069$)⪄(($1378$⇋≉)/(≤/$2188$)))","expression":"(+⊝⨔(∃⊬1250⨰∃⊬FEF⨽(∃⊬47A⫌⩹⨱)))+⇶⊼(∃⊬5D6⊴∃⊬CB3⪢(∃⊬143D⪘⫢∃⊬1B9D)⪄((∃⊬562⇋≉)/(≤/∃⊬88C)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14199,"operation_count":12,"complexity_ratio":1183.25,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4688,"base":16},"right_expr":{"type":"numeric_atoms","value":4079,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1146,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1494,"base":16},"right_expr":{"type":"numeric_atoms","value":3251,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5181,"base":16},"right_expr":{"type":"numeric_atoms","value":7069,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1378,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2188,"base":16}}}}},"used_operators":["TpPTUOHfaN","DhbWaqg5eL","8HhzD0ZcuI","eewbuw0ToL","EBcxylXtPf","SUmda5xLS4","dWAJyo7jo9","Nsiff2A1zJ","oacrs7FA3X","XhwjNDsVaA","XIabStNQrY","eLAdDNolq6"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4688","layer":4},{"info":"number node, value=4079","layer":4},{"info":"compute binary expreesion, left_input=4688, right_input=4079, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=619","layer":3},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3693","layer":3},{"info":"compute binary expreesion, left_input=619, right_input=3693, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1159248","layer":2},{"info":"compute unary expreesion, input=-1159248, 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=1494","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=3251, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5181","layer":4},{"info":"number node, value=7069","layer":4},{"info":"compute binary expreesion, left_input=5181, right_input=7069, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=10238","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10238, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2658","layer":3},{"info":"number node, value=2188","layer":4},{"info":"compute unary expreesion, input=2188, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1704","layer":3},{"info":"compute binary expreesion, left_input=2658, right_input=-1704, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-2","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=1522, right_input=3979, 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":"(+⊝⨔(∃⊬1250⨰∃⊬FEF⨽(∃⊬47A⫌⩹⨱)))+⇶⊼(∃⊬5D6⊴∃⊬CB3⪢(∃⊬143D⪘⫢∃⊬1B9D)⪄((∃⊬562⇋≉)/(≤/∃⊬88C)))=NaN","reverse_text":"NaN=(+⊝⨔(∃⊬1250⨰∃⊬FEF⨽(∃⊬47A⫌⩹⨱)))+⇶⊼(∃⊬5D6⊴∃⊬CB3⪢(∃⊬143D⪘⫢∃⊬1B9D)⪄((∃⊬562⇋≉)/(≤/∃⊬88C)))","cot":[{"info":"∃⊬1250⨰∃⊬FEF=∃⊬26B","layer":3},{"info":"∃⊬47A⫌⩹⨱=∃⊬E6D","layer":3},{"info":"∃⊬26B⨽∃⊬E6D=∃⊬-11B050","layer":2},{"info":"+⊝⨔∃⊬-11B050=∃⊬5F2","layer":1},{"info":"∃⊬5D6⊴∃⊬CB3=NaN","layer":3},{"info":"∃⊬143D⪘⫢∃⊬1B9D=∃⊬27FE","layer":3},{"info":"NaN⪢∃⊬27FE=NaN","layer":2},{"info":"∃⊬562⇋≉=∃⊬A62","layer":3},{"info":"≤/∃⊬88C=∃⊬-6A8","layer":3},{"info":"∃⊬A62/∃⊬-6A8=∃⊬-2","layer":2},{"info":"NaN⪄∃⊬-2=∃⊬F8B","layer":1},{"info":"∃⊬5F2+⇶⊼∃⊬F8B=NaN","layer":0}]}
{"id":389,"expression_no_base_symbol":"(≤/$2450$⊴$3145$)⪘⫢(⊙↵-($1324$-$6318$))⪨≂(($1325$⪒$6669$)⨸⪁$8143$⪛$1043$)⨟⋌⩍($1268$∑⇟⊟$1497$⨰(⨈⫕$3271$))","expression":"(≤/∃⊬992⊴∃⊬C49)⪘⫢(⊙↵-(∃⊬52C-∃⊬18AE))⪨≂((∃⊬52D⪒∃⊬1A0D)⨸⪁∃⊬1FCF⪛∃⊬413)⨟⋌⩍(∃⊬4F4∑⇟⊟∃⊬5D9⨰(⨈⫕∃⊬CC7))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":8603,"operation_count":13,"complexity_ratio":661.7692307692307,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2450,"base":16},"right_expr":{"type":"numeric_atoms","value":3145,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1324,"base":16},"right_expr":{"type":"numeric_atoms","value":6318,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1325,"base":16},"right_expr":{"type":"numeric_atoms","value":6669,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":8143,"base":16},"right_expr":{"type":"numeric_atoms","value":1043,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1268,"base":16},"right_expr":{"type":"numeric_atoms","value":1497,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3271,"base":16}}}}},"used_operators":["sdazOOVcIp","oacrs7FA3X","eLAdDNolq6","Nsiff2A1zJ","oWn0xqSxBt","rysDP5nf3Z","rGHVDoGpnC","g55IO6H4Gj","f6k1SAg4EE","uFcxV4UQCh","eewbuw0ToL","U7g4x0WXJJ","megm06wKyl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2450","layer":4},{"info":"number node, value=3145","layer":4},{"info":"compute binary expreesion, left_input=2450, right_input=3145, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1324","layer":4},{"info":"number node, value=6318","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=6318, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4994","layer":3},{"info":"compute unary expreesion, input=-4994, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=196, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=1325","layer":4},{"info":"number node, value=6669","layer":4},{"info":"compute binary expreesion, left_input=1325, right_input=6669, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7994","layer":3},{"info":"number node, value=8143","layer":4},{"info":"number node, value=1043","layer":4},{"info":"compute binary expreesion, left_input=8143, right_input=1043, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=842","layer":3},{"info":"compute binary expreesion, left_input=-7994, right_input=842, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-14304","layer":2},{"info":"number node, value=1268","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=1268, right_input=1497, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3271","layer":4},{"info":"compute unary expreesion, input=3271, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14304, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬992⊴∃⊬C49)⪘⫢(⊙↵-(∃⊬52C-∃⊬18AE))⪨≂((∃⊬52D⪒∃⊬1A0D)⨸⪁∃⊬1FCF⪛∃⊬413)⨟⋌⩍(∃⊬4F4∑⇟⊟∃⊬5D9⨰(⨈⫕∃⊬CC7))=NaN","reverse_text":"NaN=(≤/∃⊬992⊴∃⊬C49)⪘⫢(⊙↵-(∃⊬52C-∃⊬18AE))⪨≂((∃⊬52D⪒∃⊬1A0D)⨸⪁∃⊬1FCF⪛∃⊬413)⨟⋌⩍(∃⊬4F4∑⇟⊟∃⊬5D9⨰(⨈⫕∃⊬CC7))","cot":[{"info":"∃⊬992⊴∃⊬C49=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬52C-∃⊬18AE=∃⊬-1382","layer":3},{"info":"⊙↵-∃⊬-1382=∃⊬C4","layer":2},{"info":"NaN⪘⫢∃⊬C4=NaN","layer":1},{"info":"∃⊬52D⪒∃⊬1A0D=∃⊬-1F3A","layer":3},{"info":"∃⊬1FCF⪛∃⊬413=∃⊬34A","layer":3},{"info":"∃⊬-1F3A⨸⪁∃⊬34A=∃⊬-37E0","layer":2},{"info":"∃⊬4F4∑⇟⊟∃⊬5D9=NaN","layer":3},{"info":"⨈⫕∃⊬CC7=∃⊬-15","layer":3},{"info":"NaN⨰∃⊬-15=NaN","layer":2},{"info":"∃⊬-37E0⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":390,"expression_no_base_symbol":"((↯⪼$1162$)⨟⋌⩍($3765$⨐⩸⫘$3583$)⋥≓≎$2327$⊴$1093$⨎(⋗⩬⋾$2101$))⨰((⫛⫱⨽($3374$+⇶⊼$5111$))⨐⩸⫘($4571$⫸⊐$3885$)⋓$1389$⨓$3887$)","expression":"((↯⪼∃⊬48A)⨟⋌⩍(∃⊬EB5⨐⩸⫘∃⊬DFF)⋥≓≎∃⊬917⊴∃⊬445⨎(⋗⩬⋾∃⊬835))⨰((⫛⫱⨽(∃⊬D2E+⇶⊼∃⊬13F7))⨐⩸⫘(∃⊬11DB⫸⊐∃⊬F2D)⋓∃⊬56D⨓∃⊬F2F)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9853,"operation_count":14,"complexity_ratio":703.7857142857143,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1162,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3765,"base":16},"right_expr":{"type":"numeric_atoms","value":3583,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2327,"base":16},"right_expr":{"type":"numeric_atoms","value":1093,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2101,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3374,"base":16},"right_expr":{"type":"numeric_atoms","value":5111,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4571,"base":16},"right_expr":{"type":"numeric_atoms","value":3885,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1389,"base":16},"right_expr":{"type":"numeric_atoms","value":3887,"base":16}}}}},"used_operators":["eewbuw0ToL","Qy55tPpLXF","rGHVDoGpnC","8jW3W4yZS5","fu6greOZ01","rJVOvQCfKK","Nsiff2A1zJ","DpFCA1CohY","DlLNRPXxWL","TpPTUOHfaN","T2fj7uvVaJ","mqXw5SEYmG","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=3765","layer":4},{"info":"number node, value=3583","layer":4},{"info":"compute binary expreesion, left_input=3765, right_input=3583, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2327","layer":4},{"info":"number node, value=1093","layer":4},{"info":"compute binary expreesion, left_input=2327, right_input=1093, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2101","layer":4},{"info":"compute unary expreesion, input=2101, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6303","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6303, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6303","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6303, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=3374","layer":4},{"info":"number node, value=5111","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=5111, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":2},{"info":"number node, value=4571","layer":4},{"info":"number node, value=3885","layer":4},{"info":"compute binary expreesion, left_input=4571, right_input=3885, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=15415","layer":3},{"info":"number node, value=1389","layer":4},{"info":"number node, value=3887","layer":4},{"info":"compute binary expreesion, left_input=1389, right_input=3887, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3890","layer":3},{"info":"compute binary expreesion, left_input=15415, right_input=-3890, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"((↯⪼∃⊬48A)⨟⋌⩍(∃⊬EB5⨐⩸⫘∃⊬DFF)⋥≓≎∃⊬917⊴∃⊬445⨎(⋗⩬⋾∃⊬835))⨰((⫛⫱⨽(∃⊬D2E+⇶⊼∃⊬13F7))⨐⩸⫘(∃⊬11DB⫸⊐∃⊬F2D)⋓∃⊬56D⨓∃⊬F2F)=NaN","reverse_text":"NaN=((↯⪼∃⊬48A)⨟⋌⩍(∃⊬EB5⨐⩸⫘∃⊬DFF)⋥≓≎∃⊬917⊴∃⊬445⨎(⋗⩬⋾∃⊬835))⨰((⫛⫱⨽(∃⊬D2E+⇶⊼∃⊬13F7))⨐⩸⫘(∃⊬11DB⫸⊐∃⊬F2D)⋓∃⊬56D⨓∃⊬F2F)","cot":[{"info":"↯⪼∃⊬48A=∃⊬-15","layer":3},{"info":"∃⊬EB5⨐⩸⫘∃⊬DFF=NaN","layer":3},{"info":"∃⊬-15⨟⋌⩍NaN=NaN","layer":2},{"info":"∃⊬917⊴∃⊬445=NaN","layer":3},{"info":"⋗⩬⋾∃⊬835=∃⊬-189F","layer":3},{"info":"NaN⨎∃⊬-189F=∃⊬-189F","layer":2},{"info":"NaN⋥≓≎∃⊬-189F=∃⊬43","layer":1},{"info":"∃⊬D2E+⇶⊼∃⊬13F7=NaN","layer":3},{"info":"⫛⫱⨽NaN=NaN","layer":2},{"info":"∃⊬11DB⫸⊐∃⊬F2D=∃⊬3C37","layer":3},{"info":"∃⊬56D⨓∃⊬F2F=∃⊬-F32","layer":3},{"info":"∃⊬3C37⋓∃⊬-F32=∃⊬0","layer":2},{"info":"NaN⨐⩸⫘∃⊬0=NaN","layer":1},{"info":"∃⊬43⨰NaN=NaN","layer":0}]}
{"id":391,"expression_no_base_symbol":"((⨑⩽⪐(⫛⫱⨽$1805$))⨽((+⊝⨔$1456$)≫≃))⊴(((⊙↵-$1827$)⩠)-($2020$+$2846$⫡⨏$5794$⩨$2419$))","expression":"((⨑⩽⪐(⫛⫱⨽∃⊬70D))⨽((+⊝⨔∃⊬5B0)≫≃))⊴(((⊙↵-∃⊬723)⩠)-(∃⊬7E4+∃⊬B1E⫡⨏∃⊬16A2⩨∃⊬973))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":55577,"operation_count":12,"complexity_ratio":4631.416666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1805,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1456,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1827,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":2846,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5794,"base":16},"right_expr":{"type":"numeric_atoms","value":2419,"base":16}}}}},"used_operators":["Nsiff2A1zJ","8HhzD0ZcuI","AF7qkfDlqP","DlLNRPXxWL","X99M06cbEe","DhbWaqg5eL","rysDP5nf3Z","sJAwomhLZr","oWn0xqSxBt","QMFrweE19q","W4YGzv6Whe","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1805","layer":4},{"info":"compute unary expreesion, input=1805, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=789","layer":2},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4445","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=4445, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-1879584","layer":1},{"info":"number node, value=1827","layer":4},{"info":"compute unary expreesion, input=1827, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=213","layer":2},{"info":"number node, value=2020","layer":4},{"info":"number node, value=2846","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=2846, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4866","layer":3},{"info":"number node, value=5794","layer":4},{"info":"number node, value=2419","layer":4},{"info":"compute binary expreesion, left_input=5794, right_input=2419, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4866, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=25113","layer":2},{"info":"compute binary expreesion, left_input=213, right_input=25113, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-24900","layer":1},{"info":"compute binary expreesion, left_input=-1879584, right_input=-24900, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨑⩽⪐(⫛⫱⨽∃⊬70D))⨽((+⊝⨔∃⊬5B0)≫≃))⊴(((⊙↵-∃⊬723)⩠)-(∃⊬7E4+∃⊬B1E⫡⨏∃⊬16A2⩨∃⊬973))=NaN","reverse_text":"NaN=((⨑⩽⪐(⫛⫱⨽∃⊬70D))⨽((+⊝⨔∃⊬5B0)≫≃))⊴(((⊙↵-∃⊬723)⩠)-(∃⊬7E4+∃⊬B1E⫡⨏∃⊬16A2⩨∃⊬973))","cot":[{"info":"⫛⫱⨽∃⊬70D=∃⊬0","layer":3},{"info":"⨑⩽⪐∃⊬0=∃⊬315","layer":2},{"info":"+⊝⨔∃⊬5B0=∃⊬5F2","layer":3},{"info":"∃⊬5F2≫≃=∃⊬115D","layer":2},{"info":"∃⊬315⨽∃⊬115D=∃⊬-1CAE20","layer":1},{"info":"⊙↵-∃⊬723=∃⊬-1","layer":3},{"info":"∃⊬-1⩠=∃⊬D5","layer":2},{"info":"∃⊬7E4+∃⊬B1E=∃⊬1302","layer":3},{"info":"∃⊬16A2⩨∃⊬973=∃⊬0","layer":3},{"info":"∃⊬1302⫡⨏∃⊬0=∃⊬6219","layer":2},{"info":"∃⊬D5-∃⊬6219=∃⊬-6144","layer":1},{"info":"∃⊬-1CAE20⊴∃⊬-6144=NaN","layer":0}]}
{"id":392,"expression_no_base_symbol":"(($2132$⊦⊿)≧⫂∧(↯⪼$2873$)/((⨰⫟⨤$3956$)⊭∹↮))⇼⇔∾($2476$⨓$1183$⋳⪒($1287$⊪))⪛(($1055$⪒$1170$)∼($8010$⨓$1073$))","expression":"((∃⊬854⊦⊿)≧⫂∧(↯⪼∃⊬B39)/((⨰⫟⨤∃⊬F74)⊭∹↮))⇼⇔∾(∃⊬9AC⨓∃⊬49F⋳⪒(∃⊬507⊪))⪛((∃⊬41F⪒∃⊬492)∼(∃⊬1F4A⨓∃⊬431))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17391,"operation_count":14,"complexity_ratio":1242.2142857142858,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2132,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2873,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3956,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2476,"base":16},"right_expr":{"type":"numeric_atoms","value":1183,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1287,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":1170,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":8010,"base":16},"right_expr":{"type":"numeric_atoms","value":1073,"base":16}}}}},"used_operators":["tifHPKVTfV","XhwjNDsVaA","Ph9nP6C5qx","14qkJME0vr","8jW3W4yZS5","xNBdhnnwKq","Tw270M8GLb","uFcxV4UQCh","12rbrZMWeM","3ViojmjbAp","zVYPLywUTj","DyGG3AbaNP","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2132","layer":4},{"info":"compute unary expreesion, input=2132, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6475","layer":3},{"info":"number node, value=2873","layer":4},{"info":"compute unary expreesion, input=2873, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-6475, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":2},{"info":"number node, value=3956","layer":4},{"info":"compute unary expreesion, input=3956, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-494, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2476","layer":4},{"info":"number node, value=1183","layer":4},{"info":"compute binary expreesion, left_input=2476, right_input=1183, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1186","layer":3},{"info":"number node, value=1287","layer":4},{"info":"compute unary expreesion, input=1287, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1186, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2659","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1170","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1170, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2225","layer":3},{"info":"number node, value=8010","layer":4},{"info":"number node, value=1073","layer":4},{"info":"compute binary expreesion, left_input=8010, right_input=1073, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1076","layer":3},{"info":"compute binary expreesion, left_input=-2225, right_input=-1076, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2659, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬854⊦⊿)≧⫂∧(↯⪼∃⊬B39)/((⨰⫟⨤∃⊬F74)⊭∹↮))⇼⇔∾(∃⊬9AC⨓∃⊬49F⋳⪒(∃⊬507⊪))⪛((∃⊬41F⪒∃⊬492)∼(∃⊬1F4A⨓∃⊬431))=NaN","reverse_text":"NaN=((∃⊬854⊦⊿)≧⫂∧(↯⪼∃⊬B39)/((⨰⫟⨤∃⊬F74)⊭∹↮))⇼⇔∾(∃⊬9AC⨓∃⊬49F⋳⪒(∃⊬507⊪))⪛((∃⊬41F⪒∃⊬492)∼(∃⊬1F4A⨓∃⊬431))","cot":[{"info":"∃⊬854⊦⊿=∃⊬-194B","layer":3},{"info":"↯⪼∃⊬B39=∃⊬-15","layer":3},{"info":"∃⊬-194B≧⫂∧∃⊬-15=∃⊬-1EE","layer":2},{"info":"⨰⫟⨤∃⊬F74=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"∃⊬-1EE/NaN=NaN","layer":1},{"info":"∃⊬9AC⨓∃⊬49F=∃⊬-4A2","layer":3},{"info":"∃⊬507⊪=∃⊬0","layer":3},{"info":"∃⊬-4A2⋳⪒∃⊬0=∃⊬-A63","layer":2},{"info":"∃⊬41F⪒∃⊬492=∃⊬-8B1","layer":3},{"info":"∃⊬1F4A⨓∃⊬431=∃⊬-434","layer":3},{"info":"∃⊬-8B1∼∃⊬-434=NaN","layer":2},{"info":"∃⊬-A63⪛NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":393,"expression_no_base_symbol":"(($3270$⋝⋈⪟$1173$⫥∨⫟(↯⪼$1817$))⨰(⪲⇎$1236$)⨟⋌⩍($2191$⪛$3734$))↬(⨵≀≌($5698$⊘)∀⇚≩($3053$⊭↱$6144$))","expression":"((∃⊬CC6⋝⋈⪟∃⊬495⫥∨⫟(↯⪼∃⊬719))⨰(⪲⇎∃⊬4D4)⨟⋌⩍(∃⊬88F⪛∃⊬E96))↬(⨵≀≌(∃⊬1642⊘)∀⇚≩(∃⊬BED⊭↱∃⊬1800))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":231,"operation_count":12,"complexity_ratio":19.25,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3270,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1817,"base":16}}},"right_expr":{"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":2191,"base":16},"right_expr":{"type":"numeric_atoms","value":3734,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5698,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3053,"base":16},"right_expr":{"type":"numeric_atoms","value":6144,"base":16}}}}},"used_operators":["B5M0gjZbta","eewbuw0ToL","KYD54nUTWz","2DDjHMKMc0","8jW3W4yZS5","rGHVDoGpnC","XPYlsWDdGa","uFcxV4UQCh","srAu1WTS94","LRNGc0VcxI","gu96TGCTMs","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","X99M06cbEe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3270","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=3270, right_input=1173, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3270","layer":3},{"info":"number node, value=1817","layer":4},{"info":"compute unary expreesion, input=1817, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=3270, right_input=-21, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2472","layer":3},{"info":"number node, value=2191","layer":4},{"info":"number node, value=3734","layer":4},{"info":"compute binary expreesion, left_input=2191, right_input=3734, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2191","layer":3},{"info":"compute binary expreesion, left_input=2472, right_input=2191, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5698","layer":4},{"info":"compute unary expreesion, input=5698, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=3053","layer":4},{"info":"number node, value=6144","layer":4},{"info":"compute binary expreesion, left_input=3053, right_input=6144, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=6187","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=6187, 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=6187","layer":2},{"info":"compute unary expreesion, input=6187, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-18561","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-18561, 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":"((∃⊬CC6⋝⋈⪟∃⊬495⫥∨⫟(↯⪼∃⊬719))⨰(⪲⇎∃⊬4D4)⨟⋌⩍(∃⊬88F⪛∃⊬E96))↬(⨵≀≌(∃⊬1642⊘)∀⇚≩(∃⊬BED⊭↱∃⊬1800))=NaN","reverse_text":"NaN=((∃⊬CC6⋝⋈⪟∃⊬495⫥∨⫟(↯⪼∃⊬719))⨰(⪲⇎∃⊬4D4)⨟⋌⩍(∃⊬88F⪛∃⊬E96))↬(⨵≀≌(∃⊬1642⊘)∀⇚≩(∃⊬BED⊭↱∃⊬1800))","cot":[{"info":"∃⊬CC6⋝⋈⪟∃⊬495=∃⊬CC6","layer":3},{"info":"↯⪼∃⊬719=∃⊬-15","layer":3},{"info":"∃⊬CC6⫥∨⫟∃⊬-15=NaN","layer":2},{"info":"⪲⇎∃⊬4D4=∃⊬9A8","layer":3},{"info":"∃⊬88F⪛∃⊬E96=∃⊬88F","layer":3},{"info":"∃⊬9A8⨟⋌⩍∃⊬88F=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"∃⊬1642⊘=∃⊬0","layer":3},{"info":"∃⊬BED⊭↱∃⊬1800=∃⊬182B","layer":3},{"info":"∃⊬0∀⇚≩∃⊬182B=∃⊬182B","layer":2},{"info":"⨵≀≌∃⊬182B=∃⊬-4881","layer":1},{"info":"NaN↬∃⊬-4881=NaN","layer":0}]}
{"id":394,"expression_no_base_symbol":"($4625$⪢$1615$⨵⪆$4507$↺$6741$)⇷($1000$⪢$2211$)≹⇙⪍(⩦⩻⨪$3404$)⇼⇔∾($1380$⨽$3119$⫸⊐$5254$⊴$7359$)≭(($4902$↛⩡⫤)⨐⩸⫘($2334$⨵⪆$2197$))","expression":"(∃⊬1211⪢∃⊬64F⨵⪆∃⊬119B↺∃⊬1A55)⇷(∃⊬3E8⪢∃⊬8A3)≹⇙⪍(⩦⩻⨪∃⊬D4C)⇼⇔∾(∃⊬564⨽∃⊬C2F⫸⊐∃⊬1486⊴∃⊬1CBF)≭((∃⊬1326↛⩡⫤)⨐⩸⫘(∃⊬91E⨵⪆∃⊬895))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":56308,"operation_count":15,"complexity_ratio":3753.866666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4625,"base":16},"right_expr":{"type":"numeric_atoms","value":1615,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4507,"base":16},"right_expr":{"type":"numeric_atoms","value":6741,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1000,"base":16},"right_expr":{"type":"numeric_atoms","value":2211,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3404,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1380,"base":16},"right_expr":{"type":"numeric_atoms","value":3119,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5254,"base":16},"right_expr":{"type":"numeric_atoms","value":7359,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4902,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2334,"base":16},"right_expr":{"type":"numeric_atoms","value":2197,"base":16}}}}},"used_operators":["tifHPKVTfV","mp7IySMOzn","2DQ55sFlQl","dWAJyo7jo9","7j4O788W3g","AHs5Up7iyr","2td37pGCOC","rxpJgHHUmx","mqXw5SEYmG","8HhzD0ZcuI","Nsiff2A1zJ","fu6greOZ01","FU0Cs4j7VP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","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=4625","layer":4},{"info":"number node, value=1615","layer":4},{"info":"compute binary expreesion, left_input=4625, right_input=1615, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4507","layer":4},{"info":"number node, value=6741","layer":4},{"info":"compute binary expreesion, left_input=4507, right_input=6741, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6741","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6741, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=2211","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=2211, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3404","layer":4},{"info":"compute unary expreesion, input=3404, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3404","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3404, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1380","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=3119, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5721243","layer":3},{"info":"number node, value=5254","layer":4},{"info":"number node, value=7359","layer":4},{"info":"compute binary expreesion, left_input=5254, right_input=7359, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5721243, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=4902","layer":4},{"info":"compute unary expreesion, input=4902, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-736291","layer":3},{"info":"number node, value=2334","layer":4},{"info":"number node, value=2197","layer":4},{"info":"compute binary expreesion, left_input=2334, right_input=2197, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-736291, right_input=160, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=-163","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=-163, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1211⪢∃⊬64F⨵⪆∃⊬119B↺∃⊬1A55)⇷(∃⊬3E8⪢∃⊬8A3)≹⇙⪍(⩦⩻⨪∃⊬D4C)⇼⇔∾(∃⊬564⨽∃⊬C2F⫸⊐∃⊬1486⊴∃⊬1CBF)≭((∃⊬1326↛⩡⫤)⨐⩸⫘(∃⊬91E⨵⪆∃⊬895))=NaN","reverse_text":"NaN=(∃⊬1211⪢∃⊬64F⨵⪆∃⊬119B↺∃⊬1A55)⇷(∃⊬3E8⪢∃⊬8A3)≹⇙⪍(⩦⩻⨪∃⊬D4C)⇼⇔∾(∃⊬564⨽∃⊬C2F⫸⊐∃⊬1486⊴∃⊬1CBF)≭((∃⊬1326↛⩡⫤)⨐⩸⫘(∃⊬91E⨵⪆∃⊬895))","cot":[{"info":"∃⊬1211⪢∃⊬64F=NaN","layer":3},{"info":"∃⊬119B↺∃⊬1A55=∃⊬1A55","layer":3},{"info":"NaN⨵⪆∃⊬1A55=∃⊬A0","layer":2},{"info":"∃⊬3E8⪢∃⊬8A3=NaN","layer":3},{"info":"⩦⩻⨪∃⊬D4C=∃⊬D4C","layer":3},{"info":"NaN≹⇙⪍∃⊬D4C=NaN","layer":2},{"info":"∃⊬A0⇷NaN=NaN","layer":1},{"info":"∃⊬564⨽∃⊬C2F=∃⊬-574C9B","layer":3},{"info":"∃⊬1486⊴∃⊬1CBF=NaN","layer":3},{"info":"∃⊬-574C9B⫸⊐NaN=∃⊬3C8","layer":2},{"info":"∃⊬1326↛⩡⫤=∃⊬-B3C23","layer":3},{"info":"∃⊬91E⨵⪆∃⊬895=∃⊬A0","layer":3},{"info":"∃⊬-B3C23⨐⩸⫘∃⊬A0=∃⊬-A3","layer":2},{"info":"∃⊬3C8≭∃⊬-A3=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":395,"expression_no_base_symbol":"((∂$6856$)⫡⨏(⨑⩽⪐$1006$))⪢(($6418$⨐⩸⫘$7274$)⪛($1774$∑⇟⊟$1158$))⋝⋈⪟(≦∁$8024$⨟⋌⩍$3613$⊉≛↸($3680$/$1862$))","expression":"((∂∃⊬1AC8)⫡⨏(⨑⩽⪐∃⊬3EE))⪢((∃⊬1912⨐⩸⫘∃⊬1C6A)⪛(∃⊬6EE∑⇟⊟∃⊬486))⋝⋈⪟(≦∁∃⊬1F58⨟⋌⩍∃⊬E1D⊉≛↸(∃⊬E60/∃⊬746))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":27,"operation_count":12,"complexity_ratio":2.25,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6856,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1006,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6418,"base":16},"right_expr":{"type":"numeric_atoms","value":7274,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1774,"base":16},"right_expr":{"type":"numeric_atoms","value":1158,"base":16}}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":8024,"base":16},"right_expr":{"type":"numeric_atoms","value":3613,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3680,"base":16},"right_expr":{"type":"numeric_atoms","value":1862,"base":16}}}}},"used_operators":["2DDjHMKMc0","dWAJyo7jo9","QMFrweE19q","Uaa54Peajs","AF7qkfDlqP","uFcxV4UQCh","fu6greOZ01","U7g4x0WXJJ","9ICcGScMcE","DZ8iAZOCBD","rGHVDoGpnC","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","3ViojmjbAp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6856","layer":4},{"info":"compute unary expreesion, input=6856, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-733","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-733, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=6418","layer":4},{"info":"number node, value=7274","layer":4},{"info":"compute binary expreesion, left_input=6418, right_input=7274, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1774","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=1774, right_input=1158, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=8024","layer":4},{"info":"number node, value=3613","layer":4},{"info":"compute binary expreesion, left_input=8024, right_input=3613, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3680","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=3680, right_input=1862, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∂∃⊬1AC8)⫡⨏(⨑⩽⪐∃⊬3EE))⪢((∃⊬1912⨐⩸⫘∃⊬1C6A)⪛(∃⊬6EE∑⇟⊟∃⊬486))⋝⋈⪟(≦∁∃⊬1F58⨟⋌⩍∃⊬E1D⊉≛↸(∃⊬E60/∃⊬746))=NaN","reverse_text":"NaN=((∂∃⊬1AC8)⫡⨏(⨑⩽⪐∃⊬3EE))⪢((∃⊬1912⨐⩸⫘∃⊬1C6A)⪛(∃⊬6EE∑⇟⊟∃⊬486))⋝⋈⪟(≦∁∃⊬1F58⨟⋌⩍∃⊬E1D⊉≛↸(∃⊬E60/∃⊬746))","cot":[{"info":"∂∃⊬1AC8=NaN","layer":3},{"info":"⨑⩽⪐∃⊬3EE=∃⊬-2DD","layer":3},{"info":"NaN⫡⨏∃⊬-2DD=NaN","layer":2},{"info":"∃⊬1912⨐⩸⫘∃⊬1C6A=NaN","layer":3},{"info":"∃⊬6EE∑⇟⊟∃⊬486=NaN","layer":3},{"info":"NaN⪛NaN=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"∃⊬1F58⨟⋌⩍∃⊬E1D=NaN","layer":3},{"info":"∃⊬E60/∃⊬746=∃⊬1","layer":3},{"info":"NaN⊉≛↸∃⊬1=NaN","layer":2},{"info":"≦∁NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":396,"expression_no_base_symbol":"(($1719$↙$3547$∲⫓(⩦⩻⨪$3150$))⨸⪁($2752$∲⫓$1035$)⪢(⫛⫱⨽$5168$))⊦⊿","expression":"((∃⊬6B7↙∃⊬DDB∲⫓(⩦⩻⨪∃⊬C4E))⨸⪁(∃⊬AC0∲⫓∃⊬40B)⪢(⫛⫱⨽∃⊬1430))⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4989,"operation_count":8,"complexity_ratio":623.625,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1719,"base":16},"right_expr":{"type":"numeric_atoms","value":3547,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3150,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2752,"base":16},"right_expr":{"type":"numeric_atoms","value":1035,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5168,"base":16}}}}},"used_operators":["14qkJME0vr","g55IO6H4Gj","i8ToyICDmI","yyfyN0ffXY","2td37pGCOC","dWAJyo7jo9","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC"],"result":"∃⊬-4F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=3547","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=3547, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10641","layer":3},{"info":"number node, value=3150","layer":4},{"info":"compute unary expreesion, input=3150, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3150","layer":3},{"info":"compute binary expreesion, left_input=-10641, right_input=3150, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2752","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=1035, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=5168","layer":4},{"info":"compute unary expreesion, input=5168, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-79","layer":0}],"base":16,"result_base":16,"text":"((∃⊬6B7↙∃⊬DDB∲⫓(⩦⩻⨪∃⊬C4E))⨸⪁(∃⊬AC0∲⫓∃⊬40B)⪢(⫛⫱⨽∃⊬1430))⊦⊿=∃⊬-4F","reverse_text":"∃⊬-4F=((∃⊬6B7↙∃⊬DDB∲⫓(⩦⩻⨪∃⊬C4E))⨸⪁(∃⊬AC0∲⫓∃⊬40B)⪢(⫛⫱⨽∃⊬1430))⊦⊿","cot":[{"info":"∃⊬6B7↙∃⊬DDB=∃⊬-2991","layer":3},{"info":"⩦⩻⨪∃⊬C4E=∃⊬C4E","layer":3},{"info":"∃⊬-2991∲⫓∃⊬C4E=∃⊬0","layer":2},{"info":"∃⊬AC0∲⫓∃⊬40B=∃⊬0","layer":3},{"info":"⫛⫱⨽∃⊬1430=∃⊬0","layer":3},{"info":"∃⊬0⪢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬0⨸⪁∃⊬0=∃⊬0","layer":1},{"info":"∃⊬0⊦⊿=∃⊬-4F","layer":0}]}
{"id":397,"expression_no_base_symbol":"($3063$≧⫂∧$1255$↙(⋗⩬⋾$3304$)/$8796$⪘⫢$3413$⊉≛↸(-$1627$))∑⇟⊟((↣≠⋷($4628$/$1619$))-(($8476$⨐⩸⫘$1315$)⋫))","expression":"(∃⊬BF7≧⫂∧∃⊬4E7↙(⋗⩬⋾∃⊬CE8)/∃⊬225C⪘⫢∃⊬D55⊉≛↸(-∃⊬65B))∑⇟⊟((↣≠⋷(∃⊬1214/∃⊬653))-((∃⊬211C⨐⩸⫘∃⊬523)⋫))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9950,"operation_count":13,"complexity_ratio":765.3846153846154,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3063,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3304,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":8796,"base":16},"right_expr":{"type":"numeric_atoms","value":3413,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1627,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4628,"base":16},"right_expr":{"type":"numeric_atoms","value":1619,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8476,"base":16},"right_expr":{"type":"numeric_atoms","value":1315,"base":16}}}}},"used_operators":["U7g4x0WXJJ","XhwjNDsVaA","yyfyN0ffXY","Ph9nP6C5qx","DpFCA1CohY","DZ8iAZOCBD","oacrs7FA3X","t8gj7n24qd","rysDP5nf3Z","Asc51vEJeQ","JL8yIekQnl","fu6greOZ01"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3063","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=3063, right_input=1255, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=782","layer":3},{"info":"number node, value=3304","layer":4},{"info":"compute unary expreesion, input=3304, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9912","layer":3},{"info":"compute binary expreesion, left_input=782, right_input=-9912, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=29736","layer":2},{"info":"number node, value=8796","layer":4},{"info":"number node, value=3413","layer":4},{"info":"compute binary expreesion, left_input=8796, right_input=3413, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=17468","layer":3},{"info":"number node, value=1627","layer":4},{"info":"compute unary expreesion, input=1627, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1627","layer":3},{"info":"compute binary expreesion, left_input=17468, right_input=-1627, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=34936","layer":2},{"info":"compute binary expreesion, left_input=29736, right_input=34936, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=4628","layer":4},{"info":"number node, value=1619","layer":4},{"info":"compute binary expreesion, left_input=4628, right_input=1619, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=8476","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=8476, right_input=1315, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬BF7≧⫂∧∃⊬4E7↙(⋗⩬⋾∃⊬CE8)/∃⊬225C⪘⫢∃⊬D55⊉≛↸(-∃⊬65B))∑⇟⊟((↣≠⋷(∃⊬1214/∃⊬653))-((∃⊬211C⨐⩸⫘∃⊬523)⋫))=NaN","reverse_text":"NaN=(∃⊬BF7≧⫂∧∃⊬4E7↙(⋗⩬⋾∃⊬CE8)/∃⊬225C⪘⫢∃⊬D55⊉≛↸(-∃⊬65B))∑⇟⊟((↣≠⋷(∃⊬1214/∃⊬653))-((∃⊬211C⨐⩸⫘∃⊬523)⋫))","cot":[{"info":"∃⊬BF7≧⫂∧∃⊬4E7=∃⊬30E","layer":3},{"info":"⋗⩬⋾∃⊬CE8=∃⊬-26B8","layer":3},{"info":"∃⊬30E↙∃⊬-26B8=∃⊬7428","layer":2},{"info":"∃⊬225C⪘⫢∃⊬D55=∃⊬443C","layer":3},{"info":"-∃⊬65B=∃⊬-65B","layer":3},{"info":"∃⊬443C⊉≛↸∃⊬-65B=∃⊬8878","layer":2},{"info":"∃⊬7428/∃⊬8878=∃⊬0","layer":1},{"info":"∃⊬1214/∃⊬653=∃⊬2","layer":3},{"info":"↣≠⋷∃⊬2=NaN","layer":2},{"info":"∃⊬211C⨐⩸⫘∃⊬523=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"∃⊬0∑⇟⊟NaN=NaN","layer":0}]}
{"id":398,"expression_no_base_symbol":"($2050$+$3470$)↬($2915$⨵⪆$6420$)%(↔($4946$⪢$3849$))+(⋗⩬⋾(⨵≀≌$2948$↺$1406$))","expression":"(∃⊬802+∃⊬D8E)↬(∃⊬B63⨵⪆∃⊬1914)%(↔(∃⊬1352⪢∃⊬F09))+(⋗⩬⋾(⨵≀≌∃⊬B84↺∃⊬57E))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8426,"operation_count":10,"complexity_ratio":842.6,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2050,"base":16},"right_expr":{"type":"numeric_atoms","value":3470,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2915,"base":16},"right_expr":{"type":"numeric_atoms","value":6420,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":4946,"base":16},"right_expr":{"type":"numeric_atoms","value":3849,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2948,"base":16},"right_expr":{"type":"numeric_atoms","value":1406,"base":16}}}}},"used_operators":["W4YGzv6Whe","k8jYdgA6NY","B5M0gjZbta","2DQ55sFlQl","ruOEQAzv1W","dWAJyo7jo9","DpFCA1CohY","srAu1WTS94","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2050","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=3470, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5520","layer":3},{"info":"number node, value=2915","layer":4},{"info":"number node, value=6420","layer":4},{"info":"compute binary expreesion, left_input=2915, right_input=6420, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=5520, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4946","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=4946, right_input=3849, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2948","layer":4},{"info":"number node, value=1406","layer":4},{"info":"compute binary expreesion, left_input=2948, right_input=1406, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1406","layer":3},{"info":"compute unary expreesion, input=1406, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4218","layer":2},{"info":"compute unary expreesion, input=-4218, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=12654","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=12654, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬802+∃⊬D8E)↬(∃⊬B63⨵⪆∃⊬1914)%(↔(∃⊬1352⪢∃⊬F09))+(⋗⩬⋾(⨵≀≌∃⊬B84↺∃⊬57E))=NaN","reverse_text":"NaN=(∃⊬802+∃⊬D8E)↬(∃⊬B63⨵⪆∃⊬1914)%(↔(∃⊬1352⪢∃⊬F09))+(⋗⩬⋾(⨵≀≌∃⊬B84↺∃⊬57E))","cot":[{"info":"∃⊬802+∃⊬D8E=∃⊬1590","layer":3},{"info":"∃⊬B63⨵⪆∃⊬1914=∃⊬A0","layer":3},{"info":"∃⊬1590↬∃⊬A0=NaN","layer":2},{"info":"∃⊬1352⪢∃⊬F09=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"NaN%∃⊬-86=NaN","layer":1},{"info":"∃⊬B84↺∃⊬57E=∃⊬57E","layer":3},{"info":"⨵≀≌∃⊬57E=∃⊬-107A","layer":2},{"info":"⋗⩬⋾∃⊬-107A=∃⊬316E","layer":1},{"info":"NaN+∃⊬316E=NaN","layer":0}]}
{"id":399,"expression_no_base_symbol":"((↔($3715$⋓$3409$))⋥≓≎(∂(⊄⩳↩$5027$)))⨽(($5867$⊴$6600$⨵⪆(⨰⫟⨤$1302$))-(⊥($7768$+$1191$)))","expression":"((↔(∃⊬E83⋓∃⊬D51))⋥≓≎(∂(⊄⩳↩∃⊬13A3)))⨽((∃⊬16EB⊴∃⊬19C8⨵⪆(⨰⫟⨤∃⊬516))-(⊥(∃⊬1E58+∃⊬4A7)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40312,"operation_count":12,"complexity_ratio":3359.3333333333335,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3715,"base":16},"right_expr":{"type":"numeric_atoms","value":3409,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5027,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5867,"base":16},"right_expr":{"type":"numeric_atoms","value":6600,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1302,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7768,"base":16},"right_expr":{"type":"numeric_atoms","value":1191,"base":16}}}}},"used_operators":["8HhzD0ZcuI","Qy55tPpLXF","ruOEQAzv1W","T2fj7uvVaJ","Uaa54Peajs","8w2t5hMYqp","rysDP5nf3Z","2DQ55sFlQl","Nsiff2A1zJ","Tw270M8GLb","Q3PJZHRvZv","W4YGzv6Whe"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3715","layer":4},{"info":"number node, value=3409","layer":4},{"info":"compute binary expreesion, left_input=3715, right_input=3409, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=789","layer":2},{"info":"number node, value=5027","layer":4},{"info":"compute unary expreesion, input=5027, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-15081","layer":3},{"info":"compute unary expreesion, input=-15081, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=14817","layer":2},{"info":"compute binary expreesion, left_input=789, right_input=14817, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=28878","layer":1},{"info":"number node, value=5867","layer":4},{"info":"number node, value=6600","layer":4},{"info":"compute binary expreesion, left_input=5867, right_input=6600, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1302","layer":4},{"info":"compute unary expreesion, input=1302, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=7768","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=7768, right_input=1191, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8959","layer":3},{"info":"compute unary expreesion, input=8959, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=28878, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↔(∃⊬E83⋓∃⊬D51))⋥≓≎(∂(⊄⩳↩∃⊬13A3)))⨽((∃⊬16EB⊴∃⊬19C8⨵⪆(⨰⫟⨤∃⊬516))-(⊥(∃⊬1E58+∃⊬4A7)))=NaN","reverse_text":"NaN=((↔(∃⊬E83⋓∃⊬D51))⋥≓≎(∂(⊄⩳↩∃⊬13A3)))⨽((∃⊬16EB⊴∃⊬19C8⨵⪆(⨰⫟⨤∃⊬516))-(⊥(∃⊬1E58+∃⊬4A7)))","cot":[{"info":"∃⊬E83⋓∃⊬D51=∃⊬0","layer":3},{"info":"↔∃⊬0=∃⊬315","layer":2},{"info":"⊄⩳↩∃⊬13A3=∃⊬-3AE9","layer":3},{"info":"∂∃⊬-3AE9=∃⊬39E1","layer":2},{"info":"∃⊬315⋥≓≎∃⊬39E1=∃⊬70CE","layer":1},{"info":"∃⊬16EB⊴∃⊬19C8=NaN","layer":3},{"info":"⨰⫟⨤∃⊬516=NaN","layer":3},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":2},{"info":"∃⊬1E58+∃⊬4A7=∃⊬22FF","layer":3},{"info":"⊥∃⊬22FF=NaN","layer":2},{"info":"∃⊬A0-NaN=NaN","layer":1},{"info":"∃⊬70CE⨽NaN=NaN","layer":0}]}
{"id":400,"expression_no_base_symbol":"(⫛⫱⨽($5928$↙$1679$⨸⪁(⋗⩬⋾$1590$)))≣⋋","expression":"(⫛⫱⨽(∃⊬1728↙∃⊬68F⨸⪁(⋗⩬⋾∃⊬636)))≣⋋","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3114,"operation_count":5,"complexity_ratio":622.8,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5928,"base":16},"right_expr":{"type":"numeric_atoms","value":1679,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1590,"base":16}}}}},"used_operators":["Tcnh7f0tEr","DlLNRPXxWL","g55IO6H4Gj","yyfyN0ffXY","DpFCA1CohY"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5928","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=5928, right_input=1679, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5037","layer":3},{"info":"number node, value=1590","layer":4},{"info":"compute unary expreesion, input=1590, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4770","layer":3},{"info":"compute binary expreesion, left_input=-5037, right_input=-4770, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19614","layer":2},{"info":"compute unary expreesion, input=-19614, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⫛⫱⨽(∃⊬1728↙∃⊬68F⨸⪁(⋗⩬⋾∃⊬636)))≣⋋=∃⊬0","reverse_text":"∃⊬0=(⫛⫱⨽(∃⊬1728↙∃⊬68F⨸⪁(⋗⩬⋾∃⊬636)))≣⋋","cot":[{"info":"∃⊬1728↙∃⊬68F=∃⊬-13AD","layer":3},{"info":"⋗⩬⋾∃⊬636=∃⊬-12A2","layer":3},{"info":"∃⊬-13AD⨸⪁∃⊬-12A2=∃⊬-4C9E","layer":2},{"info":"⫛⫱⨽∃⊬-4C9E=∃⊬0","layer":1},{"info":"∃⊬0≣⋋=∃⊬0","layer":0}]}
{"id":401,"expression_no_base_symbol":"⨰⫟⨤(((↩$2663$)⩚⊴⇥($4311$≎⊠⪸$1314$))⋓(-$1523$⋝⋈⪟$3011$))","expression":"⨰⫟⨤(((↩∃⊬A67)⩚⊴⇥(∃⊬10D7≎⊠⪸∃⊬522))⋓(-∃⊬5F3⋝⋈⪟∃⊬BC3))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1200,"operation_count":7,"complexity_ratio":171.42857142857142,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2663,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4311,"base":16},"right_expr":{"type":"numeric_atoms","value":1314,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1523,"base":16},"right_expr":{"type":"numeric_atoms","value":3011,"base":16}}}}},"used_operators":["Tw270M8GLb","T2fj7uvVaJ","NTOWxs364D","jLgFTUHLKL","bJkvcejdHO","t8gj7n24qd","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬448D76","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2663","layer":4},{"info":"compute unary expreesion, input=2663, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18524","layer":3},{"info":"number node, value=4311","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=4311, right_input=1314, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1116076","layer":3},{"info":"compute binary expreesion, left_input=-18524, right_input=1116076, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-1097673","layer":2},{"info":"number node, value=1523","layer":4},{"info":"number node, value=3011","layer":4},{"info":"compute binary expreesion, left_input=1523, right_input=3011, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1523","layer":3},{"info":"compute unary expreesion, input=1523, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1523","layer":2},{"info":"compute binary expreesion, left_input=-1097673, right_input=-1523, 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 = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(((↩∃⊬A67)⩚⊴⇥(∃⊬10D7≎⊠⪸∃⊬522))⋓(-∃⊬5F3⋝⋈⪟∃⊬BC3))=∃⊬448D76","reverse_text":"∃⊬448D76=⨰⫟⨤(((↩∃⊬A67)⩚⊴⇥(∃⊬10D7≎⊠⪸∃⊬522))⋓(-∃⊬5F3⋝⋈⪟∃⊬BC3))","cot":[{"info":"↩∃⊬A67=∃⊬-485C","layer":3},{"info":"∃⊬10D7≎⊠⪸∃⊬522=∃⊬1107AC","layer":3},{"info":"∃⊬-485C⩚⊴⇥∃⊬1107AC=∃⊬-10BFC9","layer":2},{"info":"∃⊬5F3⋝⋈⪟∃⊬BC3=∃⊬5F3","layer":3},{"info":"-∃⊬5F3=∃⊬-5F3","layer":2},{"info":"∃⊬-10BFC9⋓∃⊬-5F3=∃⊬0","layer":1},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":0}]}
{"id":402,"expression_no_base_symbol":"((($1112$↙$5413$)⋳⪒($3186$+$2725$))↬(⪝⪂⫅$2400$⨪↰⇹$9537$))↬($4057$∼$1255$⋝⋈⪟$2943$≹⇙⪍$1044$)⪢((≦∁$8377$)⋝⋈⪟($2187$↪⪝))","expression":"(((∃⊬458↙∃⊬1525)⋳⪒(∃⊬C72+∃⊬AA5))↬(⪝⪂⫅∃⊬960⨪↰⇹∃⊬2541))↬(∃⊬FD9∼∃⊬4E7⋝⋈⪟∃⊬B7F≹⇙⪍∃⊬414)⪢((≦∁∃⊬20B9)⋝⋈⪟(∃⊬88B↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17142,"operation_count":14,"complexity_ratio":1224.4285714285713,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1112,"base":16},"right_expr":{"type":"numeric_atoms","value":5413,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3186,"base":16},"right_expr":{"type":"numeric_atoms","value":2725,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2400,"base":16},"right_expr":{"type":"numeric_atoms","value":9537,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4057,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2943,"base":16},"right_expr":{"type":"numeric_atoms","value":1044,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":8377,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2187,"base":16}}}}},"used_operators":["B5M0gjZbta","12rbrZMWeM","yyfyN0ffXY","W4YGzv6Whe","XTarYq4gQB","tmPS8pqC7x","dWAJyo7jo9","2DDjHMKMc0","DyGG3AbaNP","AHs5Up7iyr","9ICcGScMcE","l07mrZUIn9"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1112","layer":4},{"info":"number node, value=5413","layer":4},{"info":"compute binary expreesion, left_input=1112, right_input=5413, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16239","layer":3},{"info":"number node, value=3186","layer":4},{"info":"number node, value=2725","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=2725, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5911","layer":3},{"info":"compute binary expreesion, left_input=-16239, right_input=5911, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-38676","layer":2},{"info":"number node, value=2400","layer":4},{"info":"number node, value=9537","layer":4},{"info":"compute binary expreesion, left_input=2400, right_input=9537, 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=2400","layer":3},{"info":"compute unary expreesion, input=2400, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-352800","layer":2},{"info":"compute binary expreesion, left_input=-38676, right_input=-352800, 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=4057","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=4057, right_input=1255, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2943","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=2943, right_input=1044, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=8377","layer":4},{"info":"compute unary expreesion, input=8377, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8377","layer":3},{"info":"number node, value=2187","layer":4},{"info":"compute unary expreesion, input=2187, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=133805034","layer":3},{"info":"compute binary expreesion, left_input=8377, right_input=133805034, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=8377","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8377, 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 = 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":"(((∃⊬458↙∃⊬1525)⋳⪒(∃⊬C72+∃⊬AA5))↬(⪝⪂⫅∃⊬960⨪↰⇹∃⊬2541))↬(∃⊬FD9∼∃⊬4E7⋝⋈⪟∃⊬B7F≹⇙⪍∃⊬414)⪢((≦∁∃⊬20B9)⋝⋈⪟(∃⊬88B↪⪝))=NaN","reverse_text":"NaN=(((∃⊬458↙∃⊬1525)⋳⪒(∃⊬C72+∃⊬AA5))↬(⪝⪂⫅∃⊬960⨪↰⇹∃⊬2541))↬(∃⊬FD9∼∃⊬4E7⋝⋈⪟∃⊬B7F≹⇙⪍∃⊬414)⪢((≦∁∃⊬20B9)⋝⋈⪟(∃⊬88B↪⪝))","cot":[{"info":"∃⊬458↙∃⊬1525=∃⊬-3F6F","layer":3},{"info":"∃⊬C72+∃⊬AA5=∃⊬1717","layer":3},{"info":"∃⊬-3F6F⋳⪒∃⊬1717=∃⊬-9714","layer":2},{"info":"∃⊬960⨪↰⇹∃⊬2541=∃⊬960","layer":3},{"info":"⪝⪂⫅∃⊬960=∃⊬-56220","layer":2},{"info":"∃⊬-9714↬∃⊬-56220=NaN","layer":1},{"info":"∃⊬FD9∼∃⊬4E7=NaN","layer":3},{"info":"∃⊬B7F≹⇙⪍∃⊬414=NaN","layer":3},{"info":"NaN⋝⋈⪟NaN=NaN","layer":2},{"info":"≦∁∃⊬20B9=∃⊬20B9","layer":3},{"info":"∃⊬88B↪⪝=∃⊬7F9B3EA","layer":3},{"info":"∃⊬20B9⋝⋈⪟∃⊬7F9B3EA=∃⊬20B9","layer":2},{"info":"NaN⪢∃⊬20B9=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":403,"expression_no_base_symbol":"⊄⩳↩($2436$⫸⊐$4723$⩨($1257$⇼⇔∾$5028$))⊴(($1529$⪠⩆⊳)⫸⊐($1249$⫩⊇))","expression":"⊄⩳↩(∃⊬984⫸⊐∃⊬1273⩨(∃⊬4E9⇼⇔∾∃⊬13A4))⊴((∃⊬5F9⪠⩆⊳)⫸⊐(∃⊬4E1⫩⊇))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":52,"operation_count":8,"complexity_ratio":6.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2436,"base":16},"right_expr":{"type":"numeric_atoms","value":4723,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":5028,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1529,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1249,"base":16}}}}},"used_operators":["8w2t5hMYqp","Nsiff2A1zJ","2DlMacCsIx","mqXw5SEYmG","tifHPKVTfV","JLbD19bQDL","BjRHVeLaeN"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬ED","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2436","layer":4},{"info":"number node, value=4723","layer":4},{"info":"compute binary expreesion, left_input=2436, right_input=4723, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18767","layer":3},{"info":"number node, value=1257","layer":4},{"info":"number node, value=5028","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=5028, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3771","layer":3},{"info":"compute binary expreesion, left_input=18767, right_input=3771, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"number node, value=1529","layer":4},{"info":"compute unary expreesion, input=1529, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1207","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1207, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=-79","layer":1},{"info":"compute unary expreesion, input=-79, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=237","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(∃⊬984⫸⊐∃⊬1273⩨(∃⊬4E9⇼⇔∾∃⊬13A4))⊴((∃⊬5F9⪠⩆⊳)⫸⊐(∃⊬4E1⫩⊇))=∃⊬ED","reverse_text":"∃⊬ED=⊄⩳↩(∃⊬984⫸⊐∃⊬1273⩨(∃⊬4E9⇼⇔∾∃⊬13A4))⊴((∃⊬5F9⪠⩆⊳)⫸⊐(∃⊬4E1⫩⊇))","cot":[{"info":"∃⊬984⫸⊐∃⊬1273=∃⊬494F","layer":3},{"info":"∃⊬4E9⇼⇔∾∃⊬13A4=∃⊬EBB","layer":3},{"info":"∃⊬494F⩨∃⊬EBB=∃⊬0","layer":2},{"info":"∃⊬5F9⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬4E1⫩⊇=∃⊬-4B7","layer":3},{"info":"∃⊬0⫸⊐∃⊬-4B7=∃⊬0","layer":2},{"info":"∃⊬0⊴∃⊬0=∃⊬-4F","layer":1},{"info":"⊄⩳↩∃⊬-4F=∃⊬ED","layer":0}]}
{"id":404,"expression_no_base_symbol":"($4454$∧)⪘⫢($5028$⇋≉)⋓((⋗⩬⋾$1036$)⊭↱(↣≠⋷$1005$))⪒(↥$1172$⪛$1997$)⫸⊐($5445$⨳⩥⨓$2452$)⪛$5407$≹⇙⪍$2247$","expression":"(∃⊬1166∧)⪘⫢(∃⊬13A4⇋≉)⋓((⋗⩬⋾∃⊬40C)⊭↱(↣≠⋷∃⊬3ED))⪒(↥∃⊬494⪛∃⊬7CD)⫸⊐(∃⊬1545⨳⩥⨓∃⊬994)⪛∃⊬151F≹⇙⪍∃⊬8C7","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":84,"operation_count":14,"complexity_ratio":6.0,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4454,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":5028,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1036,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1005,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1172,"base":16},"right_expr":{"type":"numeric_atoms","value":1997,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5445,"base":16},"right_expr":{"type":"numeric_atoms","value":2452,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5407,"base":16},"right_expr":{"type":"numeric_atoms","value":2247,"base":16}}}}},"used_operators":["f6k1SAg4EE","T2fj7uvVaJ","oacrs7FA3X","z63VuFQld9","XIabStNQrY","COABgblf1C","DpFCA1CohY","Asc51vEJeQ","mqXw5SEYmG","A8NUZmVepG","uFcxV4UQCh","nCS4ZIUYfx","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4454","layer":4},{"info":"compute unary expreesion, input=4454, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=5028","layer":4},{"info":"compute unary expreesion, input=5028, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9958","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9958, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3108","layer":3},{"info":"number node, value=1005","layer":4},{"info":"compute unary expreesion, input=1005, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3108, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1172","layer":4},{"info":"number node, value=1997","layer":4},{"info":"compute binary expreesion, left_input=1172, right_input=1997, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1172","layer":3},{"info":"compute unary expreesion, input=1172, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":2},{"info":"number node, value=5445","layer":4},{"info":"number node, value=2452","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=2452, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2993","layer":3},{"info":"number node, value=5407","layer":4},{"info":"number node, value=2247","layer":4},{"info":"compute binary expreesion, left_input=5407, right_input=2247, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2993, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=50, 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=100","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=100, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1166∧)⪘⫢(∃⊬13A4⇋≉)⋓((⋗⩬⋾∃⊬40C)⊭↱(↣≠⋷∃⊬3ED))⪒(↥∃⊬494⪛∃⊬7CD)⫸⊐(∃⊬1545⨳⩥⨓∃⊬994)⪛∃⊬151F≹⇙⪍∃⊬8C7=NaN","reverse_text":"NaN=(∃⊬1166∧)⪘⫢(∃⊬13A4⇋≉)⋓((⋗⩬⋾∃⊬40C)⊭↱(↣≠⋷∃⊬3ED))⪒(↥∃⊬494⪛∃⊬7CD)⫸⊐(∃⊬1545⨳⩥⨓∃⊬994)⪛∃⊬151F≹⇙⪍∃⊬8C7","cot":[{"info":"∃⊬1166∧=NaN","layer":3},{"info":"∃⊬13A4⇋≉=∃⊬26E6","layer":3},{"info":"NaN⪘⫢∃⊬26E6=NaN","layer":2},{"info":"⋗⩬⋾∃⊬40C=∃⊬-C24","layer":3},{"info":"↣≠⋷∃⊬3ED=NaN","layer":3},{"info":"∃⊬-C24⊭↱NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"∃⊬494⪛∃⊬7CD=∃⊬494","layer":3},{"info":"↥∃⊬494=∃⊬32","layer":2},{"info":"∃⊬1545⨳⩥⨓∃⊬994=∃⊬-BB1","layer":3},{"info":"∃⊬151F≹⇙⪍∃⊬8C7=NaN","layer":3},{"info":"∃⊬-BB1⪛NaN=NaN","layer":2},{"info":"∃⊬32⫸⊐NaN=∃⊬64","layer":1},{"info":"NaN⪒∃⊬64=NaN","layer":0}]}
{"id":405,"expression_no_base_symbol":"↣≠⋷((⊄⩳↩$3606$∀⇚≩$1878$)⋷($3576$⨽$1423$)⨟⋌⩍($2553$⨪↰⇹$1879$))","expression":"↣≠⋷((⊄⩳↩∃⊬E16∀⇚≩∃⊬756)⋷(∃⊬DF8⨽∃⊬58F)⨟⋌⩍(∃⊬9F9⨪↰⇹∃⊬757))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31389,"operation_count":7,"complexity_ratio":4484.142857142857,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3606,"base":16},"right_expr":{"type":"numeric_atoms","value":1878,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3576,"base":16},"right_expr":{"type":"numeric_atoms","value":1423,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2553,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}}}}},"used_operators":["Asc51vEJeQ","23Mk6UjR3U","8w2t5hMYqp","LRNGc0VcxI","rGHVDoGpnC","8HhzD0ZcuI","tmPS8pqC7x"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3606","layer":4},{"info":"number node, value=1878","layer":4},{"info":"compute binary expreesion, left_input=3606, 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":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=3576","layer":4},{"info":"number node, value=1423","layer":4},{"info":"compute binary expreesion, left_input=3576, right_input=1423, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-38366283","layer":3},{"info":"number node, value=2553","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2553, right_input=1879, 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=2553","layer":3},{"info":"compute binary expreesion, left_input=-38366283, right_input=2553, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , 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":"↣≠⋷((⊄⩳↩∃⊬E16∀⇚≩∃⊬756)⋷(∃⊬DF8⨽∃⊬58F)⨟⋌⩍(∃⊬9F9⨪↰⇹∃⊬757))=NaN","reverse_text":"NaN=↣≠⋷((⊄⩳↩∃⊬E16∀⇚≩∃⊬756)⋷(∃⊬DF8⨽∃⊬58F)⨟⋌⩍(∃⊬9F9⨪↰⇹∃⊬757))","cot":[{"info":"∃⊬E16∀⇚≩∃⊬756=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"∃⊬DF8⨽∃⊬58F=∃⊬-2496C4B","layer":3},{"info":"∃⊬9F9⨪↰⇹∃⊬757=∃⊬9F9","layer":3},{"info":"∃⊬-2496C4B⨟⋌⩍∃⊬9F9=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":406,"expression_no_base_symbol":"(≉$1462$⋝⋈⪟$1132$⨳⩥⨓(⊙↵-$1544$))⪠⩆⊳","expression":"(≉∃⊬5B6⋝⋈⪟∃⊬46C⨳⩥⨓(⊙↵-∃⊬608))⪠⩆⊳","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1603,"operation_count":5,"complexity_ratio":320.6,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1462,"base":16},"right_expr":{"type":"numeric_atoms","value":1132,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1544,"base":16}}}}},"used_operators":["JLbD19bQDL","e1ybzncUwg","nCS4ZIUYfx","2DDjHMKMc0","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1462","layer":4},{"info":"number node, value=1132","layer":4},{"info":"compute binary expreesion, left_input=1462, right_input=1132, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1462","layer":3},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1462, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1463","layer":2},{"info":"compute unary expreesion, input=-1463, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1463","layer":1},{"info":"compute unary expreesion, input=-1463, 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":"(≉∃⊬5B6⋝⋈⪟∃⊬46C⨳⩥⨓(⊙↵-∃⊬608))⪠⩆⊳=∃⊬0","reverse_text":"∃⊬0=(≉∃⊬5B6⋝⋈⪟∃⊬46C⨳⩥⨓(⊙↵-∃⊬608))⪠⩆⊳","cot":[{"info":"∃⊬5B6⋝⋈⪟∃⊬46C=∃⊬5B6","layer":3},{"info":"⊙↵-∃⊬608=∃⊬-1","layer":3},{"info":"∃⊬5B6⨳⩥⨓∃⊬-1=∃⊬-5B7","layer":2},{"info":"≉∃⊬-5B7=∃⊬-5B7","layer":1},{"info":"∃⊬-5B7⪠⩆⊳=∃⊬0","layer":0}]}
{"id":407,"expression_no_base_symbol":"(($4972$⇼⇔∾$1846$⇼⇔∾$2326$⨓$1772$)≎⊠⪸((⩦⩻⨪$2152$)⨳⩥⨓$4912$≧⫂∧$1218$))⨰(∥⊫($1110$⨁⊸⫻)⋳⪒($6887$⨁⊸⫻))","expression":"((∃⊬136C⇼⇔∾∃⊬736⇼⇔∾∃⊬916⨓∃⊬6EC)≎⊠⪸((⩦⩻⨪∃⊬868)⨳⩥⨓∃⊬1330≧⫂∧∃⊬4C2))⨰(∥⊫(∃⊬456⨁⊸⫻)⋳⪒(∃⊬1AE7⨁⊸⫻))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1818,"operation_count":12,"complexity_ratio":151.5,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4972,"base":16},"right_expr":{"type":"numeric_atoms","value":1846,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2326,"base":16},"right_expr":{"type":"numeric_atoms","value":1772,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2152,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4912,"base":16},"right_expr":{"type":"numeric_atoms","value":1218,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1110,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":6887,"base":16}}}}},"used_operators":["eewbuw0ToL","bJkvcejdHO","tifHPKVTfV","3ViojmjbAp","nCS4ZIUYfx","2td37pGCOC","Ph9nP6C5qx","P8v4zCKN1o","12rbrZMWeM","glklzrTFfD"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬84","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4972","layer":4},{"info":"number node, value=1846","layer":4},{"info":"compute binary expreesion, left_input=4972, right_input=1846, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-3126","layer":3},{"info":"number node, value=2326","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=2326, right_input=1772, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1775","layer":3},{"info":"compute binary expreesion, left_input=-3126, right_input=-1775, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1351","layer":2},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2152","layer":3},{"info":"number node, value=4912","layer":4},{"info":"number node, value=1218","layer":4},{"info":"compute binary expreesion, left_input=4912, right_input=1218, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=745","layer":3},{"info":"compute binary expreesion, left_input=2152, right_input=745, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1407","layer":2},{"info":"compute binary expreesion, left_input=1351, right_input=-1407, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=1110","layer":4},{"info":"compute unary expreesion, input=1110, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1110","layer":3},{"info":"number node, value=6887","layer":4},{"info":"compute unary expreesion, input=6887, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=6887","layer":3},{"info":"compute binary expreesion, left_input=1110, right_input=6887, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4954","layer":2},{"info":"compute unary expreesion, input=-4954, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=-55, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=132","layer":0}],"base":16,"result_base":16,"text":"((∃⊬136C⇼⇔∾∃⊬736⇼⇔∾∃⊬916⨓∃⊬6EC)≎⊠⪸((⩦⩻⨪∃⊬868)⨳⩥⨓∃⊬1330≧⫂∧∃⊬4C2))⨰(∥⊫(∃⊬456⨁⊸⫻)⋳⪒(∃⊬1AE7⨁⊸⫻))=∃⊬84","reverse_text":"∃⊬84=((∃⊬136C⇼⇔∾∃⊬736⇼⇔∾∃⊬916⨓∃⊬6EC)≎⊠⪸((⩦⩻⨪∃⊬868)⨳⩥⨓∃⊬1330≧⫂∧∃⊬4C2))⨰(∥⊫(∃⊬456⨁⊸⫻)⋳⪒(∃⊬1AE7⨁⊸⫻))","cot":[{"info":"∃⊬136C⇼⇔∾∃⊬736=∃⊬-C36","layer":3},{"info":"∃⊬916⨓∃⊬6EC=∃⊬-6EF","layer":3},{"info":"∃⊬-C36⇼⇔∾∃⊬-6EF=∃⊬547","layer":2},{"info":"⩦⩻⨪∃⊬868=∃⊬868","layer":3},{"info":"∃⊬1330≧⫂∧∃⊬4C2=∃⊬2E9","layer":3},{"info":"∃⊬868⨳⩥⨓∃⊬2E9=∃⊬-57F","layer":2},{"info":"∃⊬547≎⊠⪸∃⊬-57F=∃⊬43","layer":1},{"info":"∃⊬456⨁⊸⫻=∃⊬456","layer":3},{"info":"∃⊬1AE7⨁⊸⫻=∃⊬1AE7","layer":3},{"info":"∃⊬456⋳⪒∃⊬1AE7=∃⊬-135A","layer":2},{"info":"∥⊫∃⊬-135A=∃⊬-37","layer":1},{"info":"∃⊬43⨰∃⊬-37=∃⊬84","layer":0}]}
{"id":408,"expression_no_base_symbol":"($5359$≹⇙⪍$4590$⋓$5003$∑⇟⊟$2743$)≹⇙⪍($1390$≹⇙⪍$3585$⩷∴($3247$⫸⊐$7452$))∑⇟⊟(≉$5229$↙$3161$⨳⩥⨓($2575$⊉≛↸$7274$))","expression":"(∃⊬14EF≹⇙⪍∃⊬11EE⋓∃⊬138B∑⇟⊟∃⊬AB7)≹⇙⪍(∃⊬56E≹⇙⪍∃⊬E01⩷∴(∃⊬CAF⫸⊐∃⊬1D1C))∑⇟⊟(≉∃⊬146D↙∃⊬C59⨳⩥⨓(∃⊬A0F⊉≛↸∃⊬1C6A))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3219,"operation_count":12,"complexity_ratio":268.25,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5359,"base":16},"right_expr":{"type":"numeric_atoms","value":4590,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5003,"base":16},"right_expr":{"type":"numeric_atoms","value":2743,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1390,"base":16},"right_expr":{"type":"numeric_atoms","value":3585,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3247,"base":16},"right_expr":{"type":"numeric_atoms","value":7452,"base":16}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5229,"base":16},"right_expr":{"type":"numeric_atoms","value":3161,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2575,"base":16},"right_expr":{"type":"numeric_atoms","value":7274,"base":16}}}}},"used_operators":["U7g4x0WXJJ","AHs5Up7iyr","T2fj7uvVaJ","9FxExcQeMw","mqXw5SEYmG","e1ybzncUwg","nCS4ZIUYfx","yyfyN0ffXY","DZ8iAZOCBD"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5359","layer":4},{"info":"number node, value=4590","layer":4},{"info":"compute binary expreesion, left_input=5359, right_input=4590, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5003","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=5003, right_input=2743, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"number node, value=1390","layer":4},{"info":"number node, value=3585","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=3585, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3247","layer":4},{"info":"number node, value=7452","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=7452, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=29683","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=29683, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5229","layer":4},{"info":"number node, value=3161","layer":4},{"info":"compute binary expreesion, left_input=5229, right_input=3161, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9483","layer":3},{"info":"number node, value=2575","layer":4},{"info":"number node, value=7274","layer":4},{"info":"compute binary expreesion, left_input=2575, right_input=7274, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5150","layer":3},{"info":"compute binary expreesion, left_input=-9483, right_input=5150, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=14633","layer":2},{"info":"compute unary expreesion, input=14633, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=15164","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=15164, 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":"(∃⊬14EF≹⇙⪍∃⊬11EE⋓∃⊬138B∑⇟⊟∃⊬AB7)≹⇙⪍(∃⊬56E≹⇙⪍∃⊬E01⩷∴(∃⊬CAF⫸⊐∃⊬1D1C))∑⇟⊟(≉∃⊬146D↙∃⊬C59⨳⩥⨓(∃⊬A0F⊉≛↸∃⊬1C6A))=NaN","reverse_text":"NaN=(∃⊬14EF≹⇙⪍∃⊬11EE⋓∃⊬138B∑⇟⊟∃⊬AB7)≹⇙⪍(∃⊬56E≹⇙⪍∃⊬E01⩷∴(∃⊬CAF⫸⊐∃⊬1D1C))∑⇟⊟(≉∃⊬146D↙∃⊬C59⨳⩥⨓(∃⊬A0F⊉≛↸∃⊬1C6A))","cot":[{"info":"∃⊬14EF≹⇙⪍∃⊬11EE=NaN","layer":3},{"info":"∃⊬138B∑⇟⊟∃⊬AB7=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"∃⊬56E≹⇙⪍∃⊬E01=NaN","layer":3},{"info":"∃⊬CAF⫸⊐∃⊬1D1C=∃⊬73F3","layer":3},{"info":"NaN⩷∴∃⊬73F3=NaN","layer":2},{"info":"NaN≹⇙⪍NaN=NaN","layer":1},{"info":"∃⊬146D↙∃⊬C59=∃⊬-250B","layer":3},{"info":"∃⊬A0F⊉≛↸∃⊬1C6A=∃⊬141E","layer":3},{"info":"∃⊬-250B⨳⩥⨓∃⊬141E=∃⊬3929","layer":2},{"info":"≉∃⊬3929=∃⊬3B3C","layer":1},{"info":"NaN∑⇟⊟∃⊬3B3C=NaN","layer":0}]}
{"id":409,"expression_no_base_symbol":"(∂(≉$6122$⫸⊐$1126$))↙((⊙↵-(↥$2840$))⊉≛↸((≤/$3189$)⋷$2045$⨎$1583$))","expression":"(∂(≉∃⊬17EA⫸⊐∃⊬466))↙((⊙↵-(↥∃⊬B18))⊉≛↸((≤/∃⊬C75)⋷∃⊬7FD⨎∃⊬62F))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":150,"operation_count":10,"complexity_ratio":15.0,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":6122,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2840,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3189,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2045,"base":16},"right_expr":{"type":"numeric_atoms","value":1583,"base":16}}}}},"used_operators":["yyfyN0ffXY","Uaa54Peajs","e1ybzncUwg","mqXw5SEYmG","DZ8iAZOCBD","oWn0xqSxBt","A8NUZmVepG","23Mk6UjR3U","eLAdDNolq6","rJVOvQCfKK"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6122","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=6122, right_input=1126, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4379","layer":3},{"info":"compute unary expreesion, input=4379, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4910","layer":2},{"info":"compute unary expreesion, input=4910, 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=2840","layer":4},{"info":"compute unary expreesion, input=2840, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"compute unary expreesion, input=35, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=3189","layer":4},{"info":"compute unary expreesion, input=3189, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2705","layer":3},{"info":"number node, value=2045","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=1583, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1583","layer":3},{"info":"compute binary expreesion, left_input=-2705, right_input=1583, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5410","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=5410, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"(∂(≉∃⊬17EA⫸⊐∃⊬466))↙((⊙↵-(↥∃⊬B18))⊉≛↸((≤/∃⊬C75)⋷∃⊬7FD⨎∃⊬62F))=NaN","reverse_text":"NaN=(∂(≉∃⊬17EA⫸⊐∃⊬466))↙((⊙↵-(↥∃⊬B18))⊉≛↸((≤/∃⊬C75)⋷∃⊬7FD⨎∃⊬62F))","cot":[{"info":"∃⊬17EA⫸⊐∃⊬466=∃⊬111B","layer":3},{"info":"≉∃⊬111B=∃⊬132E","layer":2},{"info":"∂∃⊬132E=NaN","layer":1},{"info":"↥∃⊬B18=∃⊬23","layer":3},{"info":"⊙↵-∃⊬23=∃⊬0","layer":2},{"info":"≤/∃⊬C75=∃⊬-A91","layer":3},{"info":"∃⊬7FD⨎∃⊬62F=∃⊬62F","layer":3},{"info":"∃⊬-A91⋷∃⊬62F=∃⊬1522","layer":2},{"info":"∃⊬0⊉≛↸∃⊬1522=∃⊬0","layer":1},{"info":"NaN↙∃⊬0=NaN","layer":0}]}
{"id":410,"expression_no_base_symbol":"⪲⇎(($6505$%$1687$)⨪↰⇹$7924$⪛$6451$)⪮%⊝($3722$+$1679$⋷$2860$⋓$3972$)","expression":"⪲⇎((∃⊬1969%∃⊬697)⨪↰⇹∃⊬1EF4⪛∃⊬1933)⪮%⊝(∃⊬E8A+∃⊬68F⋷∃⊬B2C⋓∃⊬F84)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1479,"operation_count":8,"complexity_ratio":184.875,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6505,"base":16},"right_expr":{"type":"numeric_atoms","value":1687,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7924,"base":16},"right_expr":{"type":"numeric_atoms","value":6451,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3722,"base":16},"right_expr":{"type":"numeric_atoms","value":1679,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2860,"base":16},"right_expr":{"type":"numeric_atoms","value":3972,"base":16}}}}},"used_operators":["XPYlsWDdGa","IWmyXbctLI","tmPS8pqC7x","k8jYdgA6NY","uFcxV4UQCh","23Mk6UjR3U","W4YGzv6Whe","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬1908","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6505","layer":4},{"info":"number node, value=1687","layer":4},{"info":"compute binary expreesion, left_input=6505, right_input=1687, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1444","layer":3},{"info":"number node, value=7924","layer":4},{"info":"number node, value=6451","layer":4},{"info":"compute binary expreesion, left_input=7924, right_input=6451, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1473","layer":3},{"info":"compute binary expreesion, left_input=1444, right_input=1473, 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=1444","layer":2},{"info":"number node, value=3722","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=3722, right_input=1679, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5401","layer":3},{"info":"number node, value=2860","layer":4},{"info":"number node, value=3972","layer":4},{"info":"compute binary expreesion, left_input=2860, right_input=3972, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5401, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5401","layer":2},{"info":"compute binary expreesion, left_input=1444, right_input=-5401, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3204","layer":1},{"info":"compute unary expreesion, input=3204, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6408","layer":0}],"base":16,"result_base":16,"text":"⪲⇎((∃⊬1969%∃⊬697)⨪↰⇹∃⊬1EF4⪛∃⊬1933)⪮%⊝(∃⊬E8A+∃⊬68F⋷∃⊬B2C⋓∃⊬F84)=∃⊬1908","reverse_text":"∃⊬1908=⪲⇎((∃⊬1969%∃⊬697)⨪↰⇹∃⊬1EF4⪛∃⊬1933)⪮%⊝(∃⊬E8A+∃⊬68F⋷∃⊬B2C⋓∃⊬F84)","cot":[{"info":"∃⊬1969%∃⊬697=∃⊬5A4","layer":3},{"info":"∃⊬1EF4⪛∃⊬1933=∃⊬5C1","layer":3},{"info":"∃⊬5A4⨪↰⇹∃⊬5C1=∃⊬5A4","layer":2},{"info":"∃⊬E8A+∃⊬68F=∃⊬1519","layer":3},{"info":"∃⊬B2C⋓∃⊬F84=∃⊬0","layer":3},{"info":"∃⊬1519⋷∃⊬0=∃⊬-1519","layer":2},{"info":"∃⊬5A4⪮%⊝∃⊬-1519=∃⊬C84","layer":1},{"info":"⪲⇎∃⊬C84=∃⊬1908","layer":0}]}
{"id":411,"expression_no_base_symbol":"((⊥$1064$)≦≮≮)⪛(($3093$⪄$2086$)⫸⊐$2294$⪄$1546$)⋝⋈⪟((($3294$/$6489$)≣⋋)⩨(∥⊫(⨰⫟⨤$1544$)))","expression":"((⊥∃⊬428)≦≮≮)⪛((∃⊬C15⪄∃⊬826)⫸⊐∃⊬8F6⪄∃⊬60A)⋝⋈⪟(((∃⊬CDE/∃⊬1959)≣⋋)⩨(∥⊫(⨰⫟⨤∃⊬608)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5553,"operation_count":12,"complexity_ratio":462.75,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1064,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3093,"base":16},"right_expr":{"type":"numeric_atoms","value":2086,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2294,"base":16},"right_expr":{"type":"numeric_atoms","value":1546,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3294,"base":16},"right_expr":{"type":"numeric_atoms","value":6489,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1544,"base":16}}}}},"used_operators":["2DDjHMKMc0","uFcxV4UQCh","D4vGDi5EA2","Q3PJZHRvZv","mqXw5SEYmG","SUmda5xLS4","2DlMacCsIx","Tcnh7f0tEr","XhwjNDsVaA","P8v4zCKN1o","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=3093","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=2086, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-462197","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1546","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1546, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-341785","layer":3},{"info":"compute binary expreesion, left_input=-462197, right_input=-341785, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=968, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=3294","layer":4},{"info":"number node, value=6489","layer":4},{"info":"compute binary expreesion, left_input=3294, right_input=6489, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=1544","layer":4},{"info":"compute unary expreesion, input=1544, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊥∃⊬428)≦≮≮)⪛((∃⊬C15⪄∃⊬826)⫸⊐∃⊬8F6⪄∃⊬60A)⋝⋈⪟(((∃⊬CDE/∃⊬1959)≣⋋)⩨(∥⊫(⨰⫟⨤∃⊬608)))=NaN","reverse_text":"NaN=((⊥∃⊬428)≦≮≮)⪛((∃⊬C15⪄∃⊬826)⫸⊐∃⊬8F6⪄∃⊬60A)⋝⋈⪟(((∃⊬CDE/∃⊬1959)≣⋋)⩨(∥⊫(⨰⫟⨤∃⊬608)))","cot":[{"info":"⊥∃⊬428=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"∃⊬C15⪄∃⊬826=∃⊬-70D75","layer":3},{"info":"∃⊬8F6⪄∃⊬60A=∃⊬-53719","layer":3},{"info":"∃⊬-70D75⫸⊐∃⊬-53719=∃⊬3C8","layer":2},{"info":"NaN⪛∃⊬3C8=NaN","layer":1},{"info":"∃⊬CDE/∃⊬1959=∃⊬0","layer":3},{"info":"∃⊬0≣⋋=∃⊬0","layer":2},{"info":"⨰⫟⨤∃⊬608=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"∃⊬0⩨NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":412,"expression_no_base_symbol":"(↥($2847$↺$2333$)⨎$5938$≎⊠⪸$1784$)∀⇚≩($1499$⫡⨏$8706$⪨≂$1240$⩷∴$2620$⋷(↥$6281$⋝⋈⪟$1397$))","expression":"(↥(∃⊬B1F↺∃⊬91D)⨎∃⊬1732≎⊠⪸∃⊬6F8)∀⇚≩(∃⊬5DB⫡⨏∃⊬2202⪨≂∃⊬4D8⩷∴∃⊬A3C⋷(↥∃⊬1889⋝⋈⪟∃⊬575))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30727,"operation_count":11,"complexity_ratio":2793.3636363636365,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2847,"base":16},"right_expr":{"type":"numeric_atoms","value":2333,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5938,"base":16},"right_expr":{"type":"numeric_atoms","value":1784,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1499,"base":16},"right_expr":{"type":"numeric_atoms","value":8706,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1240,"base":16},"right_expr":{"type":"numeric_atoms","value":2620,"base":16}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6281,"base":16},"right_expr":{"type":"numeric_atoms","value":1397,"base":16}}}}},"used_operators":["LRNGc0VcxI","A8NUZmVepG","rJVOvQCfKK","7j4O788W3g","bJkvcejdHO","23Mk6UjR3U","sdazOOVcIp","QMFrweE19q","9FxExcQeMw","2DDjHMKMc0"],"dependent_operators":["X99M06cbEe","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2847","layer":4},{"info":"number node, value=2333","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=2333, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2333","layer":3},{"info":"number node, value=5938","layer":4},{"info":"number node, value=1784","layer":4},{"info":"compute binary expreesion, left_input=5938, right_input=1784, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1537469","layer":3},{"info":"compute binary expreesion, left_input=2333, right_input=1537469, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1537469","layer":2},{"info":"compute unary expreesion, input=1537469, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=23","layer":1},{"info":"number node, value=1499","layer":4},{"info":"number node, value=8706","layer":4},{"info":"compute binary expreesion, left_input=1499, right_input=8706, 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=25690","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=2620, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2792","layer":3},{"info":"compute binary expreesion, left_input=25690, right_input=-2792, 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=57066","layer":2},{"info":"number node, value=6281","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=6281, right_input=1397, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6281","layer":3},{"info":"compute unary expreesion, input=6281, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":2},{"info":"compute binary expreesion, left_input=57066, right_input=8, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-57050","layer":1},{"info":"compute binary expreesion, left_input=23, right_input=-57050, 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":"(↥(∃⊬B1F↺∃⊬91D)⨎∃⊬1732≎⊠⪸∃⊬6F8)∀⇚≩(∃⊬5DB⫡⨏∃⊬2202⪨≂∃⊬4D8⩷∴∃⊬A3C⋷(↥∃⊬1889⋝⋈⪟∃⊬575))=NaN","reverse_text":"NaN=(↥(∃⊬B1F↺∃⊬91D)⨎∃⊬1732≎⊠⪸∃⊬6F8)∀⇚≩(∃⊬5DB⫡⨏∃⊬2202⪨≂∃⊬4D8⩷∴∃⊬A3C⋷(↥∃⊬1889⋝⋈⪟∃⊬575))","cot":[{"info":"∃⊬B1F↺∃⊬91D=∃⊬91D","layer":3},{"info":"∃⊬1732≎⊠⪸∃⊬6F8=∃⊬1775BD","layer":3},{"info":"∃⊬91D⨎∃⊬1775BD=∃⊬1775BD","layer":2},{"info":"↥∃⊬1775BD=∃⊬17","layer":1},{"info":"∃⊬5DB⫡⨏∃⊬2202=∃⊬645A","layer":3},{"info":"∃⊬4D8⩷∴∃⊬A3C=∃⊬-AE8","layer":3},{"info":"∃⊬645A⪨≂∃⊬-AE8=∃⊬DEEA","layer":2},{"info":"∃⊬1889⋝⋈⪟∃⊬575=∃⊬1889","layer":3},{"info":"↥∃⊬1889=∃⊬8","layer":2},{"info":"∃⊬DEEA⋷∃⊬8=∃⊬-DEDA","layer":1},{"info":"∃⊬17∀⇚≩∃⊬-DEDA=NaN","layer":0}]}
{"id":413,"expression_no_base_symbol":"(($1451$⪨≂$1278$)⋓(⋗⩬⋾$3046$)⨵⪆(-(⪲⇎$3334$)))⪘⫢(($1593$⪮%⊝$8043$+$2245$⪄$2971$)⪠⩆⊳)","expression":"((∃⊬5AB⪨≂∃⊬4FE)⋓(⋗⩬⋾∃⊬BE6)⨵⪆(-(⪲⇎∃⊬D06)))⪘⫢((∃⊬639⪮%⊝∃⊬1F6B+∃⊬8C5⪄∃⊬B9B)⪠⩆⊳)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":145,"operation_count":11,"complexity_ratio":13.181818181818182,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1451,"base":16},"right_expr":{"type":"numeric_atoms","value":1278,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3046,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3334,"base":16}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1593,"base":16},"right_expr":{"type":"numeric_atoms","value":8043,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2245,"base":16},"right_expr":{"type":"numeric_atoms","value":2971,"base":16}}}}},"used_operators":["oacrs7FA3X","2DQ55sFlQl","T2fj7uvVaJ","sdazOOVcIp","DpFCA1CohY","t8gj7n24qd","XPYlsWDdGa","JLbD19bQDL","W4YGzv6Whe","IWmyXbctLI","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1451","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1451, right_input=1278, 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=448","layer":3},{"info":"number node, value=3046","layer":4},{"info":"compute unary expreesion, input=3046, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9138","layer":3},{"info":"compute binary expreesion, left_input=448, right_input=-9138, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=3334","layer":4},{"info":"compute unary expreesion, input=3334, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6668","layer":3},{"info":"compute unary expreesion, input=6668, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6668","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-6668, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1593","layer":4},{"info":"number node, value=8043","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=8043, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3502","layer":3},{"info":"number node, value=2245","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=2245, right_input=2971, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-340233","layer":3},{"info":"compute binary expreesion, left_input=3502, right_input=-340233, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-336731","layer":2},{"info":"compute unary expreesion, input=-336731, 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=160, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"((∃⊬5AB⪨≂∃⊬4FE)⋓(⋗⩬⋾∃⊬BE6)⨵⪆(-(⪲⇎∃⊬D06)))⪘⫢((∃⊬639⪮%⊝∃⊬1F6B+∃⊬8C5⪄∃⊬B9B)⪠⩆⊳)=∃⊬0","reverse_text":"∃⊬0=((∃⊬5AB⪨≂∃⊬4FE)⋓(⋗⩬⋾∃⊬BE6)⨵⪆(-(⪲⇎∃⊬D06)))⪘⫢((∃⊬639⪮%⊝∃⊬1F6B+∃⊬8C5⪄∃⊬B9B)⪠⩆⊳)","cot":[{"info":"∃⊬5AB⪨≂∃⊬4FE=∃⊬1C0","layer":3},{"info":"⋗⩬⋾∃⊬BE6=∃⊬-23B2","layer":3},{"info":"∃⊬1C0⋓∃⊬-23B2=∃⊬0","layer":2},{"info":"⪲⇎∃⊬D06=∃⊬1A0C","layer":3},{"info":"-∃⊬1A0C=∃⊬-1A0C","layer":2},{"info":"∃⊬0⨵⪆∃⊬-1A0C=∃⊬A0","layer":1},{"info":"∃⊬639⪮%⊝∃⊬1F6B=∃⊬DAE","layer":3},{"info":"∃⊬8C5⪄∃⊬B9B=∃⊬-53109","layer":3},{"info":"∃⊬DAE+∃⊬-53109=∃⊬-5235B","layer":2},{"info":"∃⊬-5235B⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬A0⪘⫢∃⊬0=∃⊬0","layer":0}]}
{"id":414,"expression_no_base_symbol":"((∂($3776$↺$4806$))/$1763$⪛$3262$⪄$3178$⨳⩥⨓$4455$)↬((↥$2038$⨽$3545$)⊉≛↸$1055$∼$1999$↙($8240$⊉≛↸$1689$))","expression":"((∂(∃⊬EC0↺∃⊬12C6))/∃⊬6E3⪛∃⊬CBE⪄∃⊬C6A⨳⩥⨓∃⊬1167)↬((↥∃⊬7F6⨽∃⊬DD9)⊉≛↸∃⊬41F∼∃⊬7CF↙(∃⊬2030⊉≛↸∃⊬699))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":246684,"operation_count":13,"complexity_ratio":18975.69230769231,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3776,"base":16},"right_expr":{"type":"numeric_atoms","value":4806,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":3262,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3178,"base":16},"right_expr":{"type":"numeric_atoms","value":4455,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2038,"base":16},"right_expr":{"type":"numeric_atoms","value":3545,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1055,"base":16},"right_expr":{"type":"numeric_atoms","value":1999,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":8240,"base":16},"right_expr":{"type":"numeric_atoms","value":1689,"base":16}}}}},"used_operators":["B5M0gjZbta","XhwjNDsVaA","Uaa54Peajs","7j4O788W3g","SUmda5xLS4","uFcxV4UQCh","nCS4ZIUYfx","DZ8iAZOCBD","A8NUZmVepG","8HhzD0ZcuI","yyfyN0ffXY","DyGG3AbaNP"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3776","layer":4},{"info":"number node, value=4806","layer":4},{"info":"compute binary expreesion, left_input=3776, right_input=4806, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4806","layer":3},{"info":"compute unary expreesion, input=4806, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=1763","layer":4},{"info":"number node, value=3262","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=3262, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1763","layer":3},{"info":"number node, value=3178","layer":4},{"info":"number node, value=4455","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=4455, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1277","layer":3},{"info":"compute binary expreesion, left_input=1763, right_input=1277, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-262121","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-262121, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2038","layer":4},{"info":"number node, value=3545","layer":4},{"info":"compute binary expreesion, left_input=2038, right_input=3545, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-12469653","layer":3},{"info":"compute unary expreesion, input=-12469653, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=1055","layer":4},{"info":"number node, value=1999","layer":4},{"info":"compute binary expreesion, left_input=1055, right_input=1999, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=8240","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=8240, right_input=1689, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16480","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16480, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', 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":"((∂(∃⊬EC0↺∃⊬12C6))/∃⊬6E3⪛∃⊬CBE⪄∃⊬C6A⨳⩥⨓∃⊬1167)↬((↥∃⊬7F6⨽∃⊬DD9)⊉≛↸∃⊬41F∼∃⊬7CF↙(∃⊬2030⊉≛↸∃⊬699))=NaN","reverse_text":"NaN=((∂(∃⊬EC0↺∃⊬12C6))/∃⊬6E3⪛∃⊬CBE⪄∃⊬C6A⨳⩥⨓∃⊬1167)↬((↥∃⊬7F6⨽∃⊬DD9)⊉≛↸∃⊬41F∼∃⊬7CF↙(∃⊬2030⊉≛↸∃⊬699))","cot":[{"info":"∃⊬EC0↺∃⊬12C6=∃⊬12C6","layer":3},{"info":"∂∃⊬12C6=NaN","layer":2},{"info":"∃⊬6E3⪛∃⊬CBE=∃⊬6E3","layer":3},{"info":"∃⊬C6A⨳⩥⨓∃⊬1167=∃⊬4FD","layer":3},{"info":"∃⊬6E3⪄∃⊬4FD=∃⊬-3FFE9","layer":2},{"info":"NaN/∃⊬-3FFE9=NaN","layer":1},{"info":"∃⊬7F6⨽∃⊬DD9=∃⊬-BE4595","layer":3},{"info":"↥∃⊬-BE4595=∃⊬0","layer":2},{"info":"∃⊬41F∼∃⊬7CF=NaN","layer":3},{"info":"∃⊬2030⊉≛↸∃⊬699=∃⊬4060","layer":3},{"info":"NaN↙∃⊬4060=NaN","layer":2},{"info":"∃⊬0⊉≛↸NaN=∃⊬0","layer":1},{"info":"NaN↬∃⊬0=NaN","layer":0}]}
{"id":415,"expression_no_base_symbol":"(($2193$∼$3947$⪨≂$7187$%$2267$)⊭↱(⪝⪂⫅($2739$↛⩡⫤)))⪘⫢(↩(($1115$⪨≂$4761$)*(⋗⩬⋾$4737$)))","expression":"((∃⊬891∼∃⊬F6B⪨≂∃⊬1C13%∃⊬8DB)⊭↱(⪝⪂⫅(∃⊬AB3↛⩡⫤)))⪘⫢(↩((∃⊬45B⪨≂∃⊬1299)*(⋗⩬⋾∃⊬1281)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15783,"operation_count":11,"complexity_ratio":1434.8181818181818,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2193,"base":16},"right_expr":{"type":"numeric_atoms","value":3947,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7187,"base":16},"right_expr":{"type":"numeric_atoms","value":2267,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2739,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1115,"base":16},"right_expr":{"type":"numeric_atoms","value":4761,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4737,"base":16}}}}},"used_operators":["oacrs7FA3X","COABgblf1C","sdazOOVcIp","DyGG3AbaNP","k8jYdgA6NY","XTarYq4gQB","FU0Cs4j7VP","jLgFTUHLKL","9HNa5Wba9A","DpFCA1CohY"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2193","layer":4},{"info":"number node, value=3947","layer":4},{"info":"compute binary expreesion, left_input=2193, right_input=3947, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=7187","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=7187, right_input=2267, op_id = k8jYdgA6NY binary_op_definition= 'None', output=386","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=386, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=2739","layer":4},{"info":"compute unary expreesion, input=2739, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-409678","layer":3},{"info":"compute unary expreesion, input=-409678, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=60222666","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=60222666, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1115","layer":4},{"info":"number node, value=4761","layer":4},{"info":"compute binary expreesion, left_input=1115, right_input=4761, 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=-7190","layer":3},{"info":"number node, value=4737","layer":4},{"info":"compute unary expreesion, input=4737, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-14211","layer":3},{"info":"compute binary expreesion, left_input=-7190, right_input=-14211, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=102177090","layer":2},{"info":"compute unary expreesion, input=102177090, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-817413940","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-817413940, 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":"((∃⊬891∼∃⊬F6B⪨≂∃⊬1C13%∃⊬8DB)⊭↱(⪝⪂⫅(∃⊬AB3↛⩡⫤)))⪘⫢(↩((∃⊬45B⪨≂∃⊬1299)*(⋗⩬⋾∃⊬1281)))=NaN","reverse_text":"NaN=((∃⊬891∼∃⊬F6B⪨≂∃⊬1C13%∃⊬8DB)⊭↱(⪝⪂⫅(∃⊬AB3↛⩡⫤)))⪘⫢(↩((∃⊬45B⪨≂∃⊬1299)*(⋗⩬⋾∃⊬1281)))","cot":[{"info":"∃⊬891∼∃⊬F6B=NaN","layer":3},{"info":"∃⊬1C13%∃⊬8DB=∃⊬182","layer":3},{"info":"NaN⪨≂∃⊬182=NaN","layer":2},{"info":"∃⊬AB3↛⩡⫤=∃⊬-6404E","layer":3},{"info":"⪝⪂⫅∃⊬-6404E=∃⊬396ECCA","layer":2},{"info":"NaN⊭↱∃⊬396ECCA=NaN","layer":1},{"info":"∃⊬45B⪨≂∃⊬1299=∃⊬-1C16","layer":3},{"info":"⋗⩬⋾∃⊬1281=∃⊬-3783","layer":3},{"info":"∃⊬-1C16*∃⊬-3783=∃⊬6171942","layer":2},{"info":"↩∃⊬6171942=∃⊬-30B8BF34","layer":1},{"info":"NaN⪘⫢∃⊬-30B8BF34=NaN","layer":0}]}
{"id":416,"expression_no_base_symbol":"⫓⪴((($2236$⨽$1940$)⩤)+$2165$↬$2862$⇼⇔∾(≉$4481$))","expression":"⫓⪴(((∃⊬8BC⨽∃⊬794)⩤)+∃⊬875↬∃⊬B2E⇼⇔∾(≉∃⊬1181))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2253,"operation_count":7,"complexity_ratio":321.85714285714283,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2236,"base":16},"right_expr":{"type":"numeric_atoms","value":1940,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2165,"base":16},"right_expr":{"type":"numeric_atoms","value":2862,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4481,"base":16}}}}},"used_operators":["eLxqMNBOBk","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","tifHPKVTfV","B5M0gjZbta","e1ybzncUwg"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2236","layer":4},{"info":"number node, value=1940","layer":4},{"info":"compute binary expreesion, left_input=2236, right_input=1940, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-15003594","layer":3},{"info":"compute unary expreesion, input=-15003594, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=15003594","layer":2},{"info":"number node, value=2165","layer":4},{"info":"number node, value=2862","layer":4},{"info":"compute binary expreesion, left_input=2165, right_input=2862, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4481","layer":4},{"info":"compute unary expreesion, input=4481, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5012","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5012, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=15003594, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":"⫓⪴(((∃⊬8BC⨽∃⊬794)⩤)+∃⊬875↬∃⊬B2E⇼⇔∾(≉∃⊬1181))=NaN","reverse_text":"NaN=⫓⪴(((∃⊬8BC⨽∃⊬794)⩤)+∃⊬875↬∃⊬B2E⇼⇔∾(≉∃⊬1181))","cot":[{"info":"∃⊬8BC⨽∃⊬794=∃⊬-E4EFCA","layer":3},{"info":"∃⊬-E4EFCA⩤=∃⊬E4EFCA","layer":2},{"info":"∃⊬875↬∃⊬B2E=NaN","layer":3},{"info":"≉∃⊬1181=∃⊬1394","layer":3},{"info":"NaN⇼⇔∾∃⊬1394=NaN","layer":2},{"info":"∃⊬E4EFCA+NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":417,"expression_no_base_symbol":"((⫓⪴($4347$≎⊠⪸$2579$))⊘)⩨(⩦⩻⨪($2297$-$4918$))⪄((↣≠⋷$1594$)∲⫓$1613$⪒$3370$)","expression":"((⫓⪴(∃⊬10FB≎⊠⪸∃⊬A13))⊘)⩨(⩦⩻⨪(∃⊬8F9-∃⊬1336))⪄((↣≠⋷∃⊬63A)∲⫓∃⊬64D⪒∃⊬D2A)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1125796,"operation_count":10,"complexity_ratio":112579.6,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4347,"base":16},"right_expr":{"type":"numeric_atoms","value":2579,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2297,"base":16},"right_expr":{"type":"numeric_atoms","value":4918,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1594,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1613,"base":16},"right_expr":{"type":"numeric_atoms","value":3370,"base":16}}}}},"used_operators":["2DlMacCsIx","gu96TGCTMs","eLxqMNBOBk","bJkvcejdHO","SUmda5xLS4","2td37pGCOC","rysDP5nf3Z","i8ToyICDmI","Asc51vEJeQ","f6k1SAg4EE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4347","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=4347, right_input=2579, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1125400","layer":3},{"info":"compute unary expreesion, input=1125400, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":2},{"info":"compute unary expreesion, input=inf, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=2297","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=4918, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2621","layer":3},{"info":"compute unary expreesion, input=-2621, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2621","layer":2},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1613","layer":4},{"info":"number node, value=3370","layer":4},{"info":"compute binary expreesion, left_input=1613, right_input=3370, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4983","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4983, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2621, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⫓⪴(∃⊬10FB≎⊠⪸∃⊬A13))⊘)⩨(⩦⩻⨪(∃⊬8F9-∃⊬1336))⪄((↣≠⋷∃⊬63A)∲⫓∃⊬64D⪒∃⊬D2A)=NaN","reverse_text":"NaN=((⫓⪴(∃⊬10FB≎⊠⪸∃⊬A13))⊘)⩨(⩦⩻⨪(∃⊬8F9-∃⊬1336))⪄((↣≠⋷∃⊬63A)∲⫓∃⊬64D⪒∃⊬D2A)","cot":[{"info":"∃⊬10FB≎⊠⪸∃⊬A13=∃⊬112C18","layer":3},{"info":"⫓⪴∃⊬112C18=Inf","layer":2},{"info":"Inf⊘=NaN","layer":1},{"info":"∃⊬8F9-∃⊬1336=∃⊬-A3D","layer":3},{"info":"⩦⩻⨪∃⊬-A3D=∃⊬-A3D","layer":2},{"info":"↣≠⋷∃⊬63A=NaN","layer":3},{"info":"∃⊬64D⪒∃⊬D2A=∃⊬-1377","layer":3},{"info":"NaN∲⫓∃⊬-1377=NaN","layer":2},{"info":"∃⊬-A3D⪄NaN=∃⊬F8B","layer":1},{"info":"NaN⩨∃⊬F8B=NaN","layer":0}]}
{"id":418,"expression_no_base_symbol":"(($1759$⇋≉)-$8091$⨰$1051$)∼(∥⊫$7026$⪛$2682$)⨽($1128$⨳⩥⨓$3561$)⨟⋌⩍($4287$⇼⇔∾$3371$)⨪↰⇹((⨈⫕$3469$)⩷∴(↔$8323$))","expression":"((∃⊬6DF⇋≉)-∃⊬1F9B⨰∃⊬41B)∼(∥⊫∃⊬1B72⪛∃⊬A7A)⨽(∃⊬468⨳⩥⨓∃⊬DE9)⨟⋌⩍(∃⊬10BF⇼⇔∾∃⊬D2B)⨪↰⇹((⨈⫕∃⊬D8D)⩷∴(↔∃⊬2083))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4681,"operation_count":14,"complexity_ratio":334.35714285714283,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1759,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8091,"base":16},"right_expr":{"type":"numeric_atoms","value":1051,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":7026,"base":16},"right_expr":{"type":"numeric_atoms","value":2682,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1128,"base":16},"right_expr":{"type":"numeric_atoms","value":3561,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4287,"base":16},"right_expr":{"type":"numeric_atoms","value":3371,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3469,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":8323,"base":16}}}}},"used_operators":["8HhzD0ZcuI","DyGG3AbaNP","rysDP5nf3Z","XIabStNQrY","eewbuw0ToL","P8v4zCKN1o","uFcxV4UQCh","tmPS8pqC7x","rGHVDoGpnC","nCS4ZIUYfx","tifHPKVTfV","9FxExcQeMw","megm06wKyl","ruOEQAzv1W"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rJVOvQCfKK","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1759","layer":4},{"info":"compute unary expreesion, input=1759, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=3420","layer":3},{"info":"number node, value=8091","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=8091, right_input=1051, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7050","layer":3},{"info":"compute binary expreesion, left_input=3420, right_input=7050, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3630","layer":2},{"info":"number node, value=7026","layer":4},{"info":"number node, value=2682","layer":4},{"info":"compute binary expreesion, left_input=7026, right_input=2682, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1662","layer":3},{"info":"compute unary expreesion, input=1662, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2530","layer":2},{"info":"compute binary expreesion, left_input=-3630, right_input=2530, 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=1128","layer":4},{"info":"number node, value=3561","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=3561, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2433","layer":3},{"info":"number node, value=4287","layer":4},{"info":"number node, value=3371","layer":4},{"info":"compute binary expreesion, left_input=4287, right_input=3371, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-916","layer":3},{"info":"compute binary expreesion, left_input=2433, right_input=-916, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":2},{"info":"number node, value=3469","layer":4},{"info":"compute unary expreesion, input=3469, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=8323","layer":4},{"info":"compute unary expreesion, input=8323, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-8050","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-8050, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16026","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=16026, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬6DF⇋≉)-∃⊬1F9B⨰∃⊬41B)∼(∥⊫∃⊬1B72⪛∃⊬A7A)⨽(∃⊬468⨳⩥⨓∃⊬DE9)⨟⋌⩍(∃⊬10BF⇼⇔∾∃⊬D2B)⨪↰⇹((⨈⫕∃⊬D8D)⩷∴(↔∃⊬2083))=NaN","reverse_text":"NaN=((∃⊬6DF⇋≉)-∃⊬1F9B⨰∃⊬41B)∼(∥⊫∃⊬1B72⪛∃⊬A7A)⨽(∃⊬468⨳⩥⨓∃⊬DE9)⨟⋌⩍(∃⊬10BF⇼⇔∾∃⊬D2B)⨪↰⇹((⨈⫕∃⊬D8D)⩷∴(↔∃⊬2083))","cot":[{"info":"∃⊬6DF⇋≉=∃⊬D5C","layer":3},{"info":"∃⊬1F9B⨰∃⊬41B=∃⊬1B8A","layer":3},{"info":"∃⊬D5C-∃⊬1B8A=∃⊬-E2E","layer":2},{"info":"∃⊬1B72⪛∃⊬A7A=∃⊬67E","layer":3},{"info":"∥⊫∃⊬67E=∃⊬9E2","layer":2},{"info":"∃⊬-E2E∼∃⊬9E2=NaN","layer":1},{"info":"∃⊬468⨳⩥⨓∃⊬DE9=∃⊬981","layer":3},{"info":"∃⊬10BF⇼⇔∾∃⊬D2B=∃⊬-394","layer":3},{"info":"∃⊬981⨟⋌⩍∃⊬-394=∃⊬0","layer":2},{"info":"⨈⫕∃⊬D8D=∃⊬-15","layer":3},{"info":"↔∃⊬2083=∃⊬-1F72","layer":3},{"info":"∃⊬-15⩷∴∃⊬-1F72=∃⊬3E9A","layer":2},{"info":"∃⊬0⨪↰⇹∃⊬3E9A=∃⊬0","layer":1},{"info":"NaN⨽∃⊬0=NaN","layer":0}]}
{"id":419,"expression_no_base_symbol":"(⇁⨣⪵(↣≠⋷$3337$))⨟⋌⩍($1805$⋓$6017$≎⊠⪸($2972$⫥∨⫟$1591$))≎⊠⪸((↽≂($2060$≦≮≮))⨽($3258$⨪↰⇹$7091$⪄($8804$⨸⪁$4523$)))","expression":"(⇁⨣⪵(↣≠⋷∃⊬D09))⨟⋌⩍(∃⊬70D⋓∃⊬1781≎⊠⪸(∃⊬B9C⫥∨⫟∃⊬637))≎⊠⪸((↽≂(∃⊬80C≦≮≮))⨽(∃⊬CBA⨪↰⇹∃⊬1BB3⪄(∃⊬2264⨸⪁∃⊬11AB)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16192,"operation_count":13,"complexity_ratio":1245.5384615384614,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3337,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1805,"base":16},"right_expr":{"type":"numeric_atoms","value":6017,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2972,"base":16},"right_expr":{"type":"numeric_atoms","value":1591,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2060,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3258,"base":16},"right_expr":{"type":"numeric_atoms","value":7091,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":8804,"base":16},"right_expr":{"type":"numeric_atoms","value":4523,"base":16}}}}},"used_operators":["bJkvcejdHO","rGHVDoGpnC","inkyxCbjAn","Asc51vEJeQ","T2fj7uvVaJ","KYD54nUTWz","8HhzD0ZcuI","u6S6b8DprG","D4vGDi5EA2","SUmda5xLS4","tmPS8pqC7x","g55IO6H4Gj"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Tcnh7f0tEr","B5M0gjZbta","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3337","layer":4},{"info":"compute unary expreesion, input=3337, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1805","layer":4},{"info":"number node, value=6017","layer":4},{"info":"compute binary expreesion, left_input=1805, right_input=6017, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2972","layer":4},{"info":"number node, value=1591","layer":4},{"info":"compute binary expreesion, left_input=2972, right_input=1591, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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=2060","layer":4},{"info":"compute unary expreesion, input=2060, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-6180","layer":3},{"info":"compute unary expreesion, input=-6180, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=12360","layer":2},{"info":"number node, value=3258","layer":4},{"info":"number node, value=7091","layer":4},{"info":"compute binary expreesion, left_input=3258, right_input=7091, 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=3258","layer":3},{"info":"number node, value=8804","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=8804, right_input=4523, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=26654","layer":3},{"info":"compute binary expreesion, left_input=3258, right_input=26654, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-584889","layer":2},{"info":"compute binary expreesion, left_input=12360, right_input=-584889, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-456552819","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-456552819, 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":"(⇁⨣⪵(↣≠⋷∃⊬D09))⨟⋌⩍(∃⊬70D⋓∃⊬1781≎⊠⪸(∃⊬B9C⫥∨⫟∃⊬637))≎⊠⪸((↽≂(∃⊬80C≦≮≮))⨽(∃⊬CBA⨪↰⇹∃⊬1BB3⪄(∃⊬2264⨸⪁∃⊬11AB)))=∃⊬43","reverse_text":"∃⊬43=(⇁⨣⪵(↣≠⋷∃⊬D09))⨟⋌⩍(∃⊬70D⋓∃⊬1781≎⊠⪸(∃⊬B9C⫥∨⫟∃⊬637))≎⊠⪸((↽≂(∃⊬80C≦≮≮))⨽(∃⊬CBA⨪↰⇹∃⊬1BB3⪄(∃⊬2264⨸⪁∃⊬11AB)))","cot":[{"info":"↣≠⋷∃⊬D09=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"∃⊬70D⋓∃⊬1781=∃⊬0","layer":3},{"info":"∃⊬B9C⫥∨⫟∃⊬637=NaN","layer":3},{"info":"∃⊬0≎⊠⪸NaN=∃⊬43","layer":2},{"info":"NaN⨟⋌⩍∃⊬43=NaN","layer":1},{"info":"∃⊬80C≦≮≮=∃⊬-1824","layer":3},{"info":"↽≂∃⊬-1824=∃⊬3048","layer":2},{"info":"∃⊬CBA⨪↰⇹∃⊬1BB3=∃⊬CBA","layer":3},{"info":"∃⊬2264⨸⪁∃⊬11AB=∃⊬681E","layer":3},{"info":"∃⊬CBA⪄∃⊬681E=∃⊬-8ECB9","layer":2},{"info":"∃⊬3048⨽∃⊬-8ECB9=∃⊬-1B367173","layer":1},{"info":"NaN≎⊠⪸∃⊬-1B367173=∃⊬43","layer":0}]}
{"id":420,"expression_no_base_symbol":"((⫓⪴($1696$⫸⊐$5426$))⊭∹↮)⪘⫢(((↩$3728$)⇼⇔∾($2611$/$6827$))⊭∹↮)","expression":"((⫓⪴(∃⊬6A0⫸⊐∃⊬1532))⊭∹↮)⪘⫢(((↩∃⊬E90)⇼⇔∾(∃⊬A33/∃⊬1AAB))⊭∹↮)","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21649,"operation_count":8,"complexity_ratio":2706.125,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1696,"base":16},"right_expr":{"type":"numeric_atoms","value":5426,"base":16}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3728,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2611,"base":16},"right_expr":{"type":"numeric_atoms","value":6827,"base":16}}}}},"used_operators":["oacrs7FA3X","xNBdhnnwKq","eLxqMNBOBk","mqXw5SEYmG","tifHPKVTfV","jLgFTUHLKL","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z"],"result":"∃⊬6F053768","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1696","layer":4},{"info":"number node, value=5426","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=5426, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21579","layer":3},{"info":"compute unary expreesion, input=21579, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=465653241","layer":2},{"info":"compute unary expreesion, input=465653241, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=931306482","layer":1},{"info":"number node, value=3728","layer":4},{"info":"compute unary expreesion, input=3728, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-27044","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=6827","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=6827, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-27044, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=27044","layer":2},{"info":"compute unary expreesion, input=27044, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=54088","layer":1},{"info":"compute binary expreesion, left_input=931306482, right_input=54088, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1862612840","layer":0}],"base":16,"result_base":16,"text":"((⫓⪴(∃⊬6A0⫸⊐∃⊬1532))⊭∹↮)⪘⫢(((↩∃⊬E90)⇼⇔∾(∃⊬A33/∃⊬1AAB))⊭∹↮)=∃⊬6F053768","reverse_text":"∃⊬6F053768=((⫓⪴(∃⊬6A0⫸⊐∃⊬1532))⊭∹↮)⪘⫢(((↩∃⊬E90)⇼⇔∾(∃⊬A33/∃⊬1AAB))⊭∹↮)","cot":[{"info":"∃⊬6A0⫸⊐∃⊬1532=∃⊬544B","layer":3},{"info":"⫓⪴∃⊬544B=∃⊬1BC14DF9","layer":2},{"info":"∃⊬1BC14DF9⊭∹↮=∃⊬37829BF2","layer":1},{"info":"↩∃⊬E90=∃⊬-69A4","layer":3},{"info":"∃⊬A33/∃⊬1AAB=∃⊬0","layer":3},{"info":"∃⊬-69A4⇼⇔∾∃⊬0=∃⊬69A4","layer":2},{"info":"∃⊬69A4⊭∹↮=∃⊬D348","layer":1},{"info":"∃⊬37829BF2⪘⫢∃⊬D348=∃⊬6F053768","layer":0}]}
{"id":421,"expression_no_base_symbol":"(≤/$4260$∀⇚≩$1016$∑⇟⊟($4630$⨽$1972$))⇷((∂$2406$)≭$3442$⪛$7529$/(⊙↵-($2090$⊭↱$4608$)))","expression":"(≤/∃⊬10A4∀⇚≩∃⊬3F8∑⇟⊟(∃⊬1216⨽∃⊬7B4))⇷((∂∃⊬966)≭∃⊬D72⪛∃⊬1D69/(⊙↵-(∃⊬82A⊭↱∃⊬1200)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39568,"operation_count":11,"complexity_ratio":3597.090909090909,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4260,"base":16},"right_expr":{"type":"numeric_atoms","value":1016,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4630,"base":16},"right_expr":{"type":"numeric_atoms","value":1972,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2406,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3442,"base":16},"right_expr":{"type":"numeric_atoms","value":7529,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2090,"base":16},"right_expr":{"type":"numeric_atoms","value":4608,"base":16}}}}},"used_operators":["mp7IySMOzn","eLAdDNolq6","U7g4x0WXJJ","LRNGc0VcxI","8HhzD0ZcuI","XhwjNDsVaA","rxpJgHHUmx","Uaa54Peajs","uFcxV4UQCh","oWn0xqSxBt","COABgblf1C"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4260","layer":4},{"info":"number node, value=1016","layer":4},{"info":"compute binary expreesion, left_input=4260, right_input=1016, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4630","layer":4},{"info":"number node, value=1972","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=1972, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-64315302","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-64315302, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=2406","layer":4},{"info":"compute unary expreesion, input=2406, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3442","layer":4},{"info":"number node, value=7529","layer":4},{"info":"compute binary expreesion, left_input=3442, right_input=7529, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3442","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3442, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2090","layer":4},{"info":"number node, value=4608","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=4608, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5041","layer":3},{"info":"compute unary expreesion, input=5041, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"(≤/∃⊬10A4∀⇚≩∃⊬3F8∑⇟⊟(∃⊬1216⨽∃⊬7B4))⇷((∂∃⊬966)≭∃⊬D72⪛∃⊬1D69/(⊙↵-(∃⊬82A⊭↱∃⊬1200)))=NaN","reverse_text":"NaN=(≤/∃⊬10A4∀⇚≩∃⊬3F8∑⇟⊟(∃⊬1216⨽∃⊬7B4))⇷((∂∃⊬966)≭∃⊬D72⪛∃⊬1D69/(⊙↵-(∃⊬82A⊭↱∃⊬1200)))","cot":[{"info":"∃⊬10A4∀⇚≩∃⊬3F8=NaN","layer":3},{"info":"∃⊬1216⨽∃⊬7B4=∃⊬-3D55FA6","layer":3},{"info":"NaN∑⇟⊟∃⊬-3D55FA6=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"∂∃⊬966=NaN","layer":3},{"info":"∃⊬D72⪛∃⊬1D69=∃⊬D72","layer":3},{"info":"NaN≭∃⊬D72=NaN","layer":2},{"info":"∃⊬82A⊭↱∃⊬1200=∃⊬13B1","layer":3},{"info":"⊙↵-∃⊬13B1=∃⊬-1","layer":2},{"info":"NaN/∃⊬-1=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":422,"expression_no_base_symbol":"↩($2333$⨰$6013$⨎($9724$↙$3914$)-($2090$⋥≓≎$1441$⫡⨏($4061$⊠≄⫣)))","expression":"↩(∃⊬91D⨰∃⊬177D⨎(∃⊬25FC↙∃⊬F4A)-(∃⊬82A⋥≓≎∃⊬5A1⫡⨏(∃⊬FDD⊠≄⫣)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3959,"operation_count":8,"complexity_ratio":494.875,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2333,"base":16},"right_expr":{"type":"numeric_atoms","value":6013,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9724,"base":16},"right_expr":{"type":"numeric_atoms","value":3914,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2090,"base":16},"right_expr":{"type":"numeric_atoms","value":1441,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4061,"base":16}}}}},"used_operators":["jLgFTUHLKL","rysDP5nf3Z","rJVOvQCfKK","eewbuw0ToL","yyfyN0ffXY","QMFrweE19q","Qy55tPpLXF","DIvbN7qnHd"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬10E64","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2333","layer":4},{"info":"number node, value=6013","layer":4},{"info":"compute binary expreesion, left_input=2333, right_input=6013, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3670","layer":3},{"info":"number node, value=9724","layer":4},{"info":"number node, value=3914","layer":4},{"info":"compute binary expreesion, left_input=9724, right_input=3914, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11742","layer":3},{"info":"compute binary expreesion, left_input=-3670, right_input=-11742, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-11742","layer":2},{"info":"number node, value=2090","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=2090, right_input=1441, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=825","layer":3},{"info":"number node, value=4061","layer":4},{"info":"compute unary expreesion, input=4061, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=825, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=4908","layer":2},{"info":"compute binary expreesion, left_input=-11742, right_input=4908, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-16650","layer":1},{"info":"compute unary expreesion, input=-16650, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=69220","layer":0}],"base":16,"result_base":16,"text":"↩(∃⊬91D⨰∃⊬177D⨎(∃⊬25FC↙∃⊬F4A)-(∃⊬82A⋥≓≎∃⊬5A1⫡⨏(∃⊬FDD⊠≄⫣)))=∃⊬10E64","reverse_text":"∃⊬10E64=↩(∃⊬91D⨰∃⊬177D⨎(∃⊬25FC↙∃⊬F4A)-(∃⊬82A⋥≓≎∃⊬5A1⫡⨏(∃⊬FDD⊠≄⫣)))","cot":[{"info":"∃⊬91D⨰∃⊬177D=∃⊬-E56","layer":3},{"info":"∃⊬25FC↙∃⊬F4A=∃⊬-2DDE","layer":3},{"info":"∃⊬-E56⨎∃⊬-2DDE=∃⊬-2DDE","layer":2},{"info":"∃⊬82A⋥≓≎∃⊬5A1=∃⊬339","layer":3},{"info":"∃⊬FDD⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬339⫡⨏∃⊬0=∃⊬132C","layer":2},{"info":"∃⊬-2DDE-∃⊬132C=∃⊬-410A","layer":1},{"info":"↩∃⊬-410A=∃⊬10E64","layer":0}]}
{"id":423,"expression_no_base_symbol":"((($1431$⋥≓≎$2548$)⫌⩹⨱)⪨≂(($8525$∸)↛⩡⫤))≎⊠⪸($2318$⨪↰⇹$2736$⨰($7020$⨸⪁$8283$)⋥≓≎(⊥$1410$)⨰$1990$⨓$4215$)","expression":"(((∃⊬597⋥≓≎∃⊬9F4)⫌⩹⨱)⪨≂((∃⊬214D∸)↛⩡⫤))≎⊠⪸(∃⊬90E⨪↰⇹∃⊬AB0⨰(∃⊬1B6C⨸⪁∃⊬205B)⋥≓≎(⊥∃⊬582)⨰∃⊬7C6⨓∃⊬1077)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7685,"operation_count":13,"complexity_ratio":591.1538461538462,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1431,"base":16},"right_expr":{"type":"numeric_atoms","value":2548,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8525,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2318,"base":16},"right_expr":{"type":"numeric_atoms","value":2736,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7020,"base":16},"right_expr":{"type":"numeric_atoms","value":8283,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1410,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1990,"base":16},"right_expr":{"type":"numeric_atoms","value":4215,"base":16}}}}},"used_operators":["bJkvcejdHO","sdazOOVcIp","EBcxylXtPf","Qy55tPpLXF","FU0Cs4j7VP","o20kRiQErp","eewbuw0ToL","tmPS8pqC7x","g55IO6H4Gj","Q3PJZHRvZv","3ViojmjbAp"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","fu6greOZ01","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬FA4447","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1431","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=2548, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3698","layer":3},{"info":"compute unary expreesion, input=3698, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8797","layer":2},{"info":"number node, value=8525","layer":4},{"info":"compute unary expreesion, input=8525, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-22816","layer":2},{"info":"compute binary expreesion, left_input=8797, right_input=-22816, 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=63328","layer":1},{"info":"number node, value=2318","layer":4},{"info":"number node, value=2736","layer":4},{"info":"compute binary expreesion, left_input=2318, right_input=2736, 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=2318","layer":3},{"info":"number node, value=7020","layer":4},{"info":"number node, value=8283","layer":4},{"info":"compute binary expreesion, left_input=7020, right_input=8283, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=30606","layer":3},{"info":"compute binary expreesion, left_input=2318, right_input=30606, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-28278","layer":2},{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1990","layer":4},{"info":"number node, value=4215","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=4215, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4218","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4218, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-28278, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=63328, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=16401479","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬597⋥≓≎∃⊬9F4)⫌⩹⨱)⪨≂((∃⊬214D∸)↛⩡⫤))≎⊠⪸(∃⊬90E⨪↰⇹∃⊬AB0⨰(∃⊬1B6C⨸⪁∃⊬205B)⋥≓≎(⊥∃⊬582)⨰∃⊬7C6⨓∃⊬1077)=∃⊬FA4447","reverse_text":"∃⊬FA4447=(((∃⊬597⋥≓≎∃⊬9F4)⫌⩹⨱)⪨≂((∃⊬214D∸)↛⩡⫤))≎⊠⪸(∃⊬90E⨪↰⇹∃⊬AB0⨰(∃⊬1B6C⨸⪁∃⊬205B)⋥≓≎(⊥∃⊬582)⨰∃⊬7C6⨓∃⊬1077)","cot":[{"info":"∃⊬597⋥≓≎∃⊬9F4=∃⊬E72","layer":3},{"info":"∃⊬E72⫌⩹⨱=∃⊬225D","layer":2},{"info":"∃⊬214D∸=∃⊬B1","layer":3},{"info":"∃⊬B1↛⩡⫤=∃⊬-5920","layer":2},{"info":"∃⊬225D⪨≂∃⊬-5920=∃⊬F760","layer":1},{"info":"∃⊬90E⨪↰⇹∃⊬AB0=∃⊬90E","layer":3},{"info":"∃⊬1B6C⨸⪁∃⊬205B=∃⊬778E","layer":3},{"info":"∃⊬90E⨰∃⊬778E=∃⊬-6E76","layer":2},{"info":"⊥∃⊬582=NaN","layer":3},{"info":"∃⊬7C6⨓∃⊬1077=∃⊬-107A","layer":3},{"info":"NaN⨰∃⊬-107A=NaN","layer":2},{"info":"∃⊬-6E76⋥≓≎NaN=∃⊬43","layer":1},{"info":"∃⊬F760≎⊠⪸∃⊬43=∃⊬FA4447","layer":0}]}
{"id":424,"expression_no_base_symbol":"((⋗⩬⋾($4728$⪒$2640$))∑⇟⊟((⪲⇎$1546$)↛⩡⫤))⪛(-(⇁⨣⪵$6153$))⪢(↔($3748$⨐⩸⫘$2954$))","expression":"((⋗⩬⋾(∃⊬1278⪒∃⊬A50))∑⇟⊟((⪲⇎∃⊬60A)↛⩡⫤))⪛(-(⇁⨣⪵∃⊬1809))⪢(↔(∃⊬EA4⨐⩸⫘∃⊬B8A))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9582,"operation_count":11,"complexity_ratio":871.0909090909091,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4728,"base":16},"right_expr":{"type":"numeric_atoms","value":2640,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1546,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":6153,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3748,"base":16},"right_expr":{"type":"numeric_atoms","value":2954,"base":16}}}}},"used_operators":["uFcxV4UQCh","U7g4x0WXJJ","DpFCA1CohY","f6k1SAg4EE","FU0Cs4j7VP","XPYlsWDdGa","dWAJyo7jo9","t8gj7n24qd","inkyxCbjAn","ruOEQAzv1W","fu6greOZ01"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","B5M0gjZbta","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4728","layer":4},{"info":"number node, value=2640","layer":4},{"info":"compute binary expreesion, left_input=4728, right_input=2640, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7368","layer":3},{"info":"compute unary expreesion, input=-7368, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=22104","layer":2},{"info":"number node, value=1546","layer":4},{"info":"compute unary expreesion, input=1546, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3092","layer":3},{"info":"compute unary expreesion, input=3092, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-462981","layer":2},{"info":"compute binary expreesion, left_input=22104, right_input=-462981, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=6153","layer":4},{"info":"compute unary expreesion, input=6153, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=3748","layer":4},{"info":"number node, value=2954","layer":4},{"info":"compute binary expreesion, left_input=3748, right_input=2954, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⋗⩬⋾(∃⊬1278⪒∃⊬A50))∑⇟⊟((⪲⇎∃⊬60A)↛⩡⫤))⪛(-(⇁⨣⪵∃⊬1809))⪢(↔(∃⊬EA4⨐⩸⫘∃⊬B8A))=NaN","reverse_text":"NaN=((⋗⩬⋾(∃⊬1278⪒∃⊬A50))∑⇟⊟((⪲⇎∃⊬60A)↛⩡⫤))⪛(-(⇁⨣⪵∃⊬1809))⪢(↔(∃⊬EA4⨐⩸⫘∃⊬B8A))","cot":[{"info":"∃⊬1278⪒∃⊬A50=∃⊬-1CC8","layer":3},{"info":"⋗⩬⋾∃⊬-1CC8=∃⊬5658","layer":2},{"info":"⪲⇎∃⊬60A=∃⊬C14","layer":3},{"info":"∃⊬C14↛⩡⫤=∃⊬-71085","layer":2},{"info":"∃⊬5658∑⇟⊟∃⊬-71085=NaN","layer":1},{"info":"⇁⨣⪵∃⊬1809=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∃⊬EA4⨐⩸⫘∃⊬B8A=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"NaN⪢∃⊬-86=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":425,"expression_no_base_symbol":"⋗⩬⋾(⨑⩽⪐(⊙↵-($3450$⨓$7715$)))","expression":"⋗⩬⋾(⨑⩽⪐(⊙↵-(∃⊬D7A⨓∃⊬1E23)))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":15478,"operation_count":4,"complexity_ratio":3869.5,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3450,"base":16},"right_expr":{"type":"numeric_atoms","value":7715,"base":16}}}}},"used_operators":["DpFCA1CohY","AF7qkfDlqP","oWn0xqSxBt","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-E7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3450","layer":4},{"info":"number node, value=7715","layer":4},{"info":"compute binary expreesion, left_input=3450, right_input=7715, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7718","layer":3},{"info":"compute unary expreesion, input=-7718, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=77","layer":1},{"info":"compute unary expreesion, input=77, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-231","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾(⨑⩽⪐(⊙↵-(∃⊬D7A⨓∃⊬1E23)))=∃⊬-E7","reverse_text":"∃⊬-E7=⋗⩬⋾(⨑⩽⪐(⊙↵-(∃⊬D7A⨓∃⊬1E23)))","cot":[{"info":"∃⊬D7A⨓∃⊬1E23=∃⊬-1E26","layer":3},{"info":"⊙↵-∃⊬-1E26=∃⊬C4","layer":2},{"info":"⨑⩽⪐∃⊬C4=∃⊬4D","layer":1},{"info":"⋗⩬⋾∃⊬4D=∃⊬-E7","layer":0}]}
{"id":426,"expression_no_base_symbol":"↣≠⋷((⫛⫱⨽($4320$≧⫂∧$3951$))⋳⪒(⊄⩳↩$4257$)⨪↰⇹$4309$∀⇚≩$1211$)","expression":"↣≠⋷((⫛⫱⨽(∃⊬10E0≧⫂∧∃⊬F6F))⋳⪒(⊄⩳↩∃⊬10A1)⨪↰⇹∃⊬10D5∀⇚≩∃⊬4BB)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":44370,"operation_count":7,"complexity_ratio":6338.571428571428,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4320,"base":16},"right_expr":{"type":"numeric_atoms","value":3951,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4257,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4309,"base":16},"right_expr":{"type":"numeric_atoms","value":1211,"base":16}}}}},"used_operators":["Asc51vEJeQ","12rbrZMWeM","DlLNRPXxWL","Ph9nP6C5qx","tmPS8pqC7x","8w2t5hMYqp","LRNGc0VcxI"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4320","layer":4},{"info":"number node, value=3951","layer":4},{"info":"compute binary expreesion, left_input=4320, right_input=3951, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3478","layer":3},{"info":"compute unary expreesion, input=3478, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=4257","layer":4},{"info":"compute unary expreesion, input=4257, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12771","layer":3},{"info":"number node, value=4309","layer":4},{"info":"number node, value=1211","layer":4},{"info":"compute binary expreesion, left_input=4309, right_input=1211, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12771, 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=12771","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=12771, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-13058","layer":1},{"info":"compute unary expreesion, input=-13058, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷((⫛⫱⨽(∃⊬10E0≧⫂∧∃⊬F6F))⋳⪒(⊄⩳↩∃⊬10A1)⨪↰⇹∃⊬10D5∀⇚≩∃⊬4BB)=NaN","reverse_text":"NaN=↣≠⋷((⫛⫱⨽(∃⊬10E0≧⫂∧∃⊬F6F))⋳⪒(⊄⩳↩∃⊬10A1)⨪↰⇹∃⊬10D5∀⇚≩∃⊬4BB)","cot":[{"info":"∃⊬10E0≧⫂∧∃⊬F6F=∃⊬D96","layer":3},{"info":"⫛⫱⨽∃⊬D96=∃⊬0","layer":2},{"info":"⊄⩳↩∃⊬10A1=∃⊬-31E3","layer":3},{"info":"∃⊬10D5∀⇚≩∃⊬4BB=NaN","layer":3},{"info":"∃⊬-31E3⨪↰⇹NaN=∃⊬31E3","layer":2},{"info":"∃⊬0⋳⪒∃⊬31E3=∃⊬-3302","layer":1},{"info":"↣≠⋷∃⊬-3302=NaN","layer":0}]}
{"id":427,"expression_no_base_symbol":"⊥(⩦⩻⨪($1707$⩷∴$2941$⊦⊿))","expression":"⊥(⩦⩻⨪(∃⊬6AB⩷∴∃⊬B7D⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":16,"operation_count":4,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1707,"base":16},"right_expr":{"type":"numeric_atoms","value":2941,"base":16}}}}},"used_operators":["Q3PJZHRvZv","2td37pGCOC","14qkJME0vr","9FxExcQeMw"],"dependent_operators":["fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1707","layer":4},{"info":"number node, value=2941","layer":4},{"info":"compute binary expreesion, left_input=1707, right_input=2941, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2500","layer":3},{"info":"compute unary expreesion, input=-2500, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=7421","layer":2},{"info":"compute unary expreesion, input=7421, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7421","layer":1},{"info":"compute unary expreesion, input=7421, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊥(⩦⩻⨪(∃⊬6AB⩷∴∃⊬B7D⊦⊿))=NaN","reverse_text":"NaN=⊥(⩦⩻⨪(∃⊬6AB⩷∴∃⊬B7D⊦⊿))","cot":[{"info":"∃⊬6AB⩷∴∃⊬B7D=∃⊬-9C4","layer":3},{"info":"∃⊬-9C4⊦⊿=∃⊬1CFD","layer":2},{"info":"⩦⩻⨪∃⊬1CFD=∃⊬1CFD","layer":1},{"info":"⊥∃⊬1CFD=NaN","layer":0}]}
{"id":428,"expression_no_base_symbol":"(⨈⫕(($1778$⪒$1130$)⊉≛↸(↔$1027$)))⪢((⊄⩳↩(≦∁$3098$))≎⊠⪸(↽≂$1456$)⩷∴($6527$⋝⋈⪟$1402$))","expression":"(⨈⫕((∃⊬6F2⪒∃⊬46A)⊉≛↸(↔∃⊬403)))⪢((⊄⩳↩(≦∁∃⊬C1A))≎⊠⪸(↽≂∃⊬5B0)⩷∴(∃⊬197F⋝⋈⪟∃⊬57A))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":504,"operation_count":11,"complexity_ratio":45.81818181818182,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1778,"base":16},"right_expr":{"type":"numeric_atoms","value":1130,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1027,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3098,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1456,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6527,"base":16},"right_expr":{"type":"numeric_atoms","value":1402,"base":16}}}}},"used_operators":["dWAJyo7jo9","megm06wKyl","DZ8iAZOCBD","f6k1SAg4EE","ruOEQAzv1W","bJkvcejdHO","8w2t5hMYqp","9ICcGScMcE","9FxExcQeMw","u6S6b8DprG","2DDjHMKMc0"],"dependent_operators":["k8jYdgA6NY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1778","layer":4},{"info":"number node, value=1130","layer":4},{"info":"compute binary expreesion, left_input=1778, right_input=1130, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2908","layer":3},{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-754","layer":3},{"info":"compute binary expreesion, left_input=-2908, right_input=-754, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=754","layer":2},{"info":"compute unary expreesion, input=754, 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=3098","layer":4},{"info":"compute unary expreesion, input=3098, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3098","layer":3},{"info":"compute unary expreesion, input=3098, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-9294","layer":2},{"info":"number node, value=1456","layer":4},{"info":"compute unary expreesion, input=1456, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2912","layer":3},{"info":"number node, value=6527","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=6527, right_input=1402, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6527","layer":3},{"info":"compute binary expreesion, left_input=-2912, right_input=6527, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18910","layer":2},{"info":"compute binary expreesion, left_input=-9294, right_input=-18910, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=67, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕((∃⊬6F2⪒∃⊬46A)⊉≛↸(↔∃⊬403)))⪢((⊄⩳↩(≦∁∃⊬C1A))≎⊠⪸(↽≂∃⊬5B0)⩷∴(∃⊬197F⋝⋈⪟∃⊬57A))=NaN","reverse_text":"NaN=(⨈⫕((∃⊬6F2⪒∃⊬46A)⊉≛↸(↔∃⊬403)))⪢((⊄⩳↩(≦∁∃⊬C1A))≎⊠⪸(↽≂∃⊬5B0)⩷∴(∃⊬197F⋝⋈⪟∃⊬57A))","cot":[{"info":"∃⊬6F2⪒∃⊬46A=∃⊬-B5C","layer":3},{"info":"↔∃⊬403=∃⊬-2F2","layer":3},{"info":"∃⊬-B5C⊉≛↸∃⊬-2F2=∃⊬2F2","layer":2},{"info":"⨈⫕∃⊬2F2=∃⊬-15","layer":1},{"info":"≦∁∃⊬C1A=∃⊬C1A","layer":3},{"info":"⊄⩳↩∃⊬C1A=∃⊬-244E","layer":2},{"info":"↽≂∃⊬5B0=∃⊬-B60","layer":3},{"info":"∃⊬197F⋝⋈⪟∃⊬57A=∃⊬197F","layer":3},{"info":"∃⊬-B60⩷∴∃⊬197F=∃⊬-49DE","layer":2},{"info":"∃⊬-244E≎⊠⪸∃⊬-49DE=∃⊬43","layer":1},{"info":"∃⊬-15⪢∃⊬43=NaN","layer":0}]}
{"id":429,"expression_no_base_symbol":"($1007$≭$6486$⊘)≭(⨈⫕(⨑⩽⪐$1619$))⇼⇔∾((↣≠⋷$3712$)%$2082$⨟⋌⩍$4710$)⫸⊐(⨰⫟⨤$5529$)⨰$5335$⪢$3017$","expression":"(∃⊬3EF≭∃⊬1956⊘)≭(⨈⫕(⨑⩽⪐∃⊬653))⇼⇔∾((↣≠⋷∃⊬E80)%∃⊬822⨟⋌⩍∃⊬1266)⫸⊐(⨰⫟⨤∃⊬1599)⨰∃⊬14D7⪢∃⊬BC9","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32526,"operation_count":13,"complexity_ratio":2502.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":6486,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1619,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3712,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2082,"base":16},"right_expr":{"type":"numeric_atoms","value":4710,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5529,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5335,"base":16},"right_expr":{"type":"numeric_atoms","value":3017,"base":16}}}}},"used_operators":["tifHPKVTfV","rxpJgHHUmx","gu96TGCTMs","megm06wKyl","AF7qkfDlqP","mqXw5SEYmG","k8jYdgA6NY","Asc51vEJeQ","rGHVDoGpnC","eewbuw0ToL","Tw270M8GLb","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1007","layer":4},{"info":"number node, value=6486","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=6486, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"number node, value=1619","layer":4},{"info":"compute unary expreesion, input=1619, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1346","layer":3},{"info":"compute unary expreesion, input=-1346, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 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=3712","layer":4},{"info":"compute unary expreesion, input=3712, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2082","layer":4},{"info":"number node, value=4710","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=4710, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=5529","layer":4},{"info":"compute unary expreesion, input=5529, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5335","layer":4},{"info":"number node, value=3017","layer":4},{"info":"compute binary expreesion, left_input=5335, right_input=3017, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬3EF≭∃⊬1956⊘)≭(⨈⫕(⨑⩽⪐∃⊬653))⇼⇔∾((↣≠⋷∃⊬E80)%∃⊬822⨟⋌⩍∃⊬1266)⫸⊐(⨰⫟⨤∃⊬1599)⨰∃⊬14D7⪢∃⊬BC9=NaN","reverse_text":"NaN=(∃⊬3EF≭∃⊬1956⊘)≭(⨈⫕(⨑⩽⪐∃⊬653))⇼⇔∾((↣≠⋷∃⊬E80)%∃⊬822⨟⋌⩍∃⊬1266)⫸⊐(⨰⫟⨤∃⊬1599)⨰∃⊬14D7⪢∃⊬BC9","cot":[{"info":"∃⊬3EF≭∃⊬1956=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"⨑⩽⪐∃⊬653=∃⊬-542","layer":3},{"info":"⨈⫕∃⊬-542=∃⊬-15","layer":2},{"info":"NaN≭∃⊬-15=NaN","layer":1},{"info":"↣≠⋷∃⊬E80=NaN","layer":3},{"info":"∃⊬822⨟⋌⩍∃⊬1266=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"⨰⫟⨤∃⊬1599=NaN","layer":3},{"info":"∃⊬14D7⪢∃⊬BC9=NaN","layer":3},{"info":"NaN⨰NaN=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":430,"expression_no_base_symbol":"((⨵≀≌$1376$)⇋≉)∑⇟⊟($3067$↙$2625$)⇷($1185$⇼⇔∾$1533$)⇼⇔∾(⫓⪴($3463$⇼⇔∾$2971$))⊴(($1526$∲⫓$5386$)⨐⩸⫘($1056$*$3454$))","expression":"((⨵≀≌∃⊬560)⇋≉)∑⇟⊟(∃⊬BFB↙∃⊬A41)⇷(∃⊬4A1⇼⇔∾∃⊬5FD)⇼⇔∾(⫓⪴(∃⊬D87⇼⇔∾∃⊬B9B))⊴((∃⊬5F6∲⫓∃⊬150A)⨐⩸⫘(∃⊬420*∃⊬D7E))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":607659,"operation_count":13,"complexity_ratio":46743.0,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1376,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3067,"base":16},"right_expr":{"type":"numeric_atoms","value":2625,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1185,"base":16},"right_expr":{"type":"numeric_atoms","value":1533,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3463,"base":16},"right_expr":{"type":"numeric_atoms","value":2971,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1526,"base":16},"right_expr":{"type":"numeric_atoms","value":5386,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1056,"base":16},"right_expr":{"type":"numeric_atoms","value":3454,"base":16}}}}},"used_operators":["tifHPKVTfV","U7g4x0WXJJ","XIabStNQrY","srAu1WTS94","mp7IySMOzn","yyfyN0ffXY","Nsiff2A1zJ","eLxqMNBOBk","fu6greOZ01","i8ToyICDmI","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1376","layer":4},{"info":"compute unary expreesion, input=1376, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4128","layer":3},{"info":"compute unary expreesion, input=-4128, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-8354","layer":2},{"info":"number node, value=3067","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=2625, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7875","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=1533, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=348","layer":3},{"info":"compute binary expreesion, left_input=-7875, right_input=348, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=696","layer":2},{"info":"compute binary expreesion, left_input=-8354, right_input=696, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3463","layer":4},{"info":"number node, value=2971","layer":4},{"info":"compute binary expreesion, left_input=3463, right_input=2971, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-492","layer":3},{"info":"compute unary expreesion, input=-492, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=242064","layer":2},{"info":"number node, value=1526","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=1526, right_input=5386, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1056","layer":4},{"info":"number node, value=3454","layer":4},{"info":"compute binary expreesion, left_input=1056, right_input=3454, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3647424","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3647424, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=242064, right_input=nan, 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨵≀≌∃⊬560)⇋≉)∑⇟⊟(∃⊬BFB↙∃⊬A41)⇷(∃⊬4A1⇼⇔∾∃⊬5FD)⇼⇔∾(⫓⪴(∃⊬D87⇼⇔∾∃⊬B9B))⊴((∃⊬5F6∲⫓∃⊬150A)⨐⩸⫘(∃⊬420*∃⊬D7E))=NaN","reverse_text":"NaN=((⨵≀≌∃⊬560)⇋≉)∑⇟⊟(∃⊬BFB↙∃⊬A41)⇷(∃⊬4A1⇼⇔∾∃⊬5FD)⇼⇔∾(⫓⪴(∃⊬D87⇼⇔∾∃⊬B9B))⊴((∃⊬5F6∲⫓∃⊬150A)⨐⩸⫘(∃⊬420*∃⊬D7E))","cot":[{"info":"⨵≀≌∃⊬560=∃⊬-1020","layer":3},{"info":"∃⊬-1020⇋≉=∃⊬-20A2","layer":2},{"info":"∃⊬BFB↙∃⊬A41=∃⊬-1EC3","layer":3},{"info":"∃⊬4A1⇼⇔∾∃⊬5FD=∃⊬15C","layer":3},{"info":"∃⊬-1EC3⇷∃⊬15C=∃⊬2B8","layer":2},{"info":"∃⊬-20A2∑⇟⊟∃⊬2B8=NaN","layer":1},{"info":"∃⊬D87⇼⇔∾∃⊬B9B=∃⊬-1EC","layer":3},{"info":"⫓⪴∃⊬-1EC=∃⊬3B190","layer":2},{"info":"∃⊬5F6∲⫓∃⊬150A=∃⊬0","layer":3},{"info":"∃⊬420*∃⊬D7E=∃⊬37A7C0","layer":3},{"info":"∃⊬0⨐⩸⫘∃⊬37A7C0=NaN","layer":2},{"info":"∃⊬3B190⊴NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":431,"expression_no_base_symbol":"(($3247$/$6726$⋷$2311$*$3266$)⇷(⊙↵-($2760$↬$1596$)))⪢((≤/$2045$⊴$8114$)∑⇟⊟($1479$⫸⊐$2468$⫡⨏(-$4451$)))","expression":"((∃⊬CAF/∃⊬1A46⋷∃⊬907*∃⊬CC2)⇷(⊙↵-(∃⊬AC8↬∃⊬63C)))⪢((≤/∃⊬7FD⊴∃⊬1FB2)∑⇟⊟(∃⊬5C7⫸⊐∃⊬9A4⫡⨏(-∃⊬1163)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":10504,"operation_count":13,"complexity_ratio":808.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3247,"base":16},"right_expr":{"type":"numeric_atoms","value":6726,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2311,"base":16},"right_expr":{"type":"numeric_atoms","value":3266,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2760,"base":16},"right_expr":{"type":"numeric_atoms","value":1596,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2045,"base":16},"right_expr":{"type":"numeric_atoms","value":8114,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1479,"base":16},"right_expr":{"type":"numeric_atoms","value":2468,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4451,"base":16}}}}},"used_operators":["dWAJyo7jo9","mp7IySMOzn","23Mk6UjR3U","XhwjNDsVaA","9HNa5Wba9A","oWn0xqSxBt","B5M0gjZbta","U7g4x0WXJJ","eLAdDNolq6","Nsiff2A1zJ","QMFrweE19q","mqXw5SEYmG","t8gj7n24qd"],"dependent_operators":["k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3247","layer":4},{"info":"number node, value=6726","layer":4},{"info":"compute binary expreesion, left_input=3247, right_input=6726, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2311","layer":4},{"info":"number node, value=3266","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=3266, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7547726","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=7547726, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":2},{"info":"number node, value=2760","layer":4},{"info":"number node, value=1596","layer":4},{"info":"compute binary expreesion, left_input=2760, right_input=1596, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=2045","layer":4},{"info":"number node, value=8114","layer":4},{"info":"compute binary expreesion, left_input=2045, right_input=8114, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1479","layer":4},{"info":"number node, value=2468","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=2468, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9747","layer":3},{"info":"number node, value=4451","layer":4},{"info":"compute unary expreesion, input=4451, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4451","layer":3},{"info":"compute binary expreesion, left_input=9747, right_input=-4451, 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=40616","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=40616, 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 = 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":"((∃⊬CAF/∃⊬1A46⋷∃⊬907*∃⊬CC2)⇷(⊙↵-(∃⊬AC8↬∃⊬63C)))⪢((≤/∃⊬7FD⊴∃⊬1FB2)∑⇟⊟(∃⊬5C7⫸⊐∃⊬9A4⫡⨏(-∃⊬1163)))=NaN","reverse_text":"NaN=((∃⊬CAF/∃⊬1A46⋷∃⊬907*∃⊬CC2)⇷(⊙↵-(∃⊬AC8↬∃⊬63C)))⪢((≤/∃⊬7FD⊴∃⊬1FB2)∑⇟⊟(∃⊬5C7⫸⊐∃⊬9A4⫡⨏(-∃⊬1163)))","cot":[{"info":"∃⊬CAF/∃⊬1A46=∃⊬0","layer":3},{"info":"∃⊬907*∃⊬CC2=∃⊬732B4E","layer":3},{"info":"∃⊬0⋷∃⊬732B4E=∃⊬0","layer":2},{"info":"∃⊬AC8↬∃⊬63C=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∃⊬0⇷NaN=NaN","layer":1},{"info":"∃⊬7FD⊴∃⊬1FB2=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬5C7⫸⊐∃⊬9A4=∃⊬2613","layer":3},{"info":"-∃⊬1163=∃⊬-1163","layer":3},{"info":"∃⊬2613⫡⨏∃⊬-1163=∃⊬9EA8","layer":2},{"info":"NaN∑⇟⊟∃⊬9EA8=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":432,"expression_no_base_symbol":"($5987$+⇶⊼$7613$%($1481$⩠))≹⇙⪍(($3358$*$1058$)⋓($2750$%$2597$))⩨(((⊥$5729$)+$4152$⨸⪁$1867$)∸)","expression":"(∃⊬1763+⇶⊼∃⊬1DBD%(∃⊬5C9⩠))≹⇙⪍((∃⊬D1E*∃⊬422)⋓(∃⊬ABE%∃⊬A25))⩨(((⊥∃⊬1661)+∃⊬1038⨸⪁∃⊬74B)∸)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1279,"operation_count":12,"complexity_ratio":106.58333333333333,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5987,"base":16},"right_expr":{"type":"numeric_atoms","value":7613,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1481,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3358,"base":16},"right_expr":{"type":"numeric_atoms","value":1058,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2750,"base":16},"right_expr":{"type":"numeric_atoms","value":2597,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5729,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4152,"base":16},"right_expr":{"type":"numeric_atoms","value":1867,"base":16}}}}},"used_operators":["2DlMacCsIx","AHs5Up7iyr","k8jYdgA6NY","TpPTUOHfaN","sJAwomhLZr","T2fj7uvVaJ","9HNa5Wba9A","o20kRiQErp","W4YGzv6Whe","Q3PJZHRvZv","g55IO6H4Gj"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","rysDP5nf3Z","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","tmPS8pqC7x","fu6greOZ01","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5987","layer":4},{"info":"number node, value=7613","layer":4},{"info":"compute binary expreesion, left_input=5987, right_input=7613, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1481","layer":4},{"info":"compute unary expreesion, input=1481, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3358","layer":4},{"info":"number node, value=1058","layer":4},{"info":"compute binary expreesion, left_input=3358, right_input=1058, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3552764","layer":3},{"info":"number node, value=2750","layer":4},{"info":"number node, value=2597","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=2597, op_id = k8jYdgA6NY binary_op_definition= 'None', output=153","layer":3},{"info":"compute binary expreesion, left_input=3552764, right_input=153, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4152","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=4152, right_input=1867, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12038","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12038, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1763+⇶⊼∃⊬1DBD%(∃⊬5C9⩠))≹⇙⪍((∃⊬D1E*∃⊬422)⋓(∃⊬ABE%∃⊬A25))⩨(((⊥∃⊬1661)+∃⊬1038⨸⪁∃⊬74B)∸)=NaN","reverse_text":"NaN=(∃⊬1763+⇶⊼∃⊬1DBD%(∃⊬5C9⩠))≹⇙⪍((∃⊬D1E*∃⊬422)⋓(∃⊬ABE%∃⊬A25))⩨(((⊥∃⊬1661)+∃⊬1038⨸⪁∃⊬74B)∸)","cot":[{"info":"∃⊬1763+⇶⊼∃⊬1DBD=NaN","layer":3},{"info":"∃⊬5C9⩠=∃⊬0","layer":3},{"info":"NaN%∃⊬0=NaN","layer":2},{"info":"∃⊬D1E*∃⊬422=∃⊬3635FC","layer":3},{"info":"∃⊬ABE%∃⊬A25=∃⊬99","layer":3},{"info":"∃⊬3635FC⋓∃⊬99=∃⊬0","layer":2},{"info":"NaN≹⇙⪍∃⊬0=NaN","layer":1},{"info":"⊥∃⊬1661=NaN","layer":3},{"info":"∃⊬1038⨸⪁∃⊬74B=∃⊬2F06","layer":3},{"info":"NaN+∃⊬2F06=NaN","layer":2},{"info":"NaN∸=∃⊬B1","layer":1},{"info":"NaN⩨∃⊬B1=NaN","layer":0}]}
{"id":433,"expression_no_base_symbol":"↯⪼(($2510$-$2334$)⨎$3121$+⇶⊼$5146$*(≉(⪝⪂⫅$3084$)))","expression":"↯⪼((∃⊬9CE-∃⊬91E)⨎∃⊬C31+⇶⊼∃⊬141A*(≉(⪝⪂⫅∃⊬C0C)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":186,"operation_count":7,"complexity_ratio":26.571428571428573,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2510,"base":16},"right_expr":{"type":"numeric_atoms","value":2334,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3121,"base":16},"right_expr":{"type":"numeric_atoms","value":5146,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3084,"base":16}}}}},"used_operators":["8jW3W4yZS5","9HNa5Wba9A","rJVOvQCfKK","rysDP5nf3Z","TpPTUOHfaN","e1ybzncUwg","XTarYq4gQB"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2510","layer":4},{"info":"number node, value=2334","layer":4},{"info":"compute binary expreesion, left_input=2510, right_input=2334, op_id = rysDP5nf3Z binary_op_definition= 'None', output=176","layer":3},{"info":"number node, value=3121","layer":4},{"info":"number node, value=5146","layer":4},{"info":"compute binary expreesion, left_input=3121, right_input=5146, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=176, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=3084","layer":4},{"info":"compute unary expreesion, input=3084, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-453348","layer":3},{"info":"compute unary expreesion, input=-453348, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-453348","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-453348, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"↯⪼((∃⊬9CE-∃⊬91E)⨎∃⊬C31+⇶⊼∃⊬141A*(≉(⪝⪂⫅∃⊬C0C)))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼((∃⊬9CE-∃⊬91E)⨎∃⊬C31+⇶⊼∃⊬141A*(≉(⪝⪂⫅∃⊬C0C)))","cot":[{"info":"∃⊬9CE-∃⊬91E=∃⊬B0","layer":3},{"info":"∃⊬C31+⇶⊼∃⊬141A=NaN","layer":3},{"info":"∃⊬B0⨎NaN=NaN","layer":2},{"info":"⪝⪂⫅∃⊬C0C=∃⊬-6EAE4","layer":3},{"info":"≉∃⊬-6EAE4=∃⊬-6EAE4","layer":2},{"info":"NaN*∃⊬-6EAE4=NaN","layer":1},{"info":"↯⪼NaN=∃⊬-15","layer":0}]}
{"id":434,"expression_no_base_symbol":"(($5445$+$2286$)⨓(⋗⩬⋾$1928$))∼(($1408$∸)⨎(⊙↵-$4063$))↙((≦∁$3353$)⨽($1217$⫡⨏$1353$))⪛(($1264$⪠⩆⊳)⨳⩥⨓$3756$⨽$5195$)","expression":"((∃⊬1545+∃⊬8EE)⨓(⋗⩬⋾∃⊬788))∼((∃⊬580∸)⨎(⊙↵-∃⊬FDF))↙((≦∁∃⊬D19)⨽(∃⊬4C1⫡⨏∃⊬549))⪛((∃⊬4F0⪠⩆⊳)⨳⩥⨓∃⊬EAC⨽∃⊬144B)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17367,"operation_count":15,"complexity_ratio":1157.8,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5445,"base":16},"right_expr":{"type":"numeric_atoms","value":2286,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1928,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1408,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4063,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3353,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1217,"base":16},"right_expr":{"type":"numeric_atoms","value":1353,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1264,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3756,"base":16},"right_expr":{"type":"numeric_atoms","value":5195,"base":16}}}}},"used_operators":["yyfyN0ffXY","DyGG3AbaNP","3ViojmjbAp","W4YGzv6Whe","DpFCA1CohY","rJVOvQCfKK","o20kRiQErp","oWn0xqSxBt","uFcxV4UQCh","8HhzD0ZcuI","9ICcGScMcE","QMFrweE19q","nCS4ZIUYfx","JLbD19bQDL"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5445","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=5445, right_input=2286, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7731","layer":3},{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5784","layer":3},{"info":"compute binary expreesion, left_input=7731, right_input=-5784, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=5781","layer":2},{"info":"number node, value=1408","layer":4},{"info":"compute unary expreesion, input=1408, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4063","layer":4},{"info":"compute unary expreesion, input=4063, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=5781, right_input=-1, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"number node, value=3353","layer":4},{"info":"compute unary expreesion, input=3353, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3353","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1353, 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=9574","layer":3},{"info":"compute binary expreesion, left_input=3353, right_input=9574, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33755235","layer":2},{"info":"number node, value=1264","layer":4},{"info":"compute unary expreesion, input=1264, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=3756","layer":4},{"info":"number node, value=5195","layer":4},{"info":"compute binary expreesion, left_input=3756, right_input=5195, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-42336879","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-42336879, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-42336879","layer":2},{"info":"compute binary expreesion, left_input=-33755235, right_input=-42336879, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-33755235","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-33755235, 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":"((∃⊬1545+∃⊬8EE)⨓(⋗⩬⋾∃⊬788))∼((∃⊬580∸)⨎(⊙↵-∃⊬FDF))↙((≦∁∃⊬D19)⨽(∃⊬4C1⫡⨏∃⊬549))⪛((∃⊬4F0⪠⩆⊳)⨳⩥⨓∃⊬EAC⨽∃⊬144B)=∃⊬0","reverse_text":"∃⊬0=((∃⊬1545+∃⊬8EE)⨓(⋗⩬⋾∃⊬788))∼((∃⊬580∸)⨎(⊙↵-∃⊬FDF))↙((≦∁∃⊬D19)⨽(∃⊬4C1⫡⨏∃⊬549))⪛((∃⊬4F0⪠⩆⊳)⨳⩥⨓∃⊬EAC⨽∃⊬144B)","cot":[{"info":"∃⊬1545+∃⊬8EE=∃⊬1E33","layer":3},{"info":"⋗⩬⋾∃⊬788=∃⊬-1698","layer":3},{"info":"∃⊬1E33⨓∃⊬-1698=∃⊬1695","layer":2},{"info":"∃⊬580∸=∃⊬B1","layer":3},{"info":"⊙↵-∃⊬FDF=∃⊬-1","layer":3},{"info":"∃⊬B1⨎∃⊬-1=∃⊬-1","layer":2},{"info":"∃⊬1695∼∃⊬-1=∃⊬0","layer":1},{"info":"≦∁∃⊬D19=∃⊬D19","layer":3},{"info":"∃⊬4C1⫡⨏∃⊬549=∃⊬2566","layer":3},{"info":"∃⊬D19⨽∃⊬2566=∃⊬-2031063","layer":2},{"info":"∃⊬4F0⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬EAC⨽∃⊬144B=∃⊬-286026F","layer":3},{"info":"∃⊬0⨳⩥⨓∃⊬-286026F=∃⊬-286026F","layer":2},{"info":"∃⊬-2031063⪛∃⊬-286026F=∃⊬-2031063","layer":1},{"info":"∃⊬0↙∃⊬-2031063=∃⊬0","layer":0}]}
{"id":435,"expression_no_base_symbol":"((↽≂$1597$)⫡⨏($1168$⊭∹↮))⨪↰⇹$2478$⊴$6069$⨟⋌⩍($1159$⨎$4342$)⨳⩥⨓(⋗⩬⋾(($2478$-$3720$)⇼⇔∾($1165$≣⋋)))","expression":"((↽≂∃⊬63D)⫡⨏(∃⊬490⊭∹↮))⨪↰⇹∃⊬9AE⊴∃⊬17B5⨟⋌⩍(∃⊬487⨎∃⊬10F6)⨳⩥⨓(⋗⩬⋾((∃⊬9AE-∃⊬E88)⇼⇔∾(∃⊬48D≣⋋)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":17131,"operation_count":12,"complexity_ratio":1427.5833333333333,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1597,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1168,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2478,"base":16},"right_expr":{"type":"numeric_atoms","value":6069,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1159,"base":16},"right_expr":{"type":"numeric_atoms","value":4342,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2478,"base":16},"right_expr":{"type":"numeric_atoms","value":3720,"base":16}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1165,"base":16}}}}},"used_operators":["nCS4ZIUYfx","tmPS8pqC7x","QMFrweE19q","u6S6b8DprG","xNBdhnnwKq","rGHVDoGpnC","Nsiff2A1zJ","rJVOvQCfKK","DpFCA1CohY","tifHPKVTfV","rysDP5nf3Z","Tcnh7f0tEr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"∃⊬-37A1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1597","layer":4},{"info":"compute unary expreesion, input=1597, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3194","layer":3},{"info":"number node, value=1168","layer":4},{"info":"compute unary expreesion, input=1168, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2336","layer":3},{"info":"compute binary expreesion, left_input=-3194, right_input=2336, 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=-10515","layer":2},{"info":"number node, value=2478","layer":4},{"info":"number node, value=6069","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=6069, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1159","layer":4},{"info":"number node, value=4342","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=4342, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4342","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4342, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10515, 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=10515","layer":1},{"info":"number node, value=2478","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=2478, right_input=3720, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1242","layer":3},{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1242, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1242","layer":2},{"info":"compute unary expreesion, input=1242, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3726","layer":1},{"info":"compute binary expreesion, left_input=10515, right_input=-3726, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-14241","layer":0}],"base":16,"result_base":16,"text":"((↽≂∃⊬63D)⫡⨏(∃⊬490⊭∹↮))⨪↰⇹∃⊬9AE⊴∃⊬17B5⨟⋌⩍(∃⊬487⨎∃⊬10F6)⨳⩥⨓(⋗⩬⋾((∃⊬9AE-∃⊬E88)⇼⇔∾(∃⊬48D≣⋋)))=∃⊬-37A1","reverse_text":"∃⊬-37A1=((↽≂∃⊬63D)⫡⨏(∃⊬490⊭∹↮))⨪↰⇹∃⊬9AE⊴∃⊬17B5⨟⋌⩍(∃⊬487⨎∃⊬10F6)⨳⩥⨓(⋗⩬⋾((∃⊬9AE-∃⊬E88)⇼⇔∾(∃⊬48D≣⋋)))","cot":[{"info":"↽≂∃⊬63D=∃⊬-C7A","layer":3},{"info":"∃⊬490⊭∹↮=∃⊬920","layer":3},{"info":"∃⊬-C7A⫡⨏∃⊬920=∃⊬-2913","layer":2},{"info":"∃⊬9AE⊴∃⊬17B5=NaN","layer":3},{"info":"∃⊬487⨎∃⊬10F6=∃⊬10F6","layer":3},{"info":"NaN⨟⋌⩍∃⊬10F6=NaN","layer":2},{"info":"∃⊬-2913⨪↰⇹NaN=∃⊬2913","layer":1},{"info":"∃⊬9AE-∃⊬E88=∃⊬-4DA","layer":3},{"info":"∃⊬48D≣⋋=∃⊬0","layer":3},{"info":"∃⊬-4DA⇼⇔∾∃⊬0=∃⊬4DA","layer":2},{"info":"⋗⩬⋾∃⊬4DA=∃⊬-E8E","layer":1},{"info":"∃⊬2913⨳⩥⨓∃⊬-E8E=∃⊬-37A1","layer":0}]}
{"id":436,"expression_no_base_symbol":"(⪲⇎$4326$⪛$3081$⋥≓≎($1038$⪨≂$2067$))⊴(↽≂((⨑⩽⪐$4416$)⊭↱($1626$-$1030$)))","expression":"(⪲⇎∃⊬10E6⪛∃⊬C09⋥≓≎(∃⊬40E⪨≂∃⊬813))⊴(↽≂((⨑⩽⪐∃⊬1140)⊭↱(∃⊬65A-∃⊬406)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":19001,"operation_count":9,"complexity_ratio":2111.222222222222,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4326,"base":16},"right_expr":{"type":"numeric_atoms","value":3081,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1038,"base":16},"right_expr":{"type":"numeric_atoms","value":2067,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4416,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1626,"base":16},"right_expr":{"type":"numeric_atoms","value":1030,"base":16}}}}},"used_operators":["Nsiff2A1zJ","XPYlsWDdGa","Qy55tPpLXF","uFcxV4UQCh","sdazOOVcIp","u6S6b8DprG","COABgblf1C","AF7qkfDlqP","rysDP5nf3Z"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4326","layer":4},{"info":"number node, value=3081","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=3081, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1245","layer":3},{"info":"number node, value=1038","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=2067, 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=-1956","layer":3},{"info":"compute binary expreesion, left_input=1245, right_input=-1956, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5124","layer":2},{"info":"compute unary expreesion, input=-5124, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-10248","layer":1},{"info":"number node, value=4416","layer":4},{"info":"compute unary expreesion, input=4416, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4143","layer":3},{"info":"number node, value=1626","layer":4},{"info":"number node, value=1030","layer":4},{"info":"compute binary expreesion, left_input=1626, right_input=1030, op_id = rysDP5nf3Z binary_op_definition= 'None', output=596","layer":3},{"info":"compute binary expreesion, left_input=-4143, right_input=596, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=9483","layer":2},{"info":"compute unary expreesion, input=9483, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-18966","layer":1},{"info":"compute binary expreesion, left_input=-10248, right_input=-18966, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎∃⊬10E6⪛∃⊬C09⋥≓≎(∃⊬40E⪨≂∃⊬813))⊴(↽≂((⨑⩽⪐∃⊬1140)⊭↱(∃⊬65A-∃⊬406)))=NaN","reverse_text":"NaN=(⪲⇎∃⊬10E6⪛∃⊬C09⋥≓≎(∃⊬40E⪨≂∃⊬813))⊴(↽≂((⨑⩽⪐∃⊬1140)⊭↱(∃⊬65A-∃⊬406)))","cot":[{"info":"∃⊬10E6⪛∃⊬C09=∃⊬4DD","layer":3},{"info":"∃⊬40E⪨≂∃⊬813=∃⊬-7A4","layer":3},{"info":"∃⊬4DD⋥≓≎∃⊬-7A4=∃⊬-1404","layer":2},{"info":"⪲⇎∃⊬-1404=∃⊬-2808","layer":1},{"info":"⨑⩽⪐∃⊬1140=∃⊬-102F","layer":3},{"info":"∃⊬65A-∃⊬406=∃⊬254","layer":3},{"info":"∃⊬-102F⊭↱∃⊬254=∃⊬250B","layer":2},{"info":"↽≂∃⊬250B=∃⊬-4A16","layer":1},{"info":"∃⊬-2808⊴∃⊬-4A16=NaN","layer":0}]}
{"id":437,"expression_no_base_symbol":"(⊥($1682$⋳⪒$8465$))⪨≂(⫓⪴$2803$)⨪↰⇹($1564$⪨≂$1269$)/(↣≠⋷($3363$⨓$4323$⨐⩸⫘(⪝⪂⫅$1032$)))","expression":"(⊥(∃⊬692⋳⪒∃⊬2111))⪨≂(⫓⪴∃⊬AF3)⨪↰⇹(∃⊬61C⪨≂∃⊬4F5)/(↣≠⋷(∃⊬D23⨓∃⊬10E3⨐⩸⫘(⪝⪂⫅∃⊬408)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7306,"operation_count":11,"complexity_ratio":664.1818181818181,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1682,"base":16},"right_expr":{"type":"numeric_atoms","value":8465,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2803,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1564,"base":16},"right_expr":{"type":"numeric_atoms","value":1269,"base":16}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3363,"base":16},"right_expr":{"type":"numeric_atoms","value":4323,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1032,"base":16}}}}},"used_operators":["XhwjNDsVaA","sdazOOVcIp","Q3PJZHRvZv","12rbrZMWeM","tmPS8pqC7x","eLxqMNBOBk","Asc51vEJeQ","fu6greOZ01","3ViojmjbAp","XTarYq4gQB"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1682","layer":4},{"info":"number node, value=8465","layer":4},{"info":"compute binary expreesion, left_input=1682, right_input=8465, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-5388","layer":3},{"info":"compute unary expreesion, input=-5388, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2803","layer":4},{"info":"compute unary expreesion, input=2803, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=7856809","layer":3},{"info":"number node, value=1564","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1564, right_input=1269, 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=692","layer":3},{"info":"compute binary expreesion, left_input=7856809, right_input=692, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=3363","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=3363, right_input=4323, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4326","layer":3},{"info":"number node, value=1032","layer":4},{"info":"compute unary expreesion, input=1032, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-151704","layer":3},{"info":"compute binary expreesion, left_input=-4326, right_input=-151704, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊥(∃⊬692⋳⪒∃⊬2111))⪨≂(⫓⪴∃⊬AF3)⨪↰⇹(∃⊬61C⪨≂∃⊬4F5)/(↣≠⋷(∃⊬D23⨓∃⊬10E3⨐⩸⫘(⪝⪂⫅∃⊬408)))=NaN","reverse_text":"NaN=(⊥(∃⊬692⋳⪒∃⊬2111))⪨≂(⫓⪴∃⊬AF3)⨪↰⇹(∃⊬61C⪨≂∃⊬4F5)/(↣≠⋷(∃⊬D23⨓∃⊬10E3⨐⩸⫘(⪝⪂⫅∃⊬408)))","cot":[{"info":"∃⊬692⋳⪒∃⊬2111=∃⊬-150C","layer":3},{"info":"⊥∃⊬-150C=NaN","layer":2},{"info":"⫓⪴∃⊬AF3=∃⊬77E2A9","layer":3},{"info":"∃⊬61C⪨≂∃⊬4F5=∃⊬2B4","layer":3},{"info":"∃⊬77E2A9⨪↰⇹∃⊬2B4=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"∃⊬D23⨓∃⊬10E3=∃⊬-10E6","layer":3},{"info":"⪝⪂⫅∃⊬408=∃⊬-25098","layer":3},{"info":"∃⊬-10E6⨐⩸⫘∃⊬-25098=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":438,"expression_no_base_symbol":"((⊄⩳↩$1122$)%$4019$⇼⇔∾$1557$)⨪↰⇹($4273$≣⋋)⪘⫢(≦∁$1523$)↛⩡⫤","expression":"((⊄⩳↩∃⊬462)%∃⊬FB3⇼⇔∾∃⊬615)⨪↰⇹(∃⊬10B1≣⋋)⪘⫢(≦∁∃⊬5F3)↛⩡⫤","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4268,"operation_count":8,"complexity_ratio":533.5,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4019,"base":16},"right_expr":{"type":"numeric_atoms","value":1557,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4273,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1523,"base":16}}}}},"used_operators":["FU0Cs4j7VP","tmPS8pqC7x","k8jYdgA6NY","8w2t5hMYqp","tifHPKVTfV","oacrs7FA3X","Tcnh7f0tEr","9ICcGScMcE"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬C03","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3366","layer":3},{"info":"number node, value=4019","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=4019, right_input=1557, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2462","layer":3},{"info":"compute binary expreesion, left_input=-3366, right_input=-2462, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-904","layer":2},{"info":"number node, value=4273","layer":4},{"info":"compute unary expreesion, input=4273, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1523","layer":4},{"info":"compute unary expreesion, input=1523, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1523","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1523, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1156","layer":2},{"info":"compute binary expreesion, left_input=-904, right_input=-1156, 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=-904","layer":1},{"info":"compute unary expreesion, input=-904, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=3075","layer":0}],"base":16,"result_base":16,"text":"((⊄⩳↩∃⊬462)%∃⊬FB3⇼⇔∾∃⊬615)⨪↰⇹(∃⊬10B1≣⋋)⪘⫢(≦∁∃⊬5F3)↛⩡⫤=∃⊬C03","reverse_text":"∃⊬C03=((⊄⩳↩∃⊬462)%∃⊬FB3⇼⇔∾∃⊬615)⨪↰⇹(∃⊬10B1≣⋋)⪘⫢(≦∁∃⊬5F3)↛⩡⫤","cot":[{"info":"⊄⩳↩∃⊬462=∃⊬-D26","layer":3},{"info":"∃⊬FB3⇼⇔∾∃⊬615=∃⊬-99E","layer":3},{"info":"∃⊬-D26%∃⊬-99E=∃⊬-388","layer":2},{"info":"∃⊬10B1≣⋋=∃⊬0","layer":3},{"info":"≦∁∃⊬5F3=∃⊬5F3","layer":3},{"info":"∃⊬0⪘⫢∃⊬5F3=∃⊬-484","layer":2},{"info":"∃⊬-388⨪↰⇹∃⊬-484=∃⊬-388","layer":1},{"info":"∃⊬-388↛⩡⫤=∃⊬C03","layer":0}]}
{"id":439,"expression_no_base_symbol":"⩦⩻⨪($4004$⊴$1242$⋥≓≎($6043$⩨$4845$))⩚⊴⇥($2441$⋥≓≎$1260$)≹⇙⪍($5355$⫥∨⫟$6452$)","expression":"⩦⩻⨪(∃⊬FA4⊴∃⊬4DA⋥≓≎(∃⊬179B⩨∃⊬12ED))⩚⊴⇥(∃⊬989⋥≓≎∃⊬4EC)≹⇙⪍(∃⊬14EB⫥∨⫟∃⊬1934)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1726,"operation_count":8,"complexity_ratio":215.75,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4004,"base":16},"right_expr":{"type":"numeric_atoms","value":1242,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6043,"base":16},"right_expr":{"type":"numeric_atoms","value":4845,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2441,"base":16},"right_expr":{"type":"numeric_atoms","value":1260,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5355,"base":16},"right_expr":{"type":"numeric_atoms","value":6452,"base":16}}}}},"used_operators":["2td37pGCOC","NTOWxs364D","Qy55tPpLXF","Nsiff2A1zJ","2DlMacCsIx","AHs5Up7iyr","KYD54nUTWz"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4004","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=1242, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6043","layer":4},{"info":"number node, value=4845","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=4845, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=2441","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=1260, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=112","layer":3},{"info":"number node, value=5355","layer":4},{"info":"number node, value=6452","layer":4},{"info":"compute binary expreesion, left_input=5355, right_input=6452, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=112, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+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":"⩦⩻⨪(∃⊬FA4⊴∃⊬4DA⋥≓≎(∃⊬179B⩨∃⊬12ED))⩚⊴⇥(∃⊬989⋥≓≎∃⊬4EC)≹⇙⪍(∃⊬14EB⫥∨⫟∃⊬1934)=NaN","reverse_text":"NaN=⩦⩻⨪(∃⊬FA4⊴∃⊬4DA⋥≓≎(∃⊬179B⩨∃⊬12ED))⩚⊴⇥(∃⊬989⋥≓≎∃⊬4EC)≹⇙⪍(∃⊬14EB⫥∨⫟∃⊬1934)","cot":[{"info":"∃⊬FA4⊴∃⊬4DA=NaN","layer":3},{"info":"∃⊬179B⩨∃⊬12ED=∃⊬0","layer":3},{"info":"NaN⋥≓≎∃⊬0=∃⊬43","layer":2},{"info":"∃⊬989⋥≓≎∃⊬4EC=∃⊬70","layer":3},{"info":"∃⊬14EB⫥∨⫟∃⊬1934=NaN","layer":3},{"info":"∃⊬70≹⇙⪍NaN=NaN","layer":2},{"info":"∃⊬43⩚⊴⇥NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":440,"expression_no_base_symbol":"((≦∁(↯⪼$2158$))↺($1340$⨁⊸⫻)⩚⊴⇥(-$2303$))⨽(⨞⊢($1950$⇷$1403$)⇷($2503$-$4108$))","expression":"((≦∁(↯⪼∃⊬86E))↺(∃⊬53C⨁⊸⫻)⩚⊴⇥(-∃⊬8FF))⨽(⨞⊢(∃⊬79E⇷∃⊬57B)⇷(∃⊬9C7-∃⊬100C))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":67517,"operation_count":11,"complexity_ratio":6137.909090909091,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2158,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1340,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2303,"base":16}}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1950,"base":16},"right_expr":{"type":"numeric_atoms","value":1403,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2503,"base":16},"right_expr":{"type":"numeric_atoms","value":4108,"base":16}}}}},"used_operators":["8HhzD0ZcuI","7j4O788W3g","9ICcGScMcE","8jW3W4yZS5","NTOWxs364D","glklzrTFfD","t8gj7n24qd","xUOZtlo3hN","mp7IySMOzn","rysDP5nf3Z"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2158","layer":4},{"info":"compute unary expreesion, input=2158, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-70","layer":2},{"info":"number node, value=1340","layer":4},{"info":"compute unary expreesion, input=1340, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1340","layer":3},{"info":"number node, value=2303","layer":4},{"info":"compute unary expreesion, input=2303, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2303","layer":3},{"info":"compute binary expreesion, left_input=1340, right_input=-2303, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=842","layer":2},{"info":"compute binary expreesion, left_input=-70, right_input=842, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=842","layer":1},{"info":"number node, value=1950","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=1950, right_input=1403, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2806","layer":3},{"info":"number node, value=2503","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=2503, right_input=4108, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1605","layer":3},{"info":"compute binary expreesion, left_input=2806, right_input=-1605, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=842, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((≦∁(↯⪼∃⊬86E))↺(∃⊬53C⨁⊸⫻)⩚⊴⇥(-∃⊬8FF))⨽(⨞⊢(∃⊬79E⇷∃⊬57B)⇷(∃⊬9C7-∃⊬100C))=NaN","reverse_text":"NaN=((≦∁(↯⪼∃⊬86E))↺(∃⊬53C⨁⊸⫻)⩚⊴⇥(-∃⊬8FF))⨽(⨞⊢(∃⊬79E⇷∃⊬57B)⇷(∃⊬9C7-∃⊬100C))","cot":[{"info":"↯⪼∃⊬86E=∃⊬-15","layer":3},{"info":"≦∁∃⊬-15=∃⊬-46","layer":2},{"info":"∃⊬53C⨁⊸⫻=∃⊬53C","layer":3},{"info":"-∃⊬8FF=∃⊬-8FF","layer":3},{"info":"∃⊬53C⩚⊴⇥∃⊬-8FF=∃⊬34A","layer":2},{"info":"∃⊬-46↺∃⊬34A=∃⊬34A","layer":1},{"info":"∃⊬79E⇷∃⊬57B=∃⊬AF6","layer":3},{"info":"∃⊬9C7-∃⊬100C=∃⊬-645","layer":3},{"info":"∃⊬AF6⇷∃⊬-645=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"∃⊬34A⨽NaN=NaN","layer":0}]}
{"id":441,"expression_no_base_symbol":"(⨞⊢($3906$⪘⫢$2305$⪨≂(⨑⩽⪐$1291$)))*((($4730$⩠)≦≮≮)⊭↱(⨈⫕$6947$)⨐⩸⫘(⪲⇎$7976$))","expression":"(⨞⊢(∃⊬F42⪘⫢∃⊬901⪨≂(⨑⩽⪐∃⊬50B)))*(((∃⊬127A⩠)≦≮≮)⊭↱(⨈⫕∃⊬1B23)⨐⩸⫘(⪲⇎∃⊬1F28))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":443,"operation_count":11,"complexity_ratio":40.27272727272727,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3906,"base":16},"right_expr":{"type":"numeric_atoms","value":2305,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1291,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":4730,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6947,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7976,"base":16}}}}},"used_operators":["9HNa5Wba9A","xUOZtlo3hN","sdazOOVcIp","oacrs7FA3X","AF7qkfDlqP","COABgblf1C","D4vGDi5EA2","sJAwomhLZr","fu6greOZ01","megm06wKyl","XPYlsWDdGa"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3906","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=3906, right_input=2305, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7688","layer":3},{"info":"number node, value=1291","layer":4},{"info":"compute unary expreesion, input=1291, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1018","layer":3},{"info":"compute binary expreesion, left_input=7688, right_input=-1018, 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=17514","layer":2},{"info":"compute unary expreesion, input=17514, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-17688","layer":1},{"info":"number node, value=4730","layer":4},{"info":"compute unary expreesion, input=4730, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=0","layer":2},{"info":"number node, value=6947","layer":4},{"info":"compute unary expreesion, input=6947, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=7976","layer":4},{"info":"compute unary expreesion, input=7976, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15952","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=15952, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17688, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢(∃⊬F42⪘⫢∃⊬901⪨≂(⨑⩽⪐∃⊬50B)))*(((∃⊬127A⩠)≦≮≮)⊭↱(⨈⫕∃⊬1B23)⨐⩸⫘(⪲⇎∃⊬1F28))=NaN","reverse_text":"NaN=(⨞⊢(∃⊬F42⪘⫢∃⊬901⪨≂(⨑⩽⪐∃⊬50B)))*(((∃⊬127A⩠)≦≮≮)⊭↱(⨈⫕∃⊬1B23)⨐⩸⫘(⪲⇎∃⊬1F28))","cot":[{"info":"∃⊬F42⪘⫢∃⊬901=∃⊬1E08","layer":3},{"info":"⨑⩽⪐∃⊬50B=∃⊬-3FA","layer":3},{"info":"∃⊬1E08⪨≂∃⊬-3FA=∃⊬446A","layer":2},{"info":"⨞⊢∃⊬446A=∃⊬-4518","layer":1},{"info":"∃⊬127A⩠=∃⊬0","layer":3},{"info":"∃⊬0≦≮≮=∃⊬0","layer":2},{"info":"⨈⫕∃⊬1B23=∃⊬-15","layer":3},{"info":"⪲⇎∃⊬1F28=∃⊬3E50","layer":3},{"info":"∃⊬-15⨐⩸⫘∃⊬3E50=NaN","layer":2},{"info":"∃⊬0⊭↱NaN=NaN","layer":1},{"info":"∃⊬-4518*NaN=NaN","layer":0}]}
{"id":442,"expression_no_base_symbol":"(($4621$%$1720$)⋳⪒($3947$⇼⇔∾$1742$)*(⇁⨣⪵$4591$)≧⫂∧$2294$⨟⋌⩍$1177$)⪢(($4282$⋝⋈⪟$1012$⨳⩥⨓$4779$⩚⊴⇥$1493$)∀⇚≩($1104$↬$1107$⨵⪆($3055$↛⩡⫤)))","expression":"((∃⊬120D%∃⊬6B8)⋳⪒(∃⊬F6B⇼⇔∾∃⊬6CE)*(⇁⨣⪵∃⊬11EF)≧⫂∧∃⊬8F6⨟⋌⩍∃⊬499)⪢((∃⊬10BA⋝⋈⪟∃⊬3F4⨳⩥⨓∃⊬12AB⩚⊴⇥∃⊬5D5)∀⇚≩(∃⊬450↬∃⊬453⨵⪆(∃⊬BEF↛⩡⫤)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":84051,"operation_count":15,"complexity_ratio":5603.4,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4621,"base":16},"right_expr":{"type":"numeric_atoms","value":1720,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3947,"base":16},"right_expr":{"type":"numeric_atoms","value":1742,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4591,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2294,"base":16},"right_expr":{"type":"numeric_atoms","value":1177,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4282,"base":16},"right_expr":{"type":"numeric_atoms","value":1012,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4779,"base":16},"right_expr":{"type":"numeric_atoms","value":1493,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1104,"base":16},"right_expr":{"type":"numeric_atoms","value":1107,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3055,"base":16}}}}},"used_operators":["dWAJyo7jo9","9HNa5Wba9A","12rbrZMWeM","k8jYdgA6NY","tifHPKVTfV","Ph9nP6C5qx","inkyxCbjAn","rGHVDoGpnC","LRNGc0VcxI","nCS4ZIUYfx","2DDjHMKMc0","NTOWxs364D","2DQ55sFlQl","B5M0gjZbta","FU0Cs4j7VP"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Tcnh7f0tEr","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","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=4621","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=1720, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1181","layer":3},{"info":"number node, value=3947","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=3947, right_input=1742, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2205","layer":3},{"info":"compute binary expreesion, left_input=1181, right_input=-2205, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4280","layer":2},{"info":"number node, value=4591","layer":4},{"info":"compute unary expreesion, input=4591, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2294","layer":4},{"info":"number node, value=1177","layer":4},{"info":"compute binary expreesion, left_input=2294, right_input=1177, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4280, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4282","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=4282, right_input=1012, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4282","layer":3},{"info":"number node, value=4779","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=4779, right_input=1493, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6393","layer":3},{"info":"compute binary expreesion, left_input=4282, right_input=-6393, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-10675","layer":2},{"info":"number node, value=1104","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=1104, right_input=1107, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3055","layer":4},{"info":"compute unary expreesion, input=3055, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-457394","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-457394, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=-10675, right_input=160, 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 = 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":"((∃⊬120D%∃⊬6B8)⋳⪒(∃⊬F6B⇼⇔∾∃⊬6CE)*(⇁⨣⪵∃⊬11EF)≧⫂∧∃⊬8F6⨟⋌⩍∃⊬499)⪢((∃⊬10BA⋝⋈⪟∃⊬3F4⨳⩥⨓∃⊬12AB⩚⊴⇥∃⊬5D5)∀⇚≩(∃⊬450↬∃⊬453⨵⪆(∃⊬BEF↛⩡⫤)))=NaN","reverse_text":"NaN=((∃⊬120D%∃⊬6B8)⋳⪒(∃⊬F6B⇼⇔∾∃⊬6CE)*(⇁⨣⪵∃⊬11EF)≧⫂∧∃⊬8F6⨟⋌⩍∃⊬499)⪢((∃⊬10BA⋝⋈⪟∃⊬3F4⨳⩥⨓∃⊬12AB⩚⊴⇥∃⊬5D5)∀⇚≩(∃⊬450↬∃⊬453⨵⪆(∃⊬BEF↛⩡⫤)))","cot":[{"info":"∃⊬120D%∃⊬6B8=∃⊬49D","layer":3},{"info":"∃⊬F6B⇼⇔∾∃⊬6CE=∃⊬-89D","layer":3},{"info":"∃⊬49D⋳⪒∃⊬-89D=∃⊬10B8","layer":2},{"info":"⇁⨣⪵∃⊬11EF=NaN","layer":3},{"info":"∃⊬8F6⨟⋌⩍∃⊬499=NaN","layer":3},{"info":"NaN≧⫂∧NaN=NaN","layer":2},{"info":"∃⊬10B8*NaN=NaN","layer":1},{"info":"∃⊬10BA⋝⋈⪟∃⊬3F4=∃⊬10BA","layer":3},{"info":"∃⊬12AB⩚⊴⇥∃⊬5D5=∃⊬-18F9","layer":3},{"info":"∃⊬10BA⨳⩥⨓∃⊬-18F9=∃⊬-29B3","layer":2},{"info":"∃⊬450↬∃⊬453=NaN","layer":3},{"info":"∃⊬BEF↛⩡⫤=∃⊬-6FAB2","layer":3},{"info":"NaN⨵⪆∃⊬-6FAB2=∃⊬A0","layer":2},{"info":"∃⊬-29B3∀⇚≩∃⊬A0=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":443,"expression_no_base_symbol":"(↣≠⋷(($5555$⪒$1010$)⨎($5886$⩨$1363$)))⨵⪆(↣≠⋷($2361$⩨$6347$))⨳⩥⨓(⊄⩳↩(⊥$1732$))","expression":"(↣≠⋷((∃⊬15B3⪒∃⊬3F2)⨎(∃⊬16FE⩨∃⊬553)))⨵⪆(↣≠⋷(∃⊬939⩨∃⊬18CB))⨳⩥⨓(⊄⩳↩(⊥∃⊬6C4))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":62,"operation_count":10,"complexity_ratio":6.2,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5555,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5886,"base":16},"right_expr":{"type":"numeric_atoms","value":1363,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2361,"base":16},"right_expr":{"type":"numeric_atoms","value":6347,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1732,"base":16}}}}},"used_operators":["2DQ55sFlQl","Asc51vEJeQ","rJVOvQCfKK","f6k1SAg4EE","2DlMacCsIx","nCS4ZIUYfx","8w2t5hMYqp","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5555","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=5555, right_input=1010, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6565","layer":3},{"info":"number node, value=5886","layer":4},{"info":"number node, value=1363","layer":4},{"info":"compute binary expreesion, left_input=5886, right_input=1363, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6565, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=2361","layer":4},{"info":"number node, value=6347","layer":4},{"info":"compute binary expreesion, left_input=2361, right_input=6347, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1732","layer":4},{"info":"compute unary expreesion, input=1732, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷((∃⊬15B3⪒∃⊬3F2)⨎(∃⊬16FE⩨∃⊬553)))⨵⪆(↣≠⋷(∃⊬939⩨∃⊬18CB))⨳⩥⨓(⊄⩳↩(⊥∃⊬6C4))=∃⊬A0","reverse_text":"∃⊬A0=(↣≠⋷((∃⊬15B3⪒∃⊬3F2)⨎(∃⊬16FE⩨∃⊬553)))⨵⪆(↣≠⋷(∃⊬939⩨∃⊬18CB))⨳⩥⨓(⊄⩳↩(⊥∃⊬6C4))","cot":[{"info":"∃⊬15B3⪒∃⊬3F2=∃⊬-19A5","layer":3},{"info":"∃⊬16FE⩨∃⊬553=∃⊬0","layer":3},{"info":"∃⊬-19A5⨎∃⊬0=∃⊬0","layer":2},{"info":"↣≠⋷∃⊬0=NaN","layer":1},{"info":"∃⊬939⩨∃⊬18CB=∃⊬-6","layer":3},{"info":"↣≠⋷∃⊬-6=NaN","layer":2},{"info":"⊥∃⊬6C4=NaN","layer":3},{"info":"⊄⩳↩NaN=NaN","layer":2},{"info":"NaN⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":444,"expression_no_base_symbol":"(⪲⇎($1051$⨽$4901$)≹⇙⪍($2049$%$3157$))≎⊠⪸(⨞⊢($3333$⊪))⇷($4699$⋓$5147$⫥∨⫟($4476$⨐⩸⫘$8586$))","expression":"(⪲⇎(∃⊬41B⨽∃⊬1325)≹⇙⪍(∃⊬801%∃⊬C55))≎⊠⪸(⨞⊢(∃⊬D05⊪))⇷(∃⊬125B⋓∃⊬141B⫥∨⫟(∃⊬117C⨐⩸⫘∃⊬218A))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3720,"operation_count":11,"complexity_ratio":338.1818181818182,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1051,"base":16},"right_expr":{"type":"numeric_atoms","value":4901,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2049,"base":16},"right_expr":{"type":"numeric_atoms","value":3157,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3333,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4699,"base":16},"right_expr":{"type":"numeric_atoms","value":5147,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4476,"base":16},"right_expr":{"type":"numeric_atoms","value":8586,"base":16}}}}},"used_operators":["bJkvcejdHO","XPYlsWDdGa","AHs5Up7iyr","8HhzD0ZcuI","k8jYdgA6NY","mp7IySMOzn","xUOZtlo3hN","zVYPLywUTj","KYD54nUTWz","T2fj7uvVaJ","fu6greOZ01"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"number node, value=4901","layer":4},{"info":"compute binary expreesion, left_input=1051, right_input=4901, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3327192","layer":3},{"info":"number node, value=2049","layer":4},{"info":"number node, value=3157","layer":4},{"info":"compute binary expreesion, left_input=2049, right_input=3157, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2049","layer":3},{"info":"compute binary expreesion, left_input=-3327192, right_input=2049, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=3333","layer":4},{"info":"compute unary expreesion, input=3333, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"number node, value=4699","layer":4},{"info":"number node, value=5147","layer":4},{"info":"compute binary expreesion, left_input=4699, right_input=5147, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4476","layer":4},{"info":"number node, value=8586","layer":4},{"info":"compute binary expreesion, left_input=4476, right_input=8586, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-174, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎(∃⊬41B⨽∃⊬1325)≹⇙⪍(∃⊬801%∃⊬C55))≎⊠⪸(⨞⊢(∃⊬D05⊪))⇷(∃⊬125B⋓∃⊬141B⫥∨⫟(∃⊬117C⨐⩸⫘∃⊬218A))=∃⊬43","reverse_text":"∃⊬43=(⪲⇎(∃⊬41B⨽∃⊬1325)≹⇙⪍(∃⊬801%∃⊬C55))≎⊠⪸(⨞⊢(∃⊬D05⊪))⇷(∃⊬125B⋓∃⊬141B⫥∨⫟(∃⊬117C⨐⩸⫘∃⊬218A))","cot":[{"info":"∃⊬41B⨽∃⊬1325=∃⊬-32C4D8","layer":3},{"info":"∃⊬801%∃⊬C55=∃⊬801","layer":3},{"info":"∃⊬-32C4D8≹⇙⪍∃⊬801=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"∃⊬D05⊪=∃⊬0","layer":3},{"info":"⨞⊢∃⊬0=∃⊬-AE","layer":2},{"info":"∃⊬125B⋓∃⊬141B=∃⊬0","layer":3},{"info":"∃⊬117C⨐⩸⫘∃⊬218A=NaN","layer":3},{"info":"∃⊬0⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬-AE⇷NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":0}]}
{"id":445,"expression_no_base_symbol":"≤/(($1804$⫡⨏$3422$)⨁⊸⫻)∼((⊄⩳↩$5656$)⩷∴($2430$⩨$1280$))","expression":"≤/((∃⊬70C⫡⨏∃⊬D5E)⨁⊸⫻)∼((⊄⩳↩∃⊬1618)⩷∴(∃⊬97E⩨∃⊬500))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":350,"operation_count":7,"complexity_ratio":50.0,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1804,"base":16},"right_expr":{"type":"numeric_atoms","value":3422,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5656,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2430,"base":16},"right_expr":{"type":"numeric_atoms","value":1280,"base":16}}}}},"used_operators":["eLAdDNolq6","DyGG3AbaNP","glklzrTFfD","QMFrweE19q","9FxExcQeMw","8w2t5hMYqp","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1804","layer":4},{"info":"number node, value=3422","layer":4},{"info":"compute binary expreesion, left_input=1804, right_input=3422, 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=16647","layer":3},{"info":"compute unary expreesion, input=16647, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=16647","layer":2},{"info":"number node, value=5656","layer":4},{"info":"compute unary expreesion, input=5656, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-16968","layer":3},{"info":"number node, value=2430","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=2430, right_input=1280, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-16968, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-33968","layer":2},{"info":"compute binary expreesion, left_input=16647, right_input=-33968, 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 = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≤/((∃⊬70C⫡⨏∃⊬D5E)⨁⊸⫻)∼((⊄⩳↩∃⊬1618)⩷∴(∃⊬97E⩨∃⊬500))=NaN","reverse_text":"NaN=≤/((∃⊬70C⫡⨏∃⊬D5E)⨁⊸⫻)∼((⊄⩳↩∃⊬1618)⩷∴(∃⊬97E⩨∃⊬500))","cot":[{"info":"∃⊬70C⫡⨏∃⊬D5E=∃⊬4107","layer":3},{"info":"∃⊬4107⨁⊸⫻=∃⊬4107","layer":2},{"info":"⊄⩳↩∃⊬1618=∃⊬-4248","layer":3},{"info":"∃⊬97E⩨∃⊬500=∃⊬0","layer":3},{"info":"∃⊬-4248⩷∴∃⊬0=∃⊬-84B0","layer":2},{"info":"∃⊬4107∼∃⊬-84B0=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":446,"expression_no_base_symbol":"↔(($1993$⨓$5047$⋥≓≎(≤/$3362$))⨪↰⇹(($1335$⩤)+$1143$⊴$2299$))","expression":"↔((∃⊬7C9⨓∃⊬13B7⋥≓≎(≤/∃⊬D22))⨪↰⇹((∃⊬537⩤)+∃⊬477⊴∃⊬8FB))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7437,"operation_count":8,"complexity_ratio":929.625,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1993,"base":16},"right_expr":{"type":"numeric_atoms","value":5047,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":3362,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1335,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1143,"base":16},"right_expr":{"type":"numeric_atoms","value":2299,"base":16}}}}},"used_operators":["ruOEQAzv1W","tmPS8pqC7x","Qy55tPpLXF","3ViojmjbAp","eLAdDNolq6","W4YGzv6Whe","Z2TMIBDE3Q","Nsiff2A1zJ"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬CE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1993","layer":4},{"info":"number node, value=5047","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=5047, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5050","layer":3},{"info":"number node, value=3362","layer":4},{"info":"compute unary expreesion, input=3362, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2878","layer":3},{"info":"compute binary expreesion, left_input=-5050, right_input=-2878, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1335","layer":4},{"info":"compute unary expreesion, input=1335, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1335","layer":3},{"info":"number node, value=1143","layer":4},{"info":"number node, value=2299","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=2299, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1335, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, 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=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=206","layer":0}],"base":16,"result_base":16,"text":"↔((∃⊬7C9⨓∃⊬13B7⋥≓≎(≤/∃⊬D22))⨪↰⇹((∃⊬537⩤)+∃⊬477⊴∃⊬8FB))=∃⊬CE","reverse_text":"∃⊬CE=↔((∃⊬7C9⨓∃⊬13B7⋥≓≎(≤/∃⊬D22))⨪↰⇹((∃⊬537⩤)+∃⊬477⊴∃⊬8FB))","cot":[{"info":"∃⊬7C9⨓∃⊬13B7=∃⊬-13BA","layer":3},{"info":"≤/∃⊬D22=∃⊬-B3E","layer":3},{"info":"∃⊬-13BA⋥≓≎∃⊬-B3E=∃⊬43","layer":2},{"info":"∃⊬537⩤=∃⊬-537","layer":3},{"info":"∃⊬477⊴∃⊬8FB=NaN","layer":3},{"info":"∃⊬-537+NaN=NaN","layer":2},{"info":"∃⊬43⨪↰⇹NaN=∃⊬43","layer":1},{"info":"↔∃⊬43=∃⊬CE","layer":0}]}
{"id":447,"expression_no_base_symbol":"(∂($5561$⨓$1808$))⨓($2614$⨸⪁$1198$)∼($2757$↪⪝)/($1220$⩨$4618$⊉≛↸$1356$⩚⊴⇥$5354$)⪮%⊝(($8376$⊭∹↮)⨐⩸⫘$3176$⪘⫢$6883$)","expression":"(∂(∃⊬15B9⨓∃⊬710))⨓(∃⊬A36⨸⪁∃⊬4AE)∼(∃⊬AC5↪⪝)/(∃⊬4C4⩨∃⊬120A⊉≛↸∃⊬54C⩚⊴⇥∃⊬14EA)⪮%⊝((∃⊬20B8⊭∹↮)⨐⩸⫘∃⊬C68⪘⫢∃⊬1AE3)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3135,"operation_count":14,"complexity_ratio":223.92857142857142,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5561,"base":16},"right_expr":{"type":"numeric_atoms","value":1808,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2614,"base":16},"right_expr":{"type":"numeric_atoms","value":1198,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2757,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1220,"base":16},"right_expr":{"type":"numeric_atoms","value":4618,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1356,"base":16},"right_expr":{"type":"numeric_atoms","value":5354,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":8376,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3176,"base":16},"right_expr":{"type":"numeric_atoms","value":6883,"base":16}}}}},"used_operators":["XhwjNDsVaA","3ViojmjbAp","Uaa54Peajs","DyGG3AbaNP","g55IO6H4Gj","l07mrZUIn9","IWmyXbctLI","DZ8iAZOCBD","2DlMacCsIx","NTOWxs364D","fu6greOZ01","xNBdhnnwKq","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5561","layer":4},{"info":"number node, value=1808","layer":4},{"info":"compute binary expreesion, left_input=5561, right_input=1808, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1811","layer":3},{"info":"compute unary expreesion, input=-1811, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=1547","layer":2},{"info":"number node, value=2614","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=2614, right_input=1198, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7624","layer":3},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=168678774","layer":3},{"info":"compute binary expreesion, left_input=7624, right_input=168678774, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1547, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1220","layer":4},{"info":"number node, value=4618","layer":4},{"info":"compute binary expreesion, left_input=1220, right_input=4618, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"number node, value=1356","layer":4},{"info":"number node, value=5354","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=5354, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6831","layer":3},{"info":"compute binary expreesion, left_input=-9, right_input=-6831, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-18","layer":2},{"info":"number node, value=8376","layer":4},{"info":"compute unary expreesion, input=8376, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=16752","layer":3},{"info":"number node, value=3176","layer":4},{"info":"number node, value=6883","layer":4},{"info":"compute binary expreesion, left_input=3176, right_input=6883, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6228","layer":3},{"info":"compute binary expreesion, left_input=16752, right_input=6228, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∂(∃⊬15B9⨓∃⊬710))⨓(∃⊬A36⨸⪁∃⊬4AE)∼(∃⊬AC5↪⪝)/(∃⊬4C4⩨∃⊬120A⊉≛↸∃⊬54C⩚⊴⇥∃⊬14EA)⪮%⊝((∃⊬20B8⊭∹↮)⨐⩸⫘∃⊬C68⪘⫢∃⊬1AE3)=NaN","reverse_text":"NaN=(∂(∃⊬15B9⨓∃⊬710))⨓(∃⊬A36⨸⪁∃⊬4AE)∼(∃⊬AC5↪⪝)/(∃⊬4C4⩨∃⊬120A⊉≛↸∃⊬54C⩚⊴⇥∃⊬14EA)⪮%⊝((∃⊬20B8⊭∹↮)⨐⩸⫘∃⊬C68⪘⫢∃⊬1AE3)","cot":[{"info":"∃⊬15B9⨓∃⊬710=∃⊬-713","layer":3},{"info":"∂∃⊬-713=∃⊬60B","layer":2},{"info":"∃⊬A36⨸⪁∃⊬4AE=∃⊬1DC8","layer":3},{"info":"∃⊬AC5↪⪝=∃⊬A0DD576","layer":3},{"info":"∃⊬1DC8∼∃⊬A0DD576=NaN","layer":2},{"info":"∃⊬60B⨓NaN=NaN","layer":1},{"info":"∃⊬4C4⩨∃⊬120A=∃⊬-9","layer":3},{"info":"∃⊬54C⩚⊴⇥∃⊬14EA=∃⊬-1AAF","layer":3},{"info":"∃⊬-9⊉≛↸∃⊬-1AAF=∃⊬-12","layer":2},{"info":"∃⊬20B8⊭∹↮=∃⊬4170","layer":3},{"info":"∃⊬C68⪘⫢∃⊬1AE3=∃⊬1854","layer":3},{"info":"∃⊬4170⨐⩸⫘∃⊬1854=NaN","layer":2},{"info":"∃⊬-12⪮%⊝NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":448,"expression_no_base_symbol":"(↽≂(≉$1235$))⪛($2959$⨎$1488$*$4197$⪮%⊝$4110$)∲⫓(($3309$⨟⋌⩍$2893$⋥≓≎($4656$∲⫓$4475$))⊦⊿)","expression":"(↽≂(≉∃⊬4D3))⪛(∃⊬B8F⨎∃⊬5D0*∃⊬1065⪮%⊝∃⊬100E)∲⫓((∃⊬CED⨟⋌⩍∃⊬B4D⋥≓≎(∃⊬1230∲⫓∃⊬117B))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1519,"operation_count":11,"complexity_ratio":138.0909090909091,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1235,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2959,"base":16},"right_expr":{"type":"numeric_atoms","value":1488,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4197,"base":16},"right_expr":{"type":"numeric_atoms","value":4110,"base":16}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3309,"base":16},"right_expr":{"type":"numeric_atoms","value":2893,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4656,"base":16},"right_expr":{"type":"numeric_atoms","value":4475,"base":16}}}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","u6S6b8DprG","e1ybzncUwg","9HNa5Wba9A","rJVOvQCfKK","IWmyXbctLI","14qkJME0vr","Qy55tPpLXF","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"∃⊬C5B514","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1235","layer":4},{"info":"compute unary expreesion, input=1235, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1766","layer":3},{"info":"compute unary expreesion, input=1766, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3532","layer":2},{"info":"number node, value=2959","layer":4},{"info":"number node, value=1488","layer":4},{"info":"compute binary expreesion, left_input=2959, right_input=1488, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1488","layer":3},{"info":"number node, value=4197","layer":4},{"info":"number node, value=4110","layer":4},{"info":"compute binary expreesion, left_input=4197, right_input=4110, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8710","layer":3},{"info":"compute binary expreesion, left_input=1488, right_input=8710, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12960480","layer":2},{"info":"compute binary expreesion, left_input=-3532, right_input=12960480, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=12956948","layer":1},{"info":"number node, value=3309","layer":4},{"info":"number node, value=2893","layer":4},{"info":"compute binary expreesion, left_input=3309, right_input=2893, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4656","layer":4},{"info":"number node, value=4475","layer":4},{"info":"compute binary expreesion, left_input=4656, right_input=4475, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-280","layer":1},{"info":"compute binary expreesion, left_input=12956948, right_input=-280, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=12956948","layer":0}],"base":16,"result_base":16,"text":"(↽≂(≉∃⊬4D3))⪛(∃⊬B8F⨎∃⊬5D0*∃⊬1065⪮%⊝∃⊬100E)∲⫓((∃⊬CED⨟⋌⩍∃⊬B4D⋥≓≎(∃⊬1230∲⫓∃⊬117B))⊦⊿)=∃⊬C5B514","reverse_text":"∃⊬C5B514=(↽≂(≉∃⊬4D3))⪛(∃⊬B8F⨎∃⊬5D0*∃⊬1065⪮%⊝∃⊬100E)∲⫓((∃⊬CED⨟⋌⩍∃⊬B4D⋥≓≎(∃⊬1230∲⫓∃⊬117B))⊦⊿)","cot":[{"info":"≉∃⊬4D3=∃⊬6E6","layer":3},{"info":"↽≂∃⊬6E6=∃⊬-DCC","layer":2},{"info":"∃⊬B8F⨎∃⊬5D0=∃⊬5D0","layer":3},{"info":"∃⊬1065⪮%⊝∃⊬100E=∃⊬2206","layer":3},{"info":"∃⊬5D0*∃⊬2206=∃⊬C5C2E0","layer":2},{"info":"∃⊬-DCC⪛∃⊬C5C2E0=∃⊬C5B514","layer":1},{"info":"∃⊬CED⨟⋌⩍∃⊬B4D=NaN","layer":3},{"info":"∃⊬1230∲⫓∃⊬117B=∃⊬0","layer":3},{"info":"NaN⋥≓≎∃⊬0=∃⊬43","layer":2},{"info":"∃⊬43⊦⊿=∃⊬-118","layer":1},{"info":"∃⊬C5B514∲⫓∃⊬-118=∃⊬C5B514","layer":0}]}
{"id":449,"expression_no_base_symbol":"($3803$∸)∼$1936$⪮%⊝$1314$⩷∴($1435$≹⇙⪍$7544$⨰($1653$-$2185$))⊘","expression":"(∃⊬EDB∸)∼∃⊬790⪮%⊝∃⊬522⩷∴(∃⊬59B≹⇙⪍∃⊬1D78⨰(∃⊬675-∃⊬889))⊘","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":226,"operation_count":8,"complexity_ratio":28.25,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3803,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1936,"base":16},"right_expr":{"type":"numeric_atoms","value":1314,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1435,"base":16},"right_expr":{"type":"numeric_atoms","value":7544,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1653,"base":16},"right_expr":{"type":"numeric_atoms","value":2185,"base":16}}}}},"used_operators":["gu96TGCTMs","9FxExcQeMw","DyGG3AbaNP","o20kRiQErp","IWmyXbctLI","eewbuw0ToL","AHs5Up7iyr","rysDP5nf3Z"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3803","layer":4},{"info":"compute unary expreesion, input=3803, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=1314, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4188","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=4188, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1435","layer":4},{"info":"number node, value=7544","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=7544, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1653","layer":4},{"info":"number node, value=2185","layer":4},{"info":"compute binary expreesion, left_input=1653, right_input=2185, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-532","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-532, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"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":"(∃⊬EDB∸)∼∃⊬790⪮%⊝∃⊬522⩷∴(∃⊬59B≹⇙⪍∃⊬1D78⨰(∃⊬675-∃⊬889))⊘=NaN","reverse_text":"NaN=(∃⊬EDB∸)∼∃⊬790⪮%⊝∃⊬522⩷∴(∃⊬59B≹⇙⪍∃⊬1D78⨰(∃⊬675-∃⊬889))⊘","cot":[{"info":"∃⊬EDB∸=∃⊬B1","layer":3},{"info":"∃⊬790⪮%⊝∃⊬522=∃⊬105C","layer":3},{"info":"∃⊬B1∼∃⊬105C=NaN","layer":2},{"info":"∃⊬59B≹⇙⪍∃⊬1D78=NaN","layer":3},{"info":"∃⊬675-∃⊬889=∃⊬-214","layer":3},{"info":"NaN⨰∃⊬-214=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"NaN⊘=NaN","layer":0}]}
{"id":450,"expression_no_base_symbol":"(($1011$+$6069$)⨽$2953$≭$2885$⫸⊐($2139$⫥∨⫟$3739$⫡⨏($1116$⪠⩆⊳)))⪮%⊝((∥⊫$1111$⨳⩥⨓$8555$)⪘⫢($6477$⩷∴$8290$⊉≛↸$6524$⋥≓≎$2641$))","expression":"((∃⊬3F3+∃⊬17B5)⨽∃⊬B89≭∃⊬B45⫸⊐(∃⊬85B⫥∨⫟∃⊬E9B⫡⨏(∃⊬45C⪠⩆⊳)))⪮%⊝((∥⊫∃⊬457⨳⩥⨓∃⊬216B)⪘⫢(∃⊬194D⩷∴∃⊬2062⊉≛↸∃⊬197C⋥≓≎∃⊬A51))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7307,"operation_count":14,"complexity_ratio":521.9285714285714,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1011,"base":16},"right_expr":{"type":"numeric_atoms","value":6069,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2953,"base":16},"right_expr":{"type":"numeric_atoms","value":2885,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2139,"base":16},"right_expr":{"type":"numeric_atoms","value":3739,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1116,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1111,"base":16},"right_expr":{"type":"numeric_atoms","value":8555,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6477,"base":16},"right_expr":{"type":"numeric_atoms","value":8290,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6524,"base":16},"right_expr":{"type":"numeric_atoms","value":2641,"base":16}}}}},"used_operators":["IWmyXbctLI","mqXw5SEYmG","8HhzD0ZcuI","W4YGzv6Whe","rxpJgHHUmx","QMFrweE19q","KYD54nUTWz","JLbD19bQDL","oacrs7FA3X","P8v4zCKN1o","nCS4ZIUYfx","DZ8iAZOCBD","9FxExcQeMw","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1011","layer":4},{"info":"number node, value=6069","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=6069, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7080","layer":3},{"info":"number node, value=2953","layer":4},{"info":"number node, value=2885","layer":4},{"info":"compute binary expreesion, left_input=2953, right_input=2885, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7080, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2139","layer":4},{"info":"number node, value=3739","layer":4},{"info":"compute binary expreesion, left_input=2139, right_input=3739, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=1111","layer":4},{"info":"number node, value=8555","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=8555, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=7444","layer":3},{"info":"compute unary expreesion, input=7444, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8312","layer":2},{"info":"number node, value=6477","layer":4},{"info":"number node, value=8290","layer":4},{"info":"compute binary expreesion, left_input=6477, right_input=8290, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3658","layer":3},{"info":"number node, value=6524","layer":4},{"info":"number node, value=2641","layer":4},{"info":"compute binary expreesion, left_input=6524, right_input=2641, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1209","layer":3},{"info":"compute binary expreesion, left_input=-3658, right_input=-1209, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1209","layer":2},{"info":"compute binary expreesion, left_input=8312, right_input=1209, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=16500","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=16500, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬3F3+∃⊬17B5)⨽∃⊬B89≭∃⊬B45⫸⊐(∃⊬85B⫥∨⫟∃⊬E9B⫡⨏(∃⊬45C⪠⩆⊳)))⪮%⊝((∥⊫∃⊬457⨳⩥⨓∃⊬216B)⪘⫢(∃⊬194D⩷∴∃⊬2062⊉≛↸∃⊬197C⋥≓≎∃⊬A51))=NaN","reverse_text":"NaN=((∃⊬3F3+∃⊬17B5)⨽∃⊬B89≭∃⊬B45⫸⊐(∃⊬85B⫥∨⫟∃⊬E9B⫡⨏(∃⊬45C⪠⩆⊳)))⪮%⊝((∥⊫∃⊬457⨳⩥⨓∃⊬216B)⪘⫢(∃⊬194D⩷∴∃⊬2062⊉≛↸∃⊬197C⋥≓≎∃⊬A51))","cot":[{"info":"∃⊬3F3+∃⊬17B5=∃⊬1BA8","layer":3},{"info":"∃⊬B89≭∃⊬B45=NaN","layer":3},{"info":"∃⊬1BA8⨽NaN=NaN","layer":2},{"info":"∃⊬85B⫥∨⫟∃⊬E9B=NaN","layer":3},{"info":"∃⊬45C⪠⩆⊳=∃⊬0","layer":3},{"info":"NaN⫡⨏∃⊬0=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"∃⊬457⨳⩥⨓∃⊬216B=∃⊬1D14","layer":3},{"info":"∥⊫∃⊬1D14=∃⊬2078","layer":2},{"info":"∃⊬194D⩷∴∃⊬2062=∃⊬-E4A","layer":3},{"info":"∃⊬197C⋥≓≎∃⊬A51=∃⊬-4B9","layer":3},{"info":"∃⊬-E4A⊉≛↸∃⊬-4B9=∃⊬4B9","layer":2},{"info":"∃⊬2078⪘⫢∃⊬4B9=∃⊬4074","layer":1},{"info":"NaN⪮%⊝∃⊬4074=NaN","layer":0}]}
{"id":451,"expression_no_base_symbol":"($1627$∼$2056$⨽$1861$∑⇟⊟$3762$)∼($2154$⪘⫢$1570$⇼⇔∾($1851$⫩⊇))⨵⪆(⪝⪂⫅$3033$)⪢($2747$⨪↰⇹$1022$)≭(($1519$∲⫓$2297$)⫥∨⫟($2087$+$6192$))","expression":"(∃⊬65B∼∃⊬808⨽∃⊬745∑⇟⊟∃⊬EB2)∼(∃⊬86A⪘⫢∃⊬622⇼⇔∾(∃⊬73B⫩⊇))⨵⪆(⪝⪂⫅∃⊬BD9)⪢(∃⊬ABB⨪↰⇹∃⊬3FE)≭((∃⊬5EF∲⫓∃⊬8F9)⫥∨⫟(∃⊬827+∃⊬1830))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":75702,"operation_count":15,"complexity_ratio":5046.8,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1627,"base":16},"right_expr":{"type":"numeric_atoms","value":2056,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1861,"base":16},"right_expr":{"type":"numeric_atoms","value":3762,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2154,"base":16},"right_expr":{"type":"numeric_atoms","value":1570,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1851,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3033,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2747,"base":16},"right_expr":{"type":"numeric_atoms","value":1022,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1519,"base":16},"right_expr":{"type":"numeric_atoms","value":2297,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2087,"base":16},"right_expr":{"type":"numeric_atoms","value":6192,"base":16}}}}},"used_operators":["2DQ55sFlQl","DyGG3AbaNP","8HhzD0ZcuI","U7g4x0WXJJ","tifHPKVTfV","oacrs7FA3X","BjRHVeLaeN","rxpJgHHUmx","dWAJyo7jo9","XTarYq4gQB","tmPS8pqC7x","KYD54nUTWz","i8ToyICDmI","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1627","layer":4},{"info":"number node, value=2056","layer":4},{"info":"compute binary expreesion, left_input=1627, right_input=2056, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=3762","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=3762, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=2154","layer":4},{"info":"number node, value=1570","layer":4},{"info":"compute binary expreesion, left_input=2154, right_input=1570, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4184","layer":3},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1809","layer":3},{"info":"compute binary expreesion, left_input=4184, right_input=-1809, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-5993","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-5993, 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=3033","layer":4},{"info":"compute unary expreesion, input=3033, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-445851","layer":3},{"info":"number node, value=2747","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=1022, 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=2747","layer":3},{"info":"compute binary expreesion, left_input=-445851, right_input=2747, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1519","layer":4},{"info":"number node, value=2297","layer":4},{"info":"compute binary expreesion, left_input=1519, right_input=2297, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2087","layer":4},{"info":"number node, value=6192","layer":4},{"info":"compute binary expreesion, left_input=2087, right_input=6192, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8279","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8279, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(∃⊬65B∼∃⊬808⨽∃⊬745∑⇟⊟∃⊬EB2)∼(∃⊬86A⪘⫢∃⊬622⇼⇔∾(∃⊬73B⫩⊇))⨵⪆(⪝⪂⫅∃⊬BD9)⪢(∃⊬ABB⨪↰⇹∃⊬3FE)≭((∃⊬5EF∲⫓∃⊬8F9)⫥∨⫟(∃⊬827+∃⊬1830))=∃⊬A0","reverse_text":"∃⊬A0=(∃⊬65B∼∃⊬808⨽∃⊬745∑⇟⊟∃⊬EB2)∼(∃⊬86A⪘⫢∃⊬622⇼⇔∾(∃⊬73B⫩⊇))⨵⪆(⪝⪂⫅∃⊬BD9)⪢(∃⊬ABB⨪↰⇹∃⊬3FE)≭((∃⊬5EF∲⫓∃⊬8F9)⫥∨⫟(∃⊬827+∃⊬1830))","cot":[{"info":"∃⊬65B∼∃⊬808=NaN","layer":3},{"info":"∃⊬745∑⇟⊟∃⊬EB2=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"∃⊬86A⪘⫢∃⊬622=∃⊬1058","layer":3},{"info":"∃⊬73B⫩⊇=∃⊬-711","layer":3},{"info":"∃⊬1058⇼⇔∾∃⊬-711=∃⊬-1769","layer":2},{"info":"NaN∼∃⊬-1769=NaN","layer":1},{"info":"⪝⪂⫅∃⊬BD9=∃⊬-6CD9B","layer":3},{"info":"∃⊬ABB⨪↰⇹∃⊬3FE=∃⊬ABB","layer":3},{"info":"∃⊬-6CD9B⪢∃⊬ABB=NaN","layer":2},{"info":"∃⊬5EF∲⫓∃⊬8F9=∃⊬0","layer":3},{"info":"∃⊬827+∃⊬1830=∃⊬2057","layer":3},{"info":"∃⊬0⫥∨⫟∃⊬2057=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":452,"expression_no_base_symbol":"((⪲⇎$1413$)⫥∨⫟(⫛⫱⨽$1364$))⋝⋈⪟($1570$∑⇟⊟$1012$↺(↩$1924$))⋓((⫓⪴($2312$⨐⩸⫘$3710$))⊪)","expression":"((⪲⇎∃⊬585)⫥∨⫟(⫛⫱⨽∃⊬554))⋝⋈⪟(∃⊬622∑⇟⊟∃⊬3F4↺(↩∃⊬784))⋓((⫓⪴(∃⊬908⨐⩸⫘∃⊬E7E))⊪)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1628,"operation_count":11,"complexity_ratio":148.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1413,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1364,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1570,"base":16},"right_expr":{"type":"numeric_atoms","value":1012,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1924,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2312,"base":16},"right_expr":{"type":"numeric_atoms","value":3710,"base":16}}}}},"used_operators":["T2fj7uvVaJ","2DDjHMKMc0","KYD54nUTWz","XPYlsWDdGa","DlLNRPXxWL","7j4O788W3g","U7g4x0WXJJ","jLgFTUHLKL","zVYPLywUTj","eLxqMNBOBk","fu6greOZ01"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","9HNa5Wba9A","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1413","layer":4},{"info":"compute unary expreesion, input=1413, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2826","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2826, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1570","layer":4},{"info":"number node, value=1012","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=1012, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-12612","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-12612, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-12612","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-12612, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2312","layer":4},{"info":"number node, value=3710","layer":4},{"info":"compute binary expreesion, left_input=2312, right_input=3710, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪲⇎∃⊬585)⫥∨⫟(⫛⫱⨽∃⊬554))⋝⋈⪟(∃⊬622∑⇟⊟∃⊬3F4↺(↩∃⊬784))⋓((⫓⪴(∃⊬908⨐⩸⫘∃⊬E7E))⊪)=NaN","reverse_text":"NaN=((⪲⇎∃⊬585)⫥∨⫟(⫛⫱⨽∃⊬554))⋝⋈⪟(∃⊬622∑⇟⊟∃⊬3F4↺(↩∃⊬784))⋓((⫓⪴(∃⊬908⨐⩸⫘∃⊬E7E))⊪)","cot":[{"info":"⪲⇎∃⊬585=∃⊬B0A","layer":3},{"info":"⫛⫱⨽∃⊬554=∃⊬0","layer":3},{"info":"∃⊬B0A⫥∨⫟∃⊬0=NaN","layer":2},{"info":"∃⊬622∑⇟⊟∃⊬3F4=NaN","layer":3},{"info":"↩∃⊬784=∃⊬-3144","layer":3},{"info":"NaN↺∃⊬-3144=∃⊬-3144","layer":2},{"info":"NaN⋝⋈⪟∃⊬-3144=NaN","layer":1},{"info":"∃⊬908⨐⩸⫘∃⊬E7E=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":453,"expression_no_base_symbol":"($1329$∼$2086$≦≮≮)≹⇙⪍((∥⊫$1122$)⪛($7489$⪘⫢$1255$))⪮%⊝((⫛⫱⨽($1807$≎⊠⪸$2616$))/($3822$⪛$6463$⫡⨏$1606$⋥≓≎$2223$))","expression":"(∃⊬531∼∃⊬826≦≮≮)≹⇙⪍((∥⊫∃⊬462)⪛(∃⊬1D41⪘⫢∃⊬4E7))⪮%⊝((⫛⫱⨽(∃⊬70F≎⊠⪸∃⊬A38))/(∃⊬EEE⪛∃⊬193F⫡⨏∃⊬646⋥≓≎∃⊬8AF))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1772,"operation_count":13,"complexity_ratio":136.30769230769232,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1329,"base":16},"right_expr":{"type":"numeric_atoms","value":2086,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7489,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1807,"base":16},"right_expr":{"type":"numeric_atoms","value":2616,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3822,"base":16},"right_expr":{"type":"numeric_atoms","value":6463,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1606,"base":16},"right_expr":{"type":"numeric_atoms","value":2223,"base":16}}}}},"used_operators":["IWmyXbctLI","AHs5Up7iyr","D4vGDi5EA2","DyGG3AbaNP","uFcxV4UQCh","P8v4zCKN1o","oacrs7FA3X","XhwjNDsVaA","DlLNRPXxWL","bJkvcejdHO","QMFrweE19q","Qy55tPpLXF"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1329","layer":4},{"info":"number node, value=2086","layer":4},{"info":"compute binary expreesion, left_input=1329, right_input=2086, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1990","layer":3},{"info":"number node, value=7489","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=7489, right_input=1255, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14854","layer":3},{"info":"compute binary expreesion, left_input=1990, right_input=14854, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1990","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1990, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1807","layer":4},{"info":"number node, value=2616","layer":4},{"info":"compute binary expreesion, left_input=1807, right_input=2616, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=467540","layer":3},{"info":"compute unary expreesion, input=467540, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=3822","layer":4},{"info":"number node, value=6463","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=6463, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3822","layer":3},{"info":"number node, value=1606","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=1606, right_input=2223, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2873","layer":3},{"info":"compute binary expreesion, left_input=3822, right_input=2873, 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=25639","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=25639, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"(∃⊬531∼∃⊬826≦≮≮)≹⇙⪍((∥⊫∃⊬462)⪛(∃⊬1D41⪘⫢∃⊬4E7))⪮%⊝((⫛⫱⨽(∃⊬70F≎⊠⪸∃⊬A38))/(∃⊬EEE⪛∃⊬193F⫡⨏∃⊬646⋥≓≎∃⊬8AF))=NaN","reverse_text":"NaN=(∃⊬531∼∃⊬826≦≮≮)≹⇙⪍((∥⊫∃⊬462)⪛(∃⊬1D41⪘⫢∃⊬4E7))⪮%⊝((⫛⫱⨽(∃⊬70F≎⊠⪸∃⊬A38))/(∃⊬EEE⪛∃⊬193F⫡⨏∃⊬646⋥≓≎∃⊬8AF))","cot":[{"info":"∃⊬531∼∃⊬826=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"∥⊫∃⊬462=∃⊬7C6","layer":3},{"info":"∃⊬1D41⪘⫢∃⊬4E7=∃⊬3A06","layer":3},{"info":"∃⊬7C6⪛∃⊬3A06=∃⊬7C6","layer":2},{"info":"NaN≹⇙⪍∃⊬7C6=NaN","layer":1},{"info":"∃⊬70F≎⊠⪸∃⊬A38=∃⊬72254","layer":3},{"info":"⫛⫱⨽∃⊬72254=∃⊬0","layer":2},{"info":"∃⊬EEE⪛∃⊬193F=∃⊬EEE","layer":3},{"info":"∃⊬646⋥≓≎∃⊬8AF=∃⊬B39","layer":3},{"info":"∃⊬EEE⫡⨏∃⊬B39=∃⊬6427","layer":2},{"info":"∃⊬0/∃⊬6427=∃⊬0","layer":1},{"info":"NaN⪮%⊝∃⊬0=NaN","layer":0}]}
{"id":454,"expression_no_base_symbol":"(⪲⇎(⪝⪂⫅($2486$⋓$3196$)))⇼⇔∾($5052$⪄$2633$⪒$7558$⨪↰⇹$1771$)⋝⋈⪟(($6543$⊘)⨵⪆$1524$⨟⋌⩍$6745$)","expression":"(⪲⇎(⪝⪂⫅(∃⊬9B6⋓∃⊬C7C)))⇼⇔∾(∃⊬13BC⪄∃⊬A49⪒∃⊬1D86⨪↰⇹∃⊬6EB)⋝⋈⪟((∃⊬198F⊘)⨵⪆∃⊬5F4⨟⋌⩍∃⊬1A59)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7701,"operation_count":11,"complexity_ratio":700.0909090909091,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2486,"base":16},"right_expr":{"type":"numeric_atoms","value":3196,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5052,"base":16},"right_expr":{"type":"numeric_atoms","value":2633,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":7558,"base":16},"right_expr":{"type":"numeric_atoms","value":1771,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6543,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1524,"base":16},"right_expr":{"type":"numeric_atoms","value":6745,"base":16}}}}},"used_operators":["tifHPKVTfV","XPYlsWDdGa","XTarYq4gQB","T2fj7uvVaJ","2DDjHMKMc0","f6k1SAg4EE","SUmda5xLS4","tmPS8pqC7x","2DQ55sFlQl","gu96TGCTMs","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","Tcnh7f0tEr"],"result":"∃⊬B6507","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2486","layer":4},{"info":"number node, value=3196","layer":4},{"info":"compute binary expreesion, left_input=2486, right_input=3196, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":1},{"info":"number node, value=5052","layer":4},{"info":"number node, value=2633","layer":4},{"info":"compute binary expreesion, left_input=5052, right_input=2633, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-754317","layer":3},{"info":"number node, value=7558","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=7558, right_input=1771, 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=7558","layer":3},{"info":"compute binary expreesion, left_input=-754317, right_input=7558, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=746759","layer":2},{"info":"number node, value=6543","layer":4},{"info":"compute unary expreesion, input=6543, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1524","layer":4},{"info":"number node, value=6745","layer":4},{"info":"compute binary expreesion, left_input=1524, right_input=6745, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=746759, right_input=160, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=746759","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=746759, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=746759","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎(⪝⪂⫅(∃⊬9B6⋓∃⊬C7C)))⇼⇔∾(∃⊬13BC⪄∃⊬A49⪒∃⊬1D86⨪↰⇹∃⊬6EB)⋝⋈⪟((∃⊬198F⊘)⨵⪆∃⊬5F4⨟⋌⩍∃⊬1A59)=∃⊬B6507","reverse_text":"∃⊬B6507=(⪲⇎(⪝⪂⫅(∃⊬9B6⋓∃⊬C7C)))⇼⇔∾(∃⊬13BC⪄∃⊬A49⪒∃⊬1D86⨪↰⇹∃⊬6EB)⋝⋈⪟((∃⊬198F⊘)⨵⪆∃⊬5F4⨟⋌⩍∃⊬1A59)","cot":[{"info":"∃⊬9B6⋓∃⊬C7C=∃⊬0","layer":3},{"info":"⪝⪂⫅∃⊬0=∃⊬0","layer":2},{"info":"⪲⇎∃⊬0=∃⊬0","layer":1},{"info":"∃⊬13BC⪄∃⊬A49=∃⊬-B828D","layer":3},{"info":"∃⊬1D86⨪↰⇹∃⊬6EB=∃⊬1D86","layer":3},{"info":"∃⊬-B828D⪒∃⊬1D86=∃⊬B6507","layer":2},{"info":"∃⊬198F⊘=∃⊬0","layer":3},{"info":"∃⊬5F4⨟⋌⩍∃⊬1A59=NaN","layer":3},{"info":"∃⊬0⨵⪆NaN=∃⊬A0","layer":2},{"info":"∃⊬B6507⋝⋈⪟∃⊬A0=∃⊬B6507","layer":1},{"info":"∃⊬0⇼⇔∾∃⊬B6507=∃⊬B6507","layer":0}]}
{"id":455,"expression_no_base_symbol":"(($4104$⪒$3290$)⪛(↽≂$1645$)⨪↰⇹((⨰⫟⨤$1072$)⋳⪒($1817$↙$3588$)))∼(↯⪼(+⊝⨔($1348$⨽$1397$)))","expression":"((∃⊬1008⪒∃⊬CDA)⪛(↽≂∃⊬66D)⨪↰⇹((⨰⫟⨤∃⊬430)⋳⪒(∃⊬719↙∃⊬E04)))∼(↯⪼(+⊝⨔(∃⊬544⨽∃⊬575)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9398,"operation_count":11,"complexity_ratio":854.3636363636364,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4104,"base":16},"right_expr":{"type":"numeric_atoms","value":3290,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1645,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1072,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1817,"base":16},"right_expr":{"type":"numeric_atoms","value":3588,"base":16}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1348,"base":16},"right_expr":{"type":"numeric_atoms","value":1397,"base":16}}}}},"used_operators":["DyGG3AbaNP","tmPS8pqC7x","uFcxV4UQCh","f6k1SAg4EE","u6S6b8DprG","12rbrZMWeM","Tw270M8GLb","yyfyN0ffXY","8jW3W4yZS5","DhbWaqg5eL","8HhzD0ZcuI"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4104","layer":4},{"info":"number node, value=3290","layer":4},{"info":"compute binary expreesion, left_input=4104, right_input=3290, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7394","layer":3},{"info":"number node, value=1645","layer":4},{"info":"compute unary expreesion, input=1645, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3290","layer":3},{"info":"compute binary expreesion, left_input=-7394, right_input=-3290, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-814","layer":2},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1817","layer":4},{"info":"number node, value=3588","layer":4},{"info":"compute binary expreesion, left_input=1817, right_input=3588, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10764","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10764, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-814, 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=-814","layer":1},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1397","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1397, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5454189","layer":3},{"info":"compute unary expreesion, input=-5454189, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = 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=-814, right_input=-21, 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":"((∃⊬1008⪒∃⊬CDA)⪛(↽≂∃⊬66D)⨪↰⇹((⨰⫟⨤∃⊬430)⋳⪒(∃⊬719↙∃⊬E04)))∼(↯⪼(+⊝⨔(∃⊬544⨽∃⊬575)))=∃⊬0","reverse_text":"∃⊬0=((∃⊬1008⪒∃⊬CDA)⪛(↽≂∃⊬66D)⨪↰⇹((⨰⫟⨤∃⊬430)⋳⪒(∃⊬719↙∃⊬E04)))∼(↯⪼(+⊝⨔(∃⊬544⨽∃⊬575)))","cot":[{"info":"∃⊬1008⪒∃⊬CDA=∃⊬-1CE2","layer":3},{"info":"↽≂∃⊬66D=∃⊬-CDA","layer":3},{"info":"∃⊬-1CE2⪛∃⊬-CDA=∃⊬-32E","layer":2},{"info":"⨰⫟⨤∃⊬430=NaN","layer":3},{"info":"∃⊬719↙∃⊬E04=∃⊬-2A0C","layer":3},{"info":"NaN⋳⪒∃⊬-2A0C=NaN","layer":2},{"info":"∃⊬-32E⨪↰⇹NaN=∃⊬-32E","layer":1},{"info":"∃⊬544⨽∃⊬575=∃⊬-53396D","layer":3},{"info":"+⊝⨔∃⊬-53396D=∃⊬5F2","layer":2},{"info":"↯⪼∃⊬5F2=∃⊬-15","layer":1},{"info":"∃⊬-32E∼∃⊬-15=∃⊬0","layer":0}]}
{"id":456,"expression_no_base_symbol":"⨞⊢(⇁⨣⪵($2129$⨸⪁$3549$)⪄$1640$⇷$1574$)","expression":"⨞⊢(⇁⨣⪵(∃⊬851⨸⪁∃⊬DDD)⪄∃⊬668⇷∃⊬626)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":23067,"operation_count":5,"complexity_ratio":4613.4,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2129,"base":16},"right_expr":{"type":"numeric_atoms","value":3549,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1640,"base":16},"right_expr":{"type":"numeric_atoms","value":1574,"base":16}}}}},"used_operators":["xUOZtlo3hN","inkyxCbjAn","SUmda5xLS4","g55IO6H4Gj","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2129","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=2129, right_input=3549, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11356","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=1574","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1574, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3148","layer":3},{"info":"compute binary expreesion, left_input=11356, right_input=3148, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1689369","layer":2},{"info":"compute unary expreesion, input=-1689369, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', 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":"⨞⊢(⇁⨣⪵(∃⊬851⨸⪁∃⊬DDD)⪄∃⊬668⇷∃⊬626)=NaN","reverse_text":"NaN=⨞⊢(⇁⨣⪵(∃⊬851⨸⪁∃⊬DDD)⪄∃⊬668⇷∃⊬626)","cot":[{"info":"∃⊬851⨸⪁∃⊬DDD=∃⊬2C5C","layer":3},{"info":"∃⊬668⇷∃⊬626=∃⊬C4C","layer":3},{"info":"∃⊬2C5C⪄∃⊬C4C=∃⊬-19C719","layer":2},{"info":"⇁⨣⪵∃⊬-19C719=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":457,"expression_no_base_symbol":"((↯⪼$2608$)⋝⋈⪟($2463$⊉≛↸$4872$)∲⫓$9575$⪘⫢$2797$⊭↱($1722$%$2434$))≭(($4851$+⇶⊼$8124$⫸⊐$1062$⊴$5886$)⨽((⨞⊢$1927$)⊭↱($1500$∲⫓$4274$)))","expression":"((↯⪼∃⊬A30)⋝⋈⪟(∃⊬99F⊉≛↸∃⊬1308)∲⫓∃⊬2567⪘⫢∃⊬AED⊭↱(∃⊬6BA%∃⊬982))≭((∃⊬12F3+⇶⊼∃⊬1FBC⫸⊐∃⊬426⊴∃⊬16FE)⨽((⨞⊢∃⊬787)⊭↱(∃⊬5DC∲⫓∃⊬10B2)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5977,"operation_count":15,"complexity_ratio":398.46666666666664,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2608,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2463,"base":16},"right_expr":{"type":"numeric_atoms","value":4872,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":9575,"base":16},"right_expr":{"type":"numeric_atoms","value":2797,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1722,"base":16},"right_expr":{"type":"numeric_atoms","value":2434,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4851,"base":16},"right_expr":{"type":"numeric_atoms","value":8124,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1062,"base":16},"right_expr":{"type":"numeric_atoms","value":5886,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1927,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1500,"base":16},"right_expr":{"type":"numeric_atoms","value":4274,"base":16}}}}},"used_operators":["rxpJgHHUmx","i8ToyICDmI","2DDjHMKMc0","8jW3W4yZS5","DZ8iAZOCBD","COABgblf1C","oacrs7FA3X","k8jYdgA6NY","8HhzD0ZcuI","mqXw5SEYmG","TpPTUOHfaN","Nsiff2A1zJ","xUOZtlo3hN"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2608","layer":4},{"info":"compute unary expreesion, input=2608, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2463","layer":4},{"info":"number node, value=4872","layer":4},{"info":"compute binary expreesion, left_input=2463, right_input=4872, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4926","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=4926, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":2},{"info":"number node, value=9575","layer":4},{"info":"number node, value=2797","layer":4},{"info":"compute binary expreesion, left_input=9575, right_input=2797, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=19026","layer":3},{"info":"number node, value=1722","layer":4},{"info":"number node, value=2434","layer":4},{"info":"compute binary expreesion, left_input=1722, right_input=2434, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1722","layer":3},{"info":"compute binary expreesion, left_input=19026, right_input=1722, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-34603","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-34603, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-21","layer":1},{"info":"number node, value=4851","layer":4},{"info":"number node, value=8124","layer":4},{"info":"compute binary expreesion, left_input=4851, right_input=8124, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1062","layer":4},{"info":"number node, value=5886","layer":4},{"info":"compute binary expreesion, left_input=1062, right_input=5886, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1927","layer":4},{"info":"compute unary expreesion, input=1927, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2101","layer":3},{"info":"number node, value=1500","layer":4},{"info":"number node, value=4274","layer":4},{"info":"compute binary expreesion, left_input=1500, right_input=4274, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2101, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4207","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4207, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"((↯⪼∃⊬A30)⋝⋈⪟(∃⊬99F⊉≛↸∃⊬1308)∲⫓∃⊬2567⪘⫢∃⊬AED⊭↱(∃⊬6BA%∃⊬982))≭((∃⊬12F3+⇶⊼∃⊬1FBC⫸⊐∃⊬426⊴∃⊬16FE)⨽((⨞⊢∃⊬787)⊭↱(∃⊬5DC∲⫓∃⊬10B2)))=NaN","reverse_text":"NaN=((↯⪼∃⊬A30)⋝⋈⪟(∃⊬99F⊉≛↸∃⊬1308)∲⫓∃⊬2567⪘⫢∃⊬AED⊭↱(∃⊬6BA%∃⊬982))≭((∃⊬12F3+⇶⊼∃⊬1FBC⫸⊐∃⊬426⊴∃⊬16FE)⨽((⨞⊢∃⊬787)⊭↱(∃⊬5DC∲⫓∃⊬10B2)))","cot":[{"info":"↯⪼∃⊬A30=∃⊬-15","layer":3},{"info":"∃⊬99F⊉≛↸∃⊬1308=∃⊬133E","layer":3},{"info":"∃⊬-15⋝⋈⪟∃⊬133E=∃⊬-15","layer":2},{"info":"∃⊬2567⪘⫢∃⊬AED=∃⊬4A52","layer":3},{"info":"∃⊬6BA%∃⊬982=∃⊬6BA","layer":3},{"info":"∃⊬4A52⊭↱∃⊬6BA=∃⊬-872B","layer":2},{"info":"∃⊬-15∲⫓∃⊬-872B=∃⊬-15","layer":1},{"info":"∃⊬12F3+⇶⊼∃⊬1FBC=NaN","layer":3},{"info":"∃⊬426⊴∃⊬16FE=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"⨞⊢∃⊬787=∃⊬-835","layer":3},{"info":"∃⊬5DC∲⫓∃⊬10B2=∃⊬0","layer":3},{"info":"∃⊬-835⊭↱∃⊬0=∃⊬106F","layer":2},{"info":"NaN⨽∃⊬106F=NaN","layer":1},{"info":"∃⊬-15≭NaN=NaN","layer":0}]}
{"id":458,"expression_no_base_symbol":"(↯⪼(($4782$+$3576$)⨸⪁$1263$⪛$1228$))⋷(⇁⨣⪵($2984$⇼⇔∾$4663$)≹⇙⪍($1612$⨪↰⇹$8177$))","expression":"(↯⪼((∃⊬12AE+∃⊬DF8)⨸⪁∃⊬4EF⪛∃⊬4CC))⋷(⇁⨣⪵(∃⊬BA8⇼⇔∾∃⊬1237)≹⇙⪍(∃⊬64C⨪↰⇹∃⊬1FF1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1657,"operation_count":9,"complexity_ratio":184.11111111111111,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4782,"base":16},"right_expr":{"type":"numeric_atoms","value":3576,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1263,"base":16},"right_expr":{"type":"numeric_atoms","value":1228,"base":16}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2984,"base":16},"right_expr":{"type":"numeric_atoms","value":4663,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1612,"base":16},"right_expr":{"type":"numeric_atoms","value":8177,"base":16}}}}},"used_operators":["23Mk6UjR3U","8jW3W4yZS5","g55IO6H4Gj","W4YGzv6Whe","uFcxV4UQCh","inkyxCbjAn","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK"],"result":"∃⊬2A","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4782","layer":4},{"info":"number node, value=3576","layer":4},{"info":"compute binary expreesion, left_input=4782, right_input=3576, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8358","layer":3},{"info":"number node, value=1263","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1263, right_input=1228, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=35","layer":3},{"info":"compute binary expreesion, left_input=8358, right_input=35, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16786","layer":2},{"info":"compute unary expreesion, input=16786, 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=2984","layer":4},{"info":"number node, value=4663","layer":4},{"info":"compute binary expreesion, left_input=2984, right_input=4663, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1679","layer":3},{"info":"number node, value=1612","layer":4},{"info":"number node, value=8177","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=8177, 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=1612","layer":3},{"info":"compute binary expreesion, left_input=1679, right_input=1612, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬12AE+∃⊬DF8)⨸⪁∃⊬4EF⪛∃⊬4CC))⋷(⇁⨣⪵(∃⊬BA8⇼⇔∾∃⊬1237)≹⇙⪍(∃⊬64C⨪↰⇹∃⊬1FF1))=∃⊬2A","reverse_text":"∃⊬2A=(↯⪼((∃⊬12AE+∃⊬DF8)⨸⪁∃⊬4EF⪛∃⊬4CC))⋷(⇁⨣⪵(∃⊬BA8⇼⇔∾∃⊬1237)≹⇙⪍(∃⊬64C⨪↰⇹∃⊬1FF1))","cot":[{"info":"∃⊬12AE+∃⊬DF8=∃⊬20A6","layer":3},{"info":"∃⊬4EF⪛∃⊬4CC=∃⊬23","layer":3},{"info":"∃⊬20A6⨸⪁∃⊬23=∃⊬4192","layer":2},{"info":"↯⪼∃⊬4192=∃⊬-15","layer":1},{"info":"∃⊬BA8⇼⇔∾∃⊬1237=∃⊬68F","layer":3},{"info":"∃⊬64C⨪↰⇹∃⊬1FF1=∃⊬64C","layer":3},{"info":"∃⊬68F≹⇙⪍∃⊬64C=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"∃⊬-15⋷NaN=∃⊬2A","layer":0}]}
{"id":459,"expression_no_base_symbol":"((⨈⫕$5011$)*$4009$⋥≓≎$4611$)⪘⫢($5485$≎⊠⪸$1621$⪒($1028$⊪))≦≮≮","expression":"((⨈⫕∃⊬1393)*∃⊬FA9⋥≓≎∃⊬1203)⪘⫢(∃⊬156D≎⊠⪸∃⊬655⪒(∃⊬404⊪))≦≮≮","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":729,"operation_count":8,"complexity_ratio":91.125,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5011,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4009,"base":16},"right_expr":{"type":"numeric_atoms","value":4611,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5485,"base":16},"right_expr":{"type":"numeric_atoms","value":1621,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1028,"base":16}}}}},"used_operators":["D4vGDi5EA2","oacrs7FA3X","9HNa5Wba9A","megm06wKyl","Qy55tPpLXF","f6k1SAg4EE","bJkvcejdHO","zVYPLywUTj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5011","layer":4},{"info":"compute unary expreesion, input=5011, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=4009","layer":4},{"info":"number node, value=4611","layer":4},{"info":"compute binary expreesion, left_input=4009, right_input=4611, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5246","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=5246, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-110166","layer":2},{"info":"number node, value=5485","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=5485, right_input=1621, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1420142","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1420142, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1420142","layer":2},{"info":"compute binary expreesion, left_input=-110166, right_input=-1420142, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=3","layer":0}],"base":16,"result_base":16,"text":"((⨈⫕∃⊬1393)*∃⊬FA9⋥≓≎∃⊬1203)⪘⫢(∃⊬156D≎⊠⪸∃⊬655⪒(∃⊬404⊪))≦≮≮=∃⊬3","reverse_text":"∃⊬3=((⨈⫕∃⊬1393)*∃⊬FA9⋥≓≎∃⊬1203)⪘⫢(∃⊬156D≎⊠⪸∃⊬655⪒(∃⊬404⊪))≦≮≮","cot":[{"info":"⨈⫕∃⊬1393=∃⊬-15","layer":3},{"info":"∃⊬FA9⋥≓≎∃⊬1203=∃⊬147E","layer":3},{"info":"∃⊬-15*∃⊬147E=∃⊬-1AE56","layer":2},{"info":"∃⊬156D≎⊠⪸∃⊬655=∃⊬15AB6E","layer":3},{"info":"∃⊬404⊪=∃⊬0","layer":3},{"info":"∃⊬15AB6E⪒∃⊬0=∃⊬-15AB6E","layer":2},{"info":"∃⊬-1AE56⪘⫢∃⊬-15AB6E=∃⊬-1","layer":1},{"info":"∃⊬-1≦≮≮=∃⊬3","layer":0}]}
{"id":460,"expression_no_base_symbol":"⨈⫕((∂$6147$)≎⊠⪸($3509$+⇶⊼$2844$))⨟⋌⩍($3880$⨳⩥⨓$3895$)⪢($2330$⫥∨⫟$1378$)","expression":"⨈⫕((∂∃⊬1803)≎⊠⪸(∃⊬DB5+⇶⊼∃⊬B1C))⨟⋌⩍(∃⊬F28⨳⩥⨓∃⊬F37)⪢(∃⊬91A⫥∨⫟∃⊬562)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":558,"operation_count":8,"complexity_ratio":69.75,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6147,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3509,"base":16},"right_expr":{"type":"numeric_atoms","value":2844,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3880,"base":16},"right_expr":{"type":"numeric_atoms","value":3895,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2330,"base":16},"right_expr":{"type":"numeric_atoms","value":1378,"base":16}}}}},"used_operators":["megm06wKyl","rGHVDoGpnC","bJkvcejdHO","Uaa54Peajs","TpPTUOHfaN","dWAJyo7jo9","nCS4ZIUYfx","KYD54nUTWz"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6147","layer":4},{"info":"compute unary expreesion, input=6147, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3509","layer":4},{"info":"number node, value=2844","layer":4},{"info":"compute binary expreesion, left_input=3509, right_input=2844, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=3880","layer":4},{"info":"number node, value=3895","layer":4},{"info":"compute binary expreesion, left_input=3880, right_input=3895, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=15","layer":3},{"info":"number node, value=2330","layer":4},{"info":"number node, value=1378","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=1378, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=15, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute 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":"⨈⫕((∂∃⊬1803)≎⊠⪸(∃⊬DB5+⇶⊼∃⊬B1C))⨟⋌⩍(∃⊬F28⨳⩥⨓∃⊬F37)⪢(∃⊬91A⫥∨⫟∃⊬562)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕((∂∃⊬1803)≎⊠⪸(∃⊬DB5+⇶⊼∃⊬B1C))⨟⋌⩍(∃⊬F28⨳⩥⨓∃⊬F37)⪢(∃⊬91A⫥∨⫟∃⊬562)","cot":[{"info":"∂∃⊬1803=NaN","layer":3},{"info":"∃⊬DB5+⇶⊼∃⊬B1C=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":2},{"info":"∃⊬F28⨳⩥⨓∃⊬F37=∃⊬F","layer":3},{"info":"∃⊬91A⫥∨⫟∃⊬562=NaN","layer":3},{"info":"∃⊬F⪢NaN=NaN","layer":2},{"info":"∃⊬43⨟⋌⩍NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":461,"expression_no_base_symbol":"($5829$⪛$1354$⨳⩥⨓$2548$⨓$4624$⇼⇔∾(∥⊫$5957$+⇶⊼$8206$))⊭∹↮","expression":"(∃⊬16C5⪛∃⊬54A⨳⩥⨓∃⊬9F4⨓∃⊬1210⇼⇔∾(∥⊫∃⊬1745+⇶⊼∃⊬200E))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4652,"operation_count":7,"complexity_ratio":664.5714285714286,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5829,"base":16},"right_expr":{"type":"numeric_atoms","value":1354,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2548,"base":16},"right_expr":{"type":"numeric_atoms","value":4624,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5957,"base":16},"right_expr":{"type":"numeric_atoms","value":8206,"base":16}}}}},"used_operators":["xNBdhnnwKq","tifHPKVTfV","nCS4ZIUYfx","uFcxV4UQCh","3ViojmjbAp","P8v4zCKN1o","TpPTUOHfaN"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5829","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=5829, right_input=1354, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=413","layer":3},{"info":"number node, value=2548","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=2548, right_input=4624, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4627","layer":3},{"info":"compute binary expreesion, left_input=413, right_input=-4627, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5040","layer":2},{"info":"number node, value=5957","layer":4},{"info":"number node, value=8206","layer":4},{"info":"compute binary expreesion, left_input=5957, right_input=8206, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-5040, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', 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":"(∃⊬16C5⪛∃⊬54A⨳⩥⨓∃⊬9F4⨓∃⊬1210⇼⇔∾(∥⊫∃⊬1745+⇶⊼∃⊬200E))⊭∹↮=NaN","reverse_text":"NaN=(∃⊬16C5⪛∃⊬54A⨳⩥⨓∃⊬9F4⨓∃⊬1210⇼⇔∾(∥⊫∃⊬1745+⇶⊼∃⊬200E))⊭∹↮","cot":[{"info":"∃⊬16C5⪛∃⊬54A=∃⊬19D","layer":3},{"info":"∃⊬9F4⨓∃⊬1210=∃⊬-1213","layer":3},{"info":"∃⊬19D⨳⩥⨓∃⊬-1213=∃⊬-13B0","layer":2},{"info":"∃⊬1745+⇶⊼∃⊬200E=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"∃⊬-13B0⇼⇔∾NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":462,"expression_no_base_symbol":"($3067$↬$2290$⨵⪆$1763$⊴$1458$)⪢(($1372$⋝⋈⪟$1147$)⪘⫢(⪝⪂⫅$4679$))⋫","expression":"(∃⊬BFB↬∃⊬8F2⨵⪆∃⊬6E3⊴∃⊬5B2)⪢((∃⊬55C⋝⋈⪟∃⊬47B)⪘⫢(⪝⪂⫅∃⊬1247))⋫","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5450,"operation_count":8,"complexity_ratio":681.25,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3067,"base":16},"right_expr":{"type":"numeric_atoms","value":2290,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":1458,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1372,"base":16},"right_expr":{"type":"numeric_atoms","value":1147,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":4679,"base":16}}}}},"used_operators":["JL8yIekQnl","dWAJyo7jo9","2DQ55sFlQl","B5M0gjZbta","Nsiff2A1zJ","oacrs7FA3X","2DDjHMKMc0","XTarYq4gQB"],"dependent_operators":["tmPS8pqC7x","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3067","layer":4},{"info":"number node, value=2290","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=2290, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=1458, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1372","layer":4},{"info":"number node, value=1147","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=1147, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1372","layer":3},{"info":"number node, value=4679","layer":4},{"info":"compute unary expreesion, input=4679, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-687813","layer":3},{"info":"compute binary expreesion, left_input=1372, right_input=-687813, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=-1, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬BFB↬∃⊬8F2⨵⪆∃⊬6E3⊴∃⊬5B2)⪢((∃⊬55C⋝⋈⪟∃⊬47B)⪘⫢(⪝⪂⫅∃⊬1247))⋫=∃⊬0","reverse_text":"∃⊬0=(∃⊬BFB↬∃⊬8F2⨵⪆∃⊬6E3⊴∃⊬5B2)⪢((∃⊬55C⋝⋈⪟∃⊬47B)⪘⫢(⪝⪂⫅∃⊬1247))⋫","cot":[{"info":"∃⊬BFB↬∃⊬8F2=NaN","layer":3},{"info":"∃⊬6E3⊴∃⊬5B2=NaN","layer":3},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":2},{"info":"∃⊬55C⋝⋈⪟∃⊬47B=∃⊬55C","layer":3},{"info":"⪝⪂⫅∃⊬1247=∃⊬-A7EC5","layer":3},{"info":"∃⊬55C⪘⫢∃⊬-A7EC5=∃⊬-1","layer":2},{"info":"∃⊬A0⪢∃⊬-1=∃⊬0","layer":1},{"info":"∃⊬0⋫=∃⊬0","layer":0}]}
{"id":463,"expression_no_base_symbol":"(⨈⫕($1457$⩠))⨪↰⇹((⊄⩳↩$1043$)∑⇟⊟($1507$⋥≓≎$2495$))⨎($1333$↺$3555$↺$1739$⫥∨⫟$4696$%(↔($1612$⨐⩸⫘$1384$)))","expression":"(⨈⫕(∃⊬5B1⩠))⨪↰⇹((⊄⩳↩∃⊬413)∑⇟⊟(∃⊬5E3⋥≓≎∃⊬9BF))⨎(∃⊬535↺∃⊬DE3↺∃⊬6CB⫥∨⫟∃⊬1258%(↔(∃⊬64C⨐⩸⫘∃⊬568)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":616,"operation_count":13,"complexity_ratio":47.38461538461539,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1457,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1043,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1507,"base":16},"right_expr":{"type":"numeric_atoms","value":2495,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1333,"base":16},"right_expr":{"type":"numeric_atoms","value":3555,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1739,"base":16},"right_expr":{"type":"numeric_atoms","value":4696,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1612,"base":16},"right_expr":{"type":"numeric_atoms","value":1384,"base":16}}}}},"used_operators":["rJVOvQCfKK","tmPS8pqC7x","megm06wKyl","sJAwomhLZr","U7g4x0WXJJ","8w2t5hMYqp","Qy55tPpLXF","k8jYdgA6NY","7j4O788W3g","KYD54nUTWz","ruOEQAzv1W","fu6greOZ01"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3129","layer":3},{"info":"number node, value=1507","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1507, right_input=2495, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3516","layer":3},{"info":"compute binary expreesion, left_input=-3129, right_input=3516, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=21","layer":1},{"info":"number node, value=1333","layer":4},{"info":"number node, value=3555","layer":4},{"info":"compute binary expreesion, left_input=1333, right_input=3555, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3555","layer":3},{"info":"number node, value=1739","layer":4},{"info":"number node, value=4696","layer":4},{"info":"compute binary expreesion, left_input=1739, right_input=4696, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3555, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"number node, value=1612","layer":4},{"info":"number node, value=1384","layer":4},{"info":"compute binary expreesion, left_input=1612, right_input=1384, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=21, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕(∃⊬5B1⩠))⨪↰⇹((⊄⩳↩∃⊬413)∑⇟⊟(∃⊬5E3⋥≓≎∃⊬9BF))⨎(∃⊬535↺∃⊬DE3↺∃⊬6CB⫥∨⫟∃⊬1258%(↔(∃⊬64C⨐⩸⫘∃⊬568)))=NaN","reverse_text":"NaN=(⨈⫕(∃⊬5B1⩠))⨪↰⇹((⊄⩳↩∃⊬413)∑⇟⊟(∃⊬5E3⋥≓≎∃⊬9BF))⨎(∃⊬535↺∃⊬DE3↺∃⊬6CB⫥∨⫟∃⊬1258%(↔(∃⊬64C⨐⩸⫘∃⊬568)))","cot":[{"info":"∃⊬5B1⩠=∃⊬0","layer":3},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":2},{"info":"⊄⩳↩∃⊬413=∃⊬-C39","layer":3},{"info":"∃⊬5E3⋥≓≎∃⊬9BF=∃⊬DBC","layer":3},{"info":"∃⊬-C39∑⇟⊟∃⊬DBC=NaN","layer":2},{"info":"∃⊬-15⨪↰⇹NaN=∃⊬15","layer":1},{"info":"∃⊬535↺∃⊬DE3=∃⊬DE3","layer":3},{"info":"∃⊬6CB⫥∨⫟∃⊬1258=NaN","layer":3},{"info":"∃⊬DE3↺NaN=NaN","layer":2},{"info":"∃⊬64C⨐⩸⫘∃⊬568=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"NaN%∃⊬-86=NaN","layer":1},{"info":"∃⊬15⨎NaN=NaN","layer":0}]}
{"id":464,"expression_no_base_symbol":"(($1639$∲⫓$1165$)⋓($3558$⩷∴$1579$))⊴(($1340$⨎$7295$)⇷($1721$≭$6877$))⫡⨏(∥⊫$4171$⪛$1079$)⋝⋈⪟(($5244$⫩⊇)⊘)","expression":"((∃⊬667∲⫓∃⊬48D)⋓(∃⊬DE6⩷∴∃⊬62B))⊴((∃⊬53C⨎∃⊬1C7F)⇷(∃⊬6B9≭∃⊬1ADD))⫡⨏(∥⊫∃⊬104B⪛∃⊬437)⋝⋈⪟((∃⊬147C⫩⊇)⊘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":102209,"operation_count":13,"complexity_ratio":7862.2307692307695,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1639,"base":16},"right_expr":{"type":"numeric_atoms","value":1165,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3558,"base":16},"right_expr":{"type":"numeric_atoms","value":1579,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1340,"base":16},"right_expr":{"type":"numeric_atoms","value":7295,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1721,"base":16},"right_expr":{"type":"numeric_atoms","value":6877,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4171,"base":16},"right_expr":{"type":"numeric_atoms","value":1079,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":5244,"base":16}}}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","T2fj7uvVaJ","i8ToyICDmI","9FxExcQeMw","mp7IySMOzn","rJVOvQCfKK","rxpJgHHUmx","2DDjHMKMc0","P8v4zCKN1o","uFcxV4UQCh","gu96TGCTMs","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1639","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=1165, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=3558","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=3558, right_input=1579, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3926","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3926, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=1340","layer":4},{"info":"number node, value=7295","layer":4},{"info":"compute binary expreesion, left_input=1340, right_input=7295, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7295","layer":3},{"info":"number node, value=1721","layer":4},{"info":"number node, value=6877","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=6877, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7295, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=4171","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1079, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=934","layer":3},{"info":"compute unary expreesion, input=934, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1802","layer":2},{"info":"number node, value=5244","layer":4},{"info":"compute unary expreesion, input=5244, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-5202","layer":3},{"info":"compute unary expreesion, input=-5202, 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":2},{"info":"compute binary expreesion, left_input=1802, right_input=-1, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1802","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1802, 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":"((∃⊬667∲⫓∃⊬48D)⋓(∃⊬DE6⩷∴∃⊬62B))⊴((∃⊬53C⨎∃⊬1C7F)⇷(∃⊬6B9≭∃⊬1ADD))⫡⨏(∥⊫∃⊬104B⪛∃⊬437)⋝⋈⪟((∃⊬147C⫩⊇)⊘)=NaN","reverse_text":"NaN=((∃⊬667∲⫓∃⊬48D)⋓(∃⊬DE6⩷∴∃⊬62B))⊴((∃⊬53C⨎∃⊬1C7F)⇷(∃⊬6B9≭∃⊬1ADD))⫡⨏(∥⊫∃⊬104B⪛∃⊬437)⋝⋈⪟((∃⊬147C⫩⊇)⊘)","cot":[{"info":"∃⊬667∲⫓∃⊬48D=∃⊬0","layer":3},{"info":"∃⊬DE6⩷∴∃⊬62B=∃⊬F56","layer":3},{"info":"∃⊬0⋓∃⊬F56=∃⊬0","layer":2},{"info":"∃⊬53C⨎∃⊬1C7F=∃⊬1C7F","layer":3},{"info":"∃⊬6B9≭∃⊬1ADD=NaN","layer":3},{"info":"∃⊬1C7F⇷NaN=NaN","layer":2},{"info":"∃⊬0⊴NaN=NaN","layer":1},{"info":"∃⊬104B⪛∃⊬437=∃⊬3A6","layer":3},{"info":"∥⊫∃⊬3A6=∃⊬70A","layer":2},{"info":"∃⊬147C⫩⊇=∃⊬-1452","layer":3},{"info":"∃⊬-1452⊘=∃⊬-1","layer":2},{"info":"∃⊬70A⋝⋈⪟∃⊬-1=∃⊬70A","layer":1},{"info":"NaN⫡⨏∃⊬70A=NaN","layer":0}]}
{"id":465,"expression_no_base_symbol":"(⊙↵-$7685$)≹⇙⪍($2243$⊭↱$6139$)⊴($2768$≎⊠⪸$3844$)⊴($3181$∑⇟⊟$2879$)⇼⇔∾(∥⊫($1758$⇷$1746$/($1606$⊘)))","expression":"(⊙↵-∃⊬1E05)≹⇙⪍(∃⊬8C3⊭↱∃⊬17FB)⊴(∃⊬AD0≎⊠⪸∃⊬F04)⊴(∃⊬C6D∑⇟⊟∃⊬B3F)⇼⇔∾(∥⊫(∃⊬6DE⇷∃⊬6D2/(∃⊬646⊘)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":32666,"operation_count":12,"complexity_ratio":2722.1666666666665,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7685,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2243,"base":16},"right_expr":{"type":"numeric_atoms","value":6139,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2768,"base":16},"right_expr":{"type":"numeric_atoms","value":3844,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3181,"base":16},"right_expr":{"type":"numeric_atoms","value":2879,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1758,"base":16},"right_expr":{"type":"numeric_atoms","value":1746,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1606,"base":16}}}}},"used_operators":["tifHPKVTfV","Nsiff2A1zJ","AHs5Up7iyr","oWn0xqSxBt","COABgblf1C","bJkvcejdHO","U7g4x0WXJJ","P8v4zCKN1o","XhwjNDsVaA","mp7IySMOzn","gu96TGCTMs"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7685","layer":4},{"info":"compute unary expreesion, input=7685, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2243","layer":4},{"info":"number node, value=6139","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=6139, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7797","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=7797, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2768","layer":4},{"info":"number node, value=3844","layer":4},{"info":"compute binary expreesion, left_input=2768, right_input=3844, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=716439","layer":3},{"info":"number node, value=3181","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=3181, right_input=2879, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=716439, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1758","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=1758, right_input=1746, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3492","layer":3},{"info":"number node, value=1606","layer":4},{"info":"compute unary expreesion, input=1606, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3492, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬1E05)≹⇙⪍(∃⊬8C3⊭↱∃⊬17FB)⊴(∃⊬AD0≎⊠⪸∃⊬F04)⊴(∃⊬C6D∑⇟⊟∃⊬B3F)⇼⇔∾(∥⊫(∃⊬6DE⇷∃⊬6D2/(∃⊬646⊘)))=NaN","reverse_text":"NaN=(⊙↵-∃⊬1E05)≹⇙⪍(∃⊬8C3⊭↱∃⊬17FB)⊴(∃⊬AD0≎⊠⪸∃⊬F04)⊴(∃⊬C6D∑⇟⊟∃⊬B3F)⇼⇔∾(∥⊫(∃⊬6DE⇷∃⊬6D2/(∃⊬646⊘)))","cot":[{"info":"⊙↵-∃⊬1E05=∃⊬-1","layer":3},{"info":"∃⊬8C3⊭↱∃⊬17FB=∃⊬1E75","layer":3},{"info":"∃⊬-1≹⇙⪍∃⊬1E75=NaN","layer":2},{"info":"∃⊬AD0≎⊠⪸∃⊬F04=∃⊬AEE97","layer":3},{"info":"∃⊬C6D∑⇟⊟∃⊬B3F=NaN","layer":3},{"info":"∃⊬AEE97⊴NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"∃⊬6DE⇷∃⊬6D2=∃⊬DA4","layer":3},{"info":"∃⊬646⊘=∃⊬0","layer":3},{"info":"∃⊬DA4/∃⊬0=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":466,"expression_no_base_symbol":"(≤/($2518$⋷$2204$)⪄($1386$⋷$1135$))⪛(∂($8301$↛⩡⫤)⊴(⊥$1029$))","expression":"(≤/(∃⊬9D6⋷∃⊬89C)⪄(∃⊬56A⋷∃⊬46F))⪛(∂(∃⊬206D↛⩡⫤)⊴(⊥∃⊬405))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":25152,"operation_count":9,"complexity_ratio":2794.6666666666665,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2518,"base":16},"right_expr":{"type":"numeric_atoms","value":2204,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1386,"base":16},"right_expr":{"type":"numeric_atoms","value":1135,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":8301,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1029,"base":16}}}}},"used_operators":["uFcxV4UQCh","eLAdDNolq6","SUmda5xLS4","23Mk6UjR3U","Uaa54Peajs","Nsiff2A1zJ","FU0Cs4j7VP","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","14qkJME0vr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2518","layer":4},{"info":"number node, value=2204","layer":4},{"info":"compute binary expreesion, left_input=2518, right_input=2204, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1890","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=1135, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=884","layer":3},{"info":"compute binary expreesion, left_input=1890, right_input=884, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-279345","layer":2},{"info":"compute unary expreesion, input=-279345, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=279829","layer":1},{"info":"number node, value=8301","layer":4},{"info":"compute unary expreesion, input=8301, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1249540","layer":3},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1249540, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=279829, 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":"(≤/(∃⊬9D6⋷∃⊬89C)⪄(∃⊬56A⋷∃⊬46F))⪛(∂(∃⊬206D↛⩡⫤)⊴(⊥∃⊬405))=NaN","reverse_text":"NaN=(≤/(∃⊬9D6⋷∃⊬89C)⪄(∃⊬56A⋷∃⊬46F))⪛(∂(∃⊬206D↛⩡⫤)⊴(⊥∃⊬405))","cot":[{"info":"∃⊬9D6⋷∃⊬89C=∃⊬762","layer":3},{"info":"∃⊬56A⋷∃⊬46F=∃⊬374","layer":3},{"info":"∃⊬762⪄∃⊬374=∃⊬-44331","layer":2},{"info":"≤/∃⊬-44331=∃⊬44515","layer":1},{"info":"∃⊬206D↛⩡⫤=∃⊬-131104","layer":3},{"info":"⊥∃⊬405=NaN","layer":3},{"info":"∃⊬-131104⊴NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"∃⊬44515⪛NaN=NaN","layer":0}]}
{"id":467,"expression_no_base_symbol":"(↥($3361$⫸⊐$2917$)≎⊠⪸$6881$⨟⋌⩍$4211$)⪮%⊝((($4229$+$5405$)⨎$3473$⋓$5409$)⨪↰⇹(($1245$⫡⨏$1018$)⨳⩥⨓($2605$∲⫓$5108$)))","expression":"(↥(∃⊬D21⫸⊐∃⊬B65)≎⊠⪸∃⊬1AE1⨟⋌⩍∃⊬1073)⪮%⊝(((∃⊬1085+∃⊬151D)⨎∃⊬D91⋓∃⊬1521)⨪↰⇹((∃⊬4DD⫡⨏∃⊬3FA)⨳⩥⨓(∃⊬A2D∲⫓∃⊬13F4)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":74,"operation_count":12,"complexity_ratio":6.166666666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3361,"base":16},"right_expr":{"type":"numeric_atoms","value":2917,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":6881,"base":16},"right_expr":{"type":"numeric_atoms","value":4211,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4229,"base":16},"right_expr":{"type":"numeric_atoms","value":5405,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3473,"base":16},"right_expr":{"type":"numeric_atoms","value":5409,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1245,"base":16},"right_expr":{"type":"numeric_atoms","value":1018,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2605,"base":16},"right_expr":{"type":"numeric_atoms","value":5108,"base":16}}}}},"used_operators":["IWmyXbctLI","A8NUZmVepG","bJkvcejdHO","mqXw5SEYmG","rGHVDoGpnC","tmPS8pqC7x","rJVOvQCfKK","W4YGzv6Whe","T2fj7uvVaJ","nCS4ZIUYfx","QMFrweE19q","i8ToyICDmI"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr","rJVOvQCfKK","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3361","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=3361, right_input=2917, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11543","layer":3},{"info":"number node, value=6881","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=6881, right_input=4211, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11543, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":1},{"info":"number node, value=4229","layer":4},{"info":"number node, value=5405","layer":4},{"info":"compute binary expreesion, left_input=4229, right_input=5405, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9634","layer":3},{"info":"number node, value=3473","layer":4},{"info":"number node, value=5409","layer":4},{"info":"compute binary expreesion, left_input=3473, right_input=5409, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9634, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=1245","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1018, 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=9044","layer":3},{"info":"number node, value=2605","layer":4},{"info":"number node, value=5108","layer":4},{"info":"compute binary expreesion, left_input=2605, right_input=5108, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=9044, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-9044","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-9044, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=16, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥(∃⊬D21⫸⊐∃⊬B65)≎⊠⪸∃⊬1AE1⨟⋌⩍∃⊬1073)⪮%⊝(((∃⊬1085+∃⊬151D)⨎∃⊬D91⋓∃⊬1521)⨪↰⇹((∃⊬4DD⫡⨏∃⊬3FA)⨳⩥⨓(∃⊬A2D∲⫓∃⊬13F4)))=NaN","reverse_text":"NaN=(↥(∃⊬D21⫸⊐∃⊬B65)≎⊠⪸∃⊬1AE1⨟⋌⩍∃⊬1073)⪮%⊝(((∃⊬1085+∃⊬151D)⨎∃⊬D91⋓∃⊬1521)⨪↰⇹((∃⊬4DD⫡⨏∃⊬3FA)⨳⩥⨓(∃⊬A2D∲⫓∃⊬13F4)))","cot":[{"info":"∃⊬D21⫸⊐∃⊬B65=∃⊬2D17","layer":3},{"info":"∃⊬1AE1⨟⋌⩍∃⊬1073=NaN","layer":3},{"info":"∃⊬2D17≎⊠⪸NaN=∃⊬43","layer":2},{"info":"↥∃⊬43=∃⊬10","layer":1},{"info":"∃⊬1085+∃⊬151D=∃⊬25A2","layer":3},{"info":"∃⊬D91⋓∃⊬1521=∃⊬0","layer":3},{"info":"∃⊬25A2⨎∃⊬0=∃⊬0","layer":2},{"info":"∃⊬4DD⫡⨏∃⊬3FA=∃⊬2354","layer":3},{"info":"∃⊬A2D∲⫓∃⊬13F4=∃⊬0","layer":3},{"info":"∃⊬2354⨳⩥⨓∃⊬0=∃⊬-2354","layer":2},{"info":"∃⊬0⨪↰⇹∃⊬-2354=∃⊬0","layer":1},{"info":"∃⊬10⪮%⊝∃⊬0=NaN","layer":0}]}
{"id":468,"expression_no_base_symbol":"(⊙↵-(↥(⇁⨣⪵$1925$)))⨵⪆($7159$⫸⊐$4914$)↺$1494$⪘⫢$1358$∲⫓(⫓⪴$2994$)↬$2964$↬$2958$","expression":"(⊙↵-(↥(⇁⨣⪵∃⊬785)))⨵⪆(∃⊬1BF7⫸⊐∃⊬1332)↺∃⊬5D6⪘⫢∃⊬54E∲⫓(⫓⪴∃⊬BB2)↬∃⊬B94↬∃⊬B8E","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3069,"operation_count":11,"complexity_ratio":279.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1925,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7159,"base":16},"right_expr":{"type":"numeric_atoms","value":4914,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1494,"base":16},"right_expr":{"type":"numeric_atoms","value":1358,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2994,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2964,"base":16},"right_expr":{"type":"numeric_atoms","value":2958,"base":16}}}}},"used_operators":["2DQ55sFlQl","oWn0xqSxBt","A8NUZmVepG","inkyxCbjAn","i8ToyICDmI","7j4O788W3g","mqXw5SEYmG","oacrs7FA3X","B5M0gjZbta","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","k8jYdgA6NY","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","9HNa5Wba9A"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1925","layer":4},{"info":"compute unary expreesion, input=1925, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"number node, value=7159","layer":4},{"info":"number node, value=4914","layer":4},{"info":"compute binary expreesion, left_input=7159, right_input=4914, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19531","layer":3},{"info":"number node, value=1494","layer":4},{"info":"number node, value=1358","layer":4},{"info":"compute binary expreesion, left_input=1494, right_input=1358, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2864","layer":3},{"info":"compute binary expreesion, left_input=19531, right_input=2864, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2864","layer":2},{"info":"number node, value=2994","layer":4},{"info":"compute unary expreesion, input=2994, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8964036","layer":3},{"info":"number node, value=2964","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=2964, right_input=2958, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8964036, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2864, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-(↥(⇁⨣⪵∃⊬785)))⨵⪆(∃⊬1BF7⫸⊐∃⊬1332)↺∃⊬5D6⪘⫢∃⊬54E∲⫓(⫓⪴∃⊬BB2)↬∃⊬B94↬∃⊬B8E=∃⊬A0","reverse_text":"∃⊬A0=(⊙↵-(↥(⇁⨣⪵∃⊬785)))⨵⪆(∃⊬1BF7⫸⊐∃⊬1332)↺∃⊬5D6⪘⫢∃⊬54E∲⫓(⫓⪴∃⊬BB2)↬∃⊬B94↬∃⊬B8E","cot":[{"info":"⇁⨣⪵∃⊬785=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"∃⊬1BF7⫸⊐∃⊬1332=∃⊬4C4B","layer":3},{"info":"∃⊬5D6⪘⫢∃⊬54E=∃⊬B30","layer":3},{"info":"∃⊬4C4B↺∃⊬B30=∃⊬B30","layer":2},{"info":"⫓⪴∃⊬BB2=∃⊬88C7C4","layer":3},{"info":"∃⊬B94↬∃⊬B8E=NaN","layer":3},{"info":"∃⊬88C7C4↬NaN=NaN","layer":2},{"info":"∃⊬B30∲⫓NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":469,"expression_no_base_symbol":"(($3650$≹⇙⪍$1004$⊭↱($3621$⊪))⩤)-(≦∁$5222$)⨽$1573$⪮%⊝$6457$-($1254$⨓$2118$⫩⊇)","expression":"((∃⊬E42≹⇙⪍∃⊬3EC⊭↱(∃⊬E25⊪))⩤)-(≦∁∃⊬1466)⨽∃⊬625⪮%⊝∃⊬1939-(∃⊬4E6⨓∃⊬846⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7410,"operation_count":11,"complexity_ratio":673.6363636363636,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3650,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3621,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5222,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1573,"base":16},"right_expr":{"type":"numeric_atoms","value":6457,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1254,"base":16},"right_expr":{"type":"numeric_atoms","value":2118,"base":16}}}}},"used_operators":["rysDP5nf3Z","Z2TMIBDE3Q","COABgblf1C","AHs5Up7iyr","zVYPLywUTj","8HhzD0ZcuI","9ICcGScMcE","IWmyXbctLI","BjRHVeLaeN","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3650","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3650, right_input=1004, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3621","layer":4},{"info":"compute unary expreesion, input=3621, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"number node, value=5222","layer":4},{"info":"compute unary expreesion, input=5222, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5222","layer":3},{"info":"number node, value=1573","layer":4},{"info":"number node, value=6457","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=6457, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3462","layer":3},{"info":"compute binary expreesion, left_input=5222, right_input=3462, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-81816924","layer":2},{"info":"number node, value=1254","layer":4},{"info":"number node, value=2118","layer":4},{"info":"compute binary expreesion, left_input=1254, right_input=2118, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2121","layer":3},{"info":"compute unary expreesion, input=-2121, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2163","layer":2},{"info":"compute binary expreesion, left_input=-81816924, right_input=2163, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-81819087","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-81819087, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬E42≹⇙⪍∃⊬3EC⊭↱(∃⊬E25⊪))⩤)-(≦∁∃⊬1466)⨽∃⊬625⪮%⊝∃⊬1939-(∃⊬4E6⨓∃⊬846⫩⊇)=NaN","reverse_text":"NaN=((∃⊬E42≹⇙⪍∃⊬3EC⊭↱(∃⊬E25⊪))⩤)-(≦∁∃⊬1466)⨽∃⊬625⪮%⊝∃⊬1939-(∃⊬4E6⨓∃⊬846⫩⊇)","cot":[{"info":"∃⊬E42≹⇙⪍∃⊬3EC=NaN","layer":3},{"info":"∃⊬E25⊪=∃⊬0","layer":3},{"info":"NaN⊭↱∃⊬0=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"≦∁∃⊬1466=∃⊬1466","layer":3},{"info":"∃⊬625⪮%⊝∃⊬1939=∃⊬D86","layer":3},{"info":"∃⊬1466⨽∃⊬D86=∃⊬-4E06D5C","layer":2},{"info":"∃⊬4E6⨓∃⊬846=∃⊬-849","layer":3},{"info":"∃⊬-849⫩⊇=∃⊬873","layer":2},{"info":"∃⊬-4E06D5C-∃⊬873=∃⊬-4E075CF","layer":1},{"info":"NaN-∃⊬-4E075CF=NaN","layer":0}]}
{"id":470,"expression_no_base_symbol":"(($2148$⋫)⇼⇔∾$1142$⨟⋌⩍$1212$)⪛((+⊝⨔$1440$)⩠)⇷(($2144$∑⇟⊟$6101$↺$3666$⋳⪒$1277$)⊪)","expression":"((∃⊬864⋫)⇼⇔∾∃⊬476⨟⋌⩍∃⊬4BC)⪛((+⊝⨔∃⊬5A0)⩠)⇷((∃⊬860∑⇟⊟∃⊬17D5↺∃⊬E52⋳⪒∃⊬4FD)⊪)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2263,"operation_count":11,"complexity_ratio":205.72727272727272,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2148,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1142,"base":16},"right_expr":{"type":"numeric_atoms","value":1212,"base":16}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1440,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":6101,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3666,"base":16},"right_expr":{"type":"numeric_atoms","value":1277,"base":16}}}}},"used_operators":["mp7IySMOzn","uFcxV4UQCh","tifHPKVTfV","JL8yIekQnl","rGHVDoGpnC","sJAwomhLZr","DhbWaqg5eL","zVYPLywUTj","7j4O788W3g","U7g4x0WXJJ","12rbrZMWeM"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","Tcnh7f0tEr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2148","layer":4},{"info":"compute unary expreesion, input=2148, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2148","layer":3},{"info":"number node, value=1142","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=1142, right_input=1212, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2148, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=2144","layer":4},{"info":"number node, value=6101","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=6101, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3666","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=3666, right_input=1277, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5768","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5768, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5768","layer":2},{"info":"compute unary expreesion, input=5768, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"((∃⊬864⋫)⇼⇔∾∃⊬476⨟⋌⩍∃⊬4BC)⪛((+⊝⨔∃⊬5A0)⩠)⇷((∃⊬860∑⇟⊟∃⊬17D5↺∃⊬E52⋳⪒∃⊬4FD)⊪)=∃⊬0","reverse_text":"∃⊬0=((∃⊬864⋫)⇼⇔∾∃⊬476⨟⋌⩍∃⊬4BC)⪛((+⊝⨔∃⊬5A0)⩠)⇷((∃⊬860∑⇟⊟∃⊬17D5↺∃⊬E52⋳⪒∃⊬4FD)⊪)","cot":[{"info":"∃⊬864⋫=∃⊬864","layer":3},{"info":"∃⊬476⨟⋌⩍∃⊬4BC=NaN","layer":3},{"info":"∃⊬864⇼⇔∾NaN=NaN","layer":2},{"info":"+⊝⨔∃⊬5A0=∃⊬5F2","layer":3},{"info":"∃⊬5F2⩠=∃⊬0","layer":2},{"info":"NaN⪛∃⊬0=NaN","layer":1},{"info":"∃⊬860∑⇟⊟∃⊬17D5=NaN","layer":3},{"info":"∃⊬E52⋳⪒∃⊬4FD=∃⊬1688","layer":3},{"info":"NaN↺∃⊬1688=∃⊬1688","layer":2},{"info":"∃⊬1688⊪=∃⊬0","layer":1},{"info":"NaN⇷∃⊬0=∃⊬0","layer":0}]}
{"id":471,"expression_no_base_symbol":"(⊥(⊥($2015$∀⇚≩$2699$)))⪢(($4189$⨟⋌⩍$1288$⨽$6218$⨎$1105$)⋓(($1075$≎⊠⪸$1331$)⋓($6118$⊦⊿)))","expression":"(⊥(⊥(∃⊬7DF∀⇚≩∃⊬A8B)))⪢((∃⊬105D⨟⋌⩍∃⊬508⨽∃⊬184A⨎∃⊬451)⋓((∃⊬433≎⊠⪸∃⊬533)⋓(∃⊬17E6⊦⊿)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14422,"operation_count":11,"complexity_ratio":1311.090909090909,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2015,"base":16},"right_expr":{"type":"numeric_atoms","value":2699,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4189,"base":16},"right_expr":{"type":"numeric_atoms","value":1288,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6218,"base":16},"right_expr":{"type":"numeric_atoms","value":1105,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1075,"base":16},"right_expr":{"type":"numeric_atoms","value":1331,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6118,"base":16}}}}},"used_operators":["dWAJyo7jo9","Q3PJZHRvZv","LRNGc0VcxI","T2fj7uvVaJ","8HhzD0ZcuI","rGHVDoGpnC","rJVOvQCfKK","bJkvcejdHO","14qkJME0vr"],"dependent_operators":["k8jYdgA6NY","fu6greOZ01","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2015","layer":4},{"info":"number node, value=2699","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=2699, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=4189","layer":4},{"info":"number node, value=1288","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=1288, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6218","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=6218, right_input=1105, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1105","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1105, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"number node, value=1075","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=1331, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=277952","layer":3},{"info":"number node, value=6118","layer":4},{"info":"compute unary expreesion, input=6118, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-18433","layer":3},{"info":"compute binary expreesion, left_input=277952, right_input=-18433, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":0}],"base":16,"result_base":16,"text":"(⊥(⊥(∃⊬7DF∀⇚≩∃⊬A8B)))⪢((∃⊬105D⨟⋌⩍∃⊬508⨽∃⊬184A⨎∃⊬451)⋓((∃⊬433≎⊠⪸∃⊬533)⋓(∃⊬17E6⊦⊿)))=∃⊬0","reverse_text":"∃⊬0=(⊥(⊥(∃⊬7DF∀⇚≩∃⊬A8B)))⪢((∃⊬105D⨟⋌⩍∃⊬508⨽∃⊬184A⨎∃⊬451)⋓((∃⊬433≎⊠⪸∃⊬533)⋓(∃⊬17E6⊦⊿)))","cot":[{"info":"∃⊬7DF∀⇚≩∃⊬A8B=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"∃⊬105D⨟⋌⩍∃⊬508=NaN","layer":3},{"info":"∃⊬184A⨎∃⊬451=∃⊬451","layer":3},{"info":"NaN⨽∃⊬451=NaN","layer":2},{"info":"∃⊬433≎⊠⪸∃⊬533=∃⊬43DC0","layer":3},{"info":"∃⊬17E6⊦⊿=∃⊬-4801","layer":3},{"info":"∃⊬43DC0⋓∃⊬-4801=∃⊬0","layer":2},{"info":"NaN⋓∃⊬0=∃⊬0","layer":1},{"info":"NaN⪢∃⊬0=∃⊬0","layer":0}]}
{"id":472,"expression_no_base_symbol":"(⇁⨣⪵(≦∁$4959$)⩚⊴⇥(⩦⩻⨪$2858$))%((⨰⫟⨤$1918$)⩚⊴⇥$5682$⪢$4216$)⇷($4565$%$1390$⪨≂$4189$⋝⋈⪟$8068$)","expression":"(⇁⨣⪵(≦∁∃⊬135F)⩚⊴⇥(⩦⩻⨪∃⊬B2A))%((⨰⫟⨤∃⊬77E)⩚⊴⇥∃⊬1632⪢∃⊬1078)⇷(∃⊬11D5%∃⊬56E⪨≂∃⊬105D⋝⋈⪟∃⊬1F84)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12106,"operation_count":12,"complexity_ratio":1008.8333333333334,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4959,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2858,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1918,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5682,"base":16},"right_expr":{"type":"numeric_atoms","value":4216,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4565,"base":16},"right_expr":{"type":"numeric_atoms","value":1390,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4189,"base":16},"right_expr":{"type":"numeric_atoms","value":8068,"base":16}}}}},"used_operators":["k8jYdgA6NY","inkyxCbjAn","NTOWxs364D","9ICcGScMcE","2td37pGCOC","mp7IySMOzn","Tw270M8GLb","dWAJyo7jo9","sdazOOVcIp","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4959","layer":4},{"info":"compute unary expreesion, input=4959, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4959","layer":3},{"info":"number node, value=2858","layer":4},{"info":"compute unary expreesion, input=2858, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2858","layer":3},{"info":"compute binary expreesion, left_input=4959, right_input=2858, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7938","layer":2},{"info":"compute unary expreesion, input=-7938, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5682","layer":4},{"info":"number node, value=4216","layer":4},{"info":"compute binary expreesion, left_input=5682, right_input=4216, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4565","layer":4},{"info":"number node, value=1390","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=1390, op_id = k8jYdgA6NY binary_op_definition= 'None', output=395","layer":3},{"info":"number node, value=4189","layer":4},{"info":"number node, value=8068","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=8068, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4189","layer":3},{"info":"compute binary expreesion, left_input=395, right_input=4189, 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=-7486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7486, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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":"(⇁⨣⪵(≦∁∃⊬135F)⩚⊴⇥(⩦⩻⨪∃⊬B2A))%((⨰⫟⨤∃⊬77E)⩚⊴⇥∃⊬1632⪢∃⊬1078)⇷(∃⊬11D5%∃⊬56E⪨≂∃⊬105D⋝⋈⪟∃⊬1F84)=NaN","reverse_text":"NaN=(⇁⨣⪵(≦∁∃⊬135F)⩚⊴⇥(⩦⩻⨪∃⊬B2A))%((⨰⫟⨤∃⊬77E)⩚⊴⇥∃⊬1632⪢∃⊬1078)⇷(∃⊬11D5%∃⊬56E⪨≂∃⊬105D⋝⋈⪟∃⊬1F84)","cot":[{"info":"≦∁∃⊬135F=∃⊬135F","layer":3},{"info":"⩦⩻⨪∃⊬B2A=∃⊬B2A","layer":3},{"info":"∃⊬135F⩚⊴⇥∃⊬B2A=∃⊬-1F02","layer":2},{"info":"⇁⨣⪵∃⊬-1F02=NaN","layer":1},{"info":"⨰⫟⨤∃⊬77E=NaN","layer":3},{"info":"∃⊬1632⪢∃⊬1078=NaN","layer":3},{"info":"NaN⩚⊴⇥NaN=NaN","layer":2},{"info":"∃⊬11D5%∃⊬56E=∃⊬18B","layer":3},{"info":"∃⊬105D⋝⋈⪟∃⊬1F84=∃⊬105D","layer":3},{"info":"∃⊬18B⪨≂∃⊬105D=∃⊬-1D3E","layer":2},{"info":"NaN⇷∃⊬-1D3E=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":473,"expression_no_base_symbol":"(⫓⪴(≦∁$1625$⨰$6827$))⩠","expression":"(⫓⪴(≦∁∃⊬659⨰∃⊬1AAB))⩠","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":134,"operation_count":4,"complexity_ratio":33.5,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1625,"base":16},"right_expr":{"type":"numeric_atoms","value":6827,"base":16}}}}},"used_operators":["sJAwomhLZr","eLxqMNBOBk","9ICcGScMcE","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1625","layer":4},{"info":"number node, value=6827","layer":4},{"info":"compute binary expreesion, left_input=1625, right_input=6827, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-5192","layer":3},{"info":"compute unary expreesion, input=-5192, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=4489","layer":1},{"info":"compute unary expreesion, input=4489, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴(≦∁∃⊬659⨰∃⊬1AAB))⩠=∃⊬0","reverse_text":"∃⊬0=(⫓⪴(≦∁∃⊬659⨰∃⊬1AAB))⩠","cot":[{"info":"∃⊬659⨰∃⊬1AAB=∃⊬-1448","layer":3},{"info":"≦∁∃⊬-1448=∃⊬43","layer":2},{"info":"⫓⪴∃⊬43=∃⊬1189","layer":1},{"info":"∃⊬1189⩠=∃⊬0","layer":0}]}
{"id":474,"expression_no_base_symbol":"↩(⪲⇎(↯⪼($7042$⨰$4157$)))","expression":"↩(⪲⇎(↯⪼(∃⊬1B82⨰∃⊬103D)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":58,"operation_count":4,"complexity_ratio":14.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":7042,"base":16},"right_expr":{"type":"numeric_atoms","value":4157,"base":16}}}}},"used_operators":["jLgFTUHLKL","XPYlsWDdGa","8jW3W4yZS5","eewbuw0ToL"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬14E4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7042","layer":4},{"info":"number node, value=4157","layer":4},{"info":"compute binary expreesion, left_input=7042, right_input=4157, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2895","layer":3},{"info":"compute unary expreesion, input=2895, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"compute unary expreesion, input=-42, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5348","layer":0}],"base":16,"result_base":16,"text":"↩(⪲⇎(↯⪼(∃⊬1B82⨰∃⊬103D)))=∃⊬14E4","reverse_text":"∃⊬14E4=↩(⪲⇎(↯⪼(∃⊬1B82⨰∃⊬103D)))","cot":[{"info":"∃⊬1B82⨰∃⊬103D=∃⊬B4F","layer":3},{"info":"↯⪼∃⊬B4F=∃⊬-15","layer":2},{"info":"⪲⇎∃⊬-15=∃⊬-2A","layer":1},{"info":"↩∃⊬-2A=∃⊬14E4","layer":0}]}
{"id":475,"expression_no_base_symbol":"($7623$∸)⪢($4352$⪒$1777$)∑⇟⊟(($3822$⨽$2527$)⇋≉)/($2493$⪛$3488$⋝⋈⪟($1681$⊉≛↸$1941$))⨟⋌⩍(($2194$-$5682$)≣⋋)","expression":"(∃⊬1DC7∸)⪢(∃⊬1100⪒∃⊬6F1)∑⇟⊟((∃⊬EEE⨽∃⊬9DF)⇋≉)/(∃⊬9BD⪛∃⊬DA0⋝⋈⪟(∃⊬691⊉≛↸∃⊬795))⨟⋌⩍((∃⊬892-∃⊬1632)≣⋋)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10670,"operation_count":13,"complexity_ratio":820.7692307692307,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7623,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4352,"base":16},"right_expr":{"type":"numeric_atoms","value":1777,"base":16}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3822,"base":16},"right_expr":{"type":"numeric_atoms","value":2527,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2493,"base":16},"right_expr":{"type":"numeric_atoms","value":3488,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1681,"base":16},"right_expr":{"type":"numeric_atoms","value":1941,"base":16}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2194,"base":16},"right_expr":{"type":"numeric_atoms","value":5682,"base":16}}}}},"used_operators":["XhwjNDsVaA","U7g4x0WXJJ","dWAJyo7jo9","o20kRiQErp","f6k1SAg4EE","XIabStNQrY","8HhzD0ZcuI","rGHVDoGpnC","2DDjHMKMc0","uFcxV4UQCh","DZ8iAZOCBD","Tcnh7f0tEr","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7623","layer":4},{"info":"compute unary expreesion, input=7623, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=4352","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=4352, right_input=1777, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6129","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-6129, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3822","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=3822, right_input=2527, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-43829319","layer":3},{"info":"compute unary expreesion, input=-43829319, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-87658736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-87658736, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=2493","layer":4},{"info":"number node, value=3488","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=3488, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2493","layer":3},{"info":"number node, value=1681","layer":4},{"info":"number node, value=1941","layer":4},{"info":"compute binary expreesion, left_input=1681, right_input=1941, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3362","layer":3},{"info":"compute binary expreesion, left_input=2493, right_input=3362, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2493","layer":2},{"info":"number node, value=2194","layer":4},{"info":"number node, value=5682","layer":4},{"info":"compute binary expreesion, left_input=2194, right_input=5682, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3488","layer":3},{"info":"compute unary expreesion, input=-3488, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2493, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=2493","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2493, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1DC7∸)⪢(∃⊬1100⪒∃⊬6F1)∑⇟⊟((∃⊬EEE⨽∃⊬9DF)⇋≉)/(∃⊬9BD⪛∃⊬DA0⋝⋈⪟(∃⊬691⊉≛↸∃⊬795))⨟⋌⩍((∃⊬892-∃⊬1632)≣⋋)=NaN","reverse_text":"NaN=(∃⊬1DC7∸)⪢(∃⊬1100⪒∃⊬6F1)∑⇟⊟((∃⊬EEE⨽∃⊬9DF)⇋≉)/(∃⊬9BD⪛∃⊬DA0⋝⋈⪟(∃⊬691⊉≛↸∃⊬795))⨟⋌⩍((∃⊬892-∃⊬1632)≣⋋)","cot":[{"info":"∃⊬1DC7∸=∃⊬B1","layer":3},{"info":"∃⊬1100⪒∃⊬6F1=∃⊬-17F1","layer":3},{"info":"∃⊬B1⪢∃⊬-17F1=NaN","layer":2},{"info":"∃⊬EEE⨽∃⊬9DF=∃⊬-29CC847","layer":3},{"info":"∃⊬-29CC847⇋≉=∃⊬-53990F0","layer":2},{"info":"NaN∑⇟⊟∃⊬-53990F0=NaN","layer":1},{"info":"∃⊬9BD⪛∃⊬DA0=∃⊬9BD","layer":3},{"info":"∃⊬691⊉≛↸∃⊬795=∃⊬D22","layer":3},{"info":"∃⊬9BD⋝⋈⪟∃⊬D22=∃⊬9BD","layer":2},{"info":"∃⊬892-∃⊬1632=∃⊬-DA0","layer":3},{"info":"∃⊬-DA0≣⋋=∃⊬0","layer":2},{"info":"∃⊬9BD⨟⋌⩍∃⊬0=∃⊬9BD","layer":1},{"info":"NaN/∃⊬9BD=NaN","layer":0}]}
{"id":476,"expression_no_base_symbol":"(≉((⊥$1038$)⩤))⋝⋈⪟((∥⊫$1323$)⇼⇔∾(⇁⨣⪵$2578$)-($4082$∧)∲⫓$6866$+⇶⊼$1408$)","expression":"(≉((⊥∃⊬40E)⩤))⋝⋈⪟((∥⊫∃⊬52B)⇼⇔∾(⇁⨣⪵∃⊬A12)-(∃⊬FF2∧)∲⫓∃⊬1AD2+⇶⊼∃⊬580)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23,"operation_count":11,"complexity_ratio":2.090909090909091,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1038,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1323,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2578,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4082,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6866,"base":16},"right_expr":{"type":"numeric_atoms","value":1408,"base":16}}}}},"used_operators":["2DDjHMKMc0","e1ybzncUwg","Z2TMIBDE3Q","Q3PJZHRvZv","rysDP5nf3Z","tifHPKVTfV","P8v4zCKN1o","inkyxCbjAn","i8ToyICDmI","z63VuFQld9","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":1},{"info":"number node, value=1323","layer":4},{"info":"compute unary expreesion, input=1323, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2191","layer":3},{"info":"number node, value=2578","layer":4},{"info":"compute unary expreesion, input=2578, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2191, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=4082","layer":4},{"info":"compute unary expreesion, input=4082, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=6866","layer":4},{"info":"number node, value=1408","layer":4},{"info":"compute binary expreesion, left_input=6866, right_input=1408, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≉((⊥∃⊬40E)⩤))⋝⋈⪟((∥⊫∃⊬52B)⇼⇔∾(⇁⨣⪵∃⊬A12)-(∃⊬FF2∧)∲⫓∃⊬1AD2+⇶⊼∃⊬580)=NaN","reverse_text":"NaN=(≉((⊥∃⊬40E)⩤))⋝⋈⪟((∥⊫∃⊬52B)⇼⇔∾(⇁⨣⪵∃⊬A12)-(∃⊬FF2∧)∲⫓∃⊬1AD2+⇶⊼∃⊬580)","cot":[{"info":"⊥∃⊬40E=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"∥⊫∃⊬52B=∃⊬88F","layer":3},{"info":"⇁⨣⪵∃⊬A12=NaN","layer":3},{"info":"∃⊬88F⇼⇔∾NaN=NaN","layer":2},{"info":"∃⊬FF2∧=NaN","layer":3},{"info":"∃⊬1AD2+⇶⊼∃⊬580=NaN","layer":3},{"info":"NaN∲⫓NaN=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":477,"expression_no_base_symbol":"(($3719$⊉≛↸$3251$)≣⋋)*($3019$⋷$7869$)∀⇚≩($3196$⨵⪆$1483$)⪨≂(≤/$3645$⨟⋌⩍$3566$)⋳⪒($1003$⋝⋈⪟$1414$)⪛(⊙↵-$5380$)","expression":"((∃⊬E87⊉≛↸∃⊬CB3)≣⋋)*(∃⊬BCB⋷∃⊬1EBD)∀⇚≩(∃⊬C7C⨵⪆∃⊬5CB)⪨≂(≤/∃⊬E3D⨟⋌⩍∃⊬DEE)⋳⪒(∃⊬3EB⋝⋈⪟∃⊬586)⪛(⊙↵-∃⊬1504)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":96003,"operation_count":13,"complexity_ratio":7384.846153846154,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3719,"base":16},"right_expr":{"type":"numeric_atoms","value":3251,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3019,"base":16},"right_expr":{"type":"numeric_atoms","value":7869,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3196,"base":16},"right_expr":{"type":"numeric_atoms","value":1483,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3645,"base":16},"right_expr":{"type":"numeric_atoms","value":3566,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":1414,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5380,"base":16}}}}},"used_operators":["sdazOOVcIp","9HNa5Wba9A","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","23Mk6UjR3U","2DQ55sFlQl","12rbrZMWeM","eLAdDNolq6","rGHVDoGpnC","uFcxV4UQCh","2DDjHMKMc0","oWn0xqSxBt"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3719","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=3719, right_input=3251, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7438","layer":3},{"info":"compute unary expreesion, input=7438, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=3019","layer":4},{"info":"number node, value=7869","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=7869, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12719","layer":3},{"info":"number node, value=3196","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=3196, right_input=1483, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=12719, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3645","layer":4},{"info":"number node, value=3566","layer":4},{"info":"compute binary expreesion, left_input=3645, right_input=3566, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1414","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1414, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1003","layer":3},{"info":"number node, value=5380","layer":4},{"info":"compute unary expreesion, input=5380, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=1003, right_input=-1, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬E87⊉≛↸∃⊬CB3)≣⋋)*(∃⊬BCB⋷∃⊬1EBD)∀⇚≩(∃⊬C7C⨵⪆∃⊬5CB)⪨≂(≤/∃⊬E3D⨟⋌⩍∃⊬DEE)⋳⪒(∃⊬3EB⋝⋈⪟∃⊬586)⪛(⊙↵-∃⊬1504)=NaN","reverse_text":"NaN=((∃⊬E87⊉≛↸∃⊬CB3)≣⋋)*(∃⊬BCB⋷∃⊬1EBD)∀⇚≩(∃⊬C7C⨵⪆∃⊬5CB)⪨≂(≤/∃⊬E3D⨟⋌⩍∃⊬DEE)⋳⪒(∃⊬3EB⋝⋈⪟∃⊬586)⪛(⊙↵-∃⊬1504)","cot":[{"info":"∃⊬E87⊉≛↸∃⊬CB3=∃⊬1D0E","layer":3},{"info":"∃⊬1D0E≣⋋=∃⊬0","layer":2},{"info":"∃⊬BCB⋷∃⊬1EBD=∃⊬31AF","layer":3},{"info":"∃⊬C7C⨵⪆∃⊬5CB=∃⊬A0","layer":3},{"info":"∃⊬31AF∀⇚≩∃⊬A0=NaN","layer":2},{"info":"∃⊬0*NaN=NaN","layer":1},{"info":"∃⊬E3D⨟⋌⩍∃⊬DEE=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬3EB⋝⋈⪟∃⊬586=∃⊬3EB","layer":3},{"info":"⊙↵-∃⊬1504=∃⊬-1","layer":3},{"info":"∃⊬3EB⪛∃⊬-1=∃⊬0","layer":2},{"info":"NaN⋳⪒∃⊬0=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":478,"expression_no_base_symbol":"(↽≂($1026$↺$5429$)⨎($7405$+$1297$))+⇶⊼((↣≠⋷$2167$)≋⫹)∑⇟⊟((⊥$4537$)⊉≛↸$3771$⩷∴$6284$)","expression":"(↽≂(∃⊬402↺∃⊬1535)⨎(∃⊬1CED+∃⊬511))+⇶⊼((↣≠⋷∃⊬877)≋⫹)∑⇟⊟((⊥∃⊬11B9)⊉≛↸∃⊬EBB⩷∴∃⊬188C)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":24,"operation_count":11,"complexity_ratio":2.1818181818181817,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":5429,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7405,"base":16},"right_expr":{"type":"numeric_atoms","value":1297,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2167,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4537,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3771,"base":16},"right_expr":{"type":"numeric_atoms","value":6284,"base":16}}}}},"used_operators":["TpPTUOHfaN","u6S6b8DprG","rJVOvQCfKK","7j4O788W3g","W4YGzv6Whe","U7g4x0WXJJ","N41Kp7NANJ","Asc51vEJeQ","DZ8iAZOCBD","Q3PJZHRvZv","9FxExcQeMw"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=5429","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=5429, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5429","layer":3},{"info":"number node, value=7405","layer":4},{"info":"number node, value=1297","layer":4},{"info":"compute binary expreesion, left_input=7405, right_input=1297, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8702","layer":3},{"info":"compute binary expreesion, left_input=5429, right_input=8702, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8702","layer":2},{"info":"compute unary expreesion, input=8702, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-17404","layer":1},{"info":"number node, value=2167","layer":4},{"info":"compute unary expreesion, input=2167, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"number node, value=4537","layer":4},{"info":"compute unary expreesion, input=4537, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=3771","layer":4},{"info":"number node, value=6284","layer":4},{"info":"compute binary expreesion, left_input=3771, right_input=6284, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5058","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5058, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-17404, 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":"(↽≂(∃⊬402↺∃⊬1535)⨎(∃⊬1CED+∃⊬511))+⇶⊼((↣≠⋷∃⊬877)≋⫹)∑⇟⊟((⊥∃⊬11B9)⊉≛↸∃⊬EBB⩷∴∃⊬188C)=NaN","reverse_text":"NaN=(↽≂(∃⊬402↺∃⊬1535)⨎(∃⊬1CED+∃⊬511))+⇶⊼((↣≠⋷∃⊬877)≋⫹)∑⇟⊟((⊥∃⊬11B9)⊉≛↸∃⊬EBB⩷∴∃⊬188C)","cot":[{"info":"∃⊬402↺∃⊬1535=∃⊬1535","layer":3},{"info":"∃⊬1CED+∃⊬511=∃⊬21FE","layer":3},{"info":"∃⊬1535⨎∃⊬21FE=∃⊬21FE","layer":2},{"info":"↽≂∃⊬21FE=∃⊬-43FC","layer":1},{"info":"↣≠⋷∃⊬877=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"⊥∃⊬11B9=NaN","layer":3},{"info":"∃⊬EBB⩷∴∃⊬188C=∃⊬-13C2","layer":3},{"info":"NaN⊉≛↸∃⊬-13C2=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"∃⊬-43FC+⇶⊼NaN=NaN","layer":0}]}
{"id":479,"expression_no_base_symbol":"(≤/(⨰⫟⨤(-$2619$)))⋓((↯⪼$6170$⪮%⊝$1237$)⫸⊐(⩦⩻⨪$3427$∑⇟⊟$4881$))","expression":"(≤/(⨰⫟⨤(-∃⊬A3B)))⋓((↯⪼∃⊬181A⪮%⊝∃⊬4D5)⫸⊐(⩦⩻⨪∃⊬D63∑⇟⊟∃⊬1311))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":11431,"operation_count":9,"complexity_ratio":1270.111111111111,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2619,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6170,"base":16},"right_expr":{"type":"numeric_atoms","value":1237,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3427,"base":16},"right_expr":{"type":"numeric_atoms","value":4881,"base":16}}}}},"used_operators":["T2fj7uvVaJ","eLAdDNolq6","Tw270M8GLb","t8gj7n24qd","mqXw5SEYmG","8jW3W4yZS5","IWmyXbctLI","2td37pGCOC","U7g4x0WXJJ"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2619","layer":4},{"info":"compute unary expreesion, input=2619, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2619","layer":3},{"info":"compute unary expreesion, input=-2619, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=6170","layer":4},{"info":"number node, value=1237","layer":4},{"info":"compute binary expreesion, left_input=6170, right_input=1237, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12656","layer":3},{"info":"compute unary expreesion, input=12656, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=3427","layer":4},{"info":"number node, value=4881","layer":4},{"info":"compute binary expreesion, left_input=3427, right_input=4881, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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=463","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=463, 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":"(≤/(⨰⫟⨤(-∃⊬A3B)))⋓((↯⪼∃⊬181A⪮%⊝∃⊬4D5)⫸⊐(⩦⩻⨪∃⊬D63∑⇟⊟∃⊬1311))=∃⊬0","reverse_text":"∃⊬0=(≤/(⨰⫟⨤(-∃⊬A3B)))⋓((↯⪼∃⊬181A⪮%⊝∃⊬4D5)⫸⊐(⩦⩻⨪∃⊬D63∑⇟⊟∃⊬1311))","cot":[{"info":"-∃⊬A3B=∃⊬-A3B","layer":3},{"info":"⨰⫟⨤∃⊬-A3B=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"∃⊬181A⪮%⊝∃⊬4D5=∃⊬3170","layer":3},{"info":"↯⪼∃⊬3170=∃⊬-15","layer":2},{"info":"∃⊬D63∑⇟⊟∃⊬1311=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"∃⊬-15⫸⊐NaN=∃⊬1CF","layer":1},{"info":"NaN⋓∃⊬1CF=∃⊬0","layer":0}]}
{"id":480,"expression_no_base_symbol":"((↔($2886$⪮%⊝$4529$))%(⊙↵-$2383$)⨽$1291$⨪↰⇹$4221$)∀⇚≩($1501$⊉≛↸$4431$⩨$3792$⋳⪒$3847$)⨟⋌⩍($2001$⋳⪒$3126$⪨≂(⊥$1506$))","expression":"((↔(∃⊬B46⪮%⊝∃⊬11B1))%(⊙↵-∃⊬94F)⨽∃⊬50B⨪↰⇹∃⊬107D)∀⇚≩(∃⊬5DD⊉≛↸∃⊬114F⩨∃⊬ED0⋳⪒∃⊬F07)⨟⋌⩍(∃⊬7D1⋳⪒∃⊬C36⪨≂(⊥∃⊬5E2))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8612,"operation_count":14,"complexity_ratio":615.1428571428571,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2886,"base":16},"right_expr":{"type":"numeric_atoms","value":4529,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2383,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1291,"base":16},"right_expr":{"type":"numeric_atoms","value":4221,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1501,"base":16},"right_expr":{"type":"numeric_atoms","value":4431,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3792,"base":16},"right_expr":{"type":"numeric_atoms","value":3847,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2001,"base":16},"right_expr":{"type":"numeric_atoms","value":3126,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1506,"base":16}}}}},"used_operators":["LRNGc0VcxI","k8jYdgA6NY","ruOEQAzv1W","IWmyXbctLI","8HhzD0ZcuI","oWn0xqSxBt","tmPS8pqC7x","rGHVDoGpnC","2DlMacCsIx","DZ8iAZOCBD","12rbrZMWeM","sdazOOVcIp","Q3PJZHRvZv"],"dependent_operators":["X99M06cbEe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2886","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=2886, right_input=4529, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6088","layer":3},{"info":"compute unary expreesion, input=6088, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5815","layer":2},{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=4221","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=4221, 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=1291","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1291, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-2562","layer":2},{"info":"compute binary expreesion, left_input=-5815, right_input=-2562, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-691","layer":1},{"info":"number node, value=1501","layer":4},{"info":"number node, value=4431","layer":4},{"info":"compute binary expreesion, left_input=1501, right_input=4431, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3002","layer":3},{"info":"number node, value=3792","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=3792, right_input=3847, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3450","layer":3},{"info":"compute binary expreesion, left_input=3002, right_input=3450, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"number node, value=2001","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=2001, right_input=3126, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=589","layer":3},{"info":"number node, value=1506","layer":4},{"info":"compute unary expreesion, input=1506, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=589, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-691, 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":"((↔(∃⊬B46⪮%⊝∃⊬11B1))%(⊙↵-∃⊬94F)⨽∃⊬50B⨪↰⇹∃⊬107D)∀⇚≩(∃⊬5DD⊉≛↸∃⊬114F⩨∃⊬ED0⋳⪒∃⊬F07)⨟⋌⩍(∃⊬7D1⋳⪒∃⊬C36⪨≂(⊥∃⊬5E2))=NaN","reverse_text":"NaN=((↔(∃⊬B46⪮%⊝∃⊬11B1))%(⊙↵-∃⊬94F)⨽∃⊬50B⨪↰⇹∃⊬107D)∀⇚≩(∃⊬5DD⊉≛↸∃⊬114F⩨∃⊬ED0⋳⪒∃⊬F07)⨟⋌⩍(∃⊬7D1⋳⪒∃⊬C36⪨≂(⊥∃⊬5E2))","cot":[{"info":"∃⊬B46⪮%⊝∃⊬11B1=∃⊬17C8","layer":3},{"info":"↔∃⊬17C8=∃⊬-16B7","layer":2},{"info":"⊙↵-∃⊬94F=∃⊬-1","layer":3},{"info":"∃⊬50B⨪↰⇹∃⊬107D=∃⊬50B","layer":3},{"info":"∃⊬-1⨽∃⊬50B=∃⊬-A02","layer":2},{"info":"∃⊬-16B7%∃⊬-A02=∃⊬-2B3","layer":1},{"info":"∃⊬5DD⊉≛↸∃⊬114F=∃⊬BBA","layer":3},{"info":"∃⊬ED0⋳⪒∃⊬F07=∃⊬D7A","layer":3},{"info":"∃⊬BBA⩨∃⊬D7A=∃⊬-3","layer":2},{"info":"∃⊬7D1⋳⪒∃⊬C36=∃⊬24D","layer":3},{"info":"⊥∃⊬5E2=NaN","layer":3},{"info":"∃⊬24D⪨≂NaN=NaN","layer":2},{"info":"∃⊬-3⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬-2B3∀⇚≩NaN=NaN","layer":0}]}
{"id":481,"expression_no_base_symbol":"⫓⪴(($3871$⨸⪁$8364$)⨳⩥⨓$3123$⪢$2094$/($1617$⊴$1019$⪨≂($1003$∧)))","expression":"⫓⪴((∃⊬F1F⨸⪁∃⊬20AC)⨳⩥⨓∃⊬C33⪢∃⊬82E/(∃⊬651⊴∃⊬3FB⪨≂(∃⊬3EB∧)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4854,"operation_count":8,"complexity_ratio":606.75,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3871,"base":16},"right_expr":{"type":"numeric_atoms","value":8364,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3123,"base":16},"right_expr":{"type":"numeric_atoms","value":2094,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1617,"base":16},"right_expr":{"type":"numeric_atoms","value":1019,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1003,"base":16}}}}},"used_operators":["eLxqMNBOBk","XhwjNDsVaA","nCS4ZIUYfx","g55IO6H4Gj","dWAJyo7jo9","sdazOOVcIp","Nsiff2A1zJ","z63VuFQld9"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3871","layer":4},{"info":"number node, value=8364","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=8364, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24470","layer":3},{"info":"number node, value=3123","layer":4},{"info":"number node, value=2094","layer":4},{"info":"compute binary expreesion, left_input=3123, right_input=2094, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24470, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1617","layer":4},{"info":"number node, value=1019","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=1019, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1003","layer":4},{"info":"compute unary expreesion, input=1003, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"⫓⪴((∃⊬F1F⨸⪁∃⊬20AC)⨳⩥⨓∃⊬C33⪢∃⊬82E/(∃⊬651⊴∃⊬3FB⪨≂(∃⊬3EB∧)))=NaN","reverse_text":"NaN=⫓⪴((∃⊬F1F⨸⪁∃⊬20AC)⨳⩥⨓∃⊬C33⪢∃⊬82E/(∃⊬651⊴∃⊬3FB⪨≂(∃⊬3EB∧)))","cot":[{"info":"∃⊬F1F⨸⪁∃⊬20AC=∃⊬5F96","layer":3},{"info":"∃⊬C33⪢∃⊬82E=NaN","layer":3},{"info":"∃⊬5F96⨳⩥⨓NaN=NaN","layer":2},{"info":"∃⊬651⊴∃⊬3FB=NaN","layer":3},{"info":"∃⊬3EB∧=NaN","layer":3},{"info":"NaN⪨≂NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":482,"expression_no_base_symbol":"((≦∁(+⊝⨔$1090$))⋥≓≎($2199$⪨≂$4186$)⩷∴(⨈⫕$2771$))⨰(($3829$⇼⇔∾$3467$)⫥∨⫟$1010$+⇶⊼$6987$)⨟⋌⩍(⨈⫕(⊥$1224$))","expression":"((≦∁(+⊝⨔∃⊬442))⋥≓≎(∃⊬897⪨≂∃⊬105A)⩷∴(⨈⫕∃⊬AD3))⨰((∃⊬EF5⇼⇔∾∃⊬D8B)⫥∨⫟∃⊬3F2+⇶⊼∃⊬1B4B)⨟⋌⩍(⨈⫕(⊥∃⊬4C8))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1076,"operation_count":13,"complexity_ratio":82.76923076923077,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1090,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2199,"base":16},"right_expr":{"type":"numeric_atoms","value":4186,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2771,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3829,"base":16},"right_expr":{"type":"numeric_atoms","value":3467,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1010,"base":16},"right_expr":{"type":"numeric_atoms","value":6987,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1224,"base":16}}}}},"used_operators":["eewbuw0ToL","Qy55tPpLXF","9ICcGScMcE","DhbWaqg5eL","9FxExcQeMw","sdazOOVcIp","megm06wKyl","rGHVDoGpnC","KYD54nUTWz","tifHPKVTfV","TpPTUOHfaN","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Tcnh7f0tEr","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1090","layer":4},{"info":"compute unary expreesion, input=1090, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1522","layer":2},{"info":"number node, value=2199","layer":4},{"info":"number node, value=4186","layer":4},{"info":"compute binary expreesion, left_input=2199, right_input=4186, 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=-3872","layer":3},{"info":"number node, value=2771","layer":4},{"info":"compute unary expreesion, input=2771, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-3872, right_input=-21, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7734","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-7734, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-16957","layer":1},{"info":"number node, value=3829","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=3829, right_input=3467, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-362","layer":3},{"info":"number node, value=1010","layer":4},{"info":"number node, value=6987","layer":4},{"info":"compute binary expreesion, left_input=1010, right_input=6987, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-362, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1224","layer":4},{"info":"compute unary expreesion, input=1224, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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=-16957, 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":"((≦∁(+⊝⨔∃⊬442))⋥≓≎(∃⊬897⪨≂∃⊬105A)⩷∴(⨈⫕∃⊬AD3))⨰((∃⊬EF5⇼⇔∾∃⊬D8B)⫥∨⫟∃⊬3F2+⇶⊼∃⊬1B4B)⨟⋌⩍(⨈⫕(⊥∃⊬4C8))=NaN","reverse_text":"NaN=((≦∁(+⊝⨔∃⊬442))⋥≓≎(∃⊬897⪨≂∃⊬105A)⩷∴(⨈⫕∃⊬AD3))⨰((∃⊬EF5⇼⇔∾∃⊬D8B)⫥∨⫟∃⊬3F2+⇶⊼∃⊬1B4B)⨟⋌⩍(⨈⫕(⊥∃⊬4C8))","cot":[{"info":"+⊝⨔∃⊬442=∃⊬5F2","layer":3},{"info":"≦∁∃⊬5F2=∃⊬5F2","layer":2},{"info":"∃⊬897⪨≂∃⊬105A=∃⊬-F20","layer":3},{"info":"⨈⫕∃⊬AD3=∃⊬-15","layer":3},{"info":"∃⊬-F20⩷∴∃⊬-15=∃⊬-1E36","layer":2},{"info":"∃⊬5F2⋥≓≎∃⊬-1E36=∃⊬-423D","layer":1},{"info":"∃⊬EF5⇼⇔∾∃⊬D8B=∃⊬-16A","layer":3},{"info":"∃⊬3F2+⇶⊼∃⊬1B4B=NaN","layer":3},{"info":"∃⊬-16A⫥∨⫟NaN=NaN","layer":2},{"info":"⊥∃⊬4C8=NaN","layer":3},{"info":"⨈⫕NaN=∃⊬-15","layer":2},{"info":"NaN⨟⋌⩍∃⊬-15=NaN","layer":1},{"info":"∃⊬-423D⨰NaN=NaN","layer":0}]}
{"id":483,"expression_no_base_symbol":"$1049$⪛$3860$∼($6664$⫥∨⫟$3273$)≧⫂∧$3229$⪮%⊝$2711$∼($2036$⪨≂$1550$)-($3408$⋝⋈⪟$1856$/(⋗⩬⋾$1768$))-(↩$7759$)%$6223$⋳⪒$1097$","expression":"∃⊬419⪛∃⊬F14∼(∃⊬1A08⫥∨⫟∃⊬CC9)≧⫂∧∃⊬C9D⪮%⊝∃⊬A97∼(∃⊬7F4⪨≂∃⊬60E)-(∃⊬D50⋝⋈⪟∃⊬740/(⋗⩬⋾∃⊬6E8))-(↩∃⊬1E4F)%∃⊬184F⋳⪒∃⊬449","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":366,"operation_count":15,"complexity_ratio":24.4,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":3860,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6664,"base":16},"right_expr":{"type":"numeric_atoms","value":3273,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3229,"base":16},"right_expr":{"type":"numeric_atoms","value":2711,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2036,"base":16},"right_expr":{"type":"numeric_atoms","value":1550,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3408,"base":16},"right_expr":{"type":"numeric_atoms","value":1856,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1768,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":7759,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6223,"base":16},"right_expr":{"type":"numeric_atoms","value":1097,"base":16}}}}},"used_operators":["rysDP5nf3Z","Ph9nP6C5qx","DyGG3AbaNP","uFcxV4UQCh","KYD54nUTWz","IWmyXbctLI","sdazOOVcIp","XhwjNDsVaA","2DDjHMKMc0","DpFCA1CohY","k8jYdgA6NY","jLgFTUHLKL","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8HhzD0ZcuI","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1049","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=3860, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1049","layer":3},{"info":"number node, value=6664","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=6664, right_input=3273, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1049, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3229","layer":4},{"info":"number node, value=2711","layer":4},{"info":"compute binary expreesion, left_input=3229, right_input=2711, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6774","layer":3},{"info":"number node, value=2036","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=2036, right_input=1550, 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=1074","layer":3},{"info":"compute binary expreesion, left_input=6774, right_input=1074, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=3408","layer":4},{"info":"number node, value=1856","layer":4},{"info":"compute binary expreesion, left_input=3408, right_input=1856, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3408","layer":3},{"info":"number node, value=1768","layer":4},{"info":"compute unary expreesion, input=1768, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5304","layer":3},{"info":"compute binary expreesion, left_input=3408, right_input=-5304, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":2},{"info":"number node, value=7759","layer":4},{"info":"compute unary expreesion, input=7759, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-59292","layer":3},{"info":"number node, value=6223","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=6223, right_input=1097, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=11062","layer":3},{"info":"compute binary expreesion, left_input=-59292, right_input=11062, op_id = k8jYdgA6NY binary_op_definition= 'None', output=7080","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=7080, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7081","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-7081, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬419⪛∃⊬F14∼(∃⊬1A08⫥∨⫟∃⊬CC9)≧⫂∧∃⊬C9D⪮%⊝∃⊬A97∼(∃⊬7F4⪨≂∃⊬60E)-(∃⊬D50⋝⋈⪟∃⊬740/(⋗⩬⋾∃⊬6E8))-(↩∃⊬1E4F)%∃⊬184F⋳⪒∃⊬449=NaN","reverse_text":"NaN=∃⊬419⪛∃⊬F14∼(∃⊬1A08⫥∨⫟∃⊬CC9)≧⫂∧∃⊬C9D⪮%⊝∃⊬A97∼(∃⊬7F4⪨≂∃⊬60E)-(∃⊬D50⋝⋈⪟∃⊬740/(⋗⩬⋾∃⊬6E8))-(↩∃⊬1E4F)%∃⊬184F⋳⪒∃⊬449","cot":[{"info":"∃⊬419⪛∃⊬F14=∃⊬419","layer":3},{"info":"∃⊬1A08⫥∨⫟∃⊬CC9=NaN","layer":3},{"info":"∃⊬419∼NaN=NaN","layer":2},{"info":"∃⊬C9D⪮%⊝∃⊬A97=∃⊬1A76","layer":3},{"info":"∃⊬7F4⪨≂∃⊬60E=∃⊬432","layer":3},{"info":"∃⊬1A76∼∃⊬432=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬D50⋝⋈⪟∃⊬740=∃⊬D50","layer":3},{"info":"⋗⩬⋾∃⊬6E8=∃⊬-14B8","layer":3},{"info":"∃⊬D50/∃⊬-14B8=∃⊬-1","layer":2},{"info":"↩∃⊬1E4F=∃⊬-E79C","layer":3},{"info":"∃⊬184F⋳⪒∃⊬449=∃⊬2B36","layer":3},{"info":"∃⊬-E79C%∃⊬2B36=∃⊬1BA8","layer":2},{"info":"∃⊬-1-∃⊬1BA8=∃⊬-1BA9","layer":1},{"info":"NaN-∃⊬-1BA9=NaN","layer":0}]}
{"id":484,"expression_no_base_symbol":"⫛⫱⨽(($1213$/$8183$)⋳⪒$1946$⪢$2001$⩨($5535$⨎$2055$+$1515$∲⫓$2343$))","expression":"⫛⫱⨽((∃⊬4BD/∃⊬1FF7)⋳⪒∃⊬79A⪢∃⊬7D1⩨(∃⊬159F⨎∃⊬807+∃⊬5EB∲⫓∃⊬927))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2929,"operation_count":8,"complexity_ratio":366.125,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1213,"base":16},"right_expr":{"type":"numeric_atoms","value":8183,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1946,"base":16},"right_expr":{"type":"numeric_atoms","value":2001,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5535,"base":16},"right_expr":{"type":"numeric_atoms","value":2055,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1515,"base":16},"right_expr":{"type":"numeric_atoms","value":2343,"base":16}}}}},"used_operators":["DlLNRPXxWL","2DlMacCsIx","12rbrZMWeM","XhwjNDsVaA","dWAJyo7jo9","W4YGzv6Whe","rJVOvQCfKK","i8ToyICDmI"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1213","layer":4},{"info":"number node, value=8183","layer":4},{"info":"compute binary expreesion, left_input=1213, right_input=8183, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1946","layer":4},{"info":"number node, value=2001","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=2001, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=5535","layer":4},{"info":"number node, value=2055","layer":4},{"info":"compute binary expreesion, left_input=5535, right_input=2055, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2055","layer":3},{"info":"number node, value=1515","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=2343, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2055, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2055","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2055, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽((∃⊬4BD/∃⊬1FF7)⋳⪒∃⊬79A⪢∃⊬7D1⩨(∃⊬159F⨎∃⊬807+∃⊬5EB∲⫓∃⊬927))=NaN","reverse_text":"NaN=⫛⫱⨽((∃⊬4BD/∃⊬1FF7)⋳⪒∃⊬79A⪢∃⊬7D1⩨(∃⊬159F⨎∃⊬807+∃⊬5EB∲⫓∃⊬927))","cot":[{"info":"∃⊬4BD/∃⊬1FF7=∃⊬0","layer":3},{"info":"∃⊬79A⪢∃⊬7D1=NaN","layer":3},{"info":"∃⊬0⋳⪒NaN=NaN","layer":2},{"info":"∃⊬159F⨎∃⊬807=∃⊬807","layer":3},{"info":"∃⊬5EB∲⫓∃⊬927=∃⊬0","layer":3},{"info":"∃⊬807+∃⊬0=∃⊬807","layer":2},{"info":"NaN⩨∃⊬807=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":485,"expression_no_base_symbol":"(⨑⩽⪐($1244$∑⇟⊟$1022$)≹⇙⪍($1691$∀⇚≩$1456$))⋥≓≎((($4552$-$2170$)⪒$4533$⨓$1195$)↺($1063$⋥≓≎$1444$↺($7344$⋫)))","expression":"(⨑⩽⪐(∃⊬4DC∑⇟⊟∃⊬3FE)≹⇙⪍(∃⊬69B∀⇚≩∃⊬5B0))⋥≓≎(((∃⊬11C8-∃⊬87A)⪒∃⊬11B5⨓∃⊬4AB)↺(∃⊬427⋥≓≎∃⊬5A4↺(∃⊬1CB0⋫)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20405,"operation_count":12,"complexity_ratio":1700.4166666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1244,"base":16},"right_expr":{"type":"numeric_atoms","value":1022,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1691,"base":16},"right_expr":{"type":"numeric_atoms","value":1456,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4552,"base":16},"right_expr":{"type":"numeric_atoms","value":2170,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4533,"base":16},"right_expr":{"type":"numeric_atoms","value":1195,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1063,"base":16},"right_expr":{"type":"numeric_atoms","value":1444,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":7344,"base":16}}}}},"used_operators":["Qy55tPpLXF","AF7qkfDlqP","AHs5Up7iyr","U7g4x0WXJJ","LRNGc0VcxI","7j4O788W3g","f6k1SAg4EE","rysDP5nf3Z","3ViojmjbAp","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1244","layer":4},{"info":"number node, value=1022","layer":4},{"info":"compute binary expreesion, left_input=1244, right_input=1022, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=1456, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"number node, value=4552","layer":4},{"info":"number node, value=2170","layer":4},{"info":"compute binary expreesion, left_input=4552, right_input=2170, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2382","layer":3},{"info":"number node, value=4533","layer":4},{"info":"number node, value=1195","layer":4},{"info":"compute binary expreesion, left_input=4533, right_input=1195, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1198","layer":3},{"info":"compute binary expreesion, left_input=2382, right_input=-1198, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-1184","layer":2},{"info":"number node, value=1063","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=1444, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1858","layer":3},{"info":"number node, value=7344","layer":4},{"info":"compute unary expreesion, input=7344, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=7344","layer":3},{"info":"compute binary expreesion, left_input=1858, right_input=7344, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7344","layer":2},{"info":"compute binary expreesion, left_input=-1184, right_input=7344, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7344","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=7344, 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":"(⨑⩽⪐(∃⊬4DC∑⇟⊟∃⊬3FE)≹⇙⪍(∃⊬69B∀⇚≩∃⊬5B0))⋥≓≎(((∃⊬11C8-∃⊬87A)⪒∃⊬11B5⨓∃⊬4AB)↺(∃⊬427⋥≓≎∃⊬5A4↺(∃⊬1CB0⋫)))=∃⊬43","reverse_text":"∃⊬43=(⨑⩽⪐(∃⊬4DC∑⇟⊟∃⊬3FE)≹⇙⪍(∃⊬69B∀⇚≩∃⊬5B0))⋥≓≎(((∃⊬11C8-∃⊬87A)⪒∃⊬11B5⨓∃⊬4AB)↺(∃⊬427⋥≓≎∃⊬5A4↺(∃⊬1CB0⋫)))","cot":[{"info":"∃⊬4DC∑⇟⊟∃⊬3FE=NaN","layer":3},{"info":"∃⊬69B∀⇚≩∃⊬5B0=NaN","layer":3},{"info":"NaN≹⇙⪍NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"∃⊬11C8-∃⊬87A=∃⊬94E","layer":3},{"info":"∃⊬11B5⨓∃⊬4AB=∃⊬-4AE","layer":3},{"info":"∃⊬94E⪒∃⊬-4AE=∃⊬-4A0","layer":2},{"info":"∃⊬427⋥≓≎∃⊬5A4=∃⊬742","layer":3},{"info":"∃⊬1CB0⋫=∃⊬1CB0","layer":3},{"info":"∃⊬742↺∃⊬1CB0=∃⊬1CB0","layer":2},{"info":"∃⊬-4A0↺∃⊬1CB0=∃⊬1CB0","layer":1},{"info":"NaN⋥≓≎∃⊬1CB0=∃⊬43","layer":0}]}
{"id":486,"expression_no_base_symbol":"(↯⪼((⨞⊢$3002$)⪐))⨪↰⇹($1149$⇷$3138$)≹⇙⪍($5398$⨎$1626$)∀⇚≩(($4304$∲⫓$2262$)⋓(⫓⪴$1381$))","expression":"(↯⪼((⨞⊢∃⊬BBA)⪐))⨪↰⇹(∃⊬47D⇷∃⊬C42)≹⇙⪍(∃⊬1516⨎∃⊬65A)∀⇚≩((∃⊬10D0∲⫓∃⊬8D6)⋓(⫓⪴∃⊬565))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29295,"operation_count":11,"complexity_ratio":2663.181818181818,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3002,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1149,"base":16},"right_expr":{"type":"numeric_atoms","value":3138,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5398,"base":16},"right_expr":{"type":"numeric_atoms","value":1626,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4304,"base":16},"right_expr":{"type":"numeric_atoms","value":2262,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1381,"base":16}}}}},"used_operators":["tmPS8pqC7x","8jW3W4yZS5","eH2TOUuTDT","xUOZtlo3hN","LRNGc0VcxI","AHs5Up7iyr","mp7IySMOzn","rJVOvQCfKK","T2fj7uvVaJ","i8ToyICDmI","eLxqMNBOBk"],"dependent_operators":["rJVOvQCfKK","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"∃⊬2E0B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3002","layer":4},{"info":"compute unary expreesion, input=3002, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3176","layer":3},{"info":"compute unary expreesion, input=-3176, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-6352","layer":2},{"info":"compute unary expreesion, input=-6352, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=11787","layer":1},{"info":"number node, value=1149","layer":4},{"info":"number node, value=3138","layer":4},{"info":"compute binary expreesion, left_input=1149, right_input=3138, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6276","layer":3},{"info":"number node, value=5398","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=5398, right_input=1626, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1626","layer":3},{"info":"compute binary expreesion, left_input=6276, right_input=1626, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4304","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=4304, right_input=2262, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1907161","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1907161, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, 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=nan","layer":1},{"info":"compute binary expreesion, left_input=11787, 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=11787","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((⨞⊢∃⊬BBA)⪐))⨪↰⇹(∃⊬47D⇷∃⊬C42)≹⇙⪍(∃⊬1516⨎∃⊬65A)∀⇚≩((∃⊬10D0∲⫓∃⊬8D6)⋓(⫓⪴∃⊬565))=∃⊬2E0B","reverse_text":"∃⊬2E0B=(↯⪼((⨞⊢∃⊬BBA)⪐))⨪↰⇹(∃⊬47D⇷∃⊬C42)≹⇙⪍(∃⊬1516⨎∃⊬65A)∀⇚≩((∃⊬10D0∲⫓∃⊬8D6)⋓(⫓⪴∃⊬565))","cot":[{"info":"⨞⊢∃⊬BBA=∃⊬-C68","layer":3},{"info":"∃⊬-C68⪐=∃⊬-18D0","layer":2},{"info":"↯⪼∃⊬-18D0=∃⊬2E0B","layer":1},{"info":"∃⊬47D⇷∃⊬C42=∃⊬1884","layer":3},{"info":"∃⊬1516⨎∃⊬65A=∃⊬65A","layer":3},{"info":"∃⊬1884≹⇙⪍∃⊬65A=NaN","layer":2},{"info":"∃⊬10D0∲⫓∃⊬8D6=∃⊬0","layer":3},{"info":"⫓⪴∃⊬565=∃⊬1D19D9","layer":3},{"info":"∃⊬0⋓∃⊬1D19D9=∃⊬0","layer":2},{"info":"NaN∀⇚≩∃⊬0=NaN","layer":1},{"info":"∃⊬2E0B⨪↰⇹NaN=∃⊬2E0B","layer":0}]}
{"id":487,"expression_no_base_symbol":"(↥($5831$⫌⩹⨱)⨰(⇁⨣⪵$4040$))↬(↔(($5755$⋫)⩚⊴⇥($1696$⋥≓≎$1646$)))","expression":"(↥(∃⊬16C7⫌⩹⨱)⨰(⇁⨣⪵∃⊬FC8))↬(↔((∃⊬167B⋫)⩚⊴⇥(∃⊬6A0⋥≓≎∃⊬66E)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5800,"operation_count":9,"complexity_ratio":644.4444444444445,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":5831,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":4040,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5755,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1696,"base":16},"right_expr":{"type":"numeric_atoms","value":1646,"base":16}}}}},"used_operators":["B5M0gjZbta","A8NUZmVepG","eewbuw0ToL","EBcxylXtPf","inkyxCbjAn","ruOEQAzv1W","NTOWxs364D","JL8yIekQnl","Qy55tPpLXF"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5831","layer":4},{"info":"compute unary expreesion, input=5831, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=13063","layer":3},{"info":"number node, value=4040","layer":4},{"info":"compute unary expreesion, input=4040, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13063, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"number node, value=5755","layer":4},{"info":"compute unary expreesion, input=5755, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5755","layer":3},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1646, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1629","layer":3},{"info":"compute binary expreesion, left_input=5755, right_input=1629, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7505","layer":2},{"info":"compute unary expreesion, input=-7505, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-134, op_id = 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":"(↥(∃⊬16C7⫌⩹⨱)⨰(⇁⨣⪵∃⊬FC8))↬(↔((∃⊬167B⋫)⩚⊴⇥(∃⊬6A0⋥≓≎∃⊬66E)))=NaN","reverse_text":"NaN=(↥(∃⊬16C7⫌⩹⨱)⨰(⇁⨣⪵∃⊬FC8))↬(↔((∃⊬167B⋫)⩚⊴⇥(∃⊬6A0⋥≓≎∃⊬66E)))","cot":[{"info":"∃⊬16C7⫌⩹⨱=∃⊬3307","layer":3},{"info":"⇁⨣⪵∃⊬FC8=NaN","layer":3},{"info":"∃⊬3307⨰NaN=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"∃⊬167B⋫=∃⊬167B","layer":3},{"info":"∃⊬6A0⋥≓≎∃⊬66E=∃⊬65D","layer":3},{"info":"∃⊬167B⩚⊴⇥∃⊬65D=∃⊬-1D51","layer":2},{"info":"↔∃⊬-1D51=∃⊬-86","layer":1},{"info":"NaN↬∃⊬-86=NaN","layer":0}]}
{"id":488,"expression_no_base_symbol":"⨈⫕($3377$∀⇚≩$2067$⨎($1649$⨵⪆$1377$))∑⇟⊟($5168$⋓$1991$)⇷($1195$⨓$3346$)","expression":"⨈⫕(∃⊬D31∀⇚≩∃⊬813⨎(∃⊬671⨵⪆∃⊬561))∑⇟⊟(∃⊬1430⋓∃⊬7C7)⇷(∃⊬4AB⨓∃⊬D12)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27402,"operation_count":8,"complexity_ratio":3425.25,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3377,"base":16},"right_expr":{"type":"numeric_atoms","value":2067,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1649,"base":16},"right_expr":{"type":"numeric_atoms","value":1377,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5168,"base":16},"right_expr":{"type":"numeric_atoms","value":1991,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1195,"base":16},"right_expr":{"type":"numeric_atoms","value":3346,"base":16}}}}},"used_operators":["megm06wKyl","U7g4x0WXJJ","rJVOvQCfKK","LRNGc0VcxI","2DQ55sFlQl","mp7IySMOzn","T2fj7uvVaJ","3ViojmjbAp"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3377","layer":4},{"info":"number node, value=2067","layer":4},{"info":"compute binary expreesion, left_input=3377, right_input=2067, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=1377","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=1377, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":2},{"info":"number node, value=5168","layer":4},{"info":"number node, value=1991","layer":4},{"info":"compute binary expreesion, left_input=5168, right_input=1991, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1195","layer":4},{"info":"number node, value=3346","layer":4},{"info":"compute binary expreesion, left_input=1195, right_input=3346, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3349","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3349, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=160","layer":1},{"info":"compute unary expreesion, input=160, 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":"⨈⫕(∃⊬D31∀⇚≩∃⊬813⨎(∃⊬671⨵⪆∃⊬561))∑⇟⊟(∃⊬1430⋓∃⊬7C7)⇷(∃⊬4AB⨓∃⊬D12)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(∃⊬D31∀⇚≩∃⊬813⨎(∃⊬671⨵⪆∃⊬561))∑⇟⊟(∃⊬1430⋓∃⊬7C7)⇷(∃⊬4AB⨓∃⊬D12)","cot":[{"info":"∃⊬D31∀⇚≩∃⊬813=NaN","layer":3},{"info":"∃⊬671⨵⪆∃⊬561=∃⊬A0","layer":3},{"info":"NaN⨎∃⊬A0=∃⊬A0","layer":2},{"info":"∃⊬1430⋓∃⊬7C7=∃⊬0","layer":3},{"info":"∃⊬4AB⨓∃⊬D12=∃⊬-D15","layer":3},{"info":"∃⊬0⇷∃⊬-D15=∃⊬0","layer":2},{"info":"∃⊬A0∑⇟⊟∃⊬0=∃⊬A0","layer":1},{"info":"⨈⫕∃⊬A0=∃⊬-15","layer":0}]}
{"id":489,"expression_no_base_symbol":"(($4621$⪮%⊝$3164$↙(⨰⫟⨤$1238$))⩠)⨽((⩦⩻⨪$1989$)↛⩡⫤)⪢(($7626$≧⫂∧$1677$)⪘⫢($1071$⩠))","expression":"((∃⊬120D⪮%⊝∃⊬C5C↙(⨰⫟⨤∃⊬4D6))⩠)⨽((⩦⩻⨪∃⊬7C5)↛⩡⫤)⪢((∃⊬1DCA≧⫂∧∃⊬68D)⪘⫢(∃⊬42F⩠))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10286,"operation_count":11,"complexity_ratio":935.0909090909091,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4621,"base":16},"right_expr":{"type":"numeric_atoms","value":3164,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1238,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1989,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7626,"base":16},"right_expr":{"type":"numeric_atoms","value":1677,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1071,"base":16}}}}},"used_operators":["8HhzD0ZcuI","sJAwomhLZr","yyfyN0ffXY","IWmyXbctLI","Tw270M8GLb","dWAJyo7jo9","FU0Cs4j7VP","2td37pGCOC","oacrs7FA3X","Ph9nP6C5qx"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4621","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=4621, right_input=3164, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9558","layer":3},{"info":"number node, value=1238","layer":4},{"info":"compute unary expreesion, input=1238, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9558, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"number node, value=1989","layer":4},{"info":"compute unary expreesion, input=1989, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1989","layer":3},{"info":"compute unary expreesion, input=1989, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-296428","layer":2},{"info":"number node, value=7626","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=7626, right_input=1677, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1204","layer":3},{"info":"number node, value=1071","layer":4},{"info":"compute unary expreesion, input=1071, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1204, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-296428, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬120D⪮%⊝∃⊬C5C↙(⨰⫟⨤∃⊬4D6))⩠)⨽((⩦⩻⨪∃⊬7C5)↛⩡⫤)⪢((∃⊬1DCA≧⫂∧∃⊬68D)⪘⫢(∃⊬42F⩠))=NaN","reverse_text":"NaN=((∃⊬120D⪮%⊝∃⊬C5C↙(⨰⫟⨤∃⊬4D6))⩠)⨽((⩦⩻⨪∃⊬7C5)↛⩡⫤)⪢((∃⊬1DCA≧⫂∧∃⊬68D)⪘⫢(∃⊬42F⩠))","cot":[{"info":"∃⊬120D⪮%⊝∃⊬C5C=∃⊬2556","layer":3},{"info":"⨰⫟⨤∃⊬4D6=NaN","layer":3},{"info":"∃⊬2556↙NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"⩦⩻⨪∃⊬7C5=∃⊬7C5","layer":3},{"info":"∃⊬7C5↛⩡⫤=∃⊬-485EC","layer":2},{"info":"∃⊬1DCA≧⫂∧∃⊬68D=∃⊬4B4","layer":3},{"info":"∃⊬42F⩠=∃⊬0","layer":3},{"info":"∃⊬4B4⪘⫢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-485EC⪢∃⊬0=∃⊬0","layer":1},{"info":"NaN⨽∃⊬0=NaN","layer":0}]}
{"id":490,"expression_no_base_symbol":"(($1488$+⇶⊼$6345$∲⫓$1570$⋥≓≎$6896$)⪒(⇁⨣⪵$1255$⪘⫢$1347$))⋓(⋗⩬⋾($2551$∀⇚≩$6229$)⪢($3085$⪨≂$1954$))","expression":"((∃⊬5D0+⇶⊼∃⊬18C9∲⫓∃⊬622⋥≓≎∃⊬1AF0)⪒(⇁⨣⪵∃⊬4E7⪘⫢∃⊬543))⋓(⋗⩬⋾(∃⊬9F7∀⇚≩∃⊬1855)⪢(∃⊬C0D⪨≂∃⊬7A2))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20268,"operation_count":11,"complexity_ratio":1842.5454545454545,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1488,"base":16},"right_expr":{"type":"numeric_atoms","value":6345,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1570,"base":16},"right_expr":{"type":"numeric_atoms","value":6896,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1255,"base":16},"right_expr":{"type":"numeric_atoms","value":1347,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2551,"base":16},"right_expr":{"type":"numeric_atoms","value":6229,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3085,"base":16},"right_expr":{"type":"numeric_atoms","value":1954,"base":16}}}}},"used_operators":["T2fj7uvVaJ","f6k1SAg4EE","i8ToyICDmI","TpPTUOHfaN","Qy55tPpLXF","inkyxCbjAn","oacrs7FA3X","DpFCA1CohY","dWAJyo7jo9","LRNGc0VcxI","sdazOOVcIp"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1488","layer":4},{"info":"number node, value=6345","layer":4},{"info":"compute binary expreesion, left_input=1488, right_input=6345, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1570","layer":4},{"info":"number node, value=6896","layer":4},{"info":"compute binary expreesion, left_input=1570, right_input=6896, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=12255","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12255, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1255","layer":4},{"info":"number node, value=1347","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=1347, 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":3},{"info":"compute unary expreesion, input=2386, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2551","layer":4},{"info":"number node, value=6229","layer":4},{"info":"compute binary expreesion, left_input=2551, right_input=6229, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3085","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=3085, right_input=1954, 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=2364","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2364, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬5D0+⇶⊼∃⊬18C9∲⫓∃⊬622⋥≓≎∃⊬1AF0)⪒(⇁⨣⪵∃⊬4E7⪘⫢∃⊬543))⋓(⋗⩬⋾(∃⊬9F7∀⇚≩∃⊬1855)⪢(∃⊬C0D⪨≂∃⊬7A2))=NaN","reverse_text":"NaN=((∃⊬5D0+⇶⊼∃⊬18C9∲⫓∃⊬622⋥≓≎∃⊬1AF0)⪒(⇁⨣⪵∃⊬4E7⪘⫢∃⊬543))⋓(⋗⩬⋾(∃⊬9F7∀⇚≩∃⊬1855)⪢(∃⊬C0D⪨≂∃⊬7A2))","cot":[{"info":"∃⊬5D0+⇶⊼∃⊬18C9=NaN","layer":3},{"info":"∃⊬622⋥≓≎∃⊬1AF0=∃⊬2FDF","layer":3},{"info":"NaN∲⫓∃⊬2FDF=∃⊬0","layer":2},{"info":"∃⊬4E7⪘⫢∃⊬543=∃⊬952","layer":3},{"info":"⇁⨣⪵∃⊬952=NaN","layer":2},{"info":"∃⊬0⪒NaN=NaN","layer":1},{"info":"∃⊬9F7∀⇚≩∃⊬1855=NaN","layer":3},{"info":"∃⊬C0D⪨≂∃⊬7A2=∃⊬93C","layer":3},{"info":"NaN⪢∃⊬93C=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":491,"expression_no_base_symbol":"(((⊄⩳↩$1062$)+$1009$↙$7884$)⪄(↯⪼($4252$⩤)))⩚⊴⇥(-((↽≂$5727$)⨵⪆(⨵≀≌$2464$)))","expression":"(((⊄⩳↩∃⊬426)+∃⊬3F1↙∃⊬1ECC)⪄(↯⪼(∃⊬109C⩤)))⩚⊴⇥(-((↽≂∃⊬165F)⨵⪆(⨵≀≌∃⊬9A0)))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":8009,"operation_count":11,"complexity_ratio":728.0909090909091,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1062,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1009,"base":16},"right_expr":{"type":"numeric_atoms","value":7884,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4252,"base":16}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":5727,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2464,"base":16}}}}},"used_operators":["NTOWxs364D","SUmda5xLS4","W4YGzv6Whe","8w2t5hMYqp","yyfyN0ffXY","8jW3W4yZS5","Z2TMIBDE3Q","t8gj7n24qd","2DQ55sFlQl","u6S6b8DprG","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬-F64","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1062","layer":4},{"info":"compute unary expreesion, input=1062, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3186","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=7884","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=7884, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23652","layer":3},{"info":"compute binary expreesion, left_input=-3186, right_input=-23652, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-26838","layer":2},{"info":"number node, value=4252","layer":4},{"info":"compute unary expreesion, input=4252, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4252","layer":3},{"info":"compute unary expreesion, input=-4252, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=7587","layer":2},{"info":"compute binary expreesion, left_input=-26838, right_input=7587, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=5727","layer":4},{"info":"compute unary expreesion, input=5727, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-11454","layer":3},{"info":"number node, value=2464","layer":4},{"info":"compute unary expreesion, input=2464, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7392","layer":3},{"info":"compute binary expreesion, left_input=-11454, right_input=-7392, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-160","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=-160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3940","layer":0}],"base":16,"result_base":16,"text":"(((⊄⩳↩∃⊬426)+∃⊬3F1↙∃⊬1ECC)⪄(↯⪼(∃⊬109C⩤)))⩚⊴⇥(-((↽≂∃⊬165F)⨵⪆(⨵≀≌∃⊬9A0)))=∃⊬-F64","reverse_text":"∃⊬-F64=(((⊄⩳↩∃⊬426)+∃⊬3F1↙∃⊬1ECC)⪄(↯⪼(∃⊬109C⩤)))⩚⊴⇥(-((↽≂∃⊬165F)⨵⪆(⨵≀≌∃⊬9A0)))","cot":[{"info":"⊄⩳↩∃⊬426=∃⊬-C72","layer":3},{"info":"∃⊬3F1↙∃⊬1ECC=∃⊬-5C64","layer":3},{"info":"∃⊬-C72+∃⊬-5C64=∃⊬-68D6","layer":2},{"info":"∃⊬109C⩤=∃⊬-109C","layer":3},{"info":"↯⪼∃⊬-109C=∃⊬1DA3","layer":2},{"info":"∃⊬-68D6⪄∃⊬1DA3=∃⊬F8B","layer":1},{"info":"↽≂∃⊬165F=∃⊬-2CBE","layer":3},{"info":"⨵≀≌∃⊬9A0=∃⊬-1CE0","layer":3},{"info":"∃⊬-2CBE⨵⪆∃⊬-1CE0=∃⊬A0","layer":2},{"info":"-∃⊬A0=∃⊬-A0","layer":1},{"info":"∃⊬F8B⩚⊴⇥∃⊬-A0=∃⊬-F64","layer":0}]}
{"id":492,"expression_no_base_symbol":"(($2659$↺$4331$↙($6052$⩨$1704$))⨽($6361$⪘⫢$1325$)⪘⫢($1192$⨳⩥⨓$1382$))⋓(⨵≀≌(⩦⩻⨪$1476$)⊴($7624$≧⫂∧$3824$))","expression":"((∃⊬A63↺∃⊬10EB↙(∃⊬17A4⩨∃⊬6A8))⨽(∃⊬18D9⪘⫢∃⊬52D)⪘⫢(∃⊬4A8⨳⩥⨓∃⊬566))⋓(⨵≀≌(⩦⩻⨪∃⊬5C4)⊴(∃⊬1DC8≧⫂∧∃⊬EF0))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3424,"operation_count":12,"complexity_ratio":285.3333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2659,"base":16},"right_expr":{"type":"numeric_atoms","value":4331,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6052,"base":16},"right_expr":{"type":"numeric_atoms","value":1704,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6361,"base":16},"right_expr":{"type":"numeric_atoms","value":1325,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1192,"base":16},"right_expr":{"type":"numeric_atoms","value":1382,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1476,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7624,"base":16},"right_expr":{"type":"numeric_atoms","value":3824,"base":16}}}}},"used_operators":["T2fj7uvVaJ","8HhzD0ZcuI","yyfyN0ffXY","7j4O788W3g","2DlMacCsIx","oacrs7FA3X","nCS4ZIUYfx","srAu1WTS94","Nsiff2A1zJ","2td37pGCOC","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2659","layer":4},{"info":"number node, value=4331","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=4331, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4331","layer":3},{"info":"number node, value=6052","layer":4},{"info":"number node, value=1704","layer":4},{"info":"compute binary expreesion, left_input=6052, right_input=1704, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4331, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"number node, value=6361","layer":4},{"info":"number node, value=1325","layer":4},{"info":"compute binary expreesion, left_input=6361, right_input=1325, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12598","layer":3},{"info":"number node, value=1192","layer":4},{"info":"number node, value=1382","layer":4},{"info":"compute binary expreesion, left_input=1192, right_input=1382, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=190","layer":3},{"info":"compute binary expreesion, left_input=12598, right_input=190, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=1314","layer":1},{"info":"number node, value=1476","layer":4},{"info":"compute unary expreesion, input=1476, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1476","layer":3},{"info":"number node, value=7624","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=7624, right_input=3824, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3351","layer":3},{"info":"compute binary expreesion, left_input=1476, right_input=3351, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1314, 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":"((∃⊬A63↺∃⊬10EB↙(∃⊬17A4⩨∃⊬6A8))⨽(∃⊬18D9⪘⫢∃⊬52D)⪘⫢(∃⊬4A8⨳⩥⨓∃⊬566))⋓(⨵≀≌(⩦⩻⨪∃⊬5C4)⊴(∃⊬1DC8≧⫂∧∃⊬EF0))=NaN","reverse_text":"NaN=((∃⊬A63↺∃⊬10EB↙(∃⊬17A4⩨∃⊬6A8))⨽(∃⊬18D9⪘⫢∃⊬52D)⪘⫢(∃⊬4A8⨳⩥⨓∃⊬566))⋓(⨵≀≌(⩦⩻⨪∃⊬5C4)⊴(∃⊬1DC8≧⫂∧∃⊬EF0))","cot":[{"info":"∃⊬A63↺∃⊬10EB=∃⊬10EB","layer":3},{"info":"∃⊬17A4⩨∃⊬6A8=∃⊬0","layer":3},{"info":"∃⊬10EB↙∃⊬0=∃⊬0","layer":2},{"info":"∃⊬18D9⪘⫢∃⊬52D=∃⊬3136","layer":3},{"info":"∃⊬4A8⨳⩥⨓∃⊬566=∃⊬BE","layer":3},{"info":"∃⊬3136⪘⫢∃⊬BE=∃⊬0","layer":2},{"info":"∃⊬0⨽∃⊬0=∃⊬522","layer":1},{"info":"⩦⩻⨪∃⊬5C4=∃⊬5C4","layer":3},{"info":"∃⊬1DC8≧⫂∧∃⊬EF0=∃⊬D17","layer":3},{"info":"∃⊬5C4⊴∃⊬D17=NaN","layer":2},{"info":"⨵≀≌NaN=NaN","layer":1},{"info":"∃⊬522⋓NaN=NaN","layer":0}]}
{"id":493,"expression_no_base_symbol":"(($4413$-$1505$)≧⫂∧($2148$↺$2175$)-($3362$⩨$2110$)⫸⊐$2359$⋓$1771$)⩤","expression":"((∃⊬113D-∃⊬5E1)≧⫂∧(∃⊬864↺∃⊬87F)-(∃⊬D22⩨∃⊬83E)⫸⊐∃⊬937⋓∃⊬6EB)⩤","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27,"operation_count":8,"complexity_ratio":3.375,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4413,"base":16},"right_expr":{"type":"numeric_atoms","value":1505,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2148,"base":16},"right_expr":{"type":"numeric_atoms","value":2175,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3362,"base":16},"right_expr":{"type":"numeric_atoms","value":2110,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2359,"base":16},"right_expr":{"type":"numeric_atoms","value":1771,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","rysDP5nf3Z","Ph9nP6C5qx","7j4O788W3g","mqXw5SEYmG","2DlMacCsIx","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-6A6","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4413","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=4413, right_input=1505, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2908","layer":3},{"info":"number node, value=2148","layer":4},{"info":"number node, value=2175","layer":4},{"info":"compute binary expreesion, left_input=2148, right_input=2175, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2175","layer":3},{"info":"compute binary expreesion, left_input=2908, right_input=2175, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1702","layer":2},{"info":"number node, value=3362","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=3362, right_input=2110, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=1771, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1702, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1702","layer":1},{"info":"compute unary expreesion, input=1702, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1702","layer":0}],"base":16,"result_base":16,"text":"((∃⊬113D-∃⊬5E1)≧⫂∧(∃⊬864↺∃⊬87F)-(∃⊬D22⩨∃⊬83E)⫸⊐∃⊬937⋓∃⊬6EB)⩤=∃⊬-6A6","reverse_text":"∃⊬-6A6=((∃⊬113D-∃⊬5E1)≧⫂∧(∃⊬864↺∃⊬87F)-(∃⊬D22⩨∃⊬83E)⫸⊐∃⊬937⋓∃⊬6EB)⩤","cot":[{"info":"∃⊬113D-∃⊬5E1=∃⊬B5C","layer":3},{"info":"∃⊬864↺∃⊬87F=∃⊬87F","layer":3},{"info":"∃⊬B5C≧⫂∧∃⊬87F=∃⊬6A6","layer":2},{"info":"∃⊬D22⩨∃⊬83E=∃⊬0","layer":3},{"info":"∃⊬937⋓∃⊬6EB=∃⊬0","layer":3},{"info":"∃⊬0⫸⊐∃⊬0=∃⊬0","layer":2},{"info":"∃⊬6A6-∃⊬0=∃⊬6A6","layer":1},{"info":"∃⊬6A6⩤=∃⊬-6A6","layer":0}]}
{"id":494,"expression_no_base_symbol":"(($3035$⨸⪁$4910$)⋥≓≎(⨈⫕$6405$))⋝⋈⪟(-$1138$⨪↰⇹$1114$)⫩⊇","expression":"((∃⊬BDB⨸⪁∃⊬132E)⋥≓≎(⨈⫕∃⊬1905))⋝⋈⪟(-∃⊬472⨪↰⇹∃⊬45A)⫩⊇","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1537,"operation_count":7,"complexity_ratio":219.57142857142858,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3035,"base":16},"right_expr":{"type":"numeric_atoms","value":4910,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6405,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1138,"base":16},"right_expr":{"type":"numeric_atoms","value":1114,"base":16}}}}},"used_operators":["BjRHVeLaeN","2DDjHMKMc0","Qy55tPpLXF","g55IO6H4Gj","megm06wKyl","t8gj7n24qd","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rJVOvQCfKK"],"result":"∃⊬3E45","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3035","layer":4},{"info":"number node, value=4910","layer":4},{"info":"compute binary expreesion, left_input=3035, right_input=4910, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=15890","layer":3},{"info":"number node, value=6405","layer":4},{"info":"compute unary expreesion, input=6405, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=15890, right_input=-21, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-15899","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=1114, 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=1138","layer":3},{"info":"compute unary expreesion, input=1138, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1138","layer":2},{"info":"compute binary expreesion, left_input=-15899, right_input=-1138, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-15899","layer":1},{"info":"compute unary expreesion, input=-15899, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=15941","layer":0}],"base":16,"result_base":16,"text":"((∃⊬BDB⨸⪁∃⊬132E)⋥≓≎(⨈⫕∃⊬1905))⋝⋈⪟(-∃⊬472⨪↰⇹∃⊬45A)⫩⊇=∃⊬3E45","reverse_text":"∃⊬3E45=((∃⊬BDB⨸⪁∃⊬132E)⋥≓≎(⨈⫕∃⊬1905))⋝⋈⪟(-∃⊬472⨪↰⇹∃⊬45A)⫩⊇","cot":[{"info":"∃⊬BDB⨸⪁∃⊬132E=∃⊬3E12","layer":3},{"info":"⨈⫕∃⊬1905=∃⊬-15","layer":3},{"info":"∃⊬3E12⋥≓≎∃⊬-15=∃⊬-3E1B","layer":2},{"info":"∃⊬472⨪↰⇹∃⊬45A=∃⊬472","layer":3},{"info":"-∃⊬472=∃⊬-472","layer":2},{"info":"∃⊬-3E1B⋝⋈⪟∃⊬-472=∃⊬-3E1B","layer":1},{"info":"∃⊬-3E1B⫩⊇=∃⊬3E45","layer":0}]}
{"id":495,"expression_no_base_symbol":"(($1014$⫥∨⫟$4947$)⇷(∂$6395$))∀⇚≩((+⊝⨔$1892$)∑⇟⊟($8266$⫡⨏$8233$))∑⇟⊟((($1565$≋⫹)⨎($5352$⩨$1560$))≧⫂∧(⋗⩬⋾($3653$⨳⩥⨓$1323$)))","expression":"((∃⊬3F6⫥∨⫟∃⊬1353)⇷(∂∃⊬18FB))∀⇚≩((+⊝⨔∃⊬764)∑⇟⊟(∃⊬204A⫡⨏∃⊬2029))∑⇟⊟(((∃⊬61D≋⫹)⨎(∃⊬14E8⩨∃⊬618))≧⫂∧(⋗⩬⋾(∃⊬E45⨳⩥⨓∃⊬52B)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":227,"operation_count":14,"complexity_ratio":16.214285714285715,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1014,"base":16},"right_expr":{"type":"numeric_atoms","value":4947,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6395,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1892,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8266,"base":16},"right_expr":{"type":"numeric_atoms","value":8233,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1565,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5352,"base":16},"right_expr":{"type":"numeric_atoms","value":1560,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3653,"base":16},"right_expr":{"type":"numeric_atoms","value":1323,"base":16}}}}},"used_operators":["U7g4x0WXJJ","LRNGc0VcxI","mp7IySMOzn","KYD54nUTWz","Uaa54Peajs","DhbWaqg5eL","QMFrweE19q","Ph9nP6C5qx","rJVOvQCfKK","N41Kp7NANJ","2DlMacCsIx","DpFCA1CohY","nCS4ZIUYfx"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","X99M06cbEe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=4947, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6395","layer":4},{"info":"compute unary expreesion, input=6395, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1892","layer":4},{"info":"compute unary expreesion, input=1892, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=8266","layer":4},{"info":"number node, value=8233","layer":4},{"info":"compute binary expreesion, left_input=8266, right_input=8233, 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=58579","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=58579, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1565","layer":4},{"info":"compute unary expreesion, input=1565, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3130","layer":3},{"info":"number node, value=5352","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=5352, right_input=1560, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3130, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=3653","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=3653, right_input=1323, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2330","layer":3},{"info":"compute unary expreesion, input=-2330, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=6990","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6990, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6517","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6517, 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":"((∃⊬3F6⫥∨⫟∃⊬1353)⇷(∂∃⊬18FB))∀⇚≩((+⊝⨔∃⊬764)∑⇟⊟(∃⊬204A⫡⨏∃⊬2029))∑⇟⊟(((∃⊬61D≋⫹)⨎(∃⊬14E8⩨∃⊬618))≧⫂∧(⋗⩬⋾(∃⊬E45⨳⩥⨓∃⊬52B)))=NaN","reverse_text":"NaN=((∃⊬3F6⫥∨⫟∃⊬1353)⇷(∂∃⊬18FB))∀⇚≩((+⊝⨔∃⊬764)∑⇟⊟(∃⊬204A⫡⨏∃⊬2029))∑⇟⊟(((∃⊬61D≋⫹)⨎(∃⊬14E8⩨∃⊬618))≧⫂∧(⋗⩬⋾(∃⊬E45⨳⩥⨓∃⊬52B)))","cot":[{"info":"∃⊬3F6⫥∨⫟∃⊬1353=NaN","layer":3},{"info":"∂∃⊬18FB=NaN","layer":3},{"info":"NaN⇷NaN=NaN","layer":2},{"info":"+⊝⨔∃⊬764=∃⊬5F2","layer":3},{"info":"∃⊬204A⫡⨏∃⊬2029=∃⊬E4D3","layer":3},{"info":"∃⊬5F2∑⇟⊟∃⊬E4D3=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬61D≋⫹=∃⊬-C3A","layer":3},{"info":"∃⊬14E8⩨∃⊬618=∃⊬0","layer":3},{"info":"∃⊬-C3A⨎∃⊬0=∃⊬0","layer":2},{"info":"∃⊬E45⨳⩥⨓∃⊬52B=∃⊬-91A","layer":3},{"info":"⋗⩬⋾∃⊬-91A=∃⊬1B4E","layer":2},{"info":"∃⊬0≧⫂∧∃⊬1B4E=∃⊬1975","layer":1},{"info":"NaN∑⇟⊟∃⊬1975=NaN","layer":0}]}
{"id":496,"expression_no_base_symbol":"((↔(-$2772$))⨎(($3203$+$3060$)⊉≛↸(∂$2786$)))∼((⪝⪂⫅(⪝⪂⫅$7157$))⋥≓≎($7504$↺$1745$)⋥≓≎($3479$⊭↱$3869$))","expression":"((↔(-∃⊬AD4))⨎((∃⊬C83+∃⊬BF4)⊉≛↸(∂∃⊬AE2)))∼((⪝⪂⫅(⪝⪂⫅∃⊬1BF5))⋥≓≎(∃⊬1D50↺∃⊬6D1)⋥≓≎(∃⊬D97⊭↱∃⊬F1D))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":591,"operation_count":13,"complexity_ratio":45.46153846153846,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2772,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3203,"base":16},"right_expr":{"type":"numeric_atoms","value":3060,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2786,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":7157,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":7504,"base":16},"right_expr":{"type":"numeric_atoms","value":1745,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3479,"base":16},"right_expr":{"type":"numeric_atoms","value":3869,"base":16}}}}},"used_operators":["DyGG3AbaNP","rJVOvQCfKK","ruOEQAzv1W","t8gj7n24qd","DZ8iAZOCBD","W4YGzv6Whe","Uaa54Peajs","Qy55tPpLXF","XTarYq4gQB","7j4O788W3g","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2772","layer":4},{"info":"compute unary expreesion, input=2772, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2772","layer":3},{"info":"compute unary expreesion, input=-2772, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"number node, value=3203","layer":4},{"info":"number node, value=3060","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=3060, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6263","layer":3},{"info":"number node, value=2786","layer":4},{"info":"compute unary expreesion, input=2786, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6263, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12526","layer":2},{"info":"compute binary expreesion, left_input=-134, right_input=12526, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=12526","layer":1},{"info":"number node, value=7157","layer":4},{"info":"compute unary expreesion, input=7157, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1052079","layer":3},{"info":"compute unary expreesion, input=-1052079, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=154655613","layer":2},{"info":"number node, value=7504","layer":4},{"info":"number node, value=1745","layer":4},{"info":"compute binary expreesion, left_input=7504, right_input=1745, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1745","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=3869","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=3869, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=785","layer":3},{"info":"compute binary expreesion, left_input=1745, right_input=785, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-142","layer":2},{"info":"compute binary expreesion, left_input=154655613, right_input=-142, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-154655864","layer":1},{"info":"compute binary expreesion, left_input=12526, right_input=-154655864, 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":"((↔(-∃⊬AD4))⨎((∃⊬C83+∃⊬BF4)⊉≛↸(∂∃⊬AE2)))∼((⪝⪂⫅(⪝⪂⫅∃⊬1BF5))⋥≓≎(∃⊬1D50↺∃⊬6D1)⋥≓≎(∃⊬D97⊭↱∃⊬F1D))=NaN","reverse_text":"NaN=((↔(-∃⊬AD4))⨎((∃⊬C83+∃⊬BF4)⊉≛↸(∂∃⊬AE2)))∼((⪝⪂⫅(⪝⪂⫅∃⊬1BF5))⋥≓≎(∃⊬1D50↺∃⊬6D1)⋥≓≎(∃⊬D97⊭↱∃⊬F1D))","cot":[{"info":"-∃⊬AD4=∃⊬-AD4","layer":3},{"info":"↔∃⊬-AD4=∃⊬-86","layer":2},{"info":"∃⊬C83+∃⊬BF4=∃⊬1877","layer":3},{"info":"∂∃⊬AE2=NaN","layer":3},{"info":"∃⊬1877⊉≛↸NaN=∃⊬30EE","layer":2},{"info":"∃⊬-86⨎∃⊬30EE=∃⊬30EE","layer":1},{"info":"⪝⪂⫅∃⊬1BF5=∃⊬-100DAF","layer":3},{"info":"⪝⪂⫅∃⊬-100DAF=∃⊬937DB7D","layer":2},{"info":"∃⊬1D50↺∃⊬6D1=∃⊬6D1","layer":3},{"info":"∃⊬D97⊭↱∃⊬F1D=∃⊬311","layer":3},{"info":"∃⊬6D1⋥≓≎∃⊬311=∃⊬-8E","layer":2},{"info":"∃⊬937DB7D⋥≓≎∃⊬-8E=∃⊬-937DC78","layer":1},{"info":"∃⊬30EE∼∃⊬-937DC78=NaN","layer":0}]}
{"id":497,"expression_no_base_symbol":"⊥(↥($4633$⊭↱$6783$)⪘⫢(⊙↵-$4866$))","expression":"⊥(↥(∃⊬1219⊭↱∃⊬1A7F)⪘⫢(⊙↵-∃⊬1302))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":4929,"operation_count":5,"complexity_ratio":985.8,"tree":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4633,"base":16},"right_expr":{"type":"numeric_atoms","value":6783,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":4866,"base":16}}}}},"used_operators":["Q3PJZHRvZv","A8NUZmVepG","oacrs7FA3X","COABgblf1C","oWn0xqSxBt"],"dependent_operators":["fu6greOZ01","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","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=4633","layer":4},{"info":"number node, value=6783","layer":4},{"info":"compute binary expreesion, left_input=4633, right_input=6783, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4305","layer":3},{"info":"number node, value=4866","layer":4},{"info":"compute unary expreesion, input=4866, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=4305, right_input=-1, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":"⊥(↥(∃⊬1219⊭↱∃⊬1A7F)⪘⫢(⊙↵-∃⊬1302))=∃⊬0","reverse_text":"∃⊬0=⊥(↥(∃⊬1219⊭↱∃⊬1A7F)⪘⫢(⊙↵-∃⊬1302))","cot":[{"info":"∃⊬1219⊭↱∃⊬1A7F=∃⊬10D1","layer":3},{"info":"⊙↵-∃⊬1302=∃⊬-1","layer":3},{"info":"∃⊬10D1⪘⫢∃⊬-1=∃⊬0","layer":2},{"info":"↥∃⊬0=∃⊬0","layer":1},{"info":"⊥∃⊬0=∃⊬0","layer":0}]}
{"id":498,"expression_no_base_symbol":"(($5842$⋝⋈⪟$1078$)↬(↽≂$2107$)⨽(($6119$≫≃)⋷(⊄⩳↩$2039$)))⨁⊸⫻","expression":"((∃⊬16D2⋝⋈⪟∃⊬436)↬(↽≂∃⊬83B)⨽((∃⊬17E7≫≃)⋷(⊄⩳↩∃⊬7F7)))⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31,"operation_count":8,"complexity_ratio":3.875,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5842,"base":16},"right_expr":{"type":"numeric_atoms","value":1078,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2107,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":6119,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2039,"base":16}}}}},"used_operators":["glklzrTFfD","8HhzD0ZcuI","B5M0gjZbta","2DDjHMKMc0","u6S6b8DprG","23Mk6UjR3U","X99M06cbEe","8w2t5hMYqp"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5842","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=5842, right_input=1078, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5842","layer":3},{"info":"number node, value=2107","layer":4},{"info":"compute unary expreesion, input=2107, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4214","layer":3},{"info":"compute binary expreesion, left_input=5842, right_input=-4214, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6119","layer":4},{"info":"compute unary expreesion, input=6119, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13639","layer":3},{"info":"number node, value=2039","layer":4},{"info":"compute unary expreesion, input=2039, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-6117","layer":3},{"info":"compute binary expreesion, left_input=13639, right_input=-6117, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-25873","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-25873, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬16D2⋝⋈⪟∃⊬436)↬(↽≂∃⊬83B)⨽((∃⊬17E7≫≃)⋷(⊄⩳↩∃⊬7F7)))⨁⊸⫻=NaN","reverse_text":"NaN=((∃⊬16D2⋝⋈⪟∃⊬436)↬(↽≂∃⊬83B)⨽((∃⊬17E7≫≃)⋷(⊄⩳↩∃⊬7F7)))⨁⊸⫻","cot":[{"info":"∃⊬16D2⋝⋈⪟∃⊬436=∃⊬16D2","layer":3},{"info":"↽≂∃⊬83B=∃⊬-1076","layer":3},{"info":"∃⊬16D2↬∃⊬-1076=NaN","layer":2},{"info":"∃⊬17E7≫≃=∃⊬3547","layer":3},{"info":"⊄⩳↩∃⊬7F7=∃⊬-17E5","layer":3},{"info":"∃⊬3547⋷∃⊬-17E5=∃⊬-6511","layer":2},{"info":"NaN⨽∃⊬-6511=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":499,"expression_no_base_symbol":"(↣≠⋷($4230$⇋≉))⪛(($1529$⋥≓≎$3430$)∸)⫸⊐(⪝⪂⫅(($1631$%$4562$)+⇶⊼$3178$⊴$1945$))","expression":"(↣≠⋷(∃⊬1086⇋≉))⪛((∃⊬5F9⋥≓≎∃⊬D66)∸)⫸⊐(⪝⪂⫅((∃⊬65F%∃⊬11D2)+⇶⊼∃⊬C6A⊴∃⊬799))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4680,"operation_count":10,"complexity_ratio":468.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4230,"base":16}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1529,"base":16},"right_expr":{"type":"numeric_atoms","value":3430,"base":16}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1631,"base":16},"right_expr":{"type":"numeric_atoms","value":4562,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3178,"base":16},"right_expr":{"type":"numeric_atoms","value":1945,"base":16}}}}},"used_operators":["mqXw5SEYmG","uFcxV4UQCh","Asc51vEJeQ","XIabStNQrY","o20kRiQErp","Qy55tPpLXF","XTarYq4gQB","TpPTUOHfaN","k8jYdgA6NY","Nsiff2A1zJ"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4230","layer":4},{"info":"compute unary expreesion, input=4230, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=8362","layer":3},{"info":"compute unary expreesion, input=8362, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=1529","layer":4},{"info":"number node, value=3430","layer":4},{"info":"compute binary expreesion, left_input=1529, right_input=3430, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5364","layer":3},{"info":"compute unary expreesion, input=5364, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1631","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1631, right_input=4562, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1631","layer":3},{"info":"number node, value=3178","layer":4},{"info":"number node, value=1945","layer":4},{"info":"compute binary expreesion, left_input=3178, right_input=1945, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1631, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', 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":"(↣≠⋷(∃⊬1086⇋≉))⪛((∃⊬5F9⋥≓≎∃⊬D66)∸)⫸⊐(⪝⪂⫅((∃⊬65F%∃⊬11D2)+⇶⊼∃⊬C6A⊴∃⊬799))=NaN","reverse_text":"NaN=(↣≠⋷(∃⊬1086⇋≉))⪛((∃⊬5F9⋥≓≎∃⊬D66)∸)⫸⊐(⪝⪂⫅((∃⊬65F%∃⊬11D2)+⇶⊼∃⊬C6A⊴∃⊬799))","cot":[{"info":"∃⊬1086⇋≉=∃⊬20AA","layer":3},{"info":"↣≠⋷∃⊬20AA=NaN","layer":2},{"info":"∃⊬5F9⋥≓≎∃⊬D66=∃⊬14F4","layer":3},{"info":"∃⊬14F4∸=∃⊬B1","layer":2},{"info":"NaN⪛∃⊬B1=NaN","layer":1},{"info":"∃⊬65F%∃⊬11D2=∃⊬65F","layer":3},{"info":"∃⊬C6A⊴∃⊬799=NaN","layer":3},{"info":"∃⊬65F+⇶⊼NaN=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":500,"expression_no_base_symbol":"(-$2413$⊭↱$1911$)≭((⨵≀≌$5063$)⫌⩹⨱)⊠≄⫣","expression":"(-∃⊬96D⊭↱∃⊬777)≭((⨵≀≌∃⊬13C7)⫌⩹⨱)⊠≄⫣","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":21,"operation_count":6,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2413,"base":16},"right_expr":{"type":"numeric_atoms","value":1911,"base":16}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5063,"base":16}}}}},"used_operators":["DIvbN7qnHd","rxpJgHHUmx","t8gj7n24qd","COABgblf1C","EBcxylXtPf","srAu1WTS94"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2413","layer":4},{"info":"number node, value=1911","layer":4},{"info":"compute binary expreesion, left_input=2413, right_input=1911, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-999","layer":3},{"info":"compute unary expreesion, input=-999, op_id = t8gj7n24qd, unary_op_definition = 'None', output=999","layer":2},{"info":"number node, value=5063","layer":4},{"info":"compute unary expreesion, input=5063, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-15189","layer":3},{"info":"compute unary expreesion, input=-15189, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-28977","layer":2},{"info":"compute binary expreesion, left_input=999, right_input=-28977, 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 = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬96D⊭↱∃⊬777)≭((⨵≀≌∃⊬13C7)⫌⩹⨱)⊠≄⫣=NaN","reverse_text":"NaN=(-∃⊬96D⊭↱∃⊬777)≭((⨵≀≌∃⊬13C7)⫌⩹⨱)⊠≄⫣","cot":[{"info":"∃⊬96D⊭↱∃⊬777=∃⊬-3E7","layer":3},{"info":"-∃⊬-3E7=∃⊬3E7","layer":2},{"info":"⨵≀≌∃⊬13C7=∃⊬-3B55","layer":3},{"info":"∃⊬-3B55⫌⩹⨱=∃⊬-7131","layer":2},{"info":"∃⊬3E7≭∃⊬-7131=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":501,"expression_no_base_symbol":"((∥⊫$2976$)%($5871$⋷$5333$))⨓($1007$∑⇟⊟$4817$)∀⇚≩($2119$∲⫓$1314$)+⇶⊼(⪲⇎($5404$⨪↰⇹$1042$⋷($1319$⊪)))","expression":"((∥⊫∃⊬BA0)%(∃⊬16EF⋷∃⊬14D5))⨓(∃⊬3EF∑⇟⊟∃⊬12D1)∀⇚≩(∃⊬847∲⫓∃⊬522)+⇶⊼(⪲⇎(∃⊬151C⨪↰⇹∃⊬412⋷(∃⊬527⊪)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5462,"operation_count":12,"complexity_ratio":455.1666666666667,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2976,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5871,"base":16},"right_expr":{"type":"numeric_atoms","value":5333,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":4817,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2119,"base":16},"right_expr":{"type":"numeric_atoms","value":1314,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5404,"base":16},"right_expr":{"type":"numeric_atoms","value":1042,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1319,"base":16}}}}},"used_operators":["TpPTUOHfaN","3ViojmjbAp","k8jYdgA6NY","P8v4zCKN1o","23Mk6UjR3U","LRNGc0VcxI","U7g4x0WXJJ","i8ToyICDmI","XPYlsWDdGa","tmPS8pqC7x","zVYPLywUTj"],"dependent_operators":["AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2976","layer":4},{"info":"compute unary expreesion, input=2976, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3844","layer":3},{"info":"number node, value=5871","layer":4},{"info":"number node, value=5333","layer":4},{"info":"compute binary expreesion, left_input=5871, right_input=5333, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4795","layer":3},{"info":"compute binary expreesion, left_input=3844, right_input=4795, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3844","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=4817","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=4817, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2119","layer":4},{"info":"number node, value=1314","layer":4},{"info":"compute binary expreesion, left_input=2119, right_input=1314, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3844, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=5404","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=5404, right_input=1042, 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=5404","layer":3},{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5404, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-5404","layer":2},{"info":"compute unary expreesion, input=-5404, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-10808","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-10808, 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":"((∥⊫∃⊬BA0)%(∃⊬16EF⋷∃⊬14D5))⨓(∃⊬3EF∑⇟⊟∃⊬12D1)∀⇚≩(∃⊬847∲⫓∃⊬522)+⇶⊼(⪲⇎(∃⊬151C⨪↰⇹∃⊬412⋷(∃⊬527⊪)))=NaN","reverse_text":"NaN=((∥⊫∃⊬BA0)%(∃⊬16EF⋷∃⊬14D5))⨓(∃⊬3EF∑⇟⊟∃⊬12D1)∀⇚≩(∃⊬847∲⫓∃⊬522)+⇶⊼(⪲⇎(∃⊬151C⨪↰⇹∃⊬412⋷(∃⊬527⊪)))","cot":[{"info":"∥⊫∃⊬BA0=∃⊬F04","layer":3},{"info":"∃⊬16EF⋷∃⊬14D5=∃⊬12BB","layer":3},{"info":"∃⊬F04%∃⊬12BB=∃⊬F04","layer":2},{"info":"∃⊬3EF∑⇟⊟∃⊬12D1=NaN","layer":3},{"info":"∃⊬847∲⫓∃⊬522=∃⊬0","layer":3},{"info":"NaN∀⇚≩∃⊬0=NaN","layer":2},{"info":"∃⊬F04⨓NaN=NaN","layer":1},{"info":"∃⊬151C⨪↰⇹∃⊬412=∃⊬151C","layer":3},{"info":"∃⊬527⊪=∃⊬0","layer":3},{"info":"∃⊬151C⋷∃⊬0=∃⊬-151C","layer":2},{"info":"⪲⇎∃⊬-151C=∃⊬-2A38","layer":1},{"info":"NaN+⇶⊼∃⊬-2A38=NaN","layer":0}]}
{"id":502,"expression_no_base_symbol":"(≦∁($1621$⨪↰⇹$3918$⨵⪆$1294$⫥∨⫟$4210$))⇷(((⇁⨣⪵$2062$)↛⩡⫤)≭(($2073$⪒$3780$)≋⫹))","expression":"(≦∁(∃⊬655⨪↰⇹∃⊬F4E⨵⪆∃⊬50E⫥∨⫟∃⊬1072))⇷(((⇁⨣⪵∃⊬80E)↛⩡⫤)≭((∃⊬819⪒∃⊬EC4)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":33237,"operation_count":10,"complexity_ratio":3323.7,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1621,"base":16},"right_expr":{"type":"numeric_atoms","value":3918,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1294,"base":16},"right_expr":{"type":"numeric_atoms","value":4210,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2062,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2073,"base":16},"right_expr":{"type":"numeric_atoms","value":3780,"base":16}}}}},"used_operators":["mp7IySMOzn","9ICcGScMcE","2DQ55sFlQl","tmPS8pqC7x","KYD54nUTWz","rxpJgHHUmx","FU0Cs4j7VP","inkyxCbjAn","N41Kp7NANJ","f6k1SAg4EE"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1621","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=3918, 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=1621","layer":3},{"info":"number node, value=1294","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=1294, right_input=4210, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1621, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=-2240","layer":1},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"number node, value=2073","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=2073, right_input=3780, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5853","layer":3},{"info":"compute unary expreesion, input=-5853, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=11706","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11706, 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=-2240, 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":"(≦∁(∃⊬655⨪↰⇹∃⊬F4E⨵⪆∃⊬50E⫥∨⫟∃⊬1072))⇷(((⇁⨣⪵∃⊬80E)↛⩡⫤)≭((∃⊬819⪒∃⊬EC4)≋⫹))=NaN","reverse_text":"NaN=(≦∁(∃⊬655⨪↰⇹∃⊬F4E⨵⪆∃⊬50E⫥∨⫟∃⊬1072))⇷(((⇁⨣⪵∃⊬80E)↛⩡⫤)≭((∃⊬819⪒∃⊬EC4)≋⫹))","cot":[{"info":"∃⊬655⨪↰⇹∃⊬F4E=∃⊬655","layer":3},{"info":"∃⊬50E⫥∨⫟∃⊬1072=NaN","layer":3},{"info":"∃⊬655⨵⪆NaN=∃⊬A0","layer":2},{"info":"≦∁∃⊬A0=∃⊬-8C0","layer":1},{"info":"⇁⨣⪵∃⊬80E=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"∃⊬819⪒∃⊬EC4=∃⊬-16DD","layer":3},{"info":"∃⊬-16DD≋⫹=∃⊬2DBA","layer":2},{"info":"NaN≭∃⊬2DBA=NaN","layer":1},{"info":"∃⊬-8C0⇷NaN=NaN","layer":0}]}
{"id":503,"expression_no_base_symbol":"($4947$⇷$1235$+⇶⊼(↩$4540$)%((≉$2323$)+($1688$⋷$8170$)))⪮%⊝((↯⪼($1028$∧))⋝⋈⪟(⫓⪴$1030$)⪮%⊝(⩦⩻⨪$3361$))","expression":"(∃⊬1353⇷∃⊬4D3+⇶⊼(↩∃⊬11BC)%((≉∃⊬913)+(∃⊬698⋷∃⊬1FEA)))⪮%⊝((↯⪼(∃⊬404∧))⋝⋈⪟(⫓⪴∃⊬406)⪮%⊝(⩦⩻⨪∃⊬D21))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":70379,"operation_count":14,"complexity_ratio":5027.071428571428,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4947,"base":16},"right_expr":{"type":"numeric_atoms","value":1235,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4540,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2323,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1688,"base":16},"right_expr":{"type":"numeric_atoms","value":8170,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1028,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1030,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3361,"base":16}}}}},"used_operators":["IWmyXbctLI","k8jYdgA6NY","TpPTUOHfaN","mp7IySMOzn","jLgFTUHLKL","W4YGzv6Whe","e1ybzncUwg","23Mk6UjR3U","2DDjHMKMc0","8jW3W4yZS5","z63VuFQld9","eLxqMNBOBk","2td37pGCOC"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4947","layer":4},{"info":"number node, value=1235","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=1235, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2470","layer":3},{"info":"number node, value=4540","layer":4},{"info":"compute unary expreesion, input=4540, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-33540","layer":3},{"info":"compute binary expreesion, left_input=2470, right_input=-33540, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2323","layer":4},{"info":"compute unary expreesion, input=2323, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2854","layer":3},{"info":"number node, value=1688","layer":4},{"info":"number node, value=8170","layer":4},{"info":"compute binary expreesion, left_input=1688, right_input=8170, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=14652","layer":3},{"info":"compute binary expreesion, left_input=2854, right_input=14652, op_id = W4YGzv6Whe binary_op_definition= 'None', output=17506","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17506, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1060900","layer":3},{"info":"number node, value=3361","layer":4},{"info":"compute unary expreesion, input=3361, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3361","layer":3},{"info":"compute binary expreesion, left_input=1060900, right_input=3361, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2122116","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=2122116, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-21","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1353⇷∃⊬4D3+⇶⊼(↩∃⊬11BC)%((≉∃⊬913)+(∃⊬698⋷∃⊬1FEA)))⪮%⊝((↯⪼(∃⊬404∧))⋝⋈⪟(⫓⪴∃⊬406)⪮%⊝(⩦⩻⨪∃⊬D21))=NaN","reverse_text":"NaN=(∃⊬1353⇷∃⊬4D3+⇶⊼(↩∃⊬11BC)%((≉∃⊬913)+(∃⊬698⋷∃⊬1FEA)))⪮%⊝((↯⪼(∃⊬404∧))⋝⋈⪟(⫓⪴∃⊬406)⪮%⊝(⩦⩻⨪∃⊬D21))","cot":[{"info":"∃⊬1353⇷∃⊬4D3=∃⊬9A6","layer":3},{"info":"↩∃⊬11BC=∃⊬-8304","layer":3},{"info":"∃⊬9A6+⇶⊼∃⊬-8304=NaN","layer":2},{"info":"≉∃⊬913=∃⊬B26","layer":3},{"info":"∃⊬698⋷∃⊬1FEA=∃⊬393C","layer":3},{"info":"∃⊬B26+∃⊬393C=∃⊬4462","layer":2},{"info":"NaN%∃⊬4462=NaN","layer":1},{"info":"∃⊬404∧=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"⫓⪴∃⊬406=∃⊬103024","layer":3},{"info":"⩦⩻⨪∃⊬D21=∃⊬D21","layer":3},{"info":"∃⊬103024⪮%⊝∃⊬D21=∃⊬206184","layer":2},{"info":"∃⊬-15⋝⋈⪟∃⊬206184=∃⊬-15","layer":1},{"info":"NaN⪮%⊝∃⊬-15=NaN","layer":0}]}
{"id":504,"expression_no_base_symbol":"(↥(-$1518$)⨓($1372$⊭↱$4882$))⪮%⊝((($1028$⊠≄⫣)⋫)⩷∴(($2054$⫡⨏$1970$)⋥≓≎$2606$⨓$5058$))","expression":"(↥(-∃⊬5EE)⨓(∃⊬55C⊭↱∃⊬1312))⪮%⊝(((∃⊬404⊠≄⫣)⋫)⩷∴((∃⊬806⫡⨏∃⊬7B2)⋥≓≎∃⊬A2E⨓∃⊬13C2))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12269,"operation_count":11,"complexity_ratio":1115.3636363636363,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1518,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1372,"base":16},"right_expr":{"type":"numeric_atoms","value":4882,"base":16}}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1028,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2054,"base":16},"right_expr":{"type":"numeric_atoms","value":1970,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2606,"base":16},"right_expr":{"type":"numeric_atoms","value":5058,"base":16}}}}},"used_operators":["IWmyXbctLI","A8NUZmVepG","3ViojmjbAp","t8gj7n24qd","COABgblf1C","9FxExcQeMw","JL8yIekQnl","DIvbN7qnHd","Qy55tPpLXF","QMFrweE19q"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬150","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1518","layer":4},{"info":"compute unary expreesion, input=1518, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1518","layer":3},{"info":"number node, value=1372","layer":4},{"info":"number node, value=4882","layer":4},{"info":"compute binary expreesion, left_input=1372, right_input=4882, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=7025","layer":3},{"info":"compute binary expreesion, left_input=-1518, right_input=7025, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7028","layer":2},{"info":"compute unary expreesion, input=-7028, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=10","layer":1},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"number node, value=2054","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=2054, right_input=1970, 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=14993","layer":3},{"info":"number node, value=2606","layer":4},{"info":"number node, value=5058","layer":4},{"info":"compute binary expreesion, left_input=2606, right_input=5058, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5061","layer":3},{"info":"compute binary expreesion, left_input=14993, right_input=-5061, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-25082","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-25082, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=50132","layer":1},{"info":"compute binary expreesion, left_input=10, right_input=50132, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=336","layer":0}],"base":16,"result_base":16,"text":"(↥(-∃⊬5EE)⨓(∃⊬55C⊭↱∃⊬1312))⪮%⊝(((∃⊬404⊠≄⫣)⋫)⩷∴((∃⊬806⫡⨏∃⊬7B2)⋥≓≎∃⊬A2E⨓∃⊬13C2))=∃⊬150","reverse_text":"∃⊬150=(↥(-∃⊬5EE)⨓(∃⊬55C⊭↱∃⊬1312))⪮%⊝(((∃⊬404⊠≄⫣)⋫)⩷∴((∃⊬806⫡⨏∃⊬7B2)⋥≓≎∃⊬A2E⨓∃⊬13C2))","cot":[{"info":"-∃⊬5EE=∃⊬-5EE","layer":3},{"info":"∃⊬55C⊭↱∃⊬1312=∃⊬1B71","layer":3},{"info":"∃⊬-5EE⨓∃⊬1B71=∃⊬-1B74","layer":2},{"info":"↥∃⊬-1B74=∃⊬A","layer":1},{"info":"∃⊬404⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬0⋫=∃⊬0","layer":2},{"info":"∃⊬806⫡⨏∃⊬7B2=∃⊬3A91","layer":3},{"info":"∃⊬A2E⨓∃⊬13C2=∃⊬-13C5","layer":3},{"info":"∃⊬3A91⋥≓≎∃⊬-13C5=∃⊬-61FA","layer":2},{"info":"∃⊬0⩷∴∃⊬-61FA=∃⊬C3D4","layer":1},{"info":"∃⊬A⪮%⊝∃⊬C3D4=∃⊬150","layer":0}]}
{"id":505,"expression_no_base_symbol":"(($1365$⋝⋈⪟$3280$⊦⊿)⫥∨⫟($1124$⊴$3623$⇼⇔∾(↽≂$2184$)))∀⇚≩((⩦⩻⨪$1397$⇷$2671$)↙($1089$∼$5865$⪐))","expression":"((∃⊬555⋝⋈⪟∃⊬CD0⊦⊿)⫥∨⫟(∃⊬464⊴∃⊬E27⇼⇔∾(↽≂∃⊬888)))∀⇚≩((⩦⩻⨪∃⊬575⇷∃⊬A6F)↙(∃⊬441∼∃⊬16E9⪐))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":23394,"operation_count":12,"complexity_ratio":1949.5,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1365,"base":16},"right_expr":{"type":"numeric_atoms","value":3280,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1124,"base":16},"right_expr":{"type":"numeric_atoms","value":3623,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2184,"base":16}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1397,"base":16},"right_expr":{"type":"numeric_atoms","value":2671,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1089,"base":16},"right_expr":{"type":"numeric_atoms","value":5865,"base":16}}}}},"used_operators":["LRNGc0VcxI","KYD54nUTWz","14qkJME0vr","2DDjHMKMc0","tifHPKVTfV","Nsiff2A1zJ","u6S6b8DprG","yyfyN0ffXY","2td37pGCOC","mp7IySMOzn","eH2TOUuTDT","DyGG3AbaNP"],"dependent_operators":["X99M06cbEe","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1365","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=3280, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1365","layer":3},{"info":"compute unary expreesion, input=1365, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4174","layer":2},{"info":"number node, value=1124","layer":4},{"info":"number node, value=3623","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=3623, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2184","layer":4},{"info":"compute unary expreesion, input=2184, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4368","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4368, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4174, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1397","layer":4},{"info":"number node, value=2671","layer":4},{"info":"compute binary expreesion, left_input=1397, right_input=2671, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5342","layer":3},{"info":"compute unary expreesion, input=5342, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5342","layer":2},{"info":"number node, value=1089","layer":4},{"info":"number node, value=5865","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=5865, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5342, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((∃⊬555⋝⋈⪟∃⊬CD0⊦⊿)⫥∨⫟(∃⊬464⊴∃⊬E27⇼⇔∾(↽≂∃⊬888)))∀⇚≩((⩦⩻⨪∃⊬575⇷∃⊬A6F)↙(∃⊬441∼∃⊬16E9⪐))=NaN","reverse_text":"NaN=((∃⊬555⋝⋈⪟∃⊬CD0⊦⊿)⫥∨⫟(∃⊬464⊴∃⊬E27⇼⇔∾(↽≂∃⊬888)))∀⇚≩((⩦⩻⨪∃⊬575⇷∃⊬A6F)↙(∃⊬441∼∃⊬16E9⪐))","cot":[{"info":"∃⊬555⋝⋈⪟∃⊬CD0=∃⊬555","layer":3},{"info":"∃⊬555⊦⊿=∃⊬-104E","layer":2},{"info":"∃⊬464⊴∃⊬E27=NaN","layer":3},{"info":"↽≂∃⊬888=∃⊬-1110","layer":3},{"info":"NaN⇼⇔∾∃⊬-1110=NaN","layer":2},{"info":"∃⊬-104E⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬575⇷∃⊬A6F=∃⊬14DE","layer":3},{"info":"⩦⩻⨪∃⊬14DE=∃⊬14DE","layer":2},{"info":"∃⊬441∼∃⊬16E9=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"∃⊬14DE↙NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":506,"expression_no_base_symbol":"((≤/$1029$)⊉≛↸($3552$⩨$3238$)%(↩$5147$⪛$2710$))⋓(($3310$⪒$5996$)⪮%⊝(⩦⩻⨪$5234$)⋳⪒($2311$⫥∨⫟$2557$≋⫹))","expression":"((≤/∃⊬405)⊉≛↸(∃⊬DE0⩨∃⊬CA6)%(↩∃⊬141B⪛∃⊬A96))⋓((∃⊬CEE⪒∃⊬176C)⪮%⊝(⩦⩻⨪∃⊬1472)⋳⪒(∃⊬907⫥∨⫟∃⊬9FD≋⫹))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":222,"operation_count":13,"complexity_ratio":17.076923076923077,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1029,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3552,"base":16},"right_expr":{"type":"numeric_atoms","value":3238,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5147,"base":16},"right_expr":{"type":"numeric_atoms","value":2710,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3310,"base":16},"right_expr":{"type":"numeric_atoms","value":5996,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":5234,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2311,"base":16},"right_expr":{"type":"numeric_atoms","value":2557,"base":16}}}}},"used_operators":["T2fj7uvVaJ","k8jYdgA6NY","DZ8iAZOCBD","eLAdDNolq6","2DlMacCsIx","jLgFTUHLKL","uFcxV4UQCh","12rbrZMWeM","IWmyXbctLI","f6k1SAg4EE","2td37pGCOC","N41Kp7NANJ","KYD54nUTWz"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-545","layer":3},{"info":"number node, value=3552","layer":4},{"info":"number node, value=3238","layer":4},{"info":"compute binary expreesion, left_input=3552, right_input=3238, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-545, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"number node, value=5147","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=5147, right_input=2710, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2437","layer":3},{"info":"compute unary expreesion, input=2437, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16716","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-16716, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=3310","layer":4},{"info":"number node, value=5996","layer":4},{"info":"compute binary expreesion, left_input=3310, right_input=5996, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9306","layer":3},{"info":"number node, value=5234","layer":4},{"info":"compute unary expreesion, input=5234, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=5234","layer":3},{"info":"compute binary expreesion, left_input=-9306, right_input=5234, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-18296","layer":2},{"info":"number node, value=2311","layer":4},{"info":"number node, value=2557","layer":4},{"info":"compute binary expreesion, left_input=2311, right_input=2557, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18296, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":"((≤/∃⊬405)⊉≛↸(∃⊬DE0⩨∃⊬CA6)%(↩∃⊬141B⪛∃⊬A96))⋓((∃⊬CEE⪒∃⊬176C)⪮%⊝(⩦⩻⨪∃⊬1472)⋳⪒(∃⊬907⫥∨⫟∃⊬9FD≋⫹))=NaN","reverse_text":"NaN=((≤/∃⊬405)⊉≛↸(∃⊬DE0⩨∃⊬CA6)%(↩∃⊬141B⪛∃⊬A96))⋓((∃⊬CEE⪒∃⊬176C)⪮%⊝(⩦⩻⨪∃⊬1472)⋳⪒(∃⊬907⫥∨⫟∃⊬9FD≋⫹))","cot":[{"info":"≤/∃⊬405=∃⊬-221","layer":3},{"info":"∃⊬DE0⩨∃⊬CA6=∃⊬0","layer":3},{"info":"∃⊬-221⊉≛↸∃⊬0=∃⊬0","layer":2},{"info":"∃⊬141B⪛∃⊬A96=∃⊬985","layer":3},{"info":"↩∃⊬985=∃⊬-414C","layer":2},{"info":"∃⊬0%∃⊬-414C=∃⊬0","layer":1},{"info":"∃⊬CEE⪒∃⊬176C=∃⊬-245A","layer":3},{"info":"⩦⩻⨪∃⊬1472=∃⊬1472","layer":3},{"info":"∃⊬-245A⪮%⊝∃⊬1472=∃⊬-4778","layer":2},{"info":"∃⊬907⫥∨⫟∃⊬9FD=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"∃⊬-4778⋳⪒NaN=NaN","layer":1},{"info":"∃⊬0⋓NaN=NaN","layer":0}]}
{"id":507,"expression_no_base_symbol":"(∂(($5164$%$1438$)⪄$5209$⨪↰⇹$4305$))⪢(($1380$≎⊠⪸$1167$⨳⩥⨓(↩$6218$))⨐⩸⫘(∂($6939$⨐⩸⫘$2400$)))","expression":"(∂((∃⊬142C%∃⊬59E)⪄∃⊬1459⨪↰⇹∃⊬10D1))⪢((∃⊬564≎⊠⪸∃⊬48F⨳⩥⨓(↩∃⊬184A))⨐⩸⫘(∂(∃⊬1B1B⨐⩸⫘∃⊬960)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6017,"operation_count":11,"complexity_ratio":547.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5164,"base":16},"right_expr":{"type":"numeric_atoms","value":1438,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5209,"base":16},"right_expr":{"type":"numeric_atoms","value":4305,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1380,"base":16},"right_expr":{"type":"numeric_atoms","value":1167,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":6218,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6939,"base":16},"right_expr":{"type":"numeric_atoms","value":2400,"base":16}}}}},"used_operators":["dWAJyo7jo9","Uaa54Peajs","SUmda5xLS4","k8jYdgA6NY","tmPS8pqC7x","fu6greOZ01","nCS4ZIUYfx","bJkvcejdHO","jLgFTUHLKL"],"dependent_operators":["k8jYdgA6NY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","rJVOvQCfKK","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","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=5164","layer":4},{"info":"number node, value=1438","layer":4},{"info":"compute binary expreesion, left_input=5164, right_input=1438, op_id = k8jYdgA6NY binary_op_definition= 'None', output=850","layer":3},{"info":"number node, value=5209","layer":4},{"info":"number node, value=4305","layer":4},{"info":"compute binary expreesion, left_input=5209, right_input=4305, 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=5209","layer":3},{"info":"compute binary expreesion, left_input=850, right_input=5209, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-142725","layer":2},{"info":"compute unary expreesion, input=-142725, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=142461","layer":1},{"info":"number node, value=1380","layer":4},{"info":"number node, value=1167","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=1167, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=356947","layer":3},{"info":"number node, value=6218","layer":4},{"info":"compute unary expreesion, input=6218, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-46964","layer":3},{"info":"compute binary expreesion, left_input=356947, right_input=-46964, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-403911","layer":2},{"info":"number node, value=6939","layer":4},{"info":"number node, value=2400","layer":4},{"info":"compute binary expreesion, left_input=6939, right_input=2400, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-403911, 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":1},{"info":"compute binary expreesion, left_input=142461, 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":"(∂((∃⊬142C%∃⊬59E)⪄∃⊬1459⨪↰⇹∃⊬10D1))⪢((∃⊬564≎⊠⪸∃⊬48F⨳⩥⨓(↩∃⊬184A))⨐⩸⫘(∂(∃⊬1B1B⨐⩸⫘∃⊬960)))=NaN","reverse_text":"NaN=(∂((∃⊬142C%∃⊬59E)⪄∃⊬1459⨪↰⇹∃⊬10D1))⪢((∃⊬564≎⊠⪸∃⊬48F⨳⩥⨓(↩∃⊬184A))⨐⩸⫘(∂(∃⊬1B1B⨐⩸⫘∃⊬960)))","cot":[{"info":"∃⊬142C%∃⊬59E=∃⊬352","layer":3},{"info":"∃⊬1459⨪↰⇹∃⊬10D1=∃⊬1459","layer":3},{"info":"∃⊬352⪄∃⊬1459=∃⊬-22D85","layer":2},{"info":"∂∃⊬-22D85=∃⊬22C7D","layer":1},{"info":"∃⊬564≎⊠⪸∃⊬48F=∃⊬57253","layer":3},{"info":"↩∃⊬184A=∃⊬-B774","layer":3},{"info":"∃⊬57253⨳⩥⨓∃⊬-B774=∃⊬-629C7","layer":2},{"info":"∃⊬1B1B⨐⩸⫘∃⊬960=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"∃⊬-629C7⨐⩸⫘NaN=NaN","layer":1},{"info":"∃⊬22C7D⪢NaN=NaN","layer":0}]}
{"id":508,"expression_no_base_symbol":"($1166$⪢$1681$⊭↱$1084$⫸⊐$1740$)⪮%⊝($1019$≎⊠⪸$1756$⊭↱(∥⊫$3744$))%(($7464$≧⫂∧$3479$)∀⇚≩(⇁⨣⪵$3568$))⪢(($1006$⊭∹↮)⨵⪆$2566$⩷∴$3750$)","expression":"(∃⊬48E⪢∃⊬691⊭↱∃⊬43C⫸⊐∃⊬6CC)⪮%⊝(∃⊬3FB≎⊠⪸∃⊬6DC⊭↱(∥⊫∃⊬EA0))%((∃⊬1D28≧⫂∧∃⊬D97)∀⇚≩(⇁⨣⪵∃⊬DF0))⪢((∃⊬3EE⊭∹↮)⨵⪆∃⊬A06⩷∴∃⊬EA6)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23218,"operation_count":15,"complexity_ratio":1547.8666666666666,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1166,"base":16},"right_expr":{"type":"numeric_atoms","value":1681,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1084,"base":16},"right_expr":{"type":"numeric_atoms","value":1740,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1019,"base":16},"right_expr":{"type":"numeric_atoms","value":1756,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3744,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7464,"base":16},"right_expr":{"type":"numeric_atoms","value":3479,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3568,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1006,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2566,"base":16},"right_expr":{"type":"numeric_atoms","value":3750,"base":16}}}}},"used_operators":["k8jYdgA6NY","IWmyXbctLI","COABgblf1C","dWAJyo7jo9","mqXw5SEYmG","bJkvcejdHO","P8v4zCKN1o","LRNGc0VcxI","Ph9nP6C5qx","inkyxCbjAn","2DQ55sFlQl","xNBdhnnwKq","9FxExcQeMw"],"dependent_operators":["rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1166","layer":4},{"info":"number node, value=1681","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1681, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=1740","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=1740, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6835","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6835, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1019","layer":4},{"info":"number node, value=1756","layer":4},{"info":"compute binary expreesion, left_input=1019, right_input=1756, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=263448","layer":3},{"info":"number node, value=3744","layer":4},{"info":"compute unary expreesion, input=3744, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4612","layer":3},{"info":"compute binary expreesion, left_input=263448, right_input=4612, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-517667","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-517667, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=7464","layer":4},{"info":"number node, value=3479","layer":4},{"info":"compute binary expreesion, left_input=7464, right_input=3479, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3006","layer":3},{"info":"number node, value=3568","layer":4},{"info":"compute unary expreesion, input=3568, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3006, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1006","layer":4},{"info":"compute unary expreesion, input=1006, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2012","layer":3},{"info":"number node, value=2566","layer":4},{"info":"number node, value=3750","layer":4},{"info":"compute binary expreesion, left_input=2566, right_input=3750, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2400","layer":3},{"info":"compute binary expreesion, left_input=2012, right_input=-2400, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬48E⪢∃⊬691⊭↱∃⊬43C⫸⊐∃⊬6CC)⪮%⊝(∃⊬3FB≎⊠⪸∃⊬6DC⊭↱(∥⊫∃⊬EA0))%((∃⊬1D28≧⫂∧∃⊬D97)∀⇚≩(⇁⨣⪵∃⊬DF0))⪢((∃⊬3EE⊭∹↮)⨵⪆∃⊬A06⩷∴∃⊬EA6)=NaN","reverse_text":"NaN=(∃⊬48E⪢∃⊬691⊭↱∃⊬43C⫸⊐∃⊬6CC)⪮%⊝(∃⊬3FB≎⊠⪸∃⊬6DC⊭↱(∥⊫∃⊬EA0))%((∃⊬1D28≧⫂∧∃⊬D97)∀⇚≩(⇁⨣⪵∃⊬DF0))⪢((∃⊬3EE⊭∹↮)⨵⪆∃⊬A06⩷∴∃⊬EA6)","cot":[{"info":"∃⊬48E⪢∃⊬691=NaN","layer":3},{"info":"∃⊬43C⫸⊐∃⊬6CC=∃⊬1AB3","layer":3},{"info":"NaN⊭↱∃⊬1AB3=NaN","layer":2},{"info":"∃⊬3FB≎⊠⪸∃⊬6DC=∃⊬40518","layer":3},{"info":"∥⊫∃⊬EA0=∃⊬1204","layer":3},{"info":"∃⊬40518⊭↱∃⊬1204=∃⊬-7E623","layer":2},{"info":"NaN⪮%⊝∃⊬-7E623=NaN","layer":1},{"info":"∃⊬1D28≧⫂∧∃⊬D97=∃⊬BBE","layer":3},{"info":"⇁⨣⪵∃⊬DF0=NaN","layer":3},{"info":"∃⊬BBE∀⇚≩NaN=NaN","layer":2},{"info":"∃⊬3EE⊭∹↮=∃⊬7DC","layer":3},{"info":"∃⊬A06⩷∴∃⊬EA6=∃⊬-960","layer":3},{"info":"∃⊬7DC⨵⪆∃⊬-960=∃⊬A0","layer":2},{"info":"NaN⪢∃⊬A0=NaN","layer":1},{"info":"NaN%NaN=NaN","layer":0}]}
{"id":509,"expression_no_base_symbol":"⨈⫕((⩦⩻⨪$1550$)⨐⩸⫘$1373$⋝⋈⪟$4327$)↬($1571$*$2231$)↬($2147$≎⊠⪸$2681$)","expression":"⨈⫕((⩦⩻⨪∃⊬60E)⨐⩸⫘∃⊬55D⋝⋈⪟∃⊬10E7)↬(∃⊬623*∃⊬8B7)↬(∃⊬863≎⊠⪸∃⊬A79)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2236,"operation_count":8,"complexity_ratio":279.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1550,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1373,"base":16},"right_expr":{"type":"numeric_atoms","value":4327,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1571,"base":16},"right_expr":{"type":"numeric_atoms","value":2231,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2147,"base":16},"right_expr":{"type":"numeric_atoms","value":2681,"base":16}}}}},"used_operators":["megm06wKyl","B5M0gjZbta","fu6greOZ01","2td37pGCOC","2DDjHMKMc0","9HNa5Wba9A","bJkvcejdHO"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1550","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=4327","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=4327, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1373","layer":3},{"info":"compute binary expreesion, left_input=1550, right_input=1373, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1571","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=2231, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3504901","layer":3},{"info":"number node, value=2147","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=2681, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=555600","layer":3},{"info":"compute binary expreesion, left_input=3504901, right_input=555600, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"⨈⫕((⩦⩻⨪∃⊬60E)⨐⩸⫘∃⊬55D⋝⋈⪟∃⊬10E7)↬(∃⊬623*∃⊬8B7)↬(∃⊬863≎⊠⪸∃⊬A79)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕((⩦⩻⨪∃⊬60E)⨐⩸⫘∃⊬55D⋝⋈⪟∃⊬10E7)↬(∃⊬623*∃⊬8B7)↬(∃⊬863≎⊠⪸∃⊬A79)","cot":[{"info":"⩦⩻⨪∃⊬60E=∃⊬60E","layer":3},{"info":"∃⊬55D⋝⋈⪟∃⊬10E7=∃⊬55D","layer":3},{"info":"∃⊬60E⨐⩸⫘∃⊬55D=NaN","layer":2},{"info":"∃⊬623*∃⊬8B7=∃⊬357B05","layer":3},{"info":"∃⊬863≎⊠⪸∃⊬A79=∃⊬87A50","layer":3},{"info":"∃⊬357B05↬∃⊬87A50=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":510,"expression_no_base_symbol":"⨵≀≌(($2128$≧⫂∧$1027$)↬($1545$∲⫓$3119$)%(∂$3642$)≧⫂∧($2498$⨵⪆$1003$))","expression":"⨵≀≌((∃⊬850≧⫂∧∃⊬403)↬(∃⊬609∲⫓∃⊬C2F)%(∂∃⊬E3A)≧⫂∧(∃⊬9C2⨵⪆∃⊬3EB))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11,"operation_count":8,"complexity_ratio":1.375,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2128,"base":16},"right_expr":{"type":"numeric_atoms","value":1027,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1545,"base":16},"right_expr":{"type":"numeric_atoms","value":3119,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3642,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2498,"base":16},"right_expr":{"type":"numeric_atoms","value":1003,"base":16}}}}},"used_operators":["srAu1WTS94","k8jYdgA6NY","B5M0gjZbta","Ph9nP6C5qx","i8ToyICDmI","Uaa54Peajs","2DQ55sFlQl"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2128","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=2128, right_input=1027, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=554","layer":3},{"info":"number node, value=1545","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=1545, right_input=3119, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=554, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3642","layer":4},{"info":"compute unary expreesion, input=3642, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=1003","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=1003, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-313, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"⨵≀≌((∃⊬850≧⫂∧∃⊬403)↬(∃⊬609∲⫓∃⊬C2F)%(∂∃⊬E3A)≧⫂∧(∃⊬9C2⨵⪆∃⊬3EB))=NaN","reverse_text":"NaN=⨵≀≌((∃⊬850≧⫂∧∃⊬403)↬(∃⊬609∲⫓∃⊬C2F)%(∂∃⊬E3A)≧⫂∧(∃⊬9C2⨵⪆∃⊬3EB))","cot":[{"info":"∃⊬850≧⫂∧∃⊬403=∃⊬22A","layer":3},{"info":"∃⊬609∲⫓∃⊬C2F=∃⊬0","layer":3},{"info":"∃⊬22A↬∃⊬0=NaN","layer":2},{"info":"∂∃⊬E3A=NaN","layer":3},{"info":"∃⊬9C2⨵⪆∃⊬3EB=∃⊬A0","layer":3},{"info":"NaN≧⫂∧∃⊬A0=∃⊬-139","layer":2},{"info":"NaN%∃⊬-139=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":511,"expression_no_base_symbol":"((⪲⇎$2241$)⪄(⫓⪴$2995$))⋥≓≎((↣≠⋷$2159$)/$3999$∑⇟⊟$1617$)/(↣≠⋷($2285$⨎$5135$))∲⫓($4003$⪒$8816$)⋥≓≎$3209$⪮%⊝$1322$","expression":"((⪲⇎∃⊬8C1)⪄(⫓⪴∃⊬BB3))⋥≓≎((↣≠⋷∃⊬86F)/∃⊬F9F∑⇟⊟∃⊬651)/(↣≠⋷(∃⊬8ED⨎∃⊬140F))∲⫓(∃⊬FA3⪒∃⊬2270)⋥≓≎∃⊬C89⪮%⊝∃⊬52A","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3119,"operation_count":14,"complexity_ratio":222.78571428571428,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2241,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2995,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2159,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3999,"base":16},"right_expr":{"type":"numeric_atoms","value":1617,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2285,"base":16},"right_expr":{"type":"numeric_atoms","value":5135,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4003,"base":16},"right_expr":{"type":"numeric_atoms","value":8816,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3209,"base":16},"right_expr":{"type":"numeric_atoms","value":1322,"base":16}}}}},"used_operators":["XhwjNDsVaA","Qy55tPpLXF","SUmda5xLS4","XPYlsWDdGa","eLxqMNBOBk","Asc51vEJeQ","U7g4x0WXJJ","i8ToyICDmI","rJVOvQCfKK","f6k1SAg4EE","IWmyXbctLI"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2241","layer":4},{"info":"compute unary expreesion, input=2241, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4482","layer":3},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8970025","layer":3},{"info":"compute binary expreesion, left_input=4482, right_input=8970025, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-36539525","layer":2},{"info":"number node, value=2159","layer":4},{"info":"compute unary expreesion, input=2159, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3999","layer":4},{"info":"number node, value=1617","layer":4},{"info":"compute binary expreesion, left_input=3999, right_input=1617, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-36539525, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"number node, value=2285","layer":4},{"info":"number node, value=5135","layer":4},{"info":"compute binary expreesion, left_input=2285, right_input=5135, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5135","layer":3},{"info":"compute unary expreesion, input=5135, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=4003","layer":4},{"info":"number node, value=8816","layer":4},{"info":"compute binary expreesion, left_input=4003, right_input=8816, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-12819","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=1322, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6734","layer":3},{"info":"compute binary expreesion, left_input=-12819, right_input=6734, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪲⇎∃⊬8C1)⪄(⫓⪴∃⊬BB3))⋥≓≎((↣≠⋷∃⊬86F)/∃⊬F9F∑⇟⊟∃⊬651)/(↣≠⋷(∃⊬8ED⨎∃⊬140F))∲⫓(∃⊬FA3⪒∃⊬2270)⋥≓≎∃⊬C89⪮%⊝∃⊬52A=NaN","reverse_text":"NaN=((⪲⇎∃⊬8C1)⪄(⫓⪴∃⊬BB3))⋥≓≎((↣≠⋷∃⊬86F)/∃⊬F9F∑⇟⊟∃⊬651)/(↣≠⋷(∃⊬8ED⨎∃⊬140F))∲⫓(∃⊬FA3⪒∃⊬2270)⋥≓≎∃⊬C89⪮%⊝∃⊬52A","cot":[{"info":"⪲⇎∃⊬8C1=∃⊬1182","layer":3},{"info":"⫓⪴∃⊬BB3=∃⊬88DF29","layer":3},{"info":"∃⊬1182⪄∃⊬88DF29=∃⊬-22D8C85","layer":2},{"info":"↣≠⋷∃⊬86F=NaN","layer":3},{"info":"∃⊬F9F∑⇟⊟∃⊬651=NaN","layer":3},{"info":"NaN/NaN=NaN","layer":2},{"info":"∃⊬-22D8C85⋥≓≎NaN=∃⊬43","layer":1},{"info":"∃⊬8ED⨎∃⊬140F=∃⊬140F","layer":3},{"info":"↣≠⋷∃⊬140F=NaN","layer":2},{"info":"∃⊬FA3⪒∃⊬2270=∃⊬-3213","layer":3},{"info":"∃⊬C89⪮%⊝∃⊬52A=∃⊬1A4E","layer":3},{"info":"∃⊬-3213⋥≓≎∃⊬1A4E=∃⊬43","layer":2},{"info":"NaN∲⫓∃⊬43=NaN","layer":1},{"info":"∃⊬43/NaN=NaN","layer":0}]}
{"id":512,"expression_no_base_symbol":"(↣≠⋷(⊄⩳↩(↔$1440$)))↺(($7302$⋷$7864$)*$2599$⪮%⊝$2553$)≧⫂∧($5795$⨪↰⇹$1882$⫸⊐$3426$≭$5078$)","expression":"(↣≠⋷(⊄⩳↩(↔∃⊬5A0)))↺((∃⊬1C86⋷∃⊬1EB8)*∃⊬A27⪮%⊝∃⊬9F9)≧⫂∧(∃⊬16A3⨪↰⇹∃⊬75A⫸⊐∃⊬D62≭∃⊬13D6)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11360,"operation_count":11,"complexity_ratio":1032.7272727272727,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1440,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7302,"base":16},"right_expr":{"type":"numeric_atoms","value":7864,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2599,"base":16},"right_expr":{"type":"numeric_atoms","value":2553,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5795,"base":16},"right_expr":{"type":"numeric_atoms","value":1882,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3426,"base":16},"right_expr":{"type":"numeric_atoms","value":5078,"base":16}}}}},"used_operators":["7j4O788W3g","Asc51vEJeQ","8w2t5hMYqp","ruOEQAzv1W","Ph9nP6C5qx","9HNa5Wba9A","23Mk6UjR3U","IWmyXbctLI","mqXw5SEYmG","tmPS8pqC7x","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rJVOvQCfKK","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1440","layer":4},{"info":"compute unary expreesion, input=1440, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1167","layer":3},{"info":"compute unary expreesion, input=-1167, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=3501","layer":2},{"info":"compute unary expreesion, input=3501, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"number node, value=7302","layer":4},{"info":"number node, value=7864","layer":4},{"info":"compute binary expreesion, left_input=7302, right_input=7864, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8426","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=2553","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=2553, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5514","layer":3},{"info":"compute binary expreesion, left_input=8426, right_input=5514, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=46460964","layer":2},{"info":"number node, value=5795","layer":4},{"info":"number node, value=1882","layer":4},{"info":"compute binary expreesion, left_input=5795, right_input=1882, 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=5795","layer":3},{"info":"number node, value=3426","layer":4},{"info":"number node, value=5078","layer":4},{"info":"compute binary expreesion, left_input=3426, right_input=5078, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5795, 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":2},{"info":"compute binary expreesion, left_input=46460964, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(↣≠⋷(⊄⩳↩(↔∃⊬5A0)))↺((∃⊬1C86⋷∃⊬1EB8)*∃⊬A27⪮%⊝∃⊬9F9)≧⫂∧(∃⊬16A3⨪↰⇹∃⊬75A⫸⊐∃⊬D62≭∃⊬13D6)=NaN","reverse_text":"NaN=(↣≠⋷(⊄⩳↩(↔∃⊬5A0)))↺((∃⊬1C86⋷∃⊬1EB8)*∃⊬A27⪮%⊝∃⊬9F9)≧⫂∧(∃⊬16A3⨪↰⇹∃⊬75A⫸⊐∃⊬D62≭∃⊬13D6)","cot":[{"info":"↔∃⊬5A0=∃⊬-48F","layer":3},{"info":"⊄⩳↩∃⊬-48F=∃⊬DAD","layer":2},{"info":"↣≠⋷∃⊬DAD=NaN","layer":1},{"info":"∃⊬1C86⋷∃⊬1EB8=∃⊬20EA","layer":3},{"info":"∃⊬A27⪮%⊝∃⊬9F9=∃⊬158A","layer":3},{"info":"∃⊬20EA*∃⊬158A=∃⊬2C4F024","layer":2},{"info":"∃⊬16A3⨪↰⇹∃⊬75A=∃⊬16A3","layer":3},{"info":"∃⊬D62≭∃⊬13D6=NaN","layer":3},{"info":"∃⊬16A3⫸⊐NaN=NaN","layer":2},{"info":"∃⊬2C4F024≧⫂∧NaN=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":513,"expression_no_base_symbol":"(($4015$⨸⪁$2367$)⩷∴($1506$-$3298$)⊉≛↸($8122$%$7323$⋷$2756$⨰$1467$))⪠⩆⊳","expression":"((∃⊬FAF⨸⪁∃⊬93F)⩷∴(∃⊬5E2-∃⊬CE2)⊉≛↸(∃⊬1FBA%∃⊬1C9B⋷∃⊬AC4⨰∃⊬5BB))⪠⩆⊳","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":28,"operation_count":8,"complexity_ratio":3.5,"tree":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4015,"base":16},"right_expr":{"type":"numeric_atoms","value":2367,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1506,"base":16},"right_expr":{"type":"numeric_atoms","value":3298,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8122,"base":16},"right_expr":{"type":"numeric_atoms","value":7323,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2756,"base":16},"right_expr":{"type":"numeric_atoms","value":1467,"base":16}}}}},"used_operators":["JLbD19bQDL","DZ8iAZOCBD","9FxExcQeMw","g55IO6H4Gj","rysDP5nf3Z","23Mk6UjR3U","k8jYdgA6NY","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4015","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=4015, right_input=2367, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12764","layer":3},{"info":"number node, value=1506","layer":4},{"info":"number node, value=3298","layer":4},{"info":"compute binary expreesion, left_input=1506, right_input=3298, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1792","layer":3},{"info":"compute binary expreesion, left_input=12764, right_input=-1792, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=29080","layer":2},{"info":"number node, value=8122","layer":4},{"info":"number node, value=7323","layer":4},{"info":"compute binary expreesion, left_input=8122, right_input=7323, op_id = k8jYdgA6NY binary_op_definition= 'None', output=799","layer":3},{"info":"number node, value=2756","layer":4},{"info":"number node, value=1467","layer":4},{"info":"compute binary expreesion, left_input=2756, right_input=1467, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1299","layer":3},{"info":"compute binary expreesion, left_input=799, right_input=1299, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1799","layer":2},{"info":"compute binary expreesion, left_input=29080, right_input=1799, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=58160","layer":1},{"info":"compute unary expreesion, input=58160, 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":"((∃⊬FAF⨸⪁∃⊬93F)⩷∴(∃⊬5E2-∃⊬CE2)⊉≛↸(∃⊬1FBA%∃⊬1C9B⋷∃⊬AC4⨰∃⊬5BB))⪠⩆⊳=∃⊬0","reverse_text":"∃⊬0=((∃⊬FAF⨸⪁∃⊬93F)⩷∴(∃⊬5E2-∃⊬CE2)⊉≛↸(∃⊬1FBA%∃⊬1C9B⋷∃⊬AC4⨰∃⊬5BB))⪠⩆⊳","cot":[{"info":"∃⊬FAF⨸⪁∃⊬93F=∃⊬31DC","layer":3},{"info":"∃⊬5E2-∃⊬CE2=∃⊬-700","layer":3},{"info":"∃⊬31DC⩷∴∃⊬-700=∃⊬7198","layer":2},{"info":"∃⊬1FBA%∃⊬1C9B=∃⊬31F","layer":3},{"info":"∃⊬AC4⨰∃⊬5BB=∃⊬513","layer":3},{"info":"∃⊬31F⋷∃⊬513=∃⊬707","layer":2},{"info":"∃⊬7198⊉≛↸∃⊬707=∃⊬E330","layer":1},{"info":"∃⊬E330⪠⩆⊳=∃⊬0","layer":0}]}
{"id":514,"expression_no_base_symbol":"⨰⫟⨤(↥((∂$2388$)⨸⪁($2608$-$4606$)))","expression":"⨰⫟⨤(↥((∂∃⊬954)⨸⪁(∃⊬A30-∃⊬11FE)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":35,"operation_count":5,"complexity_ratio":7.0,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2388,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2608,"base":16},"right_expr":{"type":"numeric_atoms","value":4606,"base":16}}}}},"used_operators":["Tw270M8GLb","A8NUZmVepG","g55IO6H4Gj","Uaa54Peajs","rysDP5nf3Z"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2388","layer":4},{"info":"compute unary expreesion, input=2388, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2608","layer":4},{"info":"number node, value=4606","layer":4},{"info":"compute binary expreesion, left_input=2608, right_input=4606, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1998","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1998, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤(↥((∂∃⊬954)⨸⪁(∃⊬A30-∃⊬11FE)))=NaN","reverse_text":"NaN=⨰⫟⨤(↥((∂∃⊬954)⨸⪁(∃⊬A30-∃⊬11FE)))","cot":[{"info":"∂∃⊬954=NaN","layer":3},{"info":"∃⊬A30-∃⊬11FE=∃⊬-7CE","layer":3},{"info":"NaN⨸⪁∃⊬-7CE=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":515,"expression_no_base_symbol":"↣≠⋷((⨑⩽⪐(≤/$1737$))↺(⩦⩻⨪($5902$⋷$1770$)))","expression":"↣≠⋷((⨑⩽⪐(≤/∃⊬6C9))↺(⩦⩻⨪(∃⊬170E⋷∃⊬6EA)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":19,"operation_count":6,"complexity_ratio":3.1666666666666665,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1737,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5902,"base":16},"right_expr":{"type":"numeric_atoms","value":1770,"base":16}}}}},"used_operators":["Asc51vEJeQ","7j4O788W3g","AF7qkfDlqP","eLAdDNolq6","2td37pGCOC","23Mk6UjR3U"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1737","layer":4},{"info":"compute unary expreesion, input=1737, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1253","layer":3},{"info":"compute unary expreesion, input=-1253, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=3295","layer":2},{"info":"number node, value=5902","layer":4},{"info":"number node, value=1770","layer":4},{"info":"compute binary expreesion, left_input=5902, right_input=1770, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2362","layer":3},{"info":"compute unary expreesion, input=-2362, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=-2362","layer":2},{"info":"compute binary expreesion, left_input=3295, right_input=-2362, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2362","layer":1},{"info":"compute unary expreesion, input=-2362, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↣≠⋷((⨑⩽⪐(≤/∃⊬6C9))↺(⩦⩻⨪(∃⊬170E⋷∃⊬6EA)))=NaN","reverse_text":"NaN=↣≠⋷((⨑⩽⪐(≤/∃⊬6C9))↺(⩦⩻⨪(∃⊬170E⋷∃⊬6EA)))","cot":[{"info":"≤/∃⊬6C9=∃⊬-4E5","layer":3},{"info":"⨑⩽⪐∃⊬-4E5=∃⊬CDF","layer":2},{"info":"∃⊬170E⋷∃⊬6EA=∃⊬-93A","layer":3},{"info":"⩦⩻⨪∃⊬-93A=∃⊬-93A","layer":2},{"info":"∃⊬CDF↺∃⊬-93A=∃⊬-93A","layer":1},{"info":"↣≠⋷∃⊬-93A=NaN","layer":0}]}
{"id":516,"expression_no_base_symbol":"+⊝⨔((($4475$⫩⊇)≫≃)∲⫓(⨰⫟⨤$1666$)∼($1157$⋥≓≎$9705$))","expression":"+⊝⨔(((∃⊬117B⫩⊇)≫≃)∲⫓(⨰⫟⨤∃⊬682)∼(∃⊬485⋥≓≎∃⊬25E9))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5862,"operation_count":7,"complexity_ratio":837.4285714285714,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":4475,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1666,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1157,"base":16},"right_expr":{"type":"numeric_atoms","value":9705,"base":16}}}}},"used_operators":["DhbWaqg5eL","i8ToyICDmI","X99M06cbEe","BjRHVeLaeN","DyGG3AbaNP","Tw270M8GLb","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4475","layer":4},{"info":"compute unary expreesion, input=4475, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4433","layer":3},{"info":"compute unary expreesion, input=-4433, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-7465","layer":2},{"info":"number node, value=1666","layer":4},{"info":"compute unary expreesion, input=1666, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1157","layer":4},{"info":"number node, value=9705","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=9705, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=18286","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=18286, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7465, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , 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":"+⊝⨔(((∃⊬117B⫩⊇)≫≃)∲⫓(⨰⫟⨤∃⊬682)∼(∃⊬485⋥≓≎∃⊬25E9))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(((∃⊬117B⫩⊇)≫≃)∲⫓(⨰⫟⨤∃⊬682)∼(∃⊬485⋥≓≎∃⊬25E9))","cot":[{"info":"∃⊬117B⫩⊇=∃⊬-1151","layer":3},{"info":"∃⊬-1151≫≃=∃⊬-1D29","layer":2},{"info":"⨰⫟⨤∃⊬682=NaN","layer":3},{"info":"∃⊬485⋥≓≎∃⊬25E9=∃⊬476E","layer":3},{"info":"NaN∼∃⊬476E=NaN","layer":2},{"info":"∃⊬-1D29∲⫓NaN=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
{"id":517,"expression_no_base_symbol":"(($2641$∸)≎⊠⪸(≉$2051$)⩨($3490$⩚⊴⇥$1046$⩤))⨪↰⇹(⨑⩽⪐(⊥$1891$)≎⊠⪸($1099$⫥∨⫟$1119$))","expression":"((∃⊬A51∸)≎⊠⪸(≉∃⊬803)⩨(∃⊬DA2⩚⊴⇥∃⊬416⩤))⨪↰⇹(⨑⩽⪐(⊥∃⊬763)≎⊠⪸(∃⊬44B⫥∨⫟∃⊬45F))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":546,"operation_count":11,"complexity_ratio":49.63636363636363,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2641,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2051,"base":16}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3490,"base":16},"right_expr":{"type":"numeric_atoms","value":1046,"base":16}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1891,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1099,"base":16},"right_expr":{"type":"numeric_atoms","value":1119,"base":16}}}}},"used_operators":["tmPS8pqC7x","2DlMacCsIx","bJkvcejdHO","o20kRiQErp","e1ybzncUwg","Z2TMIBDE3Q","NTOWxs364D","AF7qkfDlqP","Q3PJZHRvZv","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","fu6greOZ01","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2641","layer":4},{"info":"compute unary expreesion, input=2641, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2051","layer":4},{"info":"compute unary expreesion, input=2051, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2582","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=2582, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=45370","layer":2},{"info":"number node, value=3490","layer":4},{"info":"number node, value=1046","layer":4},{"info":"compute binary expreesion, left_input=3490, right_input=1046, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4657","layer":3},{"info":"compute unary expreesion, input=-4657, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=4657","layer":2},{"info":"compute binary expreesion, left_input=45370, right_input=4657, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=1891","layer":4},{"info":"compute unary expreesion, input=1891, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=1119, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=206","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=206, 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":"((∃⊬A51∸)≎⊠⪸(≉∃⊬803)⩨(∃⊬DA2⩚⊴⇥∃⊬416⩤))⨪↰⇹(⨑⩽⪐(⊥∃⊬763)≎⊠⪸(∃⊬44B⫥∨⫟∃⊬45F))=∃⊬0","reverse_text":"∃⊬0=((∃⊬A51∸)≎⊠⪸(≉∃⊬803)⩨(∃⊬DA2⩚⊴⇥∃⊬416⩤))⨪↰⇹(⨑⩽⪐(⊥∃⊬763)≎⊠⪸(∃⊬44B⫥∨⫟∃⊬45F))","cot":[{"info":"∃⊬A51∸=∃⊬B1","layer":3},{"info":"≉∃⊬803=∃⊬A16","layer":3},{"info":"∃⊬B1≎⊠⪸∃⊬A16=∃⊬B13A","layer":2},{"info":"∃⊬DA2⩚⊴⇥∃⊬416=∃⊬-1231","layer":3},{"info":"∃⊬-1231⩤=∃⊬1231","layer":2},{"info":"∃⊬B13A⩨∃⊬1231=∃⊬0","layer":1},{"info":"⊥∃⊬763=NaN","layer":3},{"info":"∃⊬44B⫥∨⫟∃⊬45F=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":2},{"info":"⨑⩽⪐∃⊬43=∃⊬CE","layer":1},{"info":"∃⊬0⨪↰⇹∃⊬CE=∃⊬0","layer":0}]}
{"id":518,"expression_no_base_symbol":"(($2275$⪒$1439$)⩚⊴⇥($2137$⨽$2310$))∑⇟⊟(($1282$⩤)⊭↱($7468$⊉≛↸$1994$))⋝⋈⪟(⨰⫟⨤(($8500$≋⫹)⩤))","expression":"((∃⊬8E3⪒∃⊬59F)⩚⊴⇥(∃⊬859⨽∃⊬906))∑⇟⊟((∃⊬502⩤)⊭↱(∃⊬1D2C⊉≛↸∃⊬7CA))⋝⋈⪟(⨰⫟⨤((∃⊬2134≋⫹)⩤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":69329,"operation_count":11,"complexity_ratio":6302.636363636364,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2275,"base":16},"right_expr":{"type":"numeric_atoms","value":1439,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2137,"base":16},"right_expr":{"type":"numeric_atoms","value":2310,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1282,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7468,"base":16},"right_expr":{"type":"numeric_atoms","value":1994,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":8500,"base":16}}}}},"used_operators":["2DDjHMKMc0","U7g4x0WXJJ","NTOWxs364D","f6k1SAg4EE","8HhzD0ZcuI","COABgblf1C","Z2TMIBDE3Q","DZ8iAZOCBD","Tw270M8GLb","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2275","layer":4},{"info":"number node, value=1439","layer":4},{"info":"compute binary expreesion, left_input=2275, right_input=1439, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3714","layer":3},{"info":"number node, value=2137","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=2137, right_input=2310, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-13705923","layer":3},{"info":"compute binary expreesion, left_input=-3714, right_input=-13705923, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=13709516","layer":2},{"info":"number node, value=1282","layer":4},{"info":"compute unary expreesion, input=1282, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1282","layer":3},{"info":"number node, value=7468","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=7468, right_input=1994, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14936","layer":3},{"info":"compute binary expreesion, left_input=-1282, right_input=14936, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=32441","layer":2},{"info":"compute binary expreesion, left_input=13709516, right_input=32441, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=8500","layer":4},{"info":"compute unary expreesion, input=8500, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-17000","layer":3},{"info":"compute unary expreesion, input=-17000, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=17000","layer":2},{"info":"compute unary expreesion, input=17000, 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 = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬8E3⪒∃⊬59F)⩚⊴⇥(∃⊬859⨽∃⊬906))∑⇟⊟((∃⊬502⩤)⊭↱(∃⊬1D2C⊉≛↸∃⊬7CA))⋝⋈⪟(⨰⫟⨤((∃⊬2134≋⫹)⩤))=NaN","reverse_text":"NaN=((∃⊬8E3⪒∃⊬59F)⩚⊴⇥(∃⊬859⨽∃⊬906))∑⇟⊟((∃⊬502⩤)⊭↱(∃⊬1D2C⊉≛↸∃⊬7CA))⋝⋈⪟(⨰⫟⨤((∃⊬2134≋⫹)⩤))","cot":[{"info":"∃⊬8E3⪒∃⊬59F=∃⊬-E82","layer":3},{"info":"∃⊬859⨽∃⊬906=∃⊬-D122C3","layer":3},{"info":"∃⊬-E82⩚⊴⇥∃⊬-D122C3=∃⊬D130CC","layer":2},{"info":"∃⊬502⩤=∃⊬-502","layer":3},{"info":"∃⊬1D2C⊉≛↸∃⊬7CA=∃⊬3A58","layer":3},{"info":"∃⊬-502⊭↱∃⊬3A58=∃⊬7EB9","layer":2},{"info":"∃⊬D130CC∑⇟⊟∃⊬7EB9=NaN","layer":1},{"info":"∃⊬2134≋⫹=∃⊬-4268","layer":3},{"info":"∃⊬-4268⩤=∃⊬4268","layer":2},{"info":"⨰⫟⨤∃⊬4268=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":519,"expression_no_base_symbol":"(($2213$≧⫂∧$5990$+$9676$⨰$7347$)⊘)⪒($1318$⋓$1309$⫸⊐$2205$⨽$1983$)↬($1356$↺$9530$)↬($5769$⨐⩸⫘$4210$)","expression":"((∃⊬8A5≧⫂∧∃⊬1766+∃⊬25CC⨰∃⊬1CB3)⊘)⪒(∃⊬526⋓∃⊬51D⫸⊐∃⊬89D⨽∃⊬7BF)↬(∃⊬54C↺∃⊬253A)↬(∃⊬1689⨐⩸⫘∃⊬1072)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2266,"operation_count":12,"complexity_ratio":188.83333333333334,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2213,"base":16},"right_expr":{"type":"numeric_atoms","value":5990,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":9676,"base":16},"right_expr":{"type":"numeric_atoms","value":7347,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1318,"base":16},"right_expr":{"type":"numeric_atoms","value":1309,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2205,"base":16},"right_expr":{"type":"numeric_atoms","value":1983,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1356,"base":16},"right_expr":{"type":"numeric_atoms","value":9530,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":5769,"base":16},"right_expr":{"type":"numeric_atoms","value":4210,"base":16}}}}},"used_operators":["f6k1SAg4EE","gu96TGCTMs","W4YGzv6Whe","Ph9nP6C5qx","eewbuw0ToL","B5M0gjZbta","mqXw5SEYmG","T2fj7uvVaJ","8HhzD0ZcuI","7j4O788W3g","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2213","layer":4},{"info":"number node, value=5990","layer":4},{"info":"compute binary expreesion, left_input=2213, right_input=5990, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5517","layer":3},{"info":"number node, value=9676","layer":4},{"info":"number node, value=7347","layer":4},{"info":"compute binary expreesion, left_input=9676, right_input=7347, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2339","layer":3},{"info":"compute binary expreesion, left_input=5517, right_input=2339, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7856","layer":2},{"info":"compute unary expreesion, input=7856, 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=1318","layer":4},{"info":"number node, value=1309","layer":4},{"info":"compute binary expreesion, left_input=1318, right_input=1309, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2205","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=1983, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14590710","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-14590710, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=1356","layer":4},{"info":"number node, value=9530","layer":4},{"info":"compute binary expreesion, left_input=1356, right_input=9530, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9530","layer":3},{"info":"number node, value=5769","layer":4},{"info":"number node, value=4210","layer":4},{"info":"compute binary expreesion, left_input=5769, right_input=4210, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9530, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute 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":"((∃⊬8A5≧⫂∧∃⊬1766+∃⊬25CC⨰∃⊬1CB3)⊘)⪒(∃⊬526⋓∃⊬51D⫸⊐∃⊬89D⨽∃⊬7BF)↬(∃⊬54C↺∃⊬253A)↬(∃⊬1689⨐⩸⫘∃⊬1072)=NaN","reverse_text":"NaN=((∃⊬8A5≧⫂∧∃⊬1766+∃⊬25CC⨰∃⊬1CB3)⊘)⪒(∃⊬526⋓∃⊬51D⫸⊐∃⊬89D⨽∃⊬7BF)↬(∃⊬54C↺∃⊬253A)↬(∃⊬1689⨐⩸⫘∃⊬1072)","cot":[{"info":"∃⊬8A5≧⫂∧∃⊬1766=∃⊬158D","layer":3},{"info":"∃⊬25CC⨰∃⊬1CB3=∃⊬923","layer":3},{"info":"∃⊬158D+∃⊬923=∃⊬1EB0","layer":2},{"info":"∃⊬1EB0⊘=∃⊬0","layer":1},{"info":"∃⊬526⋓∃⊬51D=∃⊬0","layer":3},{"info":"∃⊬89D⨽∃⊬7BF=∃⊬-DEA2F6","layer":3},{"info":"∃⊬0⫸⊐∃⊬-DEA2F6=∃⊬0","layer":2},{"info":"∃⊬54C↺∃⊬253A=∃⊬253A","layer":3},{"info":"∃⊬1689⨐⩸⫘∃⊬1072=NaN","layer":3},{"info":"∃⊬253A↬NaN=NaN","layer":2},{"info":"∃⊬0↬NaN=NaN","layer":1},{"info":"∃⊬0⪒NaN=NaN","layer":0}]}
{"id":520,"expression_no_base_symbol":"(↩(↣≠⋷(↔$5826$)))∲⫓(($1393$∲⫓$2605$)⨰($4588$⩚⊴⇥$2681$))≹⇙⪍($1993$⇼⇔∾$1426$⊉≛↸$1405$⩷∴$2415$)","expression":"(↩(↣≠⋷(↔∃⊬16C2)))∲⫓((∃⊬571∲⫓∃⊬A2D)⨰(∃⊬11EC⩚⊴⇥∃⊬A79))≹⇙⪍(∃⊬7C9⇼⇔∾∃⊬592⊉≛↸∃⊬57D⩷∴∃⊬96F)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":11,"complexity_ratio":5.0,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":5826,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1393,"base":16},"right_expr":{"type":"numeric_atoms","value":2605,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4588,"base":16},"right_expr":{"type":"numeric_atoms","value":2681,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1993,"base":16},"right_expr":{"type":"numeric_atoms","value":1426,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1405,"base":16},"right_expr":{"type":"numeric_atoms","value":2415,"base":16}}}}},"used_operators":["i8ToyICDmI","jLgFTUHLKL","Asc51vEJeQ","ruOEQAzv1W","AHs5Up7iyr","eewbuw0ToL","NTOWxs364D","DZ8iAZOCBD","tifHPKVTfV","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5826","layer":4},{"info":"compute unary expreesion, input=5826, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-5553","layer":3},{"info":"compute unary expreesion, input=-5553, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1393","layer":4},{"info":"number node, value=2605","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=2605, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4588","layer":4},{"info":"number node, value=2681","layer":4},{"info":"compute binary expreesion, left_input=4588, right_input=2681, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7390","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7390, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7400","layer":2},{"info":"number node, value=1993","layer":4},{"info":"number node, value=1426","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=1426, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-567","layer":3},{"info":"number node, value=1405","layer":4},{"info":"number node, value=2415","layer":4},{"info":"compute binary expreesion, left_input=1405, right_input=2415, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2052","layer":3},{"info":"compute binary expreesion, left_input=-567, right_input=-2052, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2052","layer":2},{"info":"compute binary expreesion, left_input=7400, right_input=2052, 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 = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↩(↣≠⋷(↔∃⊬16C2)))∲⫓((∃⊬571∲⫓∃⊬A2D)⨰(∃⊬11EC⩚⊴⇥∃⊬A79))≹⇙⪍(∃⊬7C9⇼⇔∾∃⊬592⊉≛↸∃⊬57D⩷∴∃⊬96F)=NaN","reverse_text":"NaN=(↩(↣≠⋷(↔∃⊬16C2)))∲⫓((∃⊬571∲⫓∃⊬A2D)⨰(∃⊬11EC⩚⊴⇥∃⊬A79))≹⇙⪍(∃⊬7C9⇼⇔∾∃⊬592⊉≛↸∃⊬57D⩷∴∃⊬96F)","cot":[{"info":"↔∃⊬16C2=∃⊬-15B1","layer":3},{"info":"↣≠⋷∃⊬-15B1=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬571∲⫓∃⊬A2D=∃⊬0","layer":3},{"info":"∃⊬11EC⩚⊴⇥∃⊬A79=∃⊬-1CDE","layer":3},{"info":"∃⊬0⨰∃⊬-1CDE=∃⊬1CE8","layer":2},{"info":"∃⊬7C9⇼⇔∾∃⊬592=∃⊬-237","layer":3},{"info":"∃⊬57D⩷∴∃⊬96F=∃⊬-804","layer":3},{"info":"∃⊬-237⊉≛↸∃⊬-804=∃⊬804","layer":2},{"info":"∃⊬1CE8≹⇙⪍∃⊬804=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":521,"expression_no_base_symbol":"(⩦⩻⨪($3929$∲⫓$2300$/$2417$⩷∴$4296$))⨐⩸⫘((($2609$⨳⩥⨓$1867$)⋫)⨸⪁((⨈⫕$5940$)+$5343$∑⇟⊟$1226$))","expression":"(⩦⩻⨪(∃⊬F59∲⫓∃⊬8FC/∃⊬971⩷∴∃⊬10C8))⨐⩸⫘(((∃⊬A31⨳⩥⨓∃⊬74B)⋫)⨸⪁((⨈⫕∃⊬1734)+∃⊬14DF∑⇟⊟∃⊬4CA))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1149,"operation_count":11,"complexity_ratio":104.45454545454545,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3929,"base":16},"right_expr":{"type":"numeric_atoms","value":2300,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2417,"base":16},"right_expr":{"type":"numeric_atoms","value":4296,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2609,"base":16},"right_expr":{"type":"numeric_atoms","value":1867,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5940,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":5343,"base":16},"right_expr":{"type":"numeric_atoms","value":1226,"base":16}}}}},"used_operators":["fu6greOZ01","2td37pGCOC","XhwjNDsVaA","i8ToyICDmI","9FxExcQeMw","g55IO6H4Gj","JL8yIekQnl","nCS4ZIUYfx","W4YGzv6Whe","megm06wKyl","U7g4x0WXJJ"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3929","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=3929, right_input=2300, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2417","layer":4},{"info":"number node, value=4296","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=4296, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3790","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3790, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2609","layer":4},{"info":"number node, value=1867","layer":4},{"info":"compute binary expreesion, left_input=2609, right_input=1867, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-742","layer":3},{"info":"compute unary expreesion, input=-742, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-742","layer":2},{"info":"number node, value=5940","layer":4},{"info":"compute unary expreesion, input=5940, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=5343","layer":4},{"info":"number node, value=1226","layer":4},{"info":"compute binary expreesion, left_input=5343, right_input=1226, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-742, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪(∃⊬F59∲⫓∃⊬8FC/∃⊬971⩷∴∃⊬10C8))⨐⩸⫘(((∃⊬A31⨳⩥⨓∃⊬74B)⋫)⨸⪁((⨈⫕∃⊬1734)+∃⊬14DF∑⇟⊟∃⊬4CA))=NaN","reverse_text":"NaN=(⩦⩻⨪(∃⊬F59∲⫓∃⊬8FC/∃⊬971⩷∴∃⊬10C8))⨐⩸⫘(((∃⊬A31⨳⩥⨓∃⊬74B)⋫)⨸⪁((⨈⫕∃⊬1734)+∃⊬14DF∑⇟⊟∃⊬4CA))","cot":[{"info":"∃⊬F59∲⫓∃⊬8FC=∃⊬0","layer":3},{"info":"∃⊬971⩷∴∃⊬10C8=∃⊬-ECE","layer":3},{"info":"∃⊬0/∃⊬-ECE=∃⊬0","layer":2},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":1},{"info":"∃⊬A31⨳⩥⨓∃⊬74B=∃⊬-2E6","layer":3},{"info":"∃⊬-2E6⋫=∃⊬-2E6","layer":2},{"info":"⨈⫕∃⊬1734=∃⊬-15","layer":3},{"info":"∃⊬14DF∑⇟⊟∃⊬4CA=NaN","layer":3},{"info":"∃⊬-15+NaN=NaN","layer":2},{"info":"∃⊬-2E6⨸⪁NaN=NaN","layer":1},{"info":"∃⊬0⨐⩸⫘NaN=NaN","layer":0}]}
{"id":522,"expression_no_base_symbol":"(($4254$≋⫹)⪮%⊝($3774$≦≮≮)⫸⊐(⪝⪂⫅(⨈⫕$3452$)))⋥≓≎($2775$⪢$3820$+⇶⊼(∥⊫$3996$))⨓(⊙↵-($1609$⋫))","expression":"((∃⊬109E≋⫹)⪮%⊝(∃⊬EBE≦≮≮)⫸⊐(⪝⪂⫅(⨈⫕∃⊬D7C)))⋥≓≎(∃⊬AD7⪢∃⊬EEC+⇶⊼(∥⊫∃⊬F9C))⨓(⊙↵-(∃⊬649⋫))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7529,"operation_count":13,"complexity_ratio":579.1538461538462,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4254,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3774,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3452,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2775,"base":16},"right_expr":{"type":"numeric_atoms","value":3820,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3996,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1609,"base":16}}}}},"used_operators":["Qy55tPpLXF","mqXw5SEYmG","IWmyXbctLI","N41Kp7NANJ","D4vGDi5EA2","XTarYq4gQB","megm06wKyl","3ViojmjbAp","TpPTUOHfaN","dWAJyo7jo9","P8v4zCKN1o","oWn0xqSxBt","JL8yIekQnl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","tmPS8pqC7x"],"result":"∃⊬-3AF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4254","layer":4},{"info":"compute unary expreesion, input=4254, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8508","layer":3},{"info":"number node, value=3774","layer":4},{"info":"compute unary expreesion, input=3774, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11322","layer":3},{"info":"compute binary expreesion, left_input=-8508, right_input=-11322, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-16700","layer":2},{"info":"number node, value=3452","layer":4},{"info":"compute unary expreesion, input=3452, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":2},{"info":"compute binary expreesion, left_input=-16700, right_input=3087, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=2775","layer":4},{"info":"number node, value=3820","layer":4},{"info":"compute binary expreesion, left_input=2775, right_input=3820, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3996","layer":4},{"info":"compute unary expreesion, input=3996, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4864","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4864, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1609","layer":4},{"info":"compute unary expreesion, input=1609, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1609","layer":3},{"info":"compute unary expreesion, input=1609, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=-4, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-943","layer":0}],"base":16,"result_base":16,"text":"((∃⊬109E≋⫹)⪮%⊝(∃⊬EBE≦≮≮)⫸⊐(⪝⪂⫅(⨈⫕∃⊬D7C)))⋥≓≎(∃⊬AD7⪢∃⊬EEC+⇶⊼(∥⊫∃⊬F9C))⨓(⊙↵-(∃⊬649⋫))=∃⊬-3AF","reverse_text":"∃⊬-3AF=((∃⊬109E≋⫹)⪮%⊝(∃⊬EBE≦≮≮)⫸⊐(⪝⪂⫅(⨈⫕∃⊬D7C)))⋥≓≎(∃⊬AD7⪢∃⊬EEC+⇶⊼(∥⊫∃⊬F9C))⨓(⊙↵-(∃⊬649⋫))","cot":[{"info":"∃⊬109E≋⫹=∃⊬-213C","layer":3},{"info":"∃⊬EBE≦≮≮=∃⊬-2C3A","layer":3},{"info":"∃⊬-213C⪮%⊝∃⊬-2C3A=∃⊬-413C","layer":2},{"info":"⨈⫕∃⊬D7C=∃⊬-15","layer":3},{"info":"⪝⪂⫅∃⊬-15=∃⊬C0F","layer":2},{"info":"∃⊬-413C⫸⊐∃⊬C0F=∃⊬3C8","layer":1},{"info":"∃⊬AD7⪢∃⊬EEC=NaN","layer":3},{"info":"∥⊫∃⊬F9C=∃⊬1300","layer":3},{"info":"NaN+⇶⊼∃⊬1300=NaN","layer":2},{"info":"∃⊬649⋫=∃⊬649","layer":3},{"info":"⊙↵-∃⊬649=∃⊬-1","layer":2},{"info":"NaN⨓∃⊬-1=∃⊬-4","layer":1},{"info":"∃⊬3C8⋥≓≎∃⊬-4=∃⊬-3AF","layer":0}]}
{"id":523,"expression_no_base_symbol":"(↯⪼(⫓⪴($4535$⊪)))⇷(($2097$⩠)+⇶⊼($5993$⨽$4477$)⋳⪒($4989$≋⫹)≧⫂∧$3942$∀⇚≩$1053$)","expression":"(↯⪼(⫓⪴(∃⊬11B7⊪)))⇷((∃⊬831⩠)+⇶⊼(∃⊬1769⨽∃⊬117D)⋳⪒(∃⊬137D≋⫹)≧⫂∧∃⊬F66∀⇚≩∃⊬41D)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33991,"operation_count":11,"complexity_ratio":3090.090909090909,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4535,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2097,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":5993,"base":16},"right_expr":{"type":"numeric_atoms","value":4477,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4989,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3942,"base":16},"right_expr":{"type":"numeric_atoms","value":1053,"base":16}}}}},"used_operators":["mp7IySMOzn","8jW3W4yZS5","eLxqMNBOBk","zVYPLywUTj","12rbrZMWeM","TpPTUOHfaN","sJAwomhLZr","8HhzD0ZcuI","Ph9nP6C5qx","N41Kp7NANJ","LRNGc0VcxI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9HNa5Wba9A","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4535","layer":4},{"info":"compute unary expreesion, input=4535, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=5993","layer":4},{"info":"number node, value=4477","layer":4},{"info":"compute binary expreesion, left_input=5993, right_input=4477, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-107760264","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-107760264, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=4989","layer":4},{"info":"compute unary expreesion, input=4989, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9978","layer":3},{"info":"number node, value=3942","layer":4},{"info":"number node, value=1053","layer":4},{"info":"compute binary expreesion, left_input=3942, right_input=1053, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9978, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(↯⪼(⫓⪴(∃⊬11B7⊪)))⇷((∃⊬831⩠)+⇶⊼(∃⊬1769⨽∃⊬117D)⋳⪒(∃⊬137D≋⫹)≧⫂∧∃⊬F66∀⇚≩∃⊬41D)=NaN","reverse_text":"NaN=(↯⪼(⫓⪴(∃⊬11B7⊪)))⇷((∃⊬831⩠)+⇶⊼(∃⊬1769⨽∃⊬117D)⋳⪒(∃⊬137D≋⫹)≧⫂∧∃⊬F66∀⇚≩∃⊬41D)","cot":[{"info":"∃⊬11B7⊪=∃⊬0","layer":3},{"info":"⫓⪴∃⊬0=∃⊬0","layer":2},{"info":"↯⪼∃⊬0=∃⊬-15","layer":1},{"info":"∃⊬831⩠=∃⊬0","layer":3},{"info":"∃⊬1769⨽∃⊬117D=∃⊬-66C4A88","layer":3},{"info":"∃⊬0+⇶⊼∃⊬-66C4A88=NaN","layer":2},{"info":"∃⊬137D≋⫹=∃⊬-26FA","layer":3},{"info":"∃⊬F66∀⇚≩∃⊬41D=NaN","layer":3},{"info":"∃⊬-26FA≧⫂∧NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"∃⊬-15⇷NaN=NaN","layer":0}]}
{"id":524,"expression_no_base_symbol":"(($1094$↛⩡⫤)∸)⨟⋌⩍(($2758$*$3349$)⪘⫢($4186$⨎$1536$))⩤","expression":"((∃⊬446↛⩡⫤)∸)⨟⋌⩍((∃⊬AC6*∃⊬D15)⪘⫢(∃⊬105A⨎∃⊬600))⩤","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6369,"operation_count":7,"complexity_ratio":909.8571428571429,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1094,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2758,"base":16},"right_expr":{"type":"numeric_atoms","value":3349,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4186,"base":16},"right_expr":{"type":"numeric_atoms","value":1536,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","rGHVDoGpnC","o20kRiQErp","FU0Cs4j7VP","oacrs7FA3X","9HNa5Wba9A","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1094","layer":4},{"info":"compute unary expreesion, input=1094, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-161283","layer":3},{"info":"compute unary expreesion, input=-161283, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=2758","layer":4},{"info":"number node, value=3349","layer":4},{"info":"compute binary expreesion, left_input=2758, right_input=3349, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9236542","layer":3},{"info":"number node, value=4186","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=4186, right_input=1536, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1536","layer":3},{"info":"compute binary expreesion, left_input=9236542, right_input=1536, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=18472960","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=18472960, 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 = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬446↛⩡⫤)∸)⨟⋌⩍((∃⊬AC6*∃⊬D15)⪘⫢(∃⊬105A⨎∃⊬600))⩤=NaN","reverse_text":"NaN=((∃⊬446↛⩡⫤)∸)⨟⋌⩍((∃⊬AC6*∃⊬D15)⪘⫢(∃⊬105A⨎∃⊬600))⩤","cot":[{"info":"∃⊬446↛⩡⫤=∃⊬-27603","layer":3},{"info":"∃⊬-27603∸=∃⊬B1","layer":2},{"info":"∃⊬AC6*∃⊬D15=∃⊬8CF03E","layer":3},{"info":"∃⊬105A⨎∃⊬600=∃⊬600","layer":3},{"info":"∃⊬8CF03E⪘⫢∃⊬600=∃⊬119E000","layer":2},{"info":"∃⊬B1⨟⋌⩍∃⊬119E000=NaN","layer":1},{"info":"NaN⩤=NaN","layer":0}]}
{"id":525,"expression_no_base_symbol":"(($2017$⊭↱$1841$)⩚⊴⇥(⨰⫟⨤$3559$)⋷(⫛⫱⨽$3390$)⇷($2180$⊭↱$3591$))-((+⊝⨔$3983$)≧⫂∧(⨰⫟⨤$1882$)⩤)","expression":"((∃⊬7E1⊭↱∃⊬731)⩚⊴⇥(⨰⫟⨤∃⊬DE7)⋷(⫛⫱⨽∃⊬D3E)⇷(∃⊬884⊭↱∃⊬E07))-((+⊝⨔∃⊬F8F)≧⫂∧(⨰⫟⨤∃⊬75A)⩤)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21573,"operation_count":12,"complexity_ratio":1797.75,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2017,"base":16},"right_expr":{"type":"numeric_atoms","value":1841,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3559,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3390,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2180,"base":16},"right_expr":{"type":"numeric_atoms","value":3591,"base":16}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3983,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1882,"base":16}}}}},"used_operators":["rysDP5nf3Z","23Mk6UjR3U","NTOWxs364D","COABgblf1C","Tw270M8GLb","mp7IySMOzn","DlLNRPXxWL","Z2TMIBDE3Q","Ph9nP6C5qx","DhbWaqg5eL"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2017","layer":4},{"info":"number node, value=1841","layer":4},{"info":"compute binary expreesion, left_input=2017, right_input=1841, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-347","layer":3},{"info":"number node, value=3559","layer":4},{"info":"compute unary expreesion, input=3559, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-347, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=3390","layer":4},{"info":"compute unary expreesion, input=3390, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=2180","layer":4},{"info":"number node, value=3591","layer":4},{"info":"compute binary expreesion, left_input=2180, right_input=3591, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2827","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2827, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5654","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5654, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=3983","layer":4},{"info":"compute unary expreesion, input=3983, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1882","layer":4},{"info":"compute unary expreesion, input=1882, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , 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":"((∃⊬7E1⊭↱∃⊬731)⩚⊴⇥(⨰⫟⨤∃⊬DE7)⋷(⫛⫱⨽∃⊬D3E)⇷(∃⊬884⊭↱∃⊬E07))-((+⊝⨔∃⊬F8F)≧⫂∧(⨰⫟⨤∃⊬75A)⩤)=NaN","reverse_text":"NaN=((∃⊬7E1⊭↱∃⊬731)⩚⊴⇥(⨰⫟⨤∃⊬DE7)⋷(⫛⫱⨽∃⊬D3E)⇷(∃⊬884⊭↱∃⊬E07))-((+⊝⨔∃⊬F8F)≧⫂∧(⨰⫟⨤∃⊬75A)⩤)","cot":[{"info":"∃⊬7E1⊭↱∃⊬731=∃⊬-15B","layer":3},{"info":"⨰⫟⨤∃⊬DE7=NaN","layer":3},{"info":"∃⊬-15B⩚⊴⇥NaN=NaN","layer":2},{"info":"⫛⫱⨽∃⊬D3E=∃⊬0","layer":3},{"info":"∃⊬884⊭↱∃⊬E07=∃⊬B0B","layer":3},{"info":"∃⊬0⇷∃⊬B0B=∃⊬1616","layer":2},{"info":"NaN⋷∃⊬1616=NaN","layer":1},{"info":"+⊝⨔∃⊬F8F=∃⊬5F2","layer":3},{"info":"⨰⫟⨤∃⊬75A=NaN","layer":3},{"info":"∃⊬5F2≧⫂∧NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":526,"expression_no_base_symbol":"((⇁⨣⪵$1705$+⇶⊼$1134$)⊭↱($2792$⨟⋌⩍$1296$⨵⪆($7078$/$2110$)))⪘⫢((⊥($1121$⪒$1404$))↛⩡⫤)","expression":"((⇁⨣⪵∃⊬6A9+⇶⊼∃⊬46E)⊭↱(∃⊬AE8⨟⋌⩍∃⊬510⨵⪆(∃⊬1BA6/∃⊬83E)))⪘⫢((⊥(∃⊬461⪒∃⊬57C))↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":89,"operation_count":10,"complexity_ratio":8.9,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1705,"base":16},"right_expr":{"type":"numeric_atoms","value":1134,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2792,"base":16},"right_expr":{"type":"numeric_atoms","value":1296,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7078,"base":16},"right_expr":{"type":"numeric_atoms","value":2110,"base":16}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1121,"base":16},"right_expr":{"type":"numeric_atoms","value":1404,"base":16}}}}},"used_operators":["oacrs7FA3X","COABgblf1C","inkyxCbjAn","TpPTUOHfaN","2DQ55sFlQl","rGHVDoGpnC","XhwjNDsVaA","FU0Cs4j7VP","Q3PJZHRvZv","f6k1SAg4EE"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1705","layer":4},{"info":"number node, value=1134","layer":4},{"info":"compute binary expreesion, left_input=1705, right_input=1134, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2792","layer":4},{"info":"number node, value=1296","layer":4},{"info":"compute binary expreesion, left_input=2792, right_input=1296, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=7078","layer":4},{"info":"number node, value=2110","layer":4},{"info":"compute binary expreesion, left_input=7078, right_input=2110, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1121","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=1404, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2525","layer":3},{"info":"compute unary expreesion, input=-2525, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⇁⨣⪵∃⊬6A9+⇶⊼∃⊬46E)⊭↱(∃⊬AE8⨟⋌⩍∃⊬510⨵⪆(∃⊬1BA6/∃⊬83E)))⪘⫢((⊥(∃⊬461⪒∃⊬57C))↛⩡⫤)=NaN","reverse_text":"NaN=((⇁⨣⪵∃⊬6A9+⇶⊼∃⊬46E)⊭↱(∃⊬AE8⨟⋌⩍∃⊬510⨵⪆(∃⊬1BA6/∃⊬83E)))⪘⫢((⊥(∃⊬461⪒∃⊬57C))↛⩡⫤)","cot":[{"info":"∃⊬6A9+⇶⊼∃⊬46E=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"∃⊬AE8⨟⋌⩍∃⊬510=NaN","layer":3},{"info":"∃⊬1BA6/∃⊬83E=∃⊬3","layer":3},{"info":"NaN⨵⪆∃⊬3=∃⊬A0","layer":2},{"info":"NaN⊭↱∃⊬A0=NaN","layer":1},{"info":"∃⊬461⪒∃⊬57C=∃⊬-9DD","layer":3},{"info":"⊥∃⊬-9DD=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":527,"expression_no_base_symbol":"⫓⪴(⪝⪂⫅(∂($1515$⪨≂$1458$)))","expression":"⫓⪴(⪝⪂⫅(∂(∃⊬5EB⪨≂∃⊬5B2)))","highest_n_order":5,"priority_hierarchical_complexity":2,"normalized_expansion_degree":11,"operation_count":4,"complexity_ratio":2.75,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1515,"base":16},"right_expr":{"type":"numeric_atoms","value":1458,"base":16}}}}},"used_operators":["eLxqMNBOBk","XTarYq4gQB","Uaa54Peajs","sdazOOVcIp"],"dependent_operators":["9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1515","layer":4},{"info":"number node, value=1458","layer":4},{"info":"compute binary expreesion, left_input=1515, right_input=1458, 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=216","layer":3},{"info":"compute unary expreesion, input=216, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*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":"⫓⪴(⪝⪂⫅(∂(∃⊬5EB⪨≂∃⊬5B2)))=NaN","reverse_text":"NaN=⫓⪴(⪝⪂⫅(∂(∃⊬5EB⪨≂∃⊬5B2)))","cot":[{"info":"∃⊬5EB⪨≂∃⊬5B2=∃⊬D8","layer":3},{"info":"∂∃⊬D8=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":528,"expression_no_base_symbol":"$3084$⪮%⊝$1223$⩷∴($1639$⨽$6016$)⋳⪒(⊙↵-($8050$≣⋋))⨳⩥⨓((↯⪼$1069$)⫥∨⫟$1879$⨪↰⇹$7262$)⋓($1026$≹⇙⪍$1646$⨰(⊙↵-$1015$))","expression":"∃⊬C0C⪮%⊝∃⊬4C7⩷∴(∃⊬667⨽∃⊬1780)⋳⪒(⊙↵-(∃⊬1F72≣⋋))⨳⩥⨓((↯⪼∃⊬42D)⫥∨⫟∃⊬757⨪↰⇹∃⊬1C5E)⋓(∃⊬402≹⇙⪍∃⊬66E⨰(⊙↵-∃⊬3F7))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5359,"operation_count":14,"complexity_ratio":382.7857142857143,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3084,"base":16},"right_expr":{"type":"numeric_atoms","value":1223,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1639,"base":16},"right_expr":{"type":"numeric_atoms","value":6016,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":8050,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"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":1879,"base":16},"right_expr":{"type":"numeric_atoms","value":7262,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":1646,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1015,"base":16}}}}},"used_operators":["nCS4ZIUYfx","12rbrZMWeM","9FxExcQeMw","IWmyXbctLI","8HhzD0ZcuI","oWn0xqSxBt","Tcnh7f0tEr","T2fj7uvVaJ","KYD54nUTWz","8jW3W4yZS5","tmPS8pqC7x","eewbuw0ToL","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3084","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=3084, right_input=1223, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6484","layer":3},{"info":"number node, value=1639","layer":4},{"info":"number node, value=6016","layer":4},{"info":"compute binary expreesion, left_input=1639, right_input=6016, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-8075697","layer":3},{"info":"compute binary expreesion, left_input=6484, right_input=-8075697, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=16164330","layer":2},{"info":"number node, value=8050","layer":4},{"info":"compute unary expreesion, input=8050, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=16164330, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=32328373","layer":1},{"info":"number node, value=1069","layer":4},{"info":"compute unary expreesion, input=1069, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1879","layer":4},{"info":"number node, value=7262","layer":4},{"info":"compute binary expreesion, left_input=1879, right_input=7262, 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=1879","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1879, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=1646","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=1646, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"compute unary expreesion, input=1015, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=32328373, 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":"∃⊬C0C⪮%⊝∃⊬4C7⩷∴(∃⊬667⨽∃⊬1780)⋳⪒(⊙↵-(∃⊬1F72≣⋋))⨳⩥⨓((↯⪼∃⊬42D)⫥∨⫟∃⊬757⨪↰⇹∃⊬1C5E)⋓(∃⊬402≹⇙⪍∃⊬66E⨰(⊙↵-∃⊬3F7))=NaN","reverse_text":"NaN=∃⊬C0C⪮%⊝∃⊬4C7⩷∴(∃⊬667⨽∃⊬1780)⋳⪒(⊙↵-(∃⊬1F72≣⋋))⨳⩥⨓((↯⪼∃⊬42D)⫥∨⫟∃⊬757⨪↰⇹∃⊬1C5E)⋓(∃⊬402≹⇙⪍∃⊬66E⨰(⊙↵-∃⊬3F7))","cot":[{"info":"∃⊬C0C⪮%⊝∃⊬4C7=∃⊬1954","layer":3},{"info":"∃⊬667⨽∃⊬1780=∃⊬-7B39B1","layer":3},{"info":"∃⊬1954⩷∴∃⊬-7B39B1=∃⊬F6A5EA","layer":2},{"info":"∃⊬1F72≣⋋=∃⊬0","layer":3},{"info":"⊙↵-∃⊬0=∃⊬0","layer":2},{"info":"∃⊬F6A5EA⋳⪒∃⊬0=∃⊬1ED4AB5","layer":1},{"info":"↯⪼∃⊬42D=∃⊬-15","layer":3},{"info":"∃⊬757⨪↰⇹∃⊬1C5E=∃⊬757","layer":3},{"info":"∃⊬-15⫥∨⫟∃⊬757=NaN","layer":2},{"info":"∃⊬402≹⇙⪍∃⊬66E=NaN","layer":3},{"info":"⊙↵-∃⊬3F7=∃⊬-1","layer":3},{"info":"NaN⨰∃⊬-1=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"∃⊬1ED4AB5⨳⩥⨓NaN=NaN","layer":0}]}
{"id":529,"expression_no_base_symbol":"(($6126$/$2676$)⇋≉)⩨(⪝⪂⫅($1264$⇼⇔∾$2322$))⊉≛↸(↔$4293$)⇷$1465$⪛$4575$⨐⩸⫘($3958$⪘⫢$1514$↪⪝)","expression":"((∃⊬17EE/∃⊬A74)⇋≉)⩨(⪝⪂⫅(∃⊬4F0⇼⇔∾∃⊬912))⊉≛↸(↔∃⊬10C5)⇷∃⊬5B9⪛∃⊬11DF⨐⩸⫘(∃⊬F76⪘⫢∃⊬5EA↪⪝)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":58831,"operation_count":12,"complexity_ratio":4902.583333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6126,"base":16},"right_expr":{"type":"numeric_atoms","value":2676,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1264,"base":16},"right_expr":{"type":"numeric_atoms","value":2322,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4293,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1465,"base":16},"right_expr":{"type":"numeric_atoms","value":4575,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3958,"base":16},"right_expr":{"type":"numeric_atoms","value":1514,"base":16}}}}},"used_operators":["DZ8iAZOCBD","2DlMacCsIx","XIabStNQrY","XhwjNDsVaA","XTarYq4gQB","tifHPKVTfV","fu6greOZ01","mp7IySMOzn","ruOEQAzv1W","uFcxV4UQCh","l07mrZUIn9","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6126","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=6126, right_input=2676, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-94","layer":2},{"info":"number node, value=1264","layer":4},{"info":"number node, value=2322","layer":4},{"info":"compute binary expreesion, left_input=1264, right_input=2322, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1058","layer":3},{"info":"compute unary expreesion, input=1058, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-155526","layer":2},{"info":"compute binary expreesion, left_input=-94, right_input=-155526, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-4962","layer":1},{"info":"number node, value=4293","layer":4},{"info":"compute unary expreesion, input=4293, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4020","layer":3},{"info":"number node, value=1465","layer":4},{"info":"number node, value=4575","layer":4},{"info":"compute binary expreesion, left_input=1465, right_input=4575, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1465","layer":3},{"info":"compute binary expreesion, left_input=-4020, right_input=1465, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2930","layer":2},{"info":"number node, value=3958","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=3958, right_input=1514, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=7792","layer":3},{"info":"compute unary expreesion, input=7792, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=476730144","layer":2},{"info":"compute binary expreesion, left_input=2930, right_input=476730144, 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=-4962, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬17EE/∃⊬A74)⇋≉)⩨(⪝⪂⫅(∃⊬4F0⇼⇔∾∃⊬912))⊉≛↸(↔∃⊬10C5)⇷∃⊬5B9⪛∃⊬11DF⨐⩸⫘(∃⊬F76⪘⫢∃⊬5EA↪⪝)=NaN","reverse_text":"NaN=((∃⊬17EE/∃⊬A74)⇋≉)⩨(⪝⪂⫅(∃⊬4F0⇼⇔∾∃⊬912))⊉≛↸(↔∃⊬10C5)⇷∃⊬5B9⪛∃⊬11DF⨐⩸⫘(∃⊬F76⪘⫢∃⊬5EA↪⪝)","cot":[{"info":"∃⊬17EE/∃⊬A74=∃⊬2","layer":3},{"info":"∃⊬2⇋≉=∃⊬-5E","layer":2},{"info":"∃⊬4F0⇼⇔∾∃⊬912=∃⊬422","layer":3},{"info":"⪝⪂⫅∃⊬422=∃⊬-25F86","layer":2},{"info":"∃⊬-5E⩨∃⊬-25F86=∃⊬-1362","layer":1},{"info":"↔∃⊬10C5=∃⊬-FB4","layer":3},{"info":"∃⊬5B9⪛∃⊬11DF=∃⊬5B9","layer":3},{"info":"∃⊬-FB4⇷∃⊬5B9=∃⊬B72","layer":2},{"info":"∃⊬F76⪘⫢∃⊬5EA=∃⊬1E70","layer":3},{"info":"∃⊬1E70↪⪝=∃⊬1C6A5320","layer":2},{"info":"∃⊬B72⨐⩸⫘∃⊬1C6A5320=NaN","layer":1},{"info":"∃⊬-1362⊉≛↸NaN=NaN","layer":0}]}
{"id":530,"expression_no_base_symbol":"($2564$≧⫂∧$3102$≎⊠⪸($4326$/$8681$))⨓($3054$↬$1104$⋳⪒(⨑⩽⪐$5729$))/((($4690$⪐)⨁⊸⫻)⫡⨏(↽≂($1810$⫡⨏$9047$)))","expression":"(∃⊬A04≧⫂∧∃⊬C1E≎⊠⪸(∃⊬10E6/∃⊬21E9))⨓(∃⊬BEE↬∃⊬450⋳⪒(⨑⩽⪐∃⊬1661))/(((∃⊬1252⪐)⨁⊸⫻)⫡⨏(↽≂(∃⊬712⫡⨏∃⊬2357)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":312,"operation_count":13,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2564,"base":16},"right_expr":{"type":"numeric_atoms","value":3102,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4326,"base":16},"right_expr":{"type":"numeric_atoms","value":8681,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3054,"base":16},"right_expr":{"type":"numeric_atoms","value":1104,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5729,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4690,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1810,"base":16},"right_expr":{"type":"numeric_atoms","value":9047,"base":16}}}}},"used_operators":["XhwjNDsVaA","3ViojmjbAp","bJkvcejdHO","Ph9nP6C5qx","12rbrZMWeM","B5M0gjZbta","AF7qkfDlqP","QMFrweE19q","glklzrTFfD","eH2TOUuTDT","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2564","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=3102, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2629","layer":3},{"info":"number node, value=4326","layer":4},{"info":"number node, value=8681","layer":4},{"info":"compute binary expreesion, left_input=4326, right_input=8681, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=2629, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=680438","layer":2},{"info":"number node, value=3054","layer":4},{"info":"number node, value=1104","layer":4},{"info":"compute binary expreesion, left_input=3054, right_input=1104, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5729","layer":4},{"info":"compute unary expreesion, input=5729, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5456","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5456, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=680438, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=4690","layer":4},{"info":"compute unary expreesion, input=4690, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9380","layer":3},{"info":"compute unary expreesion, input=9380, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=9380","layer":2},{"info":"number node, value=1810","layer":4},{"info":"number node, value=9047","layer":4},{"info":"compute binary expreesion, left_input=1810, right_input=9047, 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=27927","layer":3},{"info":"compute unary expreesion, input=27927, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-55854","layer":2},{"info":"compute binary expreesion, left_input=9380, right_input=-55854, 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=-64025","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-64025, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬A04≧⫂∧∃⊬C1E≎⊠⪸(∃⊬10E6/∃⊬21E9))⨓(∃⊬BEE↬∃⊬450⋳⪒(⨑⩽⪐∃⊬1661))/(((∃⊬1252⪐)⨁⊸⫻)⫡⨏(↽≂(∃⊬712⫡⨏∃⊬2357)))=NaN","reverse_text":"NaN=(∃⊬A04≧⫂∧∃⊬C1E≎⊠⪸(∃⊬10E6/∃⊬21E9))⨓(∃⊬BEE↬∃⊬450⋳⪒(⨑⩽⪐∃⊬1661))/(((∃⊬1252⪐)⨁⊸⫻)⫡⨏(↽≂(∃⊬712⫡⨏∃⊬2357)))","cot":[{"info":"∃⊬A04≧⫂∧∃⊬C1E=∃⊬A45","layer":3},{"info":"∃⊬10E6/∃⊬21E9=∃⊬0","layer":3},{"info":"∃⊬A45≎⊠⪸∃⊬0=∃⊬A61F6","layer":2},{"info":"∃⊬BEE↬∃⊬450=NaN","layer":3},{"info":"⨑⩽⪐∃⊬1661=∃⊬-1550","layer":3},{"info":"NaN⋳⪒∃⊬-1550=NaN","layer":2},{"info":"∃⊬A61F6⨓NaN=NaN","layer":1},{"info":"∃⊬1252⪐=∃⊬24A4","layer":3},{"info":"∃⊬24A4⨁⊸⫻=∃⊬24A4","layer":2},{"info":"∃⊬712⫡⨏∃⊬2357=∃⊬6D17","layer":3},{"info":"↽≂∃⊬6D17=∃⊬-DA2E","layer":2},{"info":"∃⊬24A4⫡⨏∃⊬-DA2E=∃⊬-FA19","layer":1},{"info":"NaN/∃⊬-FA19=NaN","layer":0}]}
{"id":531,"expression_no_base_symbol":"((∂$3229$)⊭↱($1443$⨸⪁$5358$))⋥≓≎($7986$≭$2234$+$3089$⪢$1724$)%(($1301$⨁⊸⫻)%$4185$⪢$3619$)⪘⫢(⪝⪂⫅$1548$)⪢(↽≂$2338$)","expression":"((∂∃⊬C9D)⊭↱(∃⊬5A3⨸⪁∃⊬14EE))⋥≓≎(∃⊬1F32≭∃⊬8BA+∃⊬C11⪢∃⊬6BC)%((∃⊬515⨁⊸⫻)%∃⊬1059⪢∃⊬E23)⪘⫢(⪝⪂⫅∃⊬60C)⪢(↽≂∃⊬922)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17442,"operation_count":15,"complexity_ratio":1162.8,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3229,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1443,"base":16},"right_expr":{"type":"numeric_atoms","value":5358,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":7986,"base":16},"right_expr":{"type":"numeric_atoms","value":2234,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3089,"base":16},"right_expr":{"type":"numeric_atoms","value":1724,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"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":4185,"base":16},"right_expr":{"type":"numeric_atoms","value":3619,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1548,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2338,"base":16}}}}},"used_operators":["k8jYdgA6NY","Qy55tPpLXF","COABgblf1C","Uaa54Peajs","g55IO6H4Gj","W4YGzv6Whe","rxpJgHHUmx","dWAJyo7jo9","oacrs7FA3X","glklzrTFfD","XTarYq4gQB","u6S6b8DprG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","AHs5Up7iyr","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3229","layer":4},{"info":"compute unary expreesion, input=3229, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=1443","layer":4},{"info":"number node, value=5358","layer":4},{"info":"compute binary expreesion, left_input=1443, right_input=5358, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13602","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13602, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=7986","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=7986, right_input=2234, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3089","layer":4},{"info":"number node, value=1724","layer":4},{"info":"compute binary expreesion, left_input=3089, right_input=1724, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"number node, value=1301","layer":4},{"info":"compute unary expreesion, input=1301, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1301","layer":3},{"info":"number node, value=4185","layer":4},{"info":"number node, value=3619","layer":4},{"info":"compute binary expreesion, left_input=4185, right_input=3619, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1301, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1548","layer":4},{"info":"compute unary expreesion, input=1548, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-227556","layer":3},{"info":"number node, value=2338","layer":4},{"info":"compute unary expreesion, input=2338, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4676","layer":3},{"info":"compute binary expreesion, left_input=-227556, right_input=-4676, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∂∃⊬C9D)⊭↱(∃⊬5A3⨸⪁∃⊬14EE))⋥≓≎(∃⊬1F32≭∃⊬8BA+∃⊬C11⪢∃⊬6BC)%((∃⊬515⨁⊸⫻)%∃⊬1059⪢∃⊬E23)⪘⫢(⪝⪂⫅∃⊬60C)⪢(↽≂∃⊬922)=NaN","reverse_text":"NaN=((∂∃⊬C9D)⊭↱(∃⊬5A3⨸⪁∃⊬14EE))⋥≓≎(∃⊬1F32≭∃⊬8BA+∃⊬C11⪢∃⊬6BC)%((∃⊬515⨁⊸⫻)%∃⊬1059⪢∃⊬E23)⪘⫢(⪝⪂⫅∃⊬60C)⪢(↽≂∃⊬922)","cot":[{"info":"∂∃⊬C9D=NaN","layer":3},{"info":"∃⊬5A3⨸⪁∃⊬14EE=∃⊬3522","layer":3},{"info":"NaN⊭↱∃⊬3522=NaN","layer":2},{"info":"∃⊬1F32≭∃⊬8BA=NaN","layer":3},{"info":"∃⊬C11⪢∃⊬6BC=NaN","layer":3},{"info":"NaN+NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":1},{"info":"∃⊬515⨁⊸⫻=∃⊬515","layer":3},{"info":"∃⊬1059⪢∃⊬E23=NaN","layer":3},{"info":"∃⊬515%NaN=NaN","layer":2},{"info":"⪝⪂⫅∃⊬60C=∃⊬-378E4","layer":3},{"info":"↽≂∃⊬922=∃⊬-1244","layer":3},{"info":"∃⊬-378E4⪢∃⊬-1244=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"∃⊬43%NaN=NaN","layer":0}]}
{"id":532,"expression_no_base_symbol":"$4799$∼$1250$⨎($1011$⨎$4485$)⇼⇔∾(($3250$⪒$8476$)⪒(↣≠⋷$2168$))⫡⨏(⩦⩻⨪($2893$↬$3098$⪐))","expression":"∃⊬12BF∼∃⊬4E2⨎(∃⊬3F3⨎∃⊬1185)⇼⇔∾((∃⊬CB2⪒∃⊬211C)⪒(↣≠⋷∃⊬878))⫡⨏(⩦⩻⨪(∃⊬B4D↬∃⊬C1A⪐))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":122,"operation_count":11,"complexity_ratio":11.090909090909092,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4799,"base":16},"right_expr":{"type":"numeric_atoms","value":1250,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1011,"base":16},"right_expr":{"type":"numeric_atoms","value":4485,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3250,"base":16},"right_expr":{"type":"numeric_atoms","value":8476,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2168,"base":16}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2893,"base":16},"right_expr":{"type":"numeric_atoms","value":3098,"base":16}}}}},"used_operators":["QMFrweE19q","tifHPKVTfV","rJVOvQCfKK","DyGG3AbaNP","f6k1SAg4EE","Asc51vEJeQ","2td37pGCOC","eH2TOUuTDT","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4799","layer":4},{"info":"number node, value=1250","layer":4},{"info":"compute binary expreesion, left_input=4799, right_input=1250, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1011","layer":4},{"info":"number node, value=4485","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4485, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4485","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4485, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4485","layer":2},{"info":"number node, value=3250","layer":4},{"info":"number node, value=8476","layer":4},{"info":"compute binary expreesion, left_input=3250, right_input=8476, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-11726","layer":3},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11726, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4485, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2893","layer":4},{"info":"number node, value=3098","layer":4},{"info":"compute binary expreesion, left_input=2893, right_input=3098, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"∃⊬12BF∼∃⊬4E2⨎(∃⊬3F3⨎∃⊬1185)⇼⇔∾((∃⊬CB2⪒∃⊬211C)⪒(↣≠⋷∃⊬878))⫡⨏(⩦⩻⨪(∃⊬B4D↬∃⊬C1A⪐))=NaN","reverse_text":"NaN=∃⊬12BF∼∃⊬4E2⨎(∃⊬3F3⨎∃⊬1185)⇼⇔∾((∃⊬CB2⪒∃⊬211C)⪒(↣≠⋷∃⊬878))⫡⨏(⩦⩻⨪(∃⊬B4D↬∃⊬C1A⪐))","cot":[{"info":"∃⊬12BF∼∃⊬4E2=NaN","layer":3},{"info":"∃⊬3F3⨎∃⊬1185=∃⊬1185","layer":3},{"info":"NaN⨎∃⊬1185=∃⊬1185","layer":2},{"info":"∃⊬CB2⪒∃⊬211C=∃⊬-2DCE","layer":3},{"info":"↣≠⋷∃⊬878=NaN","layer":3},{"info":"∃⊬-2DCE⪒NaN=NaN","layer":2},{"info":"∃⊬1185⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬B4D↬∃⊬C1A=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":533,"expression_no_base_symbol":"((↔($8843$∼$3334$))⊭∹↮)⋷((∂$4004$)-$3758$⫸⊐$4407$)⇼⇔∾($1202$⩚⊴⇥$2625$)⨓$4496$⪘⫢$3929$","expression":"((↔(∃⊬228B∼∃⊬D06))⊭∹↮)⋷((∂∃⊬FA4)-∃⊬EAE⫸⊐∃⊬1137)⇼⇔∾(∃⊬4B2⩚⊴⇥∃⊬A41)⨓∃⊬1190⪘⫢∃⊬F59","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9120,"operation_count":11,"complexity_ratio":829.0909090909091,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8843,"base":16},"right_expr":{"type":"numeric_atoms","value":3334,"base":16}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4004,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3758,"base":16},"right_expr":{"type":"numeric_atoms","value":4407,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1202,"base":16},"right_expr":{"type":"numeric_atoms","value":2625,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4496,"base":16},"right_expr":{"type":"numeric_atoms","value":3929,"base":16}}}}},"used_operators":["23Mk6UjR3U","xNBdhnnwKq","ruOEQAzv1W","DyGG3AbaNP","tifHPKVTfV","rysDP5nf3Z","Uaa54Peajs","mqXw5SEYmG","3ViojmjbAp","NTOWxs364D","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬10C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8843","layer":4},{"info":"number node, value=3334","layer":4},{"info":"compute binary expreesion, left_input=8843, right_input=3334, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-134","layer":1},{"info":"number node, value=4004","layer":4},{"info":"compute unary expreesion, input=4004, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=3758","layer":4},{"info":"number node, value=4407","layer":4},{"info":"compute binary expreesion, left_input=3758, right_input=4407, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17503","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=17503, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=2625","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=2625, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3948","layer":3},{"info":"number node, value=4496","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=4496, right_input=3929, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8868","layer":3},{"info":"compute binary expreesion, left_input=-3948, right_input=8868, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-8871","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-8871, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=268","layer":0}],"base":16,"result_base":16,"text":"((↔(∃⊬228B∼∃⊬D06))⊭∹↮)⋷((∂∃⊬FA4)-∃⊬EAE⫸⊐∃⊬1137)⇼⇔∾(∃⊬4B2⩚⊴⇥∃⊬A41)⨓∃⊬1190⪘⫢∃⊬F59=∃⊬10C","reverse_text":"∃⊬10C=((↔(∃⊬228B∼∃⊬D06))⊭∹↮)⋷((∂∃⊬FA4)-∃⊬EAE⫸⊐∃⊬1137)⇼⇔∾(∃⊬4B2⩚⊴⇥∃⊬A41)⨓∃⊬1190⪘⫢∃⊬F59","cot":[{"info":"∃⊬228B∼∃⊬D06=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"∃⊬-86⊭∹↮=∃⊬-86","layer":1},{"info":"∂∃⊬FA4=NaN","layer":3},{"info":"∃⊬EAE⫸⊐∃⊬1137=∃⊬445F","layer":3},{"info":"NaN-∃⊬445F=NaN","layer":2},{"info":"∃⊬4B2⩚⊴⇥∃⊬A41=∃⊬-F6C","layer":3},{"info":"∃⊬1190⪘⫢∃⊬F59=∃⊬22A4","layer":3},{"info":"∃⊬-F6C⨓∃⊬22A4=∃⊬-22A7","layer":2},{"info":"NaN⇼⇔∾∃⊬-22A7=NaN","layer":1},{"info":"∃⊬-86⋷NaN=∃⊬10C","layer":0}]}
{"id":534,"expression_no_base_symbol":"((($1319$⊭∹↮)⇋≉)≧⫂∧(($5805$⫡⨏$4138$)⇼⇔∾$2108$⩚⊴⇥$1243$))⪢((⨞⊢$1623$⨐⩸⫘$1174$)⋷$1274$⊴$2861$∀⇚≩(⋗⩬⋾$6293$))","expression":"(((∃⊬527⊭∹↮)⇋≉)≧⫂∧((∃⊬16AD⫡⨏∃⊬102A)⇼⇔∾∃⊬83C⩚⊴⇥∃⊬4DB))⪢((⨞⊢∃⊬657⨐⩸⫘∃⊬496)⋷∃⊬4FA⊴∃⊬B2D∀⇚≩(⋗⩬⋾∃⊬1895))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2900,"operation_count":13,"complexity_ratio":223.07692307692307,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1319,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5805,"base":16},"right_expr":{"type":"numeric_atoms","value":4138,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2108,"base":16},"right_expr":{"type":"numeric_atoms","value":1243,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1623,"base":16},"right_expr":{"type":"numeric_atoms","value":1174,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1274,"base":16},"right_expr":{"type":"numeric_atoms","value":2861,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6293,"base":16}}}}},"used_operators":["dWAJyo7jo9","Ph9nP6C5qx","XIabStNQrY","xNBdhnnwKq","tifHPKVTfV","QMFrweE19q","NTOWxs364D","23Mk6UjR3U","xUOZtlo3hN","fu6greOZ01","LRNGc0VcxI","Nsiff2A1zJ","DpFCA1CohY"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1319","layer":4},{"info":"compute unary expreesion, input=1319, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2638","layer":3},{"info":"compute unary expreesion, input=2638, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5178","layer":2},{"info":"number node, value=5805","layer":4},{"info":"number node, value=4138","layer":4},{"info":"compute binary expreesion, left_input=5805, right_input=4138, 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=38084","layer":3},{"info":"number node, value=2108","layer":4},{"info":"number node, value=1243","layer":4},{"info":"compute binary expreesion, left_input=2108, right_input=1243, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3472","layer":3},{"info":"compute binary expreesion, left_input=38084, right_input=-3472, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-41556","layer":2},{"info":"compute binary expreesion, left_input=5178, right_input=-41556, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=46734","layer":1},{"info":"number node, value=1623","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=1623, right_input=1174, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"number node, value=1274","layer":4},{"info":"number node, value=2861","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=2861, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=6293","layer":4},{"info":"compute unary expreesion, input=6293, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-18879","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-18879, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=46734, 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":"(((∃⊬527⊭∹↮)⇋≉)≧⫂∧((∃⊬16AD⫡⨏∃⊬102A)⇼⇔∾∃⊬83C⩚⊴⇥∃⊬4DB))⪢((⨞⊢∃⊬657⨐⩸⫘∃⊬496)⋷∃⊬4FA⊴∃⊬B2D∀⇚≩(⋗⩬⋾∃⊬1895))=NaN","reverse_text":"NaN=(((∃⊬527⊭∹↮)⇋≉)≧⫂∧((∃⊬16AD⫡⨏∃⊬102A)⇼⇔∾∃⊬83C⩚⊴⇥∃⊬4DB))⪢((⨞⊢∃⊬657⨐⩸⫘∃⊬496)⋷∃⊬4FA⊴∃⊬B2D∀⇚≩(⋗⩬⋾∃⊬1895))","cot":[{"info":"∃⊬527⊭∹↮=∃⊬A4E","layer":3},{"info":"∃⊬A4E⇋≉=∃⊬143A","layer":2},{"info":"∃⊬16AD⫡⨏∃⊬102A=∃⊬94C4","layer":3},{"info":"∃⊬83C⩚⊴⇥∃⊬4DB=∃⊬-D90","layer":3},{"info":"∃⊬94C4⇼⇔∾∃⊬-D90=∃⊬-A254","layer":2},{"info":"∃⊬143A≧⫂∧∃⊬-A254=∃⊬B68E","layer":1},{"info":"∃⊬657⨐⩸⫘∃⊬496=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"∃⊬4FA⊴∃⊬B2D=NaN","layer":3},{"info":"⋗⩬⋾∃⊬1895=∃⊬-49BF","layer":3},{"info":"NaN∀⇚≩∃⊬-49BF=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"∃⊬B68E⪢NaN=NaN","layer":0}]}
{"id":535,"expression_no_base_symbol":"($3027$∀⇚≩$5747$⫡⨏$6310$⊴$1159$)⇼⇔∾((↥$4486$)⋷$4341$⨰$6990$)⫡⨏(($3512$∲⫓$3164$)-$1079$-$4590$)⋥≓≎(⨞⊢(∂$2433$))","expression":"(∃⊬BD3∀⇚≩∃⊬1673⫡⨏∃⊬18A6⊴∃⊬487)⇼⇔∾((↥∃⊬1186)⋷∃⊬10F5⨰∃⊬1B4E)⫡⨏((∃⊬DB8∲⫓∃⊬C5C)-∃⊬437-∃⊬11EE)⋥≓≎(⨞⊢(∂∃⊬981))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":23257,"operation_count":14,"complexity_ratio":1661.2142857142858,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3027,"base":16},"right_expr":{"type":"numeric_atoms","value":5747,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":6310,"base":16},"right_expr":{"type":"numeric_atoms","value":1159,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4486,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4341,"base":16},"right_expr":{"type":"numeric_atoms","value":6990,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3512,"base":16},"right_expr":{"type":"numeric_atoms","value":3164,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1079,"base":16},"right_expr":{"type":"numeric_atoms","value":4590,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2433,"base":16}}}}},"used_operators":["QMFrweE19q","tifHPKVTfV","LRNGc0VcxI","Nsiff2A1zJ","23Mk6UjR3U","A8NUZmVepG","eewbuw0ToL","Qy55tPpLXF","rysDP5nf3Z","i8ToyICDmI","xUOZtlo3hN","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"number node, value=5747","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=5747, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6310","layer":4},{"info":"number node, value=1159","layer":4},{"info":"compute binary expreesion, left_input=6310, right_input=1159, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=4486","layer":4},{"info":"compute unary expreesion, input=4486, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=49","layer":3},{"info":"number node, value=4341","layer":4},{"info":"number node, value=6990","layer":4},{"info":"compute binary expreesion, left_input=4341, right_input=6990, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2639","layer":3},{"info":"compute binary expreesion, left_input=49, right_input=-2639, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-98","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-98, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3512","layer":4},{"info":"number node, value=3164","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=3164, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1079","layer":4},{"info":"number node, value=4590","layer":4},{"info":"compute binary expreesion, left_input=1079, right_input=4590, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3511","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-3511, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3511","layer":2},{"info":"number node, value=2433","layer":4},{"info":"compute unary expreesion, input=2433, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3511, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬BD3∀⇚≩∃⊬1673⫡⨏∃⊬18A6⊴∃⊬487)⇼⇔∾((↥∃⊬1186)⋷∃⊬10F5⨰∃⊬1B4E)⫡⨏((∃⊬DB8∲⫓∃⊬C5C)-∃⊬437-∃⊬11EE)⋥≓≎(⨞⊢(∂∃⊬981))=NaN","reverse_text":"NaN=(∃⊬BD3∀⇚≩∃⊬1673⫡⨏∃⊬18A6⊴∃⊬487)⇼⇔∾((↥∃⊬1186)⋷∃⊬10F5⨰∃⊬1B4E)⫡⨏((∃⊬DB8∲⫓∃⊬C5C)-∃⊬437-∃⊬11EE)⋥≓≎(⨞⊢(∂∃⊬981))","cot":[{"info":"∃⊬BD3∀⇚≩∃⊬1673=NaN","layer":3},{"info":"∃⊬18A6⊴∃⊬487=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"↥∃⊬1186=∃⊬31","layer":3},{"info":"∃⊬10F5⨰∃⊬1B4E=∃⊬-A4F","layer":3},{"info":"∃⊬31⋷∃⊬-A4F=∃⊬-62","layer":2},{"info":"NaN⇼⇔∾∃⊬-62=NaN","layer":1},{"info":"∃⊬DB8∲⫓∃⊬C5C=∃⊬0","layer":3},{"info":"∃⊬437-∃⊬11EE=∃⊬-DB7","layer":3},{"info":"∃⊬0-∃⊬-DB7=∃⊬DB7","layer":2},{"info":"∂∃⊬981=NaN","layer":3},{"info":"⨞⊢NaN=NaN","layer":2},{"info":"∃⊬DB7⋥≓≎NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":536,"expression_no_base_symbol":"($3844$⪮%⊝$6089$)⊴(≉$2306$)⨰((≤/$2263$)⨳⩥⨓(⫓⪴$5663$))⩷∴(((⫓⪴$5720$)⨵⪆(⫛⫱⨽$1453$))≎⊠⪸(≤/(⊥$1218$)))","expression":"(∃⊬F04⪮%⊝∃⊬17C9)⊴(≉∃⊬902)⨰((≤/∃⊬8D7)⨳⩥⨓(⫓⪴∃⊬161F))⩷∴(((⫓⪴∃⊬1658)⨵⪆(⫛⫱⨽∃⊬5AD))≎⊠⪸(≤/(⊥∃⊬4C2)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":16397,"operation_count":14,"complexity_ratio":1171.2142857142858,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3844,"base":16},"right_expr":{"type":"numeric_atoms","value":6089,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2306,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2263,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5663,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":5720,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1453,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1218,"base":16}}}}},"used_operators":["9FxExcQeMw","eewbuw0ToL","Nsiff2A1zJ","IWmyXbctLI","e1ybzncUwg","nCS4ZIUYfx","eLAdDNolq6","eLxqMNBOBk","bJkvcejdHO","2DQ55sFlQl","DlLNRPXxWL","Q3PJZHRvZv"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3844","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=6089, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=8004","layer":3},{"info":"number node, value=2306","layer":4},{"info":"compute unary expreesion, input=2306, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2837","layer":3},{"info":"compute binary expreesion, left_input=8004, right_input=2837, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1779","layer":3},{"info":"number node, value=5663","layer":4},{"info":"compute unary expreesion, input=5663, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32069569","layer":3},{"info":"compute binary expreesion, left_input=-1779, right_input=32069569, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=32071348","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=32071348, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=5720","layer":4},{"info":"compute unary expreesion, input=5720, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=32718400","layer":3},{"info":"number node, value=1453","layer":4},{"info":"compute unary expreesion, input=1453, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=32718400, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1218","layer":4},{"info":"compute unary expreesion, input=1218, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬F04⪮%⊝∃⊬17C9)⊴(≉∃⊬902)⨰((≤/∃⊬8D7)⨳⩥⨓(⫓⪴∃⊬161F))⩷∴(((⫓⪴∃⊬1658)⨵⪆(⫛⫱⨽∃⊬5AD))≎⊠⪸(≤/(⊥∃⊬4C2)))=NaN","reverse_text":"NaN=(∃⊬F04⪮%⊝∃⊬17C9)⊴(≉∃⊬902)⨰((≤/∃⊬8D7)⨳⩥⨓(⫓⪴∃⊬161F))⩷∴(((⫓⪴∃⊬1658)⨵⪆(⫛⫱⨽∃⊬5AD))≎⊠⪸(≤/(⊥∃⊬4C2)))","cot":[{"info":"∃⊬F04⪮%⊝∃⊬17C9=∃⊬1F44","layer":3},{"info":"≉∃⊬902=∃⊬B15","layer":3},{"info":"∃⊬1F44⊴∃⊬B15=NaN","layer":2},{"info":"≤/∃⊬8D7=∃⊬-6F3","layer":3},{"info":"⫓⪴∃⊬161F=∃⊬1E957C1","layer":3},{"info":"∃⊬-6F3⨳⩥⨓∃⊬1E957C1=∃⊬1E95EB4","layer":2},{"info":"NaN⨰∃⊬1E95EB4=NaN","layer":1},{"info":"⫓⪴∃⊬1658=∃⊬1F33E40","layer":3},{"info":"⫛⫱⨽∃⊬5AD=∃⊬0","layer":3},{"info":"∃⊬1F33E40⨵⪆∃⊬0=∃⊬A0","layer":2},{"info":"⊥∃⊬4C2=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬A0≎⊠⪸NaN=∃⊬43","layer":1},{"info":"NaN⩷∴∃⊬43=NaN","layer":0}]}
{"id":537,"expression_no_base_symbol":"(⨞⊢($1079$↪⪝))≹⇙⪍(≉(↣≠⋷$5073$))⨰(⪝⪂⫅(($2375$⩷∴$6688$)⨓($1106$*$1328$)))","expression":"(⨞⊢(∃⊬437↪⪝))≹⇙⪍(≉(↣≠⋷∃⊬13D1))⨰(⪝⪂⫅((∃⊬947⩷∴∃⊬1A20)⨓(∃⊬452*∃⊬530)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1836,"operation_count":10,"complexity_ratio":183.6,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1079,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5073,"base":16}}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2375,"base":16},"right_expr":{"type":"numeric_atoms","value":6688,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1106,"base":16},"right_expr":{"type":"numeric_atoms","value":1328,"base":16}}}}},"used_operators":["eewbuw0ToL","AHs5Up7iyr","xUOZtlo3hN","l07mrZUIn9","e1ybzncUwg","Asc51vEJeQ","XTarYq4gQB","3ViojmjbAp","9FxExcQeMw","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1079","layer":4},{"info":"compute unary expreesion, input=1079, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=66015378","layer":3},{"info":"compute unary expreesion, input=66015378, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-66015552","layer":2},{"info":"number node, value=5073","layer":4},{"info":"compute unary expreesion, input=5073, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-66015552, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2375","layer":4},{"info":"number node, value=6688","layer":4},{"info":"compute binary expreesion, left_input=2375, right_input=6688, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8658","layer":3},{"info":"number node, value=1106","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=1106, right_input=1328, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1468768","layer":3},{"info":"compute binary expreesion, left_input=-8658, right_input=1468768, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*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":"(⨞⊢(∃⊬437↪⪝))≹⇙⪍(≉(↣≠⋷∃⊬13D1))⨰(⪝⪂⫅((∃⊬947⩷∴∃⊬1A20)⨓(∃⊬452*∃⊬530)))=NaN","reverse_text":"NaN=(⨞⊢(∃⊬437↪⪝))≹⇙⪍(≉(↣≠⋷∃⊬13D1))⨰(⪝⪂⫅((∃⊬947⩷∴∃⊬1A20)⨓(∃⊬452*∃⊬530)))","cot":[{"info":"∃⊬437↪⪝=∃⊬3EF5092","layer":3},{"info":"⨞⊢∃⊬3EF5092=∃⊬-3EF5140","layer":2},{"info":"↣≠⋷∃⊬13D1=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"∃⊬-3EF5140≹⇙⪍NaN=NaN","layer":1},{"info":"∃⊬947⩷∴∃⊬1A20=∃⊬-21D2","layer":3},{"info":"∃⊬452*∃⊬530=∃⊬166960","layer":3},{"info":"∃⊬-21D2⨓∃⊬166960=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":538,"expression_no_base_symbol":"(↥($2750$⪠⩆⊳))∼($6451$⨐⩸⫘$7247$⨳⩥⨓(⨞⊢$2772$))+(⫓⪴($6426$⨸⪁$5774$%$4109$↬$1689$))","expression":"(↥(∃⊬ABE⪠⩆⊳))∼(∃⊬1933⨐⩸⫘∃⊬1C4F⨳⩥⨓(⨞⊢∃⊬AD4))+(⫓⪴(∃⊬191A⨸⪁∃⊬168E%∃⊬100D↬∃⊬699))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23,"operation_count":11,"complexity_ratio":2.090909090909091,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2750,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6451,"base":16},"right_expr":{"type":"numeric_atoms","value":7247,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2772,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6426,"base":16},"right_expr":{"type":"numeric_atoms","value":5774,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4109,"base":16},"right_expr":{"type":"numeric_atoms","value":1689,"base":16}}}}},"used_operators":["W4YGzv6Whe","DyGG3AbaNP","A8NUZmVepG","JLbD19bQDL","nCS4ZIUYfx","fu6greOZ01","xUOZtlo3hN","eLxqMNBOBk","k8jYdgA6NY","g55IO6H4Gj","B5M0gjZbta"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2750","layer":4},{"info":"compute unary expreesion, input=2750, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=6451","layer":4},{"info":"number node, value=7247","layer":4},{"info":"compute binary expreesion, left_input=6451, right_input=7247, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2772","layer":4},{"info":"compute unary expreesion, input=2772, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2946","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2946, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"number node, value=6426","layer":4},{"info":"number node, value=5774","layer":4},{"info":"compute binary expreesion, left_input=6426, right_input=5774, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24400","layer":3},{"info":"number node, value=4109","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=4109, right_input=1689, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=24400, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥(∃⊬ABE⪠⩆⊳))∼(∃⊬1933⨐⩸⫘∃⊬1C4F⨳⩥⨓(⨞⊢∃⊬AD4))+(⫓⪴(∃⊬191A⨸⪁∃⊬168E%∃⊬100D↬∃⊬699))=NaN","reverse_text":"NaN=(↥(∃⊬ABE⪠⩆⊳))∼(∃⊬1933⨐⩸⫘∃⊬1C4F⨳⩥⨓(⨞⊢∃⊬AD4))+(⫓⪴(∃⊬191A⨸⪁∃⊬168E%∃⊬100D↬∃⊬699))","cot":[{"info":"∃⊬ABE⪠⩆⊳=∃⊬0","layer":3},{"info":"↥∃⊬0=∃⊬0","layer":2},{"info":"∃⊬1933⨐⩸⫘∃⊬1C4F=NaN","layer":3},{"info":"⨞⊢∃⊬AD4=∃⊬-B82","layer":3},{"info":"NaN⨳⩥⨓∃⊬-B82=NaN","layer":2},{"info":"∃⊬0∼NaN=NaN","layer":1},{"info":"∃⊬191A⨸⪁∃⊬168E=∃⊬5F50","layer":3},{"info":"∃⊬100D↬∃⊬699=NaN","layer":3},{"info":"∃⊬5F50%NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":539,"expression_no_base_symbol":"(($1012$⫡⨏$2586$)⨽$2484$⨎$2432$⪒(↣≠⋷$2762$)≎⊠⪸($3538$⨳⩥⨓$1294$))⋥≓≎(⇁⨣⪵($1893$⪢$2688$)⨟⋌⩍($2611$∼$2680$))","expression":"((∃⊬3F4⫡⨏∃⊬A1A)⨽∃⊬9B4⨎∃⊬980⪒(↣≠⋷∃⊬ACA)≎⊠⪸(∃⊬DD2⨳⩥⨓∃⊬50E))⋥≓≎(⇁⨣⪵(∃⊬765⪢∃⊬A80)⨟⋌⩍(∃⊬A33∼∃⊬A78))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":13799,"operation_count":12,"complexity_ratio":1149.9166666666667,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1012,"base":16},"right_expr":{"type":"numeric_atoms","value":2586,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2484,"base":16},"right_expr":{"type":"numeric_atoms","value":2432,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2762,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3538,"base":16},"right_expr":{"type":"numeric_atoms","value":1294,"base":16}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1893,"base":16},"right_expr":{"type":"numeric_atoms","value":2688,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2611,"base":16},"right_expr":{"type":"numeric_atoms","value":2680,"base":16}}}}},"used_operators":["Qy55tPpLXF","f6k1SAg4EE","8HhzD0ZcuI","QMFrweE19q","rJVOvQCfKK","bJkvcejdHO","Asc51vEJeQ","nCS4ZIUYfx","inkyxCbjAn","rGHVDoGpnC","dWAJyo7jo9","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","Tcnh7f0tEr","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1012","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=1012, right_input=2586, 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=11015","layer":3},{"info":"number node, value=2484","layer":4},{"info":"number node, value=2432","layer":4},{"info":"compute binary expreesion, left_input=2484, right_input=2432, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2432","layer":3},{"info":"compute binary expreesion, left_input=11015, right_input=2432, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-363996657","layer":2},{"info":"number node, value=2762","layer":4},{"info":"compute unary expreesion, input=2762, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3538","layer":4},{"info":"number node, value=1294","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=1294, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2244","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2244, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-363996657, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=363996590","layer":1},{"info":"number node, value=1893","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=2688, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2611","layer":4},{"info":"number node, value=2680","layer":4},{"info":"compute binary expreesion, left_input=2611, right_input=2680, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=363996590, 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":"((∃⊬3F4⫡⨏∃⊬A1A)⨽∃⊬9B4⨎∃⊬980⪒(↣≠⋷∃⊬ACA)≎⊠⪸(∃⊬DD2⨳⩥⨓∃⊬50E))⋥≓≎(⇁⨣⪵(∃⊬765⪢∃⊬A80)⨟⋌⩍(∃⊬A33∼∃⊬A78))=NaN","reverse_text":"NaN=((∃⊬3F4⫡⨏∃⊬A1A)⨽∃⊬9B4⨎∃⊬980⪒(↣≠⋷∃⊬ACA)≎⊠⪸(∃⊬DD2⨳⩥⨓∃⊬50E))⋥≓≎(⇁⨣⪵(∃⊬765⪢∃⊬A80)⨟⋌⩍(∃⊬A33∼∃⊬A78))","cot":[{"info":"∃⊬3F4⫡⨏∃⊬A1A=∃⊬2B07","layer":3},{"info":"∃⊬9B4⨎∃⊬980=∃⊬980","layer":3},{"info":"∃⊬2B07⨽∃⊬980=∃⊬-15B225F1","layer":2},{"info":"↣≠⋷∃⊬ACA=NaN","layer":3},{"info":"∃⊬DD2⨳⩥⨓∃⊬50E=∃⊬-8C4","layer":3},{"info":"NaN≎⊠⪸∃⊬-8C4=∃⊬43","layer":2},{"info":"∃⊬-15B225F1⪒∃⊬43=∃⊬15B225AE","layer":1},{"info":"∃⊬765⪢∃⊬A80=NaN","layer":3},{"info":"∃⊬A33∼∃⊬A78=NaN","layer":3},{"info":"NaN⨟⋌⩍NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"∃⊬15B225AE⋥≓≎NaN=NaN","layer":0}]}
{"id":540,"expression_no_base_symbol":"↣≠⋷((⊙↵-($4774$∼$3385$))⫩⊇)","expression":"↣≠⋷((⊙↵-(∃⊬12A6∼∃⊬D39))⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":127,"operation_count":4,"complexity_ratio":31.75,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4774,"base":16},"right_expr":{"type":"numeric_atoms","value":3385,"base":16}}}}},"used_operators":["Asc51vEJeQ","BjRHVeLaeN","oWn0xqSxBt","DyGG3AbaNP"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","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=4774","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=4774, right_input=3385, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute 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":"↣≠⋷((⊙↵-(∃⊬12A6∼∃⊬D39))⫩⊇)=NaN","reverse_text":"NaN=↣≠⋷((⊙↵-(∃⊬12A6∼∃⊬D39))⫩⊇)","cot":[{"info":"∃⊬12A6∼∃⊬D39=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":541,"expression_no_base_symbol":"((⨰⫟⨤($1503$⪒$2054$))⩤)≫≃","expression":"((⨰⫟⨤(∃⊬5DF⪒∃⊬806))⩤)≫≃","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":15131,"operation_count":4,"complexity_ratio":3782.75,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1503,"base":16},"right_expr":{"type":"numeric_atoms","value":2054,"base":16}}}}},"used_operators":["X99M06cbEe","Z2TMIBDE3Q","Tw270M8GLb","f6k1SAg4EE"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1503","layer":4},{"info":"number node, value=2054","layer":4},{"info":"compute binary expreesion, left_input=1503, right_input=2054, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3557","layer":3},{"info":"compute unary expreesion, input=-3557, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-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":"((⨰⫟⨤(∃⊬5DF⪒∃⊬806))⩤)≫≃=NaN","reverse_text":"NaN=((⨰⫟⨤(∃⊬5DF⪒∃⊬806))⩤)≫≃","cot":[{"info":"∃⊬5DF⪒∃⊬806=∃⊬-DE5","layer":3},{"info":"⨰⫟⨤∃⊬-DE5=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":542,"expression_no_base_symbol":"≉(($1277$⊴$3301$⫸⊐$1476$⪮%⊝$1246$)⊠≄⫣)","expression":"≉((∃⊬4FD⊴∃⊬CE5⫸⊐∃⊬5C4⪮%⊝∃⊬4DE)⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3324,"operation_count":5,"complexity_ratio":664.8,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1277,"base":16},"right_expr":{"type":"numeric_atoms","value":3301,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1476,"base":16},"right_expr":{"type":"numeric_atoms","value":1246,"base":16}}}}},"used_operators":["e1ybzncUwg","DIvbN7qnHd","mqXw5SEYmG","Nsiff2A1zJ","IWmyXbctLI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1277","layer":4},{"info":"number node, value=3301","layer":4},{"info":"compute binary expreesion, left_input=1277, right_input=3301, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1476","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=1476, right_input=1246, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3268","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3268, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉((∃⊬4FD⊴∃⊬CE5⫸⊐∃⊬5C4⪮%⊝∃⊬4DE)⊠≄⫣)=NaN","reverse_text":"NaN=≉((∃⊬4FD⊴∃⊬CE5⫸⊐∃⊬5C4⪮%⊝∃⊬4DE)⊠≄⫣)","cot":[{"info":"∃⊬4FD⊴∃⊬CE5=NaN","layer":3},{"info":"∃⊬5C4⪮%⊝∃⊬4DE=∃⊬CC4","layer":3},{"info":"NaN⫸⊐∃⊬CC4=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":543,"expression_no_base_symbol":"∥⊫($6571$*$5864$-(⋗⩬⋾$2291$))⨎(($5365$↺$3364$)⋥≓≎(≉$6182$))","expression":"∥⊫(∃⊬19AB*∃⊬16E8-(⋗⩬⋾∃⊬8F3))⨎((∃⊬14F5↺∃⊬D24)⋥≓≎(≉∃⊬1826))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5881,"operation_count":8,"complexity_ratio":735.125,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6571,"base":16},"right_expr":{"type":"numeric_atoms","value":5864,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2291,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5365,"base":16},"right_expr":{"type":"numeric_atoms","value":3364,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":6182,"base":16}}}}},"used_operators":["P8v4zCKN1o","rJVOvQCfKK","rysDP5nf3Z","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","7j4O788W3g","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬2AD3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6571","layer":4},{"info":"number node, value=5864","layer":4},{"info":"compute binary expreesion, left_input=6571, right_input=5864, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=38532344","layer":3},{"info":"number node, value=2291","layer":4},{"info":"compute unary expreesion, input=2291, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6873","layer":3},{"info":"compute binary expreesion, left_input=38532344, right_input=-6873, op_id = rysDP5nf3Z binary_op_definition= 'None', output=38539217","layer":2},{"info":"number node, value=5365","layer":4},{"info":"number node, value=3364","layer":4},{"info":"compute binary expreesion, left_input=5365, right_input=3364, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3364","layer":3},{"info":"number node, value=6182","layer":4},{"info":"compute unary expreesion, input=6182, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6713","layer":3},{"info":"compute binary expreesion, left_input=3364, right_input=6713, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=10095","layer":2},{"info":"compute binary expreesion, left_input=38539217, right_input=10095, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=10095","layer":1},{"info":"compute unary expreesion, input=10095, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=10963","layer":0}],"base":16,"result_base":16,"text":"∥⊫(∃⊬19AB*∃⊬16E8-(⋗⩬⋾∃⊬8F3))⨎((∃⊬14F5↺∃⊬D24)⋥≓≎(≉∃⊬1826))=∃⊬2AD3","reverse_text":"∃⊬2AD3=∥⊫(∃⊬19AB*∃⊬16E8-(⋗⩬⋾∃⊬8F3))⨎((∃⊬14F5↺∃⊬D24)⋥≓≎(≉∃⊬1826))","cot":[{"info":"∃⊬19AB*∃⊬16E8=∃⊬24BF4F8","layer":3},{"info":"⋗⩬⋾∃⊬8F3=∃⊬-1AD9","layer":3},{"info":"∃⊬24BF4F8-∃⊬-1AD9=∃⊬24C0FD1","layer":2},{"info":"∃⊬14F5↺∃⊬D24=∃⊬D24","layer":3},{"info":"≉∃⊬1826=∃⊬1A39","layer":3},{"info":"∃⊬D24⋥≓≎∃⊬1A39=∃⊬276F","layer":2},{"info":"∃⊬24C0FD1⨎∃⊬276F=∃⊬276F","layer":1},{"info":"∥⊫∃⊬276F=∃⊬2AD3","layer":0}]}
{"id":544,"expression_no_base_symbol":"(⊥(⪝⪂⫅$1016$⨪↰⇹$1512$))⪢((⪝⪂⫅($4955$⫡⨏$1182$))-(↥$2756$)⇷(⨑⩽⪐$5922$))","expression":"(⊥(⪝⪂⫅∃⊬3F8⨪↰⇹∃⊬5E8))⪢((⪝⪂⫅(∃⊬135B⫡⨏∃⊬49E))-(↥∃⊬AC4)⇷(⨑⩽⪐∃⊬1722))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1420,"operation_count":10,"complexity_ratio":142.0,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1016,"base":16},"right_expr":{"type":"numeric_atoms","value":1512,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4955,"base":16},"right_expr":{"type":"numeric_atoms","value":1182,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2756,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5922,"base":16}}}}},"used_operators":["dWAJyo7jo9","Q3PJZHRvZv","XTarYq4gQB","tmPS8pqC7x","rysDP5nf3Z","QMFrweE19q","mp7IySMOzn","A8NUZmVepG","AF7qkfDlqP"],"dependent_operators":["k8jYdgA6NY","fu6greOZ01","9HNa5Wba9A","8w2t5hMYqp","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1016","layer":4},{"info":"number node, value=1512","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=1512, 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=1016","layer":3},{"info":"compute unary expreesion, input=1016, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-149352","layer":2},{"info":"compute unary expreesion, input=-149352, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":1},{"info":"number node, value=4955","layer":4},{"info":"number node, value=1182","layer":4},{"info":"compute binary expreesion, left_input=4955, right_input=1182, 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=27922","layer":3},{"info":"compute unary expreesion, input=27922, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-4104534","layer":2},{"info":"number node, value=2756","layer":4},{"info":"compute unary expreesion, input=2756, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=2","layer":3},{"info":"number node, value=5922","layer":4},{"info":"compute unary expreesion, input=5922, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5649","layer":3},{"info":"compute binary expreesion, left_input=2, right_input=-5649, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-20919","layer":2},{"info":"compute binary expreesion, left_input=-4104534, right_input=-20919, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-4083615","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4083615, 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":"(⊥(⪝⪂⫅∃⊬3F8⨪↰⇹∃⊬5E8))⪢((⪝⪂⫅(∃⊬135B⫡⨏∃⊬49E))-(↥∃⊬AC4)⇷(⨑⩽⪐∃⊬1722))=NaN","reverse_text":"NaN=(⊥(⪝⪂⫅∃⊬3F8⨪↰⇹∃⊬5E8))⪢((⪝⪂⫅(∃⊬135B⫡⨏∃⊬49E))-(↥∃⊬AC4)⇷(⨑⩽⪐∃⊬1722))","cot":[{"info":"∃⊬3F8⨪↰⇹∃⊬5E8=∃⊬3F8","layer":3},{"info":"⪝⪂⫅∃⊬3F8=∃⊬-24768","layer":2},{"info":"⊥∃⊬-24768=NaN","layer":1},{"info":"∃⊬135B⫡⨏∃⊬49E=∃⊬6D12","layer":3},{"info":"⪝⪂⫅∃⊬6D12=∃⊬-3EA156","layer":2},{"info":"↥∃⊬AC4=∃⊬2","layer":3},{"info":"⨑⩽⪐∃⊬1722=∃⊬-1611","layer":3},{"info":"∃⊬2⇷∃⊬-1611=∃⊬-51B7","layer":2},{"info":"∃⊬-3EA156-∃⊬-51B7=∃⊬-3E4F9F","layer":1},{"info":"NaN⪢∃⊬-3E4F9F=NaN","layer":0}]}
{"id":545,"expression_no_base_symbol":"(($2287$⨵⪆$1983$)⨽($1003$%$1782$)+(⇁⨣⪵($3195$-$3425$)))↬(($1326$∑⇟⊟$3589$≣⋋)⊉≛↸($1180$+$2762$)⩚⊴⇥$4154$⨰$1450$)","expression":"((∃⊬8EF⨵⪆∃⊬7BF)⨽(∃⊬3EB%∃⊬6F6)+(⇁⨣⪵(∃⊬C7B-∃⊬D61)))↬((∃⊬52E∑⇟⊟∃⊬E05≣⋋)⊉≛↸(∃⊬49C+∃⊬ACA)⩚⊴⇥∃⊬103A⨰∃⊬5AA)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":192,"operation_count":13,"complexity_ratio":14.76923076923077,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2287,"base":16},"right_expr":{"type":"numeric_atoms","value":1983,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":1782,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3195,"base":16},"right_expr":{"type":"numeric_atoms","value":3425,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1326,"base":16},"right_expr":{"type":"numeric_atoms","value":3589,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1180,"base":16},"right_expr":{"type":"numeric_atoms","value":2762,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4154,"base":16},"right_expr":{"type":"numeric_atoms","value":1450,"base":16}}}}},"used_operators":["B5M0gjZbta","W4YGzv6Whe","8HhzD0ZcuI","2DQ55sFlQl","k8jYdgA6NY","inkyxCbjAn","rysDP5nf3Z","DZ8iAZOCBD","Tcnh7f0tEr","U7g4x0WXJJ","NTOWxs364D","eewbuw0ToL"],"dependent_operators":["rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2287","layer":4},{"info":"number node, value=1983","layer":4},{"info":"compute binary expreesion, left_input=2287, right_input=1983, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=1782, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1003","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1003, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-78495","layer":2},{"info":"number node, value=3195","layer":4},{"info":"number node, value=3425","layer":4},{"info":"compute binary expreesion, left_input=3195, right_input=3425, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-230","layer":3},{"info":"compute unary expreesion, input=-230, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-78495, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1326","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1326, right_input=3589, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=1180","layer":4},{"info":"number node, value=2762","layer":4},{"info":"compute binary expreesion, left_input=1180, right_input=2762, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3942","layer":3},{"info":"number node, value=4154","layer":4},{"info":"number node, value=1450","layer":4},{"info":"compute binary expreesion, left_input=4154, right_input=1450, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2714","layer":3},{"info":"compute binary expreesion, left_input=3942, right_input=2714, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6777","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6777, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((∃⊬8EF⨵⪆∃⊬7BF)⨽(∃⊬3EB%∃⊬6F6)+(⇁⨣⪵(∃⊬C7B-∃⊬D61)))↬((∃⊬52E∑⇟⊟∃⊬E05≣⋋)⊉≛↸(∃⊬49C+∃⊬ACA)⩚⊴⇥∃⊬103A⨰∃⊬5AA)=NaN","reverse_text":"NaN=((∃⊬8EF⨵⪆∃⊬7BF)⨽(∃⊬3EB%∃⊬6F6)+(⇁⨣⪵(∃⊬C7B-∃⊬D61)))↬((∃⊬52E∑⇟⊟∃⊬E05≣⋋)⊉≛↸(∃⊬49C+∃⊬ACA)⩚⊴⇥∃⊬103A⨰∃⊬5AA)","cot":[{"info":"∃⊬8EF⨵⪆∃⊬7BF=∃⊬A0","layer":3},{"info":"∃⊬3EB%∃⊬6F6=∃⊬3EB","layer":3},{"info":"∃⊬A0⨽∃⊬3EB=∃⊬-1329F","layer":2},{"info":"∃⊬C7B-∃⊬D61=∃⊬-E6","layer":3},{"info":"⇁⨣⪵∃⊬-E6=NaN","layer":2},{"info":"∃⊬-1329F+NaN=NaN","layer":1},{"info":"∃⊬52E∑⇟⊟∃⊬E05=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"∃⊬49C+∃⊬ACA=∃⊬F66","layer":3},{"info":"∃⊬103A⨰∃⊬5AA=∃⊬A9A","layer":3},{"info":"∃⊬F66⩚⊴⇥∃⊬A9A=∃⊬-1A79","layer":2},{"info":"NaN⊉≛↸∃⊬-1A79=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":546,"expression_no_base_symbol":"(⨈⫕$1269$⨎$8336$)⊭↱$1445$↬$1545$⫥∨⫟(≦∁$1634$)⇼⇔∾(↔(↽≂(⊄⩳↩$6039$)))","expression":"(⨈⫕∃⊬4F5⨎∃⊬2090)⊭↱∃⊬5A5↬∃⊬609⫥∨⫟(≦∁∃⊬662)⇼⇔∾(↔(↽≂(⊄⩳↩∃⊬1797)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":564,"operation_count":10,"complexity_ratio":56.4,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1269,"base":16},"right_expr":{"type":"numeric_atoms","value":8336,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1445,"base":16},"right_expr":{"type":"numeric_atoms","value":1545,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1634,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":6039,"base":16}}}}},"used_operators":["tifHPKVTfV","COABgblf1C","megm06wKyl","rJVOvQCfKK","KYD54nUTWz","B5M0gjZbta","9ICcGScMcE","ruOEQAzv1W","u6S6b8DprG","8w2t5hMYqp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=8336","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=8336, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8336","layer":3},{"info":"compute unary expreesion, input=8336, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1445","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1445, right_input=1545, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1634","layer":4},{"info":"compute unary expreesion, input=1634, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1634","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1634, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=6039","layer":4},{"info":"compute unary expreesion, input=6039, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-18117","layer":3},{"info":"compute unary expreesion, input=-18117, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=36234","layer":2},{"info":"compute unary expreesion, input=36234, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-35961","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-35961, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨈⫕∃⊬4F5⨎∃⊬2090)⊭↱∃⊬5A5↬∃⊬609⫥∨⫟(≦∁∃⊬662)⇼⇔∾(↔(↽≂(⊄⩳↩∃⊬1797)))=NaN","reverse_text":"NaN=(⨈⫕∃⊬4F5⨎∃⊬2090)⊭↱∃⊬5A5↬∃⊬609⫥∨⫟(≦∁∃⊬662)⇼⇔∾(↔(↽≂(⊄⩳↩∃⊬1797)))","cot":[{"info":"∃⊬4F5⨎∃⊬2090=∃⊬2090","layer":3},{"info":"⨈⫕∃⊬2090=∃⊬-15","layer":2},{"info":"∃⊬5A5↬∃⊬609=NaN","layer":3},{"info":"≦∁∃⊬662=∃⊬662","layer":3},{"info":"NaN⫥∨⫟∃⊬662=NaN","layer":2},{"info":"∃⊬-15⊭↱NaN=NaN","layer":1},{"info":"⊄⩳↩∃⊬1797=∃⊬-46C5","layer":3},{"info":"↽≂∃⊬-46C5=∃⊬8D8A","layer":2},{"info":"↔∃⊬8D8A=∃⊬-8C79","layer":1},{"info":"NaN⇼⇔∾∃⊬-8C79=NaN","layer":0}]}
{"id":547,"expression_no_base_symbol":"($4976$⨟⋌⩍$1060$⨐⩸⫘$1407$↬$1090$⋷(⨑⩽⪐$5341$)∲⫓(≉$1807$))⨪↰⇹((⊥($1833$≎⊠⪸$2564$))≭($1430$⇷$7103$)⨟⋌⩍($8292$⫥∨⫟$1879$))","expression":"(∃⊬1370⨟⋌⩍∃⊬424⨐⩸⫘∃⊬57F↬∃⊬442⋷(⨑⩽⪐∃⊬14DD)∲⫓(≉∃⊬70F))⨪↰⇹((⊥(∃⊬729≎⊠⪸∃⊬A04))≭(∃⊬596⇷∃⊬1BBF)⨟⋌⩍(∃⊬2064⫥∨⫟∃⊬757))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":20467,"operation_count":14,"complexity_ratio":1461.9285714285713,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4976,"base":16},"right_expr":{"type":"numeric_atoms","value":1060,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1407,"base":16},"right_expr":{"type":"numeric_atoms","value":1090,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":5341,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1807,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1833,"base":16},"right_expr":{"type":"numeric_atoms","value":2564,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1430,"base":16},"right_expr":{"type":"numeric_atoms","value":7103,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8292,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}}}}},"used_operators":["tmPS8pqC7x","23Mk6UjR3U","fu6greOZ01","rGHVDoGpnC","B5M0gjZbta","i8ToyICDmI","AF7qkfDlqP","e1ybzncUwg","rxpJgHHUmx","Q3PJZHRvZv","bJkvcejdHO","mp7IySMOzn","KYD54nUTWz"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Tcnh7f0tEr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","fu6greOZ01","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4976","layer":4},{"info":"number node, value=1060","layer":4},{"info":"compute binary expreesion, left_input=4976, right_input=1060, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1407","layer":4},{"info":"number node, value=1090","layer":4},{"info":"compute binary expreesion, left_input=1407, right_input=1090, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5341","layer":4},{"info":"compute unary expreesion, input=5341, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-5068","layer":3},{"info":"number node, value=1807","layer":4},{"info":"compute unary expreesion, input=1807, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2338","layer":3},{"info":"compute binary expreesion, left_input=-5068, right_input=2338, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=1833","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=1833, right_input=2564, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=474274","layer":3},{"info":"compute unary expreesion, input=474274, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1430","layer":4},{"info":"number node, value=7103","layer":4},{"info":"compute binary expreesion, left_input=1430, right_input=7103, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=14206","layer":3},{"info":"number node, value=8292","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=8292, right_input=1879, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14206, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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":"(∃⊬1370⨟⋌⩍∃⊬424⨐⩸⫘∃⊬57F↬∃⊬442⋷(⨑⩽⪐∃⊬14DD)∲⫓(≉∃⊬70F))⨪↰⇹((⊥(∃⊬729≎⊠⪸∃⊬A04))≭(∃⊬596⇷∃⊬1BBF)⨟⋌⩍(∃⊬2064⫥∨⫟∃⊬757))=NaN","reverse_text":"NaN=(∃⊬1370⨟⋌⩍∃⊬424⨐⩸⫘∃⊬57F↬∃⊬442⋷(⨑⩽⪐∃⊬14DD)∲⫓(≉∃⊬70F))⨪↰⇹((⊥(∃⊬729≎⊠⪸∃⊬A04))≭(∃⊬596⇷∃⊬1BBF)⨟⋌⩍(∃⊬2064⫥∨⫟∃⊬757))","cot":[{"info":"∃⊬1370⨟⋌⩍∃⊬424=NaN","layer":3},{"info":"∃⊬57F↬∃⊬442=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"⨑⩽⪐∃⊬14DD=∃⊬-13CC","layer":3},{"info":"≉∃⊬70F=∃⊬922","layer":3},{"info":"∃⊬-13CC∲⫓∃⊬922=∃⊬0","layer":2},{"info":"NaN⋷∃⊬0=NaN","layer":1},{"info":"∃⊬729≎⊠⪸∃⊬A04=∃⊬73CA2","layer":3},{"info":"⊥∃⊬73CA2=NaN","layer":2},{"info":"∃⊬596⇷∃⊬1BBF=∃⊬377E","layer":3},{"info":"∃⊬2064⫥∨⫟∃⊬757=NaN","layer":3},{"info":"∃⊬377E⨟⋌⩍NaN=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":548,"expression_no_base_symbol":"(↥(⊥($2372$⋷$5322$)))⫌⩹⨱","expression":"(↥(⊥(∃⊬944⋷∃⊬14CA)))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12,"operation_count":4,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2372,"base":16},"right_expr":{"type":"numeric_atoms","value":5322,"base":16}}}}},"used_operators":["EBcxylXtPf","A8NUZmVepG","Q3PJZHRvZv","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2372","layer":4},{"info":"number node, value=5322","layer":4},{"info":"compute binary expreesion, left_input=2372, right_input=5322, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8272","layer":3},{"info":"compute unary expreesion, input=8272, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥(⊥(∃⊬944⋷∃⊬14CA)))⫌⩹⨱=NaN","reverse_text":"NaN=(↥(⊥(∃⊬944⋷∃⊬14CA)))⫌⩹⨱","cot":[{"info":"∃⊬944⋷∃⊬14CA=∃⊬2050","layer":3},{"info":"⊥∃⊬2050=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":549,"expression_no_base_symbol":"(-$1228$⪄$1967$)⪮%⊝(⪲⇎$4969$∼$4479$)⫡⨏(($1806$⨽$2956$)⪘⫢(⪲⇎$3076$))∀⇚≩($7472$∑⇟⊟$1609$↺(⨵≀≌$9039$))","expression":"(-∃⊬4CC⪄∃⊬7AF)⪮%⊝(⪲⇎∃⊬1369∼∃⊬117F)⫡⨏((∃⊬70E⨽∃⊬B8C)⪘⫢(⪲⇎∃⊬C04))∀⇚≩(∃⊬1D30∑⇟⊟∃⊬649↺(⨵≀≌∃⊬234F))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2052,"operation_count":13,"complexity_ratio":157.84615384615384,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1228,"base":16},"right_expr":{"type":"numeric_atoms","value":1967,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4969,"base":16},"right_expr":{"type":"numeric_atoms","value":4479,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1806,"base":16},"right_expr":{"type":"numeric_atoms","value":2956,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3076,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7472,"base":16},"right_expr":{"type":"numeric_atoms","value":1609,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":9039,"base":16}}}}},"used_operators":["QMFrweE19q","IWmyXbctLI","t8gj7n24qd","SUmda5xLS4","XPYlsWDdGa","DyGG3AbaNP","LRNGc0VcxI","oacrs7FA3X","8HhzD0ZcuI","7j4O788W3g","U7g4x0WXJJ","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=1967","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=1967, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-185701","layer":3},{"info":"compute unary expreesion, input=-185701, op_id = t8gj7n24qd, unary_op_definition = 'None', output=185701","layer":2},{"info":"number node, value=4969","layer":4},{"info":"number node, value=4479","layer":4},{"info":"compute binary expreesion, left_input=4969, right_input=4479, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=185701, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2956","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2956, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9792462","layer":3},{"info":"number node, value=3076","layer":4},{"info":"compute unary expreesion, input=3076, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6152","layer":3},{"info":"compute binary expreesion, left_input=-9792462, right_input=6152, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=7472","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=7472, right_input=1609, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=9039","layer":4},{"info":"compute unary expreesion, input=9039, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-27117","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-27117, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-27117","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-27117, 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=52833","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=52833, 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":"(-∃⊬4CC⪄∃⊬7AF)⪮%⊝(⪲⇎∃⊬1369∼∃⊬117F)⫡⨏((∃⊬70E⨽∃⊬B8C)⪘⫢(⪲⇎∃⊬C04))∀⇚≩(∃⊬1D30∑⇟⊟∃⊬649↺(⨵≀≌∃⊬234F))=NaN","reverse_text":"NaN=(-∃⊬4CC⪄∃⊬7AF)⪮%⊝(⪲⇎∃⊬1369∼∃⊬117F)⫡⨏((∃⊬70E⨽∃⊬B8C)⪘⫢(⪲⇎∃⊬C04))∀⇚≩(∃⊬1D30∑⇟⊟∃⊬649↺(⨵≀≌∃⊬234F))","cot":[{"info":"∃⊬4CC⪄∃⊬7AF=∃⊬-2D565","layer":3},{"info":"-∃⊬-2D565=∃⊬2D565","layer":2},{"info":"∃⊬1369∼∃⊬117F=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"∃⊬2D565⪮%⊝NaN=NaN","layer":1},{"info":"∃⊬70E⨽∃⊬B8C=∃⊬-956BCE","layer":3},{"info":"⪲⇎∃⊬C04=∃⊬1808","layer":3},{"info":"∃⊬-956BCE⪘⫢∃⊬1808=∃⊬-1","layer":2},{"info":"∃⊬1D30∑⇟⊟∃⊬649=NaN","layer":3},{"info":"⨵≀≌∃⊬234F=∃⊬-69ED","layer":3},{"info":"NaN↺∃⊬-69ED=∃⊬-69ED","layer":2},{"info":"∃⊬-1∀⇚≩∃⊬-69ED=∃⊬CE61","layer":1},{"info":"NaN⫡⨏∃⊬CE61=NaN","layer":0}]}
{"id":550,"expression_no_base_symbol":"↩(($5577$⊦⊿)⊭∹↮)≎⊠⪸(($2757$⫌⩹⨱)⊦⊿)","expression":"↩((∃⊬15C9⊦⊿)⊭∹↮)≎⊠⪸((∃⊬AC5⫌⩹⨱)⊦⊿)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":47,"operation_count":6,"complexity_ratio":7.833333333333333,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":5577,"base":16}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2757,"base":16}}}}},"used_operators":["jLgFTUHLKL","bJkvcejdHO","xNBdhnnwKq","14qkJME0vr","EBcxylXtPf"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬8C4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5577","layer":4},{"info":"compute unary expreesion, input=5577, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16810","layer":3},{"info":"compute unary expreesion, input=-16810, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-16810","layer":2},{"info":"number node, value=2757","layer":4},{"info":"compute unary expreesion, input=2757, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6915","layer":3},{"info":"compute unary expreesion, input=6915, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-20824","layer":2},{"info":"compute binary expreesion, left_input=-16810, right_input=-20824, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2244","layer":0}],"base":16,"result_base":16,"text":"↩((∃⊬15C9⊦⊿)⊭∹↮)≎⊠⪸((∃⊬AC5⫌⩹⨱)⊦⊿)=∃⊬8C4","reverse_text":"∃⊬8C4=↩((∃⊬15C9⊦⊿)⊭∹↮)≎⊠⪸((∃⊬AC5⫌⩹⨱)⊦⊿)","cot":[{"info":"∃⊬15C9⊦⊿=∃⊬-41AA","layer":3},{"info":"∃⊬-41AA⊭∹↮=∃⊬-41AA","layer":2},{"info":"∃⊬AC5⫌⩹⨱=∃⊬1B03","layer":3},{"info":"∃⊬1B03⊦⊿=∃⊬-5158","layer":2},{"info":"∃⊬-41AA≎⊠⪸∃⊬-5158=∃⊬43","layer":1},{"info":"↩∃⊬43=∃⊬8C4","layer":0}]}
{"id":551,"expression_no_base_symbol":"((($1153$-$1353$)⪒$4444$⪛$2030$)⋳⪒(($1031$⪒$3001$)*$6246$⪮%⊝$2231$))⨓(⪲⇎((⨈⫕$1567$)⋷$4691$⫥∨⫟$5341$))","expression":"(((∃⊬481-∃⊬549)⪒∃⊬115C⪛∃⊬7EE)⋳⪒((∃⊬407⪒∃⊬BB9)*∃⊬1866⪮%⊝∃⊬8B7))⨓(⪲⇎((⨈⫕∃⊬61F)⋷∃⊬1253⫥∨⫟∃⊬14DD))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4694,"operation_count":12,"complexity_ratio":391.1666666666667,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1153,"base":16},"right_expr":{"type":"numeric_atoms","value":1353,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4444,"base":16},"right_expr":{"type":"numeric_atoms","value":2030,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1031,"base":16},"right_expr":{"type":"numeric_atoms","value":3001,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6246,"base":16},"right_expr":{"type":"numeric_atoms","value":2231,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1567,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4691,"base":16},"right_expr":{"type":"numeric_atoms","value":5341,"base":16}}}}},"used_operators":["3ViojmjbAp","12rbrZMWeM","f6k1SAg4EE","rysDP5nf3Z","uFcxV4UQCh","9HNa5Wba9A","IWmyXbctLI","XPYlsWDdGa","23Mk6UjR3U","megm06wKyl","KYD54nUTWz"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8HhzD0ZcuI","rGHVDoGpnC"],"result":"∃⊬-57","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1153","layer":4},{"info":"number node, value=1353","layer":4},{"info":"compute binary expreesion, left_input=1153, right_input=1353, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-200","layer":3},{"info":"number node, value=4444","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=4444, right_input=2030, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=384","layer":3},{"info":"compute binary expreesion, left_input=-200, right_input=384, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-184","layer":2},{"info":"number node, value=1031","layer":4},{"info":"number node, value=3001","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=3001, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4032","layer":3},{"info":"number node, value=6246","layer":4},{"info":"number node, value=2231","layer":4},{"info":"compute binary expreesion, left_input=6246, right_input=2231, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=12808","layer":3},{"info":"compute binary expreesion, left_input=-4032, right_input=12808, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-51641856","layer":2},{"info":"compute binary expreesion, left_input=-184, right_input=-51641856, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=51641201","layer":1},{"info":"number node, value=1567","layer":4},{"info":"compute unary expreesion, input=1567, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=4691","layer":4},{"info":"number node, value=5341","layer":4},{"info":"compute binary expreesion, left_input=4691, right_input=5341, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":2},{"info":"compute unary expreesion, input=42, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=84","layer":1},{"info":"compute binary expreesion, left_input=51641201, right_input=84, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-87","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬481-∃⊬549)⪒∃⊬115C⪛∃⊬7EE)⋳⪒((∃⊬407⪒∃⊬BB9)*∃⊬1866⪮%⊝∃⊬8B7))⨓(⪲⇎((⨈⫕∃⊬61F)⋷∃⊬1253⫥∨⫟∃⊬14DD))=∃⊬-57","reverse_text":"∃⊬-57=(((∃⊬481-∃⊬549)⪒∃⊬115C⪛∃⊬7EE)⋳⪒((∃⊬407⪒∃⊬BB9)*∃⊬1866⪮%⊝∃⊬8B7))⨓(⪲⇎((⨈⫕∃⊬61F)⋷∃⊬1253⫥∨⫟∃⊬14DD))","cot":[{"info":"∃⊬481-∃⊬549=∃⊬-C8","layer":3},{"info":"∃⊬115C⪛∃⊬7EE=∃⊬180","layer":3},{"info":"∃⊬-C8⪒∃⊬180=∃⊬-B8","layer":2},{"info":"∃⊬407⪒∃⊬BB9=∃⊬-FC0","layer":3},{"info":"∃⊬1866⪮%⊝∃⊬8B7=∃⊬3208","layer":3},{"info":"∃⊬-FC0*∃⊬3208=∃⊬-313FE00","layer":2},{"info":"∃⊬-B8⋳⪒∃⊬-313FE00=∃⊬313FB71","layer":1},{"info":"⨈⫕∃⊬61F=∃⊬-15","layer":3},{"info":"∃⊬1253⫥∨⫟∃⊬14DD=NaN","layer":3},{"info":"∃⊬-15⋷NaN=∃⊬2A","layer":2},{"info":"⪲⇎∃⊬2A=∃⊬54","layer":1},{"info":"∃⊬313FB71⨓∃⊬54=∃⊬-57","layer":0}]}
{"id":552,"expression_no_base_symbol":"⊙↵-((⨰⫟⨤($2585$∲⫓$3532$))⨎($1097$⨰$1874$⊘))","expression":"⊙↵-((⨰⫟⨤(∃⊬A19∲⫓∃⊬DCC))⨎(∃⊬449⨰∃⊬752⊘))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":951,"operation_count":6,"complexity_ratio":158.5,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2585,"base":16},"right_expr":{"type":"numeric_atoms","value":3532,"base":16}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1097,"base":16},"right_expr":{"type":"numeric_atoms","value":1874,"base":16}}}}},"used_operators":["oWn0xqSxBt","rJVOvQCfKK","Tw270M8GLb","i8ToyICDmI","gu96TGCTMs","eewbuw0ToL"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2585","layer":4},{"info":"number node, value=3532","layer":4},{"info":"compute binary expreesion, left_input=2585, right_input=3532, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=1874","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=1874, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-767","layer":3},{"info":"compute unary expreesion, input=-767, 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":2},{"info":"compute binary expreesion, left_input=4492662, right_input=-1, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((⨰⫟⨤(∃⊬A19∲⫓∃⊬DCC))⨎(∃⊬449⨰∃⊬752⊘))=∃⊬0","reverse_text":"∃⊬0=⊙↵-((⨰⫟⨤(∃⊬A19∲⫓∃⊬DCC))⨎(∃⊬449⨰∃⊬752⊘))","cot":[{"info":"∃⊬A19∲⫓∃⊬DCC=∃⊬0","layer":3},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":2},{"info":"∃⊬449⨰∃⊬752=∃⊬-2FF","layer":3},{"info":"∃⊬-2FF⊘=∃⊬-1","layer":2},{"info":"∃⊬448D76⨎∃⊬-1=∃⊬-1","layer":1},{"info":"⊙↵-∃⊬-1=∃⊬0","layer":0}]}
{"id":553,"expression_no_base_symbol":"((⨵≀≌($3354$⪨≂$1755$))⪠⩆⊳)⋳⪒(⊙↵-(($2308$⪒$4869$)⨸⪁($3221$∲⫓$3395$)))","expression":"((⨵≀≌(∃⊬D1A⪨≂∃⊬6DB))⪠⩆⊳)⋳⪒(⊙↵-((∃⊬904⪒∃⊬1305)⨸⪁(∃⊬C95∲⫓∃⊬D43)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":14415,"operation_count":8,"complexity_ratio":1801.875,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3354,"base":16},"right_expr":{"type":"numeric_atoms","value":1755,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2308,"base":16},"right_expr":{"type":"numeric_atoms","value":4869,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3221,"base":16},"right_expr":{"type":"numeric_atoms","value":3395,"base":16}}}}},"used_operators":["12rbrZMWeM","JLbD19bQDL","srAu1WTS94","sdazOOVcIp","oWn0xqSxBt","g55IO6H4Gj","f6k1SAg4EE","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1E3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3354","layer":4},{"info":"number node, value=1755","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1755, 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=3300","layer":3},{"info":"compute unary expreesion, input=3300, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9900","layer":2},{"info":"compute unary expreesion, input=-9900, 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=2308","layer":4},{"info":"number node, value=4869","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=4869, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7177","layer":3},{"info":"number node, value=3221","layer":4},{"info":"number node, value=3395","layer":4},{"info":"compute binary expreesion, left_input=3221, right_input=3395, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-7177, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-14354","layer":2},{"info":"compute unary expreesion, input=-14354, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=196, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-483","layer":0}],"base":16,"result_base":16,"text":"((⨵≀≌(∃⊬D1A⪨≂∃⊬6DB))⪠⩆⊳)⋳⪒(⊙↵-((∃⊬904⪒∃⊬1305)⨸⪁(∃⊬C95∲⫓∃⊬D43)))=∃⊬-1E3","reverse_text":"∃⊬-1E3=((⨵≀≌(∃⊬D1A⪨≂∃⊬6DB))⪠⩆⊳)⋳⪒(⊙↵-((∃⊬904⪒∃⊬1305)⨸⪁(∃⊬C95∲⫓∃⊬D43)))","cot":[{"info":"∃⊬D1A⪨≂∃⊬6DB=∃⊬CE4","layer":3},{"info":"⨵≀≌∃⊬CE4=∃⊬-26AC","layer":2},{"info":"∃⊬-26AC⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬904⪒∃⊬1305=∃⊬-1C09","layer":3},{"info":"∃⊬C95∲⫓∃⊬D43=∃⊬0","layer":3},{"info":"∃⊬-1C09⨸⪁∃⊬0=∃⊬-3812","layer":2},{"info":"⊙↵-∃⊬-3812=∃⊬C4","layer":1},{"info":"∃⊬0⋳⪒∃⊬C4=∃⊬-1E3","layer":0}]}
{"id":554,"expression_no_base_symbol":"((⨞⊢$3844$)∲⫓(↔$4005$)⪨≂($8618$⨎$2216$⫡⨏$1136$∑⇟⊟$7858$))⇼⇔∾($2058$↙$7472$↛⩡⫤)⪄(-$1769$)⋝⋈⪟($2624$⫡⨏$3772$)","expression":"((⨞⊢∃⊬F04)∲⫓(↔∃⊬FA5)⪨≂(∃⊬21AA⨎∃⊬8A8⫡⨏∃⊬470∑⇟⊟∃⊬1EB2))⇼⇔∾(∃⊬80A↙∃⊬1D30↛⩡⫤)⪄(-∃⊬6E9)⋝⋈⪟(∃⊬A40⫡⨏∃⊬EBC)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":74971,"operation_count":14,"complexity_ratio":5355.071428571428,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3844,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4005,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8618,"base":16},"right_expr":{"type":"numeric_atoms","value":2216,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1136,"base":16},"right_expr":{"type":"numeric_atoms","value":7858,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2058,"base":16},"right_expr":{"type":"numeric_atoms","value":7472,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1769,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2624,"base":16},"right_expr":{"type":"numeric_atoms","value":3772,"base":16}}}}},"used_operators":["tifHPKVTfV","sdazOOVcIp","i8ToyICDmI","xUOZtlo3hN","ruOEQAzv1W","QMFrweE19q","rJVOvQCfKK","U7g4x0WXJJ","SUmda5xLS4","FU0Cs4j7VP","yyfyN0ffXY","2DDjHMKMc0","t8gj7n24qd"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3844","layer":4},{"info":"compute unary expreesion, input=3844, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-4018","layer":3},{"info":"number node, value=4005","layer":4},{"info":"compute unary expreesion, input=4005, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3732","layer":3},{"info":"compute binary expreesion, left_input=-4018, right_input=-3732, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-4018","layer":2},{"info":"number node, value=8618","layer":4},{"info":"number node, value=2216","layer":4},{"info":"compute binary expreesion, left_input=8618, right_input=2216, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2216","layer":3},{"info":"number node, value=1136","layer":4},{"info":"number node, value=7858","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=7858, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2216, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4018, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=2058","layer":4},{"info":"number node, value=7472","layer":4},{"info":"compute binary expreesion, left_input=2058, right_input=7472, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22416","layer":3},{"info":"compute unary expreesion, input=-22416, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=1458","layer":2},{"info":"number node, value=1769","layer":4},{"info":"compute unary expreesion, input=1769, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1769","layer":3},{"info":"number node, value=2624","layer":4},{"info":"number node, value=3772","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=3772, 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=21447","layer":3},{"info":"compute binary expreesion, left_input=-1769, right_input=21447, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1769","layer":2},{"info":"compute binary expreesion, left_input=1458, right_input=-1769, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-204797","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-204797, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨞⊢∃⊬F04)∲⫓(↔∃⊬FA5)⪨≂(∃⊬21AA⨎∃⊬8A8⫡⨏∃⊬470∑⇟⊟∃⊬1EB2))⇼⇔∾(∃⊬80A↙∃⊬1D30↛⩡⫤)⪄(-∃⊬6E9)⋝⋈⪟(∃⊬A40⫡⨏∃⊬EBC)=NaN","reverse_text":"NaN=((⨞⊢∃⊬F04)∲⫓(↔∃⊬FA5)⪨≂(∃⊬21AA⨎∃⊬8A8⫡⨏∃⊬470∑⇟⊟∃⊬1EB2))⇼⇔∾(∃⊬80A↙∃⊬1D30↛⩡⫤)⪄(-∃⊬6E9)⋝⋈⪟(∃⊬A40⫡⨏∃⊬EBC)","cot":[{"info":"⨞⊢∃⊬F04=∃⊬-FB2","layer":3},{"info":"↔∃⊬FA5=∃⊬-E94","layer":3},{"info":"∃⊬-FB2∲⫓∃⊬-E94=∃⊬-FB2","layer":2},{"info":"∃⊬21AA⨎∃⊬8A8=∃⊬8A8","layer":3},{"info":"∃⊬470∑⇟⊟∃⊬1EB2=NaN","layer":3},{"info":"∃⊬8A8⫡⨏NaN=NaN","layer":2},{"info":"∃⊬-FB2⪨≂NaN=NaN","layer":1},{"info":"∃⊬80A↙∃⊬1D30=∃⊬-5790","layer":3},{"info":"∃⊬-5790↛⩡⫤=∃⊬5B2","layer":2},{"info":"-∃⊬6E9=∃⊬-6E9","layer":3},{"info":"∃⊬A40⫡⨏∃⊬EBC=∃⊬53C7","layer":3},{"info":"∃⊬-6E9⋝⋈⪟∃⊬53C7=∃⊬-6E9","layer":2},{"info":"∃⊬5B2⪄∃⊬-6E9=∃⊬-31FFD","layer":1},{"info":"NaN⇼⇔∾∃⊬-31FFD=NaN","layer":0}]}
{"id":555,"expression_no_base_symbol":"≉(≦∁(⊄⩳↩$4926$))⋝⋈⪟(≉(⫓⪴$1647$))","expression":"≉(≦∁(⊄⩳↩∃⊬133E))⋝⋈⪟(≉(⫓⪴∃⊬66F))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1732,"operation_count":6,"complexity_ratio":288.6666666666667,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4926,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1647,"base":16}}}}},"used_operators":["e1ybzncUwg","2DDjHMKMc0","9ICcGScMcE","8w2t5hMYqp","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A"],"result":"∃⊬256","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4926","layer":4},{"info":"compute unary expreesion, input=4926, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-14778","layer":3},{"info":"compute unary expreesion, input=-14778, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=1647","layer":4},{"info":"compute unary expreesion, input=1647, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2712609","layer":3},{"info":"compute unary expreesion, input=2712609, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2713140","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=2713140, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=598","layer":0}],"base":16,"result_base":16,"text":"≉(≦∁(⊄⩳↩∃⊬133E))⋝⋈⪟(≉(⫓⪴∃⊬66F))=∃⊬256","reverse_text":"∃⊬256=≉(≦∁(⊄⩳↩∃⊬133E))⋝⋈⪟(≉(⫓⪴∃⊬66F))","cot":[{"info":"⊄⩳↩∃⊬133E=∃⊬-39BA","layer":3},{"info":"≦∁∃⊬-39BA=∃⊬43","layer":2},{"info":"⫓⪴∃⊬66F=∃⊬296421","layer":3},{"info":"≉∃⊬296421=∃⊬296634","layer":2},{"info":"∃⊬43⋝⋈⪟∃⊬296634=∃⊬43","layer":1},{"info":"≉∃⊬43=∃⊬256","layer":0}]}
{"id":556,"expression_no_base_symbol":"($6366$⨳⩥⨓$2444$%$8728$⨐⩸⫘$3360$)⋓(⊄⩳↩$1058$⨪↰⇹$2065$)⫸⊐($1741$∧)⨰($1937$⩚⊴⇥$1547$)⨰(⊥($3246$⨐⩸⫘$3357$))","expression":"(∃⊬18DE⨳⩥⨓∃⊬98C%∃⊬2218⨐⩸⫘∃⊬D20)⋓(⊄⩳↩∃⊬422⨪↰⇹∃⊬811)⫸⊐(∃⊬6CD∧)⨰(∃⊬791⩚⊴⇥∃⊬60B)⨰(⊥(∃⊬CAE⨐⩸⫘∃⊬D1D))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1106,"operation_count":13,"complexity_ratio":85.07692307692308,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6366,"base":16},"right_expr":{"type":"numeric_atoms","value":2444,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8728,"base":16},"right_expr":{"type":"numeric_atoms","value":3360,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1058,"base":16},"right_expr":{"type":"numeric_atoms","value":2065,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1741,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1937,"base":16},"right_expr":{"type":"numeric_atoms","value":1547,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3246,"base":16},"right_expr":{"type":"numeric_atoms","value":3357,"base":16}}}}},"used_operators":["mqXw5SEYmG","T2fj7uvVaJ","k8jYdgA6NY","nCS4ZIUYfx","fu6greOZ01","8w2t5hMYqp","tmPS8pqC7x","eewbuw0ToL","z63VuFQld9","NTOWxs364D","Q3PJZHRvZv"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6366","layer":4},{"info":"number node, value=2444","layer":4},{"info":"compute binary expreesion, left_input=6366, right_input=2444, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-3922","layer":3},{"info":"number node, value=8728","layer":4},{"info":"number node, value=3360","layer":4},{"info":"compute binary expreesion, left_input=8728, right_input=3360, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3922, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1058","layer":4},{"info":"number node, value=2065","layer":4},{"info":"compute binary expreesion, left_input=1058, right_input=2065, 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=1058","layer":3},{"info":"compute unary expreesion, input=1058, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3174","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3174, 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=1741","layer":4},{"info":"compute unary expreesion, input=1741, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=1937","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=1937, right_input=1547, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3605","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3605, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3246","layer":4},{"info":"number node, value=3357","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=3357, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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=0","layer":0}],"base":16,"result_base":16,"text":"(∃⊬18DE⨳⩥⨓∃⊬98C%∃⊬2218⨐⩸⫘∃⊬D20)⋓(⊄⩳↩∃⊬422⨪↰⇹∃⊬811)⫸⊐(∃⊬6CD∧)⨰(∃⊬791⩚⊴⇥∃⊬60B)⨰(⊥(∃⊬CAE⨐⩸⫘∃⊬D1D))=∃⊬0","reverse_text":"∃⊬0=(∃⊬18DE⨳⩥⨓∃⊬98C%∃⊬2218⨐⩸⫘∃⊬D20)⋓(⊄⩳↩∃⊬422⨪↰⇹∃⊬811)⫸⊐(∃⊬6CD∧)⨰(∃⊬791⩚⊴⇥∃⊬60B)⨰(⊥(∃⊬CAE⨐⩸⫘∃⊬D1D))","cot":[{"info":"∃⊬18DE⨳⩥⨓∃⊬98C=∃⊬-F52","layer":3},{"info":"∃⊬2218⨐⩸⫘∃⊬D20=NaN","layer":3},{"info":"∃⊬-F52%NaN=NaN","layer":2},{"info":"∃⊬422⨪↰⇹∃⊬811=∃⊬422","layer":3},{"info":"⊄⩳↩∃⊬422=∃⊬-C66","layer":2},{"info":"NaN⋓∃⊬-C66=∃⊬0","layer":1},{"info":"∃⊬6CD∧=NaN","layer":3},{"info":"∃⊬791⩚⊴⇥∃⊬60B=∃⊬-E15","layer":3},{"info":"NaN⨰∃⊬-E15=NaN","layer":2},{"info":"∃⊬CAE⨐⩸⫘∃⊬D1D=NaN","layer":3},{"info":"⊥NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"∃⊬0⫸⊐NaN=∃⊬0","layer":0}]}
{"id":557,"expression_no_base_symbol":"(⊙↵-(⨈⫕$3058$⨎$5928$))⫥∨⫟(($6233$⋥≓≎$1484$)⨎($1016$∧))⨪↰⇹($5422$⩷∴$4335$)⨪↰⇹$3607$∀⇚≩$1908$","expression":"(⊙↵-(⨈⫕∃⊬BF2⨎∃⊬1728))⫥∨⫟((∃⊬1859⋥≓≎∃⊬5CC)⨎(∃⊬3F8∧))⨪↰⇹(∃⊬152E⩷∴∃⊬10EF)⨪↰⇹∃⊬E17∀⇚≩∃⊬774","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":27997,"operation_count":11,"complexity_ratio":2545.181818181818,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3058,"base":16},"right_expr":{"type":"numeric_atoms","value":5928,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6233,"base":16},"right_expr":{"type":"numeric_atoms","value":1484,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1016,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5422,"base":16},"right_expr":{"type":"numeric_atoms","value":4335,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3607,"base":16},"right_expr":{"type":"numeric_atoms","value":1908,"base":16}}}}},"used_operators":["KYD54nUTWz","oWn0xqSxBt","megm06wKyl","rJVOvQCfKK","tmPS8pqC7x","Qy55tPpLXF","z63VuFQld9","9FxExcQeMw","LRNGc0VcxI"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3058","layer":4},{"info":"number node, value=5928","layer":4},{"info":"compute binary expreesion, left_input=3058, right_input=5928, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5928","layer":3},{"info":"compute unary expreesion, input=5928, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":1},{"info":"number node, value=6233","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=6233, right_input=1484, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3232","layer":3},{"info":"number node, value=1016","layer":4},{"info":"compute unary expreesion, input=1016, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3232, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":2},{"info":"number node, value=5422","layer":4},{"info":"number node, value=4335","layer":4},{"info":"compute binary expreesion, left_input=5422, right_input=4335, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2142","layer":3},{"info":"number node, value=3607","layer":4},{"info":"number node, value=1908","layer":4},{"info":"compute binary expreesion, left_input=3607, right_input=1908, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2142, 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=2142","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2142, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-(⨈⫕∃⊬BF2⨎∃⊬1728))⫥∨⫟((∃⊬1859⋥≓≎∃⊬5CC)⨎(∃⊬3F8∧))⨪↰⇹(∃⊬152E⩷∴∃⊬10EF)⨪↰⇹∃⊬E17∀⇚≩∃⊬774=NaN","reverse_text":"NaN=(⊙↵-(⨈⫕∃⊬BF2⨎∃⊬1728))⫥∨⫟((∃⊬1859⋥≓≎∃⊬5CC)⨎(∃⊬3F8∧))⨪↰⇹(∃⊬152E⩷∴∃⊬10EF)⨪↰⇹∃⊬E17∀⇚≩∃⊬774","cot":[{"info":"∃⊬BF2⨎∃⊬1728=∃⊬1728","layer":3},{"info":"⨈⫕∃⊬1728=∃⊬-15","layer":2},{"info":"⊙↵-∃⊬-15=∃⊬0","layer":1},{"info":"∃⊬1859⋥≓≎∃⊬5CC=∃⊬-CA0","layer":3},{"info":"∃⊬3F8∧=NaN","layer":3},{"info":"∃⊬-CA0⨎NaN=NaN","layer":2},{"info":"∃⊬152E⩷∴∃⊬10EF=∃⊬85E","layer":3},{"info":"∃⊬E17∀⇚≩∃⊬774=NaN","layer":3},{"info":"∃⊬85E⨪↰⇹NaN=∃⊬85E","layer":2},{"info":"NaN⨪↰⇹∃⊬85E=NaN","layer":1},{"info":"∃⊬0⫥∨⫟NaN=NaN","layer":0}]}
{"id":558,"expression_no_base_symbol":"((-$1471$⨸⪁$5477$)⨐⩸⫘(($8316$⩨$1224$)⪠⩆⊳))∑⇟⊟(($5191$⩤)+⇶⊼(≉$1560$)/(∂($3243$⨓$6514$)))","expression":"((-∃⊬5BF⨸⪁∃⊬1565)⨐⩸⫘((∃⊬207C⩨∃⊬4C8)⪠⩆⊳))∑⇟⊟((∃⊬1447⩤)+⇶⊼(≉∃⊬618)/(∂(∃⊬CAB⨓∃⊬1972)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6958,"operation_count":12,"complexity_ratio":579.8333333333334,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1471,"base":16},"right_expr":{"type":"numeric_atoms","value":5477,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8316,"base":16},"right_expr":{"type":"numeric_atoms","value":1224,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5191,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1560,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3243,"base":16},"right_expr":{"type":"numeric_atoms","value":6514,"base":16}}}}},"used_operators":["U7g4x0WXJJ","fu6greOZ01","t8gj7n24qd","g55IO6H4Gj","JLbD19bQDL","2DlMacCsIx","XhwjNDsVaA","TpPTUOHfaN","Z2TMIBDE3Q","e1ybzncUwg","Uaa54Peajs","3ViojmjbAp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1471","layer":4},{"info":"number node, value=5477","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=5477, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13896","layer":3},{"info":"compute unary expreesion, input=13896, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-13896","layer":2},{"info":"number node, value=8316","layer":4},{"info":"number node, value=1224","layer":4},{"info":"compute binary expreesion, left_input=8316, right_input=1224, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-13896, 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=-13896","layer":1},{"info":"number node, value=5191","layer":4},{"info":"compute unary expreesion, input=5191, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5191","layer":3},{"info":"number node, value=1560","layer":4},{"info":"compute unary expreesion, input=1560, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2091","layer":3},{"info":"compute binary expreesion, left_input=-5191, right_input=2091, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3243","layer":4},{"info":"number node, value=6514","layer":4},{"info":"compute binary expreesion, left_input=3243, right_input=6514, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6517","layer":3},{"info":"compute unary expreesion, input=-6517, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=6253","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6253, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-13896, 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":"((-∃⊬5BF⨸⪁∃⊬1565)⨐⩸⫘((∃⊬207C⩨∃⊬4C8)⪠⩆⊳))∑⇟⊟((∃⊬1447⩤)+⇶⊼(≉∃⊬618)/(∂(∃⊬CAB⨓∃⊬1972)))=NaN","reverse_text":"NaN=((-∃⊬5BF⨸⪁∃⊬1565)⨐⩸⫘((∃⊬207C⩨∃⊬4C8)⪠⩆⊳))∑⇟⊟((∃⊬1447⩤)+⇶⊼(≉∃⊬618)/(∂(∃⊬CAB⨓∃⊬1972)))","cot":[{"info":"∃⊬5BF⨸⪁∃⊬1565=∃⊬3648","layer":3},{"info":"-∃⊬3648=∃⊬-3648","layer":2},{"info":"∃⊬207C⩨∃⊬4C8=∃⊬0","layer":3},{"info":"∃⊬0⪠⩆⊳=∃⊬0","layer":2},{"info":"∃⊬-3648⨐⩸⫘∃⊬0=∃⊬-3648","layer":1},{"info":"∃⊬1447⩤=∃⊬-1447","layer":3},{"info":"≉∃⊬618=∃⊬82B","layer":3},{"info":"∃⊬-1447+⇶⊼∃⊬82B=NaN","layer":2},{"info":"∃⊬CAB⨓∃⊬1972=∃⊬-1975","layer":3},{"info":"∂∃⊬-1975=∃⊬186D","layer":2},{"info":"NaN/∃⊬186D=NaN","layer":1},{"info":"∃⊬-3648∑⇟⊟NaN=NaN","layer":0}]}
{"id":559,"expression_no_base_symbol":"(⨑⩽⪐(+⊝⨔$1849$))⨳⩥⨓($3655$⋝⋈⪟$5924$⋷$4551$⇼⇔∾$1715$)⪒($5066$∀⇚≩$8466$⨁⊸⫻)⫥∨⫟($1109$∧)∀⇚≩$4744$⨪↰⇹$2101$","expression":"(⨑⩽⪐(+⊝⨔∃⊬739))⨳⩥⨓(∃⊬E47⋝⋈⪟∃⊬1724⋷∃⊬11C7⇼⇔∾∃⊬6B3)⪒(∃⊬13CA∀⇚≩∃⊬2112⨁⊸⫻)⫥∨⫟(∃⊬455∧)∀⇚≩∃⊬1288⨪↰⇹∃⊬835","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40426,"operation_count":13,"complexity_ratio":3109.6923076923076,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1849,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3655,"base":16},"right_expr":{"type":"numeric_atoms","value":5924,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4551,"base":16},"right_expr":{"type":"numeric_atoms","value":1715,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":5066,"base":16},"right_expr":{"type":"numeric_atoms","value":8466,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1109,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4744,"base":16},"right_expr":{"type":"numeric_atoms","value":2101,"base":16}}}}},"used_operators":["f6k1SAg4EE","nCS4ZIUYfx","AF7qkfDlqP","DhbWaqg5eL","23Mk6UjR3U","2DDjHMKMc0","tifHPKVTfV","KYD54nUTWz","glklzrTFfD","LRNGc0VcxI","z63VuFQld9","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1249","layer":2},{"info":"number node, value=3655","layer":4},{"info":"number node, value=5924","layer":4},{"info":"compute binary expreesion, left_input=3655, right_input=5924, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3655","layer":3},{"info":"number node, value=4551","layer":4},{"info":"number node, value=1715","layer":4},{"info":"compute binary expreesion, left_input=4551, right_input=1715, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-2836","layer":3},{"info":"compute binary expreesion, left_input=3655, right_input=-2836, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-9327","layer":2},{"info":"compute binary expreesion, left_input=-1249, right_input=-9327, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-8078","layer":1},{"info":"number node, value=5066","layer":4},{"info":"number node, value=8466","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=8466, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=1109","layer":4},{"info":"compute unary expreesion, input=1109, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=4744","layer":4},{"info":"number node, value=2101","layer":4},{"info":"compute binary expreesion, left_input=4744, right_input=2101, 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=4744","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4744, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-8078, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨑⩽⪐(+⊝⨔∃⊬739))⨳⩥⨓(∃⊬E47⋝⋈⪟∃⊬1724⋷∃⊬11C7⇼⇔∾∃⊬6B3)⪒(∃⊬13CA∀⇚≩∃⊬2112⨁⊸⫻)⫥∨⫟(∃⊬455∧)∀⇚≩∃⊬1288⨪↰⇹∃⊬835=NaN","reverse_text":"NaN=(⨑⩽⪐(+⊝⨔∃⊬739))⨳⩥⨓(∃⊬E47⋝⋈⪟∃⊬1724⋷∃⊬11C7⇼⇔∾∃⊬6B3)⪒(∃⊬13CA∀⇚≩∃⊬2112⨁⊸⫻)⫥∨⫟(∃⊬455∧)∀⇚≩∃⊬1288⨪↰⇹∃⊬835","cot":[{"info":"+⊝⨔∃⊬739=∃⊬5F2","layer":3},{"info":"⨑⩽⪐∃⊬5F2=∃⊬-4E1","layer":2},{"info":"∃⊬E47⋝⋈⪟∃⊬1724=∃⊬E47","layer":3},{"info":"∃⊬11C7⇼⇔∾∃⊬6B3=∃⊬-B14","layer":3},{"info":"∃⊬E47⋷∃⊬-B14=∃⊬-246F","layer":2},{"info":"∃⊬-4E1⨳⩥⨓∃⊬-246F=∃⊬-1F8E","layer":1},{"info":"∃⊬13CA∀⇚≩∃⊬2112=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"∃⊬455∧=NaN","layer":3},{"info":"∃⊬1288⨪↰⇹∃⊬835=∃⊬1288","layer":3},{"info":"NaN∀⇚≩∃⊬1288=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬-1F8E⪒NaN=NaN","layer":0}]}
{"id":560,"expression_no_base_symbol":"⫓⪴(($6901$⪢$1026$⋷$1096$⨪↰⇹$1444$)↛⩡⫤)","expression":"⫓⪴((∃⊬1AF5⪢∃⊬402⋷∃⊬448⨪↰⇹∃⊬5A4)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12181,"operation_count":5,"complexity_ratio":2436.2,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6901,"base":16},"right_expr":{"type":"numeric_atoms","value":1026,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1096,"base":16},"right_expr":{"type":"numeric_atoms","value":1444,"base":16}}}}},"used_operators":["eLxqMNBOBk","FU0Cs4j7VP","23Mk6UjR3U","dWAJyo7jo9","tmPS8pqC7x"],"dependent_operators":["9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6901","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=6901, right_input=1026, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1096","layer":4},{"info":"number node, value=1444","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=1444, 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=1096","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1096, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫓⪴((∃⊬1AF5⪢∃⊬402⋷∃⊬448⨪↰⇹∃⊬5A4)↛⩡⫤)=NaN","reverse_text":"NaN=⫓⪴((∃⊬1AF5⪢∃⊬402⋷∃⊬448⨪↰⇹∃⊬5A4)↛⩡⫤)","cot":[{"info":"∃⊬1AF5⪢∃⊬402=NaN","layer":3},{"info":"∃⊬448⨪↰⇹∃⊬5A4=∃⊬448","layer":3},{"info":"NaN⋷∃⊬448=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":561,"expression_no_base_symbol":"(($2773$⋝⋈⪟$1979$⇋≉)⨵⪆$2615$⋳⪒$3396$⪄(-$4247$))⪛((⨈⫕$1248$)⨽(≤/$2380$))⨟⋌⩍((⨰⫟⨤$1043$)⩷∴(↩$3423$))","expression":"((∃⊬AD5⋝⋈⪟∃⊬7BB⇋≉)⨵⪆∃⊬A37⋳⪒∃⊬D44⪄(-∃⊬1097))⪛((⨈⫕∃⊬4E0)⨽(≤/∃⊬94C))⨟⋌⩍((⨰⫟⨤∃⊬413)⩷∴(↩∃⊬D5F))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3885,"operation_count":14,"complexity_ratio":277.5,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2773,"base":16},"right_expr":{"type":"numeric_atoms","value":1979,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2615,"base":16},"right_expr":{"type":"numeric_atoms","value":3396,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4247,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1248,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2380,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1043,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3423,"base":16}}}}},"used_operators":["uFcxV4UQCh","2DQ55sFlQl","XIabStNQrY","2DDjHMKMc0","SUmda5xLS4","12rbrZMWeM","t8gj7n24qd","rGHVDoGpnC","8HhzD0ZcuI","megm06wKyl","eLAdDNolq6","9FxExcQeMw","Tw270M8GLb","jLgFTUHLKL"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","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=2773","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=1979, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2773","layer":3},{"info":"compute unary expreesion, input=2773, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5448","layer":2},{"info":"number node, value=2615","layer":4},{"info":"number node, value=3396","layer":4},{"info":"compute binary expreesion, left_input=2615, right_input=3396, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1547","layer":3},{"info":"number node, value=4247","layer":4},{"info":"compute unary expreesion, input=4247, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4247","layer":3},{"info":"compute binary expreesion, left_input=1547, right_input=-4247, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-208057","layer":2},{"info":"compute binary expreesion, left_input=5448, right_input=-208057, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1248","layer":4},{"info":"compute unary expreesion, input=1248, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=2380","layer":4},{"info":"compute unary expreesion, input=2380, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1896","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-1896, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=5679","layer":2},{"info":"number node, value=1043","layer":4},{"info":"compute unary expreesion, input=1043, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3423","layer":4},{"info":"compute unary expreesion, input=3423, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-24604","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24604, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5679, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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":"((∃⊬AD5⋝⋈⪟∃⊬7BB⇋≉)⨵⪆∃⊬A37⋳⪒∃⊬D44⪄(-∃⊬1097))⪛((⨈⫕∃⊬4E0)⨽(≤/∃⊬94C))⨟⋌⩍((⨰⫟⨤∃⊬413)⩷∴(↩∃⊬D5F))=NaN","reverse_text":"NaN=((∃⊬AD5⋝⋈⪟∃⊬7BB⇋≉)⨵⪆∃⊬A37⋳⪒∃⊬D44⪄(-∃⊬1097))⪛((⨈⫕∃⊬4E0)⨽(≤/∃⊬94C))⨟⋌⩍((⨰⫟⨤∃⊬413)⩷∴(↩∃⊬D5F))","cot":[{"info":"∃⊬AD5⋝⋈⪟∃⊬7BB=∃⊬AD5","layer":3},{"info":"∃⊬AD5⇋≉=∃⊬1548","layer":2},{"info":"∃⊬A37⋳⪒∃⊬D44=∃⊬60B","layer":3},{"info":"-∃⊬1097=∃⊬-1097","layer":3},{"info":"∃⊬60B⪄∃⊬-1097=∃⊬-32CB9","layer":2},{"info":"∃⊬1548⨵⪆∃⊬-32CB9=∃⊬A0","layer":1},{"info":"⨈⫕∃⊬4E0=∃⊬-15","layer":3},{"info":"≤/∃⊬94C=∃⊬-768","layer":3},{"info":"∃⊬-15⨽∃⊬-768=∃⊬162F","layer":2},{"info":"⨰⫟⨤∃⊬413=NaN","layer":3},{"info":"↩∃⊬D5F=∃⊬-601C","layer":3},{"info":"NaN⩷∴∃⊬-601C=NaN","layer":2},{"info":"∃⊬162F⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬A0⪛NaN=NaN","layer":0}]}
{"id":562,"expression_no_base_symbol":"↽≂((($1686$⩤)≫≃)⪄($1399$⨸⪁$2350$⫡⨏$2321$⨽$2242$))","expression":"↽≂(((∃⊬696⩤)≫≃)⪄(∃⊬577⨸⪁∃⊬92E⫡⨏∃⊬911⨽∃⊬8C2))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2443,"operation_count":7,"complexity_ratio":349.0,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1686,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1399,"base":16},"right_expr":{"type":"numeric_atoms","value":2350,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2321,"base":16},"right_expr":{"type":"numeric_atoms","value":2242,"base":16}}}}},"used_operators":["u6S6b8DprG","SUmda5xLS4","X99M06cbEe","Z2TMIBDE3Q","QMFrweE19q","g55IO6H4Gj","8HhzD0ZcuI"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"∃⊬-1F16","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1686","layer":4},{"info":"compute unary expreesion, input=1686, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1686","layer":3},{"info":"compute unary expreesion, input=-1686, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-1971","layer":2},{"info":"number node, value=1399","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=1399, right_input=2350, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7498","layer":3},{"info":"number node, value=2321","layer":4},{"info":"number node, value=2242","layer":4},{"info":"compute binary expreesion, left_input=2321, right_input=2242, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-16166535","layer":3},{"info":"compute binary expreesion, left_input=7498, right_input=-16166535, 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=-32294797","layer":2},{"info":"compute binary expreesion, left_input=-1971, right_input=-32294797, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"compute unary expreesion, input=3979, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7958","layer":0}],"base":16,"result_base":16,"text":"↽≂(((∃⊬696⩤)≫≃)⪄(∃⊬577⨸⪁∃⊬92E⫡⨏∃⊬911⨽∃⊬8C2))=∃⊬-1F16","reverse_text":"∃⊬-1F16=↽≂(((∃⊬696⩤)≫≃)⪄(∃⊬577⨸⪁∃⊬92E⫡⨏∃⊬911⨽∃⊬8C2))","cot":[{"info":"∃⊬696⩤=∃⊬-696","layer":3},{"info":"∃⊬-696≫≃=∃⊬-7B3","layer":2},{"info":"∃⊬577⨸⪁∃⊬92E=∃⊬1D4A","layer":3},{"info":"∃⊬911⨽∃⊬8C2=∃⊬-F6AE87","layer":3},{"info":"∃⊬1D4A⫡⨏∃⊬-F6AE87=∃⊬-1ECC78D","layer":2},{"info":"∃⊬-7B3⪄∃⊬-1ECC78D=∃⊬F8B","layer":1},{"info":"↽≂∃⊬F8B=∃⊬-1F16","layer":0}]}
{"id":563,"expression_no_base_symbol":"((↩$1626$)%$3096$⋝⋈⪟$1465$)⋓($4565$⋓$1453$)≹⇙⪍(⨵≀≌$2343$)⨁⊸⫻","expression":"((↩∃⊬65A)%∃⊬C18⋝⋈⪟∃⊬5B9)⋓(∃⊬11D5⋓∃⊬5AD)≹⇙⪍(⨵≀≌∃⊬927)⨁⊸⫻","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53,"operation_count":8,"complexity_ratio":6.625,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1626,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3096,"base":16},"right_expr":{"type":"numeric_atoms","value":1465,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4565,"base":16},"right_expr":{"type":"numeric_atoms","value":1453,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2343,"base":16}}}}},"used_operators":["glklzrTFfD","T2fj7uvVaJ","k8jYdgA6NY","jLgFTUHLKL","2DDjHMKMc0","AHs5Up7iyr","srAu1WTS94"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1626","layer":4},{"info":"compute unary expreesion, input=1626, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-10228","layer":3},{"info":"number node, value=3096","layer":4},{"info":"number node, value=1465","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=1465, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3096","layer":3},{"info":"compute binary expreesion, left_input=-10228, right_input=3096, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2156","layer":2},{"info":"number node, value=4565","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=4565, right_input=1453, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2343","layer":4},{"info":"compute unary expreesion, input=2343, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7029","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-7029, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2156, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↩∃⊬65A)%∃⊬C18⋝⋈⪟∃⊬5B9)⋓(∃⊬11D5⋓∃⊬5AD)≹⇙⪍(⨵≀≌∃⊬927)⨁⊸⫻=NaN","reverse_text":"NaN=((↩∃⊬65A)%∃⊬C18⋝⋈⪟∃⊬5B9)⋓(∃⊬11D5⋓∃⊬5AD)≹⇙⪍(⨵≀≌∃⊬927)⨁⊸⫻","cot":[{"info":"↩∃⊬65A=∃⊬-27F4","layer":3},{"info":"∃⊬C18⋝⋈⪟∃⊬5B9=∃⊬C18","layer":3},{"info":"∃⊬-27F4%∃⊬C18=∃⊬86C","layer":2},{"info":"∃⊬11D5⋓∃⊬5AD=∃⊬0","layer":3},{"info":"⨵≀≌∃⊬927=∃⊬-1B75","layer":3},{"info":"∃⊬0≹⇙⪍∃⊬-1B75=NaN","layer":2},{"info":"∃⊬86C⋓NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":564,"expression_no_base_symbol":"(((⊥$1184$)⊪)⩚⊴⇥(∥⊫($2097$⩠)))⋓(($5334$∲⫓$1684$)⨪↰⇹($1620$+⇶⊼$1629$)∸)","expression":"(((⊥∃⊬4A0)⊪)⩚⊴⇥(∥⊫(∃⊬831⩠)))⋓((∃⊬14D6∲⫓∃⊬694)⨪↰⇹(∃⊬654+⇶⊼∃⊬65D)∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":233,"operation_count":10,"complexity_ratio":23.3,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1184,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2097,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5334,"base":16},"right_expr":{"type":"numeric_atoms","value":1684,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1620,"base":16},"right_expr":{"type":"numeric_atoms","value":1629,"base":16}}}}},"used_operators":["T2fj7uvVaJ","NTOWxs364D","zVYPLywUTj","Q3PJZHRvZv","P8v4zCKN1o","sJAwomhLZr","o20kRiQErp","tmPS8pqC7x","i8ToyICDmI","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","tmPS8pqC7x","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1184","layer":4},{"info":"compute unary expreesion, input=1184, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":2},{"info":"number node, value=2097","layer":4},{"info":"compute unary expreesion, input=2097, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=868, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=5334","layer":4},{"info":"number node, value=1684","layer":4},{"info":"compute binary expreesion, left_input=5334, right_input=1684, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1620","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=1620, right_input=1629, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 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":"(((⊥∃⊬4A0)⊪)⩚⊴⇥(∥⊫(∃⊬831⩠)))⋓((∃⊬14D6∲⫓∃⊬694)⨪↰⇹(∃⊬654+⇶⊼∃⊬65D)∸)=∃⊬0","reverse_text":"∃⊬0=(((⊥∃⊬4A0)⊪)⩚⊴⇥(∥⊫(∃⊬831⩠)))⋓((∃⊬14D6∲⫓∃⊬694)⨪↰⇹(∃⊬654+⇶⊼∃⊬65D)∸)","cot":[{"info":"⊥∃⊬4A0=NaN","layer":3},{"info":"NaN⊪=NaN","layer":2},{"info":"∃⊬831⩠=∃⊬0","layer":3},{"info":"∥⊫∃⊬0=∃⊬364","layer":2},{"info":"NaN⩚⊴⇥∃⊬364=NaN","layer":1},{"info":"∃⊬14D6∲⫓∃⊬694=∃⊬0","layer":3},{"info":"∃⊬654+⇶⊼∃⊬65D=NaN","layer":3},{"info":"∃⊬0⨪↰⇹NaN=∃⊬0","layer":2},{"info":"∃⊬0∸=∃⊬B1","layer":1},{"info":"NaN⋓∃⊬B1=∃⊬0","layer":0}]}
{"id":565,"expression_no_base_symbol":"((($1176$⪠⩆⊳)⨳⩥⨓($2493$+$1712$))⩠)⊴(⨰⫟⨤((⊄⩳↩$1962$)≎⊠⪸(⇁⨣⪵$1312$)))","expression":"(((∃⊬498⪠⩆⊳)⨳⩥⨓(∃⊬9BD+∃⊬6B0))⩠)⊴(⨰⫟⨤((⊄⩳↩∃⊬7AA)≎⊠⪸(⇁⨣⪵∃⊬520)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":942,"operation_count":9,"complexity_ratio":104.66666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1176,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2493,"base":16},"right_expr":{"type":"numeric_atoms","value":1712,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1962,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1312,"base":16}}}}},"used_operators":["Nsiff2A1zJ","sJAwomhLZr","nCS4ZIUYfx","JLbD19bQDL","W4YGzv6Whe","Tw270M8GLb","bJkvcejdHO","8w2t5hMYqp","inkyxCbjAn"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=2493","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=2493, right_input=1712, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4205","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4205, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4205","layer":2},{"info":"compute unary expreesion, input=4205, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":1},{"info":"number node, value=1962","layer":4},{"info":"compute unary expreesion, input=1962, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5886","layer":3},{"info":"number node, value=1312","layer":4},{"info":"compute unary expreesion, input=1312, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5886, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = 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 = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬498⪠⩆⊳)⨳⩥⨓(∃⊬9BD+∃⊬6B0))⩠)⊴(⨰⫟⨤((⊄⩳↩∃⊬7AA)≎⊠⪸(⇁⨣⪵∃⊬520)))=NaN","reverse_text":"NaN=(((∃⊬498⪠⩆⊳)⨳⩥⨓(∃⊬9BD+∃⊬6B0))⩠)⊴(⨰⫟⨤((⊄⩳↩∃⊬7AA)≎⊠⪸(⇁⨣⪵∃⊬520)))","cot":[{"info":"∃⊬498⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬9BD+∃⊬6B0=∃⊬106D","layer":3},{"info":"∃⊬0⨳⩥⨓∃⊬106D=∃⊬106D","layer":2},{"info":"∃⊬106D⩠=∃⊬0","layer":1},{"info":"⊄⩳↩∃⊬7AA=∃⊬-16FE","layer":3},{"info":"⇁⨣⪵∃⊬520=NaN","layer":3},{"info":"∃⊬-16FE≎⊠⪸NaN=∃⊬43","layer":2},{"info":"⨰⫟⨤∃⊬43=NaN","layer":1},{"info":"∃⊬0⊴NaN=NaN","layer":0}]}
{"id":566,"expression_no_base_symbol":"(⨵≀≌$3482$)⨟⋌⩍($2048$⩠)↬(⪲⇎$1814$↬$1463$)⨎(↥(⨑⩽⪐($4319$≦≮≮)))","expression":"(⨵≀≌∃⊬D9A)⨟⋌⩍(∃⊬800⩠)↬(⪲⇎∃⊬716↬∃⊬5B7)⨎(↥(⨑⩽⪐(∃⊬10DF≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":560,"operation_count":10,"complexity_ratio":56.0,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3482,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2048,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1814,"base":16},"right_expr":{"type":"numeric_atoms","value":1463,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4319,"base":16}}}}},"used_operators":["rJVOvQCfKK","B5M0gjZbta","rGHVDoGpnC","srAu1WTS94","sJAwomhLZr","XPYlsWDdGa","A8NUZmVepG","AF7qkfDlqP","D4vGDi5EA2"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","Tcnh7f0tEr","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3482","layer":4},{"info":"compute unary expreesion, input=3482, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10446","layer":3},{"info":"number node, value=2048","layer":4},{"info":"compute unary expreesion, input=2048, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-10446, right_input=0, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=-10446","layer":2},{"info":"number node, value=1814","layer":4},{"info":"number node, value=1463","layer":4},{"info":"compute binary expreesion, left_input=1814, right_input=1463, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10446, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=4319","layer":4},{"info":"compute unary expreesion, input=4319, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-12957","layer":3},{"info":"compute unary expreesion, input=-12957, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=26703","layer":2},{"info":"compute unary expreesion, input=26703, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=30, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=30","layer":0}],"base":16,"result_base":16,"text":"(⨵≀≌∃⊬D9A)⨟⋌⩍(∃⊬800⩠)↬(⪲⇎∃⊬716↬∃⊬5B7)⨎(↥(⨑⩽⪐(∃⊬10DF≦≮≮)))=∃⊬1E","reverse_text":"∃⊬1E=(⨵≀≌∃⊬D9A)⨟⋌⩍(∃⊬800⩠)↬(⪲⇎∃⊬716↬∃⊬5B7)⨎(↥(⨑⩽⪐(∃⊬10DF≦≮≮)))","cot":[{"info":"⨵≀≌∃⊬D9A=∃⊬-28CE","layer":3},{"info":"∃⊬800⩠=∃⊬0","layer":3},{"info":"∃⊬-28CE⨟⋌⩍∃⊬0=∃⊬-28CE","layer":2},{"info":"∃⊬716↬∃⊬5B7=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"∃⊬-28CE↬NaN=NaN","layer":1},{"info":"∃⊬10DF≦≮≮=∃⊬-329D","layer":3},{"info":"⨑⩽⪐∃⊬-329D=∃⊬684F","layer":2},{"info":"↥∃⊬684F=∃⊬1E","layer":1},{"info":"NaN⨎∃⊬1E=∃⊬1E","layer":0}]}
{"id":567,"expression_no_base_symbol":"((≤/$4056$)⊉≛↸($2105$⇼⇔∾$5529$))⨳⩥⨓(+⊝⨔$2708$)⪮%⊝($5613$⫥∨⫟$3242$)/(⊄⩳↩$1424$)⊴($4354$⪘⫢$4925$)⩨($5376$↙$2250$)⨐⩸⫘(⋗⩬⋾$1661$)","expression":"((≤/∃⊬FD8)⊉≛↸(∃⊬839⇼⇔∾∃⊬1599))⨳⩥⨓(+⊝⨔∃⊬A94)⪮%⊝(∃⊬15ED⫥∨⫟∃⊬CAA)/(⊄⩳↩∃⊬590)⊴(∃⊬1102⪘⫢∃⊬133D)⩨(∃⊬1500↙∃⊬8CA)⨐⩸⫘(⋗⩬⋾∃⊬67D)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11721,"operation_count":15,"complexity_ratio":781.4,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4056,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2105,"base":16},"right_expr":{"type":"numeric_atoms","value":5529,"base":16}}},"right_expr":{"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":5613,"base":16},"right_expr":{"type":"numeric_atoms","value":3242,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1424,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4354,"base":16},"right_expr":{"type":"numeric_atoms","value":4925,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5376,"base":16},"right_expr":{"type":"numeric_atoms","value":2250,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1661,"base":16}}}}},"used_operators":["XhwjNDsVaA","nCS4ZIUYfx","DZ8iAZOCBD","eLAdDNolq6","tifHPKVTfV","IWmyXbctLI","DhbWaqg5eL","KYD54nUTWz","2DlMacCsIx","Nsiff2A1zJ","8w2t5hMYqp","oacrs7FA3X","fu6greOZ01","yyfyN0ffXY","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4056","layer":4},{"info":"compute unary expreesion, input=4056, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3572","layer":3},{"info":"number node, value=2105","layer":4},{"info":"number node, value=5529","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=5529, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3424","layer":3},{"info":"compute binary expreesion, left_input=-3572, right_input=3424, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-3424","layer":2},{"info":"number node, value=2708","layer":4},{"info":"compute unary expreesion, input=2708, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=5613","layer":4},{"info":"number node, value=3242","layer":4},{"info":"compute binary expreesion, left_input=5613, right_input=3242, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3424, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4272","layer":3},{"info":"number node, value=4354","layer":4},{"info":"number node, value=4925","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=4925, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8584","layer":3},{"info":"compute binary expreesion, left_input=-4272, right_input=8584, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=5376","layer":4},{"info":"number node, value=2250","layer":4},{"info":"compute binary expreesion, left_input=5376, right_input=2250, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6750","layer":3},{"info":"number node, value=1661","layer":4},{"info":"compute unary expreesion, input=1661, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4983","layer":3},{"info":"compute binary expreesion, left_input=-6750, right_input=-4983, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((≤/∃⊬FD8)⊉≛↸(∃⊬839⇼⇔∾∃⊬1599))⨳⩥⨓(+⊝⨔∃⊬A94)⪮%⊝(∃⊬15ED⫥∨⫟∃⊬CAA)/(⊄⩳↩∃⊬590)⊴(∃⊬1102⪘⫢∃⊬133D)⩨(∃⊬1500↙∃⊬8CA)⨐⩸⫘(⋗⩬⋾∃⊬67D)=NaN","reverse_text":"NaN=((≤/∃⊬FD8)⊉≛↸(∃⊬839⇼⇔∾∃⊬1599))⨳⩥⨓(+⊝⨔∃⊬A94)⪮%⊝(∃⊬15ED⫥∨⫟∃⊬CAA)/(⊄⩳↩∃⊬590)⊴(∃⊬1102⪘⫢∃⊬133D)⩨(∃⊬1500↙∃⊬8CA)⨐⩸⫘(⋗⩬⋾∃⊬67D)","cot":[{"info":"≤/∃⊬FD8=∃⊬-DF4","layer":3},{"info":"∃⊬839⇼⇔∾∃⊬1599=∃⊬D60","layer":3},{"info":"∃⊬-DF4⊉≛↸∃⊬D60=∃⊬-D60","layer":2},{"info":"+⊝⨔∃⊬A94=∃⊬5F2","layer":3},{"info":"∃⊬15ED⫥∨⫟∃⊬CAA=NaN","layer":3},{"info":"∃⊬5F2⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬-D60⨳⩥⨓NaN=NaN","layer":1},{"info":"⊄⩳↩∃⊬590=∃⊬-10B0","layer":3},{"info":"∃⊬1102⪘⫢∃⊬133D=∃⊬2188","layer":3},{"info":"∃⊬-10B0⊴∃⊬2188=NaN","layer":2},{"info":"∃⊬1500↙∃⊬8CA=∃⊬-1A5E","layer":3},{"info":"⋗⩬⋾∃⊬67D=∃⊬-1377","layer":3},{"info":"∃⊬-1A5E⨐⩸⫘∃⊬-1377=NaN","layer":2},{"info":"NaN⩨NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":568,"expression_no_base_symbol":"(($1208$⩚⊴⇥$1448$)⋓($3038$⨰$5453$))⪛((↣≠⋷$2359$)⫩⊇)≧⫂∧(($1624$⇼⇔∾$6043$)↬($4405$⊭↱$6794$)⨎($2831$⨎$6594$⨐⩸⫘(↥$2255$)))","expression":"((∃⊬4B8⩚⊴⇥∃⊬5A8)⋓(∃⊬BDE⨰∃⊬154D))⪛((↣≠⋷∃⊬937)⫩⊇)≧⫂∧((∃⊬658⇼⇔∾∃⊬179B)↬(∃⊬1135⊭↱∃⊬1A8A)⨎(∃⊬B0F⨎∃⊬19C2⨐⩸⫘(↥∃⊬8CF)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":274,"operation_count":14,"complexity_ratio":19.571428571428573,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1208,"base":16},"right_expr":{"type":"numeric_atoms","value":1448,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3038,"base":16},"right_expr":{"type":"numeric_atoms","value":5453,"base":16}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2359,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1624,"base":16},"right_expr":{"type":"numeric_atoms","value":6043,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4405,"base":16},"right_expr":{"type":"numeric_atoms","value":6794,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2831,"base":16},"right_expr":{"type":"numeric_atoms","value":6594,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2255,"base":16}}}}},"used_operators":["Ph9nP6C5qx","uFcxV4UQCh","T2fj7uvVaJ","NTOWxs364D","eewbuw0ToL","BjRHVeLaeN","Asc51vEJeQ","rJVOvQCfKK","B5M0gjZbta","tifHPKVTfV","COABgblf1C","fu6greOZ01","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","k8jYdgA6NY"],"result":"∃⊬-1E7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1208","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=1208, right_input=1448, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2777","layer":3},{"info":"number node, value=3038","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=3038, right_input=5453, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2405","layer":3},{"info":"compute binary expreesion, left_input=-2777, right_input=-2405, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2359","layer":4},{"info":"compute unary expreesion, input=2359, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1624","layer":4},{"info":"number node, value=6043","layer":4},{"info":"compute binary expreesion, left_input=1624, right_input=6043, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4419","layer":3},{"info":"number node, value=4405","layer":4},{"info":"number node, value=6794","layer":4},{"info":"compute binary expreesion, left_input=4405, right_input=6794, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4783","layer":3},{"info":"compute binary expreesion, left_input=4419, right_input=4783, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2831","layer":4},{"info":"number node, value=6594","layer":4},{"info":"compute binary expreesion, left_input=2831, right_input=6594, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=6594","layer":3},{"info":"number node, value=2255","layer":4},{"info":"compute unary expreesion, input=2255, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute binary expreesion, left_input=6594, right_input=11, 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=-14","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-14","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-487","layer":0}],"base":16,"result_base":16,"text":"((∃⊬4B8⩚⊴⇥∃⊬5A8)⋓(∃⊬BDE⨰∃⊬154D))⪛((↣≠⋷∃⊬937)⫩⊇)≧⫂∧((∃⊬658⇼⇔∾∃⊬179B)↬(∃⊬1135⊭↱∃⊬1A8A)⨎(∃⊬B0F⨎∃⊬19C2⨐⩸⫘(↥∃⊬8CF)))=∃⊬-1E7","reverse_text":"∃⊬-1E7=((∃⊬4B8⩚⊴⇥∃⊬5A8)⋓(∃⊬BDE⨰∃⊬154D))⪛((↣≠⋷∃⊬937)⫩⊇)≧⫂∧((∃⊬658⇼⇔∾∃⊬179B)↬(∃⊬1135⊭↱∃⊬1A8A)⨎(∃⊬B0F⨎∃⊬19C2⨐⩸⫘(↥∃⊬8CF)))","cot":[{"info":"∃⊬4B8⩚⊴⇥∃⊬5A8=∃⊬-AD9","layer":3},{"info":"∃⊬BDE⨰∃⊬154D=∃⊬-965","layer":3},{"info":"∃⊬-AD9⋓∃⊬-965=∃⊬0","layer":2},{"info":"↣≠⋷∃⊬937=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"∃⊬0⪛NaN=NaN","layer":1},{"info":"∃⊬658⇼⇔∾∃⊬179B=∃⊬1143","layer":3},{"info":"∃⊬1135⊭↱∃⊬1A8A=∃⊬12AF","layer":3},{"info":"∃⊬1143↬∃⊬12AF=NaN","layer":2},{"info":"∃⊬B0F⨎∃⊬19C2=∃⊬19C2","layer":3},{"info":"↥∃⊬8CF=∃⊬B","layer":3},{"info":"∃⊬19C2⨐⩸⫘∃⊬B=∃⊬-E","layer":2},{"info":"NaN⨎∃⊬-E=∃⊬-E","layer":1},{"info":"NaN≧⫂∧∃⊬-E=∃⊬-1E7","layer":0}]}
{"id":569,"expression_no_base_symbol":"↯⪼(($5270$⋥≓≎$1795$)≎⊠⪸(⇁⨣⪵$1690$)+(⨰⫟⨤$3204$)⋳⪒$1760$≭$2235$)","expression":"↯⪼((∃⊬1496⋥≓≎∃⊬703)≎⊠⪸(⇁⨣⪵∃⊬69A)+(⨰⫟⨤∃⊬C84)⋳⪒∃⊬6E0≭∃⊬8BB)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12032,"operation_count":8,"complexity_ratio":1504.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5270,"base":16},"right_expr":{"type":"numeric_atoms","value":1795,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1690,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3204,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1760,"base":16},"right_expr":{"type":"numeric_atoms","value":2235,"base":16}}}}},"used_operators":["8jW3W4yZS5","W4YGzv6Whe","bJkvcejdHO","Qy55tPpLXF","inkyxCbjAn","12rbrZMWeM","Tw270M8GLb","rxpJgHHUmx"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","AHs5Up7iyr"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5270","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=5270, right_input=1795, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1647","layer":3},{"info":"number node, value=1690","layer":4},{"info":"compute unary expreesion, input=1690, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1647, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=3204","layer":4},{"info":"compute unary expreesion, input=3204, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1760","layer":4},{"info":"number node, value=2235","layer":4},{"info":"compute binary expreesion, left_input=1760, right_input=2235, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', 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":"↯⪼((∃⊬1496⋥≓≎∃⊬703)≎⊠⪸(⇁⨣⪵∃⊬69A)+(⨰⫟⨤∃⊬C84)⋳⪒∃⊬6E0≭∃⊬8BB)=∃⊬-15","reverse_text":"∃⊬-15=↯⪼((∃⊬1496⋥≓≎∃⊬703)≎⊠⪸(⇁⨣⪵∃⊬69A)+(⨰⫟⨤∃⊬C84)⋳⪒∃⊬6E0≭∃⊬8BB)","cot":[{"info":"∃⊬1496⋥≓≎∃⊬703=∃⊬-66F","layer":3},{"info":"⇁⨣⪵∃⊬69A=NaN","layer":3},{"info":"∃⊬-66F≎⊠⪸NaN=∃⊬43","layer":2},{"info":"⨰⫟⨤∃⊬C84=NaN","layer":3},{"info":"∃⊬6E0≭∃⊬8BB=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"∃⊬43+NaN=NaN","layer":1},{"info":"↯⪼NaN=∃⊬-15","layer":0}]}
{"id":570,"expression_no_base_symbol":"(($1513$≣⋋)↺($4495$*$2277$))⋝⋈⪟(⨰⫟⨤(∂$6387$))-($3856$⨓$6632$≣⋋)⨓($4999$+$1142$)⇷($2282$⫩⊇)","expression":"((∃⊬5E9≣⋋)↺(∃⊬118F*∃⊬8E5))⋝⋈⪟(⨰⫟⨤(∂∃⊬18F3))-(∃⊬F10⨓∃⊬19E8≣⋋)⨓(∃⊬1387+∃⊬476)⇷(∃⊬8EA⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":95971,"operation_count":13,"complexity_ratio":7382.384615384615,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1513,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4495,"base":16},"right_expr":{"type":"numeric_atoms","value":2277,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":6387,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3856,"base":16},"right_expr":{"type":"numeric_atoms","value":6632,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4999,"base":16},"right_expr":{"type":"numeric_atoms","value":1142,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2282,"base":16}}}}},"used_operators":["rysDP5nf3Z","2DDjHMKMc0","7j4O788W3g","Tcnh7f0tEr","9HNa5Wba9A","Tw270M8GLb","Uaa54Peajs","3ViojmjbAp","mp7IySMOzn","W4YGzv6Whe","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1513","layer":4},{"info":"compute unary expreesion, input=1513, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=4495","layer":4},{"info":"number node, value=2277","layer":4},{"info":"compute binary expreesion, left_input=4495, right_input=2277, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10235115","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10235115, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=10235115","layer":2},{"info":"number node, value=6387","layer":4},{"info":"compute unary expreesion, input=6387, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10235115, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3856","layer":4},{"info":"number node, value=6632","layer":4},{"info":"compute binary expreesion, left_input=3856, right_input=6632, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6635","layer":3},{"info":"compute unary expreesion, input=-6635, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"number node, value=4999","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=4999, right_input=1142, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6141","layer":3},{"info":"number node, value=2282","layer":4},{"info":"compute unary expreesion, input=2282, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2240","layer":3},{"info":"compute binary expreesion, left_input=6141, right_input=-2240, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"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":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":"((∃⊬5E9≣⋋)↺(∃⊬118F*∃⊬8E5))⋝⋈⪟(⨰⫟⨤(∂∃⊬18F3))-(∃⊬F10⨓∃⊬19E8≣⋋)⨓(∃⊬1387+∃⊬476)⇷(∃⊬8EA⫩⊇)=NaN","reverse_text":"NaN=((∃⊬5E9≣⋋)↺(∃⊬118F*∃⊬8E5))⋝⋈⪟(⨰⫟⨤(∂∃⊬18F3))-(∃⊬F10⨓∃⊬19E8≣⋋)⨓(∃⊬1387+∃⊬476)⇷(∃⊬8EA⫩⊇)","cot":[{"info":"∃⊬5E9≣⋋=∃⊬0","layer":3},{"info":"∃⊬118F*∃⊬8E5=∃⊬9C2CEB","layer":3},{"info":"∃⊬0↺∃⊬9C2CEB=∃⊬9C2CEB","layer":2},{"info":"∂∃⊬18F3=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"∃⊬9C2CEB⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬F10⨓∃⊬19E8=∃⊬-19EB","layer":3},{"info":"∃⊬-19EB≣⋋=∃⊬0","layer":2},{"info":"∃⊬1387+∃⊬476=∃⊬17FD","layer":3},{"info":"∃⊬8EA⫩⊇=∃⊬-8C0","layer":3},{"info":"∃⊬17FD⇷∃⊬-8C0=NaN","layer":2},{"info":"∃⊬0⨓NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}
{"id":571,"expression_no_base_symbol":"⨈⫕(($5285$⨸⪁$2896$)⪢($2907$⊭∹↮)⊉≛↸$2145$↬$8038$⫸⊐(∂$1912$))","expression":"⨈⫕((∃⊬14A5⨸⪁∃⊬B50)⪢(∃⊬B5B⊭∹↮)⊉≛↸∃⊬861↬∃⊬1F66⫸⊐(∂∃⊬778))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":6412,"operation_count":8,"complexity_ratio":801.5,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5285,"base":16},"right_expr":{"type":"numeric_atoms","value":2896,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2907,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2145,"base":16},"right_expr":{"type":"numeric_atoms","value":8038,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1912,"base":16}}}}},"used_operators":["megm06wKyl","DZ8iAZOCBD","dWAJyo7jo9","g55IO6H4Gj","xNBdhnnwKq","mqXw5SEYmG","B5M0gjZbta","Uaa54Peajs"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5285","layer":4},{"info":"number node, value=2896","layer":4},{"info":"compute binary expreesion, left_input=5285, right_input=2896, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=16362","layer":3},{"info":"number node, value=2907","layer":4},{"info":"compute unary expreesion, input=2907, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5814","layer":3},{"info":"compute binary expreesion, left_input=16362, right_input=5814, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2145","layer":4},{"info":"number node, value=8038","layer":4},{"info":"compute binary expreesion, left_input=2145, right_input=8038, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1912","layer":4},{"info":"compute unary expreesion, input=1912, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute 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":"⨈⫕((∃⊬14A5⨸⪁∃⊬B50)⪢(∃⊬B5B⊭∹↮)⊉≛↸∃⊬861↬∃⊬1F66⫸⊐(∂∃⊬778))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕((∃⊬14A5⨸⪁∃⊬B50)⪢(∃⊬B5B⊭∹↮)⊉≛↸∃⊬861↬∃⊬1F66⫸⊐(∂∃⊬778))","cot":[{"info":"∃⊬14A5⨸⪁∃⊬B50=∃⊬3FEA","layer":3},{"info":"∃⊬B5B⊭∹↮=∃⊬16B6","layer":3},{"info":"∃⊬3FEA⪢∃⊬16B6=NaN","layer":2},{"info":"∃⊬861↬∃⊬1F66=NaN","layer":3},{"info":"∂∃⊬778=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":572,"expression_no_base_symbol":"(((↥$1745$)≦≮≮)⨪↰⇹(($1243$⫌⩹⨱)⩨$4017$⋓$1392$))≹⇙⪍(($3261$⪢$5671$)⪮%⊝(↣≠⋷$1526$)⇼⇔∾$5916$∼$1739$⩚⊴⇥($1422$⊭∹↮))","expression":"(((↥∃⊬6D1)≦≮≮)⨪↰⇹((∃⊬4DB⫌⩹⨱)⩨∃⊬FB1⋓∃⊬570))≹⇙⪍((∃⊬CBD⪢∃⊬1627)⪮%⊝(↣≠⋷∃⊬5F6)⇼⇔∾∃⊬171C∼∃⊬6CB⩚⊴⇥(∃⊬58E⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":5907,"operation_count":14,"complexity_ratio":421.92857142857144,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1745,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1243,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4017,"base":16},"right_expr":{"type":"numeric_atoms","value":1392,"base":16}}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3261,"base":16},"right_expr":{"type":"numeric_atoms","value":5671,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1526,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5916,"base":16},"right_expr":{"type":"numeric_atoms","value":1739,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1422,"base":16}}}}},"used_operators":["AHs5Up7iyr","tmPS8pqC7x","D4vGDi5EA2","A8NUZmVepG","2DlMacCsIx","EBcxylXtPf","T2fj7uvVaJ","tifHPKVTfV","IWmyXbctLI","dWAJyo7jo9","Asc51vEJeQ","NTOWxs364D","DyGG3AbaNP","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1745","layer":4},{"info":"compute unary expreesion, input=1745, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=11","layer":3},{"info":"compute unary expreesion, input=11, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-33","layer":2},{"info":"number node, value=1243","layer":4},{"info":"compute unary expreesion, input=1243, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3887","layer":3},{"info":"number node, value=4017","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=4017, right_input=1392, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3887, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-33, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=33","layer":1},{"info":"number node, value=3261","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=3261, right_input=5671, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=5916","layer":4},{"info":"number node, value=1739","layer":4},{"info":"compute binary expreesion, left_input=5916, right_input=1739, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2844","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2844, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=33, 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":"(((↥∃⊬6D1)≦≮≮)⨪↰⇹((∃⊬4DB⫌⩹⨱)⩨∃⊬FB1⋓∃⊬570))≹⇙⪍((∃⊬CBD⪢∃⊬1627)⪮%⊝(↣≠⋷∃⊬5F6)⇼⇔∾∃⊬171C∼∃⊬6CB⩚⊴⇥(∃⊬58E⊭∹↮))=NaN","reverse_text":"NaN=(((↥∃⊬6D1)≦≮≮)⨪↰⇹((∃⊬4DB⫌⩹⨱)⩨∃⊬FB1⋓∃⊬570))≹⇙⪍((∃⊬CBD⪢∃⊬1627)⪮%⊝(↣≠⋷∃⊬5F6)⇼⇔∾∃⊬171C∼∃⊬6CB⩚⊴⇥(∃⊬58E⊭∹↮))","cot":[{"info":"↥∃⊬6D1=∃⊬B","layer":3},{"info":"∃⊬B≦≮≮=∃⊬-21","layer":2},{"info":"∃⊬4DB⫌⩹⨱=∃⊬F2F","layer":3},{"info":"∃⊬FB1⋓∃⊬570=∃⊬0","layer":3},{"info":"∃⊬F2F⩨∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-21⨪↰⇹∃⊬0=∃⊬21","layer":1},{"info":"∃⊬CBD⪢∃⊬1627=NaN","layer":3},{"info":"↣≠⋷∃⊬5F6=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬171C∼∃⊬6CB=NaN","layer":3},{"info":"∃⊬58E⊭∹↮=∃⊬B1C","layer":3},{"info":"NaN⩚⊴⇥∃⊬B1C=NaN","layer":2},{"info":"NaN⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬21≹⇙⪍NaN=NaN","layer":0}]}
{"id":573,"expression_no_base_symbol":"(($1944$⫸⊐$3517$)↙(-$2787$))⨎(($5836$⋳⪒$1695$)⋫)*($5315$+⇶⊼$4960$+⇶⊼$1020$⪘⫢$3045$∲⫓($2456$⇷$2079$⪨≂$1684$∀⇚≩$1781$))","expression":"((∃⊬798⫸⊐∃⊬DBD)↙(-∃⊬AE3))⨎((∃⊬16CC⋳⪒∃⊬69F)⋫)*(∃⊬14C3+⇶⊼∃⊬1360+⇶⊼∃⊬3FC⪘⫢∃⊬BE5∲⫓(∃⊬998⇷∃⊬81F⪨≂∃⊬694∀⇚≩∃⊬6F5))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":58716,"operation_count":14,"complexity_ratio":4194.0,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1944,"base":16},"right_expr":{"type":"numeric_atoms","value":3517,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2787,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5836,"base":16},"right_expr":{"type":"numeric_atoms","value":1695,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":5315,"base":16},"right_expr":{"type":"numeric_atoms","value":4960,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1020,"base":16},"right_expr":{"type":"numeric_atoms","value":3045,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2456,"base":16},"right_expr":{"type":"numeric_atoms","value":2079,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1684,"base":16},"right_expr":{"type":"numeric_atoms","value":1781,"base":16}}}}},"used_operators":["9HNa5Wba9A","rJVOvQCfKK","yyfyN0ffXY","mqXw5SEYmG","t8gj7n24qd","JL8yIekQnl","12rbrZMWeM","i8ToyICDmI","TpPTUOHfaN","oacrs7FA3X","sdazOOVcIp","mp7IySMOzn","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1944","layer":4},{"info":"number node, value=3517","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=3517, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13943","layer":3},{"info":"number node, value=2787","layer":4},{"info":"compute unary expreesion, input=2787, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2787","layer":3},{"info":"compute binary expreesion, left_input=13943, right_input=-2787, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-8361","layer":2},{"info":"number node, value=5836","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=5836, right_input=1695, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9690","layer":3},{"info":"compute unary expreesion, input=9690, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=9690","layer":2},{"info":"compute binary expreesion, left_input=-8361, right_input=9690, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=9690","layer":1},{"info":"number node, value=5315","layer":4},{"info":"number node, value=4960","layer":4},{"info":"compute binary expreesion, left_input=5315, right_input=4960, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1020","layer":4},{"info":"number node, value=3045","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=3045, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1916","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1916, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2456","layer":4},{"info":"number node, value=2079","layer":4},{"info":"compute binary expreesion, left_input=2456, right_input=2079, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4158","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1781","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1781, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4158, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=9690, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬798⫸⊐∃⊬DBD)↙(-∃⊬AE3))⨎((∃⊬16CC⋳⪒∃⊬69F)⋫)*(∃⊬14C3+⇶⊼∃⊬1360+⇶⊼∃⊬3FC⪘⫢∃⊬BE5∲⫓(∃⊬998⇷∃⊬81F⪨≂∃⊬694∀⇚≩∃⊬6F5))=NaN","reverse_text":"NaN=((∃⊬798⫸⊐∃⊬DBD)↙(-∃⊬AE3))⨎((∃⊬16CC⋳⪒∃⊬69F)⋫)*(∃⊬14C3+⇶⊼∃⊬1360+⇶⊼∃⊬3FC⪘⫢∃⊬BE5∲⫓(∃⊬998⇷∃⊬81F⪨≂∃⊬694∀⇚≩∃⊬6F5))","cot":[{"info":"∃⊬798⫸⊐∃⊬DBD=∃⊬3677","layer":3},{"info":"-∃⊬AE3=∃⊬-AE3","layer":3},{"info":"∃⊬3677↙∃⊬-AE3=∃⊬-20A9","layer":2},{"info":"∃⊬16CC⋳⪒∃⊬69F=∃⊬25DA","layer":3},{"info":"∃⊬25DA⋫=∃⊬25DA","layer":2},{"info":"∃⊬-20A9⨎∃⊬25DA=∃⊬25DA","layer":1},{"info":"∃⊬14C3+⇶⊼∃⊬1360=NaN","layer":3},{"info":"∃⊬3FC⪘⫢∃⊬BE5=∃⊬77C","layer":3},{"info":"NaN+⇶⊼∃⊬77C=NaN","layer":2},{"info":"∃⊬998⇷∃⊬81F=∃⊬103E","layer":3},{"info":"∃⊬694∀⇚≩∃⊬6F5=NaN","layer":3},{"info":"∃⊬103E⪨≂NaN=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"∃⊬25DA*NaN=NaN","layer":0}]}
{"id":574,"expression_no_base_symbol":"(($4647$⋥≓≎$3811$)∀⇚≩(↯⪼$4757$)⨳⩥⨓($3704$⩠)≎⊠⪸(≉$1739$))⊦⊿","expression":"((∃⊬1227⋥≓≎∃⊬EE3)∀⇚≩(↯⪼∃⊬1295)⨳⩥⨓(∃⊬E78⩠)≎⊠⪸(≉∃⊬6CB))⊦⊿","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":21132,"operation_count":8,"complexity_ratio":2641.5,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4647,"base":16},"right_expr":{"type":"numeric_atoms","value":3811,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4757,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":3704,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1739,"base":16}}}}},"used_operators":["14qkJME0vr","nCS4ZIUYfx","LRNGc0VcxI","Qy55tPpLXF","8jW3W4yZS5","bJkvcejdHO","sJAwomhLZr","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4647","layer":4},{"info":"number node, value=3811","layer":4},{"info":"compute binary expreesion, left_input=4647, right_input=3811, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3008","layer":3},{"info":"number node, value=4757","layer":4},{"info":"compute unary expreesion, input=4757, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=3008, right_input=-21, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3704","layer":4},{"info":"compute unary expreesion, input=3704, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2270","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2270, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-473, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+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":"((∃⊬1227⋥≓≎∃⊬EE3)∀⇚≩(↯⪼∃⊬1295)⨳⩥⨓(∃⊬E78⩠)≎⊠⪸(≉∃⊬6CB))⊦⊿=NaN","reverse_text":"NaN=((∃⊬1227⋥≓≎∃⊬EE3)∀⇚≩(↯⪼∃⊬1295)⨳⩥⨓(∃⊬E78⩠)≎⊠⪸(≉∃⊬6CB))⊦⊿","cot":[{"info":"∃⊬1227⋥≓≎∃⊬EE3=∃⊬BC0","layer":3},{"info":"↯⪼∃⊬1295=∃⊬-15","layer":3},{"info":"∃⊬BC0∀⇚≩∃⊬-15=NaN","layer":2},{"info":"∃⊬E78⩠=∃⊬0","layer":3},{"info":"≉∃⊬6CB=∃⊬8DE","layer":3},{"info":"∃⊬0≎⊠⪸∃⊬8DE=∃⊬-1D9","layer":2},{"info":"NaN⨳⩥⨓∃⊬-1D9=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":575,"expression_no_base_symbol":"(($8522$⨪↰⇹$2527$⋷$1534$∀⇚≩$2522$)∧)⨪↰⇹((-(⨰⫟⨤$2164$))⨎(($3897$⨵⪆$2281$)⋫))","expression":"((∃⊬214A⨪↰⇹∃⊬9DF⋷∃⊬5FE∀⇚≩∃⊬9DA)∧)⨪↰⇹((-(⨰⫟⨤∃⊬874))⨎((∃⊬F39⨵⪆∃⊬8E9)⋫))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":27251,"operation_count":10,"complexity_ratio":2725.1,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":8522,"base":16},"right_expr":{"type":"numeric_atoms","value":2527,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1534,"base":16},"right_expr":{"type":"numeric_atoms","value":2522,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2164,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3897,"base":16},"right_expr":{"type":"numeric_atoms","value":2281,"base":16}}}}},"used_operators":["tmPS8pqC7x","z63VuFQld9","23Mk6UjR3U","LRNGc0VcxI","rJVOvQCfKK","t8gj7n24qd","Tw270M8GLb","JL8yIekQnl","2DQ55sFlQl"],"dependent_operators":["rJVOvQCfKK","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=8522","layer":4},{"info":"number node, value=2527","layer":4},{"info":"compute binary expreesion, left_input=8522, right_input=2527, 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=8522","layer":3},{"info":"number node, value=1534","layer":4},{"info":"number node, value=2522","layer":4},{"info":"compute binary expreesion, left_input=1534, right_input=2522, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8522, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=3897","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=3897, right_input=2281, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬214A⨪↰⇹∃⊬9DF⋷∃⊬5FE∀⇚≩∃⊬9DA)∧)⨪↰⇹((-(⨰⫟⨤∃⊬874))⨎((∃⊬F39⨵⪆∃⊬8E9)⋫))=NaN","reverse_text":"NaN=((∃⊬214A⨪↰⇹∃⊬9DF⋷∃⊬5FE∀⇚≩∃⊬9DA)∧)⨪↰⇹((-(⨰⫟⨤∃⊬874))⨎((∃⊬F39⨵⪆∃⊬8E9)⋫))","cot":[{"info":"∃⊬214A⨪↰⇹∃⊬9DF=∃⊬214A","layer":3},{"info":"∃⊬5FE∀⇚≩∃⊬9DA=NaN","layer":3},{"info":"∃⊬214A⋷NaN=NaN","layer":2},{"info":"NaN∧=NaN","layer":1},{"info":"⨰⫟⨤∃⊬874=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∃⊬F39⨵⪆∃⊬8E9=∃⊬A0","layer":3},{"info":"∃⊬A0⋫=∃⊬A0","layer":2},{"info":"NaN⨎∃⊬A0=∃⊬A0","layer":1},{"info":"NaN⨪↰⇹∃⊬A0=NaN","layer":0}]}
{"id":576,"expression_no_base_symbol":"((⊥(↽≂$8075$))↙($2791$↺$2701$)≭(⋗⩬⋾$1901$))⪮%⊝(($4050$⋷$1284$⨵⪆$5656$⋥≓≎$7610$)⨸⪁(⫛⫱⨽($1101$↙$6006$)))","expression":"((⊥(↽≂∃⊬1F8B))↙(∃⊬AE7↺∃⊬A8D)≭(⋗⩬⋾∃⊬76D))⪮%⊝((∃⊬FD2⋷∃⊬504⨵⪆∃⊬1618⋥≓≎∃⊬1DBA)⨸⪁(⫛⫱⨽(∃⊬44D↙∃⊬1776)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7462,"operation_count":13,"complexity_ratio":574.0,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8075,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2791,"base":16},"right_expr":{"type":"numeric_atoms","value":2701,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1901,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4050,"base":16},"right_expr":{"type":"numeric_atoms","value":1284,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5656,"base":16},"right_expr":{"type":"numeric_atoms","value":7610,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1101,"base":16},"right_expr":{"type":"numeric_atoms","value":6006,"base":16}}}}},"used_operators":["IWmyXbctLI","yyfyN0ffXY","Q3PJZHRvZv","u6S6b8DprG","rxpJgHHUmx","7j4O788W3g","DpFCA1CohY","g55IO6H4Gj","2DQ55sFlQl","23Mk6UjR3U","Qy55tPpLXF","DlLNRPXxWL"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8075","layer":4},{"info":"compute unary expreesion, input=8075, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16150","layer":3},{"info":"compute unary expreesion, input=-16150, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=2791","layer":4},{"info":"number node, value=2701","layer":4},{"info":"compute binary expreesion, left_input=2791, right_input=2701, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2701","layer":3},{"info":"number node, value=1901","layer":4},{"info":"compute unary expreesion, input=1901, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5703","layer":3},{"info":"compute binary expreesion, left_input=2701, right_input=-5703, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=4050","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=4050, right_input=1284, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1482","layer":3},{"info":"number node, value=5656","layer":4},{"info":"number node, value=7610","layer":4},{"info":"compute binary expreesion, left_input=5656, right_input=7610, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=9597","layer":3},{"info":"compute binary expreesion, left_input=-1482, right_input=9597, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1101","layer":4},{"info":"number node, value=6006","layer":4},{"info":"compute binary expreesion, left_input=1101, right_input=6006, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18018","layer":3},{"info":"compute unary expreesion, input=-18018, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=320, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊥(↽≂∃⊬1F8B))↙(∃⊬AE7↺∃⊬A8D)≭(⋗⩬⋾∃⊬76D))⪮%⊝((∃⊬FD2⋷∃⊬504⨵⪆∃⊬1618⋥≓≎∃⊬1DBA)⨸⪁(⫛⫱⨽(∃⊬44D↙∃⊬1776)))=NaN","reverse_text":"NaN=((⊥(↽≂∃⊬1F8B))↙(∃⊬AE7↺∃⊬A8D)≭(⋗⩬⋾∃⊬76D))⪮%⊝((∃⊬FD2⋷∃⊬504⨵⪆∃⊬1618⋥≓≎∃⊬1DBA)⨸⪁(⫛⫱⨽(∃⊬44D↙∃⊬1776)))","cot":[{"info":"↽≂∃⊬1F8B=∃⊬-3F16","layer":3},{"info":"⊥∃⊬-3F16=NaN","layer":2},{"info":"∃⊬AE7↺∃⊬A8D=∃⊬A8D","layer":3},{"info":"⋗⩬⋾∃⊬76D=∃⊬-1647","layer":3},{"info":"∃⊬A8D≭∃⊬-1647=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"∃⊬FD2⋷∃⊬504=∃⊬-5CA","layer":3},{"info":"∃⊬1618⋥≓≎∃⊬1DBA=∃⊬257D","layer":3},{"info":"∃⊬-5CA⨵⪆∃⊬257D=∃⊬A0","layer":2},{"info":"∃⊬44D↙∃⊬1776=∃⊬-4662","layer":3},{"info":"⫛⫱⨽∃⊬-4662=∃⊬0","layer":2},{"info":"∃⊬A0⨸⪁∃⊬0=∃⊬140","layer":1},{"info":"NaN⪮%⊝∃⊬140=NaN","layer":0}]}
{"id":577,"expression_no_base_symbol":"(($7278$∸)⊴($6388$⋥≓≎$1316$)/(⪝⪂⫅(∂$4230$)))⨳⩥⨓((⨈⫕($4283$⊭↱$6637$))≫≃)","expression":"((∃⊬1C6E∸)⊴(∃⊬18F4⋥≓≎∃⊬524)/(⪝⪂⫅(∂∃⊬1086)))⨳⩥⨓((⨈⫕(∃⊬10BB⊭↱∃⊬19ED))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4318,"operation_count":10,"complexity_ratio":431.8,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":7278,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6388,"base":16},"right_expr":{"type":"numeric_atoms","value":1316,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4230,"base":16}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4283,"base":16},"right_expr":{"type":"numeric_atoms","value":6637,"base":16}}}}},"used_operators":["nCS4ZIUYfx","XhwjNDsVaA","Nsiff2A1zJ","o20kRiQErp","Qy55tPpLXF","XTarYq4gQB","Uaa54Peajs","X99M06cbEe","megm06wKyl","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","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=7278","layer":4},{"info":"compute unary expreesion, input=7278, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=6388","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=6388, right_input=1316, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-3723","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-3723, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4230","layer":4},{"info":"compute unary expreesion, input=4230, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4283","layer":4},{"info":"number node, value=6637","layer":4},{"info":"compute binary expreesion, left_input=4283, right_input=6637, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=4713","layer":3},{"info":"compute unary expreesion, input=4713, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1359","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1359, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1C6E∸)⊴(∃⊬18F4⋥≓≎∃⊬524)/(⪝⪂⫅(∂∃⊬1086)))⨳⩥⨓((⨈⫕(∃⊬10BB⊭↱∃⊬19ED))≫≃)=NaN","reverse_text":"NaN=((∃⊬1C6E∸)⊴(∃⊬18F4⋥≓≎∃⊬524)/(⪝⪂⫅(∂∃⊬1086)))⨳⩥⨓((⨈⫕(∃⊬10BB⊭↱∃⊬19ED))≫≃)","cot":[{"info":"∃⊬1C6E∸=∃⊬B1","layer":3},{"info":"∃⊬18F4⋥≓≎∃⊬524=∃⊬-E8B","layer":3},{"info":"∃⊬B1⊴∃⊬-E8B=NaN","layer":2},{"info":"∂∃⊬1086=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"∃⊬10BB⊭↱∃⊬19ED=∃⊬1269","layer":3},{"info":"⨈⫕∃⊬1269=∃⊬-15","layer":2},{"info":"∃⊬-15≫≃=∃⊬54F","layer":1},{"info":"NaN⨳⩥⨓∃⊬54F=NaN","layer":0}]}
{"id":578,"expression_no_base_symbol":"(↣≠⋷(⫛⫱⨽$1682$))⫸⊐$2582$≎⊠⪸$1208$↙$1262$⪘⫢$3860$⫡⨏($1970$*$6384$∲⫓(∂$2719$))⊭↱($4852$≦≮≮)⨽($2224$⪨≂$2072$)","expression":"(↣≠⋷(⫛⫱⨽∃⊬692))⫸⊐∃⊬A16≎⊠⪸∃⊬4B8↙∃⊬4EE⪘⫢∃⊬F14⫡⨏(∃⊬7B2*∃⊬18F0∲⫓(∂∃⊬A9F))⊭↱(∃⊬12F4≦≮≮)⨽(∃⊬8B0⪨≂∃⊬818)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":20676,"operation_count":14,"complexity_ratio":1476.857142857143,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1682,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2582,"base":16},"right_expr":{"type":"numeric_atoms","value":1208,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1262,"base":16},"right_expr":{"type":"numeric_atoms","value":3860,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1970,"base":16},"right_expr":{"type":"numeric_atoms","value":6384,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":2719,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":4852,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2224,"base":16},"right_expr":{"type":"numeric_atoms","value":2072,"base":16}}}}},"used_operators":["QMFrweE19q","mqXw5SEYmG","Asc51vEJeQ","DlLNRPXxWL","yyfyN0ffXY","bJkvcejdHO","oacrs7FA3X","COABgblf1C","i8ToyICDmI","9HNa5Wba9A","Uaa54Peajs","8HhzD0ZcuI","D4vGDi5EA2","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1682","layer":4},{"info":"compute unary expreesion, input=1682, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2582","layer":4},{"info":"number node, value=1208","layer":4},{"info":"compute binary expreesion, left_input=2582, right_input=1208, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=668265","layer":3},{"info":"number node, value=1262","layer":4},{"info":"number node, value=3860","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=3860, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2400","layer":3},{"info":"compute binary expreesion, left_input=668265, right_input=2400, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7200","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7200, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=1970","layer":4},{"info":"number node, value=6384","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=6384, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12576480","layer":3},{"info":"number node, value=2719","layer":4},{"info":"compute unary expreesion, input=2719, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=12576480, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=4852","layer":4},{"info":"compute unary expreesion, input=4852, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14556","layer":3},{"info":"number node, value=2224","layer":4},{"info":"number node, value=2072","layer":4},{"info":"compute binary expreesion, left_input=2224, right_input=2072, 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=406","layer":3},{"info":"compute binary expreesion, left_input=-14556, right_input=406, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-635631312","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-635631312, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷(⫛⫱⨽∃⊬692))⫸⊐∃⊬A16≎⊠⪸∃⊬4B8↙∃⊬4EE⪘⫢∃⊬F14⫡⨏(∃⊬7B2*∃⊬18F0∲⫓(∂∃⊬A9F))⊭↱(∃⊬12F4≦≮≮)⨽(∃⊬8B0⪨≂∃⊬818)=NaN","reverse_text":"NaN=(↣≠⋷(⫛⫱⨽∃⊬692))⫸⊐∃⊬A16≎⊠⪸∃⊬4B8↙∃⊬4EE⪘⫢∃⊬F14⫡⨏(∃⊬7B2*∃⊬18F0∲⫓(∂∃⊬A9F))⊭↱(∃⊬12F4≦≮≮)⨽(∃⊬8B0⪨≂∃⊬818)","cot":[{"info":"⫛⫱⨽∃⊬692=∃⊬0","layer":3},{"info":"↣≠⋷∃⊬0=NaN","layer":2},{"info":"∃⊬A16≎⊠⪸∃⊬4B8=∃⊬A3269","layer":3},{"info":"∃⊬4EE⪘⫢∃⊬F14=∃⊬960","layer":3},{"info":"∃⊬A3269↙∃⊬960=∃⊬-1C20","layer":2},{"info":"NaN⫸⊐∃⊬-1C20=NaN","layer":1},{"info":"∃⊬7B2*∃⊬18F0=∃⊬BFE6E0","layer":3},{"info":"∂∃⊬A9F=NaN","layer":3},{"info":"∃⊬BFE6E0∲⫓NaN=NaN","layer":2},{"info":"∃⊬12F4≦≮≮=∃⊬-38DC","layer":3},{"info":"∃⊬8B0⪨≂∃⊬818=∃⊬196","layer":3},{"info":"∃⊬-38DC⨽∃⊬196=∃⊬-25E2F6D0","layer":2},{"info":"NaN⊭↱∃⊬-25E2F6D0=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":579,"expression_no_base_symbol":"((⪲⇎($5907$⫸⊐$8376$))⨟⋌⩍(($2657$⩤)⫡⨏(-$5622$)))⪢((($1249$≣⋋)⊪)⩨($8676$⊴$8148$*($2866$⩠)))","expression":"((⪲⇎(∃⊬1713⫸⊐∃⊬20B8))⨟⋌⩍((∃⊬A61⩤)⫡⨏(-∃⊬15F6)))⪢(((∃⊬4E1≣⋋)⊪)⩨(∃⊬21E4⊴∃⊬1FD4*(∃⊬B32⩠)))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9515,"operation_count":13,"complexity_ratio":731.9230769230769,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5907,"base":16},"right_expr":{"type":"numeric_atoms","value":8376,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2657,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5622,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1249,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8676,"base":16},"right_expr":{"type":"numeric_atoms","value":8148,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2866,"base":16}}}}},"used_operators":["dWAJyo7jo9","rGHVDoGpnC","XPYlsWDdGa","mqXw5SEYmG","QMFrweE19q","Z2TMIBDE3Q","t8gj7n24qd","2DlMacCsIx","zVYPLywUTj","Tcnh7f0tEr","9HNa5Wba9A","Nsiff2A1zJ","sJAwomhLZr"],"dependent_operators":["k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5907","layer":4},{"info":"number node, value=8376","layer":4},{"info":"compute binary expreesion, left_input=5907, right_input=8376, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33379","layer":3},{"info":"compute unary expreesion, input=33379, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=66758","layer":2},{"info":"number node, value=2657","layer":4},{"info":"compute unary expreesion, input=2657, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2657","layer":3},{"info":"number node, value=5622","layer":4},{"info":"compute unary expreesion, input=5622, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5622","layer":3},{"info":"compute binary expreesion, left_input=-2657, right_input=-5622, 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=-23746","layer":2},{"info":"compute binary expreesion, left_input=66758, right_input=-23746, 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=1249","layer":4},{"info":"compute unary expreesion, input=1249, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 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":2},{"info":"number node, value=8676","layer":4},{"info":"number node, value=8148","layer":4},{"info":"compute binary expreesion, left_input=8676, right_input=8148, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2866","layer":4},{"info":"compute unary expreesion, input=2866, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪲⇎(∃⊬1713⫸⊐∃⊬20B8))⨟⋌⩍((∃⊬A61⩤)⫡⨏(-∃⊬15F6)))⪢(((∃⊬4E1≣⋋)⊪)⩨(∃⊬21E4⊴∃⊬1FD4*(∃⊬B32⩠)))=NaN","reverse_text":"NaN=((⪲⇎(∃⊬1713⫸⊐∃⊬20B8))⨟⋌⩍((∃⊬A61⩤)⫡⨏(-∃⊬15F6)))⪢(((∃⊬4E1≣⋋)⊪)⩨(∃⊬21E4⊴∃⊬1FD4*(∃⊬B32⩠)))","cot":[{"info":"∃⊬1713⫸⊐∃⊬20B8=∃⊬8263","layer":3},{"info":"⪲⇎∃⊬8263=∃⊬104C6","layer":2},{"info":"∃⊬A61⩤=∃⊬-A61","layer":3},{"info":"-∃⊬15F6=∃⊬-15F6","layer":3},{"info":"∃⊬-A61⫡⨏∃⊬-15F6=∃⊬-5CC2","layer":2},{"info":"∃⊬104C6⨟⋌⩍∃⊬-5CC2=NaN","layer":1},{"info":"∃⊬4E1≣⋋=∃⊬0","layer":3},{"info":"∃⊬0⊪=∃⊬0","layer":2},{"info":"∃⊬21E4⊴∃⊬1FD4=NaN","layer":3},{"info":"∃⊬B32⩠=∃⊬0","layer":3},{"info":"NaN*∃⊬0=NaN","layer":2},{"info":"∃⊬0⩨NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":580,"expression_no_base_symbol":"((($4164$⊠≄⫣)⫸⊐(∥⊫$1298$))⨐⩸⫘(($3983$/$2854$)⪐))⨓(($5502$+$1768$)⇷(↯⪼$1126$)⨰($4623$*$3996$*(↯⪼$5148$)))","expression":"(((∃⊬1044⊠≄⫣)⫸⊐(∥⊫∃⊬512))⨐⩸⫘((∃⊬F8F/∃⊬B26)⪐))⨓((∃⊬157E+∃⊬6E8)⇷(↯⪼∃⊬466)⨰(∃⊬120F*∃⊬F9C*(↯⪼∃⊬141C)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":105909,"operation_count":14,"complexity_ratio":7564.928571428572,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":4164,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1298,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3983,"base":16},"right_expr":{"type":"numeric_atoms","value":2854,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5502,"base":16},"right_expr":{"type":"numeric_atoms","value":1768,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1126,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4623,"base":16},"right_expr":{"type":"numeric_atoms","value":3996,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5148,"base":16}}}}},"used_operators":["3ViojmjbAp","fu6greOZ01","mqXw5SEYmG","DIvbN7qnHd","P8v4zCKN1o","eH2TOUuTDT","XhwjNDsVaA","eewbuw0ToL","mp7IySMOzn","W4YGzv6Whe","8jW3W4yZS5","9HNa5Wba9A"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4164","layer":4},{"info":"compute unary expreesion, input=4164, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=1298","layer":4},{"info":"compute unary expreesion, input=1298, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2166","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2166, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=0","layer":2},{"info":"number node, value=3983","layer":4},{"info":"number node, value=2854","layer":4},{"info":"compute binary expreesion, left_input=3983, right_input=2854, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2, 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=-5","layer":1},{"info":"number node, value=5502","layer":4},{"info":"number node, value=1768","layer":4},{"info":"compute binary expreesion, left_input=5502, right_input=1768, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7270","layer":3},{"info":"number node, value=1126","layer":4},{"info":"compute unary expreesion, input=1126, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=7270, right_input=-21, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-42","layer":2},{"info":"number node, value=4623","layer":4},{"info":"number node, value=3996","layer":4},{"info":"compute binary expreesion, left_input=4623, right_input=3996, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=18473508","layer":3},{"info":"number node, value=5148","layer":4},{"info":"compute unary expreesion, input=5148, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=18473508, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-387943668","layer":2},{"info":"compute binary expreesion, left_input=-42, right_input=-387943668, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=387943636","layer":1},{"info":"compute binary expreesion, left_input=-5, right_input=387943636, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬1044⊠≄⫣)⫸⊐(∥⊫∃⊬512))⨐⩸⫘((∃⊬F8F/∃⊬B26)⪐))⨓((∃⊬157E+∃⊬6E8)⇷(↯⪼∃⊬466)⨰(∃⊬120F*∃⊬F9C*(↯⪼∃⊬141C)))=NaN","reverse_text":"NaN=(((∃⊬1044⊠≄⫣)⫸⊐(∥⊫∃⊬512))⨐⩸⫘((∃⊬F8F/∃⊬B26)⪐))⨓((∃⊬157E+∃⊬6E8)⇷(↯⪼∃⊬466)⨰(∃⊬120F*∃⊬F9C*(↯⪼∃⊬141C)))","cot":[{"info":"∃⊬1044⊠≄⫣=∃⊬0","layer":3},{"info":"∥⊫∃⊬512=∃⊬876","layer":3},{"info":"∃⊬0⫸⊐∃⊬876=∃⊬0","layer":2},{"info":"∃⊬F8F/∃⊬B26=∃⊬1","layer":3},{"info":"∃⊬1⪐=∃⊬2","layer":2},{"info":"∃⊬0⨐⩸⫘∃⊬2=∃⊬-5","layer":1},{"info":"∃⊬157E+∃⊬6E8=∃⊬1C66","layer":3},{"info":"↯⪼∃⊬466=∃⊬-15","layer":3},{"info":"∃⊬1C66⇷∃⊬-15=∃⊬-2A","layer":2},{"info":"∃⊬120F*∃⊬F9C=∃⊬119E224","layer":3},{"info":"↯⪼∃⊬141C=∃⊬-15","layer":3},{"info":"∃⊬119E224*∃⊬-15=∃⊬-171F8CF4","layer":2},{"info":"∃⊬-2A⨰∃⊬-171F8CF4=∃⊬171F8CD4","layer":1},{"info":"∃⊬-5⨓∃⊬171F8CD4=NaN","layer":0}]}
{"id":581,"expression_no_base_symbol":"⨈⫕(($1887$⩷∴$5779$⪨≂($4790$⫌⩹⨱))⊭↱($1550$≋⫹)⇷($6236$⪒$3248$))","expression":"⨈⫕((∃⊬75F⩷∴∃⊬1693⪨≂(∃⊬12B6⫌⩹⨱))⊭↱(∃⊬60E≋⫹)⇷(∃⊬185C⪒∃⊬CB0))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43824,"operation_count":8,"complexity_ratio":5478.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1887,"base":16},"right_expr":{"type":"numeric_atoms","value":5779,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":4790,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1550,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6236,"base":16},"right_expr":{"type":"numeric_atoms","value":3248,"base":16}}}}},"used_operators":["megm06wKyl","COABgblf1C","sdazOOVcIp","9FxExcQeMw","EBcxylXtPf","mp7IySMOzn","N41Kp7NANJ","f6k1SAg4EE"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"number node, value=5779","layer":4},{"info":"compute binary expreesion, left_input=1887, right_input=5779, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7816","layer":3},{"info":"number node, value=4790","layer":4},{"info":"compute unary expreesion, input=4790, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=10981","layer":3},{"info":"compute binary expreesion, left_input=-7816, right_input=10981, 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=-37492","layer":2},{"info":"number node, value=1550","layer":4},{"info":"compute unary expreesion, input=1550, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-3100","layer":3},{"info":"number node, value=6236","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=6236, right_input=3248, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9484","layer":3},{"info":"compute binary expreesion, left_input=-3100, right_input=-9484, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-37492, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⨈⫕((∃⊬75F⩷∴∃⊬1693⪨≂(∃⊬12B6⫌⩹⨱))⊭↱(∃⊬60E≋⫹)⇷(∃⊬185C⪒∃⊬CB0))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕((∃⊬75F⩷∴∃⊬1693⪨≂(∃⊬12B6⫌⩹⨱))⊭↱(∃⊬60E≋⫹)⇷(∃⊬185C⪒∃⊬CB0))","cot":[{"info":"∃⊬75F⩷∴∃⊬1693=∃⊬-1E88","layer":3},{"info":"∃⊬12B6⫌⩹⨱=∃⊬2AE5","layer":3},{"info":"∃⊬-1E88⪨≂∃⊬2AE5=∃⊬-9274","layer":2},{"info":"∃⊬60E≋⫹=∃⊬-C1C","layer":3},{"info":"∃⊬185C⪒∃⊬CB0=∃⊬-250C","layer":3},{"info":"∃⊬-C1C⇷∃⊬-250C=NaN","layer":2},{"info":"∃⊬-9274⊭↱NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":582,"expression_no_base_symbol":"⨑⩽⪐(($1719$⩷∴$1376$)⨓($3385$↙$2614$)⊦⊿)","expression":"⨑⩽⪐((∃⊬6B7⩷∴∃⊬560)⨓(∃⊬D39↙∃⊬A36)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10484,"operation_count":5,"complexity_ratio":2096.8,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1719,"base":16},"right_expr":{"type":"numeric_atoms","value":1376,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3385,"base":16},"right_expr":{"type":"numeric_atoms","value":2614,"base":16}}}}},"used_operators":["AF7qkfDlqP","14qkJME0vr","3ViojmjbAp","9FxExcQeMw","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬BB6D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1719","layer":4},{"info":"number node, value=1376","layer":4},{"info":"compute binary expreesion, left_input=1719, right_input=1376, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=654","layer":3},{"info":"number node, value=3385","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=3385, right_input=2614, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7842","layer":3},{"info":"compute binary expreesion, left_input=654, right_input=-7842, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=7839","layer":2},{"info":"compute unary expreesion, input=7839, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-23596","layer":1},{"info":"compute unary expreesion, input=-23596, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=47981","layer":0}],"base":16,"result_base":16,"text":"⨑⩽⪐((∃⊬6B7⩷∴∃⊬560)⨓(∃⊬D39↙∃⊬A36)⊦⊿)=∃⊬BB6D","reverse_text":"∃⊬BB6D=⨑⩽⪐((∃⊬6B7⩷∴∃⊬560)⨓(∃⊬D39↙∃⊬A36)⊦⊿)","cot":[{"info":"∃⊬6B7⩷∴∃⊬560=∃⊬28E","layer":3},{"info":"∃⊬D39↙∃⊬A36=∃⊬-1EA2","layer":3},{"info":"∃⊬28E⨓∃⊬-1EA2=∃⊬1E9F","layer":2},{"info":"∃⊬1E9F⊦⊿=∃⊬-5C2C","layer":1},{"info":"⨑⩽⪐∃⊬-5C2C=∃⊬BB6D","layer":0}]}
{"id":583,"expression_no_base_symbol":"(($2516$⨐⩸⫘$1798$)⪮%⊝($4657$%$1087$)⨵⪆($1942$∀⇚≩$1907$)≹⇙⪍($1026$↙$2142$))⋳⪒((⩦⩻⨪$1513$⪮%⊝$7207$)⨵⪆($2666$-$2090$)⋳⪒($3494$%$1689$))","expression":"((∃⊬9D4⨐⩸⫘∃⊬706)⪮%⊝(∃⊬1231%∃⊬43F)⨵⪆(∃⊬796∀⇚≩∃⊬773)≹⇙⪍(∃⊬402↙∃⊬85E))⋳⪒((⩦⩻⨪∃⊬5E9⪮%⊝∃⊬1C27)⨵⪆(∃⊬A6A-∃⊬82A)⋳⪒(∃⊬DA6%∃⊬699))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15785,"operation_count":14,"complexity_ratio":1127.5,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2516,"base":16},"right_expr":{"type":"numeric_atoms","value":1798,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4657,"base":16},"right_expr":{"type":"numeric_atoms","value":1087,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1942,"base":16},"right_expr":{"type":"numeric_atoms","value":1907,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":2142,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1513,"base":16},"right_expr":{"type":"numeric_atoms","value":7207,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2666,"base":16},"right_expr":{"type":"numeric_atoms","value":2090,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3494,"base":16},"right_expr":{"type":"numeric_atoms","value":1689,"base":16}}}}},"used_operators":["12rbrZMWeM","2DQ55sFlQl","IWmyXbctLI","fu6greOZ01","k8jYdgA6NY","AHs5Up7iyr","LRNGc0VcxI","yyfyN0ffXY","2td37pGCOC","rysDP5nf3Z"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","3ViojmjbAp","rysDP5nf3Z","dWAJyo7jo9","X99M06cbEe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-7F","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2516","layer":4},{"info":"number node, value=1798","layer":4},{"info":"compute binary expreesion, left_input=2516, right_input=1798, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4657","layer":4},{"info":"number node, value=1087","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=1087, op_id = k8jYdgA6NY binary_op_definition= 'None', output=309","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=309, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1942","layer":4},{"info":"number node, value=1907","layer":4},{"info":"compute binary expreesion, left_input=1942, right_input=1907, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1026","layer":4},{"info":"number node, value=2142","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2142, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6426, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=1513","layer":4},{"info":"number node, value=7207","layer":4},{"info":"compute binary expreesion, left_input=1513, right_input=7207, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3342","layer":3},{"info":"compute unary expreesion, input=3342, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3342","layer":2},{"info":"number node, value=2666","layer":4},{"info":"number node, value=2090","layer":4},{"info":"compute binary expreesion, left_input=2666, right_input=2090, op_id = rysDP5nf3Z binary_op_definition= 'None', output=576","layer":3},{"info":"number node, value=3494","layer":4},{"info":"number node, value=1689","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=1689, op_id = k8jYdgA6NY binary_op_definition= 'None', output=116","layer":3},{"info":"compute binary expreesion, left_input=576, right_input=116, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=749","layer":2},{"info":"compute binary expreesion, left_input=3342, right_input=749, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=160, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-127","layer":0}],"base":16,"result_base":16,"text":"((∃⊬9D4⨐⩸⫘∃⊬706)⪮%⊝(∃⊬1231%∃⊬43F)⨵⪆(∃⊬796∀⇚≩∃⊬773)≹⇙⪍(∃⊬402↙∃⊬85E))⋳⪒((⩦⩻⨪∃⊬5E9⪮%⊝∃⊬1C27)⨵⪆(∃⊬A6A-∃⊬82A)⋳⪒(∃⊬DA6%∃⊬699))=∃⊬-7F","reverse_text":"∃⊬-7F=((∃⊬9D4⨐⩸⫘∃⊬706)⪮%⊝(∃⊬1231%∃⊬43F)⨵⪆(∃⊬796∀⇚≩∃⊬773)≹⇙⪍(∃⊬402↙∃⊬85E))⋳⪒((⩦⩻⨪∃⊬5E9⪮%⊝∃⊬1C27)⨵⪆(∃⊬A6A-∃⊬82A)⋳⪒(∃⊬DA6%∃⊬699))","cot":[{"info":"∃⊬9D4⨐⩸⫘∃⊬706=NaN","layer":3},{"info":"∃⊬1231%∃⊬43F=∃⊬135","layer":3},{"info":"NaN⪮%⊝∃⊬135=NaN","layer":2},{"info":"∃⊬796∀⇚≩∃⊬773=NaN","layer":3},{"info":"∃⊬402↙∃⊬85E=∃⊬-191A","layer":3},{"info":"NaN≹⇙⪍∃⊬-191A=NaN","layer":2},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":1},{"info":"∃⊬5E9⪮%⊝∃⊬1C27=∃⊬D0E","layer":3},{"info":"⩦⩻⨪∃⊬D0E=∃⊬D0E","layer":2},{"info":"∃⊬A6A-∃⊬82A=∃⊬240","layer":3},{"info":"∃⊬DA6%∃⊬699=∃⊬74","layer":3},{"info":"∃⊬240⋳⪒∃⊬74=∃⊬2ED","layer":2},{"info":"∃⊬D0E⨵⪆∃⊬2ED=∃⊬A0","layer":1},{"info":"∃⊬A0⋳⪒∃⊬A0=∃⊬-7F","layer":0}]}
{"id":584,"expression_no_base_symbol":"(($3096$⪘⫢$7528$⪒(⨑⩽⪐$4087$))⇼⇔∾(($1442$≭$2729$)≦≮≮))⨓((+⊝⨔$1285$)⫸⊐$1861$↬$1550$)⨪↰⇹($2021$⩷∴$2049$⪄($4354$∲⫓$4518$))","expression":"((∃⊬C18⪘⫢∃⊬1D68⪒(⨑⩽⪐∃⊬FF7))⇼⇔∾((∃⊬5A2≭∃⊬AA9)≦≮≮))⨓((+⊝⨔∃⊬505)⫸⊐∃⊬745↬∃⊬60E)⨪↰⇹(∃⊬7E5⩷∴∃⊬801⪄(∃⊬1102∲⫓∃⊬11A6))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":200,"operation_count":14,"complexity_ratio":14.285714285714286,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3096,"base":16},"right_expr":{"type":"numeric_atoms","value":7528,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4087,"base":16}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1442,"base":16},"right_expr":{"type":"numeric_atoms","value":2729,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1285,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1861,"base":16},"right_expr":{"type":"numeric_atoms","value":1550,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2021,"base":16},"right_expr":{"type":"numeric_atoms","value":2049,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4354,"base":16},"right_expr":{"type":"numeric_atoms","value":4518,"base":16}}}}},"used_operators":["3ViojmjbAp","tifHPKVTfV","f6k1SAg4EE","oacrs7FA3X","AF7qkfDlqP","D4vGDi5EA2","rxpJgHHUmx","tmPS8pqC7x","mqXw5SEYmG","DhbWaqg5eL","B5M0gjZbta","SUmda5xLS4","9FxExcQeMw","i8ToyICDmI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rJVOvQCfKK","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3096","layer":4},{"info":"number node, value=7528","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=7528, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6068","layer":3},{"info":"number node, value=4087","layer":4},{"info":"compute unary expreesion, input=4087, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3814","layer":3},{"info":"compute binary expreesion, left_input=6068, right_input=-3814, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2254","layer":2},{"info":"number node, value=1442","layer":4},{"info":"number node, value=2729","layer":4},{"info":"compute binary expreesion, left_input=1442, right_input=2729, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2254, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1550","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1550, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1522, 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":2},{"info":"number node, value=2021","layer":4},{"info":"number node, value=2049","layer":4},{"info":"compute binary expreesion, left_input=2021, right_input=2049, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-88","layer":3},{"info":"number node, value=4354","layer":4},{"info":"number node, value=4518","layer":4},{"info":"compute binary expreesion, left_input=4354, right_input=4518, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-88, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬C18⪘⫢∃⊬1D68⪒(⨑⩽⪐∃⊬FF7))⇼⇔∾((∃⊬5A2≭∃⊬AA9)≦≮≮))⨓((+⊝⨔∃⊬505)⫸⊐∃⊬745↬∃⊬60E)⨪↰⇹(∃⊬7E5⩷∴∃⊬801⪄(∃⊬1102∲⫓∃⊬11A6))=NaN","reverse_text":"NaN=((∃⊬C18⪘⫢∃⊬1D68⪒(⨑⩽⪐∃⊬FF7))⇼⇔∾((∃⊬5A2≭∃⊬AA9)≦≮≮))⨓((+⊝⨔∃⊬505)⫸⊐∃⊬745↬∃⊬60E)⨪↰⇹(∃⊬7E5⩷∴∃⊬801⪄(∃⊬1102∲⫓∃⊬11A6))","cot":[{"info":"∃⊬C18⪘⫢∃⊬1D68=∃⊬17B4","layer":3},{"info":"⨑⩽⪐∃⊬FF7=∃⊬-EE6","layer":3},{"info":"∃⊬17B4⪒∃⊬-EE6=∃⊬-8CE","layer":2},{"info":"∃⊬5A2≭∃⊬AA9=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"∃⊬-8CE⇼⇔∾NaN=NaN","layer":1},{"info":"+⊝⨔∃⊬505=∃⊬5F2","layer":3},{"info":"∃⊬745↬∃⊬60E=NaN","layer":3},{"info":"∃⊬5F2⫸⊐NaN=NaN","layer":2},{"info":"∃⊬7E5⩷∴∃⊬801=∃⊬-58","layer":3},{"info":"∃⊬1102∲⫓∃⊬11A6=∃⊬0","layer":3},{"info":"∃⊬-58⪄∃⊬0=∃⊬F8B","layer":2},{"info":"NaN⨪↰⇹∃⊬F8B=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":585,"expression_no_base_symbol":"(⩦⩻⨪($3415$⨵⪆$6538$)⪘⫢$1240$⨪↰⇹$1953$)⇼⇔∾(⊥$5889$)⩚⊴⇥($2745$⨳⩥⨓$5312$)⫥∨⫟$4311$⨪↰⇹$8223$⩚⊴⇥($1471$/$7981$)","expression":"(⩦⩻⨪(∃⊬D57⨵⪆∃⊬198A)⪘⫢∃⊬4D8⨪↰⇹∃⊬7A1)⇼⇔∾(⊥∃⊬1701)⩚⊴⇥(∃⊬AB9⨳⩥⨓∃⊬14C0)⫥∨⫟∃⊬10D7⨪↰⇹∃⊬201F⩚⊴⇥(∃⊬5BF/∃⊬1F2D)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5737,"operation_count":12,"complexity_ratio":478.0833333333333,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3415,"base":16},"right_expr":{"type":"numeric_atoms","value":6538,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1240,"base":16},"right_expr":{"type":"numeric_atoms","value":1953,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5889,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2745,"base":16},"right_expr":{"type":"numeric_atoms","value":5312,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4311,"base":16},"right_expr":{"type":"numeric_atoms","value":8223,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1471,"base":16},"right_expr":{"type":"numeric_atoms","value":7981,"base":16}}}}},"used_operators":["tifHPKVTfV","2td37pGCOC","oacrs7FA3X","2DQ55sFlQl","tmPS8pqC7x","KYD54nUTWz","NTOWxs364D","Q3PJZHRvZv","nCS4ZIUYfx","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","fu6greOZ01","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3415","layer":4},{"info":"number node, value=6538","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=6538, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1240","layer":4},{"info":"number node, value=1953","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1953, 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=1240","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=1240, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=196","layer":2},{"info":"compute unary expreesion, input=196, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=196","layer":1},{"info":"number node, value=5889","layer":4},{"info":"compute unary expreesion, input=5889, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=2745","layer":4},{"info":"number node, value=5312","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=5312, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2567","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2567, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4311","layer":4},{"info":"number node, value=8223","layer":4},{"info":"compute binary expreesion, left_input=4311, right_input=8223, 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=4311","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=7981","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=7981, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=4311, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4432","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4432, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪(∃⊬D57⨵⪆∃⊬198A)⪘⫢∃⊬4D8⨪↰⇹∃⊬7A1)⇼⇔∾(⊥∃⊬1701)⩚⊴⇥(∃⊬AB9⨳⩥⨓∃⊬14C0)⫥∨⫟∃⊬10D7⨪↰⇹∃⊬201F⩚⊴⇥(∃⊬5BF/∃⊬1F2D)=NaN","reverse_text":"NaN=(⩦⩻⨪(∃⊬D57⨵⪆∃⊬198A)⪘⫢∃⊬4D8⨪↰⇹∃⊬7A1)⇼⇔∾(⊥∃⊬1701)⩚⊴⇥(∃⊬AB9⨳⩥⨓∃⊬14C0)⫥∨⫟∃⊬10D7⨪↰⇹∃⊬201F⩚⊴⇥(∃⊬5BF/∃⊬1F2D)","cot":[{"info":"∃⊬D57⨵⪆∃⊬198A=∃⊬A0","layer":3},{"info":"∃⊬4D8⨪↰⇹∃⊬7A1=∃⊬4D8","layer":3},{"info":"∃⊬A0⪘⫢∃⊬4D8=∃⊬C4","layer":2},{"info":"⩦⩻⨪∃⊬C4=∃⊬C4","layer":1},{"info":"⊥∃⊬1701=NaN","layer":3},{"info":"∃⊬AB9⨳⩥⨓∃⊬14C0=∃⊬A07","layer":3},{"info":"NaN⩚⊴⇥∃⊬A07=NaN","layer":2},{"info":"∃⊬10D7⨪↰⇹∃⊬201F=∃⊬10D7","layer":3},{"info":"∃⊬5BF/∃⊬1F2D=∃⊬0","layer":3},{"info":"∃⊬10D7⩚⊴⇥∃⊬0=∃⊬-1150","layer":2},{"info":"NaN⫥∨⫟∃⊬-1150=NaN","layer":1},{"info":"∃⊬C4⇼⇔∾NaN=NaN","layer":0}]}
{"id":586,"expression_no_base_symbol":"⨈⫕(≉(↣≠⋷$1001$)∀⇚≩($6104$∑⇟⊟$1937$))","expression":"⨈⫕(≉(↣≠⋷∃⊬3E9)∀⇚≩(∃⊬17D8∑⇟⊟∃⊬791))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":392,"operation_count":5,"complexity_ratio":78.4,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1001,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6104,"base":16},"right_expr":{"type":"numeric_atoms","value":1937,"base":16}}}}},"used_operators":["megm06wKyl","e1ybzncUwg","LRNGc0VcxI","Asc51vEJeQ","U7g4x0WXJJ"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=6104","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=6104, right_input=1937, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , 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":"⨈⫕(≉(↣≠⋷∃⊬3E9)∀⇚≩(∃⊬17D8∑⇟⊟∃⊬791))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(≉(↣≠⋷∃⊬3E9)∀⇚≩(∃⊬17D8∑⇟⊟∃⊬791))","cot":[{"info":"↣≠⋷∃⊬3E9=NaN","layer":3},{"info":"∃⊬17D8∑⇟⊟∃⊬791=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⨈⫕NaN=∃⊬-15","layer":0}]}
{"id":587,"expression_no_base_symbol":"(↣≠⋷$1204$≹⇙⪍$3203$)∀⇚≩(⋗⩬⋾$2215$⨽$2191$)≭($2353$∼$6731$⨰($7873$⪒$7524$)⫡⨏(↔($2627$⩨$7717$)))","expression":"(↣≠⋷∃⊬4B4≹⇙⪍∃⊬C83)∀⇚≩(⋗⩬⋾∃⊬8A7⨽∃⊬88F)≭(∃⊬931∼∃⊬1A4B⨰(∃⊬1EC1⪒∃⊬1D64)⫡⨏(↔(∃⊬A43⩨∃⊬1E25)))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2312,"operation_count":12,"complexity_ratio":192.66666666666666,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1204,"base":16},"right_expr":{"type":"numeric_atoms","value":3203,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2215,"base":16},"right_expr":{"type":"numeric_atoms","value":2191,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2353,"base":16},"right_expr":{"type":"numeric_atoms","value":6731,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":7873,"base":16},"right_expr":{"type":"numeric_atoms","value":7524,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2627,"base":16},"right_expr":{"type":"numeric_atoms","value":7717,"base":16}}}}},"used_operators":["rxpJgHHUmx","LRNGc0VcxI","Asc51vEJeQ","AHs5Up7iyr","DpFCA1CohY","8HhzD0ZcuI","QMFrweE19q","eewbuw0ToL","DyGG3AbaNP","f6k1SAg4EE","ruOEQAzv1W","2DlMacCsIx"],"dependent_operators":["AHs5Up7iyr","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=3203","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=3203, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2215","layer":4},{"info":"number node, value=2191","layer":4},{"info":"compute binary expreesion, left_input=2215, right_input=2191, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14723934","layer":3},{"info":"compute unary expreesion, input=-14723934, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=44171802","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=44171802, 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=2353","layer":4},{"info":"number node, value=6731","layer":4},{"info":"compute binary expreesion, left_input=2353, right_input=6731, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=7873","layer":4},{"info":"number node, value=7524","layer":4},{"info":"compute binary expreesion, left_input=7873, right_input=7524, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-15397","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-15397, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2627","layer":4},{"info":"number node, value=7717","layer":4},{"info":"compute binary expreesion, left_input=2627, right_input=7717, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=801","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=801, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷∃⊬4B4≹⇙⪍∃⊬C83)∀⇚≩(⋗⩬⋾∃⊬8A7⨽∃⊬88F)≭(∃⊬931∼∃⊬1A4B⨰(∃⊬1EC1⪒∃⊬1D64)⫡⨏(↔(∃⊬A43⩨∃⊬1E25)))=NaN","reverse_text":"NaN=(↣≠⋷∃⊬4B4≹⇙⪍∃⊬C83)∀⇚≩(⋗⩬⋾∃⊬8A7⨽∃⊬88F)≭(∃⊬931∼∃⊬1A4B⨰(∃⊬1EC1⪒∃⊬1D64)⫡⨏(↔(∃⊬A43⩨∃⊬1E25)))","cot":[{"info":"∃⊬4B4≹⇙⪍∃⊬C83=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"∃⊬8A7⨽∃⊬88F=∃⊬-E0AB5E","layer":3},{"info":"⋗⩬⋾∃⊬-E0AB5E=∃⊬2A2021A","layer":2},{"info":"NaN∀⇚≩∃⊬2A2021A=NaN","layer":1},{"info":"∃⊬931∼∃⊬1A4B=NaN","layer":3},{"info":"∃⊬1EC1⪒∃⊬1D64=∃⊬-3C25","layer":3},{"info":"NaN⨰∃⊬-3C25=NaN","layer":2},{"info":"∃⊬A43⩨∃⊬1E25=∃⊬-6","layer":3},{"info":"↔∃⊬-6=∃⊬321","layer":2},{"info":"NaN⫡⨏∃⊬321=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":588,"expression_no_base_symbol":"($1775$⫥∨⫟$4432$)⋓($1099$*$5866$)↺((⩦⩻⨪$2016$)⪐)∲⫓((($1200$/$4049$)⪐)⊘)","expression":"(∃⊬6EF⫥∨⫟∃⊬1150)⋓(∃⊬44B*∃⊬16EA)↺((⩦⩻⨪∃⊬7E0)⪐)∲⫓(((∃⊬4B0/∃⊬FD1)⪐)⊘)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1299,"operation_count":10,"complexity_ratio":129.9,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1775,"base":16},"right_expr":{"type":"numeric_atoms","value":4432,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1099,"base":16},"right_expr":{"type":"numeric_atoms","value":5866,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2016,"base":16}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1200,"base":16},"right_expr":{"type":"numeric_atoms","value":4049,"base":16}}}}},"used_operators":["i8ToyICDmI","7j4O788W3g","T2fj7uvVaJ","KYD54nUTWz","9HNa5Wba9A","eH2TOUuTDT","2td37pGCOC","gu96TGCTMs","XhwjNDsVaA"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z"],"result":"∃⊬FC0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1775","layer":4},{"info":"number node, value=4432","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=4432, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1099","layer":4},{"info":"number node, value=5866","layer":4},{"info":"compute binary expreesion, left_input=1099, right_input=5866, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6446734","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6446734, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2016","layer":4},{"info":"compute unary expreesion, input=2016, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2016","layer":3},{"info":"compute unary expreesion, input=2016, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=4032","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=4032, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4032","layer":1},{"info":"number node, value=1200","layer":4},{"info":"number node, value=4049","layer":4},{"info":"compute binary expreesion, left_input=1200, right_input=4049, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4032, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4032","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6EF⫥∨⫟∃⊬1150)⋓(∃⊬44B*∃⊬16EA)↺((⩦⩻⨪∃⊬7E0)⪐)∲⫓(((∃⊬4B0/∃⊬FD1)⪐)⊘)=∃⊬FC0","reverse_text":"∃⊬FC0=(∃⊬6EF⫥∨⫟∃⊬1150)⋓(∃⊬44B*∃⊬16EA)↺((⩦⩻⨪∃⊬7E0)⪐)∲⫓(((∃⊬4B0/∃⊬FD1)⪐)⊘)","cot":[{"info":"∃⊬6EF⫥∨⫟∃⊬1150=NaN","layer":3},{"info":"∃⊬44B*∃⊬16EA=∃⊬625E8E","layer":3},{"info":"NaN⋓∃⊬625E8E=∃⊬0","layer":2},{"info":"⩦⩻⨪∃⊬7E0=∃⊬7E0","layer":3},{"info":"∃⊬7E0⪐=∃⊬FC0","layer":2},{"info":"∃⊬0↺∃⊬FC0=∃⊬FC0","layer":1},{"info":"∃⊬4B0/∃⊬FD1=∃⊬0","layer":3},{"info":"∃⊬0⪐=∃⊬0","layer":2},{"info":"∃⊬0⊘=∃⊬0","layer":1},{"info":"∃⊬FC0∲⫓∃⊬0=∃⊬FC0","layer":0}]}
{"id":589,"expression_no_base_symbol":"((⋗⩬⋾$4183$)≭($1546$⇼⇔∾$4465$))∼((⨵≀≌$2583$)-(↥$4450$))⊦⊿","expression":"((⋗⩬⋾∃⊬1057)≭(∃⊬60A⇼⇔∾∃⊬1171))∼((⨵≀≌∃⊬A17)-(↥∃⊬1162))⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":106,"operation_count":8,"complexity_ratio":13.25,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":4183,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1546,"base":16},"right_expr":{"type":"numeric_atoms","value":4465,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":2583,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":4450,"base":16}}}}},"used_operators":["14qkJME0vr","DyGG3AbaNP","rxpJgHHUmx","DpFCA1CohY","tifHPKVTfV","rysDP5nf3Z","srAu1WTS94","A8NUZmVepG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4183","layer":4},{"info":"compute unary expreesion, input=4183, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-12549","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=4465","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=4465, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2919","layer":3},{"info":"compute binary expreesion, left_input=-12549, right_input=2919, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2583","layer":4},{"info":"compute unary expreesion, input=2583, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-7749","layer":3},{"info":"number node, value=4450","layer":4},{"info":"compute unary expreesion, input=4450, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=13","layer":3},{"info":"compute binary expreesion, left_input=-7749, right_input=13, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7762","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7762, 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 = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⋗⩬⋾∃⊬1057)≭(∃⊬60A⇼⇔∾∃⊬1171))∼((⨵≀≌∃⊬A17)-(↥∃⊬1162))⊦⊿=NaN","reverse_text":"NaN=((⋗⩬⋾∃⊬1057)≭(∃⊬60A⇼⇔∾∃⊬1171))∼((⨵≀≌∃⊬A17)-(↥∃⊬1162))⊦⊿","cot":[{"info":"⋗⩬⋾∃⊬1057=∃⊬-3105","layer":3},{"info":"∃⊬60A⇼⇔∾∃⊬1171=∃⊬B67","layer":3},{"info":"∃⊬-3105≭∃⊬B67=NaN","layer":2},{"info":"⨵≀≌∃⊬A17=∃⊬-1E45","layer":3},{"info":"↥∃⊬1162=∃⊬D","layer":3},{"info":"∃⊬-1E45-∃⊬D=∃⊬-1E52","layer":2},{"info":"NaN∼∃⊬-1E52=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":590,"expression_no_base_symbol":"($4001$↺$1811$⇼⇔∾($1931$∲⫓$3252$)↪⪝)⋓(⪝⪂⫅($2665$%$7135$))⪛($2778$≹⇙⪍$2473$⫸⊐(⪝⪂⫅$1856$))","expression":"(∃⊬FA1↺∃⊬713⇼⇔∾(∃⊬78B∲⫓∃⊬CB4)↪⪝)⋓(⪝⪂⫅(∃⊬A69%∃⊬1BDF))⪛(∃⊬ADA≹⇙⪍∃⊬9A9⫸⊐(⪝⪂⫅∃⊬740))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1029,"operation_count":11,"complexity_ratio":93.54545454545455,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4001,"base":16},"right_expr":{"type":"numeric_atoms","value":1811,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1931,"base":16},"right_expr":{"type":"numeric_atoms","value":3252,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2665,"base":16},"right_expr":{"type":"numeric_atoms","value":7135,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2778,"base":16},"right_expr":{"type":"numeric_atoms","value":2473,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1856,"base":16}}}}},"used_operators":["T2fj7uvVaJ","l07mrZUIn9","tifHPKVTfV","7j4O788W3g","i8ToyICDmI","uFcxV4UQCh","XTarYq4gQB","k8jYdgA6NY","mqXw5SEYmG","AHs5Up7iyr"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4001","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=4001, right_input=1811, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1811","layer":3},{"info":"number node, value=1931","layer":4},{"info":"number node, value=3252","layer":4},{"info":"compute binary expreesion, left_input=1931, right_input=3252, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1811, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1811","layer":2},{"info":"compute unary expreesion, input=-1811, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-110800602","layer":1},{"info":"number node, value=2665","layer":4},{"info":"number node, value=7135","layer":4},{"info":"compute binary expreesion, left_input=2665, right_input=7135, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2665","layer":3},{"info":"compute unary expreesion, input=2665, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-391755","layer":2},{"info":"number node, value=2778","layer":4},{"info":"number node, value=2473","layer":4},{"info":"compute binary expreesion, left_input=2778, right_input=2473, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1856","layer":4},{"info":"compute unary expreesion, input=1856, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-272832","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-272832, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-391755, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-110800602, 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":"(∃⊬FA1↺∃⊬713⇼⇔∾(∃⊬78B∲⫓∃⊬CB4)↪⪝)⋓(⪝⪂⫅(∃⊬A69%∃⊬1BDF))⪛(∃⊬ADA≹⇙⪍∃⊬9A9⫸⊐(⪝⪂⫅∃⊬740))=NaN","reverse_text":"NaN=(∃⊬FA1↺∃⊬713⇼⇔∾(∃⊬78B∲⫓∃⊬CB4)↪⪝)⋓(⪝⪂⫅(∃⊬A69%∃⊬1BDF))⪛(∃⊬ADA≹⇙⪍∃⊬9A9⫸⊐(⪝⪂⫅∃⊬740))","cot":[{"info":"∃⊬FA1↺∃⊬713=∃⊬713","layer":3},{"info":"∃⊬78B∲⫓∃⊬CB4=∃⊬0","layer":3},{"info":"∃⊬713⇼⇔∾∃⊬0=∃⊬-713","layer":2},{"info":"∃⊬-713↪⪝=∃⊬-69AAEDA","layer":1},{"info":"∃⊬A69%∃⊬1BDF=∃⊬A69","layer":3},{"info":"⪝⪂⫅∃⊬A69=∃⊬-5FA4B","layer":2},{"info":"∃⊬ADA≹⇙⪍∃⊬9A9=NaN","layer":3},{"info":"⪝⪂⫅∃⊬740=∃⊬-429C0","layer":3},{"info":"NaN⫸⊐∃⊬-429C0=NaN","layer":2},{"info":"∃⊬-5FA4B⪛NaN=NaN","layer":1},{"info":"∃⊬-69AAEDA⋓NaN=NaN","layer":0}]}
{"id":591,"expression_no_base_symbol":"⇁⨣⪵(⋗⩬⋾($3770$≣⋋))⋳⪒($1202$+$4393$)≭($1633$⫥∨⫟$1173$)","expression":"⇁⨣⪵(⋗⩬⋾(∃⊬EBA≣⋋))⋳⪒(∃⊬4B2+∃⊬1129)≭(∃⊬661⫥∨⫟∃⊬495)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":681,"operation_count":7,"complexity_ratio":97.28571428571429,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":3770,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1202,"base":16},"right_expr":{"type":"numeric_atoms","value":4393,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1633,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}}}}},"used_operators":["inkyxCbjAn","12rbrZMWeM","DpFCA1CohY","Tcnh7f0tEr","rxpJgHHUmx","W4YGzv6Whe","KYD54nUTWz"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3770","layer":4},{"info":"compute unary expreesion, input=3770, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":2},{"info":"number node, value=1202","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=1202, right_input=4393, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5595","layer":3},{"info":"number node, value=1633","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=1173, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5595, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(⋗⩬⋾(∃⊬EBA≣⋋))⋳⪒(∃⊬4B2+∃⊬1129)≭(∃⊬661⫥∨⫟∃⊬495)=NaN","reverse_text":"NaN=⇁⨣⪵(⋗⩬⋾(∃⊬EBA≣⋋))⋳⪒(∃⊬4B2+∃⊬1129)≭(∃⊬661⫥∨⫟∃⊬495)","cot":[{"info":"∃⊬EBA≣⋋=∃⊬0","layer":3},{"info":"⋗⩬⋾∃⊬0=∃⊬0","layer":2},{"info":"∃⊬4B2+∃⊬1129=∃⊬15DB","layer":3},{"info":"∃⊬661⫥∨⫟∃⊬495=NaN","layer":3},{"info":"∃⊬15DB≭NaN=NaN","layer":2},{"info":"∃⊬0⋳⪒NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":592,"expression_no_base_symbol":"($3337$⨽$4425$⨵⪆($2431$⇋≉)⪨≂(≦∁($3747$⪨≂$2469$)))∲⫓(($1038$⪘⫢$1586$↪⪝)⫌⩹⨱)","expression":"(∃⊬D09⨽∃⊬1149⨵⪆(∃⊬97F⇋≉)⪨≂(≦∁(∃⊬EA3⪨≂∃⊬9A5)))∲⫓((∃⊬40E⪘⫢∃⊬632↪⪝)⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4085,"operation_count":10,"complexity_ratio":408.5,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3337,"base":16},"right_expr":{"type":"numeric_atoms","value":4425,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2431,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3747,"base":16},"right_expr":{"type":"numeric_atoms","value":2469,"base":16}}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1038,"base":16},"right_expr":{"type":"numeric_atoms","value":1586,"base":16}}}}},"used_operators":["i8ToyICDmI","sdazOOVcIp","2DQ55sFlQl","8HhzD0ZcuI","XIabStNQrY","9ICcGScMcE","EBcxylXtPf","l07mrZUIn9","oacrs7FA3X"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3337","layer":4},{"info":"number node, value=4425","layer":4},{"info":"compute binary expreesion, left_input=3337, right_input=4425, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-33418668","layer":3},{"info":"number node, value=2431","layer":4},{"info":"compute unary expreesion, input=2431, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4764","layer":3},{"info":"compute binary expreesion, left_input=-33418668, right_input=4764, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3747","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=3747, right_input=2469, 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=2658","layer":3},{"info":"compute unary expreesion, input=2658, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2658","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=2658, 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=-4894","layer":1},{"info":"number node, value=1038","layer":4},{"info":"number node, value=1586","layer":4},{"info":"compute binary expreesion, left_input=1038, right_input=1586, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1952","layer":3},{"info":"compute unary expreesion, input=1952, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=119427264","layer":2},{"info":"compute unary expreesion, input=119427264, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=238855929","layer":1},{"info":"compute binary expreesion, left_input=-4894, right_input=238855929, 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":"(∃⊬D09⨽∃⊬1149⨵⪆(∃⊬97F⇋≉)⪨≂(≦∁(∃⊬EA3⪨≂∃⊬9A5)))∲⫓((∃⊬40E⪘⫢∃⊬632↪⪝)⫌⩹⨱)=∃⊬0","reverse_text":"∃⊬0=(∃⊬D09⨽∃⊬1149⨵⪆(∃⊬97F⇋≉)⪨≂(≦∁(∃⊬EA3⪨≂∃⊬9A5)))∲⫓((∃⊬40E⪘⫢∃⊬632↪⪝)⫌⩹⨱)","cot":[{"info":"∃⊬D09⨽∃⊬1149=∃⊬-1FDEDAC","layer":3},{"info":"∃⊬97F⇋≉=∃⊬129C","layer":3},{"info":"∃⊬-1FDEDAC⨵⪆∃⊬129C=∃⊬A0","layer":2},{"info":"∃⊬EA3⪨≂∃⊬9A5=∃⊬A62","layer":3},{"info":"≦∁∃⊬A62=∃⊬A62","layer":2},{"info":"∃⊬A0⪨≂∃⊬A62=∃⊬-131E","layer":1},{"info":"∃⊬40E⪘⫢∃⊬632=∃⊬7A0","layer":3},{"info":"∃⊬7A0↪⪝=∃⊬71E50C0","layer":2},{"info":"∃⊬71E50C0⫌⩹⨱=∃⊬E3CA6F9","layer":1},{"info":"∃⊬-131E∲⫓∃⊬E3CA6F9=∃⊬0","layer":0}]}
{"id":593,"expression_no_base_symbol":"(($3009$⨵⪆$1004$)⋝⋈⪟($4655$∲⫓$2939$))↬(($6428$⩨$4224$)≭($4471$≎⊠⪸$2876$))⪒((↽≂$2567$)⋥≓≎($1880$%$2107$))⋥≓≎($1419$↛⩡⫤)⪮%⊝($1691$⪛$6027$)","expression":"((∃⊬BC1⨵⪆∃⊬3EC)⋝⋈⪟(∃⊬122F∲⫓∃⊬B7B))↬((∃⊬191C⩨∃⊬1080)≭(∃⊬1177≎⊠⪸∃⊬B3C))⪒((↽≂∃⊬A07)⋥≓≎(∃⊬758%∃⊬83B))⋥≓≎(∃⊬58B↛⩡⫤)⪮%⊝(∃⊬69B⪛∃⊬178B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4699,"operation_count":15,"complexity_ratio":313.26666666666665,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3009,"base":16},"right_expr":{"type":"numeric_atoms","value":1004,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4655,"base":16},"right_expr":{"type":"numeric_atoms","value":2939,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6428,"base":16},"right_expr":{"type":"numeric_atoms","value":4224,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4471,"base":16},"right_expr":{"type":"numeric_atoms","value":2876,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2567,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1880,"base":16},"right_expr":{"type":"numeric_atoms","value":2107,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1419,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1691,"base":16},"right_expr":{"type":"numeric_atoms","value":6027,"base":16}}}}},"used_operators":["f6k1SAg4EE","B5M0gjZbta","2DDjHMKMc0","2DQ55sFlQl","i8ToyICDmI","rxpJgHHUmx","2DlMacCsIx","bJkvcejdHO","Qy55tPpLXF","u6S6b8DprG","k8jYdgA6NY","IWmyXbctLI","FU0Cs4j7VP","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3009","layer":4},{"info":"number node, value=1004","layer":4},{"info":"compute binary expreesion, left_input=3009, right_input=1004, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4655","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=4655, right_input=2939, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=160","layer":2},{"info":"number node, value=6428","layer":4},{"info":"number node, value=4224","layer":4},{"info":"compute binary expreesion, left_input=6428, right_input=4224, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=4471","layer":4},{"info":"number node, value=2876","layer":4},{"info":"compute binary expreesion, left_input=4471, right_input=2876, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1157516","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1157516, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5134","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=2107, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1880","layer":3},{"info":"compute binary expreesion, left_input=-5134, right_input=1880, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1419","layer":4},{"info":"compute unary expreesion, input=1419, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-210358","layer":3},{"info":"number node, value=1691","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=1691, right_input=6027, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1691","layer":3},{"info":"compute binary expreesion, left_input=-210358, right_input=1691, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-420400","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=-420400, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-840834","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-840834, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬BC1⨵⪆∃⊬3EC)⋝⋈⪟(∃⊬122F∲⫓∃⊬B7B))↬((∃⊬191C⩨∃⊬1080)≭(∃⊬1177≎⊠⪸∃⊬B3C))⪒((↽≂∃⊬A07)⋥≓≎(∃⊬758%∃⊬83B))⋥≓≎(∃⊬58B↛⩡⫤)⪮%⊝(∃⊬69B⪛∃⊬178B)=NaN","reverse_text":"NaN=((∃⊬BC1⨵⪆∃⊬3EC)⋝⋈⪟(∃⊬122F∲⫓∃⊬B7B))↬((∃⊬191C⩨∃⊬1080)≭(∃⊬1177≎⊠⪸∃⊬B3C))⪒((↽≂∃⊬A07)⋥≓≎(∃⊬758%∃⊬83B))⋥≓≎(∃⊬58B↛⩡⫤)⪮%⊝(∃⊬69B⪛∃⊬178B)","cot":[{"info":"∃⊬BC1⨵⪆∃⊬3EC=∃⊬A0","layer":3},{"info":"∃⊬122F∲⫓∃⊬B7B=∃⊬0","layer":3},{"info":"∃⊬A0⋝⋈⪟∃⊬0=∃⊬A0","layer":2},{"info":"∃⊬191C⩨∃⊬1080=∃⊬0","layer":3},{"info":"∃⊬1177≎⊠⪸∃⊬B3C=∃⊬11A98C","layer":3},{"info":"∃⊬0≭∃⊬11A98C=NaN","layer":2},{"info":"∃⊬A0↬NaN=NaN","layer":1},{"info":"↽≂∃⊬A07=∃⊬-140E","layer":3},{"info":"∃⊬758%∃⊬83B=∃⊬758","layer":3},{"info":"∃⊬-140E⋥≓≎∃⊬758=∃⊬43","layer":2},{"info":"∃⊬58B↛⩡⫤=∃⊬-335B6","layer":3},{"info":"∃⊬69B⪛∃⊬178B=∃⊬69B","layer":3},{"info":"∃⊬-335B6⪮%⊝∃⊬69B=∃⊬-66A30","layer":2},{"info":"∃⊬43⋥≓≎∃⊬-66A30=∃⊬-CD482","layer":1},{"info":"NaN⪒∃⊬-CD482=NaN","layer":0}]}
{"id":594,"expression_no_base_symbol":"(⇁⨣⪵(⨑⩽⪐$1550$⨽$1898$))≎⊠⪸($9347$⨓$1392$⨵⪆(⪲⇎$1029$)⋷$1447$≹⇙⪍$2602$⨐⩸⫘($2900$⨁⊸⫻))","expression":"(⇁⨣⪵(⨑⩽⪐∃⊬60E⨽∃⊬76A))≎⊠⪸(∃⊬2483⨓∃⊬570⨵⪆(⪲⇎∃⊬405)⋷∃⊬5A7≹⇙⪍∃⊬A2A⨐⩸⫘(∃⊬B54⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2985,"operation_count":11,"complexity_ratio":271.3636363636364,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1550,"base":16},"right_expr":{"type":"numeric_atoms","value":1898,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":9347,"base":16},"right_expr":{"type":"numeric_atoms","value":1392,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1029,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1447,"base":16},"right_expr":{"type":"numeric_atoms","value":2602,"base":16}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":2900,"base":16}}}}},"used_operators":["bJkvcejdHO","inkyxCbjAn","AF7qkfDlqP","8HhzD0ZcuI","23Mk6UjR3U","2DQ55sFlQl","3ViojmjbAp","XPYlsWDdGa","fu6greOZ01","AHs5Up7iyr","glklzrTFfD"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1550","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=1550, right_input=1898, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7211880","layer":3},{"info":"compute unary expreesion, input=-7211880, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=14424549","layer":2},{"info":"compute unary expreesion, input=14424549, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=9347","layer":4},{"info":"number node, value=1392","layer":4},{"info":"compute binary expreesion, left_input=9347, right_input=1392, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1395","layer":3},{"info":"number node, value=1029","layer":4},{"info":"compute unary expreesion, input=1029, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2058","layer":3},{"info":"compute binary expreesion, left_input=-1395, right_input=2058, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1447","layer":4},{"info":"number node, value=2602","layer":4},{"info":"compute binary expreesion, left_input=1447, right_input=2602, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2900","layer":4},{"info":"compute unary expreesion, input=2900, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2900","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2900, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-320","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-320, 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":"(⇁⨣⪵(⨑⩽⪐∃⊬60E⨽∃⊬76A))≎⊠⪸(∃⊬2483⨓∃⊬570⨵⪆(⪲⇎∃⊬405)⋷∃⊬5A7≹⇙⪍∃⊬A2A⨐⩸⫘(∃⊬B54⨁⊸⫻))=NaN","reverse_text":"NaN=(⇁⨣⪵(⨑⩽⪐∃⊬60E⨽∃⊬76A))≎⊠⪸(∃⊬2483⨓∃⊬570⨵⪆(⪲⇎∃⊬405)⋷∃⊬5A7≹⇙⪍∃⊬A2A⨐⩸⫘(∃⊬B54⨁⊸⫻))","cot":[{"info":"∃⊬60E⨽∃⊬76A=∃⊬-6E0B68","layer":3},{"info":"⨑⩽⪐∃⊬-6E0B68=∃⊬DC19E5","layer":2},{"info":"⇁⨣⪵∃⊬DC19E5=NaN","layer":1},{"info":"∃⊬2483⨓∃⊬570=∃⊬-573","layer":3},{"info":"⪲⇎∃⊬405=∃⊬80A","layer":3},{"info":"∃⊬-573⨵⪆∃⊬80A=∃⊬A0","layer":2},{"info":"∃⊬5A7≹⇙⪍∃⊬A2A=NaN","layer":3},{"info":"∃⊬B54⨁⊸⫻=∃⊬B54","layer":3},{"info":"NaN⨐⩸⫘∃⊬B54=NaN","layer":2},{"info":"∃⊬A0⋷NaN=∃⊬-140","layer":1},{"info":"NaN≎⊠⪸∃⊬-140=NaN","layer":0}]}
{"id":595,"expression_no_base_symbol":"⨰⫟⨤(($6329$≦≮≮)⪛($4846$∸)⋝⋈⪟(($4213$⩚⊴⇥$2791$)≧⫂∧($1111$⫡⨏$1683$)))","expression":"⨰⫟⨤((∃⊬18B9≦≮≮)⪛(∃⊬12EE∸)⋝⋈⪟((∃⊬1075⩚⊴⇥∃⊬AE7)≧⫂∧(∃⊬457⫡⨏∃⊬693)))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1196,"operation_count":8,"complexity_ratio":149.5,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":6329,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":4846,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4213,"base":16},"right_expr":{"type":"numeric_atoms","value":2791,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1111,"base":16},"right_expr":{"type":"numeric_atoms","value":1683,"base":16}}}}},"used_operators":["Tw270M8GLb","2DDjHMKMc0","uFcxV4UQCh","D4vGDi5EA2","o20kRiQErp","Ph9nP6C5qx","NTOWxs364D","QMFrweE19q"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6329","layer":4},{"info":"compute unary expreesion, input=6329, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-18987","layer":3},{"info":"number node, value=4846","layer":4},{"info":"compute unary expreesion, input=4846, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-18987, right_input=177, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=129","layer":2},{"info":"number node, value=4213","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=4213, right_input=2791, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7125","layer":3},{"info":"number node, value=1111","layer":4},{"info":"number node, value=1683","layer":4},{"info":"compute binary expreesion, left_input=1111, right_input=1683, 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=9704","layer":3},{"info":"compute binary expreesion, left_input=-7125, right_input=9704, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=9231","layer":2},{"info":"compute binary expreesion, left_input=129, right_input=9231, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=129","layer":1},{"info":"compute unary expreesion, input=129, 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":"⨰⫟⨤((∃⊬18B9≦≮≮)⪛(∃⊬12EE∸)⋝⋈⪟((∃⊬1075⩚⊴⇥∃⊬AE7)≧⫂∧(∃⊬457⫡⨏∃⊬693)))=NaN","reverse_text":"NaN=⨰⫟⨤((∃⊬18B9≦≮≮)⪛(∃⊬12EE∸)⋝⋈⪟((∃⊬1075⩚⊴⇥∃⊬AE7)≧⫂∧(∃⊬457⫡⨏∃⊬693)))","cot":[{"info":"∃⊬18B9≦≮≮=∃⊬-4A2B","layer":3},{"info":"∃⊬12EE∸=∃⊬B1","layer":3},{"info":"∃⊬-4A2B⪛∃⊬B1=∃⊬81","layer":2},{"info":"∃⊬1075⩚⊴⇥∃⊬AE7=∃⊬-1BD5","layer":3},{"info":"∃⊬457⫡⨏∃⊬693=∃⊬25E8","layer":3},{"info":"∃⊬-1BD5≧⫂∧∃⊬25E8=∃⊬240F","layer":2},{"info":"∃⊬81⋝⋈⪟∃⊬240F=∃⊬81","layer":1},{"info":"⨰⫟⨤∃⊬81=NaN","layer":0}]}
{"id":596,"expression_no_base_symbol":"(⪝⪂⫅(($3164$⨵⪆$1915$)∑⇟⊟(≦∁$4673$)))⊴(⇁⨣⪵(($3833$+$1483$)⨁⊸⫻))","expression":"(⪝⪂⫅((∃⊬C5C⨵⪆∃⊬77B)∑⇟⊟(≦∁∃⊬1241)))⊴(⇁⨣⪵((∃⊬EF9+∃⊬5CB)⨁⊸⫻))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17,"operation_count":8,"complexity_ratio":2.125,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3164,"base":16},"right_expr":{"type":"numeric_atoms","value":1915,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4673,"base":16}}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3833,"base":16},"right_expr":{"type":"numeric_atoms","value":1483,"base":16}}}}},"used_operators":["Nsiff2A1zJ","XTarYq4gQB","U7g4x0WXJJ","2DQ55sFlQl","9ICcGScMcE","inkyxCbjAn","glklzrTFfD","W4YGzv6Whe"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3164","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=3164, right_input=1915, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4673","layer":4},{"info":"compute unary expreesion, input=4673, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4673","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=4673, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3833","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=1483, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5316","layer":3},{"info":"compute unary expreesion, input=5316, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=5316","layer":2},{"info":"compute unary expreesion, input=5316, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅((∃⊬C5C⨵⪆∃⊬77B)∑⇟⊟(≦∁∃⊬1241)))⊴(⇁⨣⪵((∃⊬EF9+∃⊬5CB)⨁⊸⫻))=NaN","reverse_text":"NaN=(⪝⪂⫅((∃⊬C5C⨵⪆∃⊬77B)∑⇟⊟(≦∁∃⊬1241)))⊴(⇁⨣⪵((∃⊬EF9+∃⊬5CB)⨁⊸⫻))","cot":[{"info":"∃⊬C5C⨵⪆∃⊬77B=∃⊬A0","layer":3},{"info":"≦∁∃⊬1241=∃⊬1241","layer":3},{"info":"∃⊬A0∑⇟⊟∃⊬1241=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"∃⊬EF9+∃⊬5CB=∃⊬14C4","layer":3},{"info":"∃⊬14C4⨁⊸⫻=∃⊬14C4","layer":2},{"info":"⇁⨣⪵∃⊬14C4=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":597,"expression_no_base_symbol":"⩦⩻⨪((↽≂(↔$4393$))⊘)","expression":"⩦⩻⨪((↽≂(↔∃⊬1129))⊘)","highest_n_order":2,"priority_hierarchical_complexity":3,"normalized_expansion_degree":32,"operation_count":4,"complexity_ratio":8.0,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4393,"base":16}}}}},"used_operators":["2td37pGCOC","gu96TGCTMs","u6S6b8DprG","ruOEQAzv1W"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4393","layer":4},{"info":"compute unary expreesion, input=4393, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-4120","layer":3},{"info":"compute unary expreesion, input=-4120, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=8240","layer":2},{"info":"compute unary expreesion, input=8240, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⩦⩻⨪((↽≂(↔∃⊬1129))⊘)=∃⊬0","reverse_text":"∃⊬0=⩦⩻⨪((↽≂(↔∃⊬1129))⊘)","cot":[{"info":"↔∃⊬1129=∃⊬-1018","layer":3},{"info":"↽≂∃⊬-1018=∃⊬2030","layer":2},{"info":"∃⊬2030⊘=∃⊬0","layer":1},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":0}]}
{"id":598,"expression_no_base_symbol":"((⨈⫕$1014$)⪒$3319$⩨$5130$)⪛(($6900$∲⫓$5654$)⩚⊴⇥$2471$⨓$1067$)↬((($1962$⫸⊐$2507$)⨽($3447$⫸⊐$1479$))⨐⩸⫘($4840$∑⇟⊟$1491$↙(⪝⪂⫅$1698$)))","expression":"((⨈⫕∃⊬3F6)⪒∃⊬CF7⩨∃⊬140A)⪛((∃⊬1AF4∲⫓∃⊬1616)⩚⊴⇥∃⊬9A7⨓∃⊬42B)↬(((∃⊬7AA⫸⊐∃⊬9CB)⨽(∃⊬D77⫸⊐∃⊬5C7))⨐⩸⫘(∃⊬12E8∑⇟⊟∃⊬5D3↙(⪝⪂⫅∃⊬6A2)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11612,"operation_count":15,"complexity_ratio":774.1333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1014,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3319,"base":16},"right_expr":{"type":"numeric_atoms","value":5130,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":6900,"base":16},"right_expr":{"type":"numeric_atoms","value":5654,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2471,"base":16},"right_expr":{"type":"numeric_atoms","value":1067,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1962,"base":16},"right_expr":{"type":"numeric_atoms","value":2507,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3447,"base":16},"right_expr":{"type":"numeric_atoms","value":1479,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4840,"base":16},"right_expr":{"type":"numeric_atoms","value":1491,"base":16}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1698,"base":16}}}}},"used_operators":["B5M0gjZbta","uFcxV4UQCh","f6k1SAg4EE","megm06wKyl","2DlMacCsIx","NTOWxs364D","i8ToyICDmI","3ViojmjbAp","fu6greOZ01","8HhzD0ZcuI","mqXw5SEYmG","yyfyN0ffXY","U7g4x0WXJJ","XTarYq4gQB"],"dependent_operators":["rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1014","layer":4},{"info":"compute unary expreesion, input=1014, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=3319","layer":4},{"info":"number node, value=5130","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=5130, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=-3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=24","layer":2},{"info":"number node, value=6900","layer":4},{"info":"number node, value=5654","layer":4},{"info":"compute binary expreesion, left_input=6900, right_input=5654, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1067, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1070","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1070, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=949","layer":2},{"info":"compute binary expreesion, left_input=24, right_input=949, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=24","layer":1},{"info":"number node, value=1962","layer":4},{"info":"number node, value=2507","layer":4},{"info":"compute binary expreesion, left_input=1962, right_input=2507, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9903","layer":3},{"info":"number node, value=3447","layer":4},{"info":"number node, value=1479","layer":4},{"info":"compute binary expreesion, left_input=3447, right_input=1479, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5791","layer":3},{"info":"compute binary expreesion, left_input=9903, right_input=5791, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-294224286","layer":2},{"info":"number node, value=4840","layer":4},{"info":"number node, value=1491","layer":4},{"info":"compute binary expreesion, left_input=4840, right_input=1491, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1698","layer":4},{"info":"compute unary expreesion, input=1698, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-249606","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-249606, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-294224286, 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":1},{"info":"compute binary expreesion, left_input=24, 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":"((⨈⫕∃⊬3F6)⪒∃⊬CF7⩨∃⊬140A)⪛((∃⊬1AF4∲⫓∃⊬1616)⩚⊴⇥∃⊬9A7⨓∃⊬42B)↬(((∃⊬7AA⫸⊐∃⊬9CB)⨽(∃⊬D77⫸⊐∃⊬5C7))⨐⩸⫘(∃⊬12E8∑⇟⊟∃⊬5D3↙(⪝⪂⫅∃⊬6A2)))=NaN","reverse_text":"NaN=((⨈⫕∃⊬3F6)⪒∃⊬CF7⩨∃⊬140A)⪛((∃⊬1AF4∲⫓∃⊬1616)⩚⊴⇥∃⊬9A7⨓∃⊬42B)↬(((∃⊬7AA⫸⊐∃⊬9CB)⨽(∃⊬D77⫸⊐∃⊬5C7))⨐⩸⫘(∃⊬12E8∑⇟⊟∃⊬5D3↙(⪝⪂⫅∃⊬6A2)))","cot":[{"info":"⨈⫕∃⊬3F6=∃⊬-15","layer":3},{"info":"∃⊬CF7⩨∃⊬140A=∃⊬-3","layer":3},{"info":"∃⊬-15⪒∃⊬-3=∃⊬18","layer":2},{"info":"∃⊬1AF4∲⫓∃⊬1616=∃⊬0","layer":3},{"info":"∃⊬9A7⨓∃⊬42B=∃⊬-42E","layer":3},{"info":"∃⊬0⩚⊴⇥∃⊬-42E=∃⊬3B5","layer":2},{"info":"∃⊬18⪛∃⊬3B5=∃⊬18","layer":1},{"info":"∃⊬7AA⫸⊐∃⊬9CB=∃⊬26AF","layer":3},{"info":"∃⊬D77⫸⊐∃⊬5C7=∃⊬169F","layer":3},{"info":"∃⊬26AF⨽∃⊬169F=∃⊬-1189819E","layer":2},{"info":"∃⊬12E8∑⇟⊟∃⊬5D3=NaN","layer":3},{"info":"⪝⪂⫅∃⊬6A2=∃⊬-3CF06","layer":3},{"info":"NaN↙∃⊬-3CF06=NaN","layer":2},{"info":"∃⊬-1189819E⨐⩸⫘NaN=NaN","layer":1},{"info":"∃⊬18↬NaN=NaN","layer":0}]}
{"id":599,"expression_no_base_symbol":"(↔((⨈⫕$5154$)≭$1177$⇷$5499$))⇼⇔∾(⨰⫟⨤$5410$)∀⇚≩(+⊝⨔$1327$)↺$2810$↬$1084$⋥≓≎($3846$∲⫓$1712$)","expression":"(↔((⨈⫕∃⊬1422)≭∃⊬499⇷∃⊬157B))⇼⇔∾(⨰⫟⨤∃⊬1522)∀⇚≩(+⊝⨔∃⊬52F)↺∃⊬AFA↬∃⊬43C⋥≓≎(∃⊬F06∲⫓∃⊬6B0)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":37743,"operation_count":12,"complexity_ratio":3145.25,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":5154,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1177,"base":16},"right_expr":{"type":"numeric_atoms","value":5499,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5410,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1327,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2810,"base":16},"right_expr":{"type":"numeric_atoms","value":1084,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3846,"base":16},"right_expr":{"type":"numeric_atoms","value":1712,"base":16}}}}},"used_operators":["tifHPKVTfV","ruOEQAzv1W","rxpJgHHUmx","megm06wKyl","mp7IySMOzn","7j4O788W3g","LRNGc0VcxI","Tw270M8GLb","DhbWaqg5eL","Qy55tPpLXF","B5M0gjZbta","i8ToyICDmI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬C9","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5154","layer":4},{"info":"compute unary expreesion, input=5154, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=5499","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=5499, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10998","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=10998, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=5410","layer":4},{"info":"compute unary expreesion, input=5410, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=1327","layer":4},{"info":"compute unary expreesion, input=1327, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2810","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=2810, right_input=1084, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3846","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=3846, right_input=1712, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=67, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=201","layer":0}],"base":16,"result_base":16,"text":"(↔((⨈⫕∃⊬1422)≭∃⊬499⇷∃⊬157B))⇼⇔∾(⨰⫟⨤∃⊬1522)∀⇚≩(+⊝⨔∃⊬52F)↺∃⊬AFA↬∃⊬43C⋥≓≎(∃⊬F06∲⫓∃⊬6B0)=∃⊬C9","reverse_text":"∃⊬C9=(↔((⨈⫕∃⊬1422)≭∃⊬499⇷∃⊬157B))⇼⇔∾(⨰⫟⨤∃⊬1522)∀⇚≩(+⊝⨔∃⊬52F)↺∃⊬AFA↬∃⊬43C⋥≓≎(∃⊬F06∲⫓∃⊬6B0)","cot":[{"info":"⨈⫕∃⊬1422=∃⊬-15","layer":3},{"info":"∃⊬499⇷∃⊬157B=∃⊬2AF6","layer":3},{"info":"∃⊬-15≭∃⊬2AF6=NaN","layer":2},{"info":"↔NaN=∃⊬-86","layer":1},{"info":"⨰⫟⨤∃⊬1522=NaN","layer":3},{"info":"+⊝⨔∃⊬52F=∃⊬5F2","layer":3},{"info":"NaN∀⇚≩∃⊬5F2=NaN","layer":2},{"info":"∃⊬AFA↬∃⊬43C=NaN","layer":3},{"info":"∃⊬F06∲⫓∃⊬6B0=∃⊬0","layer":3},{"info":"NaN⋥≓≎∃⊬0=∃⊬43","layer":2},{"info":"NaN↺∃⊬43=∃⊬43","layer":1},{"info":"∃⊬-86⇼⇔∾∃⊬43=∃⊬C9","layer":0}]}
{"id":600,"expression_no_base_symbol":"(⪝⪂⫅((↥$2795$)≭$5772$⪛$3277$))⨟⋌⩍($3230$∼$4831$/$8672$↙$1242$)⪮%⊝($3257$⨎$3406$↺$1988$⨎$1099$)","expression":"(⪝⪂⫅((↥∃⊬AEB)≭∃⊬168C⪛∃⊬CCD))⨟⋌⩍(∃⊬C9E∼∃⊬12DF/∃⊬21E0↙∃⊬4DA)⪮%⊝(∃⊬CB9⨎∃⊬D4E↺∃⊬7C4⨎∃⊬44B)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1388,"operation_count":12,"complexity_ratio":115.66666666666667,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2795,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5772,"base":16},"right_expr":{"type":"numeric_atoms","value":3277,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3230,"base":16},"right_expr":{"type":"numeric_atoms","value":4831,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":8672,"base":16},"right_expr":{"type":"numeric_atoms","value":1242,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3257,"base":16},"right_expr":{"type":"numeric_atoms","value":3406,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1988,"base":16},"right_expr":{"type":"numeric_atoms","value":1099,"base":16}}}}},"used_operators":["rGHVDoGpnC","XTarYq4gQB","rxpJgHHUmx","A8NUZmVepG","uFcxV4UQCh","IWmyXbctLI","XhwjNDsVaA","DyGG3AbaNP","yyfyN0ffXY","7j4O788W3g","rJVOvQCfKK"],"dependent_operators":["Tcnh7f0tEr","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2795","layer":4},{"info":"compute unary expreesion, input=2795, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=41","layer":3},{"info":"number node, value=5772","layer":4},{"info":"number node, value=3277","layer":4},{"info":"compute binary expreesion, left_input=5772, right_input=3277, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2495","layer":3},{"info":"compute binary expreesion, left_input=41, right_input=2495, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=3230","layer":4},{"info":"number node, value=4831","layer":4},{"info":"compute binary expreesion, left_input=3230, right_input=4831, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=8672","layer":4},{"info":"number node, value=1242","layer":4},{"info":"compute binary expreesion, left_input=8672, right_input=1242, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3726","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3726, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3257","layer":4},{"info":"number node, value=3406","layer":4},{"info":"compute binary expreesion, left_input=3257, right_input=3406, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3406","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=1099, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1099","layer":3},{"info":"compute binary expreesion, left_input=3406, right_input=1099, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1099","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1099, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪝⪂⫅((↥∃⊬AEB)≭∃⊬168C⪛∃⊬CCD))⨟⋌⩍(∃⊬C9E∼∃⊬12DF/∃⊬21E0↙∃⊬4DA)⪮%⊝(∃⊬CB9⨎∃⊬D4E↺∃⊬7C4⨎∃⊬44B)=NaN","reverse_text":"NaN=(⪝⪂⫅((↥∃⊬AEB)≭∃⊬168C⪛∃⊬CCD))⨟⋌⩍(∃⊬C9E∼∃⊬12DF/∃⊬21E0↙∃⊬4DA)⪮%⊝(∃⊬CB9⨎∃⊬D4E↺∃⊬7C4⨎∃⊬44B)","cot":[{"info":"↥∃⊬AEB=∃⊬29","layer":3},{"info":"∃⊬168C⪛∃⊬CCD=∃⊬9BF","layer":3},{"info":"∃⊬29≭∃⊬9BF=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"∃⊬C9E∼∃⊬12DF=NaN","layer":3},{"info":"∃⊬21E0↙∃⊬4DA=∃⊬-E8E","layer":3},{"info":"NaN/∃⊬-E8E=NaN","layer":2},{"info":"∃⊬CB9⨎∃⊬D4E=∃⊬D4E","layer":3},{"info":"∃⊬7C4⨎∃⊬44B=∃⊬44B","layer":3},{"info":"∃⊬D4E↺∃⊬44B=∃⊬44B","layer":2},{"info":"NaN⪮%⊝∃⊬44B=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":601,"expression_no_base_symbol":"((⨰⫟⨤($3050$⪨≂$4510$))⩨(⪲⇎($3017$⊦⊿)))⪛(($1292$⇷$2309$≧⫂∧($1428$≎⊠⪸$4661$))∧)","expression":"((⨰⫟⨤(∃⊬BEA⪨≂∃⊬119E))⩨(⪲⇎(∃⊬BC9⊦⊿)))⪛((∃⊬50C⇷∃⊬905≧⫂∧(∃⊬594≎⊠⪸∃⊬1235))∧)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":30556,"operation_count":10,"complexity_ratio":3055.6,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3050,"base":16},"right_expr":{"type":"numeric_atoms","value":4510,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3017,"base":16}}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1292,"base":16},"right_expr":{"type":"numeric_atoms","value":2309,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1428,"base":16},"right_expr":{"type":"numeric_atoms","value":4661,"base":16}}}}},"used_operators":["uFcxV4UQCh","2DlMacCsIx","Tw270M8GLb","sdazOOVcIp","XPYlsWDdGa","14qkJME0vr","z63VuFQld9","Ph9nP6C5qx","mp7IySMOzn","bJkvcejdHO"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","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=3050","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=3050, right_input=4510, 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=-2818","layer":3},{"info":"compute unary expreesion, input=-2818, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=3017","layer":4},{"info":"compute unary expreesion, input=3017, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-9130","layer":3},{"info":"compute unary expreesion, input=-9130, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-18260","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-18260, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=1292","layer":4},{"info":"number node, value=2309","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=2309, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4618","layer":3},{"info":"number node, value=1428","layer":4},{"info":"number node, value=4661","layer":4},{"info":"compute binary expreesion, left_input=1428, right_input=4661, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=369379","layer":3},{"info":"compute binary expreesion, left_input=4618, right_input=369379, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=368906","layer":2},{"info":"compute unary expreesion, input=368906, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤(∃⊬BEA⪨≂∃⊬119E))⩨(⪲⇎(∃⊬BC9⊦⊿)))⪛((∃⊬50C⇷∃⊬905≧⫂∧(∃⊬594≎⊠⪸∃⊬1235))∧)=NaN","reverse_text":"NaN=((⨰⫟⨤(∃⊬BEA⪨≂∃⊬119E))⩨(⪲⇎(∃⊬BC9⊦⊿)))⪛((∃⊬50C⇷∃⊬905≧⫂∧(∃⊬594≎⊠⪸∃⊬1235))∧)","cot":[{"info":"∃⊬BEA⪨≂∃⊬119E=∃⊬-B02","layer":3},{"info":"⨰⫟⨤∃⊬-B02=NaN","layer":2},{"info":"∃⊬BC9⊦⊿=∃⊬-23AA","layer":3},{"info":"⪲⇎∃⊬-23AA=∃⊬-4754","layer":2},{"info":"NaN⩨∃⊬-4754=NaN","layer":1},{"info":"∃⊬50C⇷∃⊬905=∃⊬120A","layer":3},{"info":"∃⊬594≎⊠⪸∃⊬1235=∃⊬5A2E3","layer":3},{"info":"∃⊬120A≧⫂∧∃⊬5A2E3=∃⊬5A10A","layer":2},{"info":"∃⊬5A10A∧=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":602,"expression_no_base_symbol":"($3239$⪒$1935$)∀⇚≩($1830$⫥∨⫟$1137$)⊭↱(↔($3259$↪⪝))*(($1873$⇼⇔∾$1120$⪒$1248$%$1202$)⩨($2276$+⇶⊼$2154$)⨓(⋗⩬⋾$7097$))","expression":"(∃⊬CA7⪒∃⊬78F)∀⇚≩(∃⊬726⫥∨⫟∃⊬471)⊭↱(↔(∃⊬CBB↪⪝))*((∃⊬751⇼⇔∾∃⊬460⪒∃⊬4E0%∃⊬4B2)⩨(∃⊬8E4+⇶⊼∃⊬86A)⨓(⋗⩬⋾∃⊬1BB9))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":58429,"operation_count":14,"complexity_ratio":4173.5,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3239,"base":16},"right_expr":{"type":"numeric_atoms","value":1935,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1830,"base":16},"right_expr":{"type":"numeric_atoms","value":1137,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3259,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1873,"base":16},"right_expr":{"type":"numeric_atoms","value":1120,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1248,"base":16},"right_expr":{"type":"numeric_atoms","value":1202,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2276,"base":16},"right_expr":{"type":"numeric_atoms","value":2154,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":7097,"base":16}}}}},"used_operators":["9HNa5Wba9A","COABgblf1C","LRNGc0VcxI","f6k1SAg4EE","KYD54nUTWz","ruOEQAzv1W","l07mrZUIn9","2DlMacCsIx","tifHPKVTfV","k8jYdgA6NY","3ViojmjbAp","TpPTUOHfaN","DpFCA1CohY"],"dependent_operators":["W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","9HNa5Wba9A","2DDjHMKMc0","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3239","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=3239, right_input=1935, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5174","layer":3},{"info":"number node, value=1830","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1830, right_input=1137, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5174, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3259","layer":4},{"info":"compute unary expreesion, input=3259, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=199392138","layer":3},{"info":"compute unary expreesion, input=199392138, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-199391865","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-199391865, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"number node, value=1873","layer":4},{"info":"number node, value=1120","layer":4},{"info":"compute binary expreesion, left_input=1873, right_input=1120, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-753","layer":3},{"info":"number node, value=1248","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=1248, right_input=1202, op_id = k8jYdgA6NY binary_op_definition= 'None', output=46","layer":3},{"info":"compute binary expreesion, left_input=-753, right_input=46, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=707","layer":2},{"info":"number node, value=2276","layer":4},{"info":"number node, value=2154","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=2154, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7097","layer":4},{"info":"compute unary expreesion, input=7097, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-21291","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21291, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-21294","layer":2},{"info":"compute binary expreesion, left_input=707, right_input=-21294, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=93","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=93, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CA7⪒∃⊬78F)∀⇚≩(∃⊬726⫥∨⫟∃⊬471)⊭↱(↔(∃⊬CBB↪⪝))*((∃⊬751⇼⇔∾∃⊬460⪒∃⊬4E0%∃⊬4B2)⩨(∃⊬8E4+⇶⊼∃⊬86A)⨓(⋗⩬⋾∃⊬1BB9))=NaN","reverse_text":"NaN=(∃⊬CA7⪒∃⊬78F)∀⇚≩(∃⊬726⫥∨⫟∃⊬471)⊭↱(↔(∃⊬CBB↪⪝))*((∃⊬751⇼⇔∾∃⊬460⪒∃⊬4E0%∃⊬4B2)⩨(∃⊬8E4+⇶⊼∃⊬86A)⨓(⋗⩬⋾∃⊬1BB9))","cot":[{"info":"∃⊬CA7⪒∃⊬78F=∃⊬-1436","layer":3},{"info":"∃⊬726⫥∨⫟∃⊬471=NaN","layer":3},{"info":"∃⊬-1436∀⇚≩NaN=NaN","layer":2},{"info":"∃⊬CBB↪⪝=∃⊬BE27B8A","layer":3},{"info":"↔∃⊬BE27B8A=∃⊬-BE27A79","layer":2},{"info":"NaN⊭↱∃⊬-BE27A79=NaN","layer":1},{"info":"∃⊬751⇼⇔∾∃⊬460=∃⊬-2F1","layer":3},{"info":"∃⊬4E0%∃⊬4B2=∃⊬2E","layer":3},{"info":"∃⊬-2F1⪒∃⊬2E=∃⊬2C3","layer":2},{"info":"∃⊬8E4+⇶⊼∃⊬86A=NaN","layer":3},{"info":"⋗⩬⋾∃⊬1BB9=∃⊬-532B","layer":3},{"info":"NaN⨓∃⊬-532B=∃⊬-532E","layer":2},{"info":"∃⊬2C3⩨∃⊬-532E=∃⊬5D","layer":1},{"info":"NaN*∃⊬5D=NaN","layer":0}]}
{"id":603,"expression_no_base_symbol":"⊙↵-((($7172$/$1260$)↬($2508$⋷$1556$))⪛(($1985$⋫)⊭↱($6903$⊘)))","expression":"⊙↵-(((∃⊬1C04/∃⊬4EC)↬(∃⊬9CC⋷∃⊬614))⪛((∃⊬7C1⋫)⊭↱(∃⊬1AF7⊘)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4979,"operation_count":8,"complexity_ratio":622.375,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":7172,"base":16},"right_expr":{"type":"numeric_atoms","value":1260,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2508,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1985,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6903,"base":16}}}}},"used_operators":["oWn0xqSxBt","uFcxV4UQCh","B5M0gjZbta","XhwjNDsVaA","23Mk6UjR3U","COABgblf1C","JL8yIekQnl","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7172","layer":4},{"info":"number node, value=1260","layer":4},{"info":"compute binary expreesion, left_input=7172, right_input=1260, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"number node, value=2508","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=2508, right_input=1556, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=604","layer":3},{"info":"compute binary expreesion, left_input=5, right_input=604, 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=0","layer":2},{"info":"number node, value=1985","layer":4},{"info":"compute unary expreesion, input=1985, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1985","layer":3},{"info":"number node, value=6903","layer":4},{"info":"compute unary expreesion, input=6903, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1985, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3965","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-3965, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(((∃⊬1C04/∃⊬4EC)↬(∃⊬9CC⋷∃⊬614))⪛((∃⊬7C1⋫)⊭↱(∃⊬1AF7⊘)))=∃⊬0","reverse_text":"∃⊬0=⊙↵-(((∃⊬1C04/∃⊬4EC)↬(∃⊬9CC⋷∃⊬614))⪛((∃⊬7C1⋫)⊭↱(∃⊬1AF7⊘)))","cot":[{"info":"∃⊬1C04/∃⊬4EC=∃⊬5","layer":3},{"info":"∃⊬9CC⋷∃⊬614=∃⊬25C","layer":3},{"info":"∃⊬5↬∃⊬25C=∃⊬0","layer":2},{"info":"∃⊬7C1⋫=∃⊬7C1","layer":3},{"info":"∃⊬1AF7⊘=∃⊬0","layer":3},{"info":"∃⊬7C1⊭↱∃⊬0=∃⊬-F7D","layer":2},{"info":"∃⊬0⪛∃⊬-F7D=∃⊬0","layer":1},{"info":"⊙↵-∃⊬0=∃⊬0","layer":0}]}
{"id":604,"expression_no_base_symbol":"≉(⨑⩽⪐($4125$↬$2219$⪨≂$2747$⊉≛↸$2186$))","expression":"≉(⨑⩽⪐(∃⊬101D↬∃⊬8AB⪨≂∃⊬ABB⊉≛↸∃⊬88A))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":16,"operation_count":5,"complexity_ratio":3.2,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4125,"base":16},"right_expr":{"type":"numeric_atoms","value":2219,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2747,"base":16},"right_expr":{"type":"numeric_atoms","value":2186,"base":16}}}}},"used_operators":["e1ybzncUwg","AF7qkfDlqP","sdazOOVcIp","B5M0gjZbta","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4125","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=4125, right_input=2219, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2747","layer":4},{"info":"number node, value=2186","layer":4},{"info":"compute binary expreesion, left_input=2747, right_input=2186, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5494","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5494, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉(⨑⩽⪐(∃⊬101D↬∃⊬8AB⪨≂∃⊬ABB⊉≛↸∃⊬88A))=NaN","reverse_text":"NaN=≉(⨑⩽⪐(∃⊬101D↬∃⊬8AB⪨≂∃⊬ABB⊉≛↸∃⊬88A))","cot":[{"info":"∃⊬101D↬∃⊬8AB=NaN","layer":3},{"info":"∃⊬ABB⊉≛↸∃⊬88A=∃⊬1576","layer":3},{"info":"NaN⪨≂∃⊬1576=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":605,"expression_no_base_symbol":"($3819$⫥∨⫟$2700$⫸⊐$4453$⨽$2486$+$1197$⪘⫢$1002$↺$1324$≧⫂∧$7087$)⪢((⊥(⩦⩻⨪$1169$))⪒$4790$⊴$3438$⪒$1035$⊭↱$1125$)","expression":"(∃⊬EEB⫥∨⫟∃⊬A8C⫸⊐∃⊬1165⨽∃⊬9B6+∃⊬4AD⪘⫢∃⊬3EA↺∃⊬52C≧⫂∧∃⊬1BAF)⪢((⊥(⩦⩻⨪∃⊬491))⪒∃⊬12B6⊴∃⊬D6E⪒∃⊬40B⊭↱∃⊬465)","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":9233,"operation_count":14,"complexity_ratio":659.5,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3819,"base":16},"right_expr":{"type":"numeric_atoms","value":2700,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4453,"base":16},"right_expr":{"type":"numeric_atoms","value":2486,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1197,"base":16},"right_expr":{"type":"numeric_atoms","value":1002,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1324,"base":16},"right_expr":{"type":"numeric_atoms","value":7087,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1169,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4790,"base":16},"right_expr":{"type":"numeric_atoms","value":3438,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1035,"base":16},"right_expr":{"type":"numeric_atoms","value":1125,"base":16}}}}},"used_operators":["dWAJyo7jo9","W4YGzv6Whe","mqXw5SEYmG","KYD54nUTWz","8HhzD0ZcuI","7j4O788W3g","oacrs7FA3X","Ph9nP6C5qx","f6k1SAg4EE","Q3PJZHRvZv","2td37pGCOC","Nsiff2A1zJ","COABgblf1C"],"dependent_operators":["k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3819","layer":4},{"info":"number node, value=2700","layer":4},{"info":"compute binary expreesion, left_input=3819, right_input=2700, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4453","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=4453, right_input=2486, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-59493771","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-59493771, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1002","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1002, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2270","layer":3},{"info":"number node, value=1324","layer":4},{"info":"number node, value=7087","layer":4},{"info":"compute binary expreesion, left_input=1324, right_input=7087, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6614","layer":3},{"info":"compute binary expreesion, left_input=2270, right_input=6614, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=6614","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6614, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1169","layer":4},{"info":"compute unary expreesion, input=1169, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1169","layer":3},{"info":"compute unary expreesion, input=1169, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=4790","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=4790, right_input=3438, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1035","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=1035, right_input=1125, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=185","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=185, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬EEB⫥∨⫟∃⊬A8C⫸⊐∃⊬1165⨽∃⊬9B6+∃⊬4AD⪘⫢∃⊬3EA↺∃⊬52C≧⫂∧∃⊬1BAF)⪢((⊥(⩦⩻⨪∃⊬491))⪒∃⊬12B6⊴∃⊬D6E⪒∃⊬40B⊭↱∃⊬465)=NaN","reverse_text":"NaN=(∃⊬EEB⫥∨⫟∃⊬A8C⫸⊐∃⊬1165⨽∃⊬9B6+∃⊬4AD⪘⫢∃⊬3EA↺∃⊬52C≧⫂∧∃⊬1BAF)⪢((⊥(⩦⩻⨪∃⊬491))⪒∃⊬12B6⊴∃⊬D6E⪒∃⊬40B⊭↱∃⊬465)","cot":[{"info":"∃⊬EEB⫥∨⫟∃⊬A8C=NaN","layer":3},{"info":"∃⊬1165⨽∃⊬9B6=∃⊬-38BCD8B","layer":3},{"info":"NaN⫸⊐∃⊬-38BCD8B=NaN","layer":2},{"info":"∃⊬4AD⪘⫢∃⊬3EA=∃⊬8DE","layer":3},{"info":"∃⊬52C≧⫂∧∃⊬1BAF=∃⊬19D6","layer":3},{"info":"∃⊬8DE↺∃⊬19D6=∃⊬19D6","layer":2},{"info":"NaN+∃⊬19D6=NaN","layer":1},{"info":"⩦⩻⨪∃⊬491=∃⊬491","layer":3},{"info":"⊥∃⊬491=NaN","layer":2},{"info":"∃⊬12B6⊴∃⊬D6E=NaN","layer":3},{"info":"∃⊬40B⊭↱∃⊬465=∃⊬B9","layer":3},{"info":"NaN⪒∃⊬B9=NaN","layer":2},{"info":"NaN⪒NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":606,"expression_no_base_symbol":"((($1236$⪒$4562$)⊭↱$2902$∀⇚≩$1692$)⊭∹↮)⪄(($9491$-$3192$)⋥≓≎$3344$⋥≓≎$1879$⊠≄⫣)","expression":"(((∃⊬4D4⪒∃⊬11D2)⊭↱∃⊬B56∀⇚≩∃⊬69C)⊭∹↮)⪄((∃⊬2513-∃⊬C78)⋥≓≎∃⊬D10⋥≓≎∃⊬757⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":20363,"operation_count":9,"complexity_ratio":2262.5555555555557,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1236,"base":16},"right_expr":{"type":"numeric_atoms","value":4562,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2902,"base":16},"right_expr":{"type":"numeric_atoms","value":1692,"base":16}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":9491,"base":16},"right_expr":{"type":"numeric_atoms","value":3192,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3344,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}}}}},"used_operators":["SUmda5xLS4","xNBdhnnwKq","COABgblf1C","f6k1SAg4EE","LRNGc0VcxI","DIvbN7qnHd","Qy55tPpLXF","rysDP5nf3Z"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1236","layer":4},{"info":"number node, value=4562","layer":4},{"info":"compute binary expreesion, left_input=1236, right_input=4562, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5798","layer":3},{"info":"number node, value=2902","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=1692, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5798, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":1},{"info":"number node, value=9491","layer":4},{"info":"number node, value=3192","layer":4},{"info":"compute binary expreesion, left_input=9491, right_input=3192, op_id = rysDP5nf3Z binary_op_definition= 'None', output=6299","layer":3},{"info":"number node, value=3344","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=3344, right_input=1879, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=447","layer":3},{"info":"compute binary expreesion, left_input=6299, right_input=447, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-5372","layer":2},{"info":"compute unary expreesion, input=-5372, 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 = 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":"(((∃⊬4D4⪒∃⊬11D2)⊭↱∃⊬B56∀⇚≩∃⊬69C)⊭∹↮)⪄((∃⊬2513-∃⊬C78)⋥≓≎∃⊬D10⋥≓≎∃⊬757⊠≄⫣)=∃⊬F8B","reverse_text":"∃⊬F8B=(((∃⊬4D4⪒∃⊬11D2)⊭↱∃⊬B56∀⇚≩∃⊬69C)⊭∹↮)⪄((∃⊬2513-∃⊬C78)⋥≓≎∃⊬D10⋥≓≎∃⊬757⊠≄⫣)","cot":[{"info":"∃⊬4D4⪒∃⊬11D2=∃⊬-16A6","layer":3},{"info":"∃⊬B56∀⇚≩∃⊬69C=NaN","layer":3},{"info":"∃⊬-16A6⊭↱NaN=NaN","layer":2},{"info":"NaN⊭∹↮=NaN","layer":1},{"info":"∃⊬2513-∃⊬C78=∃⊬189B","layer":3},{"info":"∃⊬D10⋥≓≎∃⊬757=∃⊬1BF","layer":3},{"info":"∃⊬189B⋥≓≎∃⊬1BF=∃⊬-14FC","layer":2},{"info":"∃⊬-14FC⊠≄⫣=∃⊬0","layer":1},{"info":"NaN⪄∃⊬0=∃⊬F8B","layer":0}]}
{"id":607,"expression_no_base_symbol":"⫓⪴((↣≠⋷$6315$)⪮%⊝($3844$⋳⪒$1576$)/(⨈⫕$5606$≭$3427$))","expression":"⫓⪴((↣≠⋷∃⊬18AB)⪮%⊝(∃⊬F04⋳⪒∃⊬628)/(⨈⫕∃⊬15E6≭∃⊬D63))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":408,"operation_count":7,"complexity_ratio":58.285714285714285,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":6315,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3844,"base":16},"right_expr":{"type":"numeric_atoms","value":1576,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5606,"base":16},"right_expr":{"type":"numeric_atoms","value":3427,"base":16}}}}},"used_operators":["eLxqMNBOBk","XhwjNDsVaA","IWmyXbctLI","Asc51vEJeQ","12rbrZMWeM","megm06wKyl","rxpJgHHUmx"],"dependent_operators":["9HNa5Wba9A","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6315","layer":4},{"info":"compute unary expreesion, input=6315, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3844","layer":4},{"info":"number node, value=1576","layer":4},{"info":"compute binary expreesion, left_input=3844, right_input=1576, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5825","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5825, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=5606","layer":4},{"info":"number node, value=3427","layer":4},{"info":"compute binary expreesion, left_input=5606, right_input=3427, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', 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":"⫓⪴((↣≠⋷∃⊬18AB)⪮%⊝(∃⊬F04⋳⪒∃⊬628)/(⨈⫕∃⊬15E6≭∃⊬D63))=NaN","reverse_text":"NaN=⫓⪴((↣≠⋷∃⊬18AB)⪮%⊝(∃⊬F04⋳⪒∃⊬628)/(⨈⫕∃⊬15E6≭∃⊬D63))","cot":[{"info":"↣≠⋷∃⊬18AB=NaN","layer":3},{"info":"∃⊬F04⋳⪒∃⊬628=∃⊬16C1","layer":3},{"info":"NaN⪮%⊝∃⊬16C1=NaN","layer":2},{"info":"∃⊬15E6≭∃⊬D63=NaN","layer":3},{"info":"⨈⫕NaN=∃⊬-15","layer":2},{"info":"NaN/∃⊬-15=NaN","layer":1},{"info":"⫓⪴NaN=NaN","layer":0}]}
{"id":608,"expression_no_base_symbol":"(≤/(($1165$∸)⋷($2595$⊪)))⨓(($1307$⊴$4913$%$1057$⊴$1201$)⩤)","expression":"(≤/((∃⊬48D∸)⋷(∃⊬A23⊪)))⨓((∃⊬51B⊴∃⊬1331%∃⊬421⊴∃⊬4B1)⩤)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6348,"operation_count":9,"complexity_ratio":705.3333333333334,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1165,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2595,"base":16}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1307,"base":16},"right_expr":{"type":"numeric_atoms","value":4913,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1057,"base":16},"right_expr":{"type":"numeric_atoms","value":1201,"base":16}}}}},"used_operators":["3ViojmjbAp","eLAdDNolq6","23Mk6UjR3U","o20kRiQErp","zVYPLywUTj","Z2TMIBDE3Q","k8jYdgA6NY","Nsiff2A1zJ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1165","layer":4},{"info":"compute unary expreesion, input=1165, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-354","layer":2},{"info":"compute unary expreesion, input=-354, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=838","layer":1},{"info":"number node, value=1307","layer":4},{"info":"number node, value=4913","layer":4},{"info":"compute binary expreesion, left_input=1307, right_input=4913, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1201","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1201, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=838, 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":"(≤/((∃⊬48D∸)⋷(∃⊬A23⊪)))⨓((∃⊬51B⊴∃⊬1331%∃⊬421⊴∃⊬4B1)⩤)=NaN","reverse_text":"NaN=(≤/((∃⊬48D∸)⋷(∃⊬A23⊪)))⨓((∃⊬51B⊴∃⊬1331%∃⊬421⊴∃⊬4B1)⩤)","cot":[{"info":"∃⊬48D∸=∃⊬B1","layer":3},{"info":"∃⊬A23⊪=∃⊬0","layer":3},{"info":"∃⊬B1⋷∃⊬0=∃⊬-162","layer":2},{"info":"≤/∃⊬-162=∃⊬346","layer":1},{"info":"∃⊬51B⊴∃⊬1331=NaN","layer":3},{"info":"∃⊬421⊴∃⊬4B1=NaN","layer":3},{"info":"NaN%NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"∃⊬346⨓NaN=NaN","layer":0}]}
{"id":609,"expression_no_base_symbol":"≉(($3472$⩤)⩚⊴⇥($7027$⫸⊐$1432$)⪨≂($4275$⊦⊿)*$6206$⪢$2134$)","expression":"≉((∃⊬D90⩤)⩚⊴⇥(∃⊬1B73⫸⊐∃⊬598)⪨≂(∃⊬10B3⊦⊿)*∃⊬183E⪢∃⊬856)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5828,"operation_count":8,"complexity_ratio":728.5,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3472,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":7027,"base":16},"right_expr":{"type":"numeric_atoms","value":1432,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4275,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6206,"base":16},"right_expr":{"type":"numeric_atoms","value":2134,"base":16}}}}},"used_operators":["e1ybzncUwg","sdazOOVcIp","NTOWxs364D","Z2TMIBDE3Q","mqXw5SEYmG","9HNa5Wba9A","14qkJME0vr","dWAJyo7jo9"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3472","layer":4},{"info":"compute unary expreesion, input=3472, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3472","layer":3},{"info":"number node, value=7027","layer":4},{"info":"number node, value=1432","layer":4},{"info":"compute binary expreesion, left_input=7027, right_input=1432, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5603","layer":3},{"info":"compute binary expreesion, left_input=-3472, right_input=5603, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2252","layer":2},{"info":"number node, value=4275","layer":4},{"info":"compute unary expreesion, input=4275, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-12904","layer":3},{"info":"number node, value=6206","layer":4},{"info":"number node, value=2134","layer":4},{"info":"compute binary expreesion, left_input=6206, right_input=2134, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12904, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2252, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉((∃⊬D90⩤)⩚⊴⇥(∃⊬1B73⫸⊐∃⊬598)⪨≂(∃⊬10B3⊦⊿)*∃⊬183E⪢∃⊬856)=NaN","reverse_text":"NaN=≉((∃⊬D90⩤)⩚⊴⇥(∃⊬1B73⫸⊐∃⊬598)⪨≂(∃⊬10B3⊦⊿)*∃⊬183E⪢∃⊬856)","cot":[{"info":"∃⊬D90⩤=∃⊬-D90","layer":3},{"info":"∃⊬1B73⫸⊐∃⊬598=∃⊬15E3","layer":3},{"info":"∃⊬-D90⩚⊴⇥∃⊬15E3=∃⊬-8CC","layer":2},{"info":"∃⊬10B3⊦⊿=∃⊬-3268","layer":3},{"info":"∃⊬183E⪢∃⊬856=NaN","layer":3},{"info":"∃⊬-3268*NaN=NaN","layer":2},{"info":"∃⊬-8CC⪨≂NaN=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":610,"expression_no_base_symbol":"($1132$⊴$3227$⨓($1629$⪐)⨳⩥⨓$1097$∼$2445$≧⫂∧($3133$⨵⪆$1742$))⫥∨⫟((↣≠⋷$1157$)∀⇚≩(⇁⨣⪵$7375$)⊪)","expression":"(∃⊬46C⊴∃⊬C9B⨓(∃⊬65D⪐)⨳⩥⨓∃⊬449∼∃⊬98D≧⫂∧(∃⊬C3D⨵⪆∃⊬6CE))⫥∨⫟((↣≠⋷∃⊬485)∀⇚≩(⇁⨣⪵∃⊬1CCF)⊪)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6699,"operation_count":12,"complexity_ratio":558.25,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1132,"base":16},"right_expr":{"type":"numeric_atoms","value":3227,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1629,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1097,"base":16},"right_expr":{"type":"numeric_atoms","value":2445,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3133,"base":16},"right_expr":{"type":"numeric_atoms","value":1742,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1157,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":7375,"base":16}}}}},"used_operators":["KYD54nUTWz","nCS4ZIUYfx","3ViojmjbAp","Nsiff2A1zJ","eH2TOUuTDT","Ph9nP6C5qx","DyGG3AbaNP","2DQ55sFlQl","zVYPLywUTj","LRNGc0VcxI","Asc51vEJeQ","inkyxCbjAn"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"number node, value=3227","layer":4},{"info":"compute binary expreesion, left_input=1132, right_input=3227, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1629","layer":4},{"info":"compute unary expreesion, input=1629, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=3258","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3258, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3261","layer":2},{"info":"number node, value=1097","layer":4},{"info":"number node, value=2445","layer":4},{"info":"compute binary expreesion, left_input=1097, right_input=2445, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=1742","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=1742, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute binary expreesion, left_input=-3261, right_input=-313, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2948","layer":1},{"info":"number node, value=1157","layer":4},{"info":"compute unary expreesion, input=1157, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=7375","layer":4},{"info":"compute unary expreesion, input=7375, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2948, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬46C⊴∃⊬C9B⨓(∃⊬65D⪐)⨳⩥⨓∃⊬449∼∃⊬98D≧⫂∧(∃⊬C3D⨵⪆∃⊬6CE))⫥∨⫟((↣≠⋷∃⊬485)∀⇚≩(⇁⨣⪵∃⊬1CCF)⊪)=NaN","reverse_text":"NaN=(∃⊬46C⊴∃⊬C9B⨓(∃⊬65D⪐)⨳⩥⨓∃⊬449∼∃⊬98D≧⫂∧(∃⊬C3D⨵⪆∃⊬6CE))⫥∨⫟((↣≠⋷∃⊬485)∀⇚≩(⇁⨣⪵∃⊬1CCF)⊪)","cot":[{"info":"∃⊬46C⊴∃⊬C9B=NaN","layer":3},{"info":"∃⊬65D⪐=∃⊬CBA","layer":3},{"info":"NaN⨓∃⊬CBA=∃⊬-CBD","layer":2},{"info":"∃⊬449∼∃⊬98D=NaN","layer":3},{"info":"∃⊬C3D⨵⪆∃⊬6CE=∃⊬A0","layer":3},{"info":"NaN≧⫂∧∃⊬A0=∃⊬-139","layer":2},{"info":"∃⊬-CBD⨳⩥⨓∃⊬-139=∃⊬B84","layer":1},{"info":"↣≠⋷∃⊬485=NaN","layer":3},{"info":"⇁⨣⪵∃⊬1CCF=NaN","layer":3},{"info":"NaN∀⇚≩NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"∃⊬B84⫥∨⫟NaN=NaN","layer":0}]}
{"id":611,"expression_no_base_symbol":"(↽≂($4108$⪒$3361$))⊉≛↸(⨰⫟⨤(⫛⫱⨽$1825$))⊉≛↸(⫓⪴(($1345$↪⪝)⫡⨏($3467$≋⫹)))","expression":"(↽≂(∃⊬100C⪒∃⊬D21))⊉≛↸(⨰⫟⨤(⫛⫱⨽∃⊬721))⊉≛↸(⫓⪴((∃⊬541↪⪝)⫡⨏(∃⊬D8B≋⫹)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":411438901,"operation_count":10,"complexity_ratio":41143890.1,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4108,"base":16},"right_expr":{"type":"numeric_atoms","value":3361,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1825,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1345,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3467,"base":16}}}}},"used_operators":["DZ8iAZOCBD","u6S6b8DprG","f6k1SAg4EE","Tw270M8GLb","DlLNRPXxWL","eLxqMNBOBk","QMFrweE19q","l07mrZUIn9","N41Kp7NANJ"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬E968","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4108","layer":4},{"info":"number node, value=3361","layer":4},{"info":"compute binary expreesion, left_input=4108, right_input=3361, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7469","layer":3},{"info":"compute unary expreesion, input=-7469, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=14938","layer":2},{"info":"number node, value=1825","layer":4},{"info":"compute unary expreesion, input=1825, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":2},{"info":"compute binary expreesion, left_input=14938, right_input=4492662, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=29876","layer":1},{"info":"number node, value=1345","layer":4},{"info":"compute unary expreesion, input=1345, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=82289790","layer":3},{"info":"number node, value=3467","layer":4},{"info":"compute unary expreesion, input=3467, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-6934","layer":3},{"info":"compute binary expreesion, left_input=82289790, right_input=-6934, 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=411435865","layer":2},{"info":"compute unary expreesion, input=411435865, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=inf","layer":1},{"info":"compute binary expreesion, left_input=29876, right_input=inf, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=59752","layer":0}],"base":16,"result_base":16,"text":"(↽≂(∃⊬100C⪒∃⊬D21))⊉≛↸(⨰⫟⨤(⫛⫱⨽∃⊬721))⊉≛↸(⫓⪴((∃⊬541↪⪝)⫡⨏(∃⊬D8B≋⫹)))=∃⊬E968","reverse_text":"∃⊬E968=(↽≂(∃⊬100C⪒∃⊬D21))⊉≛↸(⨰⫟⨤(⫛⫱⨽∃⊬721))⊉≛↸(⫓⪴((∃⊬541↪⪝)⫡⨏(∃⊬D8B≋⫹)))","cot":[{"info":"∃⊬100C⪒∃⊬D21=∃⊬-1D2D","layer":3},{"info":"↽≂∃⊬-1D2D=∃⊬3A5A","layer":2},{"info":"⫛⫱⨽∃⊬721=∃⊬0","layer":3},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":2},{"info":"∃⊬3A5A⊉≛↸∃⊬448D76=∃⊬74B4","layer":1},{"info":"∃⊬541↪⪝=∃⊬4E7A47E","layer":3},{"info":"∃⊬D8B≋⫹=∃⊬-1B16","layer":3},{"info":"∃⊬4E7A47E⫡⨏∃⊬-1B16=∃⊬18860359","layer":2},{"info":"⫓⪴∃⊬18860359=Inf","layer":1},{"info":"∃⊬74B4⊉≛↸Inf=∃⊬E968","layer":0}]}
{"id":612,"expression_no_base_symbol":"⋗⩬⋾((↔$3184$)∸)⨓($3951$∼$2805$⨁⊸⫻)","expression":"⋗⩬⋾((↔∃⊬C70)∸)⨓(∃⊬F6F∼∃⊬AF5⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":274,"operation_count":6,"complexity_ratio":45.666666666666664,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3184,"base":16}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3951,"base":16},"right_expr":{"type":"numeric_atoms","value":2805,"base":16}}}}},"used_operators":["DpFCA1CohY","3ViojmjbAp","o20kRiQErp","ruOEQAzv1W","glklzrTFfD","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","tmPS8pqC7x","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3184","layer":4},{"info":"compute unary expreesion, input=3184, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2911","layer":3},{"info":"compute unary expreesion, input=-2911, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3951","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=3951, right_input=2805, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"⋗⩬⋾((↔∃⊬C70)∸)⨓(∃⊬F6F∼∃⊬AF5⨁⊸⫻)=NaN","reverse_text":"NaN=⋗⩬⋾((↔∃⊬C70)∸)⨓(∃⊬F6F∼∃⊬AF5⨁⊸⫻)","cot":[{"info":"↔∃⊬C70=∃⊬-B5F","layer":3},{"info":"∃⊬-B5F∸=∃⊬B1","layer":2},{"info":"∃⊬F6F∼∃⊬AF5=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"∃⊬B1⨓NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":613,"expression_no_base_symbol":"(∥⊫$7692$⨎$7406$)≹⇙⪍($2840$⨳⩥⨓$4222$⋷(↣≠⋷$1145$))⫩⊇","expression":"(∥⊫∃⊬1E0C⨎∃⊬1CEE)≹⇙⪍(∃⊬B18⨳⩥⨓∃⊬107E⋷(↣≠⋷∃⊬479))⫩⊇","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17,"operation_count":7,"complexity_ratio":2.4285714285714284,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7692,"base":16},"right_expr":{"type":"numeric_atoms","value":7406,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2840,"base":16},"right_expr":{"type":"numeric_atoms","value":4222,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1145,"base":16}}}}},"used_operators":["BjRHVeLaeN","AHs5Up7iyr","P8v4zCKN1o","rJVOvQCfKK","23Mk6UjR3U","nCS4ZIUYfx","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7692","layer":4},{"info":"number node, value=7406","layer":4},{"info":"compute binary expreesion, left_input=7692, right_input=7406, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7406","layer":3},{"info":"compute unary expreesion, input=7406, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=8274","layer":2},{"info":"number node, value=2840","layer":4},{"info":"number node, value=4222","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=4222, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1382","layer":3},{"info":"number node, value=1145","layer":4},{"info":"compute unary expreesion, input=1145, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1382, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8274, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∥⊫∃⊬1E0C⨎∃⊬1CEE)≹⇙⪍(∃⊬B18⨳⩥⨓∃⊬107E⋷(↣≠⋷∃⊬479))⫩⊇=NaN","reverse_text":"NaN=(∥⊫∃⊬1E0C⨎∃⊬1CEE)≹⇙⪍(∃⊬B18⨳⩥⨓∃⊬107E⋷(↣≠⋷∃⊬479))⫩⊇","cot":[{"info":"∃⊬1E0C⨎∃⊬1CEE=∃⊬1CEE","layer":3},{"info":"∥⊫∃⊬1CEE=∃⊬2052","layer":2},{"info":"∃⊬B18⨳⩥⨓∃⊬107E=∃⊬566","layer":3},{"info":"↣≠⋷∃⊬479=NaN","layer":3},{"info":"∃⊬566⋷NaN=NaN","layer":2},{"info":"∃⊬2052≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⫩⊇=NaN","layer":0}]}
{"id":614,"expression_no_base_symbol":"($1288$⋷$6899$)⨰($4751$⩷∴$2586$)⋥≓≎(⫛⫱⨽(⊙↵-$5934$))⇼⇔∾($6741$⊠≄⫣)⪛($3849$⨪↰⇹$1316$)≧⫂∧($3112$⨎$4218$)⇷($3335$≭$3142$)","expression":"(∃⊬508⋷∃⊬1AF3)⨰(∃⊬128F⩷∴∃⊬A1A)⋥≓≎(⫛⫱⨽(⊙↵-∃⊬172E))⇼⇔∾(∃⊬1A55⊠≄⫣)⪛(∃⊬F09⨪↰⇹∃⊬524)≧⫂∧(∃⊬C28⨎∃⊬107A)⇷(∃⊬D07≭∃⊬C46)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":70013,"operation_count":14,"complexity_ratio":5000.928571428572,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1288,"base":16},"right_expr":{"type":"numeric_atoms","value":6899,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4751,"base":16},"right_expr":{"type":"numeric_atoms","value":2586,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5934,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":6741,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3849,"base":16},"right_expr":{"type":"numeric_atoms","value":1316,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3112,"base":16},"right_expr":{"type":"numeric_atoms","value":4218,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3335,"base":16},"right_expr":{"type":"numeric_atoms","value":3142,"base":16}}}}},"used_operators":["tifHPKVTfV","Qy55tPpLXF","eewbuw0ToL","23Mk6UjR3U","9FxExcQeMw","DlLNRPXxWL","oWn0xqSxBt","Ph9nP6C5qx","uFcxV4UQCh","DIvbN7qnHd","tmPS8pqC7x","mp7IySMOzn","rJVOvQCfKK","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1288","layer":4},{"info":"number node, value=6899","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=6899, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=12510","layer":3},{"info":"number node, value=4751","layer":4},{"info":"number node, value=2586","layer":4},{"info":"compute binary expreesion, left_input=4751, right_input=2586, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4298","layer":3},{"info":"compute binary expreesion, left_input=12510, right_input=4298, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8222","layer":2},{"info":"number node, value=5934","layer":4},{"info":"compute unary expreesion, input=5934, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=8222, right_input=0, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-8189","layer":1},{"info":"number node, value=6741","layer":4},{"info":"compute unary expreesion, input=6741, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=3849","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=1316, 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=3849","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3849, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=3112","layer":4},{"info":"number node, value=4218","layer":4},{"info":"compute binary expreesion, left_input=3112, right_input=4218, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4218","layer":3},{"info":"number node, value=3335","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=3335, right_input=3142, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4218, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=-8189, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬508⋷∃⊬1AF3)⨰(∃⊬128F⩷∴∃⊬A1A)⋥≓≎(⫛⫱⨽(⊙↵-∃⊬172E))⇼⇔∾(∃⊬1A55⊠≄⫣)⪛(∃⊬F09⨪↰⇹∃⊬524)≧⫂∧(∃⊬C28⨎∃⊬107A)⇷(∃⊬D07≭∃⊬C46)=NaN","reverse_text":"NaN=(∃⊬508⋷∃⊬1AF3)⨰(∃⊬128F⩷∴∃⊬A1A)⋥≓≎(⫛⫱⨽(⊙↵-∃⊬172E))⇼⇔∾(∃⊬1A55⊠≄⫣)⪛(∃⊬F09⨪↰⇹∃⊬524)≧⫂∧(∃⊬C28⨎∃⊬107A)⇷(∃⊬D07≭∃⊬C46)","cot":[{"info":"∃⊬508⋷∃⊬1AF3=∃⊬30DE","layer":3},{"info":"∃⊬128F⩷∴∃⊬A1A=∃⊬10CA","layer":3},{"info":"∃⊬30DE⨰∃⊬10CA=∃⊬201E","layer":2},{"info":"⊙↵-∃⊬172E=∃⊬-1","layer":3},{"info":"⫛⫱⨽∃⊬-1=∃⊬0","layer":2},{"info":"∃⊬201E⋥≓≎∃⊬0=∃⊬-1FFD","layer":1},{"info":"∃⊬1A55⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬F09⨪↰⇹∃⊬524=∃⊬F09","layer":3},{"info":"∃⊬0⪛∃⊬F09=∃⊬0","layer":2},{"info":"∃⊬C28⨎∃⊬107A=∃⊬107A","layer":3},{"info":"∃⊬D07≭∃⊬C46=NaN","layer":3},{"info":"∃⊬107A⇷NaN=NaN","layer":2},{"info":"∃⊬0≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬-1FFD⇼⇔∾NaN=NaN","layer":0}]}
{"id":615,"expression_no_base_symbol":"($1378$⨸⪁$1205$)∀⇚≩($1085$↺$2225$)↺($4301$⫥∨⫟$1503$)∑⇟⊟(∂$5041$)⨳⩥⨓(($2086$⨐⩸⫘$1644$)⋥≓≎(⋗⩬⋾$1691$))⨟⋌⩍(($4228$+⇶⊼$1743$)⨰($2749$⊉≛↸$4099$))","expression":"(∃⊬562⨸⪁∃⊬4B5)∀⇚≩(∃⊬43D↺∃⊬8B1)↺(∃⊬10CD⫥∨⫟∃⊬5DF)∑⇟⊟(∂∃⊬13B1)⨳⩥⨓((∃⊬826⨐⩸⫘∃⊬66C)⋥≓≎(⋗⩬⋾∃⊬69B))⨟⋌⩍((∃⊬1084+⇶⊼∃⊬6CF)⨰(∃⊬ABD⊉≛↸∃⊬1003))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":36344,"operation_count":15,"complexity_ratio":2422.9333333333334,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1378,"base":16},"right_expr":{"type":"numeric_atoms","value":1205,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1085,"base":16},"right_expr":{"type":"numeric_atoms","value":2225,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4301,"base":16},"right_expr":{"type":"numeric_atoms","value":1503,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5041,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2086,"base":16},"right_expr":{"type":"numeric_atoms","value":1644,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1691,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4228,"base":16},"right_expr":{"type":"numeric_atoms","value":1743,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2749,"base":16},"right_expr":{"type":"numeric_atoms","value":4099,"base":16}}}}},"used_operators":["nCS4ZIUYfx","7j4O788W3g","LRNGc0VcxI","g55IO6H4Gj","U7g4x0WXJJ","KYD54nUTWz","Uaa54Peajs","rGHVDoGpnC","Qy55tPpLXF","fu6greOZ01","DpFCA1CohY","eewbuw0ToL","TpPTUOHfaN","DZ8iAZOCBD"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1378","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=1378, right_input=1205, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5166","layer":3},{"info":"number node, value=1085","layer":4},{"info":"number node, value=2225","layer":4},{"info":"compute binary expreesion, left_input=1085, right_input=2225, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2225","layer":3},{"info":"compute binary expreesion, left_input=5166, right_input=2225, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4301","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=4301, right_input=1503, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5041","layer":4},{"info":"compute unary expreesion, input=5041, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=2086","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=2086, right_input=1644, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1691","layer":4},{"info":"compute unary expreesion, input=1691, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5073","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5073, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=4228","layer":4},{"info":"number node, value=1743","layer":4},{"info":"compute binary expreesion, left_input=4228, right_input=1743, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2749","layer":4},{"info":"number node, value=4099","layer":4},{"info":"compute binary expreesion, left_input=2749, right_input=4099, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5498","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=5498, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"(∃⊬562⨸⪁∃⊬4B5)∀⇚≩(∃⊬43D↺∃⊬8B1)↺(∃⊬10CD⫥∨⫟∃⊬5DF)∑⇟⊟(∂∃⊬13B1)⨳⩥⨓((∃⊬826⨐⩸⫘∃⊬66C)⋥≓≎(⋗⩬⋾∃⊬69B))⨟⋌⩍((∃⊬1084+⇶⊼∃⊬6CF)⨰(∃⊬ABD⊉≛↸∃⊬1003))=NaN","reverse_text":"NaN=(∃⊬562⨸⪁∃⊬4B5)∀⇚≩(∃⊬43D↺∃⊬8B1)↺(∃⊬10CD⫥∨⫟∃⊬5DF)∑⇟⊟(∂∃⊬13B1)⨳⩥⨓((∃⊬826⨐⩸⫘∃⊬66C)⋥≓≎(⋗⩬⋾∃⊬69B))⨟⋌⩍((∃⊬1084+⇶⊼∃⊬6CF)⨰(∃⊬ABD⊉≛↸∃⊬1003))","cot":[{"info":"∃⊬562⨸⪁∃⊬4B5=∃⊬142E","layer":3},{"info":"∃⊬43D↺∃⊬8B1=∃⊬8B1","layer":3},{"info":"∃⊬142E∀⇚≩∃⊬8B1=NaN","layer":2},{"info":"∃⊬10CD⫥∨⫟∃⊬5DF=NaN","layer":3},{"info":"∂∃⊬13B1=NaN","layer":3},{"info":"NaN∑⇟⊟NaN=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"∃⊬826⨐⩸⫘∃⊬66C=NaN","layer":3},{"info":"⋗⩬⋾∃⊬69B=∃⊬-13D1","layer":3},{"info":"NaN⋥≓≎∃⊬-13D1=∃⊬43","layer":2},{"info":"∃⊬1084+⇶⊼∃⊬6CF=NaN","layer":3},{"info":"∃⊬ABD⊉≛↸∃⊬1003=∃⊬157A","layer":3},{"info":"NaN⨰∃⊬157A=NaN","layer":2},{"info":"∃⊬43⨟⋌⩍NaN=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":616,"expression_no_base_symbol":"(($3346$≧⫂∧$1316$-$1535$⨐⩸⫘$2453$)⨸⪁($1221$⨸⪁$1172$⨵⪆($5169$⊘)))⨓(↩(⨰⫟⨤$2860$)⨓(↣≠⋷$3544$))","expression":"((∃⊬D12≧⫂∧∃⊬524-∃⊬5FF⨐⩸⫘∃⊬995)⨸⪁(∃⊬4C5⨸⪁∃⊬494⨵⪆(∃⊬1431⊘)))⨓(↩(⨰⫟⨤∃⊬B2C)⨓(↣≠⋷∃⊬DD8))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10665,"operation_count":12,"complexity_ratio":888.75,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3346,"base":16},"right_expr":{"type":"numeric_atoms","value":1316,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1535,"base":16},"right_expr":{"type":"numeric_atoms","value":2453,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1221,"base":16},"right_expr":{"type":"numeric_atoms","value":1172,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":5169,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2860,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3544,"base":16}}}}},"used_operators":["3ViojmjbAp","g55IO6H4Gj","rysDP5nf3Z","Ph9nP6C5qx","fu6greOZ01","2DQ55sFlQl","gu96TGCTMs","jLgFTUHLKL","Tw270M8GLb","Asc51vEJeQ"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3346","layer":4},{"info":"number node, value=1316","layer":4},{"info":"compute binary expreesion, left_input=3346, right_input=1316, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=843","layer":3},{"info":"number node, value=1535","layer":4},{"info":"number node, value=2453","layer":4},{"info":"compute binary expreesion, left_input=1535, right_input=2453, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=843, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1221","layer":4},{"info":"number node, value=1172","layer":4},{"info":"compute binary expreesion, left_input=1221, right_input=1172, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4786","layer":3},{"info":"number node, value=5169","layer":4},{"info":"compute unary expreesion, input=5169, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4786, right_input=0, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=2860","layer":4},{"info":"compute unary expreesion, input=2860, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3544","layer":4},{"info":"compute unary expreesion, input=3544, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬D12≧⫂∧∃⊬524-∃⊬5FF⨐⩸⫘∃⊬995)⨸⪁(∃⊬4C5⨸⪁∃⊬494⨵⪆(∃⊬1431⊘)))⨓(↩(⨰⫟⨤∃⊬B2C)⨓(↣≠⋷∃⊬DD8))=NaN","reverse_text":"NaN=((∃⊬D12≧⫂∧∃⊬524-∃⊬5FF⨐⩸⫘∃⊬995)⨸⪁(∃⊬4C5⨸⪁∃⊬494⨵⪆(∃⊬1431⊘)))⨓(↩(⨰⫟⨤∃⊬B2C)⨓(↣≠⋷∃⊬DD8))","cot":[{"info":"∃⊬D12≧⫂∧∃⊬524=∃⊬34B","layer":3},{"info":"∃⊬5FF⨐⩸⫘∃⊬995=NaN","layer":3},{"info":"∃⊬34B-NaN=NaN","layer":2},{"info":"∃⊬4C5⨸⪁∃⊬494=∃⊬12B2","layer":3},{"info":"∃⊬1431⊘=∃⊬0","layer":3},{"info":"∃⊬12B2⨵⪆∃⊬0=∃⊬A0","layer":2},{"info":"NaN⨸⪁∃⊬A0=NaN","layer":1},{"info":"⨰⫟⨤∃⊬B2C=NaN","layer":3},{"info":"↣≠⋷∃⊬DD8=NaN","layer":3},{"info":"NaN⨓NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN⨓NaN=NaN","layer":0}]}
{"id":617,"expression_no_base_symbol":"(⊄⩳↩(⫓⪴(⊙↵-$1410$)))⩨((($1014$⨎$3385$)⨰($8987$⪐))⊪)","expression":"(⊄⩳↩(⫓⪴(⊙↵-∃⊬582)))⩨(((∃⊬3F6⨎∃⊬D39)⨰(∃⊬231B⪐))⊪)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":709099891,"operation_count":8,"complexity_ratio":88637486.375,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1410,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1014,"base":16},"right_expr":{"type":"numeric_atoms","value":3385,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8987,"base":16}}}}},"used_operators":["2DlMacCsIx","8w2t5hMYqp","eLxqMNBOBk","oWn0xqSxBt","zVYPLywUTj","eewbuw0ToL","rJVOvQCfKK","eH2TOUuTDT"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬7EC9F25E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1410","layer":4},{"info":"compute unary expreesion, input=1410, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1","layer":2},{"info":"compute unary expreesion, input=1, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3","layer":1},{"info":"number node, value=1014","layer":4},{"info":"number node, value=3385","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=3385, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3385","layer":3},{"info":"number node, value=8987","layer":4},{"info":"compute unary expreesion, input=8987, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=17974","layer":3},{"info":"compute binary expreesion, left_input=3385, right_input=17974, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-14579","layer":2},{"info":"compute unary expreesion, input=-14579, 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=2127163996","layer":1},{"info":"compute binary expreesion, left_input=-3, right_input=2127163996, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=2127163998","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(⫓⪴(⊙↵-∃⊬582)))⩨(((∃⊬3F6⨎∃⊬D39)⨰(∃⊬231B⪐))⊪)=∃⊬7EC9F25E","reverse_text":"∃⊬7EC9F25E=(⊄⩳↩(⫓⪴(⊙↵-∃⊬582)))⩨(((∃⊬3F6⨎∃⊬D39)⨰(∃⊬231B⪐))⊪)","cot":[{"info":"⊙↵-∃⊬582=∃⊬-1","layer":3},{"info":"⫓⪴∃⊬-1=∃⊬1","layer":2},{"info":"⊄⩳↩∃⊬1=∃⊬-3","layer":1},{"info":"∃⊬3F6⨎∃⊬D39=∃⊬D39","layer":3},{"info":"∃⊬231B⪐=∃⊬4636","layer":3},{"info":"∃⊬D39⨰∃⊬4636=∃⊬-38F3","layer":2},{"info":"∃⊬-38F3⊪=∃⊬7EC9F25C","layer":1},{"info":"∃⊬-3⩨∃⊬7EC9F25C=∃⊬7EC9F25E","layer":0}]}
{"id":618,"expression_no_base_symbol":"(⊄⩳↩(↽≂($5676$⩨$1013$)))⋝⋈⪟($5867$⨓$4852$⫡⨏$4175$%$3398$)⊴(($2618$⪒$2679$)∑⇟⊟($2155$+⇶⊼$3677$))","expression":"(⊄⩳↩(↽≂(∃⊬162C⩨∃⊬3F5)))⋝⋈⪟(∃⊬16EB⨓∃⊬12F4⫡⨏∃⊬104F%∃⊬D46)⊴((∃⊬A3A⪒∃⊬A77)∑⇟⊟(∃⊬86B+⇶⊼∃⊬E5D))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4891,"operation_count":11,"complexity_ratio":444.6363636363636,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":5676,"base":16},"right_expr":{"type":"numeric_atoms","value":1013,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5867,"base":16},"right_expr":{"type":"numeric_atoms","value":4852,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4175,"base":16},"right_expr":{"type":"numeric_atoms","value":3398,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2618,"base":16},"right_expr":{"type":"numeric_atoms","value":2679,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2155,"base":16},"right_expr":{"type":"numeric_atoms","value":3677,"base":16}}}}},"used_operators":["2DDjHMKMc0","8w2t5hMYqp","u6S6b8DprG","2DlMacCsIx","Nsiff2A1zJ","QMFrweE19q","3ViojmjbAp","k8jYdgA6NY","U7g4x0WXJJ","f6k1SAg4EE","TpPTUOHfaN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5676","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=5676, right_input=1013, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":1},{"info":"number node, value=5867","layer":4},{"info":"number node, value=4852","layer":4},{"info":"compute binary expreesion, left_input=5867, right_input=4852, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4855","layer":3},{"info":"number node, value=4175","layer":4},{"info":"number node, value=3398","layer":4},{"info":"compute binary expreesion, left_input=4175, right_input=3398, op_id = k8jYdgA6NY binary_op_definition= 'None', output=777","layer":3},{"info":"compute binary expreesion, left_input=-4855, right_input=777, 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=-21938","layer":2},{"info":"number node, value=2618","layer":4},{"info":"number node, value=2679","layer":4},{"info":"compute binary expreesion, left_input=2618, right_input=2679, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5297","layer":3},{"info":"number node, value=2155","layer":4},{"info":"number node, value=3677","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=3677, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5297, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21938, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(↽≂(∃⊬162C⩨∃⊬3F5)))⋝⋈⪟(∃⊬16EB⨓∃⊬12F4⫡⨏∃⊬104F%∃⊬D46)⊴((∃⊬A3A⪒∃⊬A77)∑⇟⊟(∃⊬86B+⇶⊼∃⊬E5D))=NaN","reverse_text":"NaN=(⊄⩳↩(↽≂(∃⊬162C⩨∃⊬3F5)))⋝⋈⪟(∃⊬16EB⨓∃⊬12F4⫡⨏∃⊬104F%∃⊬D46)⊴((∃⊬A3A⪒∃⊬A77)∑⇟⊟(∃⊬86B+⇶⊼∃⊬E5D))","cot":[{"info":"∃⊬162C⩨∃⊬3F5=∃⊬0","layer":3},{"info":"↽≂∃⊬0=∃⊬0","layer":2},{"info":"⊄⩳↩∃⊬0=∃⊬0","layer":1},{"info":"∃⊬16EB⨓∃⊬12F4=∃⊬-12F7","layer":3},{"info":"∃⊬104F%∃⊬D46=∃⊬309","layer":3},{"info":"∃⊬-12F7⫡⨏∃⊬309=∃⊬-55B2","layer":2},{"info":"∃⊬A3A⪒∃⊬A77=∃⊬-14B1","layer":3},{"info":"∃⊬86B+⇶⊼∃⊬E5D=NaN","layer":3},{"info":"∃⊬-14B1∑⇟⊟NaN=NaN","layer":2},{"info":"∃⊬-55B2⊴NaN=NaN","layer":1},{"info":"∃⊬0⋝⋈⪟NaN=NaN","layer":0}]}
{"id":619,"expression_no_base_symbol":"$3724$⪛$1459$⩷∴($4037$⨸⪁$1088$)↙($3392$-$3610$)⫥∨⫟$3180$⨟⋌⩍$2320$≣⋋","expression":"∃⊬E8C⪛∃⊬5B3⩷∴(∃⊬FC5⨸⪁∃⊬440)↙(∃⊬D40-∃⊬E1A)⫥∨⫟∃⊬C6C⨟⋌⩍∃⊬910≣⋋","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":685,"operation_count":8,"complexity_ratio":85.625,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3724,"base":16},"right_expr":{"type":"numeric_atoms","value":1459,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4037,"base":16},"right_expr":{"type":"numeric_atoms","value":1088,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3392,"base":16},"right_expr":{"type":"numeric_atoms","value":3610,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3180,"base":16},"right_expr":{"type":"numeric_atoms","value":2320,"base":16}}}}},"used_operators":["Tcnh7f0tEr","yyfyN0ffXY","9FxExcQeMw","uFcxV4UQCh","g55IO6H4Gj","KYD54nUTWz","rysDP5nf3Z","rGHVDoGpnC"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3724","layer":4},{"info":"number node, value=1459","layer":4},{"info":"compute binary expreesion, left_input=3724, right_input=1459, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=806","layer":3},{"info":"number node, value=4037","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=4037, right_input=1088, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10250","layer":3},{"info":"compute binary expreesion, left_input=806, right_input=10250, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-18920","layer":2},{"info":"number node, value=3392","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=3610, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-218","layer":3},{"info":"number node, value=3180","layer":4},{"info":"number node, value=2320","layer":4},{"info":"compute binary expreesion, left_input=3180, right_input=2320, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-218, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18920, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-18920","layer":1},{"info":"compute unary expreesion, input=-18920, 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":"∃⊬E8C⪛∃⊬5B3⩷∴(∃⊬FC5⨸⪁∃⊬440)↙(∃⊬D40-∃⊬E1A)⫥∨⫟∃⊬C6C⨟⋌⩍∃⊬910≣⋋=∃⊬0","reverse_text":"∃⊬0=∃⊬E8C⪛∃⊬5B3⩷∴(∃⊬FC5⨸⪁∃⊬440)↙(∃⊬D40-∃⊬E1A)⫥∨⫟∃⊬C6C⨟⋌⩍∃⊬910≣⋋","cot":[{"info":"∃⊬E8C⪛∃⊬5B3=∃⊬326","layer":3},{"info":"∃⊬FC5⨸⪁∃⊬440=∃⊬280A","layer":3},{"info":"∃⊬326⩷∴∃⊬280A=∃⊬-49E8","layer":2},{"info":"∃⊬D40-∃⊬E1A=∃⊬-DA","layer":3},{"info":"∃⊬C6C⨟⋌⩍∃⊬910=NaN","layer":3},{"info":"∃⊬-DA⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬-49E8↙NaN=∃⊬-49E8","layer":1},{"info":"∃⊬-49E8≣⋋=∃⊬0","layer":0}]}
{"id":620,"expression_no_base_symbol":"↽≂((⊙↵-$7511$)∸)⋝⋈⪟($3307$⨎$1602$⩨(⨰⫟⨤$1731$))","expression":"↽≂((⊙↵-∃⊬1D57)∸)⋝⋈⪟(∃⊬CEB⨎∃⊬642⩨(⨰⫟⨤∃⊬6C3))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13829,"operation_count":7,"complexity_ratio":1975.5714285714287,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7511,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3307,"base":16},"right_expr":{"type":"numeric_atoms","value":1602,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1731,"base":16}}}}},"used_operators":["u6S6b8DprG","2DDjHMKMc0","o20kRiQErp","oWn0xqSxBt","2DlMacCsIx","rJVOvQCfKK","Tw270M8GLb"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7511","layer":4},{"info":"compute unary expreesion, input=7511, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute unary expreesion, input=-1, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=3307","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=3307, right_input=1602, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1602","layer":3},{"info":"number node, value=1731","layer":4},{"info":"compute unary expreesion, input=1731, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1602, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"↽≂((⊙↵-∃⊬1D57)∸)⋝⋈⪟(∃⊬CEB⨎∃⊬642⩨(⨰⫟⨤∃⊬6C3))=NaN","reverse_text":"NaN=↽≂((⊙↵-∃⊬1D57)∸)⋝⋈⪟(∃⊬CEB⨎∃⊬642⩨(⨰⫟⨤∃⊬6C3))","cot":[{"info":"⊙↵-∃⊬1D57=∃⊬-1","layer":3},{"info":"∃⊬-1∸=∃⊬B1","layer":2},{"info":"∃⊬CEB⨎∃⊬642=∃⊬642","layer":3},{"info":"⨰⫟⨤∃⊬6C3=NaN","layer":3},{"info":"∃⊬642⩨NaN=NaN","layer":2},{"info":"∃⊬B1⋝⋈⪟NaN=NaN","layer":1},{"info":"↽≂NaN=NaN","layer":0}]}
{"id":621,"expression_no_base_symbol":"(-$2181$⊴$7188$)⪢(($2162$⊪)∑⇟⊟$1066$⇷$4108$)↬($8607$⇷$2150$≎⊠⪸($4671$≭$1440$)⨎(($1481$⨵⪆$2963$)∲⫓$1285$⪒$1245$))","expression":"(-∃⊬885⊴∃⊬1C14)⪢((∃⊬872⊪)∑⇟⊟∃⊬42A⇷∃⊬100C)↬(∃⊬219F⇷∃⊬866≎⊠⪸(∃⊬123F≭∃⊬5A0)⨎((∃⊬5C9⨵⪆∃⊬B93)∲⫓∃⊬505⪒∃⊬4DD))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":142683,"operation_count":14,"complexity_ratio":10191.642857142857,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2181,"base":16},"right_expr":{"type":"numeric_atoms","value":7188,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2162,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1066,"base":16},"right_expr":{"type":"numeric_atoms","value":4108,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":8607,"base":16},"right_expr":{"type":"numeric_atoms","value":2150,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4671,"base":16},"right_expr":{"type":"numeric_atoms","value":1440,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1481,"base":16},"right_expr":{"type":"numeric_atoms","value":2963,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1285,"base":16},"right_expr":{"type":"numeric_atoms","value":1245,"base":16}}}}},"used_operators":["B5M0gjZbta","dWAJyo7jo9","t8gj7n24qd","Nsiff2A1zJ","U7g4x0WXJJ","zVYPLywUTj","mp7IySMOzn","rJVOvQCfKK","bJkvcejdHO","rxpJgHHUmx","i8ToyICDmI","2DQ55sFlQl","f6k1SAg4EE"],"dependent_operators":["rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2181","layer":4},{"info":"number node, value=7188","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=7188, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=2162","layer":4},{"info":"compute unary expreesion, input=2162, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1066","layer":4},{"info":"number node, value=4108","layer":4},{"info":"compute binary expreesion, left_input=1066, right_input=4108, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=8216","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8216, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=8607","layer":4},{"info":"number node, value=2150","layer":4},{"info":"compute binary expreesion, left_input=8607, right_input=2150, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4300","layer":3},{"info":"number node, value=4671","layer":4},{"info":"number node, value=1440","layer":4},{"info":"compute binary expreesion, left_input=4671, right_input=1440, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4300, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=1481","layer":4},{"info":"number node, value=2963","layer":4},{"info":"compute binary expreesion, left_input=1481, right_input=2963, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1285","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=1285, right_input=1245, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2530","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-2530, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(-∃⊬885⊴∃⊬1C14)⪢((∃⊬872⊪)∑⇟⊟∃⊬42A⇷∃⊬100C)↬(∃⊬219F⇷∃⊬866≎⊠⪸(∃⊬123F≭∃⊬5A0)⨎((∃⊬5C9⨵⪆∃⊬B93)∲⫓∃⊬505⪒∃⊬4DD))=NaN","reverse_text":"NaN=(-∃⊬885⊴∃⊬1C14)⪢((∃⊬872⊪)∑⇟⊟∃⊬42A⇷∃⊬100C)↬(∃⊬219F⇷∃⊬866≎⊠⪸(∃⊬123F≭∃⊬5A0)⨎((∃⊬5C9⨵⪆∃⊬B93)∲⫓∃⊬505⪒∃⊬4DD))","cot":[{"info":"∃⊬885⊴∃⊬1C14=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∃⊬872⊪=∃⊬0","layer":3},{"info":"∃⊬42A⇷∃⊬100C=∃⊬2018","layer":3},{"info":"∃⊬0∑⇟⊟∃⊬2018=NaN","layer":2},{"info":"NaN⪢NaN=NaN","layer":1},{"info":"∃⊬219F⇷∃⊬866=∃⊬10CC","layer":3},{"info":"∃⊬123F≭∃⊬5A0=NaN","layer":3},{"info":"∃⊬10CC≎⊠⪸NaN=∃⊬43","layer":2},{"info":"∃⊬5C9⨵⪆∃⊬B93=∃⊬A0","layer":3},{"info":"∃⊬505⪒∃⊬4DD=∃⊬-9E2","layer":3},{"info":"∃⊬A0∲⫓∃⊬-9E2=∃⊬A0","layer":2},{"info":"∃⊬43⨎∃⊬A0=∃⊬A0","layer":1},{"info":"NaN↬∃⊬A0=NaN","layer":0}]}
{"id":622,"expression_no_base_symbol":"∂(⨈⫕($4513$⋷$1478$⫡⨏$5865$⪢$1415$))","expression":"∂(⨈⫕(∃⊬11A1⋷∃⊬5C6⫡⨏∃⊬16E9⪢∃⊬587))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2353,"operation_count":5,"complexity_ratio":470.6,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4513,"base":16},"right_expr":{"type":"numeric_atoms","value":1478,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5865,"base":16},"right_expr":{"type":"numeric_atoms","value":1415,"base":16}}}}},"used_operators":["Uaa54Peajs","megm06wKyl","QMFrweE19q","23Mk6UjR3U","dWAJyo7jo9"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY"],"result":"∃⊬-F3","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4513","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=4513, right_input=1478, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1557","layer":3},{"info":"number node, value=5865","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=5865, right_input=1415, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1557, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = 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":"∂(⨈⫕(∃⊬11A1⋷∃⊬5C6⫡⨏∃⊬16E9⪢∃⊬587))=∃⊬-F3","reverse_text":"∃⊬-F3=∂(⨈⫕(∃⊬11A1⋷∃⊬5C6⫡⨏∃⊬16E9⪢∃⊬587))","cot":[{"info":"∃⊬11A1⋷∃⊬5C6=∃⊬-615","layer":3},{"info":"∃⊬16E9⪢∃⊬587=NaN","layer":3},{"info":"∃⊬-615⫡⨏NaN=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"∂∃⊬-15=∃⊬-F3","layer":0}]}
{"id":623,"expression_no_base_symbol":"((⨵≀≌($3150$⩨$7698$))⋷(⪲⇎($1349$∲⫓$2769$)))≧⫂∧(⨑⩽⪐$1469$≎⊠⪸$2469$)⪛(($1231$⊉≛↸$2030$)⨓($6161$+$1323$))","expression":"((⨵≀≌(∃⊬C4E⩨∃⊬1E12))⋷(⪲⇎(∃⊬545∲⫓∃⊬AD1)))≧⫂∧(⨑⩽⪐∃⊬5BD≎⊠⪸∃⊬9A5)⪛((∃⊬4CF⊉≛↸∃⊬7EE)⨓(∃⊬1811+∃⊬52B))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":7844,"operation_count":12,"complexity_ratio":653.6666666666666,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3150,"base":16},"right_expr":{"type":"numeric_atoms","value":7698,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1349,"base":16},"right_expr":{"type":"numeric_atoms","value":2769,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1469,"base":16},"right_expr":{"type":"numeric_atoms","value":2469,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1231,"base":16},"right_expr":{"type":"numeric_atoms","value":2030,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":6161,"base":16},"right_expr":{"type":"numeric_atoms","value":1323,"base":16}}}}},"used_operators":["Ph9nP6C5qx","23Mk6UjR3U","srAu1WTS94","2DlMacCsIx","XPYlsWDdGa","i8ToyICDmI","uFcxV4UQCh","AF7qkfDlqP","bJkvcejdHO","3ViojmjbAp","DZ8iAZOCBD","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬14B7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3150","layer":4},{"info":"number node, value=7698","layer":4},{"info":"compute binary expreesion, left_input=3150, right_input=7698, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute unary expreesion, input=-6, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=36","layer":2},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2769","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2769, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=36, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-72","layer":1},{"info":"number node, value=1469","layer":4},{"info":"number node, value=2469","layer":4},{"info":"compute binary expreesion, left_input=1469, right_input=2469, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=379998","layer":3},{"info":"compute unary expreesion, input=379998, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-379725","layer":2},{"info":"number node, value=1231","layer":4},{"info":"number node, value=2030","layer":4},{"info":"compute binary expreesion, left_input=1231, right_input=2030, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2462","layer":3},{"info":"number node, value=6161","layer":4},{"info":"number node, value=1323","layer":4},{"info":"compute binary expreesion, left_input=6161, right_input=1323, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7484","layer":3},{"info":"compute binary expreesion, left_input=2462, right_input=7484, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-7487","layer":2},{"info":"compute binary expreesion, left_input=-379725, right_input=-7487, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-5375","layer":1},{"info":"compute binary expreesion, left_input=-72, right_input=-5375, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5303","layer":0}],"base":16,"result_base":16,"text":"((⨵≀≌(∃⊬C4E⩨∃⊬1E12))⋷(⪲⇎(∃⊬545∲⫓∃⊬AD1)))≧⫂∧(⨑⩽⪐∃⊬5BD≎⊠⪸∃⊬9A5)⪛((∃⊬4CF⊉≛↸∃⊬7EE)⨓(∃⊬1811+∃⊬52B))=∃⊬14B7","reverse_text":"∃⊬14B7=((⨵≀≌(∃⊬C4E⩨∃⊬1E12))⋷(⪲⇎(∃⊬545∲⫓∃⊬AD1)))≧⫂∧(⨑⩽⪐∃⊬5BD≎⊠⪸∃⊬9A5)⪛((∃⊬4CF⊉≛↸∃⊬7EE)⨓(∃⊬1811+∃⊬52B))","cot":[{"info":"∃⊬C4E⩨∃⊬1E12=∃⊬-6","layer":3},{"info":"⨵≀≌∃⊬-6=∃⊬24","layer":2},{"info":"∃⊬545∲⫓∃⊬AD1=∃⊬0","layer":3},{"info":"⪲⇎∃⊬0=∃⊬0","layer":2},{"info":"∃⊬24⋷∃⊬0=∃⊬-48","layer":1},{"info":"∃⊬5BD≎⊠⪸∃⊬9A5=∃⊬5CC5E","layer":3},{"info":"⨑⩽⪐∃⊬5CC5E=∃⊬-5CB4D","layer":2},{"info":"∃⊬4CF⊉≛↸∃⊬7EE=∃⊬99E","layer":3},{"info":"∃⊬1811+∃⊬52B=∃⊬1D3C","layer":3},{"info":"∃⊬99E⨓∃⊬1D3C=∃⊬-1D3F","layer":2},{"info":"∃⊬-5CB4D⪛∃⊬-1D3F=∃⊬-14FF","layer":1},{"info":"∃⊬-48≧⫂∧∃⊬-14FF=∃⊬14B7","layer":0}]}
{"id":624,"expression_no_base_symbol":"⋗⩬⋾(↥($1260$⊴$1209$%($4287$⊭∹↮)))","expression":"⋗⩬⋾(↥(∃⊬4EC⊴∃⊬4B9%(∃⊬10BF⊭∹↮)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1283,"operation_count":5,"complexity_ratio":256.6,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1260,"base":16},"right_expr":{"type":"numeric_atoms","value":1209,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4287,"base":16}}}}},"used_operators":["DpFCA1CohY","A8NUZmVepG","k8jYdgA6NY","Nsiff2A1zJ","xNBdhnnwKq"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1260","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1260, right_input=1209, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4287","layer":4},{"info":"compute unary expreesion, input=4287, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8574","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8574, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⋗⩬⋾(↥(∃⊬4EC⊴∃⊬4B9%(∃⊬10BF⊭∹↮)))=NaN","reverse_text":"NaN=⋗⩬⋾(↥(∃⊬4EC⊴∃⊬4B9%(∃⊬10BF⊭∹↮)))","cot":[{"info":"∃⊬4EC⊴∃⊬4B9=NaN","layer":3},{"info":"∃⊬10BF⊭∹↮=∃⊬217E","layer":3},{"info":"NaN%∃⊬217E=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":625,"expression_no_base_symbol":"⇁⨣⪵($1999$⨓$6738$⊭↱($1471$⨸⪁$1381$))↬($1094$⨽$1665$⨸⪁$7260$⨳⩥⨓$1287$)","expression":"⇁⨣⪵(∃⊬7CF⨓∃⊬1A52⊭↱(∃⊬5BF⨸⪁∃⊬565))↬(∃⊬446⨽∃⊬681⨸⪁∃⊬1C5C⨳⩥⨓∃⊬507)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7864,"operation_count":8,"complexity_ratio":983.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1999,"base":16},"right_expr":{"type":"numeric_atoms","value":6738,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1471,"base":16},"right_expr":{"type":"numeric_atoms","value":1381,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1094,"base":16},"right_expr":{"type":"numeric_atoms","value":1665,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7260,"base":16},"right_expr":{"type":"numeric_atoms","value":1287,"base":16}}}}},"used_operators":["inkyxCbjAn","B5M0gjZbta","COABgblf1C","3ViojmjbAp","g55IO6H4Gj","8HhzD0ZcuI","nCS4ZIUYfx"],"dependent_operators":["B5M0gjZbta","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1999","layer":4},{"info":"number node, value=6738","layer":4},{"info":"compute binary expreesion, left_input=1999, right_input=6738, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6741","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=1381","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=1381, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5704","layer":3},{"info":"compute binary expreesion, left_input=-6741, right_input=5704, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=24895","layer":2},{"info":"number node, value=1094","layer":4},{"info":"number node, value=1665","layer":4},{"info":"compute binary expreesion, left_input=1094, right_input=1665, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3594189","layer":3},{"info":"number node, value=7260","layer":4},{"info":"number node, value=1287","layer":4},{"info":"compute binary expreesion, left_input=7260, right_input=1287, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-5973","layer":3},{"info":"compute binary expreesion, left_input=-3594189, right_input=-5973, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-7200324","layer":2},{"info":"compute binary expreesion, left_input=24895, right_input=-7200324, 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∃⊬7CF⨓∃⊬1A52⊭↱(∃⊬5BF⨸⪁∃⊬565))↬(∃⊬446⨽∃⊬681⨸⪁∃⊬1C5C⨳⩥⨓∃⊬507)=NaN","reverse_text":"NaN=⇁⨣⪵(∃⊬7CF⨓∃⊬1A52⊭↱(∃⊬5BF⨸⪁∃⊬565))↬(∃⊬446⨽∃⊬681⨸⪁∃⊬1C5C⨳⩥⨓∃⊬507)","cot":[{"info":"∃⊬7CF⨓∃⊬1A52=∃⊬-1A55","layer":3},{"info":"∃⊬5BF⨸⪁∃⊬565=∃⊬1648","layer":3},{"info":"∃⊬-1A55⊭↱∃⊬1648=∃⊬613F","layer":2},{"info":"∃⊬446⨽∃⊬681=∃⊬-36D7CD","layer":3},{"info":"∃⊬1C5C⨳⩥⨓∃⊬507=∃⊬-1755","layer":3},{"info":"∃⊬-36D7CD⨸⪁∃⊬-1755=∃⊬-6DDE44","layer":2},{"info":"∃⊬613F↬∃⊬-6DDE44=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":626,"expression_no_base_symbol":"(⨑⩽⪐(⪝⪂⫅($1584$⊭↱$5725$)))⪢(+⊝⨔($1916$⪛$1592$∀⇚≩($2159$⋝⋈⪟$4437$)))","expression":"(⨑⩽⪐(⪝⪂⫅(∃⊬630⊭↱∃⊬165D)))⪢(+⊝⨔(∃⊬77C⪛∃⊬638∀⇚≩(∃⊬86F⋝⋈⪟∃⊬1155)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1114362,"operation_count":8,"complexity_ratio":139295.25,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1584,"base":16},"right_expr":{"type":"numeric_atoms","value":5725,"base":16}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1916,"base":16},"right_expr":{"type":"numeric_atoms","value":1592,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2159,"base":16},"right_expr":{"type":"numeric_atoms","value":4437,"base":16}}}}},"used_operators":["dWAJyo7jo9","AF7qkfDlqP","XTarYq4gQB","COABgblf1C","DhbWaqg5eL","LRNGc0VcxI","uFcxV4UQCh","2DDjHMKMc0"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1584","layer":4},{"info":"number node, value=5725","layer":4},{"info":"compute binary expreesion, left_input=1584, right_input=5725, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=8287","layer":3},{"info":"compute unary expreesion, input=8287, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1218189","layer":2},{"info":"compute unary expreesion, input=-1218189, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=2437167","layer":1},{"info":"number node, value=1916","layer":4},{"info":"number node, value=1592","layer":4},{"info":"compute binary expreesion, left_input=1916, right_input=1592, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=324","layer":3},{"info":"number node, value=2159","layer":4},{"info":"number node, value=4437","layer":4},{"info":"compute binary expreesion, left_input=2159, right_input=4437, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2159","layer":3},{"info":"compute binary expreesion, left_input=324, right_input=2159, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=2437167, right_input=1522, 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":"(⨑⩽⪐(⪝⪂⫅(∃⊬630⊭↱∃⊬165D)))⪢(+⊝⨔(∃⊬77C⪛∃⊬638∀⇚≩(∃⊬86F⋝⋈⪟∃⊬1155)))=NaN","reverse_text":"NaN=(⨑⩽⪐(⪝⪂⫅(∃⊬630⊭↱∃⊬165D)))⪢(+⊝⨔(∃⊬77C⪛∃⊬638∀⇚≩(∃⊬86F⋝⋈⪟∃⊬1155)))","cot":[{"info":"∃⊬630⊭↱∃⊬165D=∃⊬205F","layer":3},{"info":"⪝⪂⫅∃⊬205F=∃⊬-12968D","layer":2},{"info":"⨑⩽⪐∃⊬-12968D=∃⊬25302F","layer":1},{"info":"∃⊬77C⪛∃⊬638=∃⊬144","layer":3},{"info":"∃⊬86F⋝⋈⪟∃⊬1155=∃⊬86F","layer":3},{"info":"∃⊬144∀⇚≩∃⊬86F=NaN","layer":2},{"info":"+⊝⨔NaN=∃⊬5F2","layer":1},{"info":"∃⊬25302F⪢∃⊬5F2=NaN","layer":0}]}
{"id":627,"expression_no_base_symbol":"((⨵≀≌$3169$)≧⫂∧(↣≠⋷$1328$)↙($3306$↬$1966$⋷(⋗⩬⋾$8169$)))⇷($5277$≭$2908$⩚⊴⇥$1232$⇷$1023$⊭↱$7793$⇷$2326$⩷∴($1122$⋫))","expression":"((⨵≀≌∃⊬C61)≧⫂∧(↣≠⋷∃⊬530)↙(∃⊬CEA↬∃⊬7AE⋷(⋗⩬⋾∃⊬1FE9)))⇷(∃⊬149D≭∃⊬B5C⩚⊴⇥∃⊬4D0⇷∃⊬3FF⊭↱∃⊬1E71⇷∃⊬916⩷∴(∃⊬462⋫))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":127521,"operation_count":15,"complexity_ratio":8501.4,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3169,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1328,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3306,"base":16},"right_expr":{"type":"numeric_atoms","value":1966,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":8169,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5277,"base":16},"right_expr":{"type":"numeric_atoms","value":2908,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1232,"base":16},"right_expr":{"type":"numeric_atoms","value":1023,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":7793,"base":16},"right_expr":{"type":"numeric_atoms","value":2326,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1122,"base":16}}}}},"used_operators":["mp7IySMOzn","yyfyN0ffXY","Ph9nP6C5qx","srAu1WTS94","Asc51vEJeQ","23Mk6UjR3U","B5M0gjZbta","DpFCA1CohY","COABgblf1C","NTOWxs364D","rxpJgHHUmx","9FxExcQeMw","JL8yIekQnl"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3169","layer":4},{"info":"compute unary expreesion, input=3169, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9507","layer":3},{"info":"number node, value=1328","layer":4},{"info":"compute unary expreesion, input=1328, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9507, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=3306","layer":4},{"info":"number node, value=1966","layer":4},{"info":"compute binary expreesion, left_input=3306, right_input=1966, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8169","layer":4},{"info":"compute unary expreesion, input=8169, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-24507","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-24507, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=5277","layer":4},{"info":"number node, value=2908","layer":4},{"info":"compute binary expreesion, left_input=5277, right_input=2908, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1232","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1232, right_input=1023, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2046","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2046, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=7793","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=7793, right_input=2326, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4652","layer":3},{"info":"number node, value=1122","layer":4},{"info":"compute unary expreesion, input=1122, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1122","layer":3},{"info":"compute binary expreesion, left_input=4652, right_input=1122, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7028","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7028, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', 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":"((⨵≀≌∃⊬C61)≧⫂∧(↣≠⋷∃⊬530)↙(∃⊬CEA↬∃⊬7AE⋷(⋗⩬⋾∃⊬1FE9)))⇷(∃⊬149D≭∃⊬B5C⩚⊴⇥∃⊬4D0⇷∃⊬3FF⊭↱∃⊬1E71⇷∃⊬916⩷∴(∃⊬462⋫))=NaN","reverse_text":"NaN=((⨵≀≌∃⊬C61)≧⫂∧(↣≠⋷∃⊬530)↙(∃⊬CEA↬∃⊬7AE⋷(⋗⩬⋾∃⊬1FE9)))⇷(∃⊬149D≭∃⊬B5C⩚⊴⇥∃⊬4D0⇷∃⊬3FF⊭↱∃⊬1E71⇷∃⊬916⩷∴(∃⊬462⋫))","cot":[{"info":"⨵≀≌∃⊬C61=∃⊬-2523","layer":3},{"info":"↣≠⋷∃⊬530=NaN","layer":3},{"info":"∃⊬-2523≧⫂∧NaN=NaN","layer":2},{"info":"∃⊬CEA↬∃⊬7AE=NaN","layer":3},{"info":"⋗⩬⋾∃⊬1FE9=∃⊬-5FBB","layer":3},{"info":"NaN⋷∃⊬-5FBB=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"∃⊬149D≭∃⊬B5C=NaN","layer":3},{"info":"∃⊬4D0⇷∃⊬3FF=∃⊬7FE","layer":3},{"info":"NaN⩚⊴⇥∃⊬7FE=NaN","layer":2},{"info":"∃⊬1E71⇷∃⊬916=∃⊬122C","layer":3},{"info":"∃⊬462⋫=∃⊬462","layer":3},{"info":"∃⊬122C⩷∴∃⊬462=∃⊬1B74","layer":2},{"info":"NaN⊭↱∃⊬1B74=NaN","layer":1},{"info":"NaN⇷NaN=NaN","layer":0}]}
{"id":628,"expression_no_base_symbol":"($4543$⨳⩥⨓$7953$/$1891$⨰$3254$/($1067$⨐⩸⫘$4920$↪⪝))⫥∨⫟((≤/($1316$∧))⋥≓≎(+⊝⨔($1069$⨸⪁$4393$)))","expression":"(∃⊬11BF⨳⩥⨓∃⊬1F11/∃⊬763⨰∃⊬CB6/(∃⊬42B⨐⩸⫘∃⊬1338↪⪝))⫥∨⫟((≤/(∃⊬524∧))⋥≓≎(+⊝⨔(∃⊬42D⨸⪁∃⊬1129)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":224,"operation_count":12,"complexity_ratio":18.666666666666668,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4543,"base":16},"right_expr":{"type":"numeric_atoms","value":7953,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1891,"base":16},"right_expr":{"type":"numeric_atoms","value":3254,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1067,"base":16},"right_expr":{"type":"numeric_atoms","value":4920,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1316,"base":16}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1069,"base":16},"right_expr":{"type":"numeric_atoms","value":4393,"base":16}}}}},"used_operators":["KYD54nUTWz","XhwjNDsVaA","nCS4ZIUYfx","eewbuw0ToL","l07mrZUIn9","fu6greOZ01","Qy55tPpLXF","eLAdDNolq6","z63VuFQld9","DhbWaqg5eL","g55IO6H4Gj"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4543","layer":4},{"info":"number node, value=7953","layer":4},{"info":"compute binary expreesion, left_input=4543, right_input=7953, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3410","layer":3},{"info":"number node, value=1891","layer":4},{"info":"number node, value=3254","layer":4},{"info":"compute binary expreesion, left_input=1891, right_input=3254, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1353","layer":3},{"info":"compute binary expreesion, left_input=3410, right_input=-1353, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=1067","layer":4},{"info":"number node, value=4920","layer":4},{"info":"compute binary expreesion, left_input=1067, right_input=4920, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1316","layer":4},{"info":"compute unary expreesion, input=1316, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":2},{"info":"number node, value=1069","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=1069, right_input=4393, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10924","layer":3},{"info":"compute unary expreesion, input=10924, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬11BF⨳⩥⨓∃⊬1F11/∃⊬763⨰∃⊬CB6/(∃⊬42B⨐⩸⫘∃⊬1338↪⪝))⫥∨⫟((≤/(∃⊬524∧))⋥≓≎(+⊝⨔(∃⊬42D⨸⪁∃⊬1129)))=NaN","reverse_text":"NaN=(∃⊬11BF⨳⩥⨓∃⊬1F11/∃⊬763⨰∃⊬CB6/(∃⊬42B⨐⩸⫘∃⊬1338↪⪝))⫥∨⫟((≤/(∃⊬524∧))⋥≓≎(+⊝⨔(∃⊬42D⨸⪁∃⊬1129)))","cot":[{"info":"∃⊬11BF⨳⩥⨓∃⊬1F11=∃⊬D52","layer":3},{"info":"∃⊬763⨰∃⊬CB6=∃⊬-549","layer":3},{"info":"∃⊬D52/∃⊬-549=∃⊬-3","layer":2},{"info":"∃⊬42B⨐⩸⫘∃⊬1338=NaN","layer":3},{"info":"NaN↪⪝=NaN","layer":2},{"info":"∃⊬-3/NaN=NaN","layer":1},{"info":"∃⊬524∧=NaN","layer":3},{"info":"≤/NaN=NaN","layer":2},{"info":"∃⊬42D⨸⪁∃⊬1129=∃⊬2AAC","layer":3},{"info":"+⊝⨔∃⊬2AAC=∃⊬5F2","layer":2},{"info":"NaN⋥≓≎∃⊬5F2=∃⊬43","layer":1},{"info":"NaN⫥∨⫟∃⊬43=NaN","layer":0}]}
{"id":629,"expression_no_base_symbol":"((-$1171$)⊭↱$6005$⪄$3518$⋷($7544$∲⫓$5663$)⨪↰⇹($1298$%$4212$))⨰($7112$∑⇟⊟$1273$)⨟⋌⩍($2868$⋥≓≎$4453$)⪛(↽≂$1257$⪢$8900$)","expression":"((-∃⊬493)⊭↱∃⊬1775⪄∃⊬DBE⋷(∃⊬1D78∲⫓∃⊬161F)⨪↰⇹(∃⊬512%∃⊬1074))⨰(∃⊬1BC8∑⇟⊟∃⊬4F9)⨟⋌⩍(∃⊬B34⋥≓≎∃⊬1165)⪛(↽≂∃⊬4E9⪢∃⊬22C4)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":9027,"operation_count":14,"complexity_ratio":644.7857142857143,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1171,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6005,"base":16},"right_expr":{"type":"numeric_atoms","value":3518,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":7544,"base":16},"right_expr":{"type":"numeric_atoms","value":5663,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1298,"base":16},"right_expr":{"type":"numeric_atoms","value":4212,"base":16}}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7112,"base":16},"right_expr":{"type":"numeric_atoms","value":1273,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2868,"base":16},"right_expr":{"type":"numeric_atoms","value":4453,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":8900,"base":16}}}}},"used_operators":["eewbuw0ToL","23Mk6UjR3U","COABgblf1C","t8gj7n24qd","SUmda5xLS4","tmPS8pqC7x","i8ToyICDmI","k8jYdgA6NY","uFcxV4UQCh","rGHVDoGpnC","U7g4x0WXJJ","Qy55tPpLXF","u6S6b8DprG","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","Tcnh7f0tEr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1171","layer":3},{"info":"number node, value=6005","layer":4},{"info":"number node, value=3518","layer":4},{"info":"compute binary expreesion, left_input=6005, right_input=3518, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-898901","layer":3},{"info":"compute binary expreesion, left_input=-1171, right_input=-898901, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1795455","layer":2},{"info":"number node, value=7544","layer":4},{"info":"number node, value=5663","layer":4},{"info":"compute binary expreesion, left_input=7544, right_input=5663, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=4212","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=4212, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1298","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1298, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1795455, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3590910","layer":1},{"info":"number node, value=7112","layer":4},{"info":"number node, value=1273","layer":4},{"info":"compute binary expreesion, left_input=7112, right_input=1273, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=2868","layer":4},{"info":"number node, value=4453","layer":4},{"info":"compute binary expreesion, left_input=2868, right_input=4453, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6071","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6071, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1257","layer":4},{"info":"number node, value=8900","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=8900, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3590910, 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":"((-∃⊬493)⊭↱∃⊬1775⪄∃⊬DBE⋷(∃⊬1D78∲⫓∃⊬161F)⨪↰⇹(∃⊬512%∃⊬1074))⨰(∃⊬1BC8∑⇟⊟∃⊬4F9)⨟⋌⩍(∃⊬B34⋥≓≎∃⊬1165)⪛(↽≂∃⊬4E9⪢∃⊬22C4)=NaN","reverse_text":"NaN=((-∃⊬493)⊭↱∃⊬1775⪄∃⊬DBE⋷(∃⊬1D78∲⫓∃⊬161F)⨪↰⇹(∃⊬512%∃⊬1074))⨰(∃⊬1BC8∑⇟⊟∃⊬4F9)⨟⋌⩍(∃⊬B34⋥≓≎∃⊬1165)⪛(↽≂∃⊬4E9⪢∃⊬22C4)","cot":[{"info":"-∃⊬493=∃⊬-493","layer":3},{"info":"∃⊬1775⪄∃⊬DBE=∃⊬-DB755","layer":3},{"info":"∃⊬-493⊭↱∃⊬-DB755=∃⊬-1B657F","layer":2},{"info":"∃⊬1D78∲⫓∃⊬161F=∃⊬0","layer":3},{"info":"∃⊬512%∃⊬1074=∃⊬512","layer":3},{"info":"∃⊬0⨪↰⇹∃⊬512=∃⊬0","layer":2},{"info":"∃⊬-1B657F⋷∃⊬0=∃⊬36CAFE","layer":1},{"info":"∃⊬1BC8∑⇟⊟∃⊬4F9=NaN","layer":3},{"info":"∃⊬B34⋥≓≎∃⊬1165=∃⊬17B7","layer":3},{"info":"NaN⨟⋌⩍∃⊬17B7=NaN","layer":2},{"info":"∃⊬4E9⪢∃⊬22C4=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"∃⊬36CAFE⨰NaN=NaN","layer":0}]}
{"id":630,"expression_no_base_symbol":"($1189$∀⇚≩$1679$⋷$1400$%$5144$+(↽≂(↣≠⋷$3881$)))⋓((⊄⩳↩($5133$⋥≓≎$3019$))⨰(⫛⫱⨽($3480$≧⫂∧$1326$)))","expression":"(∃⊬4A5∀⇚≩∃⊬68F⋷∃⊬578%∃⊬1418+(↽≂(↣≠⋷∃⊬F29)))⋓((⊄⩳↩(∃⊬140D⋥≓≎∃⊬BCB))⨰(⫛⫱⨽(∃⊬D98≧⫂∧∃⊬52E)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9782,"operation_count":12,"complexity_ratio":815.1666666666666,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1189,"base":16},"right_expr":{"type":"numeric_atoms","value":1679,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1400,"base":16},"right_expr":{"type":"numeric_atoms","value":5144,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3881,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5133,"base":16},"right_expr":{"type":"numeric_atoms","value":3019,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3480,"base":16},"right_expr":{"type":"numeric_atoms","value":1326,"base":16}}}}},"used_operators":["T2fj7uvVaJ","W4YGzv6Whe","23Mk6UjR3U","LRNGc0VcxI","k8jYdgA6NY","u6S6b8DprG","Asc51vEJeQ","eewbuw0ToL","8w2t5hMYqp","Qy55tPpLXF","DlLNRPXxWL","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1189","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=1189, right_input=1679, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1400","layer":4},{"info":"number node, value=5144","layer":4},{"info":"compute binary expreesion, left_input=1400, right_input=5144, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1400","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1400, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=3881","layer":4},{"info":"compute unary expreesion, input=3881, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=5133","layer":4},{"info":"number node, value=3019","layer":4},{"info":"compute binary expreesion, left_input=5133, right_input=3019, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=938","layer":3},{"info":"compute unary expreesion, input=938, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-2814","layer":2},{"info":"number node, value=3480","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=3480, right_input=1326, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=853","layer":3},{"info":"compute unary expreesion, input=853, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2814, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2804","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2804, 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":"(∃⊬4A5∀⇚≩∃⊬68F⋷∃⊬578%∃⊬1418+(↽≂(↣≠⋷∃⊬F29)))⋓((⊄⩳↩(∃⊬140D⋥≓≎∃⊬BCB))⨰(⫛⫱⨽(∃⊬D98≧⫂∧∃⊬52E)))=∃⊬0","reverse_text":"∃⊬0=(∃⊬4A5∀⇚≩∃⊬68F⋷∃⊬578%∃⊬1418+(↽≂(↣≠⋷∃⊬F29)))⋓((⊄⩳↩(∃⊬140D⋥≓≎∃⊬BCB))⨰(⫛⫱⨽(∃⊬D98≧⫂∧∃⊬52E)))","cot":[{"info":"∃⊬4A5∀⇚≩∃⊬68F=NaN","layer":3},{"info":"∃⊬578%∃⊬1418=∃⊬578","layer":3},{"info":"NaN⋷∃⊬578=NaN","layer":2},{"info":"↣≠⋷∃⊬F29=NaN","layer":3},{"info":"↽≂NaN=NaN","layer":2},{"info":"NaN+NaN=NaN","layer":1},{"info":"∃⊬140D⋥≓≎∃⊬BCB=∃⊬3AA","layer":3},{"info":"⊄⩳↩∃⊬3AA=∃⊬-AFE","layer":2},{"info":"∃⊬D98≧⫂∧∃⊬52E=∃⊬355","layer":3},{"info":"⫛⫱⨽∃⊬355=∃⊬0","layer":2},{"info":"∃⊬-AFE⨰∃⊬0=∃⊬-AF4","layer":1},{"info":"NaN⋓∃⊬-AF4=∃⊬0","layer":0}]}
{"id":631,"expression_no_base_symbol":"$7156$⨟⋌⩍$2182$∼(⨑⩽⪐$2425$)⨐⩸⫘($2126$⨪↰⇹$1021$)⪢($3275$⇷$2339$)↙(⨞⊢(⨑⩽⪐$2672$))⇷($4715$⨳⩥⨓$7389$⊠≄⫣)","expression":"∃⊬1BF4⨟⋌⩍∃⊬886∼(⨑⩽⪐∃⊬979)⨐⩸⫘(∃⊬84E⨪↰⇹∃⊬3FD)⪢(∃⊬CCB⇷∃⊬923)↙(⨞⊢(⨑⩽⪐∃⊬A70))⇷(∃⊬126B⨳⩥⨓∃⊬1CDD⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":83838,"operation_count":13,"complexity_ratio":6449.076923076923,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":7156,"base":16},"right_expr":{"type":"numeric_atoms","value":2182,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2425,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2126,"base":16},"right_expr":{"type":"numeric_atoms","value":1021,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3275,"base":16},"right_expr":{"type":"numeric_atoms","value":2339,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2672,"base":16}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4715,"base":16},"right_expr":{"type":"numeric_atoms","value":7389,"base":16}}}}},"used_operators":["yyfyN0ffXY","fu6greOZ01","DyGG3AbaNP","rGHVDoGpnC","AF7qkfDlqP","dWAJyo7jo9","tmPS8pqC7x","mp7IySMOzn","xUOZtlo3hN","DIvbN7qnHd","nCS4ZIUYfx"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","k8jYdgA6NY","rJVOvQCfKK","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7156","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=7156, right_input=2182, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2425","layer":4},{"info":"compute unary expreesion, input=2425, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2152","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2152, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=2126","layer":4},{"info":"number node, value=1021","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=1021, 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=2126","layer":3},{"info":"number node, value=3275","layer":4},{"info":"number node, value=2339","layer":4},{"info":"compute binary expreesion, left_input=3275, right_input=2339, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4678","layer":3},{"info":"compute binary expreesion, left_input=2126, right_input=4678, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2672","layer":4},{"info":"compute unary expreesion, input=2672, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2399","layer":3},{"info":"compute unary expreesion, input=-2399, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=2225","layer":2},{"info":"number node, value=4715","layer":4},{"info":"number node, value=7389","layer":4},{"info":"compute binary expreesion, left_input=4715, right_input=7389, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2674","layer":3},{"info":"compute unary expreesion, input=2674, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2225, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"∃⊬1BF4⨟⋌⩍∃⊬886∼(⨑⩽⪐∃⊬979)⨐⩸⫘(∃⊬84E⨪↰⇹∃⊬3FD)⪢(∃⊬CCB⇷∃⊬923)↙(⨞⊢(⨑⩽⪐∃⊬A70))⇷(∃⊬126B⨳⩥⨓∃⊬1CDD⊠≄⫣)=NaN","reverse_text":"NaN=∃⊬1BF4⨟⋌⩍∃⊬886∼(⨑⩽⪐∃⊬979)⨐⩸⫘(∃⊬84E⨪↰⇹∃⊬3FD)⪢(∃⊬CCB⇷∃⊬923)↙(⨞⊢(⨑⩽⪐∃⊬A70))⇷(∃⊬126B⨳⩥⨓∃⊬1CDD⊠≄⫣)","cot":[{"info":"∃⊬1BF4⨟⋌⩍∃⊬886=NaN","layer":3},{"info":"⨑⩽⪐∃⊬979=∃⊬-868","layer":3},{"info":"NaN∼∃⊬-868=NaN","layer":2},{"info":"∃⊬84E⨪↰⇹∃⊬3FD=∃⊬84E","layer":3},{"info":"∃⊬CCB⇷∃⊬923=∃⊬1246","layer":3},{"info":"∃⊬84E⪢∃⊬1246=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"⨑⩽⪐∃⊬A70=∃⊬-95F","layer":3},{"info":"⨞⊢∃⊬-95F=∃⊬8B1","layer":2},{"info":"∃⊬126B⨳⩥⨓∃⊬1CDD=∃⊬A72","layer":3},{"info":"∃⊬A72⊠≄⫣=∃⊬0","layer":2},{"info":"∃⊬8B1⇷∃⊬0=∃⊬0","layer":1},{"info":"NaN↙∃⊬0=NaN","layer":0}]}
{"id":632,"expression_no_base_symbol":"((($2712$∲⫓$1843$)↬$4801$⪮%⊝$6523$)∧)⋓((⫛⫱⨽$1398$)⫥∨⫟$3492$∑⇟⊟$2224$⨎(($4293$⫡⨏$6166$)∸))","expression":"(((∃⊬A98∲⫓∃⊬733)↬∃⊬12C1⪮%⊝∃⊬197B)∧)⋓((⫛⫱⨽∃⊬576)⫥∨⫟∃⊬DA4∑⇟⊟∃⊬8B0⨎((∃⊬10C5⫡⨏∃⊬1816)∸))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1793,"operation_count":11,"complexity_ratio":163.0,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2712,"base":16},"right_expr":{"type":"numeric_atoms","value":1843,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":4801,"base":16},"right_expr":{"type":"numeric_atoms","value":6523,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1398,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3492,"base":16},"right_expr":{"type":"numeric_atoms","value":2224,"base":16}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4293,"base":16},"right_expr":{"type":"numeric_atoms","value":6166,"base":16}}}}},"used_operators":["T2fj7uvVaJ","z63VuFQld9","B5M0gjZbta","i8ToyICDmI","IWmyXbctLI","rJVOvQCfKK","KYD54nUTWz","DlLNRPXxWL","U7g4x0WXJJ","o20kRiQErp","QMFrweE19q"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","8HhzD0ZcuI","rGHVDoGpnC","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2712","layer":4},{"info":"number node, value=1843","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=1843, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=4801","layer":4},{"info":"number node, value=6523","layer":4},{"info":"compute binary expreesion, left_input=4801, right_input=6523, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=9918","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9918, 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=9918","layer":2},{"info":"compute unary expreesion, input=9918, 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=1398","layer":4},{"info":"compute unary expreesion, input=1398, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=3492","layer":4},{"info":"number node, value=2224","layer":4},{"info":"compute binary expreesion, left_input=3492, right_input=2224, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4293","layer":4},{"info":"number node, value=6166","layer":4},{"info":"compute binary expreesion, left_input=4293, right_input=6166, 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=34580","layer":3},{"info":"compute unary expreesion, input=34580, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, 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":"(((∃⊬A98∲⫓∃⊬733)↬∃⊬12C1⪮%⊝∃⊬197B)∧)⋓((⫛⫱⨽∃⊬576)⫥∨⫟∃⊬DA4∑⇟⊟∃⊬8B0⨎((∃⊬10C5⫡⨏∃⊬1816)∸))=∃⊬0","reverse_text":"∃⊬0=(((∃⊬A98∲⫓∃⊬733)↬∃⊬12C1⪮%⊝∃⊬197B)∧)⋓((⫛⫱⨽∃⊬576)⫥∨⫟∃⊬DA4∑⇟⊟∃⊬8B0⨎((∃⊬10C5⫡⨏∃⊬1816)∸))","cot":[{"info":"∃⊬A98∲⫓∃⊬733=∃⊬0","layer":3},{"info":"∃⊬12C1⪮%⊝∃⊬197B=∃⊬26BE","layer":3},{"info":"∃⊬0↬∃⊬26BE=∃⊬26BE","layer":2},{"info":"∃⊬26BE∧=NaN","layer":1},{"info":"⫛⫱⨽∃⊬576=∃⊬0","layer":3},{"info":"∃⊬DA4∑⇟⊟∃⊬8B0=NaN","layer":3},{"info":"∃⊬0⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬10C5⫡⨏∃⊬1816=∃⊬8714","layer":3},{"info":"∃⊬8714∸=∃⊬B1","layer":2},{"info":"NaN⨎∃⊬B1=∃⊬B1","layer":1},{"info":"NaN⋓∃⊬B1=∃⊬0","layer":0}]}
{"id":633,"expression_no_base_symbol":"⨈⫕(($7015$⪄$5549$)⋳⪒($1343$⪨≂$2241$)⇼⇔∾(($7741$⫡⨏$2805$)⊉≛↸($2342$⇼⇔∾$1187$)))","expression":"⨈⫕((∃⊬1B67⪄∃⊬15AD)⋳⪒(∃⊬53F⪨≂∃⊬8C1)⇼⇔∾((∃⊬1E3D⫡⨏∃⊬AF5)⊉≛↸(∃⊬926⇼⇔∾∃⊬4A3)))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":506,"operation_count":8,"complexity_ratio":63.25,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7015,"base":16},"right_expr":{"type":"numeric_atoms","value":5549,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1343,"base":16},"right_expr":{"type":"numeric_atoms","value":2241,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7741,"base":16},"right_expr":{"type":"numeric_atoms","value":2805,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2342,"base":16},"right_expr":{"type":"numeric_atoms","value":1187,"base":16}}}}},"used_operators":["megm06wKyl","tifHPKVTfV","12rbrZMWeM","SUmda5xLS4","sdazOOVcIp","DZ8iAZOCBD","QMFrweE19q"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7015","layer":4},{"info":"number node, value=5549","layer":4},{"info":"compute binary expreesion, left_input=7015, right_input=5549, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1056505","layer":3},{"info":"number node, value=1343","layer":4},{"info":"number node, value=2241","layer":4},{"info":"compute binary expreesion, left_input=1343, right_input=2241, 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=-1694","layer":3},{"info":"compute binary expreesion, left_input=-1056505, right_input=-1694, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2111603","layer":2},{"info":"number node, value=7741","layer":4},{"info":"number node, value=2805","layer":4},{"info":"compute binary expreesion, left_input=7741, right_input=2805, 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=45098","layer":3},{"info":"number node, value=2342","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=2342, right_input=1187, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1155","layer":3},{"info":"compute binary expreesion, left_input=45098, right_input=-1155, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=90196","layer":2},{"info":"compute binary expreesion, left_input=-2111603, right_input=90196, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2201799","layer":1},{"info":"compute unary expreesion, input=2201799, 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":"⨈⫕((∃⊬1B67⪄∃⊬15AD)⋳⪒(∃⊬53F⪨≂∃⊬8C1)⇼⇔∾((∃⊬1E3D⫡⨏∃⊬AF5)⊉≛↸(∃⊬926⇼⇔∾∃⊬4A3)))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕((∃⊬1B67⪄∃⊬15AD)⋳⪒(∃⊬53F⪨≂∃⊬8C1)⇼⇔∾((∃⊬1E3D⫡⨏∃⊬AF5)⊉≛↸(∃⊬926⇼⇔∾∃⊬4A3)))","cot":[{"info":"∃⊬1B67⪄∃⊬15AD=∃⊬-101EF9","layer":3},{"info":"∃⊬53F⪨≂∃⊬8C1=∃⊬-69E","layer":3},{"info":"∃⊬-101EF9⋳⪒∃⊬-69E=∃⊬-203873","layer":2},{"info":"∃⊬1E3D⫡⨏∃⊬AF5=∃⊬B02A","layer":3},{"info":"∃⊬926⇼⇔∾∃⊬4A3=∃⊬-483","layer":3},{"info":"∃⊬B02A⊉≛↸∃⊬-483=∃⊬16054","layer":2},{"info":"∃⊬-203873⇼⇔∾∃⊬16054=∃⊬2198C7","layer":1},{"info":"⨈⫕∃⊬2198C7=∃⊬-15","layer":0}]}
{"id":634,"expression_no_base_symbol":"∂((≉$3291$)↙($1288$↙$3241$)⋷(+⊝⨔($3444$⋥≓≎$3307$)))","expression":"∂((≉∃⊬CDB)↙(∃⊬508↙∃⊬CA9)⋷(+⊝⨔(∃⊬D74⋥≓≎∃⊬CEB)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13019,"operation_count":7,"complexity_ratio":1859.857142857143,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":3291,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1288,"base":16},"right_expr":{"type":"numeric_atoms","value":3241,"base":16}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3444,"base":16},"right_expr":{"type":"numeric_atoms","value":3307,"base":16}}}}},"used_operators":["Uaa54Peajs","23Mk6UjR3U","yyfyN0ffXY","e1ybzncUwg","DhbWaqg5eL","Qy55tPpLXF"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3291","layer":4},{"info":"compute unary expreesion, input=3291, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3822","layer":3},{"info":"number node, value=1288","layer":4},{"info":"number node, value=3241","layer":4},{"info":"compute binary expreesion, left_input=1288, right_input=3241, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9723","layer":3},{"info":"compute binary expreesion, left_input=3822, right_input=-9723, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-29169","layer":2},{"info":"number node, value=3444","layer":4},{"info":"number node, value=3307","layer":4},{"info":"compute binary expreesion, left_input=3444, right_input=3307, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3203","layer":3},{"info":"compute unary expreesion, input=3203, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=-29169, right_input=1522, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=58338","layer":1},{"info":"compute unary expreesion, input=58338, 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":"∂((≉∃⊬CDB)↙(∃⊬508↙∃⊬CA9)⋷(+⊝⨔(∃⊬D74⋥≓≎∃⊬CEB)))=NaN","reverse_text":"NaN=∂((≉∃⊬CDB)↙(∃⊬508↙∃⊬CA9)⋷(+⊝⨔(∃⊬D74⋥≓≎∃⊬CEB)))","cot":[{"info":"≉∃⊬CDB=∃⊬EEE","layer":3},{"info":"∃⊬508↙∃⊬CA9=∃⊬-25FB","layer":3},{"info":"∃⊬EEE↙∃⊬-25FB=∃⊬-71F1","layer":2},{"info":"∃⊬D74⋥≓≎∃⊬CEB=∃⊬C83","layer":3},{"info":"+⊝⨔∃⊬C83=∃⊬5F2","layer":2},{"info":"∃⊬-71F1⋷∃⊬5F2=∃⊬E3E2","layer":1},{"info":"∂∃⊬E3E2=NaN","layer":0}]}
{"id":635,"expression_no_base_symbol":"⪝⪂⫅(∥⊫($1075$⩨$2828$+(↥$1343$)))","expression":"⪝⪂⫅(∥⊫(∃⊬433⩨∃⊬B0C+(↥∃⊬53F)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":186,"operation_count":5,"complexity_ratio":37.2,"tree":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1075,"base":16},"right_expr":{"type":"numeric_atoms","value":2828,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1343,"base":16}}}}},"used_operators":["XTarYq4gQB","P8v4zCKN1o","W4YGzv6Whe","2DlMacCsIx","A8NUZmVepG"],"dependent_operators":["9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","k8jYdgA6NY"],"result":"∃⊬-1F8BD","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1075","layer":4},{"info":"number node, value=2828","layer":4},{"info":"compute binary expreesion, left_input=1075, right_input=2828, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"number node, value=1343","layer":4},{"info":"compute unary expreesion, input=1343, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":3},{"info":"compute binary expreesion, left_input=-6, right_input=17, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11","layer":2},{"info":"compute unary expreesion, input=11, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=879","layer":1},{"info":"compute unary expreesion, input=879, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-129213","layer":0}],"base":16,"result_base":16,"text":"⪝⪂⫅(∥⊫(∃⊬433⩨∃⊬B0C+(↥∃⊬53F)))=∃⊬-1F8BD","reverse_text":"∃⊬-1F8BD=⪝⪂⫅(∥⊫(∃⊬433⩨∃⊬B0C+(↥∃⊬53F)))","cot":[{"info":"∃⊬433⩨∃⊬B0C=∃⊬-6","layer":3},{"info":"↥∃⊬53F=∃⊬11","layer":3},{"info":"∃⊬-6+∃⊬11=∃⊬B","layer":2},{"info":"∥⊫∃⊬B=∃⊬36F","layer":1},{"info":"⪝⪂⫅∃⊬36F=∃⊬-1F8BD","layer":0}]}
{"id":636,"expression_no_base_symbol":"($1175$⨎$1607$⨳⩥⨓($4745$⪒$1071$)↺($2432$*$1403$)⩷∴($2015$*$3452$))⊴(($4811$⊭↱$1649$)+⇶⊼$3271$⨰$4584$⩨((↩$2152$)⩨$1585$⋥≓≎$4739$))","expression":"(∃⊬497⨎∃⊬647⨳⩥⨓(∃⊬1289⪒∃⊬42F)↺(∃⊬980*∃⊬57B)⩷∴(∃⊬7DF*∃⊬D7C))⊴((∃⊬12CB⊭↱∃⊬671)+⇶⊼∃⊬CC7⨰∃⊬11E8⩨((↩∃⊬868)⩨∃⊬631⋥≓≎∃⊬1283))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3481,"operation_count":15,"complexity_ratio":232.06666666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1175,"base":16},"right_expr":{"type":"numeric_atoms","value":1607,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4745,"base":16},"right_expr":{"type":"numeric_atoms","value":1071,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2432,"base":16},"right_expr":{"type":"numeric_atoms","value":1403,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2015,"base":16},"right_expr":{"type":"numeric_atoms","value":3452,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4811,"base":16},"right_expr":{"type":"numeric_atoms","value":1649,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3271,"base":16},"right_expr":{"type":"numeric_atoms","value":4584,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2152,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1585,"base":16},"right_expr":{"type":"numeric_atoms","value":4739,"base":16}}}}},"used_operators":["Nsiff2A1zJ","7j4O788W3g","nCS4ZIUYfx","rJVOvQCfKK","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","2DlMacCsIx","TpPTUOHfaN","COABgblf1C","eewbuw0ToL","jLgFTUHLKL","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1175","layer":4},{"info":"number node, value=1607","layer":4},{"info":"compute binary expreesion, left_input=1175, right_input=1607, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1607","layer":3},{"info":"number node, value=4745","layer":4},{"info":"number node, value=1071","layer":4},{"info":"compute binary expreesion, left_input=4745, right_input=1071, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5816","layer":3},{"info":"compute binary expreesion, left_input=1607, right_input=-5816, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-7423","layer":2},{"info":"number node, value=2432","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=2432, right_input=1403, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3412096","layer":3},{"info":"number node, value=2015","layer":4},{"info":"number node, value=3452","layer":4},{"info":"compute binary expreesion, left_input=2015, right_input=3452, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6955780","layer":3},{"info":"compute binary expreesion, left_input=3412096, right_input=6955780, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-7087400","layer":2},{"info":"compute binary expreesion, left_input=-7423, right_input=-7087400, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-7087400","layer":1},{"info":"number node, value=4811","layer":4},{"info":"number node, value=1649","layer":4},{"info":"compute binary expreesion, left_input=4811, right_input=1649, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-6319","layer":3},{"info":"number node, value=3271","layer":4},{"info":"number node, value=4584","layer":4},{"info":"compute binary expreesion, left_input=3271, right_input=4584, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1303","layer":3},{"info":"compute binary expreesion, left_input=-6319, right_input=-1303, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2152","layer":4},{"info":"compute unary expreesion, input=2152, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14436","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=4739","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=4739, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7926","layer":3},{"info":"compute binary expreesion, left_input=-14436, right_input=7926, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-7087400, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬497⨎∃⊬647⨳⩥⨓(∃⊬1289⪒∃⊬42F)↺(∃⊬980*∃⊬57B)⩷∴(∃⊬7DF*∃⊬D7C))⊴((∃⊬12CB⊭↱∃⊬671)+⇶⊼∃⊬CC7⨰∃⊬11E8⩨((↩∃⊬868)⩨∃⊬631⋥≓≎∃⊬1283))=NaN","reverse_text":"NaN=(∃⊬497⨎∃⊬647⨳⩥⨓(∃⊬1289⪒∃⊬42F)↺(∃⊬980*∃⊬57B)⩷∴(∃⊬7DF*∃⊬D7C))⊴((∃⊬12CB⊭↱∃⊬671)+⇶⊼∃⊬CC7⨰∃⊬11E8⩨((↩∃⊬868)⩨∃⊬631⋥≓≎∃⊬1283))","cot":[{"info":"∃⊬497⨎∃⊬647=∃⊬647","layer":3},{"info":"∃⊬1289⪒∃⊬42F=∃⊬-16B8","layer":3},{"info":"∃⊬647⨳⩥⨓∃⊬-16B8=∃⊬-1CFF","layer":2},{"info":"∃⊬980*∃⊬57B=∃⊬341080","layer":3},{"info":"∃⊬7DF*∃⊬D7C=∃⊬6A2304","layer":3},{"info":"∃⊬341080⩷∴∃⊬6A2304=∃⊬-6C2528","layer":2},{"info":"∃⊬-1CFF↺∃⊬-6C2528=∃⊬-6C2528","layer":1},{"info":"∃⊬12CB⊭↱∃⊬671=∃⊬-18AF","layer":3},{"info":"∃⊬CC7⨰∃⊬11E8=∃⊬-517","layer":3},{"info":"∃⊬-18AF+⇶⊼∃⊬-517=NaN","layer":2},{"info":"↩∃⊬868=∃⊬-3864","layer":3},{"info":"∃⊬631⋥≓≎∃⊬1283=∃⊬1EF6","layer":3},{"info":"∃⊬-3864⩨∃⊬1EF6=∃⊬3","layer":2},{"info":"NaN⩨∃⊬3=NaN","layer":1},{"info":"∃⊬-6C2528⊴NaN=NaN","layer":0}]}
{"id":637,"expression_no_base_symbol":"(⋗⩬⋾(∥⊫$1042$⨎$1327$))⩨(($4772$↪⪝)⨐⩸⫘$1018$⨐⩸⫘$2697$)⋓((⫓⪴$2633$)⫡⨏$1226$∑⇟⊟$2772$)","expression":"(⋗⩬⋾(∥⊫∃⊬412⨎∃⊬52F))⩨((∃⊬12A4↪⪝)⨐⩸⫘∃⊬3FA⨐⩸⫘∃⊬A89)⋓((⫓⪴∃⊬A49)⫡⨏∃⊬4CA∑⇟⊟∃⊬AD4)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3368,"operation_count":11,"complexity_ratio":306.1818181818182,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1042,"base":16},"right_expr":{"type":"numeric_atoms","value":1327,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4772,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1018,"base":16},"right_expr":{"type":"numeric_atoms","value":2697,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":2633,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1226,"base":16},"right_expr":{"type":"numeric_atoms","value":2772,"base":16}}}}},"used_operators":["2DlMacCsIx","DpFCA1CohY","P8v4zCKN1o","rJVOvQCfKK","T2fj7uvVaJ","fu6greOZ01","l07mrZUIn9","QMFrweE19q","eLxqMNBOBk","U7g4x0WXJJ"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1042","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=1042, right_input=1327, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1327","layer":3},{"info":"compute unary expreesion, input=1327, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2195","layer":2},{"info":"compute unary expreesion, input=2195, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6585","layer":1},{"info":"number node, value=4772","layer":4},{"info":"compute unary expreesion, input=4772, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=291960504","layer":3},{"info":"number node, value=1018","layer":4},{"info":"number node, value=2697","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=2697, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=291960504, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2633","layer":4},{"info":"compute unary expreesion, input=2633, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=6932689","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=2772","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=2772, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6932689, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6585, 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":"(⋗⩬⋾(∥⊫∃⊬412⨎∃⊬52F))⩨((∃⊬12A4↪⪝)⨐⩸⫘∃⊬3FA⨐⩸⫘∃⊬A89)⋓((⫓⪴∃⊬A49)⫡⨏∃⊬4CA∑⇟⊟∃⊬AD4)=NaN","reverse_text":"NaN=(⋗⩬⋾(∥⊫∃⊬412⨎∃⊬52F))⩨((∃⊬12A4↪⪝)⨐⩸⫘∃⊬3FA⨐⩸⫘∃⊬A89)⋓((⫓⪴∃⊬A49)⫡⨏∃⊬4CA∑⇟⊟∃⊬AD4)","cot":[{"info":"∃⊬412⨎∃⊬52F=∃⊬52F","layer":3},{"info":"∥⊫∃⊬52F=∃⊬893","layer":2},{"info":"⋗⩬⋾∃⊬893=∃⊬-19B9","layer":1},{"info":"∃⊬12A4↪⪝=∃⊬1166F6B8","layer":3},{"info":"∃⊬3FA⨐⩸⫘∃⊬A89=NaN","layer":3},{"info":"∃⊬1166F6B8⨐⩸⫘NaN=NaN","layer":2},{"info":"⫓⪴∃⊬A49=∃⊬69C8D1","layer":3},{"info":"∃⊬4CA∑⇟⊟∃⊬AD4=NaN","layer":3},{"info":"∃⊬69C8D1⫡⨏NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"∃⊬-19B9⩨NaN=NaN","layer":0}]}
{"id":638,"expression_no_base_symbol":"($8564$⪢$1614$⨐⩸⫘(⊥$1236$))↬(≉($3316$⊦⊿))⩚⊴⇥($4002$∼$4089$⋓($1791$⨵⪆$5581$)⫥∨⫟($5100$⪒$1199$)⩚⊴⇥($5486$⨵⪆$1454$))","expression":"(∃⊬2174⪢∃⊬64E⨐⩸⫘(⊥∃⊬4D4))↬(≉(∃⊬CF4⊦⊿))⩚⊴⇥(∃⊬FA2∼∃⊬FF9⋓(∃⊬6FF⨵⪆∃⊬15CD)⫥∨⫟(∃⊬13EC⪒∃⊬4AF)⩚⊴⇥(∃⊬156E⨵⪆∃⊬5AE))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":5867,"operation_count":14,"complexity_ratio":419.07142857142856,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8564,"base":16},"right_expr":{"type":"numeric_atoms","value":1614,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1236,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":3316,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4002,"base":16},"right_expr":{"type":"numeric_atoms","value":4089,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1791,"base":16},"right_expr":{"type":"numeric_atoms","value":5581,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5100,"base":16},"right_expr":{"type":"numeric_atoms","value":1199,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5486,"base":16},"right_expr":{"type":"numeric_atoms","value":1454,"base":16}}}}},"used_operators":["NTOWxs364D","B5M0gjZbta","fu6greOZ01","dWAJyo7jo9","Q3PJZHRvZv","e1ybzncUwg","14qkJME0vr","KYD54nUTWz","T2fj7uvVaJ","DyGG3AbaNP","2DQ55sFlQl","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rGHVDoGpnC","3ViojmjbAp","k8jYdgA6NY","fu6greOZ01","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8564","layer":4},{"info":"number node, value=1614","layer":4},{"info":"compute binary expreesion, left_input=8564, right_input=1614, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1236","layer":4},{"info":"compute unary expreesion, input=1236, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3316","layer":4},{"info":"compute unary expreesion, input=3316, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-10027","layer":3},{"info":"compute unary expreesion, input=-10027, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-10027","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-10027, 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=4002","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=4002, right_input=4089, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=5581","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=5581, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5100","layer":4},{"info":"number node, value=1199","layer":4},{"info":"compute binary expreesion, left_input=5100, right_input=1199, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6299","layer":3},{"info":"number node, value=5486","layer":4},{"info":"number node, value=1454","layer":4},{"info":"compute binary expreesion, left_input=5486, right_input=1454, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-6299, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=6018","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=6018, 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 = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬2174⪢∃⊬64E⨐⩸⫘(⊥∃⊬4D4))↬(≉(∃⊬CF4⊦⊿))⩚⊴⇥(∃⊬FA2∼∃⊬FF9⋓(∃⊬6FF⨵⪆∃⊬15CD)⫥∨⫟(∃⊬13EC⪒∃⊬4AF)⩚⊴⇥(∃⊬156E⨵⪆∃⊬5AE))=NaN","reverse_text":"NaN=(∃⊬2174⪢∃⊬64E⨐⩸⫘(⊥∃⊬4D4))↬(≉(∃⊬CF4⊦⊿))⩚⊴⇥(∃⊬FA2∼∃⊬FF9⋓(∃⊬6FF⨵⪆∃⊬15CD)⫥∨⫟(∃⊬13EC⪒∃⊬4AF)⩚⊴⇥(∃⊬156E⨵⪆∃⊬5AE))","cot":[{"info":"∃⊬2174⪢∃⊬64E=NaN","layer":3},{"info":"⊥∃⊬4D4=NaN","layer":3},{"info":"NaN⨐⩸⫘NaN=NaN","layer":2},{"info":"∃⊬CF4⊦⊿=∃⊬-272B","layer":3},{"info":"≉∃⊬-272B=∃⊬-272B","layer":2},{"info":"NaN↬∃⊬-272B=NaN","layer":1},{"info":"∃⊬FA2∼∃⊬FF9=NaN","layer":3},{"info":"∃⊬6FF⨵⪆∃⊬15CD=∃⊬A0","layer":3},{"info":"NaN⋓∃⊬A0=∃⊬0","layer":2},{"info":"∃⊬13EC⪒∃⊬4AF=∃⊬-189B","layer":3},{"info":"∃⊬156E⨵⪆∃⊬5AE=∃⊬A0","layer":3},{"info":"∃⊬-189B⩚⊴⇥∃⊬A0=∃⊬1782","layer":2},{"info":"∃⊬0⫥∨⫟∃⊬1782=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":639,"expression_no_base_symbol":"≉((($1918$⊘)⨁⊸⫻)*(⫓⪴($1696$⩚⊴⇥$1231$)))","expression":"≉(((∃⊬77E⊘)⨁⊸⫻)*(⫓⪴(∃⊬6A0⩚⊴⇥∃⊬4CF)))","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":3076,"operation_count":6,"complexity_ratio":512.6666666666666,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1918,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1696,"base":16},"right_expr":{"type":"numeric_atoms","value":1231,"base":16}}}}},"used_operators":["e1ybzncUwg","9HNa5Wba9A","glklzrTFfD","gu96TGCTMs","eLxqMNBOBk","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬213","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1918","layer":4},{"info":"compute unary expreesion, input=1918, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=1696","layer":4},{"info":"number node, value=1231","layer":4},{"info":"compute binary expreesion, left_input=1696, right_input=1231, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3048","layer":3},{"info":"compute unary expreesion, input=-3048, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9290304","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=9290304, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"≉(((∃⊬77E⊘)⨁⊸⫻)*(⫓⪴(∃⊬6A0⩚⊴⇥∃⊬4CF)))=∃⊬213","reverse_text":"∃⊬213=≉(((∃⊬77E⊘)⨁⊸⫻)*(⫓⪴(∃⊬6A0⩚⊴⇥∃⊬4CF)))","cot":[{"info":"∃⊬77E⊘=∃⊬0","layer":3},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":2},{"info":"∃⊬6A0⩚⊴⇥∃⊬4CF=∃⊬-BE8","layer":3},{"info":"⫓⪴∃⊬-BE8=∃⊬8DC240","layer":2},{"info":"∃⊬0*∃⊬8DC240=∃⊬0","layer":1},{"info":"≉∃⊬0=∃⊬213","layer":0}]}
{"id":640,"expression_no_base_symbol":"((-$1443$)⋷$4107$⨪↰⇹$1138$⨵⪆$3116$∑⇟⊟$1050$≧⫂∧($5021$⨵⪆$2402$))⪢(($4092$⊉≛↸$2010$)⫥∨⫟(⋗⩬⋾$1849$)⨽(↩(↥$7557$)))","expression":"((-∃⊬5A3)⋷∃⊬100B⨪↰⇹∃⊬472⨵⪆∃⊬C2C∑⇟⊟∃⊬41A≧⫂∧(∃⊬139D⨵⪆∃⊬962))⪢((∃⊬FFC⊉≛↸∃⊬7DA)⫥∨⫟(⋗⩬⋾∃⊬739)⨽(↩(↥∃⊬1D85)))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4451,"operation_count":14,"complexity_ratio":317.92857142857144,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1443,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4107,"base":16},"right_expr":{"type":"numeric_atoms","value":1138,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3116,"base":16},"right_expr":{"type":"numeric_atoms","value":1050,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5021,"base":16},"right_expr":{"type":"numeric_atoms","value":2402,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4092,"base":16},"right_expr":{"type":"numeric_atoms","value":2010,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1849,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":7557,"base":16}}}}},"used_operators":["dWAJyo7jo9","2DQ55sFlQl","23Mk6UjR3U","t8gj7n24qd","tmPS8pqC7x","Ph9nP6C5qx","U7g4x0WXJJ","8HhzD0ZcuI","KYD54nUTWz","DZ8iAZOCBD","DpFCA1CohY","jLgFTUHLKL","A8NUZmVepG"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1443","layer":3},{"info":"number node, value=4107","layer":4},{"info":"number node, value=1138","layer":4},{"info":"compute binary expreesion, left_input=4107, right_input=1138, 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=4107","layer":3},{"info":"compute binary expreesion, left_input=-1443, right_input=4107, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2886","layer":2},{"info":"number node, value=3116","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=3116, right_input=1050, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5021","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=2402, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":2},{"info":"compute binary expreesion, left_input=2886, right_input=-313, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=4092","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=4092, right_input=2010, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=8184","layer":3},{"info":"number node, value=1849","layer":4},{"info":"compute unary expreesion, input=1849, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5547","layer":3},{"info":"compute binary expreesion, left_input=8184, right_input=-5547, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7557","layer":4},{"info":"compute unary expreesion, input=7557, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=9","layer":3},{"info":"compute unary expreesion, input=9, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=4736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4736, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=160, 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":"((-∃⊬5A3)⋷∃⊬100B⨪↰⇹∃⊬472⨵⪆∃⊬C2C∑⇟⊟∃⊬41A≧⫂∧(∃⊬139D⨵⪆∃⊬962))⪢((∃⊬FFC⊉≛↸∃⊬7DA)⫥∨⫟(⋗⩬⋾∃⊬739)⨽(↩(↥∃⊬1D85)))=NaN","reverse_text":"NaN=((-∃⊬5A3)⋷∃⊬100B⨪↰⇹∃⊬472⨵⪆∃⊬C2C∑⇟⊟∃⊬41A≧⫂∧(∃⊬139D⨵⪆∃⊬962))⪢((∃⊬FFC⊉≛↸∃⊬7DA)⫥∨⫟(⋗⩬⋾∃⊬739)⨽(↩(↥∃⊬1D85)))","cot":[{"info":"-∃⊬5A3=∃⊬-5A3","layer":3},{"info":"∃⊬100B⨪↰⇹∃⊬472=∃⊬100B","layer":3},{"info":"∃⊬-5A3⋷∃⊬100B=∃⊬B46","layer":2},{"info":"∃⊬C2C∑⇟⊟∃⊬41A=NaN","layer":3},{"info":"∃⊬139D⨵⪆∃⊬962=∃⊬A0","layer":3},{"info":"NaN≧⫂∧∃⊬A0=∃⊬-139","layer":2},{"info":"∃⊬B46⨵⪆∃⊬-139=∃⊬A0","layer":1},{"info":"∃⊬FFC⊉≛↸∃⊬7DA=∃⊬1FF8","layer":3},{"info":"⋗⩬⋾∃⊬739=∃⊬-15AB","layer":3},{"info":"∃⊬1FF8⫥∨⫟∃⊬-15AB=NaN","layer":2},{"info":"↥∃⊬1D85=∃⊬9","layer":3},{"info":"↩∃⊬9=∃⊬1280","layer":2},{"info":"NaN⨽∃⊬1280=NaN","layer":1},{"info":"∃⊬A0⪢NaN=NaN","layer":0}]}
{"id":641,"expression_no_base_symbol":"↩(($1147$⋥≓≎$1818$)⋥≓≎(⋗⩬⋾$1329$)⪨≂($1016$↬$8746$)≹⇙⪍($8168$⋳⪒$3467$))","expression":"↩((∃⊬47B⋥≓≎∃⊬71A)⋥≓≎(⋗⩬⋾∃⊬531)⪨≂(∃⊬3F8↬∃⊬222A)≹⇙⪍(∃⊬1FE8⋳⪒∃⊬D8B))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":44,"operation_count":8,"complexity_ratio":5.5,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1147,"base":16},"right_expr":{"type":"numeric_atoms","value":1818,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1329,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1016,"base":16},"right_expr":{"type":"numeric_atoms","value":8746,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":8168,"base":16},"right_expr":{"type":"numeric_atoms","value":3467,"base":16}}}}},"used_operators":["jLgFTUHLKL","sdazOOVcIp","Qy55tPpLXF","DpFCA1CohY","AHs5Up7iyr","B5M0gjZbta","12rbrZMWeM"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1147","layer":4},{"info":"number node, value=1818","layer":4},{"info":"compute binary expreesion, left_input=1147, right_input=1818, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2522","layer":3},{"info":"number node, value=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3987","layer":3},{"info":"compute binary expreesion, left_input=2522, right_input=-3987, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-10463","layer":2},{"info":"number node, value=1016","layer":4},{"info":"number node, value=8746","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=8746, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=8168","layer":4},{"info":"number node, value=3467","layer":4},{"info":"compute binary expreesion, left_input=8168, right_input=3467, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=12582","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=12582, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10463, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↩((∃⊬47B⋥≓≎∃⊬71A)⋥≓≎(⋗⩬⋾∃⊬531)⪨≂(∃⊬3F8↬∃⊬222A)≹⇙⪍(∃⊬1FE8⋳⪒∃⊬D8B))=NaN","reverse_text":"NaN=↩((∃⊬47B⋥≓≎∃⊬71A)⋥≓≎(⋗⩬⋾∃⊬531)⪨≂(∃⊬3F8↬∃⊬222A)≹⇙⪍(∃⊬1FE8⋳⪒∃⊬D8B))","cot":[{"info":"∃⊬47B⋥≓≎∃⊬71A=∃⊬9DA","layer":3},{"info":"⋗⩬⋾∃⊬531=∃⊬-F93","layer":3},{"info":"∃⊬9DA⋥≓≎∃⊬-F93=∃⊬-28DF","layer":2},{"info":"∃⊬3F8↬∃⊬222A=NaN","layer":3},{"info":"∃⊬1FE8⋳⪒∃⊬D8B=∃⊬3126","layer":3},{"info":"NaN≹⇙⪍∃⊬3126=NaN","layer":2},{"info":"∃⊬-28DF⪨≂NaN=NaN","layer":1},{"info":"↩NaN=NaN","layer":0}]}
{"id":642,"expression_no_base_symbol":"((⫛⫱⨽($1320$⊉≛↸$1765$))⊭∹↮)⪘⫢(($5283$⋫)⇷($1084$⩷∴$5363$)⫩⊇)","expression":"((⫛⫱⨽(∃⊬528⊉≛↸∃⊬6E5))⊭∹↮)⪘⫢((∃⊬14A3⋫)⇷(∃⊬43C⩷∴∃⊬14F3)⫩⊇)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":80695,"operation_count":8,"complexity_ratio":10086.875,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1320,"base":16},"right_expr":{"type":"numeric_atoms","value":1765,"base":16}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":5283,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1084,"base":16},"right_expr":{"type":"numeric_atoms","value":5363,"base":16}}}}},"used_operators":["oacrs7FA3X","xNBdhnnwKq","DlLNRPXxWL","DZ8iAZOCBD","BjRHVeLaeN","mp7IySMOzn","JL8yIekQnl","9FxExcQeMw"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1320","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1765, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2640","layer":3},{"info":"compute unary expreesion, input=2640, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"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":1},{"info":"number node, value=5283","layer":4},{"info":"compute unary expreesion, input=5283, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5283","layer":3},{"info":"number node, value=1084","layer":4},{"info":"number node, value=5363","layer":4},{"info":"compute binary expreesion, left_input=1084, right_input=5363, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-8590","layer":3},{"info":"compute binary expreesion, left_input=5283, right_input=-8590, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⫛⫱⨽(∃⊬528⊉≛↸∃⊬6E5))⊭∹↮)⪘⫢((∃⊬14A3⋫)⇷(∃⊬43C⩷∴∃⊬14F3)⫩⊇)=NaN","reverse_text":"NaN=((⫛⫱⨽(∃⊬528⊉≛↸∃⊬6E5))⊭∹↮)⪘⫢((∃⊬14A3⋫)⇷(∃⊬43C⩷∴∃⊬14F3)⫩⊇)","cot":[{"info":"∃⊬528⊉≛↸∃⊬6E5=∃⊬A50","layer":3},{"info":"⫛⫱⨽∃⊬A50=∃⊬0","layer":2},{"info":"∃⊬0⊭∹↮=∃⊬0","layer":1},{"info":"∃⊬14A3⋫=∃⊬14A3","layer":3},{"info":"∃⊬43C⩷∴∃⊬14F3=∃⊬-218E","layer":3},{"info":"∃⊬14A3⇷∃⊬-218E=NaN","layer":2},{"info":"NaN⫩⊇=NaN","layer":1},{"info":"∃⊬0⪘⫢NaN=NaN","layer":0}]}
{"id":643,"expression_no_base_symbol":"(≉(⨞⊢$4590$⋓$3126$))⪛(($3767$⩨$5062$-$3384$∲⫓$4378$)⊭↱($2177$⨪↰⇹$3013$+$1988$∑⇟⊟$2976$))","expression":"(≉(⨞⊢∃⊬11EE⋓∃⊬C36))⪛((∃⊬EB7⩨∃⊬13C6-∃⊬D38∲⫓∃⊬111A)⊭↱(∃⊬881⨪↰⇹∃⊬BC5+∃⊬7C4∑⇟⊟∃⊬BA0))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2213,"operation_count":11,"complexity_ratio":201.1818181818182,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4590,"base":16},"right_expr":{"type":"numeric_atoms","value":3126,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3767,"base":16},"right_expr":{"type":"numeric_atoms","value":5062,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3384,"base":16},"right_expr":{"type":"numeric_atoms","value":4378,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2177,"base":16},"right_expr":{"type":"numeric_atoms","value":3013,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1988,"base":16},"right_expr":{"type":"numeric_atoms","value":2976,"base":16}}}}},"used_operators":["uFcxV4UQCh","e1ybzncUwg","xUOZtlo3hN","T2fj7uvVaJ","COABgblf1C","rysDP5nf3Z","2DlMacCsIx","i8ToyICDmI","W4YGzv6Whe","tmPS8pqC7x","U7g4x0WXJJ"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4590","layer":4},{"info":"number node, value=3126","layer":4},{"info":"compute binary expreesion, left_input=4590, right_input=3126, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-174","layer":2},{"info":"compute unary expreesion, input=-174, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=357","layer":1},{"info":"number node, value=3767","layer":4},{"info":"number node, value=5062","layer":4},{"info":"compute binary expreesion, left_input=3767, right_input=5062, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=3384","layer":4},{"info":"number node, value=4378","layer":4},{"info":"compute binary expreesion, left_input=3384, right_input=4378, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3","layer":2},{"info":"number node, value=2177","layer":4},{"info":"number node, value=3013","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=3013, 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=2177","layer":3},{"info":"number node, value=1988","layer":4},{"info":"number node, value=2976","layer":4},{"info":"compute binary expreesion, left_input=1988, right_input=2976, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2177, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=357, 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":"(≉(⨞⊢∃⊬11EE⋓∃⊬C36))⪛((∃⊬EB7⩨∃⊬13C6-∃⊬D38∲⫓∃⊬111A)⊭↱(∃⊬881⨪↰⇹∃⊬BC5+∃⊬7C4∑⇟⊟∃⊬BA0))=NaN","reverse_text":"NaN=(≉(⨞⊢∃⊬11EE⋓∃⊬C36))⪛((∃⊬EB7⩨∃⊬13C6-∃⊬D38∲⫓∃⊬111A)⊭↱(∃⊬881⨪↰⇹∃⊬BC5+∃⊬7C4∑⇟⊟∃⊬BA0))","cot":[{"info":"∃⊬11EE⋓∃⊬C36=∃⊬0","layer":3},{"info":"⨞⊢∃⊬0=∃⊬-AE","layer":2},{"info":"≉∃⊬-AE=∃⊬165","layer":1},{"info":"∃⊬EB7⩨∃⊬13C6=∃⊬-3","layer":3},{"info":"∃⊬D38∲⫓∃⊬111A=∃⊬0","layer":3},{"info":"∃⊬-3-∃⊬0=∃⊬-3","layer":2},{"info":"∃⊬881⨪↰⇹∃⊬BC5=∃⊬881","layer":3},{"info":"∃⊬7C4∑⇟⊟∃⊬BA0=NaN","layer":3},{"info":"∃⊬881+NaN=NaN","layer":2},{"info":"∃⊬-3⊭↱NaN=NaN","layer":1},{"info":"∃⊬165⪛NaN=NaN","layer":0}]}
{"id":644,"expression_no_base_symbol":"(↥($3766$∲⫓$1758$))≭($2399$⋓$1469$↺$4250$⫥∨⫟$5889$)⨁⊸⫻","expression":"(↥(∃⊬EB6∲⫓∃⊬6DE))≭(∃⊬95F⋓∃⊬5BD↺∃⊬109A⫥∨⫟∃⊬1701)⨁⊸⫻","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":174,"operation_count":7,"complexity_ratio":24.857142857142858,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":3766,"base":16},"right_expr":{"type":"numeric_atoms","value":1758,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2399,"base":16},"right_expr":{"type":"numeric_atoms","value":1469,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4250,"base":16},"right_expr":{"type":"numeric_atoms","value":5889,"base":16}}}}},"used_operators":["glklzrTFfD","rxpJgHHUmx","A8NUZmVepG","i8ToyICDmI","7j4O788W3g","T2fj7uvVaJ","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3766","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=3766, right_input=1758, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":2},{"info":"number node, value=2399","layer":4},{"info":"number node, value=1469","layer":4},{"info":"compute binary expreesion, left_input=2399, right_input=1469, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=4250","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=4250, right_input=5889, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥(∃⊬EB6∲⫓∃⊬6DE))≭(∃⊬95F⋓∃⊬5BD↺∃⊬109A⫥∨⫟∃⊬1701)⨁⊸⫻=NaN","reverse_text":"NaN=(↥(∃⊬EB6∲⫓∃⊬6DE))≭(∃⊬95F⋓∃⊬5BD↺∃⊬109A⫥∨⫟∃⊬1701)⨁⊸⫻","cot":[{"info":"∃⊬EB6∲⫓∃⊬6DE=∃⊬0","layer":3},{"info":"↥∃⊬0=∃⊬0","layer":2},{"info":"∃⊬95F⋓∃⊬5BD=∃⊬0","layer":3},{"info":"∃⊬109A⫥∨⫟∃⊬1701=NaN","layer":3},{"info":"∃⊬0↺NaN=NaN","layer":2},{"info":"∃⊬0≭NaN=NaN","layer":1},{"info":"NaN⨁⊸⫻=NaN","layer":0}]}
{"id":645,"expression_no_base_symbol":"(($1794$+$3137$)⫥∨⫟($2708$↛⩡⫤))⊴(($1641$⊉≛↸$7100$)⪛($3276$⨳⩥⨓$2951$))⫌⩹⨱","expression":"((∃⊬702+∃⊬C41)⫥∨⫟(∃⊬A94↛⩡⫤))⊴((∃⊬669⊉≛↸∃⊬1BBC)⪛(∃⊬CCC⨳⩥⨓∃⊬B87))⫌⩹⨱","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8737,"operation_count":8,"complexity_ratio":1092.125,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1794,"base":16},"right_expr":{"type":"numeric_atoms","value":3137,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2708,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1641,"base":16},"right_expr":{"type":"numeric_atoms","value":7100,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3276,"base":16},"right_expr":{"type":"numeric_atoms","value":2951,"base":16}}}}},"used_operators":["EBcxylXtPf","Nsiff2A1zJ","KYD54nUTWz","W4YGzv6Whe","FU0Cs4j7VP","uFcxV4UQCh","DZ8iAZOCBD","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1794","layer":4},{"info":"number node, value=3137","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=3137, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4931","layer":3},{"info":"number node, value=2708","layer":4},{"info":"compute unary expreesion, input=2708, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-404997","layer":3},{"info":"compute binary expreesion, left_input=4931, right_input=-404997, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1641","layer":4},{"info":"number node, value=7100","layer":4},{"info":"compute binary expreesion, left_input=1641, right_input=7100, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3282","layer":3},{"info":"number node, value=3276","layer":4},{"info":"number node, value=2951","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=2951, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-325","layer":3},{"info":"compute binary expreesion, left_input=3282, right_input=-325, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-293","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-293, 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":"((∃⊬702+∃⊬C41)⫥∨⫟(∃⊬A94↛⩡⫤))⊴((∃⊬669⊉≛↸∃⊬1BBC)⪛(∃⊬CCC⨳⩥⨓∃⊬B87))⫌⩹⨱=NaN","reverse_text":"NaN=((∃⊬702+∃⊬C41)⫥∨⫟(∃⊬A94↛⩡⫤))⊴((∃⊬669⊉≛↸∃⊬1BBC)⪛(∃⊬CCC⨳⩥⨓∃⊬B87))⫌⩹⨱","cot":[{"info":"∃⊬702+∃⊬C41=∃⊬1343","layer":3},{"info":"∃⊬A94↛⩡⫤=∃⊬-62E05","layer":3},{"info":"∃⊬1343⫥∨⫟∃⊬-62E05=NaN","layer":2},{"info":"∃⊬669⊉≛↸∃⊬1BBC=∃⊬CD2","layer":3},{"info":"∃⊬CCC⨳⩥⨓∃⊬B87=∃⊬-145","layer":3},{"info":"∃⊬CD2⪛∃⊬-145=∃⊬-125","layer":2},{"info":"NaN⊴∃⊬-125=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":646,"expression_no_base_symbol":"⊄⩳↩(≤/((≦∁$1017$)⊠≄⫣))","expression":"⊄⩳↩(≤/((≦∁∃⊬3F9)⊠≄⫣))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":8,"operation_count":4,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1017,"base":16}}}}},"used_operators":["8w2t5hMYqp","eLAdDNolq6","DIvbN7qnHd","9ICcGScMcE"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"∃⊬-5AC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1017","layer":3},{"info":"compute unary expreesion, input=1017, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=484","layer":1},{"info":"compute unary expreesion, input=484, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-1452","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(≤/((≦∁∃⊬3F9)⊠≄⫣))=∃⊬-5AC","reverse_text":"∃⊬-5AC=⊄⩳↩(≤/((≦∁∃⊬3F9)⊠≄⫣))","cot":[{"info":"≦∁∃⊬3F9=∃⊬3F9","layer":3},{"info":"∃⊬3F9⊠≄⫣=∃⊬0","layer":2},{"info":"≤/∃⊬0=∃⊬1E4","layer":1},{"info":"⊄⩳↩∃⊬1E4=∃⊬-5AC","layer":0}]}
{"id":647,"expression_no_base_symbol":"((∂($3318$⊉≛↸$1102$))↪⪝)⨐⩸⫘(⨑⩽⪐(($1568$⫸⊐$2413$)↺$4281$⨟⋌⩍$1697$))","expression":"((∂(∃⊬CF6⊉≛↸∃⊬44E))↪⪝)⨐⩸⫘(⨑⩽⪐((∃⊬620⫸⊐∃⊬96D)↺∃⊬10B9⨟⋌⩍∃⊬6A1))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":43,"operation_count":8,"complexity_ratio":5.375,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3318,"base":16},"right_expr":{"type":"numeric_atoms","value":1102,"base":16}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1568,"base":16},"right_expr":{"type":"numeric_atoms","value":2413,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4281,"base":16},"right_expr":{"type":"numeric_atoms","value":1697,"base":16}}}}},"used_operators":["fu6greOZ01","l07mrZUIn9","Uaa54Peajs","DZ8iAZOCBD","AF7qkfDlqP","7j4O788W3g","mqXw5SEYmG","rGHVDoGpnC"],"dependent_operators":["3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3318","layer":4},{"info":"number node, value=1102","layer":4},{"info":"compute binary expreesion, left_input=3318, right_input=1102, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6636","layer":3},{"info":"compute unary expreesion, input=6636, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":1},{"info":"number node, value=1568","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1568, right_input=2413, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=9527","layer":3},{"info":"number node, value=4281","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=4281, right_input=1697, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9527, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∂(∃⊬CF6⊉≛↸∃⊬44E))↪⪝)⨐⩸⫘(⨑⩽⪐((∃⊬620⫸⊐∃⊬96D)↺∃⊬10B9⨟⋌⩍∃⊬6A1))=NaN","reverse_text":"NaN=((∂(∃⊬CF6⊉≛↸∃⊬44E))↪⪝)⨐⩸⫘(⨑⩽⪐((∃⊬620⫸⊐∃⊬96D)↺∃⊬10B9⨟⋌⩍∃⊬6A1))","cot":[{"info":"∃⊬CF6⊉≛↸∃⊬44E=∃⊬19EC","layer":3},{"info":"∂∃⊬19EC=NaN","layer":2},{"info":"NaN↪⪝=NaN","layer":1},{"info":"∃⊬620⫸⊐∃⊬96D=∃⊬2537","layer":3},{"info":"∃⊬10B9⨟⋌⩍∃⊬6A1=NaN","layer":3},{"info":"∃⊬2537↺NaN=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":648,"expression_no_base_symbol":"⨑⩽⪐(-$1701$≹⇙⪍$1256$⩷∴($2216$⩠))","expression":"⨑⩽⪐(-∃⊬6A5≹⇙⪍∃⊬4E8⩷∴(∃⊬8A8⩠))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":33,"operation_count":5,"complexity_ratio":6.6,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1701,"base":16},"right_expr":{"type":"numeric_atoms","value":1256,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2216,"base":16}}}}},"used_operators":["AF7qkfDlqP","t8gj7n24qd","9FxExcQeMw","AHs5Up7iyr","sJAwomhLZr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1701","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=1701, right_input=1256, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2216","layer":4},{"info":"compute unary expreesion, input=2216, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', 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":"⨑⩽⪐(-∃⊬6A5≹⇙⪍∃⊬4E8⩷∴(∃⊬8A8⩠))=NaN","reverse_text":"NaN=⨑⩽⪐(-∃⊬6A5≹⇙⪍∃⊬4E8⩷∴(∃⊬8A8⩠))","cot":[{"info":"∃⊬6A5≹⇙⪍∃⊬4E8=NaN","layer":3},{"info":"∃⊬8A8⩠=∃⊬0","layer":3},{"info":"NaN⩷∴∃⊬0=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":649,"expression_no_base_symbol":"((($1027$⩤)≋⫹)↙($7078$⫩⊇)⨰($2847$≧⫂∧$1229$))∼($3592$⨟⋌⩍$5924$∼$2134$⪢$1720$+⇶⊼(($1934$⊉≛↸$4315$)⊭∹↮))","expression":"(((∃⊬403⩤)≋⫹)↙(∃⊬1BA6⫩⊇)⨰(∃⊬B1F≧⫂∧∃⊬4CD))∼(∃⊬E08⨟⋌⩍∃⊬1724∼∃⊬856⪢∃⊬6B8+⇶⊼((∃⊬78E⊉≛↸∃⊬10DB)⊭∹↮))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10122,"operation_count":13,"complexity_ratio":778.6153846153846,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1027,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7078,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2847,"base":16},"right_expr":{"type":"numeric_atoms","value":1229,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3592,"base":16},"right_expr":{"type":"numeric_atoms","value":5924,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2134,"base":16},"right_expr":{"type":"numeric_atoms","value":1720,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1934,"base":16},"right_expr":{"type":"numeric_atoms","value":4315,"base":16}}}}},"used_operators":["DyGG3AbaNP","yyfyN0ffXY","N41Kp7NANJ","Z2TMIBDE3Q","eewbuw0ToL","BjRHVeLaeN","Ph9nP6C5qx","TpPTUOHfaN","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DZ8iAZOCBD"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","Tcnh7f0tEr","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1027","layer":4},{"info":"compute unary expreesion, input=1027, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1027","layer":3},{"info":"compute unary expreesion, input=-1027, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=2054","layer":2},{"info":"number node, value=7078","layer":4},{"info":"compute unary expreesion, input=7078, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7036","layer":3},{"info":"number node, value=2847","layer":4},{"info":"number node, value=1229","layer":4},{"info":"compute binary expreesion, left_input=2847, right_input=1229, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=756","layer":3},{"info":"compute binary expreesion, left_input=-7036, right_input=756, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-7782","layer":2},{"info":"compute binary expreesion, left_input=2054, right_input=-7782, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=23346","layer":1},{"info":"number node, value=3592","layer":4},{"info":"number node, value=5924","layer":4},{"info":"compute binary expreesion, left_input=3592, right_input=5924, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2134","layer":4},{"info":"number node, value=1720","layer":4},{"info":"compute binary expreesion, left_input=2134, right_input=1720, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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":2},{"info":"number node, value=1934","layer":4},{"info":"number node, value=4315","layer":4},{"info":"compute binary expreesion, left_input=1934, right_input=4315, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3868","layer":3},{"info":"compute unary expreesion, input=3868, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7736","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7736, 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=23346, 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":"(((∃⊬403⩤)≋⫹)↙(∃⊬1BA6⫩⊇)⨰(∃⊬B1F≧⫂∧∃⊬4CD))∼(∃⊬E08⨟⋌⩍∃⊬1724∼∃⊬856⪢∃⊬6B8+⇶⊼((∃⊬78E⊉≛↸∃⊬10DB)⊭∹↮))=NaN","reverse_text":"NaN=(((∃⊬403⩤)≋⫹)↙(∃⊬1BA6⫩⊇)⨰(∃⊬B1F≧⫂∧∃⊬4CD))∼(∃⊬E08⨟⋌⩍∃⊬1724∼∃⊬856⪢∃⊬6B8+⇶⊼((∃⊬78E⊉≛↸∃⊬10DB)⊭∹↮))","cot":[{"info":"∃⊬403⩤=∃⊬-403","layer":3},{"info":"∃⊬-403≋⫹=∃⊬806","layer":2},{"info":"∃⊬1BA6⫩⊇=∃⊬-1B7C","layer":3},{"info":"∃⊬B1F≧⫂∧∃⊬4CD=∃⊬2F4","layer":3},{"info":"∃⊬-1B7C⨰∃⊬2F4=∃⊬-1E66","layer":2},{"info":"∃⊬806↙∃⊬-1E66=∃⊬5B32","layer":1},{"info":"∃⊬E08⨟⋌⩍∃⊬1724=NaN","layer":3},{"info":"∃⊬856⪢∃⊬6B8=NaN","layer":3},{"info":"NaN∼NaN=NaN","layer":2},{"info":"∃⊬78E⊉≛↸∃⊬10DB=∃⊬F1C","layer":3},{"info":"∃⊬F1C⊭∹↮=∃⊬1E38","layer":2},{"info":"NaN+⇶⊼∃⊬1E38=NaN","layer":1},{"info":"∃⊬5B32∼NaN=NaN","layer":0}]}
{"id":650,"expression_no_base_symbol":"(($6863$≭$4506$⨎(⨈⫕$6066$))≧⫂∧((⫛⫱⨽$5596$)≣⋋))∑⇟⊟((⨵≀≌$1717$≧⫂∧$5299$)≧⫂∧(($1210$/$3721$)⇼⇔∾($6968$⫡⨏$6014$)))","expression":"((∃⊬1ACF≭∃⊬119A⨎(⨈⫕∃⊬17B2))≧⫂∧((⫛⫱⨽∃⊬15DC)≣⋋))∑⇟⊟((⨵≀≌∃⊬6B5≧⫂∧∃⊬14B3)≧⫂∧((∃⊬4BA/∃⊬E89)⇼⇔∾(∃⊬1B38⫡⨏∃⊬177E)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1831,"operation_count":13,"complexity_ratio":140.84615384615384,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6863,"base":16},"right_expr":{"type":"numeric_atoms","value":4506,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":6066,"base":16}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5596,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1717,"base":16},"right_expr":{"type":"numeric_atoms","value":5299,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1210,"base":16},"right_expr":{"type":"numeric_atoms","value":3721,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":6968,"base":16},"right_expr":{"type":"numeric_atoms","value":6014,"base":16}}}}},"used_operators":["U7g4x0WXJJ","Ph9nP6C5qx","rJVOvQCfKK","rxpJgHHUmx","megm06wKyl","Tcnh7f0tEr","DlLNRPXxWL","srAu1WTS94","tifHPKVTfV","XhwjNDsVaA","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6863","layer":4},{"info":"number node, value=4506","layer":4},{"info":"compute binary expreesion, left_input=6863, right_input=4506, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6066","layer":4},{"info":"compute unary expreesion, input=6066, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-21","layer":2},{"info":"number node, value=5596","layer":4},{"info":"compute unary expreesion, input=5596, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=0, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-473","layer":1},{"info":"number node, value=1717","layer":4},{"info":"number node, value=5299","layer":4},{"info":"compute binary expreesion, left_input=1717, right_input=5299, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4826","layer":3},{"info":"compute unary expreesion, input=4826, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-14478","layer":2},{"info":"number node, value=1210","layer":4},{"info":"number node, value=3721","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=3721, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=6968","layer":4},{"info":"number node, value=6014","layer":4},{"info":"compute binary expreesion, left_input=6968, right_input=6014, 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=47651","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=47651, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=47651","layer":2},{"info":"compute binary expreesion, left_input=-14478, right_input=47651, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=47178","layer":1},{"info":"compute binary expreesion, left_input=-473, right_input=47178, 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":"((∃⊬1ACF≭∃⊬119A⨎(⨈⫕∃⊬17B2))≧⫂∧((⫛⫱⨽∃⊬15DC)≣⋋))∑⇟⊟((⨵≀≌∃⊬6B5≧⫂∧∃⊬14B3)≧⫂∧((∃⊬4BA/∃⊬E89)⇼⇔∾(∃⊬1B38⫡⨏∃⊬177E)))=NaN","reverse_text":"NaN=((∃⊬1ACF≭∃⊬119A⨎(⨈⫕∃⊬17B2))≧⫂∧((⫛⫱⨽∃⊬15DC)≣⋋))∑⇟⊟((⨵≀≌∃⊬6B5≧⫂∧∃⊬14B3)≧⫂∧((∃⊬4BA/∃⊬E89)⇼⇔∾(∃⊬1B38⫡⨏∃⊬177E)))","cot":[{"info":"∃⊬1ACF≭∃⊬119A=NaN","layer":3},{"info":"⨈⫕∃⊬17B2=∃⊬-15","layer":3},{"info":"NaN⨎∃⊬-15=∃⊬-15","layer":2},{"info":"⫛⫱⨽∃⊬15DC=∃⊬0","layer":3},{"info":"∃⊬0≣⋋=∃⊬0","layer":2},{"info":"∃⊬-15≧⫂∧∃⊬0=∃⊬-1D9","layer":1},{"info":"∃⊬6B5≧⫂∧∃⊬14B3=∃⊬12DA","layer":3},{"info":"⨵≀≌∃⊬12DA=∃⊬-388E","layer":2},{"info":"∃⊬4BA/∃⊬E89=∃⊬0","layer":3},{"info":"∃⊬1B38⫡⨏∃⊬177E=∃⊬BA23","layer":3},{"info":"∃⊬0⇼⇔∾∃⊬BA23=∃⊬BA23","layer":2},{"info":"∃⊬-388E≧⫂∧∃⊬BA23=∃⊬B84A","layer":1},{"info":"∃⊬-1D9∑⇟⊟∃⊬B84A=NaN","layer":0}]}
{"id":651,"expression_no_base_symbol":"(⊙↵-($1421$⨰$1609$))⇷($1216$⨰$1385$+⇶⊼$8895$∼$2053$)⪐","expression":"(⊙↵-(∃⊬58D⨰∃⊬649))⇷(∃⊬4C0⨰∃⊬569+⇶⊼∃⊬22BF∼∃⊬805)⪐","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":402,"operation_count":7,"complexity_ratio":57.42857142857143,"tree":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1421,"base":16},"right_expr":{"type":"numeric_atoms","value":1609,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1216,"base":16},"right_expr":{"type":"numeric_atoms","value":1385,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8895,"base":16},"right_expr":{"type":"numeric_atoms","value":2053,"base":16}}}}},"used_operators":["eH2TOUuTDT","mp7IySMOzn","oWn0xqSxBt","eewbuw0ToL","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1421","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=1609, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-178","layer":3},{"info":"compute unary expreesion, input=-178, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=1216","layer":4},{"info":"number node, value=1385","layer":4},{"info":"compute binary expreesion, left_input=1216, right_input=1385, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-159","layer":3},{"info":"number node, value=8895","layer":4},{"info":"number node, value=2053","layer":4},{"info":"compute binary expreesion, left_input=8895, right_input=2053, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-159, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-(∃⊬58D⨰∃⊬649))⇷(∃⊬4C0⨰∃⊬569+⇶⊼∃⊬22BF∼∃⊬805)⪐=NaN","reverse_text":"NaN=(⊙↵-(∃⊬58D⨰∃⊬649))⇷(∃⊬4C0⨰∃⊬569+⇶⊼∃⊬22BF∼∃⊬805)⪐","cot":[{"info":"∃⊬58D⨰∃⊬649=∃⊬-B2","layer":3},{"info":"⊙↵-∃⊬-B2=∃⊬0","layer":2},{"info":"∃⊬4C0⨰∃⊬569=∃⊬-9F","layer":3},{"info":"∃⊬22BF∼∃⊬805=NaN","layer":3},{"info":"∃⊬-9F+⇶⊼NaN=NaN","layer":2},{"info":"∃⊬0⇷NaN=NaN","layer":1},{"info":"NaN⪐=NaN","layer":0}]}
{"id":652,"expression_no_base_symbol":"($3263$⋓$3015$⋝⋈⪟($7095$⨸⪁$4928$)∲⫓($1431$∀⇚≩$3215$≣⋋))∀⇚≩((⋗⩬⋾($1408$⩨$4492$))⨸⪁($4896$+⇶⊼$3051$⪐))","expression":"(∃⊬CBF⋓∃⊬BC7⋝⋈⪟(∃⊬1BB7⨸⪁∃⊬1340)∲⫓(∃⊬597∀⇚≩∃⊬C8F≣⋋))∀⇚≩((⋗⩬⋾(∃⊬580⩨∃⊬118C))⨸⪁(∃⊬1320+⇶⊼∃⊬BEB⪐))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":10058,"operation_count":12,"complexity_ratio":838.1666666666666,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":3263,"base":16},"right_expr":{"type":"numeric_atoms","value":3015,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7095,"base":16},"right_expr":{"type":"numeric_atoms","value":4928,"base":16}}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1431,"base":16},"right_expr":{"type":"numeric_atoms","value":3215,"base":16}}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1408,"base":16},"right_expr":{"type":"numeric_atoms","value":4492,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4896,"base":16},"right_expr":{"type":"numeric_atoms","value":3051,"base":16}}}}},"used_operators":["LRNGc0VcxI","i8ToyICDmI","2DDjHMKMc0","T2fj7uvVaJ","g55IO6H4Gj","Tcnh7f0tEr","DpFCA1CohY","2DlMacCsIx","eH2TOUuTDT","TpPTUOHfaN"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3263","layer":4},{"info":"number node, value=3015","layer":4},{"info":"compute binary expreesion, left_input=3263, right_input=3015, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=7095","layer":4},{"info":"number node, value=4928","layer":4},{"info":"compute binary expreesion, left_input=7095, right_input=4928, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=24046","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=24046, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"number node, value=1431","layer":4},{"info":"number node, value=3215","layer":4},{"info":"compute binary expreesion, left_input=1431, right_input=3215, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"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":1},{"info":"number node, value=1408","layer":4},{"info":"number node, value=4492","layer":4},{"info":"compute binary expreesion, left_input=1408, right_input=4492, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-9","layer":3},{"info":"compute unary expreesion, input=-9, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=27","layer":2},{"info":"number node, value=4896","layer":4},{"info":"number node, value=3051","layer":4},{"info":"compute binary expreesion, left_input=4896, right_input=3051, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=27, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(∃⊬CBF⋓∃⊬BC7⋝⋈⪟(∃⊬1BB7⨸⪁∃⊬1340)∲⫓(∃⊬597∀⇚≩∃⊬C8F≣⋋))∀⇚≩((⋗⩬⋾(∃⊬580⩨∃⊬118C))⨸⪁(∃⊬1320+⇶⊼∃⊬BEB⪐))=NaN","reverse_text":"NaN=(∃⊬CBF⋓∃⊬BC7⋝⋈⪟(∃⊬1BB7⨸⪁∃⊬1340)∲⫓(∃⊬597∀⇚≩∃⊬C8F≣⋋))∀⇚≩((⋗⩬⋾(∃⊬580⩨∃⊬118C))⨸⪁(∃⊬1320+⇶⊼∃⊬BEB⪐))","cot":[{"info":"∃⊬CBF⋓∃⊬BC7=∃⊬0","layer":3},{"info":"∃⊬1BB7⨸⪁∃⊬1340=∃⊬5DEE","layer":3},{"info":"∃⊬0⋝⋈⪟∃⊬5DEE=∃⊬0","layer":2},{"info":"∃⊬597∀⇚≩∃⊬C8F=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"∃⊬0∲⫓NaN=NaN","layer":1},{"info":"∃⊬580⩨∃⊬118C=∃⊬-9","layer":3},{"info":"⋗⩬⋾∃⊬-9=∃⊬1B","layer":2},{"info":"∃⊬1320+⇶⊼∃⊬BEB=NaN","layer":3},{"info":"NaN⪐=NaN","layer":2},{"info":"∃⊬1B⨸⪁NaN=NaN","layer":1},{"info":"NaN∀⇚≩NaN=NaN","layer":0}]}
{"id":653,"expression_no_base_symbol":"⊙↵-((($6693$≭$1705$)∀⇚≩(↩$3639$))∼((∥⊫$2164$)*($2538$∧)))","expression":"⊙↵-(((∃⊬1A25≭∃⊬6A9)∀⇚≩(↩∃⊬E37))∼((∥⊫∃⊬874)*(∃⊬9EA∧)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":59,"operation_count":8,"complexity_ratio":7.375,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6693,"base":16},"right_expr":{"type":"numeric_atoms","value":1705,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3639,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2164,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2538,"base":16}}}}},"used_operators":["oWn0xqSxBt","DyGG3AbaNP","LRNGc0VcxI","rxpJgHHUmx","jLgFTUHLKL","9HNa5Wba9A","P8v4zCKN1o","z63VuFQld9"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6693","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=6693, right_input=1705, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3639","layer":4},{"info":"compute unary expreesion, input=3639, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-26332","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-26332, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2164","layer":4},{"info":"compute unary expreesion, input=2164, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3032","layer":3},{"info":"number node, value=2538","layer":4},{"info":"compute unary expreesion, input=2538, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3032, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":1},{"info":"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":"⊙↵-(((∃⊬1A25≭∃⊬6A9)∀⇚≩(↩∃⊬E37))∼((∥⊫∃⊬874)*(∃⊬9EA∧)))=NaN","reverse_text":"NaN=⊙↵-(((∃⊬1A25≭∃⊬6A9)∀⇚≩(↩∃⊬E37))∼((∥⊫∃⊬874)*(∃⊬9EA∧)))","cot":[{"info":"∃⊬1A25≭∃⊬6A9=NaN","layer":3},{"info":"↩∃⊬E37=∃⊬-66DC","layer":3},{"info":"NaN∀⇚≩∃⊬-66DC=NaN","layer":2},{"info":"∥⊫∃⊬874=∃⊬BD8","layer":3},{"info":"∃⊬9EA∧=NaN","layer":3},{"info":"∃⊬BD8*NaN=NaN","layer":2},{"info":"NaN∼NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":654,"expression_no_base_symbol":"(↯⪼(($2824$%$5165$)⇋≉))⨐⩸⫘(⪲⇎(↩(↥$6574$)))","expression":"(↯⪼((∃⊬B08%∃⊬142D)⇋≉))⨐⩸⫘(⪲⇎(↩(↥∃⊬19AE)))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":182,"operation_count":7,"complexity_ratio":26.0,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2824,"base":16},"right_expr":{"type":"numeric_atoms","value":5165,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":6574,"base":16}}}}},"used_operators":["fu6greOZ01","8jW3W4yZS5","XIabStNQrY","k8jYdgA6NY","XPYlsWDdGa","jLgFTUHLKL","A8NUZmVepG"],"dependent_operators":["3ViojmjbAp","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2824","layer":4},{"info":"number node, value=5165","layer":4},{"info":"compute binary expreesion, left_input=2824, right_input=5165, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2824","layer":3},{"info":"compute unary expreesion, input=2824, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5550","layer":2},{"info":"compute unary expreesion, input=5550, 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=6574","layer":4},{"info":"compute unary expreesion, input=6574, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=46","layer":3},{"info":"compute unary expreesion, input=46, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=2412","layer":2},{"info":"compute unary expreesion, input=2412, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4824","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4824, 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":"(↯⪼((∃⊬B08%∃⊬142D)⇋≉))⨐⩸⫘(⪲⇎(↩(↥∃⊬19AE)))=NaN","reverse_text":"NaN=(↯⪼((∃⊬B08%∃⊬142D)⇋≉))⨐⩸⫘(⪲⇎(↩(↥∃⊬19AE)))","cot":[{"info":"∃⊬B08%∃⊬142D=∃⊬B08","layer":3},{"info":"∃⊬B08⇋≉=∃⊬15AE","layer":2},{"info":"↯⪼∃⊬15AE=∃⊬-15","layer":1},{"info":"↥∃⊬19AE=∃⊬2E","layer":3},{"info":"↩∃⊬2E=∃⊬96C","layer":2},{"info":"⪲⇎∃⊬96C=∃⊬12D8","layer":1},{"info":"∃⊬-15⨐⩸⫘∃⊬12D8=NaN","layer":0}]}
{"id":655,"expression_no_base_symbol":"(($1255$⊉≛↸$2719$)⪢($1210$⊭↱$1001$)⪒((-$1124$)⊠≄⫣))↺(((↣≠⋷$3537$)∸)⨁⊸⫻)","expression":"((∃⊬4E7⊉≛↸∃⊬A9F)⪢(∃⊬4BA⊭↱∃⊬3E9)⪒((-∃⊬464)⊠≄⫣))↺(((↣≠⋷∃⊬DD1)∸)⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1032,"operation_count":10,"complexity_ratio":103.2,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1255,"base":16},"right_expr":{"type":"numeric_atoms","value":2719,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1210,"base":16},"right_expr":{"type":"numeric_atoms","value":1001,"base":16}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1124,"base":16}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3537,"base":16}}}}},"used_operators":["7j4O788W3g","f6k1SAg4EE","dWAJyo7jo9","DZ8iAZOCBD","COABgblf1C","DIvbN7qnHd","t8gj7n24qd","glklzrTFfD","o20kRiQErp","Asc51vEJeQ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","XhwjNDsVaA","AHs5Up7iyr"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1255, right_input=2719, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2510","layer":3},{"info":"number node, value=1210","layer":4},{"info":"number node, value=1001","layer":4},{"info":"compute binary expreesion, left_input=1210, right_input=1001, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-413","layer":3},{"info":"compute binary expreesion, left_input=2510, right_input=-413, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1124","layer":4},{"info":"compute unary expreesion, input=1124, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1124","layer":3},{"info":"compute unary expreesion, input=-1124, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=3537","layer":4},{"info":"compute unary expreesion, input=3537, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=177","layer":0}],"base":16,"result_base":16,"text":"((∃⊬4E7⊉≛↸∃⊬A9F)⪢(∃⊬4BA⊭↱∃⊬3E9)⪒((-∃⊬464)⊠≄⫣))↺(((↣≠⋷∃⊬DD1)∸)⨁⊸⫻)=∃⊬B1","reverse_text":"∃⊬B1=((∃⊬4E7⊉≛↸∃⊬A9F)⪢(∃⊬4BA⊭↱∃⊬3E9)⪒((-∃⊬464)⊠≄⫣))↺(((↣≠⋷∃⊬DD1)∸)⨁⊸⫻)","cot":[{"info":"∃⊬4E7⊉≛↸∃⊬A9F=∃⊬9CE","layer":3},{"info":"∃⊬4BA⊭↱∃⊬3E9=∃⊬-19D","layer":3},{"info":"∃⊬9CE⪢∃⊬-19D=NaN","layer":2},{"info":"-∃⊬464=∃⊬-464","layer":3},{"info":"∃⊬-464⊠≄⫣=∃⊬0","layer":2},{"info":"NaN⪒∃⊬0=NaN","layer":1},{"info":"↣≠⋷∃⊬DD1=NaN","layer":3},{"info":"NaN∸=∃⊬B1","layer":2},{"info":"∃⊬B1⨁⊸⫻=∃⊬B1","layer":1},{"info":"NaN↺∃⊬B1=∃⊬B1","layer":0}]}
{"id":656,"expression_no_base_symbol":"((($5628$⩠)⨐⩸⫘$8836$≧⫂∧$2153$)⨁⊸⫻)⨎(($5808$⪄$1051$)⩚⊴⇥$6887$∀⇚≩$4523$)↬(($4020$/$2791$)⪠⩆⊳)","expression":"(((∃⊬15FC⩠)⨐⩸⫘∃⊬2284≧⫂∧∃⊬869)⨁⊸⫻)⨎((∃⊬16B0⪄∃⊬41B)⩚⊴⇥∃⊬1AE7∀⇚≩∃⊬11AB)↬((∃⊬FB4/∃⊬AE7)⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48337,"operation_count":11,"complexity_ratio":4394.272727272727,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5628,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":8836,"base":16},"right_expr":{"type":"numeric_atoms","value":2153,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5808,"base":16},"right_expr":{"type":"numeric_atoms","value":1051,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6887,"base":16},"right_expr":{"type":"numeric_atoms","value":4523,"base":16}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4020,"base":16},"right_expr":{"type":"numeric_atoms","value":2791,"base":16}}}}},"used_operators":["rJVOvQCfKK","glklzrTFfD","fu6greOZ01","sJAwomhLZr","Ph9nP6C5qx","B5M0gjZbta","NTOWxs364D","SUmda5xLS4","LRNGc0VcxI","JLbD19bQDL","XhwjNDsVaA"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","3ViojmjbAp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5628","layer":4},{"info":"compute unary expreesion, input=5628, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=8836","layer":4},{"info":"number node, value=2153","layer":4},{"info":"compute binary expreesion, left_input=8836, right_input=2153, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1680","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1680, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=5808","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=5808, right_input=1051, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-859877","layer":3},{"info":"number node, value=6887","layer":4},{"info":"number node, value=4523","layer":4},{"info":"compute binary expreesion, left_input=6887, right_input=4523, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-859877, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"number node, value=4020","layer":4},{"info":"number node, value=2791","layer":4},{"info":"compute binary expreesion, left_input=4020, right_input=2791, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬15FC⩠)⨐⩸⫘∃⊬2284≧⫂∧∃⊬869)⨁⊸⫻)⨎((∃⊬16B0⪄∃⊬41B)⩚⊴⇥∃⊬1AE7∀⇚≩∃⊬11AB)↬((∃⊬FB4/∃⊬AE7)⪠⩆⊳)=NaN","reverse_text":"NaN=(((∃⊬15FC⩠)⨐⩸⫘∃⊬2284≧⫂∧∃⊬869)⨁⊸⫻)⨎((∃⊬16B0⪄∃⊬41B)⩚⊴⇥∃⊬1AE7∀⇚≩∃⊬11AB)↬((∃⊬FB4/∃⊬AE7)⪠⩆⊳)","cot":[{"info":"∃⊬15FC⩠=∃⊬0","layer":3},{"info":"∃⊬2284≧⫂∧∃⊬869=∃⊬690","layer":3},{"info":"∃⊬0⨐⩸⫘∃⊬690=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"∃⊬16B0⪄∃⊬41B=∃⊬-D1EE5","layer":3},{"info":"∃⊬1AE7∀⇚≩∃⊬11AB=NaN","layer":3},{"info":"∃⊬-D1EE5⩚⊴⇥NaN=NaN","layer":2},{"info":"∃⊬FB4/∃⊬AE7=∃⊬1","layer":3},{"info":"∃⊬1⪠⩆⊳=∃⊬0","layer":2},{"info":"NaN↬∃⊬0=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":657,"expression_no_base_symbol":"(⨰⫟⨤(⪝⪂⫅($3745$⋥≓≎$2347$)))/($1815$∑⇟⊟$1013$≣⋋)≎⊠⪸(⪝⪂⫅($2716$+$3732$))","expression":"(⨰⫟⨤(⪝⪂⫅(∃⊬EA1⋥≓≎∃⊬92B)))/(∃⊬717∑⇟⊟∃⊬3F5≣⋋)≎⊠⪸(⪝⪂⫅(∃⊬A9C+∃⊬E94))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":578630,"operation_count":9,"complexity_ratio":64292.22222222222,"tree":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3745,"base":16},"right_expr":{"type":"numeric_atoms","value":2347,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1815,"base":16},"right_expr":{"type":"numeric_atoms","value":1013,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2716,"base":16},"right_expr":{"type":"numeric_atoms","value":3732,"base":16}}}}},"used_operators":["XhwjNDsVaA","Tw270M8GLb","XTarYq4gQB","Qy55tPpLXF","bJkvcejdHO","Tcnh7f0tEr","U7g4x0WXJJ","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3745","layer":4},{"info":"number node, value=2347","layer":4},{"info":"compute binary expreesion, left_input=3745, right_input=2347, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=982","layer":3},{"info":"compute unary expreesion, input=982, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-144354","layer":2},{"info":"compute unary expreesion, input=-144354, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1815","layer":4},{"info":"number node, value=1013","layer":4},{"info":"compute binary expreesion, left_input=1815, right_input=1013, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":2},{"info":"number node, value=2716","layer":4},{"info":"number node, value=3732","layer":4},{"info":"compute binary expreesion, left_input=2716, right_input=3732, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6448","layer":3},{"info":"compute unary expreesion, input=6448, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-947856","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-947856, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨰⫟⨤(⪝⪂⫅(∃⊬EA1⋥≓≎∃⊬92B)))/(∃⊬717∑⇟⊟∃⊬3F5≣⋋)≎⊠⪸(⪝⪂⫅(∃⊬A9C+∃⊬E94))=NaN","reverse_text":"NaN=(⨰⫟⨤(⪝⪂⫅(∃⊬EA1⋥≓≎∃⊬92B)))/(∃⊬717∑⇟⊟∃⊬3F5≣⋋)≎⊠⪸(⪝⪂⫅(∃⊬A9C+∃⊬E94))","cot":[{"info":"∃⊬EA1⋥≓≎∃⊬92B=∃⊬3D6","layer":3},{"info":"⪝⪂⫅∃⊬3D6=∃⊬-233E2","layer":2},{"info":"⨰⫟⨤∃⊬-233E2=NaN","layer":1},{"info":"∃⊬717∑⇟⊟∃⊬3F5=NaN","layer":3},{"info":"NaN≣⋋=NaN","layer":2},{"info":"∃⊬A9C+∃⊬E94=∃⊬1930","layer":3},{"info":"⪝⪂⫅∃⊬1930=∃⊬-E7690","layer":2},{"info":"NaN≎⊠⪸∃⊬-E7690=∃⊬43","layer":1},{"info":"NaN/∃⊬43=NaN","layer":0}]}
{"id":658,"expression_no_base_symbol":"((⊥(⋗⩬⋾$1240$))⫸⊐(($1464$⩤)⋫))↬(($2855$⨽$2258$/$2562$≎⊠⪸$4860$)⨰($2564$⋝⋈⪟$1176$∲⫓(⊙↵-$1724$)))","expression":"((⊥(⋗⩬⋾∃⊬4D8))⫸⊐((∃⊬5B8⩤)⋫))↬((∃⊬B27⨽∃⊬8D2/∃⊬A02≎⊠⪸∃⊬12FC)⨰(∃⊬A04⋝⋈⪟∃⊬498∲⫓(⊙↵-∃⊬6BC)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6424,"operation_count":13,"complexity_ratio":494.15384615384613,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1240,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1464,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2855,"base":16},"right_expr":{"type":"numeric_atoms","value":2258,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2562,"base":16},"right_expr":{"type":"numeric_atoms","value":4860,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2564,"base":16},"right_expr":{"type":"numeric_atoms","value":1176,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1724,"base":16}}}}},"used_operators":["B5M0gjZbta","mqXw5SEYmG","Q3PJZHRvZv","DpFCA1CohY","JL8yIekQnl","Z2TMIBDE3Q","eewbuw0ToL","XhwjNDsVaA","8HhzD0ZcuI","bJkvcejdHO","i8ToyICDmI","2DDjHMKMc0","oWn0xqSxBt"],"dependent_operators":["rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3720","layer":3},{"info":"compute unary expreesion, input=-3720, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=1464","layer":4},{"info":"compute unary expreesion, input=1464, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1464","layer":3},{"info":"compute unary expreesion, input=-1464, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=-1464","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1464, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=2855","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=2258, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-24458535","layer":3},{"info":"number node, value=2562","layer":4},{"info":"number node, value=4860","layer":4},{"info":"compute binary expreesion, left_input=2562, right_input=4860, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=663085","layer":3},{"info":"compute binary expreesion, left_input=-24458535, right_input=663085, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-37","layer":2},{"info":"number node, value=2564","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=2564, right_input=1176, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2564","layer":3},{"info":"number node, value=1724","layer":4},{"info":"compute unary expreesion, input=1724, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=2564, right_input=-1, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=2564","layer":2},{"info":"compute binary expreesion, left_input=-37, right_input=2564, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2591","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2591, 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":"((⊥(⋗⩬⋾∃⊬4D8))⫸⊐((∃⊬5B8⩤)⋫))↬((∃⊬B27⨽∃⊬8D2/∃⊬A02≎⊠⪸∃⊬12FC)⨰(∃⊬A04⋝⋈⪟∃⊬498∲⫓(⊙↵-∃⊬6BC)))=NaN","reverse_text":"NaN=((⊥(⋗⩬⋾∃⊬4D8))⫸⊐((∃⊬5B8⩤)⋫))↬((∃⊬B27⨽∃⊬8D2/∃⊬A02≎⊠⪸∃⊬12FC)⨰(∃⊬A04⋝⋈⪟∃⊬498∲⫓(⊙↵-∃⊬6BC)))","cot":[{"info":"⋗⩬⋾∃⊬4D8=∃⊬-E88","layer":3},{"info":"⊥∃⊬-E88=NaN","layer":2},{"info":"∃⊬5B8⩤=∃⊬-5B8","layer":3},{"info":"∃⊬-5B8⋫=∃⊬-5B8","layer":2},{"info":"NaN⫸⊐∃⊬-5B8=NaN","layer":1},{"info":"∃⊬B27⨽∃⊬8D2=∃⊬-1753527","layer":3},{"info":"∃⊬A02≎⊠⪸∃⊬12FC=∃⊬A1E2D","layer":3},{"info":"∃⊬-1753527/∃⊬A1E2D=∃⊬-25","layer":2},{"info":"∃⊬A04⋝⋈⪟∃⊬498=∃⊬A04","layer":3},{"info":"⊙↵-∃⊬6BC=∃⊬-1","layer":3},{"info":"∃⊬A04∲⫓∃⊬-1=∃⊬A04","layer":2},{"info":"∃⊬-25⨰∃⊬A04=∃⊬-A1F","layer":1},{"info":"NaN↬∃⊬-A1F=NaN","layer":0}]}
{"id":659,"expression_no_base_symbol":"(⫓⪴$7112$⪮%⊝$2502$⪘⫢(⊙↵-$2944$))%(≉(≉$4111$)∑⇟⊟($2061$≧⫂∧$1605$))","expression":"(⫓⪴∃⊬1BC8⪮%⊝∃⊬9C6⪘⫢(⊙↵-∃⊬B80))%(≉(≉∃⊬100F)∑⇟⊟(∃⊬80D≧⫂∧∃⊬645))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3015,"operation_count":9,"complexity_ratio":335.0,"tree":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7112,"base":16},"right_expr":{"type":"numeric_atoms","value":2502,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2944,"base":16}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4111,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2061,"base":16},"right_expr":{"type":"numeric_atoms","value":1605,"base":16}}}}},"used_operators":["k8jYdgA6NY","eLxqMNBOBk","oacrs7FA3X","IWmyXbctLI","oWn0xqSxBt","e1ybzncUwg","U7g4x0WXJJ","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7112","layer":4},{"info":"number node, value=2502","layer":4},{"info":"compute binary expreesion, left_input=7112, right_input=2502, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14540","layer":3},{"info":"number node, value=2944","layer":4},{"info":"compute unary expreesion, input=2944, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=14540, right_input=-1, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":1},{"info":"number node, value=4111","layer":4},{"info":"compute unary expreesion, input=4111, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=4642","layer":3},{"info":"number node, value=2061","layer":4},{"info":"number node, value=1605","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=1605, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1132","layer":3},{"info":"compute binary expreesion, left_input=4642, right_input=1132, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , 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":"(⫓⪴∃⊬1BC8⪮%⊝∃⊬9C6⪘⫢(⊙↵-∃⊬B80))%(≉(≉∃⊬100F)∑⇟⊟(∃⊬80D≧⫂∧∃⊬645))=NaN","reverse_text":"NaN=(⫓⪴∃⊬1BC8⪮%⊝∃⊬9C6⪘⫢(⊙↵-∃⊬B80))%(≉(≉∃⊬100F)∑⇟⊟(∃⊬80D≧⫂∧∃⊬645))","cot":[{"info":"∃⊬1BC8⪮%⊝∃⊬9C6=∃⊬38CC","layer":3},{"info":"⊙↵-∃⊬B80=∃⊬-1","layer":3},{"info":"∃⊬38CC⪘⫢∃⊬-1=∃⊬0","layer":2},{"info":"⫓⪴∃⊬0=∃⊬0","layer":1},{"info":"≉∃⊬100F=∃⊬1222","layer":3},{"info":"∃⊬80D≧⫂∧∃⊬645=∃⊬46C","layer":3},{"info":"∃⊬1222∑⇟⊟∃⊬46C=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"∃⊬0%NaN=NaN","layer":0}]}
{"id":660,"expression_no_base_symbol":"↩($2257$≧⫂∧$1223$)⪘⫢($6208$%$4132$)⩚⊴⇥(($6328$⪨≂$2506$)⨽($2827$⪄$4760$))","expression":"↩(∃⊬8D1≧⫂∧∃⊬4C7)⪘⫢(∃⊬1840%∃⊬1024)⩚⊴⇥((∃⊬18B8⪨≂∃⊬9CA)⨽(∃⊬B0B⪄∃⊬1298))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7891,"operation_count":8,"complexity_ratio":986.375,"tree":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2257,"base":16},"right_expr":{"type":"numeric_atoms","value":1223,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":6208,"base":16},"right_expr":{"type":"numeric_atoms","value":4132,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6328,"base":16},"right_expr":{"type":"numeric_atoms","value":2506,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2827,"base":16},"right_expr":{"type":"numeric_atoms","value":4760,"base":16}}}}},"used_operators":["jLgFTUHLKL","NTOWxs364D","oacrs7FA3X","Ph9nP6C5qx","k8jYdgA6NY","8HhzD0ZcuI","sdazOOVcIp","SUmda5xLS4"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-5535B2B4","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2257","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=2257, right_input=1223, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=750","layer":3},{"info":"number node, value=6208","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=6208, right_input=4132, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2076","layer":3},{"info":"compute binary expreesion, left_input=750, right_input=2076, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=1376","layer":2},{"info":"number node, value=6328","layer":4},{"info":"number node, value=2506","layer":4},{"info":"compute binary expreesion, left_input=6328, right_input=2506, 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=7746","layer":3},{"info":"number node, value=2827","layer":4},{"info":"number node, value=4760","layer":4},{"info":"compute binary expreesion, left_input=2827, right_input=4760, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-433525","layer":3},{"info":"compute binary expreesion, left_input=7746, right_input=-433525, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-178699659","layer":2},{"info":"compute binary expreesion, left_input=1376, right_input=-178699659, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=178698162","layer":1},{"info":"compute unary expreesion, input=178698162, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-1429582516","layer":0}],"base":16,"result_base":16,"text":"↩(∃⊬8D1≧⫂∧∃⊬4C7)⪘⫢(∃⊬1840%∃⊬1024)⩚⊴⇥((∃⊬18B8⪨≂∃⊬9CA)⨽(∃⊬B0B⪄∃⊬1298))=∃⊬-5535B2B4","reverse_text":"∃⊬-5535B2B4=↩(∃⊬8D1≧⫂∧∃⊬4C7)⪘⫢(∃⊬1840%∃⊬1024)⩚⊴⇥((∃⊬18B8⪨≂∃⊬9CA)⨽(∃⊬B0B⪄∃⊬1298))","cot":[{"info":"∃⊬8D1≧⫂∧∃⊬4C7=∃⊬2EE","layer":3},{"info":"∃⊬1840%∃⊬1024=∃⊬81C","layer":3},{"info":"∃⊬2EE⪘⫢∃⊬81C=∃⊬560","layer":2},{"info":"∃⊬18B8⪨≂∃⊬9CA=∃⊬1E42","layer":3},{"info":"∃⊬B0B⪄∃⊬1298=∃⊬-69D75","layer":3},{"info":"∃⊬1E42⨽∃⊬-69D75=∃⊬-AA6BD8B","layer":2},{"info":"∃⊬560⩚⊴⇥∃⊬-AA6BD8B=∃⊬AA6B7B2","layer":1},{"info":"↩∃⊬AA6B7B2=∃⊬-5535B2B4","layer":0}]}
{"id":661,"expression_no_base_symbol":"(≉($2583$+$7736$))⋥≓≎($1057$⋓$1190$⪨≂(⨑⩽⪐$2796$))≋⫹","expression":"(≉(∃⊬A17+∃⊬1E38))⋥≓≎(∃⊬421⋓∃⊬4A6⪨≂(⨑⩽⪐∃⊬AEC))≋⫹","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32,"operation_count":7,"complexity_ratio":4.571428571428571,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2583,"base":16},"right_expr":{"type":"numeric_atoms","value":7736,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1057,"base":16},"right_expr":{"type":"numeric_atoms","value":1190,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2796,"base":16}}}}},"used_operators":["N41Kp7NANJ","Qy55tPpLXF","e1ybzncUwg","W4YGzv6Whe","sdazOOVcIp","T2fj7uvVaJ","AF7qkfDlqP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬412","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2583","layer":4},{"info":"number node, value=7736","layer":4},{"info":"compute binary expreesion, left_input=2583, right_input=7736, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10319","layer":3},{"info":"compute unary expreesion, input=10319, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=10850","layer":2},{"info":"number node, value=1057","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1057, right_input=1190, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2796","layer":4},{"info":"compute unary expreesion, input=2796, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2523","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2523, 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=5148","layer":2},{"info":"compute binary expreesion, left_input=10850, right_input=5148, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-521","layer":1},{"info":"compute unary expreesion, input=-521, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=1042","layer":0}],"base":16,"result_base":16,"text":"(≉(∃⊬A17+∃⊬1E38))⋥≓≎(∃⊬421⋓∃⊬4A6⪨≂(⨑⩽⪐∃⊬AEC))≋⫹=∃⊬412","reverse_text":"∃⊬412=(≉(∃⊬A17+∃⊬1E38))⋥≓≎(∃⊬421⋓∃⊬4A6⪨≂(⨑⩽⪐∃⊬AEC))≋⫹","cot":[{"info":"∃⊬A17+∃⊬1E38=∃⊬284F","layer":3},{"info":"≉∃⊬284F=∃⊬2A62","layer":2},{"info":"∃⊬421⋓∃⊬4A6=∃⊬0","layer":3},{"info":"⨑⩽⪐∃⊬AEC=∃⊬-9DB","layer":3},{"info":"∃⊬0⪨≂∃⊬-9DB=∃⊬141C","layer":2},{"info":"∃⊬2A62⋥≓≎∃⊬141C=∃⊬-209","layer":1},{"info":"∃⊬-209≋⫹=∃⊬412","layer":0}]}
{"id":662,"expression_no_base_symbol":"((($2430$⋫)⋷$1073$⋓$1027$)≋⫹)⋓(↽≂(($1223$⋷$4510$)⊘))","expression":"(((∃⊬97E⋫)⋷∃⊬431⋓∃⊬403)≋⫹)⋓(↽≂((∃⊬4C7⋷∃⊬119E)⊘))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2487,"operation_count":8,"complexity_ratio":310.875,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2430,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1073,"base":16},"right_expr":{"type":"numeric_atoms","value":1027,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1223,"base":16},"right_expr":{"type":"numeric_atoms","value":4510,"base":16}}}}},"used_operators":["T2fj7uvVaJ","N41Kp7NANJ","23Mk6UjR3U","JL8yIekQnl","u6S6b8DprG","gu96TGCTMs"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2430","layer":4},{"info":"compute unary expreesion, input=2430, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2430","layer":3},{"info":"number node, value=1073","layer":4},{"info":"number node, value=1027","layer":4},{"info":"compute binary expreesion, left_input=1073, right_input=1027, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2430, right_input=0, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2430","layer":2},{"info":"compute unary expreesion, input=-2430, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=4860","layer":1},{"info":"number node, value=1223","layer":4},{"info":"number node, value=4510","layer":4},{"info":"compute binary expreesion, left_input=1223, right_input=4510, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=7797","layer":3},{"info":"compute unary expreesion, input=7797, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=4860, 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":"(((∃⊬97E⋫)⋷∃⊬431⋓∃⊬403)≋⫹)⋓(↽≂((∃⊬4C7⋷∃⊬119E)⊘))=∃⊬0","reverse_text":"∃⊬0=(((∃⊬97E⋫)⋷∃⊬431⋓∃⊬403)≋⫹)⋓(↽≂((∃⊬4C7⋷∃⊬119E)⊘))","cot":[{"info":"∃⊬97E⋫=∃⊬97E","layer":3},{"info":"∃⊬431⋓∃⊬403=∃⊬0","layer":3},{"info":"∃⊬97E⋷∃⊬0=∃⊬-97E","layer":2},{"info":"∃⊬-97E≋⫹=∃⊬12FC","layer":1},{"info":"∃⊬4C7⋷∃⊬119E=∃⊬1E75","layer":3},{"info":"∃⊬1E75⊘=∃⊬0","layer":2},{"info":"↽≂∃⊬0=∃⊬0","layer":1},{"info":"∃⊬12FC⋓∃⊬0=∃⊬0","layer":0}]}
{"id":663,"expression_no_base_symbol":"((⊙↵-(⪲⇎$6384$))⪢(($5128$↺$5477$)+⇶⊼$1174$⇷$3849$))⪮%⊝(($2276$∀⇚≩$1812$⋥≓≎$3932$+⇶⊼$1066$)∑⇟⊟(($1933$≦≮≮)≎⊠⪸$5767$⨪↰⇹$2292$))","expression":"((⊙↵-(⪲⇎∃⊬18F0))⪢((∃⊬1408↺∃⊬1565)+⇶⊼∃⊬496⇷∃⊬F09))⪮%⊝((∃⊬8E4∀⇚≩∃⊬714⋥≓≎∃⊬F5C+⇶⊼∃⊬42A)∑⇟⊟((∃⊬78D≦≮≮)≎⊠⪸∃⊬1687⨪↰⇹∃⊬8F4))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51248,"operation_count":14,"complexity_ratio":3660.5714285714284,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":6384,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":5128,"base":16},"right_expr":{"type":"numeric_atoms","value":5477,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1174,"base":16},"right_expr":{"type":"numeric_atoms","value":3849,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2276,"base":16},"right_expr":{"type":"numeric_atoms","value":1812,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3932,"base":16},"right_expr":{"type":"numeric_atoms","value":1066,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1933,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5767,"base":16},"right_expr":{"type":"numeric_atoms","value":2292,"base":16}}}}},"used_operators":["IWmyXbctLI","dWAJyo7jo9","oWn0xqSxBt","XPYlsWDdGa","TpPTUOHfaN","7j4O788W3g","mp7IySMOzn","U7g4x0WXJJ","Qy55tPpLXF","LRNGc0VcxI","bJkvcejdHO","D4vGDi5EA2","tmPS8pqC7x"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6384","layer":4},{"info":"compute unary expreesion, input=6384, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=12768","layer":3},{"info":"compute unary expreesion, input=12768, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=5128","layer":4},{"info":"number node, value=5477","layer":4},{"info":"compute binary expreesion, left_input=5128, right_input=5477, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5477","layer":3},{"info":"number node, value=1174","layer":4},{"info":"number node, value=3849","layer":4},{"info":"compute binary expreesion, left_input=1174, right_input=3849, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7698","layer":3},{"info":"compute binary expreesion, left_input=5477, right_input=7698, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2276","layer":4},{"info":"number node, value=1812","layer":4},{"info":"compute binary expreesion, left_input=2276, right_input=1812, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3932","layer":4},{"info":"number node, value=1066","layer":4},{"info":"compute binary expreesion, left_input=3932, right_input=1066, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=1933","layer":4},{"info":"compute unary expreesion, input=1933, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5799","layer":3},{"info":"number node, value=5767","layer":4},{"info":"number node, value=2292","layer":4},{"info":"compute binary expreesion, left_input=5767, right_input=2292, 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=5767","layer":3},{"info":"compute binary expreesion, left_input=-5799, right_input=5767, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1501941","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=1501941, 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 = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊙↵-(⪲⇎∃⊬18F0))⪢((∃⊬1408↺∃⊬1565)+⇶⊼∃⊬496⇷∃⊬F09))⪮%⊝((∃⊬8E4∀⇚≩∃⊬714⋥≓≎∃⊬F5C+⇶⊼∃⊬42A)∑⇟⊟((∃⊬78D≦≮≮)≎⊠⪸∃⊬1687⨪↰⇹∃⊬8F4))=NaN","reverse_text":"NaN=((⊙↵-(⪲⇎∃⊬18F0))⪢((∃⊬1408↺∃⊬1565)+⇶⊼∃⊬496⇷∃⊬F09))⪮%⊝((∃⊬8E4∀⇚≩∃⊬714⋥≓≎∃⊬F5C+⇶⊼∃⊬42A)∑⇟⊟((∃⊬78D≦≮≮)≎⊠⪸∃⊬1687⨪↰⇹∃⊬8F4))","cot":[{"info":"⪲⇎∃⊬18F0=∃⊬31E0","layer":3},{"info":"⊙↵-∃⊬31E0=∃⊬-1","layer":2},{"info":"∃⊬1408↺∃⊬1565=∃⊬1565","layer":3},{"info":"∃⊬496⇷∃⊬F09=∃⊬1E12","layer":3},{"info":"∃⊬1565+⇶⊼∃⊬1E12=NaN","layer":2},{"info":"∃⊬-1⪢NaN=NaN","layer":1},{"info":"∃⊬8E4∀⇚≩∃⊬714=NaN","layer":3},{"info":"∃⊬F5C+⇶⊼∃⊬42A=NaN","layer":3},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":2},{"info":"∃⊬78D≦≮≮=∃⊬-16A7","layer":3},{"info":"∃⊬1687⨪↰⇹∃⊬8F4=∃⊬1687","layer":3},{"info":"∃⊬-16A7≎⊠⪸∃⊬1687=∃⊬16EAF5","layer":2},{"info":"∃⊬43∑⇟⊟∃⊬16EAF5=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":664,"expression_no_base_symbol":"(((≤/$1729$)/(↣≠⋷$1220$))⨳⩥⨓(⨈⫕($1046$*$1343$)))∸","expression":"(((≤/∃⊬6C1)/(↣≠⋷∃⊬4C4))⨳⩥⨓(⨈⫕(∃⊬416*∃⊬53F)))∸","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1617,"operation_count":7,"complexity_ratio":231.0,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1729,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1220,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1046,"base":16},"right_expr":{"type":"numeric_atoms","value":1343,"base":16}}}}},"used_operators":["o20kRiQErp","nCS4ZIUYfx","XhwjNDsVaA","eLAdDNolq6","Asc51vEJeQ","megm06wKyl","9HNa5Wba9A"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1729","layer":4},{"info":"compute unary expreesion, input=1729, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1245","layer":3},{"info":"number node, value=1220","layer":4},{"info":"compute unary expreesion, input=1220, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1245, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1046","layer":4},{"info":"number node, value=1343","layer":4},{"info":"compute binary expreesion, left_input=1046, right_input=1343, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1404778","layer":3},{"info":"compute unary expreesion, input=1404778, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"(((≤/∃⊬6C1)/(↣≠⋷∃⊬4C4))⨳⩥⨓(⨈⫕(∃⊬416*∃⊬53F)))∸=∃⊬B1","reverse_text":"∃⊬B1=(((≤/∃⊬6C1)/(↣≠⋷∃⊬4C4))⨳⩥⨓(⨈⫕(∃⊬416*∃⊬53F)))∸","cot":[{"info":"≤/∃⊬6C1=∃⊬-4DD","layer":3},{"info":"↣≠⋷∃⊬4C4=NaN","layer":3},{"info":"∃⊬-4DD/NaN=NaN","layer":2},{"info":"∃⊬416*∃⊬53F=∃⊬156F6A","layer":3},{"info":"⨈⫕∃⊬156F6A=∃⊬-15","layer":2},{"info":"NaN⨳⩥⨓∃⊬-15=NaN","layer":1},{"info":"NaN∸=∃⊬B1","layer":0}]}
{"id":665,"expression_no_base_symbol":"((⊙↵-(↩$1265$))⨽($2421$↺$1504$)⪢($2881$⫡⨏$1497$))∑⇟⊟((($4884$⨸⪁$1085$)⪄($3144$⩨$4350$))⋓($2110$⫡⨏$1902$)∑⇟⊟($3717$↪⪝))","expression":"((⊙↵-(↩∃⊬4F1))⨽(∃⊬975↺∃⊬5E0)⪢(∃⊬B41⫡⨏∃⊬5D9))∑⇟⊟(((∃⊬1314⨸⪁∃⊬43D)⪄(∃⊬C48⩨∃⊬10FE))⋓(∃⊬83E⫡⨏∃⊬76E)∑⇟⊟(∃⊬E85↪⪝))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":26608,"operation_count":14,"complexity_ratio":1900.5714285714287,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1265,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2421,"base":16},"right_expr":{"type":"numeric_atoms","value":1504,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2881,"base":16},"right_expr":{"type":"numeric_atoms","value":1497,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4884,"base":16},"right_expr":{"type":"numeric_atoms","value":1085,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3144,"base":16},"right_expr":{"type":"numeric_atoms","value":4350,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2110,"base":16},"right_expr":{"type":"numeric_atoms","value":1902,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3717,"base":16}}}}},"used_operators":["U7g4x0WXJJ","8HhzD0ZcuI","oWn0xqSxBt","jLgFTUHLKL","dWAJyo7jo9","7j4O788W3g","QMFrweE19q","T2fj7uvVaJ","SUmda5xLS4","g55IO6H4Gj","2DlMacCsIx","l07mrZUIn9"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-7340","layer":3},{"info":"compute unary expreesion, input=-7340, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=2421","layer":4},{"info":"number node, value=1504","layer":4},{"info":"compute binary expreesion, left_input=2421, right_input=1504, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1504","layer":3},{"info":"number node, value=2881","layer":4},{"info":"number node, value=1497","layer":4},{"info":"compute binary expreesion, left_input=2881, right_input=1497, 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=18182","layer":3},{"info":"compute binary expreesion, left_input=1504, right_input=18182, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=4884","layer":4},{"info":"number node, value=1085","layer":4},{"info":"compute binary expreesion, left_input=4884, right_input=1085, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=11938","layer":3},{"info":"number node, value=3144","layer":4},{"info":"number node, value=4350","layer":4},{"info":"compute binary expreesion, left_input=3144, right_input=4350, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=11938, right_input=-3, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1762901","layer":2},{"info":"number node, value=2110","layer":4},{"info":"number node, value=1902","layer":4},{"info":"compute binary expreesion, left_input=2110, right_input=1902, 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=15137","layer":3},{"info":"number node, value=3717","layer":4},{"info":"compute unary expreesion, input=3717, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=227413494","layer":3},{"info":"compute binary expreesion, left_input=15137, right_input=227413494, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1762901, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊙↵-(↩∃⊬4F1))⨽(∃⊬975↺∃⊬5E0)⪢(∃⊬B41⫡⨏∃⊬5D9))∑⇟⊟(((∃⊬1314⨸⪁∃⊬43D)⪄(∃⊬C48⩨∃⊬10FE))⋓(∃⊬83E⫡⨏∃⊬76E)∑⇟⊟(∃⊬E85↪⪝))=NaN","reverse_text":"NaN=((⊙↵-(↩∃⊬4F1))⨽(∃⊬975↺∃⊬5E0)⪢(∃⊬B41⫡⨏∃⊬5D9))∑⇟⊟(((∃⊬1314⨸⪁∃⊬43D)⪄(∃⊬C48⩨∃⊬10FE))⋓(∃⊬83E⫡⨏∃⊬76E)∑⇟⊟(∃⊬E85↪⪝))","cot":[{"info":"↩∃⊬4F1=∃⊬-1CAC","layer":3},{"info":"⊙↵-∃⊬-1CAC=∃⊬C4","layer":2},{"info":"∃⊬975↺∃⊬5E0=∃⊬5E0","layer":3},{"info":"∃⊬B41⫡⨏∃⊬5D9=∃⊬4706","layer":3},{"info":"∃⊬5E0⪢∃⊬4706=NaN","layer":2},{"info":"∃⊬C4⨽NaN=NaN","layer":1},{"info":"∃⊬1314⨸⪁∃⊬43D=∃⊬2EA2","layer":3},{"info":"∃⊬C48⩨∃⊬10FE=∃⊬-3","layer":3},{"info":"∃⊬2EA2⪄∃⊬-3=∃⊬-1AE655","layer":2},{"info":"∃⊬83E⫡⨏∃⊬76E=∃⊬3B21","layer":3},{"info":"∃⊬E85↪⪝=∃⊬D8E0DF6","layer":3},{"info":"∃⊬3B21∑⇟⊟∃⊬D8E0DF6=NaN","layer":2},{"info":"∃⊬-1AE655⋓NaN=NaN","layer":1},{"info":"NaN∑⇟⊟NaN=NaN","layer":0}]}
{"id":666,"expression_no_base_symbol":"(($1204$⪄$4626$)⫥∨⫟(+⊝⨔$6894$)⫸⊐(⩦⩻⨪$1348$⪮%⊝$1228$))⨟⋌⩍(⩦⩻⨪($3695$⊴$3039$)≹⇙⪍($5996$%$1031$))","expression":"((∃⊬4B4⪄∃⊬1212)⫥∨⫟(+⊝⨔∃⊬1AEE)⫸⊐(⩦⩻⨪∃⊬544⪮%⊝∃⊬4CC))⨟⋌⩍(⩦⩻⨪(∃⊬E6F⊴∃⊬BDF)≹⇙⪍(∃⊬176C%∃⊬407))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":711855,"operation_count":11,"complexity_ratio":64714.09090909091,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1204,"base":16},"right_expr":{"type":"numeric_atoms","value":4626,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6894,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1348,"base":16},"right_expr":{"type":"numeric_atoms","value":1228,"base":16}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3695,"base":16},"right_expr":{"type":"numeric_atoms","value":3039,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":5996,"base":16},"right_expr":{"type":"numeric_atoms","value":1031,"base":16}}}}},"used_operators":["rGHVDoGpnC","mqXw5SEYmG","KYD54nUTWz","SUmda5xLS4","DhbWaqg5eL","2td37pGCOC","IWmyXbctLI","AHs5Up7iyr","Nsiff2A1zJ","k8jYdgA6NY"],"dependent_operators":["Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1204","layer":4},{"info":"number node, value=4626","layer":4},{"info":"compute binary expreesion, left_input=1204, right_input=4626, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-192785","layer":3},{"info":"number node, value=6894","layer":4},{"info":"compute unary expreesion, input=6894, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-192785, right_input=1522, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1348","layer":4},{"info":"number node, value=1228","layer":4},{"info":"compute binary expreesion, left_input=1348, right_input=1228, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3012","layer":3},{"info":"compute unary expreesion, input=3012, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3012","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3012, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3695","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=3039, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5996","layer":4},{"info":"number node, value=1031","layer":4},{"info":"compute binary expreesion, left_input=5996, right_input=1031, op_id = k8jYdgA6NY binary_op_definition= 'None', output=841","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=841, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬4B4⪄∃⊬1212)⫥∨⫟(+⊝⨔∃⊬1AEE)⫸⊐(⩦⩻⨪∃⊬544⪮%⊝∃⊬4CC))⨟⋌⩍(⩦⩻⨪(∃⊬E6F⊴∃⊬BDF)≹⇙⪍(∃⊬176C%∃⊬407))=NaN","reverse_text":"NaN=((∃⊬4B4⪄∃⊬1212)⫥∨⫟(+⊝⨔∃⊬1AEE)⫸⊐(⩦⩻⨪∃⊬544⪮%⊝∃⊬4CC))⨟⋌⩍(⩦⩻⨪(∃⊬E6F⊴∃⊬BDF)≹⇙⪍(∃⊬176C%∃⊬407))","cot":[{"info":"∃⊬4B4⪄∃⊬1212=∃⊬-2F111","layer":3},{"info":"+⊝⨔∃⊬1AEE=∃⊬5F2","layer":3},{"info":"∃⊬-2F111⫥∨⫟∃⊬5F2=NaN","layer":2},{"info":"∃⊬544⪮%⊝∃⊬4CC=∃⊬BC4","layer":3},{"info":"⩦⩻⨪∃⊬BC4=∃⊬BC4","layer":2},{"info":"NaN⫸⊐∃⊬BC4=NaN","layer":1},{"info":"∃⊬E6F⊴∃⊬BDF=NaN","layer":3},{"info":"∃⊬176C%∃⊬407=∃⊬349","layer":3},{"info":"NaN≹⇙⪍∃⊬349=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":667,"expression_no_base_symbol":"((($2964$⊭∹↮)≦≮≮)↙(⊄⩳↩(⫛⫱⨽$1937$)))⊴(($2230$⊉≛↸$7007$)⪢($2144$⩨$1277$)-($2916$⊭∹↮)⨓$1990$⪮%⊝$3920$)","expression":"(((∃⊬B94⊭∹↮)≦≮≮)↙(⊄⩳↩(⫛⫱⨽∃⊬791)))⊴((∃⊬8B6⊉≛↸∃⊬1B5F)⪢(∃⊬860⩨∃⊬4FD)-(∃⊬B64⊭∹↮)⨓∃⊬7C6⪮%⊝∃⊬F50)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10565,"operation_count":13,"complexity_ratio":812.6923076923077,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2964,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":1937,"base":16}}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2230,"base":16},"right_expr":{"type":"numeric_atoms","value":7007,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2144,"base":16},"right_expr":{"type":"numeric_atoms","value":1277,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2916,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1990,"base":16},"right_expr":{"type":"numeric_atoms","value":3920,"base":16}}}}},"used_operators":["Nsiff2A1zJ","yyfyN0ffXY","D4vGDi5EA2","xNBdhnnwKq","8w2t5hMYqp","DlLNRPXxWL","rysDP5nf3Z","dWAJyo7jo9","DZ8iAZOCBD","2DlMacCsIx","3ViojmjbAp","IWmyXbctLI"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2964","layer":4},{"info":"compute unary expreesion, input=2964, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5928","layer":3},{"info":"compute unary expreesion, input=5928, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-17784","layer":2},{"info":"number node, value=1937","layer":4},{"info":"compute unary expreesion, input=1937, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-17784, right_input=0, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-17784","layer":1},{"info":"number node, value=2230","layer":4},{"info":"number node, value=7007","layer":4},{"info":"compute binary expreesion, left_input=2230, right_input=7007, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4460","layer":3},{"info":"number node, value=2144","layer":4},{"info":"number node, value=1277","layer":4},{"info":"compute binary expreesion, left_input=2144, right_input=1277, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4460, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=2916","layer":4},{"info":"compute unary expreesion, input=2916, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=5832","layer":3},{"info":"number node, value=1990","layer":4},{"info":"number node, value=3920","layer":4},{"info":"compute binary expreesion, left_input=1990, right_input=3920, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4296","layer":3},{"info":"compute binary expreesion, left_input=5832, right_input=4296, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-4299","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4299, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4299","layer":1},{"info":"compute binary expreesion, left_input=-17784, right_input=4299, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬B94⊭∹↮)≦≮≮)↙(⊄⩳↩(⫛⫱⨽∃⊬791)))⊴((∃⊬8B6⊉≛↸∃⊬1B5F)⪢(∃⊬860⩨∃⊬4FD)-(∃⊬B64⊭∹↮)⨓∃⊬7C6⪮%⊝∃⊬F50)=NaN","reverse_text":"NaN=(((∃⊬B94⊭∹↮)≦≮≮)↙(⊄⩳↩(⫛⫱⨽∃⊬791)))⊴((∃⊬8B6⊉≛↸∃⊬1B5F)⪢(∃⊬860⩨∃⊬4FD)-(∃⊬B64⊭∹↮)⨓∃⊬7C6⪮%⊝∃⊬F50)","cot":[{"info":"∃⊬B94⊭∹↮=∃⊬1728","layer":3},{"info":"∃⊬1728≦≮≮=∃⊬-4578","layer":2},{"info":"⫛⫱⨽∃⊬791=∃⊬0","layer":3},{"info":"⊄⩳↩∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-4578↙∃⊬0=∃⊬-4578","layer":1},{"info":"∃⊬8B6⊉≛↸∃⊬1B5F=∃⊬116C","layer":3},{"info":"∃⊬860⩨∃⊬4FD=∃⊬0","layer":3},{"info":"∃⊬116C⪢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬B64⊭∹↮=∃⊬16C8","layer":3},{"info":"∃⊬7C6⪮%⊝∃⊬F50=∃⊬10C8","layer":3},{"info":"∃⊬16C8⨓∃⊬10C8=∃⊬-10CB","layer":2},{"info":"∃⊬0-∃⊬-10CB=∃⊬10CB","layer":1},{"info":"∃⊬-4578⊴∃⊬10CB=NaN","layer":0}]}
{"id":668,"expression_no_base_symbol":"+⊝⨔((⩦⩻⨪$1981$)⊉≛↸($9528$⨵⪆$4368$)∲⫓$3119$⨰$2145$≭$1764$≧⫂∧$2818$)","expression":"+⊝⨔((⩦⩻⨪∃⊬7BD)⊉≛↸(∃⊬2538⨵⪆∃⊬1110)∲⫓∃⊬C2F⨰∃⊬861≭∃⊬6E4≧⫂∧∃⊬B02)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":36,"operation_count":8,"complexity_ratio":4.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1981,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":9528,"base":16},"right_expr":{"type":"numeric_atoms","value":4368,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3119,"base":16},"right_expr":{"type":"numeric_atoms","value":2145,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1764,"base":16},"right_expr":{"type":"numeric_atoms","value":2818,"base":16}}}}},"used_operators":["DhbWaqg5eL","i8ToyICDmI","DZ8iAZOCBD","2td37pGCOC","2DQ55sFlQl","rxpJgHHUmx","eewbuw0ToL","Ph9nP6C5qx"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1981","layer":4},{"info":"compute unary expreesion, input=1981, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1981","layer":3},{"info":"number node, value=9528","layer":4},{"info":"number node, value=4368","layer":4},{"info":"compute binary expreesion, left_input=9528, right_input=4368, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=1981, right_input=160, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=3962","layer":2},{"info":"number node, value=3119","layer":4},{"info":"number node, value=2145","layer":4},{"info":"compute binary expreesion, left_input=3119, right_input=2145, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=984","layer":3},{"info":"number node, value=1764","layer":4},{"info":"number node, value=2818","layer":4},{"info":"compute binary expreesion, left_input=1764, right_input=2818, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2345","layer":3},{"info":"compute binary expreesion, left_input=984, right_input=2345, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3962, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , 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":"+⊝⨔((⩦⩻⨪∃⊬7BD)⊉≛↸(∃⊬2538⨵⪆∃⊬1110)∲⫓∃⊬C2F⨰∃⊬861≭∃⊬6E4≧⫂∧∃⊬B02)=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔((⩦⩻⨪∃⊬7BD)⊉≛↸(∃⊬2538⨵⪆∃⊬1110)∲⫓∃⊬C2F⨰∃⊬861≭∃⊬6E4≧⫂∧∃⊬B02)","cot":[{"info":"⩦⩻⨪∃⊬7BD=∃⊬7BD","layer":3},{"info":"∃⊬2538⨵⪆∃⊬1110=∃⊬A0","layer":3},{"info":"∃⊬7BD⊉≛↸∃⊬A0=∃⊬F7A","layer":2},{"info":"∃⊬C2F⨰∃⊬861=∃⊬3D8","layer":3},{"info":"∃⊬6E4≧⫂∧∃⊬B02=∃⊬929","layer":3},{"info":"∃⊬3D8≭∃⊬929=NaN","layer":2},{"info":"∃⊬F7A∲⫓NaN=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
{"id":669,"expression_no_base_symbol":"(⪲⇎($6339$⋝⋈⪟$1186$⫡⨏$6330$⪄$3002$))⊉≛↸((⊄⩳↩$1175$)⨓(∂$7503$)⩤)","expression":"(⪲⇎(∃⊬18C3⋝⋈⪟∃⊬4A2⫡⨏∃⊬18BA⪄∃⊬BBA))⊉≛↸((⊄⩳↩∃⊬497)⨓(∂∃⊬1D4F)⩤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":123,"operation_count":9,"complexity_ratio":13.666666666666666,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6339,"base":16},"right_expr":{"type":"numeric_atoms","value":1186,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":6330,"base":16},"right_expr":{"type":"numeric_atoms","value":3002,"base":16}}}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1175,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7503,"base":16}}}}},"used_operators":["DZ8iAZOCBD","XPYlsWDdGa","QMFrweE19q","2DDjHMKMc0","SUmda5xLS4","Z2TMIBDE3Q","3ViojmjbAp","8w2t5hMYqp","Uaa54Peajs"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6339","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=6339, right_input=1186, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6339","layer":3},{"info":"number node, value=6330","layer":4},{"info":"number node, value=3002","layer":4},{"info":"compute binary expreesion, left_input=6330, right_input=3002, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-944937","layer":3},{"info":"compute binary expreesion, left_input=6339, right_input=-944937, 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=-1857396","layer":2},{"info":"compute unary expreesion, input=-1857396, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-3714792","layer":1},{"info":"number node, value=1175","layer":4},{"info":"compute unary expreesion, input=1175, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3525","layer":3},{"info":"number node, value=7503","layer":4},{"info":"compute unary expreesion, input=7503, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-3525, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-3714792, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎(∃⊬18C3⋝⋈⪟∃⊬4A2⫡⨏∃⊬18BA⪄∃⊬BBA))⊉≛↸((⊄⩳↩∃⊬497)⨓(∂∃⊬1D4F)⩤)=NaN","reverse_text":"NaN=(⪲⇎(∃⊬18C3⋝⋈⪟∃⊬4A2⫡⨏∃⊬18BA⪄∃⊬BBA))⊉≛↸((⊄⩳↩∃⊬497)⨓(∂∃⊬1D4F)⩤)","cot":[{"info":"∃⊬18C3⋝⋈⪟∃⊬4A2=∃⊬18C3","layer":3},{"info":"∃⊬18BA⪄∃⊬BBA=∃⊬-E6B29","layer":3},{"info":"∃⊬18C3⫡⨏∃⊬-E6B29=∃⊬-1C5774","layer":2},{"info":"⪲⇎∃⊬-1C5774=∃⊬-38AEE8","layer":1},{"info":"⊄⩳↩∃⊬497=∃⊬-DC5","layer":3},{"info":"∂∃⊬1D4F=NaN","layer":3},{"info":"∃⊬-DC5⨓NaN=NaN","layer":2},{"info":"NaN⩤=NaN","layer":1},{"info":"∃⊬-38AEE8⊉≛↸NaN=NaN","layer":0}]}
{"id":670,"expression_no_base_symbol":"((($3093$⨸⪁$1116$)↺$3985$≹⇙⪍$2304$)⊘)⪨≂(↽≂($1899$↙$1191$))≹⇙⪍($9740$⨟⋌⩍$3711$⩚⊴⇥($3850$⋫))","expression":"(((∃⊬C15⨸⪁∃⊬45C)↺∃⊬F91≹⇙⪍∃⊬900)⊘)⪨≂(↽≂(∃⊬76B↙∃⊬4A7))≹⇙⪍(∃⊬260C⨟⋌⩍∃⊬E7F⩚⊴⇥(∃⊬F0A⋫))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5084,"operation_count":11,"complexity_ratio":462.1818181818182,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3093,"base":16},"right_expr":{"type":"numeric_atoms","value":1116,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3985,"base":16},"right_expr":{"type":"numeric_atoms","value":2304,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1899,"base":16},"right_expr":{"type":"numeric_atoms","value":1191,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9740,"base":16},"right_expr":{"type":"numeric_atoms","value":3711,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3850,"base":16}}}}},"used_operators":["sdazOOVcIp","gu96TGCTMs","7j4O788W3g","g55IO6H4Gj","AHs5Up7iyr","u6S6b8DprG","yyfyN0ffXY","NTOWxs364D","rGHVDoGpnC","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3093","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=3093, right_input=1116, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8418","layer":3},{"info":"number node, value=3985","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=2304, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8418, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"number node, value=1899","layer":4},{"info":"number node, value=1191","layer":4},{"info":"compute binary expreesion, left_input=1899, right_input=1191, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3573","layer":3},{"info":"compute unary expreesion, input=-3573, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=7146","layer":2},{"info":"number node, value=9740","layer":4},{"info":"number node, value=3711","layer":4},{"info":"compute binary expreesion, left_input=9740, right_input=3711, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3850","layer":4},{"info":"compute unary expreesion, input=3850, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3850","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3850, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7146, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬C15⨸⪁∃⊬45C)↺∃⊬F91≹⇙⪍∃⊬900)⊘)⪨≂(↽≂(∃⊬76B↙∃⊬4A7))≹⇙⪍(∃⊬260C⨟⋌⩍∃⊬E7F⩚⊴⇥(∃⊬F0A⋫))=NaN","reverse_text":"NaN=(((∃⊬C15⨸⪁∃⊬45C)↺∃⊬F91≹⇙⪍∃⊬900)⊘)⪨≂(↽≂(∃⊬76B↙∃⊬4A7))≹⇙⪍(∃⊬260C⨟⋌⩍∃⊬E7F⩚⊴⇥(∃⊬F0A⋫))","cot":[{"info":"∃⊬C15⨸⪁∃⊬45C=∃⊬20E2","layer":3},{"info":"∃⊬F91≹⇙⪍∃⊬900=NaN","layer":3},{"info":"∃⊬20E2↺NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"∃⊬76B↙∃⊬4A7=∃⊬-DF5","layer":3},{"info":"↽≂∃⊬-DF5=∃⊬1BEA","layer":2},{"info":"∃⊬260C⨟⋌⩍∃⊬E7F=NaN","layer":3},{"info":"∃⊬F0A⋫=∃⊬F0A","layer":3},{"info":"NaN⩚⊴⇥∃⊬F0A=NaN","layer":2},{"info":"∃⊬1BEA≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":671,"expression_no_base_symbol":"(⫓⪴$2237$⊴$1151$⨪↰⇹($2979$↪⪝))⫸⊐($2806$⋓$1573$⨐⩸⫘(⨞⊢$2792$)⋷(-$1924$)⩷∴($2451$⨰$2657$))","expression":"(⫓⪴∃⊬8BD⊴∃⊬47F⨪↰⇹(∃⊬BA3↪⪝))⫸⊐(∃⊬AF6⋓∃⊬625⨐⩸⫘(⨞⊢∃⊬AE8)⋷(-∃⊬784)⩷∴(∃⊬993⨰∃⊬A61))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6275,"operation_count":12,"complexity_ratio":522.9166666666666,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2237,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":2979,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2806,"base":16},"right_expr":{"type":"numeric_atoms","value":1573,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2792,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1924,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2451,"base":16},"right_expr":{"type":"numeric_atoms","value":2657,"base":16}}}}},"used_operators":["mqXw5SEYmG","eLxqMNBOBk","tmPS8pqC7x","Nsiff2A1zJ","l07mrZUIn9","23Mk6UjR3U","fu6greOZ01","T2fj7uvVaJ","xUOZtlo3hN","9FxExcQeMw","t8gj7n24qd","eewbuw0ToL"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","rJVOvQCfKK","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2237","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=1151, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2979","layer":4},{"info":"compute unary expreesion, input=2979, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=182261178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=182261178, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"number node, value=2806","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=2806, right_input=1573, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2792","layer":4},{"info":"compute unary expreesion, input=2792, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2966","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2966, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1924","layer":4},{"info":"compute unary expreesion, input=1924, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1924","layer":3},{"info":"number node, value=2451","layer":4},{"info":"number node, value=2657","layer":4},{"info":"compute binary expreesion, left_input=2451, right_input=2657, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-196","layer":3},{"info":"compute binary expreesion, left_input=-1924, right_input=-196, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3488","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3488, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , 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":"(⫓⪴∃⊬8BD⊴∃⊬47F⨪↰⇹(∃⊬BA3↪⪝))⫸⊐(∃⊬AF6⋓∃⊬625⨐⩸⫘(⨞⊢∃⊬AE8)⋷(-∃⊬784)⩷∴(∃⊬993⨰∃⊬A61))=NaN","reverse_text":"NaN=(⫓⪴∃⊬8BD⊴∃⊬47F⨪↰⇹(∃⊬BA3↪⪝))⫸⊐(∃⊬AF6⋓∃⊬625⨐⩸⫘(⨞⊢∃⊬AE8)⋷(-∃⊬784)⩷∴(∃⊬993⨰∃⊬A61))","cot":[{"info":"∃⊬8BD⊴∃⊬47F=NaN","layer":3},{"info":"∃⊬BA3↪⪝=∃⊬ADD15BA","layer":3},{"info":"NaN⨪↰⇹∃⊬ADD15BA=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"∃⊬AF6⋓∃⊬625=∃⊬0","layer":3},{"info":"⨞⊢∃⊬AE8=∃⊬-B96","layer":3},{"info":"∃⊬0⨐⩸⫘∃⊬-B96=NaN","layer":2},{"info":"-∃⊬784=∃⊬-784","layer":3},{"info":"∃⊬993⨰∃⊬A61=∃⊬-C4","layer":3},{"info":"∃⊬-784⩷∴∃⊬-C4=∃⊬-DA0","layer":2},{"info":"NaN⋷∃⊬-DA0=NaN","layer":1},{"info":"NaN⫸⊐NaN=NaN","layer":0}]}
{"id":672,"expression_no_base_symbol":"(($6117$⨎$1365$⪨≂$3498$⊉≛↸$5220$)*((⩦⩻⨪$7209$)/$3252$⨟⋌⩍$6107$))∸","expression":"((∃⊬17E5⨎∃⊬555⪨≂∃⊬DAA⊉≛↸∃⊬1464)*((⩦⩻⨪∃⊬1C29)/∃⊬CB4⨟⋌⩍∃⊬17DB))∸","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":191,"operation_count":8,"complexity_ratio":23.875,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6117,"base":16},"right_expr":{"type":"numeric_atoms","value":1365,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3498,"base":16},"right_expr":{"type":"numeric_atoms","value":5220,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7209,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3252,"base":16},"right_expr":{"type":"numeric_atoms","value":6107,"base":16}}}}},"used_operators":["o20kRiQErp","9HNa5Wba9A","sdazOOVcIp","rJVOvQCfKK","DZ8iAZOCBD","XhwjNDsVaA","2td37pGCOC","rGHVDoGpnC"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6117","layer":4},{"info":"number node, value=1365","layer":4},{"info":"compute binary expreesion, left_input=6117, right_input=1365, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1365","layer":3},{"info":"number node, value=3498","layer":4},{"info":"number node, value=5220","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=5220, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6996","layer":3},{"info":"compute binary expreesion, left_input=1365, right_input=6996, 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=-11160","layer":2},{"info":"number node, value=7209","layer":4},{"info":"compute unary expreesion, input=7209, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7209","layer":3},{"info":"number node, value=3252","layer":4},{"info":"number node, value=6107","layer":4},{"info":"compute binary expreesion, left_input=3252, right_input=6107, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7209, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-11160, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"((∃⊬17E5⨎∃⊬555⪨≂∃⊬DAA⊉≛↸∃⊬1464)*((⩦⩻⨪∃⊬1C29)/∃⊬CB4⨟⋌⩍∃⊬17DB))∸=∃⊬B1","reverse_text":"∃⊬B1=((∃⊬17E5⨎∃⊬555⪨≂∃⊬DAA⊉≛↸∃⊬1464)*((⩦⩻⨪∃⊬1C29)/∃⊬CB4⨟⋌⩍∃⊬17DB))∸","cot":[{"info":"∃⊬17E5⨎∃⊬555=∃⊬555","layer":3},{"info":"∃⊬DAA⊉≛↸∃⊬1464=∃⊬1B54","layer":3},{"info":"∃⊬555⪨≂∃⊬1B54=∃⊬-2B98","layer":2},{"info":"⩦⩻⨪∃⊬1C29=∃⊬1C29","layer":3},{"info":"∃⊬CB4⨟⋌⩍∃⊬17DB=NaN","layer":3},{"info":"∃⊬1C29/NaN=NaN","layer":2},{"info":"∃⊬-2B98*NaN=NaN","layer":1},{"info":"NaN∸=∃⊬B1","layer":0}]}
{"id":673,"expression_no_base_symbol":"($1169$⋳⪒$3549$∲⫓$1311$⋝⋈⪟$1782$)∀⇚≩($2730$⩷∴$2244$⊉≛↸($6006$⪒$1371$))⨳⩥⨓($2216$↬$1298$)⊴($1321$⩨$3420$)⨰((+⊝⨔$1072$)⩷∴($3643$≋⫹))","expression":"(∃⊬491⋳⪒∃⊬DDD∲⫓∃⊬51F⋝⋈⪟∃⊬6F6)∀⇚≩(∃⊬AAA⩷∴∃⊬8C4⊉≛↸(∃⊬1776⪒∃⊬55B))⨳⩥⨓(∃⊬8A8↬∃⊬512)⊴(∃⊬529⩨∃⊬D5C)⨰((+⊝⨔∃⊬430)⩷∴(∃⊬E3B≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":100,"operation_count":15,"complexity_ratio":6.666666666666667,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1169,"base":16},"right_expr":{"type":"numeric_atoms","value":3549,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1311,"base":16},"right_expr":{"type":"numeric_atoms","value":1782,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2730,"base":16},"right_expr":{"type":"numeric_atoms","value":2244,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":6006,"base":16},"right_expr":{"type":"numeric_atoms","value":1371,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2216,"base":16},"right_expr":{"type":"numeric_atoms","value":1298,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1321,"base":16},"right_expr":{"type":"numeric_atoms","value":3420,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1072,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3643,"base":16}}}}},"used_operators":["nCS4ZIUYfx","LRNGc0VcxI","i8ToyICDmI","12rbrZMWeM","2DDjHMKMc0","DZ8iAZOCBD","9FxExcQeMw","f6k1SAg4EE","eewbuw0ToL","Nsiff2A1zJ","B5M0gjZbta","2DlMacCsIx","DhbWaqg5eL","N41Kp7NANJ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1169","layer":4},{"info":"number node, value=3549","layer":4},{"info":"compute binary expreesion, left_input=1169, right_input=3549, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-1498","layer":3},{"info":"number node, value=1311","layer":4},{"info":"number node, value=1782","layer":4},{"info":"compute binary expreesion, left_input=1311, right_input=1782, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1311","layer":3},{"info":"compute binary expreesion, left_input=-1498, right_input=1311, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=2730","layer":4},{"info":"number node, value=2244","layer":4},{"info":"compute binary expreesion, left_input=2730, right_input=2244, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=940","layer":3},{"info":"number node, value=6006","layer":4},{"info":"number node, value=1371","layer":4},{"info":"compute binary expreesion, left_input=6006, right_input=1371, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7377","layer":3},{"info":"compute binary expreesion, left_input=940, right_input=-7377, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=1880","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=1880, 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=1880","layer":1},{"info":"number node, value=2216","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=2216, right_input=1298, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=3420","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=3420, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1072","layer":4},{"info":"compute unary expreesion, input=1072, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3643","layer":4},{"info":"compute unary expreesion, input=3643, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7286","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-7286, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=17584","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=17584, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1880, 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":"(∃⊬491⋳⪒∃⊬DDD∲⫓∃⊬51F⋝⋈⪟∃⊬6F6)∀⇚≩(∃⊬AAA⩷∴∃⊬8C4⊉≛↸(∃⊬1776⪒∃⊬55B))⨳⩥⨓(∃⊬8A8↬∃⊬512)⊴(∃⊬529⩨∃⊬D5C)⨰((+⊝⨔∃⊬430)⩷∴(∃⊬E3B≋⫹))=NaN","reverse_text":"NaN=(∃⊬491⋳⪒∃⊬DDD∲⫓∃⊬51F⋝⋈⪟∃⊬6F6)∀⇚≩(∃⊬AAA⩷∴∃⊬8C4⊉≛↸(∃⊬1776⪒∃⊬55B))⨳⩥⨓(∃⊬8A8↬∃⊬512)⊴(∃⊬529⩨∃⊬D5C)⨰((+⊝⨔∃⊬430)⩷∴(∃⊬E3B≋⫹))","cot":[{"info":"∃⊬491⋳⪒∃⊬DDD=∃⊬-5DA","layer":3},{"info":"∃⊬51F⋝⋈⪟∃⊬6F6=∃⊬51F","layer":3},{"info":"∃⊬-5DA∲⫓∃⊬51F=∃⊬0","layer":2},{"info":"∃⊬AAA⩷∴∃⊬8C4=∃⊬3AC","layer":3},{"info":"∃⊬1776⪒∃⊬55B=∃⊬-1CD1","layer":3},{"info":"∃⊬3AC⊉≛↸∃⊬-1CD1=∃⊬758","layer":2},{"info":"∃⊬0∀⇚≩∃⊬758=∃⊬758","layer":1},{"info":"∃⊬8A8↬∃⊬512=NaN","layer":3},{"info":"∃⊬529⩨∃⊬D5C=∃⊬-6","layer":3},{"info":"NaN⊴∃⊬-6=NaN","layer":2},{"info":"+⊝⨔∃⊬430=∃⊬5F2","layer":3},{"info":"∃⊬E3B≋⫹=∃⊬-1C76","layer":3},{"info":"∃⊬5F2⩷∴∃⊬-1C76=∃⊬44B0","layer":2},{"info":"NaN⨰∃⊬44B0=NaN","layer":1},{"info":"∃⊬758⨳⩥⨓NaN=NaN","layer":0}]}
{"id":674,"expression_no_base_symbol":"⊙↵-(↩$2752$⋝⋈⪟$8260$↙($3783$⊭∹↮))","expression":"⊙↵-(↩∃⊬AC0⋝⋈⪟∃⊬2044↙(∃⊬EC7⊭∹↮))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":101056,"operation_count":5,"complexity_ratio":20211.2,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2752,"base":16},"right_expr":{"type":"numeric_atoms","value":8260,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3783,"base":16}}}}},"used_operators":["oWn0xqSxBt","jLgFTUHLKL","yyfyN0ffXY","2DDjHMKMc0","xNBdhnnwKq"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2752","layer":4},{"info":"number node, value=8260","layer":4},{"info":"compute binary expreesion, left_input=2752, right_input=8260, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2752","layer":3},{"info":"number node, value=3783","layer":4},{"info":"compute unary expreesion, input=3783, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=7566","layer":3},{"info":"compute binary expreesion, left_input=2752, right_input=7566, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22698","layer":2},{"info":"compute unary expreesion, input=-22698, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=93412","layer":1},{"info":"compute unary expreesion, input=93412, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(↩∃⊬AC0⋝⋈⪟∃⊬2044↙(∃⊬EC7⊭∹↮))=∃⊬-1","reverse_text":"∃⊬-1=⊙↵-(↩∃⊬AC0⋝⋈⪟∃⊬2044↙(∃⊬EC7⊭∹↮))","cot":[{"info":"∃⊬AC0⋝⋈⪟∃⊬2044=∃⊬AC0","layer":3},{"info":"∃⊬EC7⊭∹↮=∃⊬1D8E","layer":3},{"info":"∃⊬AC0↙∃⊬1D8E=∃⊬-58AA","layer":2},{"info":"↩∃⊬-58AA=∃⊬16CE4","layer":1},{"info":"⊙↵-∃⊬16CE4=∃⊬-1","layer":0}]}
{"id":675,"expression_no_base_symbol":"⨞⊢(≉(⊥$3755$))⪛(⪲⇎($7344$⫩⊇))","expression":"⨞⊢(≉(⊥∃⊬EAB))⪛(⪲⇎(∃⊬1CB0⫩⊇))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":12,"operation_count":6,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3755,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7344,"base":16}}}}},"used_operators":["xUOZtlo3hN","uFcxV4UQCh","e1ybzncUwg","Q3PJZHRvZv","XPYlsWDdGa","BjRHVeLaeN"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3755","layer":4},{"info":"compute unary expreesion, input=3755, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"number node, value=7344","layer":4},{"info":"compute unary expreesion, input=7344, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7302","layer":3},{"info":"compute unary expreesion, input=-7302, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-14604","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-14604, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(≉(⊥∃⊬EAB))⪛(⪲⇎(∃⊬1CB0⫩⊇))=NaN","reverse_text":"NaN=⨞⊢(≉(⊥∃⊬EAB))⪛(⪲⇎(∃⊬1CB0⫩⊇))","cot":[{"info":"⊥∃⊬EAB=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"∃⊬1CB0⫩⊇=∃⊬-1C86","layer":3},{"info":"⪲⇎∃⊬-1C86=∃⊬-390C","layer":2},{"info":"NaN⪛∃⊬-390C=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":676,"expression_no_base_symbol":"(⊙↵-$1001$)⪢($1334$⋓$1590$)⩷∴($1086$⫥∨⫟$2579$≋⫹)⨽($7665$⪮%⊝$3181$+$2296$⪮%⊝$3939$)⋳⪒($5560$⫸⊐$3514$⫡⨏$1015$⨽$3421$)","expression":"(⊙↵-∃⊬3E9)⪢(∃⊬536⋓∃⊬636)⩷∴(∃⊬43E⫥∨⫟∃⊬A13≋⫹)⨽(∃⊬1DF1⪮%⊝∃⊬C6D+∃⊬8F8⪮%⊝∃⊬F63)⋳⪒(∃⊬15B8⫸⊐∃⊬DBA⫡⨏∃⊬3F7⨽∃⊬D5D)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2315,"operation_count":14,"complexity_ratio":165.35714285714286,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1001,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1334,"base":16},"right_expr":{"type":"numeric_atoms","value":1590,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1086,"base":16},"right_expr":{"type":"numeric_atoms","value":2579,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":7665,"base":16},"right_expr":{"type":"numeric_atoms","value":3181,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2296,"base":16},"right_expr":{"type":"numeric_atoms","value":3939,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5560,"base":16},"right_expr":{"type":"numeric_atoms","value":3514,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1015,"base":16},"right_expr":{"type":"numeric_atoms","value":3421,"base":16}}}}},"used_operators":["8HhzD0ZcuI","9FxExcQeMw","dWAJyo7jo9","oWn0xqSxBt","T2fj7uvVaJ","N41Kp7NANJ","KYD54nUTWz","12rbrZMWeM","W4YGzv6Whe","IWmyXbctLI","QMFrweE19q","mqXw5SEYmG"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1001","layer":4},{"info":"compute unary expreesion, input=1001, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1590","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1590, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":2},{"info":"number node, value=1086","layer":4},{"info":"number node, value=2579","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=2579, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=7665","layer":4},{"info":"number node, value=3181","layer":4},{"info":"compute binary expreesion, left_input=7665, right_input=3181, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=15646","layer":3},{"info":"number node, value=2296","layer":4},{"info":"number node, value=3939","layer":4},{"info":"compute binary expreesion, left_input=2296, right_input=3939, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4908","layer":3},{"info":"compute binary expreesion, left_input=15646, right_input=4908, op_id = W4YGzv6Whe binary_op_definition= 'None', output=20554","layer":2},{"info":"number node, value=5560","layer":4},{"info":"number node, value=3514","layer":4},{"info":"compute binary expreesion, left_input=5560, right_input=3514, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13931","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=3421","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=3421, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3099624","layer":3},{"info":"compute binary expreesion, left_input=13931, right_input=-3099624, 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=-6128810","layer":2},{"info":"compute binary expreesion, left_input=20554, right_input=-6128810, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6169631","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=6169631, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊙↵-∃⊬3E9)⪢(∃⊬536⋓∃⊬636)⩷∴(∃⊬43E⫥∨⫟∃⊬A13≋⫹)⨽(∃⊬1DF1⪮%⊝∃⊬C6D+∃⊬8F8⪮%⊝∃⊬F63)⋳⪒(∃⊬15B8⫸⊐∃⊬DBA⫡⨏∃⊬3F7⨽∃⊬D5D)=NaN","reverse_text":"NaN=(⊙↵-∃⊬3E9)⪢(∃⊬536⋓∃⊬636)⩷∴(∃⊬43E⫥∨⫟∃⊬A13≋⫹)⨽(∃⊬1DF1⪮%⊝∃⊬C6D+∃⊬8F8⪮%⊝∃⊬F63)⋳⪒(∃⊬15B8⫸⊐∃⊬DBA⫡⨏∃⊬3F7⨽∃⊬D5D)","cot":[{"info":"⊙↵-∃⊬3E9=∃⊬-1","layer":3},{"info":"∃⊬536⋓∃⊬636=∃⊬0","layer":3},{"info":"∃⊬-1⪢∃⊬0=∃⊬0","layer":2},{"info":"∃⊬43E⫥∨⫟∃⊬A13=NaN","layer":3},{"info":"NaN≋⫹=NaN","layer":2},{"info":"∃⊬0⩷∴NaN=NaN","layer":1},{"info":"∃⊬1DF1⪮%⊝∃⊬C6D=∃⊬3D1E","layer":3},{"info":"∃⊬8F8⪮%⊝∃⊬F63=∃⊬132C","layer":3},{"info":"∃⊬3D1E+∃⊬132C=∃⊬504A","layer":2},{"info":"∃⊬15B8⫸⊐∃⊬DBA=∃⊬366B","layer":3},{"info":"∃⊬3F7⨽∃⊬D5D=∃⊬-2F4BE8","layer":3},{"info":"∃⊬366B⫡⨏∃⊬-2F4BE8=∃⊬-5D84AA","layer":2},{"info":"∃⊬504A⋳⪒∃⊬-5D84AA=∃⊬5E241F","layer":1},{"info":"NaN⨽∃⊬5E241F=NaN","layer":0}]}
{"id":677,"expression_no_base_symbol":"((($2109$↛⩡⫤)⫡⨏$2183$⪒$1005$)⨳⩥⨓($6598$⊭↱$1350$+($1426$⫡⨏$5306$)))⨓(⫓⪴(≉$2712$⨟⋌⩍$4063$))","expression":"(((∃⊬83D↛⩡⫤)⫡⨏∃⊬887⪒∃⊬3ED)⨳⩥⨓(∃⊬19C6⊭↱∃⊬546+(∃⊬592⫡⨏∃⊬14BA)))⨓(⫓⪴(≉∃⊬A98⨟⋌⩍∃⊬FDF))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6498,"operation_count":11,"complexity_ratio":590.7272727272727,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":2109,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2183,"base":16},"right_expr":{"type":"numeric_atoms","value":1005,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6598,"base":16},"right_expr":{"type":"numeric_atoms","value":1350,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1426,"base":16},"right_expr":{"type":"numeric_atoms","value":5306,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2712,"base":16},"right_expr":{"type":"numeric_atoms","value":4063,"base":16}}}}},"used_operators":["3ViojmjbAp","nCS4ZIUYfx","QMFrweE19q","FU0Cs4j7VP","f6k1SAg4EE","W4YGzv6Whe","COABgblf1C","eLxqMNBOBk","e1ybzncUwg","rGHVDoGpnC"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2109","layer":4},{"info":"compute unary expreesion, input=2109, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-314548","layer":3},{"info":"number node, value=2183","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=1005, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3188","layer":3},{"info":"compute binary expreesion, left_input=-314548, right_input=-3188, 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=-1578333","layer":2},{"info":"number node, value=6598","layer":4},{"info":"number node, value=1350","layer":4},{"info":"compute binary expreesion, left_input=6598, right_input=1350, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-10491","layer":3},{"info":"number node, value=1426","layer":4},{"info":"number node, value=5306","layer":4},{"info":"compute binary expreesion, left_input=1426, right_input=5306, 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=18525","layer":3},{"info":"compute binary expreesion, left_input=-10491, right_input=18525, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8034","layer":2},{"info":"compute binary expreesion, left_input=-1578333, right_input=8034, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1586367","layer":1},{"info":"number node, value=2712","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=2712, right_input=4063, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=1586367, 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":"(((∃⊬83D↛⩡⫤)⫡⨏∃⊬887⪒∃⊬3ED)⨳⩥⨓(∃⊬19C6⊭↱∃⊬546+(∃⊬592⫡⨏∃⊬14BA)))⨓(⫓⪴(≉∃⊬A98⨟⋌⩍∃⊬FDF))=NaN","reverse_text":"NaN=(((∃⊬83D↛⩡⫤)⫡⨏∃⊬887⪒∃⊬3ED)⨳⩥⨓(∃⊬19C6⊭↱∃⊬546+(∃⊬592⫡⨏∃⊬14BA)))⨓(⫓⪴(≉∃⊬A98⨟⋌⩍∃⊬FDF))","cot":[{"info":"∃⊬83D↛⩡⫤=∃⊬-4CCB4","layer":3},{"info":"∃⊬887⪒∃⊬3ED=∃⊬-C74","layer":3},{"info":"∃⊬-4CCB4⫡⨏∃⊬-C74=∃⊬-18155D","layer":2},{"info":"∃⊬19C6⊭↱∃⊬546=∃⊬-28FB","layer":3},{"info":"∃⊬592⫡⨏∃⊬14BA=∃⊬485D","layer":3},{"info":"∃⊬-28FB+∃⊬485D=∃⊬1F62","layer":2},{"info":"∃⊬-18155D⨳⩥⨓∃⊬1F62=∃⊬1834BF","layer":1},{"info":"∃⊬A98⨟⋌⩍∃⊬FDF=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"∃⊬1834BF⨓NaN=NaN","layer":0}]}
{"id":678,"expression_no_base_symbol":"(↯⪼(($2529$⩷∴$2332$)⨓($1856$⫸⊐$5435$)))⫩⊇","expression":"(↯⪼((∃⊬9E1⩷∴∃⊬91C)⨓(∃⊬740⫸⊐∃⊬153B)))⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":21666,"operation_count":5,"complexity_ratio":4333.2,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2529,"base":16},"right_expr":{"type":"numeric_atoms","value":2332,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1856,"base":16},"right_expr":{"type":"numeric_atoms","value":5435,"base":16}}}}},"used_operators":["BjRHVeLaeN","8jW3W4yZS5","3ViojmjbAp","9FxExcQeMw","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-A525","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2529","layer":4},{"info":"number node, value=2332","layer":4},{"info":"compute binary expreesion, left_input=2529, right_input=2332, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=362","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=5435","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=5435, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=21615","layer":3},{"info":"compute binary expreesion, left_input=362, right_input=21615, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-21618","layer":2},{"info":"compute unary expreesion, input=-21618, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=42319","layer":1},{"info":"compute unary expreesion, input=42319, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-42277","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬9E1⩷∴∃⊬91C)⨓(∃⊬740⫸⊐∃⊬153B)))⫩⊇=∃⊬-A525","reverse_text":"∃⊬-A525=(↯⪼((∃⊬9E1⩷∴∃⊬91C)⨓(∃⊬740⫸⊐∃⊬153B)))⫩⊇","cot":[{"info":"∃⊬9E1⩷∴∃⊬91C=∃⊬16A","layer":3},{"info":"∃⊬740⫸⊐∃⊬153B=∃⊬546F","layer":3},{"info":"∃⊬16A⨓∃⊬546F=∃⊬-5472","layer":2},{"info":"↯⪼∃⊬-5472=∃⊬A54F","layer":1},{"info":"∃⊬A54F⫩⊇=∃⊬-A525","layer":0}]}
{"id":679,"expression_no_base_symbol":"($5745$≹⇙⪍$2973$↬($1300$≭$8798$)⪄(($6078$⋥≓≎$1688$)∧))⨟⋌⩍(∥⊫($4210$*$2571$))⪮%⊝(($2951$⪨≂$1122$)⩨$1375$≹⇙⪍$2420$)","expression":"(∃⊬1671≹⇙⪍∃⊬B9D↬(∃⊬514≭∃⊬225E)⪄((∃⊬17BE⋥≓≎∃⊬698)∧))⨟⋌⩍(∥⊫(∃⊬1072*∃⊬A0B))⪮%⊝((∃⊬B87⪨≂∃⊬462)⩨∃⊬55F≹⇙⪍∃⊬974)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2632,"operation_count":13,"complexity_ratio":202.46153846153845,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5745,"base":16},"right_expr":{"type":"numeric_atoms","value":2973,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1300,"base":16},"right_expr":{"type":"numeric_atoms","value":8798,"base":16}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6078,"base":16},"right_expr":{"type":"numeric_atoms","value":1688,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4210,"base":16},"right_expr":{"type":"numeric_atoms","value":2571,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2951,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1375,"base":16},"right_expr":{"type":"numeric_atoms","value":2420,"base":16}}}}},"used_operators":["rGHVDoGpnC","SUmda5xLS4","B5M0gjZbta","AHs5Up7iyr","rxpJgHHUmx","z63VuFQld9","Qy55tPpLXF","IWmyXbctLI","P8v4zCKN1o","9HNa5Wba9A","2DlMacCsIx","sdazOOVcIp"],"dependent_operators":["Tcnh7f0tEr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rGHVDoGpnC","dWAJyo7jo9","AHs5Up7iyr","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5745","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=5745, right_input=2973, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1300","layer":4},{"info":"number node, value=8798","layer":4},{"info":"compute binary expreesion, left_input=1300, right_input=8798, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6078","layer":4},{"info":"number node, value=1688","layer":4},{"info":"compute binary expreesion, left_input=6078, right_input=1688, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-2669","layer":3},{"info":"compute unary expreesion, input=-2669, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=4210","layer":4},{"info":"number node, value=2571","layer":4},{"info":"compute binary expreesion, left_input=4210, right_input=2571, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=10823910","layer":3},{"info":"compute unary expreesion, input=10823910, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=10824778","layer":2},{"info":"number node, value=2951","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2951, 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=3760","layer":3},{"info":"number node, value=1375","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=2420, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3760, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10824778, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":"(∃⊬1671≹⇙⪍∃⊬B9D↬(∃⊬514≭∃⊬225E)⪄((∃⊬17BE⋥≓≎∃⊬698)∧))⨟⋌⩍(∥⊫(∃⊬1072*∃⊬A0B))⪮%⊝((∃⊬B87⪨≂∃⊬462)⩨∃⊬55F≹⇙⪍∃⊬974)=NaN","reverse_text":"NaN=(∃⊬1671≹⇙⪍∃⊬B9D↬(∃⊬514≭∃⊬225E)⪄((∃⊬17BE⋥≓≎∃⊬698)∧))⨟⋌⩍(∥⊫(∃⊬1072*∃⊬A0B))⪮%⊝((∃⊬B87⪨≂∃⊬462)⩨∃⊬55F≹⇙⪍∃⊬974)","cot":[{"info":"∃⊬1671≹⇙⪍∃⊬B9D=NaN","layer":3},{"info":"∃⊬514≭∃⊬225E=NaN","layer":3},{"info":"NaN↬NaN=NaN","layer":2},{"info":"∃⊬17BE⋥≓≎∃⊬698=∃⊬-A6D","layer":3},{"info":"∃⊬-A6D∧=∃⊬0","layer":2},{"info":"NaN⪄∃⊬0=∃⊬F8B","layer":1},{"info":"∃⊬1072*∃⊬A0B=∃⊬A528E6","layer":3},{"info":"∥⊫∃⊬A528E6=∃⊬A52C4A","layer":2},{"info":"∃⊬B87⪨≂∃⊬462=∃⊬EB0","layer":3},{"info":"∃⊬55F≹⇙⪍∃⊬974=NaN","layer":3},{"info":"∃⊬EB0⩨NaN=NaN","layer":2},{"info":"∃⊬A52C4A⪮%⊝NaN=NaN","layer":1},{"info":"∃⊬F8B⨟⋌⩍NaN=NaN","layer":0}]}
{"id":680,"expression_no_base_symbol":"(($1857$⨸⪁$1794$⋷$2050$↺$1202$)⪄($3108$⪄$5947$)⪄(⊄⩳↩$1713$))⪛((($4179$⨐⩸⫘$2367$)⫩⊇)∲⫓$1676$⇷$3494$⩷∴($3142$⩚⊴⇥$3088$))","expression":"((∃⊬741⨸⪁∃⊬702⋷∃⊬802↺∃⊬4B2)⪄(∃⊬C24⪄∃⊬173B)⪄(⊄⩳↩∃⊬6B1))⪛(((∃⊬1053⨐⩸⫘∃⊬93F)⫩⊇)∲⫓∃⊬68C⇷∃⊬DA6⩷∴(∃⊬C46⩚⊴⇥∃⊬C10))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":23779,"operation_count":14,"complexity_ratio":1698.5,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1857,"base":16},"right_expr":{"type":"numeric_atoms","value":1794,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2050,"base":16},"right_expr":{"type":"numeric_atoms","value":1202,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3108,"base":16},"right_expr":{"type":"numeric_atoms","value":5947,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1713,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4179,"base":16},"right_expr":{"type":"numeric_atoms","value":2367,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1676,"base":16},"right_expr":{"type":"numeric_atoms","value":3494,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3142,"base":16},"right_expr":{"type":"numeric_atoms","value":3088,"base":16}}}}},"used_operators":["uFcxV4UQCh","SUmda5xLS4","23Mk6UjR3U","g55IO6H4Gj","7j4O788W3g","8w2t5hMYqp","i8ToyICDmI","BjRHVeLaeN","fu6greOZ01","9FxExcQeMw","mp7IySMOzn","NTOWxs364D"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1857","layer":4},{"info":"number node, value=1794","layer":4},{"info":"compute binary expreesion, left_input=1857, right_input=1794, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=7302","layer":3},{"info":"number node, value=2050","layer":4},{"info":"number node, value=1202","layer":4},{"info":"compute binary expreesion, left_input=2050, right_input=1202, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1202","layer":3},{"info":"compute binary expreesion, left_input=7302, right_input=1202, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4898","layer":2},{"info":"number node, value=3108","layer":4},{"info":"number node, value=5947","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=5947, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-479861","layer":3},{"info":"number node, value=1713","layer":4},{"info":"compute unary expreesion, input=1713, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5139","layer":3},{"info":"compute binary expreesion, left_input=-479861, right_input=-5139, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=-4898, right_input=3979, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=4179","layer":4},{"info":"number node, value=2367","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=2367, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=nan","layer":2},{"info":"number node, value=1676","layer":4},{"info":"number node, value=3494","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=3494, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6988","layer":3},{"info":"number node, value=3142","layer":4},{"info":"number node, value=3088","layer":4},{"info":"compute binary expreesion, left_input=3142, right_input=3088, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6351","layer":3},{"info":"compute binary expreesion, left_input=6988, right_input=-6351, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=26646","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26646, 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=3979, 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":"((∃⊬741⨸⪁∃⊬702⋷∃⊬802↺∃⊬4B2)⪄(∃⊬C24⪄∃⊬173B)⪄(⊄⩳↩∃⊬6B1))⪛(((∃⊬1053⨐⩸⫘∃⊬93F)⫩⊇)∲⫓∃⊬68C⇷∃⊬DA6⩷∴(∃⊬C46⩚⊴⇥∃⊬C10))=NaN","reverse_text":"NaN=((∃⊬741⨸⪁∃⊬702⋷∃⊬802↺∃⊬4B2)⪄(∃⊬C24⪄∃⊬173B)⪄(⊄⩳↩∃⊬6B1))⪛(((∃⊬1053⨐⩸⫘∃⊬93F)⫩⊇)∲⫓∃⊬68C⇷∃⊬DA6⩷∴(∃⊬C46⩚⊴⇥∃⊬C10))","cot":[{"info":"∃⊬741⨸⪁∃⊬702=∃⊬1C86","layer":3},{"info":"∃⊬802↺∃⊬4B2=∃⊬4B2","layer":3},{"info":"∃⊬1C86⋷∃⊬4B2=∃⊬-1322","layer":2},{"info":"∃⊬C24⪄∃⊬173B=∃⊬-75275","layer":3},{"info":"⊄⩳↩∃⊬6B1=∃⊬-1413","layer":3},{"info":"∃⊬-75275⪄∃⊬-1413=∃⊬F8B","layer":2},{"info":"∃⊬-1322⪄∃⊬F8B=∃⊬F8B","layer":1},{"info":"∃⊬1053⨐⩸⫘∃⊬93F=NaN","layer":3},{"info":"NaN⫩⊇=NaN","layer":2},{"info":"∃⊬68C⇷∃⊬DA6=∃⊬1B4C","layer":3},{"info":"∃⊬C46⩚⊴⇥∃⊬C10=∃⊬-18CF","layer":3},{"info":"∃⊬1B4C⩷∴∃⊬-18CF=∃⊬6816","layer":2},{"info":"NaN∲⫓∃⊬6816=∃⊬0","layer":1},{"info":"∃⊬F8B⪛∃⊬0=NaN","layer":0}]}
{"id":681,"expression_no_base_symbol":"≤/((∥⊫$4393$⨰$1119$)*($1182$⇷$3751$+$2761$≹⇙⪍$5548$))","expression":"≤/((∥⊫∃⊬1129⨰∃⊬45F)*(∃⊬49E⇷∃⊬EA7+∃⊬AC9≹⇙⪍∃⊬15AC))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":16568,"operation_count":7,"complexity_ratio":2366.8571428571427,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4393,"base":16},"right_expr":{"type":"numeric_atoms","value":1119,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1182,"base":16},"right_expr":{"type":"numeric_atoms","value":3751,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2761,"base":16},"right_expr":{"type":"numeric_atoms","value":5548,"base":16}}}}},"used_operators":["eLAdDNolq6","9HNa5Wba9A","P8v4zCKN1o","eewbuw0ToL","W4YGzv6Whe","mp7IySMOzn","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4393","layer":4},{"info":"number node, value=1119","layer":4},{"info":"compute binary expreesion, left_input=4393, right_input=1119, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=3284","layer":3},{"info":"compute unary expreesion, input=3284, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4152","layer":2},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3751","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3751, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7502","layer":3},{"info":"number node, value=2761","layer":4},{"info":"number node, value=5548","layer":4},{"info":"compute binary expreesion, left_input=2761, right_input=5548, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7502, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4152, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"≤/((∥⊫∃⊬1129⨰∃⊬45F)*(∃⊬49E⇷∃⊬EA7+∃⊬AC9≹⇙⪍∃⊬15AC))=NaN","reverse_text":"NaN=≤/((∥⊫∃⊬1129⨰∃⊬45F)*(∃⊬49E⇷∃⊬EA7+∃⊬AC9≹⇙⪍∃⊬15AC))","cot":[{"info":"∃⊬1129⨰∃⊬45F=∃⊬CD4","layer":3},{"info":"∥⊫∃⊬CD4=∃⊬1038","layer":2},{"info":"∃⊬49E⇷∃⊬EA7=∃⊬1D4E","layer":3},{"info":"∃⊬AC9≹⇙⪍∃⊬15AC=NaN","layer":3},{"info":"∃⊬1D4E+NaN=NaN","layer":2},{"info":"∃⊬1038*NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":682,"expression_no_base_symbol":"⫛⫱⨽(⋗⩬⋾($1829$⇼⇔∾$1023$)⋳⪒($2797$⋳⪒$8074$))","expression":"⫛⫱⨽(⋗⩬⋾(∃⊬725⇼⇔∾∃⊬3FF)⋳⪒(∃⊬AED⋳⪒∃⊬1F8A))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1441,"operation_count":5,"complexity_ratio":288.2,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1829,"base":16},"right_expr":{"type":"numeric_atoms","value":1023,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2797,"base":16},"right_expr":{"type":"numeric_atoms","value":8074,"base":16}}}}},"used_operators":["DlLNRPXxWL","DpFCA1CohY","12rbrZMWeM","tifHPKVTfV"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":4},{"info":"number node, value=1023","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=1023, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-806","layer":3},{"info":"number node, value=2797","layer":4},{"info":"number node, value=8074","layer":4},{"info":"compute binary expreesion, left_input=2797, right_input=8074, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-2767","layer":3},{"info":"compute binary expreesion, left_input=-806, right_input=-2767, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=868","layer":2},{"info":"compute unary expreesion, input=868, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-2604","layer":1},{"info":"compute unary expreesion, input=-2604, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽(⋗⩬⋾(∃⊬725⇼⇔∾∃⊬3FF)⋳⪒(∃⊬AED⋳⪒∃⊬1F8A))=∃⊬0","reverse_text":"∃⊬0=⫛⫱⨽(⋗⩬⋾(∃⊬725⇼⇔∾∃⊬3FF)⋳⪒(∃⊬AED⋳⪒∃⊬1F8A))","cot":[{"info":"∃⊬725⇼⇔∾∃⊬3FF=∃⊬-326","layer":3},{"info":"∃⊬AED⋳⪒∃⊬1F8A=∃⊬-ACF","layer":3},{"info":"∃⊬-326⋳⪒∃⊬-ACF=∃⊬364","layer":2},{"info":"⋗⩬⋾∃⊬364=∃⊬-A2C","layer":1},{"info":"⫛⫱⨽∃⊬-A2C=∃⊬0","layer":0}]}
{"id":683,"expression_no_base_symbol":"((($1092$⊘)⫡⨏($1164$⨵⪆$1436$))⨽(≉$7721$⋓$1286$))⊪","expression":"(((∃⊬444⊘)⫡⨏(∃⊬48C⨵⪆∃⊬59C))⨽(≉∃⊬1E29⋓∃⊬506))⊪","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":10951489,"operation_count":7,"complexity_ratio":1564498.4285714286,"tree":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":1092,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1164,"base":16},"right_expr":{"type":"numeric_atoms","value":1436,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":7721,"base":16},"right_expr":{"type":"numeric_atoms","value":1286,"base":16}}}}},"used_operators":["zVYPLywUTj","8HhzD0ZcuI","QMFrweE19q","gu96TGCTMs","2DQ55sFlQl","e1ybzncUwg","T2fj7uvVaJ"],"dependent_operators":["sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1092","layer":4},{"info":"compute unary expreesion, input=1092, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=1164","layer":4},{"info":"number node, value=1436","layer":4},{"info":"compute binary expreesion, left_input=1164, right_input=1436, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=1103","layer":2},{"info":"number node, value=7721","layer":4},{"info":"number node, value=1286","layer":4},{"info":"compute binary expreesion, left_input=7721, right_input=1286, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=531","layer":2},{"info":"compute binary expreesion, left_input=1103, right_input=531, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3650106","layer":1},{"info":"compute unary expreesion, input=-3650106, 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=inf","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬444⊘)⫡⨏(∃⊬48C⨵⪆∃⊬59C))⨽(≉∃⊬1E29⋓∃⊬506))⊪=Inf","reverse_text":"Inf=(((∃⊬444⊘)⫡⨏(∃⊬48C⨵⪆∃⊬59C))⨽(≉∃⊬1E29⋓∃⊬506))⊪","cot":[{"info":"∃⊬444⊘=∃⊬0","layer":3},{"info":"∃⊬48C⨵⪆∃⊬59C=∃⊬A0","layer":3},{"info":"∃⊬0⫡⨏∃⊬A0=∃⊬44F","layer":2},{"info":"∃⊬1E29⋓∃⊬506=∃⊬0","layer":3},{"info":"≉∃⊬0=∃⊬213","layer":2},{"info":"∃⊬44F⨽∃⊬213=∃⊬-37B23A","layer":1},{"info":"∃⊬-37B23A⊪=Inf","layer":0}]}
{"id":684,"expression_no_base_symbol":"((+⊝⨔$2764$)∲⫓$1191$⊉≛↸$1536$)⪄($1009$⨁⊸⫻)⨰$2479$⪮%⊝$4257$⩨(($5054$⊠≄⫣)⇋≉)⫸⊐$4325$⨰$1788$⪄$6043$⇷$5199$","expression":"((+⊝⨔∃⊬ACC)∲⫓∃⊬4A7⊉≛↸∃⊬600)⪄(∃⊬3F1⨁⊸⫻)⨰∃⊬9AF⪮%⊝∃⊬10A1⩨((∃⊬13BE⊠≄⫣)⇋≉)⫸⊐∃⊬10E5⨰∃⊬6FC⪄∃⊬179B⇷∃⊬144F","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":84806,"operation_count":14,"complexity_ratio":6057.571428571428,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2764,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1191,"base":16},"right_expr":{"type":"numeric_atoms","value":1536,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1009,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2479,"base":16},"right_expr":{"type":"numeric_atoms","value":4257,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":5054,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4325,"base":16},"right_expr":{"type":"numeric_atoms","value":1788,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6043,"base":16},"right_expr":{"type":"numeric_atoms","value":5199,"base":16}}}}},"used_operators":["2DlMacCsIx","SUmda5xLS4","i8ToyICDmI","DhbWaqg5eL","DZ8iAZOCBD","eewbuw0ToL","glklzrTFfD","IWmyXbctLI","mqXw5SEYmG","XIabStNQrY","DIvbN7qnHd","mp7IySMOzn"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2764","layer":4},{"info":"compute unary expreesion, input=2764, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1191","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=1536, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2382","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=2382, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=1009","layer":4},{"info":"compute unary expreesion, input=1009, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1009","layer":3},{"info":"number node, value=2479","layer":4},{"info":"number node, value=4257","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=4257, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5274","layer":3},{"info":"compute binary expreesion, left_input=1009, right_input=5274, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4255","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4255, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=20931","layer":1},{"info":"number node, value=5054","layer":4},{"info":"compute unary expreesion, input=5054, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"number node, value=4325","layer":4},{"info":"number node, value=1788","layer":4},{"info":"compute binary expreesion, left_input=4325, right_input=1788, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2547","layer":3},{"info":"number node, value=6043","layer":4},{"info":"number node, value=5199","layer":4},{"info":"compute binary expreesion, left_input=6043, right_input=5199, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=10398","layer":3},{"info":"compute binary expreesion, left_input=2547, right_input=10398, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-414637","layer":2},{"info":"compute binary expreesion, left_input=-98, right_input=-414637, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=386","layer":1},{"info":"compute binary expreesion, left_input=20931, right_input=386, 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":"((+⊝⨔∃⊬ACC)∲⫓∃⊬4A7⊉≛↸∃⊬600)⪄(∃⊬3F1⨁⊸⫻)⨰∃⊬9AF⪮%⊝∃⊬10A1⩨((∃⊬13BE⊠≄⫣)⇋≉)⫸⊐∃⊬10E5⨰∃⊬6FC⪄∃⊬179B⇷∃⊬144F=∃⊬0","reverse_text":"∃⊬0=((+⊝⨔∃⊬ACC)∲⫓∃⊬4A7⊉≛↸∃⊬600)⪄(∃⊬3F1⨁⊸⫻)⨰∃⊬9AF⪮%⊝∃⊬10A1⩨((∃⊬13BE⊠≄⫣)⇋≉)⫸⊐∃⊬10E5⨰∃⊬6FC⪄∃⊬179B⇷∃⊬144F","cot":[{"info":"+⊝⨔∃⊬ACC=∃⊬5F2","layer":3},{"info":"∃⊬4A7⊉≛↸∃⊬600=∃⊬94E","layer":3},{"info":"∃⊬5F2∲⫓∃⊬94E=∃⊬0","layer":2},{"info":"∃⊬3F1⨁⊸⫻=∃⊬3F1","layer":3},{"info":"∃⊬9AF⪮%⊝∃⊬10A1=∃⊬149A","layer":3},{"info":"∃⊬3F1⨰∃⊬149A=∃⊬-109F","layer":2},{"info":"∃⊬0⪄∃⊬-109F=∃⊬51C3","layer":1},{"info":"∃⊬13BE⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬0⇋≉=∃⊬-62","layer":2},{"info":"∃⊬10E5⨰∃⊬6FC=∃⊬9F3","layer":3},{"info":"∃⊬179B⇷∃⊬144F=∃⊬289E","layer":3},{"info":"∃⊬9F3⪄∃⊬289E=∃⊬-653AD","layer":2},{"info":"∃⊬-62⫸⊐∃⊬-653AD=∃⊬182","layer":1},{"info":"∃⊬51C3⩨∃⊬182=∃⊬0","layer":0}]}
{"id":685,"expression_no_base_symbol":"(($2638$⇼⇔∾$5206$⋷($1468$+$2514$))∀⇚≩(≤/$5453$⫸⊐$1312$))∼($1952$⋓$7629$⪄$1794$≎⊠⪸$6191$%($1708$⪘⫢$7019$)⪘⫢($1235$+$1181$))","expression":"((∃⊬A4E⇼⇔∾∃⊬1456⋷(∃⊬5BC+∃⊬9D2))∀⇚≩(≤/∃⊬154D⫸⊐∃⊬520))∼(∃⊬7A0⋓∃⊬1DCD⪄∃⊬702≎⊠⪸∃⊬182F%(∃⊬6AC⪘⫢∃⊬1B6B)⪘⫢(∃⊬4D3+∃⊬49D))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38430,"operation_count":14,"complexity_ratio":2745.0,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2638,"base":16},"right_expr":{"type":"numeric_atoms","value":5206,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1468,"base":16},"right_expr":{"type":"numeric_atoms","value":2514,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5453,"base":16},"right_expr":{"type":"numeric_atoms","value":1312,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1952,"base":16},"right_expr":{"type":"numeric_atoms","value":7629,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1794,"base":16},"right_expr":{"type":"numeric_atoms","value":6191,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1708,"base":16},"right_expr":{"type":"numeric_atoms","value":7019,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1235,"base":16},"right_expr":{"type":"numeric_atoms","value":1181,"base":16}}}}},"used_operators":["DyGG3AbaNP","LRNGc0VcxI","23Mk6UjR3U","tifHPKVTfV","W4YGzv6Whe","eLAdDNolq6","mqXw5SEYmG","k8jYdgA6NY","SUmda5xLS4","T2fj7uvVaJ","bJkvcejdHO","oacrs7FA3X"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2638","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=2638, right_input=5206, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2568","layer":3},{"info":"number node, value=1468","layer":4},{"info":"number node, value=2514","layer":4},{"info":"compute binary expreesion, left_input=1468, right_input=2514, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3982","layer":3},{"info":"compute binary expreesion, left_input=2568, right_input=3982, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5396","layer":2},{"info":"number node, value=5453","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=5453, right_input=1312, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5123","layer":3},{"info":"compute unary expreesion, input=5123, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4639","layer":2},{"info":"compute binary expreesion, left_input=5396, right_input=-4639, 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=1952","layer":4},{"info":"number node, value=7629","layer":4},{"info":"compute binary expreesion, left_input=1952, right_input=7629, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=1794","layer":4},{"info":"number node, value=6191","layer":4},{"info":"compute binary expreesion, left_input=1794, right_input=6191, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=464173","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=464173, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1852781","layer":2},{"info":"number node, value=1708","layer":4},{"info":"number node, value=7019","layer":4},{"info":"compute binary expreesion, left_input=1708, right_input=7019, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3292","layer":3},{"info":"number node, value=1235","layer":4},{"info":"number node, value=1181","layer":4},{"info":"compute binary expreesion, left_input=1235, right_input=1181, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2416","layer":3},{"info":"compute binary expreesion, left_input=3292, right_input=2416, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6460","layer":2},{"info":"compute binary expreesion, left_input=-1852781, right_input=6460, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1239","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1239, 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":"((∃⊬A4E⇼⇔∾∃⊬1456⋷(∃⊬5BC+∃⊬9D2))∀⇚≩(≤/∃⊬154D⫸⊐∃⊬520))∼(∃⊬7A0⋓∃⊬1DCD⪄∃⊬702≎⊠⪸∃⊬182F%(∃⊬6AC⪘⫢∃⊬1B6B)⪘⫢(∃⊬4D3+∃⊬49D))=NaN","reverse_text":"NaN=((∃⊬A4E⇼⇔∾∃⊬1456⋷(∃⊬5BC+∃⊬9D2))∀⇚≩(≤/∃⊬154D⫸⊐∃⊬520))∼(∃⊬7A0⋓∃⊬1DCD⪄∃⊬702≎⊠⪸∃⊬182F%(∃⊬6AC⪘⫢∃⊬1B6B)⪘⫢(∃⊬4D3+∃⊬49D))","cot":[{"info":"∃⊬A4E⇼⇔∾∃⊬1456=∃⊬A08","layer":3},{"info":"∃⊬5BC+∃⊬9D2=∃⊬F8E","layer":3},{"info":"∃⊬A08⋷∃⊬F8E=∃⊬1514","layer":2},{"info":"∃⊬154D⫸⊐∃⊬520=∃⊬1403","layer":3},{"info":"≤/∃⊬1403=∃⊬-121F","layer":2},{"info":"∃⊬1514∀⇚≩∃⊬-121F=NaN","layer":1},{"info":"∃⊬7A0⋓∃⊬1DCD=∃⊬0","layer":3},{"info":"∃⊬702≎⊠⪸∃⊬182F=∃⊬7152D","layer":3},{"info":"∃⊬0⪄∃⊬7152D=∃⊬-1C456D","layer":2},{"info":"∃⊬6AC⪘⫢∃⊬1B6B=∃⊬CDC","layer":3},{"info":"∃⊬4D3+∃⊬49D=∃⊬970","layer":3},{"info":"∃⊬CDC⪘⫢∃⊬970=∃⊬193C","layer":2},{"info":"∃⊬-1C456D%∃⊬193C=∃⊬4D7","layer":1},{"info":"NaN∼∃⊬4D7=NaN","layer":0}]}
{"id":686,"expression_no_base_symbol":"($3374$⇼⇔∾$1584$%$1960$≭$2123$)⋳⪒(↩$3057$)⪛($5604$⫥∨⫟$1164$)⋥≓≎(∂(($3436$⇋≉)⊦⊿))","expression":"(∃⊬D2E⇼⇔∾∃⊬630%∃⊬7A8≭∃⊬84B)⋳⪒(↩∃⊬BF1)⪛(∃⊬15E4⫥∨⫟∃⊬48C)⋥≓≎(∂((∃⊬D6C⇋≉)⊦⊿))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":613,"operation_count":11,"complexity_ratio":55.72727272727273,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3374,"base":16},"right_expr":{"type":"numeric_atoms","value":1584,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1960,"base":16},"right_expr":{"type":"numeric_atoms","value":2123,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":3057,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5604,"base":16},"right_expr":{"type":"numeric_atoms","value":1164,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3436,"base":16}}}}},"used_operators":["Qy55tPpLXF","12rbrZMWeM","k8jYdgA6NY","tifHPKVTfV","rxpJgHHUmx","uFcxV4UQCh","jLgFTUHLKL","KYD54nUTWz","Uaa54Peajs","14qkJME0vr","XIabStNQrY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3374","layer":4},{"info":"number node, value=1584","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=1584, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1790","layer":3},{"info":"number node, value=1960","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1960, right_input=2123, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1790, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3057","layer":4},{"info":"compute unary expreesion, input=3057, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-21676","layer":3},{"info":"number node, value=5604","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=5604, right_input=1164, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21676, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3436","layer":4},{"info":"compute unary expreesion, input=3436, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6774","layer":3},{"info":"compute unary expreesion, input=6774, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-20401","layer":2},{"info":"compute unary expreesion, input=-20401, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=20137","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=20137, 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":"(∃⊬D2E⇼⇔∾∃⊬630%∃⊬7A8≭∃⊬84B)⋳⪒(↩∃⊬BF1)⪛(∃⊬15E4⫥∨⫟∃⊬48C)⋥≓≎(∂((∃⊬D6C⇋≉)⊦⊿))=∃⊬43","reverse_text":"∃⊬43=(∃⊬D2E⇼⇔∾∃⊬630%∃⊬7A8≭∃⊬84B)⋳⪒(↩∃⊬BF1)⪛(∃⊬15E4⫥∨⫟∃⊬48C)⋥≓≎(∂((∃⊬D6C⇋≉)⊦⊿))","cot":[{"info":"∃⊬D2E⇼⇔∾∃⊬630=∃⊬-6FE","layer":3},{"info":"∃⊬7A8≭∃⊬84B=NaN","layer":3},{"info":"∃⊬-6FE%NaN=NaN","layer":2},{"info":"↩∃⊬BF1=∃⊬-54AC","layer":3},{"info":"∃⊬15E4⫥∨⫟∃⊬48C=NaN","layer":3},{"info":"∃⊬-54AC⪛NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"∃⊬D6C⇋≉=∃⊬1A76","layer":3},{"info":"∃⊬1A76⊦⊿=∃⊬-4FB1","layer":2},{"info":"∂∃⊬-4FB1=∃⊬4EA9","layer":1},{"info":"NaN⋥≓≎∃⊬4EA9=∃⊬43","layer":0}]}
{"id":687,"expression_no_base_symbol":"($4713$⋝⋈⪟$2730$⊭∹↮)⨟⋌⩍(($1257$*$1954$)≎⊠⪸($2724$⋷$3581$))∲⫓(+⊝⨔(↥$3374$))⨰((≉$2559$)⇋≉)","expression":"(∃⊬1269⋝⋈⪟∃⊬AAA⊭∹↮)⨟⋌⩍((∃⊬4E9*∃⊬7A2)≎⊠⪸(∃⊬AA4⋷∃⊬DFD))∲⫓(+⊝⨔(↥∃⊬D2E))⨰((≉∃⊬9FF)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1638,"operation_count":12,"complexity_ratio":136.5,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4713,"base":16},"right_expr":{"type":"numeric_atoms","value":2730,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":1954,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2724,"base":16},"right_expr":{"type":"numeric_atoms","value":3581,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3374,"base":16}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2559,"base":16}}}}},"used_operators":["i8ToyICDmI","rGHVDoGpnC","xNBdhnnwKq","2DDjHMKMc0","bJkvcejdHO","9HNa5Wba9A","23Mk6UjR3U","eewbuw0ToL","DhbWaqg5eL","A8NUZmVepG","XIabStNQrY","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4713","layer":4},{"info":"number node, value=2730","layer":4},{"info":"compute binary expreesion, left_input=4713, right_input=2730, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4713","layer":3},{"info":"compute unary expreesion, input=4713, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=9426","layer":2},{"info":"number node, value=1257","layer":4},{"info":"number node, value=1954","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=1954, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2456178","layer":3},{"info":"number node, value=2724","layer":4},{"info":"number node, value=3581","layer":4},{"info":"compute binary expreesion, left_input=2724, right_input=3581, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=4438","layer":3},{"info":"compute binary expreesion, left_input=2456178, right_input=4438, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=636149629","layer":2},{"info":"compute binary expreesion, left_input=9426, right_input=636149629, 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=3374","layer":4},{"info":"compute unary expreesion, input=3374, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=8","layer":3},{"info":"compute unary expreesion, input=8, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=2559","layer":4},{"info":"compute unary expreesion, input=2559, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3090","layer":3},{"info":"compute unary expreesion, input=3090, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=6082","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=6082, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-4550","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-4550, 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":"(∃⊬1269⋝⋈⪟∃⊬AAA⊭∹↮)⨟⋌⩍((∃⊬4E9*∃⊬7A2)≎⊠⪸(∃⊬AA4⋷∃⊬DFD))∲⫓(+⊝⨔(↥∃⊬D2E))⨰((≉∃⊬9FF)⇋≉)=NaN","reverse_text":"NaN=(∃⊬1269⋝⋈⪟∃⊬AAA⊭∹↮)⨟⋌⩍((∃⊬4E9*∃⊬7A2)≎⊠⪸(∃⊬AA4⋷∃⊬DFD))∲⫓(+⊝⨔(↥∃⊬D2E))⨰((≉∃⊬9FF)⇋≉)","cot":[{"info":"∃⊬1269⋝⋈⪟∃⊬AAA=∃⊬1269","layer":3},{"info":"∃⊬1269⊭∹↮=∃⊬24D2","layer":2},{"info":"∃⊬4E9*∃⊬7A2=∃⊬257A72","layer":3},{"info":"∃⊬AA4⋷∃⊬DFD=∃⊬1156","layer":3},{"info":"∃⊬257A72≎⊠⪸∃⊬1156=∃⊬25EADF7D","layer":2},{"info":"∃⊬24D2⨟⋌⩍∃⊬25EADF7D=NaN","layer":1},{"info":"↥∃⊬D2E=∃⊬8","layer":3},{"info":"+⊝⨔∃⊬8=∃⊬5F2","layer":2},{"info":"≉∃⊬9FF=∃⊬C12","layer":3},{"info":"∃⊬C12⇋≉=∃⊬17C2","layer":2},{"info":"∃⊬5F2⨰∃⊬17C2=∃⊬-11C6","layer":1},{"info":"NaN∲⫓∃⊬-11C6=NaN","layer":0}]}
{"id":688,"expression_no_base_symbol":"(↥($2024$⊭↱$1553$)⋥≓≎$2187$⪘⫢$1217$)⨐⩸⫘($2004$⪘⫢$2052$⩨$1061$⩷∴$3102$+(≤/$2457$)-($3676$⋫))","expression":"(↥(∃⊬7E8⊭↱∃⊬611)⋥≓≎∃⊬88B⪘⫢∃⊬4C1)⨐⩸⫘(∃⊬7D4⪘⫢∃⊬804⩨∃⊬425⩷∴∃⊬C1E+(≤/∃⊬999)-(∃⊬E5C⋫))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3729,"operation_count":12,"complexity_ratio":310.75,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2024,"base":16},"right_expr":{"type":"numeric_atoms","value":1553,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2187,"base":16},"right_expr":{"type":"numeric_atoms","value":1217,"base":16}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2004,"base":16},"right_expr":{"type":"numeric_atoms","value":2052,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1061,"base":16},"right_expr":{"type":"numeric_atoms","value":3102,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2457,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3676,"base":16}}}}},"used_operators":["fu6greOZ01","A8NUZmVepG","Qy55tPpLXF","COABgblf1C","oacrs7FA3X","W4YGzv6Whe","2DlMacCsIx","9FxExcQeMw","rysDP5nf3Z","eLAdDNolq6","JL8yIekQnl"],"dependent_operators":["3ViojmjbAp","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"number node, value=1553","layer":4},{"info":"compute binary expreesion, left_input=2024, right_input=1553, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-937","layer":3},{"info":"number node, value=2187","layer":4},{"info":"number node, value=1217","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=1217, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4250","layer":3},{"info":"compute binary expreesion, left_input=-937, right_input=4250, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=16","layer":1},{"info":"number node, value=2004","layer":4},{"info":"number node, value=2052","layer":4},{"info":"compute binary expreesion, left_input=2004, right_input=2052, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3884","layer":3},{"info":"number node, value=1061","layer":4},{"info":"number node, value=3102","layer":4},{"info":"compute binary expreesion, left_input=1061, right_input=3102, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-4114","layer":3},{"info":"compute binary expreesion, left_input=3884, right_input=-4114, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"number node, value=2457","layer":4},{"info":"compute unary expreesion, input=2457, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1973","layer":3},{"info":"number node, value=3676","layer":4},{"info":"compute unary expreesion, input=3676, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3676","layer":3},{"info":"compute binary expreesion, left_input=-1973, right_input=3676, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5649","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=-5649, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-5643","layer":1},{"info":"compute binary expreesion, left_input=16, right_input=-5643, 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":"(↥(∃⊬7E8⊭↱∃⊬611)⋥≓≎∃⊬88B⪘⫢∃⊬4C1)⨐⩸⫘(∃⊬7D4⪘⫢∃⊬804⩨∃⊬425⩷∴∃⊬C1E+(≤/∃⊬999)-(∃⊬E5C⋫))=NaN","reverse_text":"NaN=(↥(∃⊬7E8⊭↱∃⊬611)⋥≓≎∃⊬88B⪘⫢∃⊬4C1)⨐⩸⫘(∃⊬7D4⪘⫢∃⊬804⩨∃⊬425⩷∴∃⊬C1E+(≤/∃⊬999)-(∃⊬E5C⋫))","cot":[{"info":"∃⊬7E8⊭↱∃⊬611=∃⊬-3A9","layer":3},{"info":"∃⊬88B⪘⫢∃⊬4C1=∃⊬109A","layer":3},{"info":"∃⊬-3A9⋥≓≎∃⊬109A=∃⊬43","layer":2},{"info":"↥∃⊬43=∃⊬10","layer":1},{"info":"∃⊬7D4⪘⫢∃⊬804=∃⊬F2C","layer":3},{"info":"∃⊬425⩷∴∃⊬C1E=∃⊬-1012","layer":3},{"info":"∃⊬F2C⩨∃⊬-1012=∃⊬6","layer":2},{"info":"≤/∃⊬999=∃⊬-7B5","layer":3},{"info":"∃⊬E5C⋫=∃⊬E5C","layer":3},{"info":"∃⊬-7B5-∃⊬E5C=∃⊬-1611","layer":2},{"info":"∃⊬6+∃⊬-1611=∃⊬-160B","layer":1},{"info":"∃⊬10⨐⩸⫘∃⊬-160B=NaN","layer":0}]}
{"id":689,"expression_no_base_symbol":"(($4683$⋳⪒$3620$/$1906$⩨$1861$)⊠≄⫣)⪘⫢(($1279$⨎$4306$+$4202$⩷∴$2219$)⋥≓≎($6514$+⇶⊼$7173$)∀⇚≩($4709$⨵⪆$6089$))","expression":"((∃⊬124B⋳⪒∃⊬E24/∃⊬772⩨∃⊬745)⊠≄⫣)⪘⫢((∃⊬4FF⨎∃⊬10D2+∃⊬106A⩷∴∃⊬8AB)⋥≓≎(∃⊬1972+⇶⊼∃⊬1C05)∀⇚≩(∃⊬1265⨵⪆∃⊬17C9))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":39,"operation_count":12,"complexity_ratio":3.25,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4683,"base":16},"right_expr":{"type":"numeric_atoms","value":3620,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1906,"base":16},"right_expr":{"type":"numeric_atoms","value":1861,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1279,"base":16},"right_expr":{"type":"numeric_atoms","value":4306,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4202,"base":16},"right_expr":{"type":"numeric_atoms","value":2219,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6514,"base":16},"right_expr":{"type":"numeric_atoms","value":7173,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4709,"base":16},"right_expr":{"type":"numeric_atoms","value":6089,"base":16}}}}},"used_operators":["oacrs7FA3X","DIvbN7qnHd","XhwjNDsVaA","12rbrZMWeM","2DlMacCsIx","Qy55tPpLXF","W4YGzv6Whe","rJVOvQCfKK","9FxExcQeMw","LRNGc0VcxI","TpPTUOHfaN","2DQ55sFlQl"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4683","layer":4},{"info":"number node, value=3620","layer":4},{"info":"compute binary expreesion, left_input=4683, right_input=3620, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5459","layer":3},{"info":"number node, value=1906","layer":4},{"info":"number node, value=1861","layer":4},{"info":"compute binary expreesion, left_input=1906, right_input=1861, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5459, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1279","layer":4},{"info":"number node, value=4306","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=4306, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4306","layer":3},{"info":"number node, value=4202","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=4202, right_input=2219, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3934","layer":3},{"info":"compute binary expreesion, left_input=4306, right_input=3934, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8240","layer":2},{"info":"number node, value=6514","layer":4},{"info":"number node, value=7173","layer":4},{"info":"compute binary expreesion, left_input=6514, right_input=7173, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4709","layer":4},{"info":"number node, value=6089","layer":4},{"info":"compute binary expreesion, left_input=4709, right_input=6089, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8240, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬124B⋳⪒∃⊬E24/∃⊬772⩨∃⊬745)⊠≄⫣)⪘⫢((∃⊬4FF⨎∃⊬10D2+∃⊬106A⩷∴∃⊬8AB)⋥≓≎(∃⊬1972+⇶⊼∃⊬1C05)∀⇚≩(∃⊬1265⨵⪆∃⊬17C9))=NaN","reverse_text":"NaN=((∃⊬124B⋳⪒∃⊬E24/∃⊬772⩨∃⊬745)⊠≄⫣)⪘⫢((∃⊬4FF⨎∃⊬10D2+∃⊬106A⩷∴∃⊬8AB)⋥≓≎(∃⊬1972+⇶⊼∃⊬1C05)∀⇚≩(∃⊬1265⨵⪆∃⊬17C9))","cot":[{"info":"∃⊬124B⋳⪒∃⊬E24=∃⊬1553","layer":3},{"info":"∃⊬772⩨∃⊬745=∃⊬0","layer":3},{"info":"∃⊬1553/∃⊬0=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"∃⊬4FF⨎∃⊬10D2=∃⊬10D2","layer":3},{"info":"∃⊬106A⩷∴∃⊬8AB=∃⊬F5E","layer":3},{"info":"∃⊬10D2+∃⊬F5E=∃⊬2030","layer":2},{"info":"∃⊬1972+⇶⊼∃⊬1C05=NaN","layer":3},{"info":"∃⊬1265⨵⪆∃⊬17C9=∃⊬A0","layer":3},{"info":"NaN∀⇚≩∃⊬A0=NaN","layer":2},{"info":"∃⊬2030⋥≓≎NaN=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":690,"expression_no_base_symbol":"(↩($4395$≭$4066$⊭∹↮))⪢(($1312$≧⫂∧$4128$⊦⊿)⫥∨⫟(($5771$+$5700$)⊉≛↸$1036$⫥∨⫟$4838$))","expression":"(↩(∃⊬112B≭∃⊬FE2⊭∹↮))⪢((∃⊬520≧⫂∧∃⊬1020⊦⊿)⫥∨⫟((∃⊬168B+∃⊬1644)⊉≛↸∃⊬40C⫥∨⫟∃⊬12E6))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":345,"operation_count":10,"complexity_ratio":34.5,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":4395,"base":16},"right_expr":{"type":"numeric_atoms","value":4066,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1312,"base":16},"right_expr":{"type":"numeric_atoms","value":4128,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5771,"base":16},"right_expr":{"type":"numeric_atoms","value":5700,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1036,"base":16},"right_expr":{"type":"numeric_atoms","value":4838,"base":16}}}}},"used_operators":["dWAJyo7jo9","jLgFTUHLKL","xNBdhnnwKq","rxpJgHHUmx","KYD54nUTWz","14qkJME0vr","Ph9nP6C5qx","DZ8iAZOCBD","W4YGzv6Whe"],"dependent_operators":["k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4395","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=4395, right_input=4066, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":1},{"info":"number node, value=1312","layer":4},{"info":"number node, value=4128","layer":4},{"info":"compute binary expreesion, left_input=1312, right_input=4128, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3655","layer":3},{"info":"compute unary expreesion, input=3655, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-11044","layer":2},{"info":"number node, value=5771","layer":4},{"info":"number node, value=5700","layer":4},{"info":"compute binary expreesion, left_input=5771, right_input=5700, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11471","layer":3},{"info":"number node, value=1036","layer":4},{"info":"number node, value=4838","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=4838, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11471, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=22942","layer":2},{"info":"compute binary expreesion, left_input=-11044, right_input=22942, 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 = 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":"(↩(∃⊬112B≭∃⊬FE2⊭∹↮))⪢((∃⊬520≧⫂∧∃⊬1020⊦⊿)⫥∨⫟((∃⊬168B+∃⊬1644)⊉≛↸∃⊬40C⫥∨⫟∃⊬12E6))=NaN","reverse_text":"NaN=(↩(∃⊬112B≭∃⊬FE2⊭∹↮))⪢((∃⊬520≧⫂∧∃⊬1020⊦⊿)⫥∨⫟((∃⊬168B+∃⊬1644)⊉≛↸∃⊬40C⫥∨⫟∃⊬12E6))","cot":[{"info":"∃⊬112B≭∃⊬FE2=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"∃⊬520≧⫂∧∃⊬1020=∃⊬E47","layer":3},{"info":"∃⊬E47⊦⊿=∃⊬-2B24","layer":2},{"info":"∃⊬168B+∃⊬1644=∃⊬2CCF","layer":3},{"info":"∃⊬40C⫥∨⫟∃⊬12E6=NaN","layer":3},{"info":"∃⊬2CCF⊉≛↸NaN=∃⊬599E","layer":2},{"info":"∃⊬-2B24⫥∨⫟∃⊬599E=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":691,"expression_no_base_symbol":"(($3459$⩷∴$3168$⪒($2035$⊘))⪘⫢($2127$⪘⫢$7212$+(⫓⪴$1594$)))≹⇙⪍(($4864$+⇶⊼$1144$⊘)↛⩡⫤)","expression":"((∃⊬D83⩷∴∃⊬C60⪒(∃⊬7F3⊘))⪘⫢(∃⊬84F⪘⫢∃⊬1C2C+(⫓⪴∃⊬63A)))≹⇙⪍((∃⊬1300+⇶⊼∃⊬478⊘)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1733,"operation_count":11,"complexity_ratio":157.54545454545453,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3459,"base":16},"right_expr":{"type":"numeric_atoms","value":3168,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":2035,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2127,"base":16},"right_expr":{"type":"numeric_atoms","value":7212,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1594,"base":16}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4864,"base":16},"right_expr":{"type":"numeric_atoms","value":1144,"base":16}}}}},"used_operators":["AHs5Up7iyr","oacrs7FA3X","f6k1SAg4EE","9FxExcQeMw","gu96TGCTMs","W4YGzv6Whe","eLxqMNBOBk","FU0Cs4j7VP","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3459","layer":4},{"info":"number node, value=3168","layer":4},{"info":"compute binary expreesion, left_input=3459, right_input=3168, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=550","layer":3},{"info":"number node, value=2035","layer":4},{"info":"compute unary expreesion, input=2035, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=550, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-550","layer":2},{"info":"number node, value=2127","layer":4},{"info":"number node, value=7212","layer":4},{"info":"compute binary expreesion, left_input=2127, right_input=7212, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4130","layer":3},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=2540836","layer":3},{"info":"compute binary expreesion, left_input=4130, right_input=2540836, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2544966","layer":2},{"info":"compute binary expreesion, left_input=-550, right_input=2544966, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"number node, value=4864","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=4864, right_input=1144, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬D83⩷∴∃⊬C60⪒(∃⊬7F3⊘))⪘⫢(∃⊬84F⪘⫢∃⊬1C2C+(⫓⪴∃⊬63A)))≹⇙⪍((∃⊬1300+⇶⊼∃⊬478⊘)↛⩡⫤)=NaN","reverse_text":"NaN=((∃⊬D83⩷∴∃⊬C60⪒(∃⊬7F3⊘))⪘⫢(∃⊬84F⪘⫢∃⊬1C2C+(⫓⪴∃⊬63A)))≹⇙⪍((∃⊬1300+⇶⊼∃⊬478⊘)↛⩡⫤)","cot":[{"info":"∃⊬D83⩷∴∃⊬C60=∃⊬226","layer":3},{"info":"∃⊬7F3⊘=∃⊬0","layer":3},{"info":"∃⊬226⪒∃⊬0=∃⊬-226","layer":2},{"info":"∃⊬84F⪘⫢∃⊬1C2C=∃⊬1022","layer":3},{"info":"⫓⪴∃⊬63A=∃⊬26C524","layer":3},{"info":"∃⊬1022+∃⊬26C524=∃⊬26D546","layer":2},{"info":"∃⊬-226⪘⫢∃⊬26D546=∃⊬0","layer":1},{"info":"∃⊬1300+⇶⊼∃⊬478=NaN","layer":3},{"info":"NaN⊘=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"∃⊬0≹⇙⪍NaN=NaN","layer":0}]}
{"id":692,"expression_no_base_symbol":"⫓⪴(($3246$∀⇚≩$1909$)⇷$1543$⪮%⊝$1833$)⇷(+⊝⨔($2147$⪘⫢$2087$))","expression":"⫓⪴((∃⊬CAE∀⇚≩∃⊬775)⇷∃⊬607⪮%⊝∃⊬729)⇷(+⊝⨔(∃⊬863⪘⫢∃⊬827))","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":121099,"operation_count":7,"complexity_ratio":17299.85714285714,"tree":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3246,"base":16},"right_expr":{"type":"numeric_atoms","value":1909,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1543,"base":16},"right_expr":{"type":"numeric_atoms","value":1833,"base":16}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2147,"base":16},"right_expr":{"type":"numeric_atoms","value":2087,"base":16}}}}},"used_operators":["eLxqMNBOBk","mp7IySMOzn","LRNGc0VcxI","IWmyXbctLI","DhbWaqg5eL","oacrs7FA3X"],"dependent_operators":["9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬8D6310","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3246","layer":4},{"info":"number node, value=1909","layer":4},{"info":"compute binary expreesion, left_input=3246, right_input=1909, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=1833","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=1833, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3402","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3402, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6804","layer":2},{"info":"number node, value=2147","layer":4},{"info":"number node, value=2087","layer":4},{"info":"compute binary expreesion, left_input=2147, right_input=2087, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4170","layer":3},{"info":"compute unary expreesion, input=4170, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=6804, right_input=1522, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3044","layer":1},{"info":"compute unary expreesion, input=3044, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9265936","layer":0}],"base":16,"result_base":16,"text":"⫓⪴((∃⊬CAE∀⇚≩∃⊬775)⇷∃⊬607⪮%⊝∃⊬729)⇷(+⊝⨔(∃⊬863⪘⫢∃⊬827))=∃⊬8D6310","reverse_text":"∃⊬8D6310=⫓⪴((∃⊬CAE∀⇚≩∃⊬775)⇷∃⊬607⪮%⊝∃⊬729)⇷(+⊝⨔(∃⊬863⪘⫢∃⊬827))","cot":[{"info":"∃⊬CAE∀⇚≩∃⊬775=NaN","layer":3},{"info":"∃⊬607⪮%⊝∃⊬729=∃⊬D4A","layer":3},{"info":"NaN⇷∃⊬D4A=∃⊬1A94","layer":2},{"info":"∃⊬863⪘⫢∃⊬827=∃⊬104A","layer":3},{"info":"+⊝⨔∃⊬104A=∃⊬5F2","layer":2},{"info":"∃⊬1A94⇷∃⊬5F2=∃⊬BE4","layer":1},{"info":"⫓⪴∃⊬BE4=∃⊬8D6310","layer":0}]}
{"id":693,"expression_no_base_symbol":"((⩦⩻⨪$7010$)%$1616$⋳⪒$2566$)≎⊠⪸(↥$1644$⋳⪒$1166$)⫥∨⫟(↥($1578$⪘⫢$3604$)⪮%⊝($3844$⪠⩆⊳))","expression":"((⩦⩻⨪∃⊬1B62)%∃⊬650⋳⪒∃⊬A06)≎⊠⪸(↥∃⊬66C⋳⪒∃⊬48E)⫥∨⫟(↥(∃⊬62A⪘⫢∃⊬E14)⪮%⊝(∃⊬F04⪠⩆⊳))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":454,"operation_count":11,"complexity_ratio":41.27272727272727,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":7010,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1616,"base":16},"right_expr":{"type":"numeric_atoms","value":2566,"base":16}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1644,"base":16},"right_expr":{"type":"numeric_atoms","value":1166,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1578,"base":16},"right_expr":{"type":"numeric_atoms","value":3604,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":3844,"base":16}}}}},"used_operators":["KYD54nUTWz","bJkvcejdHO","k8jYdgA6NY","2td37pGCOC","12rbrZMWeM","A8NUZmVepG","IWmyXbctLI","oacrs7FA3X","JLbD19bQDL"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7010","layer":4},{"info":"compute unary expreesion, input=7010, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7010","layer":3},{"info":"number node, value=1616","layer":4},{"info":"number node, value=2566","layer":4},{"info":"compute binary expreesion, left_input=1616, right_input=2566, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=379","layer":3},{"info":"compute binary expreesion, left_input=7010, right_input=379, op_id = k8jYdgA6NY binary_op_definition= 'None', output=188","layer":2},{"info":"number node, value=1644","layer":4},{"info":"number node, value=1166","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=1166, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1835","layer":3},{"info":"compute unary expreesion, input=1835, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=50","layer":2},{"info":"compute binary expreesion, left_input=188, right_input=50, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=48219","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=3604","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=3604, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3032","layer":3},{"info":"number node, value=3844","layer":4},{"info":"compute unary expreesion, input=3844, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=3032, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=48219, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⩦⩻⨪∃⊬1B62)%∃⊬650⋳⪒∃⊬A06)≎⊠⪸(↥∃⊬66C⋳⪒∃⊬48E)⫥∨⫟(↥(∃⊬62A⪘⫢∃⊬E14)⪮%⊝(∃⊬F04⪠⩆⊳))=NaN","reverse_text":"NaN=((⩦⩻⨪∃⊬1B62)%∃⊬650⋳⪒∃⊬A06)≎⊠⪸(↥∃⊬66C⋳⪒∃⊬48E)⫥∨⫟(↥(∃⊬62A⪘⫢∃⊬E14)⪮%⊝(∃⊬F04⪠⩆⊳))","cot":[{"info":"⩦⩻⨪∃⊬1B62=∃⊬1B62","layer":3},{"info":"∃⊬650⋳⪒∃⊬A06=∃⊬17B","layer":3},{"info":"∃⊬1B62%∃⊬17B=∃⊬BC","layer":2},{"info":"∃⊬66C⋳⪒∃⊬48E=∃⊬72B","layer":3},{"info":"↥∃⊬72B=∃⊬32","layer":2},{"info":"∃⊬BC≎⊠⪸∃⊬32=∃⊬BC5B","layer":1},{"info":"∃⊬62A⪘⫢∃⊬E14=∃⊬BD8","layer":3},{"info":"∃⊬F04⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬BD8⪮%⊝∃⊬0=NaN","layer":2},{"info":"↥NaN=NaN","layer":1},{"info":"∃⊬BC5B⫥∨⫟NaN=NaN","layer":0}]}
{"id":694,"expression_no_base_symbol":"(($3569$⩤)+⇶⊼$1008$≧⫂∧$5601$)⨓($5606$≭$1963$⨳⩥⨓$5910$≹⇙⪍$1556$)/(≤/$2923$)⊴($2745$∀⇚≩$6073$)%(⊥$3020$)∀⇚≩($1374$⩨$3229$)","expression":"((∃⊬DF1⩤)+⇶⊼∃⊬3F0≧⫂∧∃⊬15E1)⨓(∃⊬15E6≭∃⊬7AB⨳⩥⨓∃⊬1716≹⇙⪍∃⊬614)/(≤/∃⊬B6B)⊴(∃⊬AB9∀⇚≩∃⊬17B9)%(⊥∃⊬BCC)∀⇚≩(∃⊬55E⩨∃⊬C9D)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":19247,"operation_count":15,"complexity_ratio":1283.1333333333334,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":3569,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1008,"base":16},"right_expr":{"type":"numeric_atoms","value":5601,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5606,"base":16},"right_expr":{"type":"numeric_atoms","value":1963,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5910,"base":16},"right_expr":{"type":"numeric_atoms","value":1556,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2923,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2745,"base":16},"right_expr":{"type":"numeric_atoms","value":6073,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3020,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1374,"base":16},"right_expr":{"type":"numeric_atoms","value":3229,"base":16}}}}},"used_operators":["XhwjNDsVaA","3ViojmjbAp","TpPTUOHfaN","Z2TMIBDE3Q","Ph9nP6C5qx","nCS4ZIUYfx","rxpJgHHUmx","AHs5Up7iyr","k8jYdgA6NY","Nsiff2A1zJ","eLAdDNolq6","LRNGc0VcxI","Q3PJZHRvZv","2DlMacCsIx"],"dependent_operators":["rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","dWAJyo7jo9","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","X99M06cbEe","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3569","layer":4},{"info":"compute unary expreesion, input=3569, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-3569","layer":3},{"info":"number node, value=1008","layer":4},{"info":"number node, value=5601","layer":4},{"info":"compute binary expreesion, left_input=1008, right_input=5601, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5128","layer":3},{"info":"compute binary expreesion, left_input=-3569, right_input=5128, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5606","layer":4},{"info":"number node, value=1963","layer":4},{"info":"compute binary expreesion, left_input=5606, right_input=1963, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5910","layer":4},{"info":"number node, value=1556","layer":4},{"info":"compute binary expreesion, left_input=5910, right_input=1556, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2923","layer":4},{"info":"compute unary expreesion, input=2923, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2439","layer":3},{"info":"number node, value=2745","layer":4},{"info":"number node, value=6073","layer":4},{"info":"compute binary expreesion, left_input=2745, right_input=6073, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2439, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=3020","layer":4},{"info":"compute unary expreesion, input=3020, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1374","layer":4},{"info":"number node, value=3229","layer":4},{"info":"compute binary expreesion, left_input=1374, right_input=3229, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-6, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬DF1⩤)+⇶⊼∃⊬3F0≧⫂∧∃⊬15E1)⨓(∃⊬15E6≭∃⊬7AB⨳⩥⨓∃⊬1716≹⇙⪍∃⊬614)/(≤/∃⊬B6B)⊴(∃⊬AB9∀⇚≩∃⊬17B9)%(⊥∃⊬BCC)∀⇚≩(∃⊬55E⩨∃⊬C9D)=NaN","reverse_text":"NaN=((∃⊬DF1⩤)+⇶⊼∃⊬3F0≧⫂∧∃⊬15E1)⨓(∃⊬15E6≭∃⊬7AB⨳⩥⨓∃⊬1716≹⇙⪍∃⊬614)/(≤/∃⊬B6B)⊴(∃⊬AB9∀⇚≩∃⊬17B9)%(⊥∃⊬BCC)∀⇚≩(∃⊬55E⩨∃⊬C9D)","cot":[{"info":"∃⊬DF1⩤=∃⊬-DF1","layer":3},{"info":"∃⊬3F0≧⫂∧∃⊬15E1=∃⊬1408","layer":3},{"info":"∃⊬-DF1+⇶⊼∃⊬1408=NaN","layer":2},{"info":"∃⊬15E6≭∃⊬7AB=NaN","layer":3},{"info":"∃⊬1716≹⇙⪍∃⊬614=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"≤/∃⊬B6B=∃⊬-987","layer":3},{"info":"∃⊬AB9∀⇚≩∃⊬17B9=NaN","layer":3},{"info":"∃⊬-987⊴NaN=NaN","layer":2},{"info":"⊥∃⊬BCC=NaN","layer":3},{"info":"∃⊬55E⩨∃⊬C9D=∃⊬-6","layer":3},{"info":"NaN∀⇚≩∃⊬-6=NaN","layer":2},{"info":"NaN%NaN=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":695,"expression_no_base_symbol":"((⇁⨣⪵($3276$/$4118$))⩤)⩷∴((($3565$↙$3426$)⨁⊸⫻)≎⊠⪸$2702$⪛$2929$⇷($2072$⩷∴$1072$))","expression":"((⇁⨣⪵(∃⊬CCC/∃⊬1016))⩤)⩷∴(((∃⊬DED↙∃⊬D62)⨁⊸⫻)≎⊠⪸∃⊬A8E⪛∃⊬B71⇷(∃⊬818⩷∴∃⊬430))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":41556,"operation_count":10,"complexity_ratio":4155.6,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3276,"base":16},"right_expr":{"type":"numeric_atoms","value":4118,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3565,"base":16},"right_expr":{"type":"numeric_atoms","value":3426,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2702,"base":16},"right_expr":{"type":"numeric_atoms","value":2929,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2072,"base":16},"right_expr":{"type":"numeric_atoms","value":1072,"base":16}}}}},"used_operators":["9FxExcQeMw","Z2TMIBDE3Q","inkyxCbjAn","XhwjNDsVaA","bJkvcejdHO","glklzrTFfD","yyfyN0ffXY","mp7IySMOzn","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬-A279E8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3276","layer":4},{"info":"number node, value=4118","layer":4},{"info":"compute binary expreesion, left_input=3276, right_input=4118, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":1},{"info":"number node, value=3565","layer":4},{"info":"number node, value=3426","layer":4},{"info":"compute binary expreesion, left_input=3565, right_input=3426, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10278","layer":3},{"info":"compute unary expreesion, input=-10278, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=-20556","layer":2},{"info":"number node, value=2702","layer":4},{"info":"number node, value=2929","layer":4},{"info":"compute binary expreesion, left_input=2702, right_input=2929, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2702","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=1072","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1072, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1968","layer":3},{"info":"compute binary expreesion, left_input=2702, right_input=1968, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3936","layer":2},{"info":"compute binary expreesion, left_input=-20556, right_input=3936, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=5324004","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=5324004, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-10648040","layer":0}],"base":16,"result_base":16,"text":"((⇁⨣⪵(∃⊬CCC/∃⊬1016))⩤)⩷∴(((∃⊬DED↙∃⊬D62)⨁⊸⫻)≎⊠⪸∃⊬A8E⪛∃⊬B71⇷(∃⊬818⩷∴∃⊬430))=∃⊬-A279E8","reverse_text":"∃⊬-A279E8=((⇁⨣⪵(∃⊬CCC/∃⊬1016))⩤)⩷∴(((∃⊬DED↙∃⊬D62)⨁⊸⫻)≎⊠⪸∃⊬A8E⪛∃⊬B71⇷(∃⊬818⩷∴∃⊬430))","cot":[{"info":"∃⊬CCC/∃⊬1016=∃⊬0","layer":3},{"info":"⇁⨣⪵∃⊬0=∃⊬0","layer":2},{"info":"∃⊬0⩤=∃⊬0","layer":1},{"info":"∃⊬DED↙∃⊬D62=∃⊬-2826","layer":3},{"info":"∃⊬-2826⨁⊸⫻=∃⊬-504C","layer":2},{"info":"∃⊬A8E⪛∃⊬B71=∃⊬A8E","layer":3},{"info":"∃⊬818⩷∴∃⊬430=∃⊬7B0","layer":3},{"info":"∃⊬A8E⇷∃⊬7B0=∃⊬F60","layer":2},{"info":"∃⊬-504C≎⊠⪸∃⊬F60=∃⊬513CE4","layer":1},{"info":"∃⊬0⩷∴∃⊬513CE4=∃⊬-A279E8","layer":0}]}
{"id":696,"expression_no_base_symbol":"(≦∁($1228$⋓$2959$⇋≉))⩤","expression":"(≦∁(∃⊬4CC⋓∃⊬B8F⇋≉))⩤","highest_n_order":3,"priority_hierarchical_complexity":3,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1228,"base":16},"right_expr":{"type":"numeric_atoms","value":2959,"base":16}}}}},"used_operators":["Z2TMIBDE3Q","9ICcGScMcE","XIabStNQrY","T2fj7uvVaJ"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"∃⊬-43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1228","layer":4},{"info":"number node, value=2959","layer":4},{"info":"compute binary expreesion, left_input=1228, right_input=2959, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":2},{"info":"compute unary expreesion, input=-98, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-67","layer":0}],"base":16,"result_base":16,"text":"(≦∁(∃⊬4CC⋓∃⊬B8F⇋≉))⩤=∃⊬-43","reverse_text":"∃⊬-43=(≦∁(∃⊬4CC⋓∃⊬B8F⇋≉))⩤","cot":[{"info":"∃⊬4CC⋓∃⊬B8F=∃⊬0","layer":3},{"info":"∃⊬0⇋≉=∃⊬-62","layer":2},{"info":"≦∁∃⊬-62=∃⊬43","layer":1},{"info":"∃⊬43⩤=∃⊬-43","layer":0}]}
{"id":697,"expression_no_base_symbol":"($1040$⨟⋌⩍$1098$⫡⨏$1671$-$2610$⪨≂($3186$↬$5671$)⇷$1824$⪮%⊝$2794$)↛⩡⫤","expression":"(∃⊬410⨟⋌⩍∃⊬44A⫡⨏∃⊬687-∃⊬A32⪨≂(∃⊬C72↬∃⊬1627)⇷∃⊬720⪮%⊝∃⊬AEA)↛⩡⫤","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":94,"operation_count":8,"complexity_ratio":11.75,"tree":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1040,"base":16},"right_expr":{"type":"numeric_atoms","value":1098,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1671,"base":16},"right_expr":{"type":"numeric_atoms","value":2610,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3186,"base":16},"right_expr":{"type":"numeric_atoms","value":5671,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1824,"base":16},"right_expr":{"type":"numeric_atoms","value":2794,"base":16}}}}},"used_operators":["FU0Cs4j7VP","sdazOOVcIp","QMFrweE19q","rGHVDoGpnC","rysDP5nf3Z","mp7IySMOzn","B5M0gjZbta","IWmyXbctLI"],"dependent_operators":["8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1040","layer":4},{"info":"number node, value=1098","layer":4},{"info":"compute binary expreesion, left_input=1040, right_input=1098, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1671","layer":4},{"info":"number node, value=2610","layer":4},{"info":"compute binary expreesion, left_input=1671, right_input=2610, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-939","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-939, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=3186","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=3186, right_input=5671, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1824","layer":4},{"info":"number node, value=2794","layer":4},{"info":"compute binary expreesion, left_input=1824, right_input=2794, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3964","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3964, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7928","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=7928, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬410⨟⋌⩍∃⊬44A⫡⨏∃⊬687-∃⊬A32⪨≂(∃⊬C72↬∃⊬1627)⇷∃⊬720⪮%⊝∃⊬AEA)↛⩡⫤=NaN","reverse_text":"NaN=(∃⊬410⨟⋌⩍∃⊬44A⫡⨏∃⊬687-∃⊬A32⪨≂(∃⊬C72↬∃⊬1627)⇷∃⊬720⪮%⊝∃⊬AEA)↛⩡⫤","cot":[{"info":"∃⊬410⨟⋌⩍∃⊬44A=NaN","layer":3},{"info":"∃⊬687-∃⊬A32=∃⊬-3AB","layer":3},{"info":"NaN⫡⨏∃⊬-3AB=NaN","layer":2},{"info":"∃⊬C72↬∃⊬1627=NaN","layer":3},{"info":"∃⊬720⪮%⊝∃⊬AEA=∃⊬F7C","layer":3},{"info":"NaN⇷∃⊬F7C=∃⊬1EF8","layer":2},{"info":"NaN⪨≂∃⊬1EF8=NaN","layer":1},{"info":"NaN↛⩡⫤=NaN","layer":0}]}
{"id":698,"expression_no_base_symbol":"⩦⩻⨪($1969$⊴$1915$⪢($8432$⨎$1116$)⊦⊿)","expression":"⩦⩻⨪(∃⊬7B1⊴∃⊬77B⪢(∃⊬20F0⨎∃⊬45C)⊦⊿)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":5392,"operation_count":5,"complexity_ratio":1078.4,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1969,"base":16},"right_expr":{"type":"numeric_atoms","value":1915,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":8432,"base":16},"right_expr":{"type":"numeric_atoms","value":1116,"base":16}}}}},"used_operators":["2td37pGCOC","14qkJME0vr","dWAJyo7jo9","Nsiff2A1zJ","rJVOvQCfKK"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1969","layer":4},{"info":"number node, value=1915","layer":4},{"info":"compute binary expreesion, left_input=1969, right_input=1915, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=8432","layer":4},{"info":"number node, value=1116","layer":4},{"info":"compute binary expreesion, left_input=8432, right_input=1116, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1116","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1116, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(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":"⩦⩻⨪(∃⊬7B1⊴∃⊬77B⪢(∃⊬20F0⨎∃⊬45C)⊦⊿)=NaN","reverse_text":"NaN=⩦⩻⨪(∃⊬7B1⊴∃⊬77B⪢(∃⊬20F0⨎∃⊬45C)⊦⊿)","cot":[{"info":"∃⊬7B1⊴∃⊬77B=NaN","layer":3},{"info":"∃⊬20F0⨎∃⊬45C=∃⊬45C","layer":3},{"info":"NaN⪢∃⊬45C=NaN","layer":2},{"info":"NaN⊦⊿=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":699,"expression_no_base_symbol":"(($1487$↺$9072$)⇷(⨑⩽⪐$1116$)↙(+⊝⨔($4051$⨰$1594$)))⪢(⊄⩳↩($1573$≎⊠⪸$1305$-$3562$⫥∨⫟$1246$))","expression":"((∃⊬5CF↺∃⊬2370)⇷(⨑⩽⪐∃⊬45C)↙(+⊝⨔(∃⊬FD3⨰∃⊬63A)))⪢(⊄⩳↩(∃⊬625≎⊠⪸∃⊬519-∃⊬DEA⫥∨⫟∃⊬4DE))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":127498,"operation_count":11,"complexity_ratio":11590.727272727272,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1487,"base":16},"right_expr":{"type":"numeric_atoms","value":9072,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1116,"base":16}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4051,"base":16},"right_expr":{"type":"numeric_atoms","value":1594,"base":16}}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1573,"base":16},"right_expr":{"type":"numeric_atoms","value":1305,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3562,"base":16},"right_expr":{"type":"numeric_atoms","value":1246,"base":16}}}}},"used_operators":["dWAJyo7jo9","yyfyN0ffXY","mp7IySMOzn","7j4O788W3g","AF7qkfDlqP","DhbWaqg5eL","eewbuw0ToL","8w2t5hMYqp","rysDP5nf3Z","bJkvcejdHO","KYD54nUTWz"],"dependent_operators":["k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1487","layer":4},{"info":"number node, value=9072","layer":4},{"info":"compute binary expreesion, left_input=1487, right_input=9072, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9072","layer":3},{"info":"number node, value=1116","layer":4},{"info":"compute unary expreesion, input=1116, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-843","layer":3},{"info":"compute binary expreesion, left_input=9072, right_input=-843, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=4051","layer":4},{"info":"number node, value=1594","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=1594, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2467","layer":3},{"info":"compute unary expreesion, input=2467, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=1573","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=1305, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=406934","layer":3},{"info":"number node, value=3562","layer":4},{"info":"number node, value=1246","layer":4},{"info":"compute binary expreesion, left_input=3562, right_input=1246, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=406934, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬5CF↺∃⊬2370)⇷(⨑⩽⪐∃⊬45C)↙(+⊝⨔(∃⊬FD3⨰∃⊬63A)))⪢(⊄⩳↩(∃⊬625≎⊠⪸∃⊬519-∃⊬DEA⫥∨⫟∃⊬4DE))=NaN","reverse_text":"NaN=((∃⊬5CF↺∃⊬2370)⇷(⨑⩽⪐∃⊬45C)↙(+⊝⨔(∃⊬FD3⨰∃⊬63A)))⪢(⊄⩳↩(∃⊬625≎⊠⪸∃⊬519-∃⊬DEA⫥∨⫟∃⊬4DE))","cot":[{"info":"∃⊬5CF↺∃⊬2370=∃⊬2370","layer":3},{"info":"⨑⩽⪐∃⊬45C=∃⊬-34B","layer":3},{"info":"∃⊬2370⇷∃⊬-34B=NaN","layer":2},{"info":"∃⊬FD3⨰∃⊬63A=∃⊬9A3","layer":3},{"info":"+⊝⨔∃⊬9A3=∃⊬5F2","layer":2},{"info":"NaN↙∃⊬5F2=NaN","layer":1},{"info":"∃⊬625≎⊠⪸∃⊬519=∃⊬63596","layer":3},{"info":"∃⊬DEA⫥∨⫟∃⊬4DE=NaN","layer":3},{"info":"∃⊬63596-NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":700,"expression_no_base_symbol":"⊄⩳↩(($2169$⨽$3497$)⨽(≉$5623$)≋⫹)","expression":"⊄⩳↩((∃⊬879⨽∃⊬DA9)⨽(≉∃⊬15F7)≋⫹)","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":14125055,"operation_count":5,"complexity_ratio":2825011.0,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2169,"base":16},"right_expr":{"type":"numeric_atoms","value":3497,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":5623,"base":16}}}}},"used_operators":["8w2t5hMYqp","N41Kp7NANJ","8HhzD0ZcuI","e1ybzncUwg"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"number node, value=3497","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=3497, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14122860","layer":3},{"info":"number node, value=5623","layer":4},{"info":"compute unary expreesion, input=5623, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=6154","layer":3},{"info":"compute binary expreesion, left_input=-14122860, right_input=6154, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=inf","layer":1},{"info":"compute unary expreesion, input=inf, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-inf","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩((∃⊬879⨽∃⊬DA9)⨽(≉∃⊬15F7)≋⫹)=-Inf","reverse_text":"-Inf=⊄⩳↩((∃⊬879⨽∃⊬DA9)⨽(≉∃⊬15F7)≋⫹)","cot":[{"info":"∃⊬879⨽∃⊬DA9=∃⊬-D77F6C","layer":3},{"info":"≉∃⊬15F7=∃⊬180A","layer":3},{"info":"∃⊬-D77F6C⨽∃⊬180A=-Inf","layer":2},{"info":"-Inf≋⫹=Inf","layer":1},{"info":"⊄⩳↩Inf=-Inf","layer":0}]}
{"id":701,"expression_no_base_symbol":"(-(+⊝⨔($1159$%$3009$)))-($3496$⨓$2019$)⪘⫢($5534$⪄$2319$)⫸⊐($1188$⋝⋈⪟$1067$)⪛($3266$⋥≓≎$2177$)","expression":"(-(+⊝⨔(∃⊬487%∃⊬BC1)))-(∃⊬DA8⨓∃⊬7E3)⪘⫢(∃⊬159E⪄∃⊬90F)⫸⊐(∃⊬4A4⋝⋈⪟∃⊬42B)⪛(∃⊬CC2⋥≓≎∃⊬881)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2187,"operation_count":11,"complexity_ratio":198.8181818181818,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1159,"base":16},"right_expr":{"type":"numeric_atoms","value":3009,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":3496,"base":16},"right_expr":{"type":"numeric_atoms","value":2019,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5534,"base":16},"right_expr":{"type":"numeric_atoms","value":2319,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1188,"base":16},"right_expr":{"type":"numeric_atoms","value":1067,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3266,"base":16},"right_expr":{"type":"numeric_atoms","value":2177,"base":16}}}}},"used_operators":["rysDP5nf3Z","t8gj7n24qd","DhbWaqg5eL","k8jYdgA6NY","mqXw5SEYmG","oacrs7FA3X","3ViojmjbAp","SUmda5xLS4","uFcxV4UQCh","2DDjHMKMc0","Qy55tPpLXF"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-7D5","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1159","layer":4},{"info":"number node, value=3009","layer":4},{"info":"compute binary expreesion, left_input=1159, right_input=3009, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1159","layer":3},{"info":"compute unary expreesion, input=1159, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1522","layer":1},{"info":"number node, value=3496","layer":4},{"info":"number node, value=2019","layer":4},{"info":"compute binary expreesion, left_input=3496, right_input=2019, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2022","layer":3},{"info":"number node, value=5534","layer":4},{"info":"number node, value=2319","layer":4},{"info":"compute binary expreesion, left_input=5534, right_input=2319, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-824397","layer":3},{"info":"compute binary expreesion, left_input=-2022, right_input=-824397, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1067","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1067, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1188","layer":3},{"info":"number node, value=3266","layer":4},{"info":"number node, value=2177","layer":4},{"info":"compute binary expreesion, left_input=3266, right_input=2177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1121","layer":3},{"info":"compute binary expreesion, left_input=1188, right_input=1121, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=67, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=483","layer":1},{"info":"compute binary expreesion, left_input=-1522, right_input=483, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2005","layer":0}],"base":16,"result_base":16,"text":"(-(+⊝⨔(∃⊬487%∃⊬BC1)))-(∃⊬DA8⨓∃⊬7E3)⪘⫢(∃⊬159E⪄∃⊬90F)⫸⊐(∃⊬4A4⋝⋈⪟∃⊬42B)⪛(∃⊬CC2⋥≓≎∃⊬881)=∃⊬-7D5","reverse_text":"∃⊬-7D5=(-(+⊝⨔(∃⊬487%∃⊬BC1)))-(∃⊬DA8⨓∃⊬7E3)⪘⫢(∃⊬159E⪄∃⊬90F)⫸⊐(∃⊬4A4⋝⋈⪟∃⊬42B)⪛(∃⊬CC2⋥≓≎∃⊬881)","cot":[{"info":"∃⊬487%∃⊬BC1=∃⊬487","layer":3},{"info":"+⊝⨔∃⊬487=∃⊬5F2","layer":2},{"info":"-∃⊬5F2=∃⊬-5F2","layer":1},{"info":"∃⊬DA8⨓∃⊬7E3=∃⊬-7E6","layer":3},{"info":"∃⊬159E⪄∃⊬90F=∃⊬-C944D","layer":3},{"info":"∃⊬-7E6⪘⫢∃⊬-C944D=∃⊬-1","layer":2},{"info":"∃⊬4A4⋝⋈⪟∃⊬42B=∃⊬4A4","layer":3},{"info":"∃⊬CC2⋥≓≎∃⊬881=∃⊬461","layer":3},{"info":"∃⊬4A4⪛∃⊬461=∃⊬43","layer":2},{"info":"∃⊬-1⫸⊐∃⊬43=∃⊬1E3","layer":1},{"info":"∃⊬-5F2-∃⊬1E3=∃⊬-7D5","layer":0}]}
{"id":702,"expression_no_base_symbol":"(($1840$⨎$1114$%$4585$%$1523$)≎⊠⪸(($1434$∸)⩨(⨑⩽⪐$1677$)))⩠","expression":"((∃⊬730⨎∃⊬45A%∃⊬11E9%∃⊬5F3)≎⊠⪸((∃⊬59A∸)⩨(⨑⩽⪐∃⊬68D)))⩠","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":303,"operation_count":8,"complexity_ratio":37.875,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1840,"base":16},"right_expr":{"type":"numeric_atoms","value":1114,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4585,"base":16},"right_expr":{"type":"numeric_atoms","value":1523,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1434,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1677,"base":16}}}}},"used_operators":["sJAwomhLZr","bJkvcejdHO","k8jYdgA6NY","rJVOvQCfKK","2DlMacCsIx","o20kRiQErp","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1840","layer":4},{"info":"number node, value=1114","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1114, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1114","layer":3},{"info":"number node, value=4585","layer":4},{"info":"number node, value=1523","layer":4},{"info":"compute binary expreesion, left_input=4585, right_input=1523, op_id = k8jYdgA6NY binary_op_definition= 'None', output=16","layer":3},{"info":"compute binary expreesion, left_input=1114, right_input=16, op_id = k8jYdgA6NY binary_op_definition= 'None', output=10","layer":2},{"info":"number node, value=1434","layer":4},{"info":"compute unary expreesion, input=1434, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1677","layer":4},{"info":"compute unary expreesion, input=1677, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1404","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-1404, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=24","layer":2},{"info":"compute binary expreesion, left_input=10, right_input=24, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=2117","layer":1},{"info":"compute unary expreesion, input=2117, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"((∃⊬730⨎∃⊬45A%∃⊬11E9%∃⊬5F3)≎⊠⪸((∃⊬59A∸)⩨(⨑⩽⪐∃⊬68D)))⩠=∃⊬0","reverse_text":"∃⊬0=((∃⊬730⨎∃⊬45A%∃⊬11E9%∃⊬5F3)≎⊠⪸((∃⊬59A∸)⩨(⨑⩽⪐∃⊬68D)))⩠","cot":[{"info":"∃⊬730⨎∃⊬45A=∃⊬45A","layer":3},{"info":"∃⊬11E9%∃⊬5F3=∃⊬10","layer":3},{"info":"∃⊬45A%∃⊬10=∃⊬A","layer":2},{"info":"∃⊬59A∸=∃⊬B1","layer":3},{"info":"⨑⩽⪐∃⊬68D=∃⊬-57C","layer":3},{"info":"∃⊬B1⩨∃⊬-57C=∃⊬18","layer":2},{"info":"∃⊬A≎⊠⪸∃⊬18=∃⊬845","layer":1},{"info":"∃⊬845⩠=∃⊬0","layer":0}]}
{"id":703,"expression_no_base_symbol":"($3457$+⇶⊼$1144$-(⫛⫱⨽$2989$))⪮%⊝((⇁⨣⪵$1070$)⩨$2928$↙$2528$)⊦⊿","expression":"(∃⊬D81+⇶⊼∃⊬478-(⫛⫱⨽∃⊬BAD))⪮%⊝((⇁⨣⪵∃⊬42E)⩨∃⊬B70↙∃⊬9E0)⊦⊿","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3975,"operation_count":8,"complexity_ratio":496.875,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3457,"base":16},"right_expr":{"type":"numeric_atoms","value":1144,"base":16}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2989,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1070,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2928,"base":16},"right_expr":{"type":"numeric_atoms","value":2528,"base":16}}}}},"used_operators":["14qkJME0vr","IWmyXbctLI","rysDP5nf3Z","TpPTUOHfaN","DlLNRPXxWL","2DlMacCsIx","inkyxCbjAn","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=1144, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2989","layer":4},{"info":"compute unary expreesion, input=2989, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1070","layer":4},{"info":"compute unary expreesion, input=1070, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2928","layer":4},{"info":"number node, value=2528","layer":4},{"info":"compute binary expreesion, left_input=2928, right_input=2528, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7584","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7584, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D81+⇶⊼∃⊬478-(⫛⫱⨽∃⊬BAD))⪮%⊝((⇁⨣⪵∃⊬42E)⩨∃⊬B70↙∃⊬9E0)⊦⊿=NaN","reverse_text":"NaN=(∃⊬D81+⇶⊼∃⊬478-(⫛⫱⨽∃⊬BAD))⪮%⊝((⇁⨣⪵∃⊬42E)⩨∃⊬B70↙∃⊬9E0)⊦⊿","cot":[{"info":"∃⊬D81+⇶⊼∃⊬478=NaN","layer":3},{"info":"⫛⫱⨽∃⊬BAD=∃⊬0","layer":3},{"info":"NaN-∃⊬0=NaN","layer":2},{"info":"⇁⨣⪵∃⊬42E=NaN","layer":3},{"info":"∃⊬B70↙∃⊬9E0=∃⊬-1DA0","layer":3},{"info":"NaN⩨∃⊬-1DA0=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":704,"expression_no_base_symbol":"(↯⪼($2136$∀⇚≩$6402$⋝⋈⪟($2195$⊭↱$1746$)))⨰(($5924$⊉≛↸$5657$)⫥∨⫟(⋗⩬⋾$1195$)⨵⪆(($6461$/$2303$)⊪))","expression":"(↯⪼(∃⊬858∀⇚≩∃⊬1902⋝⋈⪟(∃⊬893⊭↱∃⊬6D2)))⨰((∃⊬1724⊉≛↸∃⊬1619)⫥∨⫟(⋗⩬⋾∃⊬4AB)⨵⪆((∃⊬193D/∃⊬8FF)⊪))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":15174,"operation_count":11,"complexity_ratio":1379.4545454545455,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2136,"base":16},"right_expr":{"type":"numeric_atoms","value":6402,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2195,"base":16},"right_expr":{"type":"numeric_atoms","value":1746,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5924,"base":16},"right_expr":{"type":"numeric_atoms","value":5657,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1195,"base":16}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":6461,"base":16},"right_expr":{"type":"numeric_atoms","value":2303,"base":16}}}}},"used_operators":["eewbuw0ToL","8jW3W4yZS5","2DDjHMKMc0","LRNGc0VcxI","COABgblf1C","2DQ55sFlQl","KYD54nUTWz","DZ8iAZOCBD","DpFCA1CohY","zVYPLywUTj","XhwjNDsVaA"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rysDP5nf3Z"],"result":"∃⊬-AB","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2136","layer":4},{"info":"number node, value=6402","layer":4},{"info":"compute binary expreesion, left_input=2136, right_input=6402, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2195","layer":4},{"info":"number node, value=1746","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=1746, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-893","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-893, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=5924","layer":4},{"info":"number node, value=5657","layer":4},{"info":"compute binary expreesion, left_input=5924, right_input=5657, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11848","layer":3},{"info":"number node, value=1195","layer":4},{"info":"compute unary expreesion, input=1195, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3585","layer":3},{"info":"compute binary expreesion, left_input=11848, right_input=-3585, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=6461","layer":4},{"info":"number node, value=2303","layer":4},{"info":"compute binary expreesion, left_input=6461, right_input=2303, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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=-21, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-171","layer":0}],"base":16,"result_base":16,"text":"(↯⪼(∃⊬858∀⇚≩∃⊬1902⋝⋈⪟(∃⊬893⊭↱∃⊬6D2)))⨰((∃⊬1724⊉≛↸∃⊬1619)⫥∨⫟(⋗⩬⋾∃⊬4AB)⨵⪆((∃⊬193D/∃⊬8FF)⊪))=∃⊬-AB","reverse_text":"∃⊬-AB=(↯⪼(∃⊬858∀⇚≩∃⊬1902⋝⋈⪟(∃⊬893⊭↱∃⊬6D2)))⨰((∃⊬1724⊉≛↸∃⊬1619)⫥∨⫟(⋗⩬⋾∃⊬4AB)⨵⪆((∃⊬193D/∃⊬8FF)⊪))","cot":[{"info":"∃⊬858∀⇚≩∃⊬1902=NaN","layer":3},{"info":"∃⊬893⊭↱∃⊬6D2=∃⊬-37D","layer":3},{"info":"NaN⋝⋈⪟∃⊬-37D=NaN","layer":2},{"info":"↯⪼NaN=∃⊬-15","layer":1},{"info":"∃⊬1724⊉≛↸∃⊬1619=∃⊬2E48","layer":3},{"info":"⋗⩬⋾∃⊬4AB=∃⊬-E01","layer":3},{"info":"∃⊬2E48⫥∨⫟∃⊬-E01=NaN","layer":2},{"info":"∃⊬193D/∃⊬8FF=∃⊬2","layer":3},{"info":"∃⊬2⊪=∃⊬0","layer":2},{"info":"NaN⨵⪆∃⊬0=∃⊬A0","layer":1},{"info":"∃⊬-15⨰∃⊬A0=∃⊬-AB","layer":0}]}
{"id":705,"expression_no_base_symbol":"((($1735$⫸⊐$3106$)↺(↔$3444$))⩠)≋⫹","expression":"(((∃⊬6C7⫸⊐∃⊬C22)↺(↔∃⊬D74))⩠)≋⫹","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":53,"operation_count":5,"complexity_ratio":10.6,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1735,"base":16},"right_expr":{"type":"numeric_atoms","value":3106,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3444,"base":16}}}}},"used_operators":["N41Kp7NANJ","sJAwomhLZr","7j4O788W3g","mqXw5SEYmG","ruOEQAzv1W"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp"],"result":"∃⊬-64BA","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1735","layer":4},{"info":"number node, value=3106","layer":4},{"info":"compute binary expreesion, left_input=1735, right_input=3106, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12299","layer":3},{"info":"number node, value=3444","layer":4},{"info":"compute unary expreesion, input=3444, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3171","layer":3},{"info":"compute binary expreesion, left_input=12299, right_input=-3171, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3171","layer":2},{"info":"compute unary expreesion, input=-3171, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=12893","layer":1},{"info":"compute unary expreesion, input=12893, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-25786","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬6C7⫸⊐∃⊬C22)↺(↔∃⊬D74))⩠)≋⫹=∃⊬-64BA","reverse_text":"∃⊬-64BA=(((∃⊬6C7⫸⊐∃⊬C22)↺(↔∃⊬D74))⩠)≋⫹","cot":[{"info":"∃⊬6C7⫸⊐∃⊬C22=∃⊬300B","layer":3},{"info":"↔∃⊬D74=∃⊬-C63","layer":3},{"info":"∃⊬300B↺∃⊬-C63=∃⊬-C63","layer":2},{"info":"∃⊬-C63⩠=∃⊬325D","layer":1},{"info":"∃⊬325D≋⫹=∃⊬-64BA","layer":0}]}
{"id":706,"expression_no_base_symbol":"($1508$⪒$4302$)⪛($8094$⩨$2265$)↬(↯⪼$2344$)⊴($9065$⋳⪒$2911$)⇼⇔∾(↣≠⋷(($2981$⫥∨⫟$4745$)⪘⫢($8151$⨽$3032$)))","expression":"(∃⊬5E4⪒∃⊬10CE)⪛(∃⊬1F9E⩨∃⊬8D9)↬(↯⪼∃⊬928)⊴(∃⊬2369⋳⪒∃⊬B5F)⇼⇔∾(↣≠⋷((∃⊬BA5⫥∨⫟∃⊬1289)⪘⫢(∃⊬1FD7⨽∃⊬BD8)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":23336,"operation_count":12,"complexity_ratio":1944.6666666666667,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1508,"base":16},"right_expr":{"type":"numeric_atoms","value":4302,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":8094,"base":16},"right_expr":{"type":"numeric_atoms","value":2265,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2344,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":9065,"base":16},"right_expr":{"type":"numeric_atoms","value":2911,"base":16}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2981,"base":16},"right_expr":{"type":"numeric_atoms","value":4745,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":8151,"base":16},"right_expr":{"type":"numeric_atoms","value":3032,"base":16}}}}},"used_operators":["tifHPKVTfV","B5M0gjZbta","uFcxV4UQCh","f6k1SAg4EE","2DlMacCsIx","Nsiff2A1zJ","8jW3W4yZS5","12rbrZMWeM","Asc51vEJeQ","oacrs7FA3X","KYD54nUTWz","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","14qkJME0vr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1508","layer":4},{"info":"number node, value=4302","layer":4},{"info":"compute binary expreesion, left_input=1508, right_input=4302, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5810","layer":3},{"info":"number node, value=8094","layer":4},{"info":"number node, value=2265","layer":4},{"info":"compute binary expreesion, left_input=8094, right_input=2265, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-5810, right_input=0, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"number node, value=2344","layer":4},{"info":"compute unary expreesion, input=2344, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=9065","layer":4},{"info":"number node, value=2911","layer":4},{"info":"compute binary expreesion, left_input=9065, right_input=2911, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=14932","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=14932, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=2981","layer":4},{"info":"number node, value=4745","layer":4},{"info":"compute binary expreesion, left_input=2981, right_input=4745, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=8151","layer":4},{"info":"number node, value=3032","layer":4},{"info":"compute binary expreesion, left_input=8151, right_input=3032, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-199324185","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-199324185, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬5E4⪒∃⊬10CE)⪛(∃⊬1F9E⩨∃⊬8D9)↬(↯⪼∃⊬928)⊴(∃⊬2369⋳⪒∃⊬B5F)⇼⇔∾(↣≠⋷((∃⊬BA5⫥∨⫟∃⊬1289)⪘⫢(∃⊬1FD7⨽∃⊬BD8)))=NaN","reverse_text":"NaN=(∃⊬5E4⪒∃⊬10CE)⪛(∃⊬1F9E⩨∃⊬8D9)↬(↯⪼∃⊬928)⊴(∃⊬2369⋳⪒∃⊬B5F)⇼⇔∾(↣≠⋷((∃⊬BA5⫥∨⫟∃⊬1289)⪘⫢(∃⊬1FD7⨽∃⊬BD8)))","cot":[{"info":"∃⊬5E4⪒∃⊬10CE=∃⊬-16B2","layer":3},{"info":"∃⊬1F9E⩨∃⊬8D9=∃⊬0","layer":3},{"info":"∃⊬-16B2⪛∃⊬0=NaN","layer":2},{"info":"↯⪼∃⊬928=∃⊬-15","layer":3},{"info":"∃⊬2369⋳⪒∃⊬B5F=∃⊬3A54","layer":3},{"info":"∃⊬-15⊴∃⊬3A54=NaN","layer":2},{"info":"NaN↬NaN=NaN","layer":1},{"info":"∃⊬BA5⫥∨⫟∃⊬1289=NaN","layer":3},{"info":"∃⊬1FD7⨽∃⊬BD8=∃⊬-BE17219","layer":3},{"info":"NaN⪘⫢∃⊬-BE17219=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"NaN⇼⇔∾NaN=NaN","layer":0}]}
{"id":707,"expression_no_base_symbol":"(($1342$/$2256$)⪒$1571$⪮%⊝$5128$)⋝⋈⪟(($1139$⪨≂$2734$)⋝⋈⪟($3021$⩷∴$6003$))⊘","expression":"((∃⊬53E/∃⊬8D0)⪒∃⊬623⪮%⊝∃⊬1408)⋝⋈⪟((∃⊬473⪨≂∃⊬AAE)⋝⋈⪟(∃⊬BCD⩷∴∃⊬1773))⊘","highest_n_order":2,"priority_hierarchical_complexity":5,"normalized_expansion_degree":51,"operation_count":8,"complexity_ratio":6.375,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1342,"base":16},"right_expr":{"type":"numeric_atoms","value":2256,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1571,"base":16},"right_expr":{"type":"numeric_atoms","value":5128,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1139,"base":16},"right_expr":{"type":"numeric_atoms","value":2734,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3021,"base":16},"right_expr":{"type":"numeric_atoms","value":6003,"base":16}}}}},"used_operators":["gu96TGCTMs","2DDjHMKMc0","f6k1SAg4EE","XhwjNDsVaA","IWmyXbctLI","sdazOOVcIp","9FxExcQeMw"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1342","layer":4},{"info":"number node, value=2256","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2256, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1571","layer":4},{"info":"number node, value=5128","layer":4},{"info":"compute binary expreesion, left_input=1571, right_input=5128, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3458","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=3458, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3458","layer":2},{"info":"number node, value=1139","layer":4},{"info":"number node, value=2734","layer":4},{"info":"compute binary expreesion, left_input=1139, right_input=2734, 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=-3088","layer":3},{"info":"number node, value=3021","layer":4},{"info":"number node, value=6003","layer":4},{"info":"compute binary expreesion, left_input=3021, right_input=6003, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5996","layer":3},{"info":"compute binary expreesion, left_input=-3088, right_input=-5996, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3088","layer":2},{"info":"compute binary expreesion, left_input=-3458, right_input=-3088, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-3458","layer":1},{"info":"compute unary expreesion, input=-3458, 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":"((∃⊬53E/∃⊬8D0)⪒∃⊬623⪮%⊝∃⊬1408)⋝⋈⪟((∃⊬473⪨≂∃⊬AAE)⋝⋈⪟(∃⊬BCD⩷∴∃⊬1773))⊘=∃⊬-1","reverse_text":"∃⊬-1=((∃⊬53E/∃⊬8D0)⪒∃⊬623⪮%⊝∃⊬1408)⋝⋈⪟((∃⊬473⪨≂∃⊬AAE)⋝⋈⪟(∃⊬BCD⩷∴∃⊬1773))⊘","cot":[{"info":"∃⊬53E/∃⊬8D0=∃⊬0","layer":3},{"info":"∃⊬623⪮%⊝∃⊬1408=∃⊬D82","layer":3},{"info":"∃⊬0⪒∃⊬D82=∃⊬-D82","layer":2},{"info":"∃⊬473⪨≂∃⊬AAE=∃⊬-C10","layer":3},{"info":"∃⊬BCD⩷∴∃⊬1773=∃⊬-176C","layer":3},{"info":"∃⊬-C10⋝⋈⪟∃⊬-176C=∃⊬-C10","layer":2},{"info":"∃⊬-D82⋝⋈⪟∃⊬-C10=∃⊬-D82","layer":1},{"info":"∃⊬-D82⊘=∃⊬-1","layer":0}]}
{"id":708,"expression_no_base_symbol":"⪲⇎($1269$∑⇟⊟$2439$↺($1585$⪄$3589$)⊉≛↸($5828$≧⫂∧$2429$⊦⊿))","expression":"⪲⇎(∃⊬4F5∑⇟⊟∃⊬987↺(∃⊬631⪄∃⊬E05)⊉≛↸(∃⊬16C4≧⫂∧∃⊬97D⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":111,"operation_count":7,"complexity_ratio":15.857142857142858,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1269,"base":16},"right_expr":{"type":"numeric_atoms","value":2439,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1585,"base":16},"right_expr":{"type":"numeric_atoms","value":3589,"base":16}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":5828,"base":16},"right_expr":{"type":"numeric_atoms","value":2429,"base":16}}}}},"used_operators":["XPYlsWDdGa","DZ8iAZOCBD","7j4O788W3g","U7g4x0WXJJ","SUmda5xLS4","14qkJME0vr","Ph9nP6C5qx"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬2E76","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=2439","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=2439, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=3589","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=3589, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-245025","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-245025, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-245025","layer":2},{"info":"number node, value=5828","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=2429, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1956","layer":3},{"info":"compute unary expreesion, input=1956, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5947","layer":2},{"info":"compute binary expreesion, left_input=-245025, right_input=-5947, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5947","layer":1},{"info":"compute unary expreesion, input=5947, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11894","layer":0}],"base":16,"result_base":16,"text":"⪲⇎(∃⊬4F5∑⇟⊟∃⊬987↺(∃⊬631⪄∃⊬E05)⊉≛↸(∃⊬16C4≧⫂∧∃⊬97D⊦⊿))=∃⊬2E76","reverse_text":"∃⊬2E76=⪲⇎(∃⊬4F5∑⇟⊟∃⊬987↺(∃⊬631⪄∃⊬E05)⊉≛↸(∃⊬16C4≧⫂∧∃⊬97D⊦⊿))","cot":[{"info":"∃⊬4F5∑⇟⊟∃⊬987=NaN","layer":3},{"info":"∃⊬631⪄∃⊬E05=∃⊬-3BD21","layer":3},{"info":"NaN↺∃⊬-3BD21=∃⊬-3BD21","layer":2},{"info":"∃⊬16C4≧⫂∧∃⊬97D=∃⊬7A4","layer":3},{"info":"∃⊬7A4⊦⊿=∃⊬-173B","layer":2},{"info":"∃⊬-3BD21⊉≛↸∃⊬-173B=∃⊬173B","layer":1},{"info":"⪲⇎∃⊬173B=∃⊬2E76","layer":0}]}
{"id":709,"expression_no_base_symbol":"(($3881$⫥∨⫟$1474$)⪘⫢($6390$⨽$7571$))⪛(⫓⪴($7066$≋⫹))≋⫹","expression":"((∃⊬F29⫥∨⫟∃⊬5C2)⪘⫢(∃⊬18F6⨽∃⊬1D93))⪛(⫓⪴(∃⊬1B9A≋⫹))≋⫹","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":20704,"operation_count":7,"complexity_ratio":2957.714285714286,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3881,"base":16},"right_expr":{"type":"numeric_atoms","value":1474,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6390,"base":16},"right_expr":{"type":"numeric_atoms","value":7571,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":7066,"base":16}}}}},"used_operators":["N41Kp7NANJ","uFcxV4UQCh","oacrs7FA3X","KYD54nUTWz","8HhzD0ZcuI","eLxqMNBOBk"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3881","layer":4},{"info":"number node, value=1474","layer":4},{"info":"compute binary expreesion, left_input=3881, right_input=1474, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=6390","layer":4},{"info":"number node, value=7571","layer":4},{"info":"compute binary expreesion, left_input=6390, right_input=7571, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-122517699","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-122517699, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=7066","layer":4},{"info":"compute unary expreesion, input=7066, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-14132","layer":3},{"info":"compute unary expreesion, input=-14132, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=199713424","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=199713424, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬F29⫥∨⫟∃⊬5C2)⪘⫢(∃⊬18F6⨽∃⊬1D93))⪛(⫓⪴(∃⊬1B9A≋⫹))≋⫹=NaN","reverse_text":"NaN=((∃⊬F29⫥∨⫟∃⊬5C2)⪘⫢(∃⊬18F6⨽∃⊬1D93))⪛(⫓⪴(∃⊬1B9A≋⫹))≋⫹","cot":[{"info":"∃⊬F29⫥∨⫟∃⊬5C2=NaN","layer":3},{"info":"∃⊬18F6⨽∃⊬1D93=∃⊬-74D78C3","layer":3},{"info":"NaN⪘⫢∃⊬-74D78C3=NaN","layer":2},{"info":"∃⊬1B9A≋⫹=∃⊬-3734","layer":3},{"info":"⫓⪴∃⊬-3734=∃⊬BE76290","layer":2},{"info":"NaN⪛∃⊬BE76290=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":710,"expression_no_base_symbol":"($1129$⩚⊴⇥$5453$⨎$3780$≧⫂∧$1578$⪐)⋷(↯⪼(⨵≀≌($6585$⇼⇔∾$5014$)))","expression":"(∃⊬469⩚⊴⇥∃⊬154D⨎∃⊬EC4≧⫂∧∃⊬62A⪐)⋷(↯⪼(⨵≀≌(∃⊬19B9⇼⇔∾∃⊬1396)))","highest_n_order":2,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1619,"operation_count":8,"complexity_ratio":202.375,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1129,"base":16},"right_expr":{"type":"numeric_atoms","value":5453,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3780,"base":16},"right_expr":{"type":"numeric_atoms","value":1578,"base":16}}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6585,"base":16},"right_expr":{"type":"numeric_atoms","value":5014,"base":16}}}}},"used_operators":["23Mk6UjR3U","eH2TOUuTDT","rJVOvQCfKK","NTOWxs364D","Ph9nP6C5qx","8jW3W4yZS5","srAu1WTS94","tifHPKVTfV"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-8CC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1129","layer":4},{"info":"number node, value=5453","layer":4},{"info":"compute binary expreesion, left_input=1129, right_input=5453, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6703","layer":3},{"info":"number node, value=3780","layer":4},{"info":"number node, value=1578","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=1578, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1105","layer":3},{"info":"compute binary expreesion, left_input=-6703, right_input=1105, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1105","layer":2},{"info":"compute unary expreesion, input=1105, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2210","layer":1},{"info":"number node, value=6585","layer":4},{"info":"number node, value=5014","layer":4},{"info":"compute binary expreesion, left_input=6585, right_input=5014, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-1571","layer":3},{"info":"compute unary expreesion, input=-1571, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=2468041","layer":2},{"info":"compute unary expreesion, input=2468041, 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=2210, right_input=-21, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-2252","layer":0}],"base":16,"result_base":16,"text":"(∃⊬469⩚⊴⇥∃⊬154D⨎∃⊬EC4≧⫂∧∃⊬62A⪐)⋷(↯⪼(⨵≀≌(∃⊬19B9⇼⇔∾∃⊬1396)))=∃⊬-8CC","reverse_text":"∃⊬-8CC=(∃⊬469⩚⊴⇥∃⊬154D⨎∃⊬EC4≧⫂∧∃⊬62A⪐)⋷(↯⪼(⨵≀≌(∃⊬19B9⇼⇔∾∃⊬1396)))","cot":[{"info":"∃⊬469⩚⊴⇥∃⊬154D=∃⊬-1A2F","layer":3},{"info":"∃⊬EC4≧⫂∧∃⊬62A=∃⊬451","layer":3},{"info":"∃⊬-1A2F⨎∃⊬451=∃⊬451","layer":2},{"info":"∃⊬451⪐=∃⊬8A2","layer":1},{"info":"∃⊬19B9⇼⇔∾∃⊬1396=∃⊬-623","layer":3},{"info":"⨵≀≌∃⊬-623=∃⊬25A8C9","layer":2},{"info":"↯⪼∃⊬25A8C9=∃⊬-15","layer":1},{"info":"∃⊬8A2⋷∃⊬-15=∃⊬-8CC","layer":0}]}
{"id":711,"expression_no_base_symbol":"↥(($4850$↪⪝)/$5489$⨓$3159$)⨽($2509$⊉≛↸$1151$-($5527$≫≃))","expression":"↥((∃⊬12F2↪⪝)/∃⊬1571⨓∃⊬C57)⨽(∃⊬9CD⊉≛↸∃⊬47F-(∃⊬1597≫≃))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":191572,"operation_count":8,"complexity_ratio":23946.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4850,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":5489,"base":16},"right_expr":{"type":"numeric_atoms","value":3159,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2509,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5527,"base":16}}}}},"used_operators":["A8NUZmVepG","8HhzD0ZcuI","XhwjNDsVaA","l07mrZUIn9","3ViojmjbAp","rysDP5nf3Z","DZ8iAZOCBD","X99M06cbEe"],"dependent_operators":["k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","9HNa5Wba9A","2DDjHMKMc0","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4850","layer":4},{"info":"compute unary expreesion, input=4850, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=296732700","layer":3},{"info":"number node, value=5489","layer":4},{"info":"number node, value=3159","layer":4},{"info":"compute binary expreesion, left_input=5489, right_input=3159, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3162","layer":3},{"info":"compute binary expreesion, left_input=296732700, right_input=-3162, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-93844","layer":2},{"info":"number node, value=2509","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=1151, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5018","layer":3},{"info":"number node, value=5527","layer":4},{"info":"compute unary expreesion, input=5527, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=12455","layer":3},{"info":"compute binary expreesion, left_input=5018, right_input=12455, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-7437","layer":2},{"info":"compute binary expreesion, left_input=-93844, right_input=-7437, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥((∃⊬12F2↪⪝)/∃⊬1571⨓∃⊬C57)⨽(∃⊬9CD⊉≛↸∃⊬47F-(∃⊬1597≫≃))=NaN","reverse_text":"NaN=↥((∃⊬12F2↪⪝)/∃⊬1571⨓∃⊬C57)⨽(∃⊬9CD⊉≛↸∃⊬47F-(∃⊬1597≫≃))","cot":[{"info":"∃⊬12F2↪⪝=∃⊬11AFC81C","layer":3},{"info":"∃⊬1571⨓∃⊬C57=∃⊬-C5A","layer":3},{"info":"∃⊬11AFC81C/∃⊬-C5A=∃⊬-16E94","layer":2},{"info":"∃⊬9CD⊉≛↸∃⊬47F=∃⊬139A","layer":3},{"info":"∃⊬1597≫≃=∃⊬30A7","layer":3},{"info":"∃⊬139A-∃⊬30A7=∃⊬-1D0D","layer":2},{"info":"∃⊬-16E94⨽∃⊬-1D0D=-Inf","layer":1},{"info":"↥-Inf=NaN","layer":0}]}
{"id":712,"expression_no_base_symbol":"($2840$⇷$1994$⨸⪁$1121$↙$4505$⨵⪆(⪲⇎($1848$+$5726$)))⨐⩸⫘((⪝⪂⫅$3660$)⪛($3351$⊉≛↸$2901$)≦≮≮)","expression":"(∃⊬B18⇷∃⊬7CA⨸⪁∃⊬461↙∃⊬1199⨵⪆(⪲⇎(∃⊬738+∃⊬165E)))⨐⩸⫘((⪝⪂⫅∃⊬E4C)⪛(∃⊬D17⊉≛↸∃⊬B55)≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":44520,"operation_count":11,"complexity_ratio":4047.2727272727275,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2840,"base":16},"right_expr":{"type":"numeric_atoms","value":1994,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1121,"base":16},"right_expr":{"type":"numeric_atoms","value":4505,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1848,"base":16},"right_expr":{"type":"numeric_atoms","value":5726,"base":16}}}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3660,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3351,"base":16},"right_expr":{"type":"numeric_atoms","value":2901,"base":16}}}}},"used_operators":["fu6greOZ01","2DQ55sFlQl","g55IO6H4Gj","mp7IySMOzn","yyfyN0ffXY","XPYlsWDdGa","W4YGzv6Whe","D4vGDi5EA2","uFcxV4UQCh","XTarYq4gQB","DZ8iAZOCBD"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2840","layer":4},{"info":"number node, value=1994","layer":4},{"info":"compute binary expreesion, left_input=2840, right_input=1994, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3988","layer":3},{"info":"number node, value=1121","layer":4},{"info":"number node, value=4505","layer":4},{"info":"compute binary expreesion, left_input=1121, right_input=4505, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13515","layer":3},{"info":"compute binary expreesion, left_input=3988, right_input=-13515, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-19054","layer":2},{"info":"number node, value=1848","layer":4},{"info":"number node, value=5726","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=5726, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7574","layer":3},{"info":"compute unary expreesion, input=7574, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=15148","layer":2},{"info":"compute binary expreesion, left_input=-19054, right_input=15148, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=3660","layer":4},{"info":"compute unary expreesion, input=3660, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-538020","layer":3},{"info":"number node, value=3351","layer":4},{"info":"number node, value=2901","layer":4},{"info":"compute binary expreesion, left_input=3351, right_input=2901, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6702","layer":3},{"info":"compute binary expreesion, left_input=-538020, right_input=6702, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=4842","layer":2},{"info":"compute unary expreesion, input=4842, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-14526","layer":1},{"info":"compute binary expreesion, left_input=160, right_input=-14526, 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":"(∃⊬B18⇷∃⊬7CA⨸⪁∃⊬461↙∃⊬1199⨵⪆(⪲⇎(∃⊬738+∃⊬165E)))⨐⩸⫘((⪝⪂⫅∃⊬E4C)⪛(∃⊬D17⊉≛↸∃⊬B55)≦≮≮)=NaN","reverse_text":"NaN=(∃⊬B18⇷∃⊬7CA⨸⪁∃⊬461↙∃⊬1199⨵⪆(⪲⇎(∃⊬738+∃⊬165E)))⨐⩸⫘((⪝⪂⫅∃⊬E4C)⪛(∃⊬D17⊉≛↸∃⊬B55)≦≮≮)","cot":[{"info":"∃⊬B18⇷∃⊬7CA=∃⊬F94","layer":3},{"info":"∃⊬461↙∃⊬1199=∃⊬-34CB","layer":3},{"info":"∃⊬F94⨸⪁∃⊬-34CB=∃⊬-4A6E","layer":2},{"info":"∃⊬738+∃⊬165E=∃⊬1D96","layer":3},{"info":"⪲⇎∃⊬1D96=∃⊬3B2C","layer":2},{"info":"∃⊬-4A6E⨵⪆∃⊬3B2C=∃⊬A0","layer":1},{"info":"⪝⪂⫅∃⊬E4C=∃⊬-835A4","layer":3},{"info":"∃⊬D17⊉≛↸∃⊬B55=∃⊬1A2E","layer":3},{"info":"∃⊬-835A4⪛∃⊬1A2E=∃⊬12EA","layer":2},{"info":"∃⊬12EA≦≮≮=∃⊬-38BE","layer":1},{"info":"∃⊬A0⨐⩸⫘∃⊬-38BE=NaN","layer":0}]}
{"id":713,"expression_no_base_symbol":"(((⇁⨣⪵$1255$)⪨≂$6988$⋥≓≎$1176$)⇼⇔∾(≦∁$2888$⩚⊴⇥$3917$))⨓(($1676$↬$2021$)⪢($2776$⪛$1010$)⋥≓≎(($1064$≧⫂∧$1442$)∸))","expression":"(((⇁⨣⪵∃⊬4E7)⪨≂∃⊬1B4C⋥≓≎∃⊬498)⇼⇔∾(≦∁∃⊬B48⩚⊴⇥∃⊬F4D))⨓((∃⊬68C↬∃⊬7E5)⪢(∃⊬AD8⪛∃⊬3F2)⋥≓≎((∃⊬428≧⫂∧∃⊬5A2)∸))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":1079,"operation_count":13,"complexity_ratio":83.0,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6988,"base":16},"right_expr":{"type":"numeric_atoms","value":1176,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2888,"base":16},"right_expr":{"type":"numeric_atoms","value":3917,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1676,"base":16},"right_expr":{"type":"numeric_atoms","value":2021,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2776,"base":16},"right_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1064,"base":16},"right_expr":{"type":"numeric_atoms","value":1442,"base":16}}}}},"used_operators":["3ViojmjbAp","tifHPKVTfV","sdazOOVcIp","inkyxCbjAn","Qy55tPpLXF","9ICcGScMcE","NTOWxs364D","dWAJyo7jo9","B5M0gjZbta","uFcxV4UQCh","o20kRiQErp","Ph9nP6C5qx"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","k8jYdgA6NY","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-46","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1255","layer":4},{"info":"compute unary expreesion, input=1255, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=6988","layer":4},{"info":"number node, value=1176","layer":4},{"info":"compute binary expreesion, left_input=6988, right_input=1176, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-4603","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4603, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=2888","layer":4},{"info":"number node, value=3917","layer":4},{"info":"compute binary expreesion, left_input=2888, right_input=3917, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6926","layer":3},{"info":"compute unary expreesion, input=-6926, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1676","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=1676, right_input=2021, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2776","layer":4},{"info":"number node, value=1010","layer":4},{"info":"compute binary expreesion, left_input=2776, right_input=1010, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=756","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=756, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1064","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=1442, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=969","layer":3},{"info":"compute unary expreesion, input=969, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-70","layer":0}],"base":16,"result_base":16,"text":"(((⇁⨣⪵∃⊬4E7)⪨≂∃⊬1B4C⋥≓≎∃⊬498)⇼⇔∾(≦∁∃⊬B48⩚⊴⇥∃⊬F4D))⨓((∃⊬68C↬∃⊬7E5)⪢(∃⊬AD8⪛∃⊬3F2)⋥≓≎((∃⊬428≧⫂∧∃⊬5A2)∸))=∃⊬-46","reverse_text":"∃⊬-46=(((⇁⨣⪵∃⊬4E7)⪨≂∃⊬1B4C⋥≓≎∃⊬498)⇼⇔∾(≦∁∃⊬B48⩚⊴⇥∃⊬F4D))⨓((∃⊬68C↬∃⊬7E5)⪢(∃⊬AD8⪛∃⊬3F2)⋥≓≎((∃⊬428≧⫂∧∃⊬5A2)∸))","cot":[{"info":"⇁⨣⪵∃⊬4E7=NaN","layer":3},{"info":"∃⊬1B4C⋥≓≎∃⊬498=∃⊬-11FB","layer":3},{"info":"NaN⪨≂∃⊬-11FB=NaN","layer":2},{"info":"∃⊬B48⩚⊴⇥∃⊬F4D=∃⊬-1B0E","layer":3},{"info":"≦∁∃⊬-1B0E=∃⊬43","layer":2},{"info":"NaN⇼⇔∾∃⊬43=NaN","layer":1},{"info":"∃⊬68C↬∃⊬7E5=NaN","layer":3},{"info":"∃⊬AD8⪛∃⊬3F2=∃⊬2F4","layer":3},{"info":"NaN⪢∃⊬2F4=NaN","layer":2},{"info":"∃⊬428≧⫂∧∃⊬5A2=∃⊬3C9","layer":3},{"info":"∃⊬3C9∸=∃⊬B1","layer":2},{"info":"NaN⋥≓≎∃⊬B1=∃⊬43","layer":1},{"info":"NaN⨓∃⊬43=∃⊬-46","layer":0}]}
{"id":714,"expression_no_base_symbol":"≉(($3179$∧)⫡⨏$1218$*$1877$⫡⨏(($4575$⨸⪁$4307$)⪐))","expression":"≉((∃⊬C6B∧)⫡⨏∃⊬4C2*∃⊬755⫡⨏((∃⊬11DF⨸⪁∃⊬10D3)⪐))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":1244,"operation_count":7,"complexity_ratio":177.71428571428572,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3179,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1218,"base":16},"right_expr":{"type":"numeric_atoms","value":1877,"base":16}}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":4575,"base":16},"right_expr":{"type":"numeric_atoms","value":4307,"base":16}}}}},"used_operators":["e1ybzncUwg","QMFrweE19q","z63VuFQld9","9HNa5Wba9A","eH2TOUuTDT","g55IO6H4Gj"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3179","layer":4},{"info":"compute unary expreesion, input=3179, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=1218","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=1218, right_input=1877, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2286186","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2286186, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=4575","layer":4},{"info":"number node, value=4307","layer":4},{"info":"compute binary expreesion, left_input=4575, right_input=4307, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17764","layer":3},{"info":"compute unary expreesion, input=17764, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=35528","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=35528, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉((∃⊬C6B∧)⫡⨏∃⊬4C2*∃⊬755⫡⨏((∃⊬11DF⨸⪁∃⊬10D3)⪐))=NaN","reverse_text":"NaN=≉((∃⊬C6B∧)⫡⨏∃⊬4C2*∃⊬755⫡⨏((∃⊬11DF⨸⪁∃⊬10D3)⪐))","cot":[{"info":"∃⊬C6B∧=NaN","layer":3},{"info":"∃⊬4C2*∃⊬755=∃⊬22E26A","layer":3},{"info":"NaN⫡⨏∃⊬22E26A=NaN","layer":2},{"info":"∃⊬11DF⨸⪁∃⊬10D3=∃⊬4564","layer":3},{"info":"∃⊬4564⪐=∃⊬8AC8","layer":2},{"info":"NaN⫡⨏∃⊬8AC8=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":715,"expression_no_base_symbol":"(($1048$⫸⊐$1609$⪨≂$4093$⋓$5595$)≫≃)≹⇙⪍(($3096$*$2429$)⨪↰⇹($3623$⨰$6796$)+⇶⊼($1033$⋝⋈⪟$2286$⨽(⩦⩻⨪$1180$)))","expression":"((∃⊬418⫸⊐∃⊬649⪨≂∃⊬FFD⋓∃⊬15DB)≫≃)≹⇙⪍((∃⊬C18*∃⊬97D)⨪↰⇹(∃⊬E27⨰∃⊬1A8C)+⇶⊼(∃⊬409⋝⋈⪟∃⊬8EE⨽(⩦⩻⨪∃⊬49C)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3535,"operation_count":12,"complexity_ratio":294.5833333333333,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":1609,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4093,"base":16},"right_expr":{"type":"numeric_atoms","value":5595,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3096,"base":16},"right_expr":{"type":"numeric_atoms","value":2429,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3623,"base":16},"right_expr":{"type":"numeric_atoms","value":6796,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1033,"base":16},"right_expr":{"type":"numeric_atoms","value":2286,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":1180,"base":16}}}}},"used_operators":["AHs5Up7iyr","X99M06cbEe","sdazOOVcIp","mqXw5SEYmG","T2fj7uvVaJ","TpPTUOHfaN","tmPS8pqC7x","9HNa5Wba9A","eewbuw0ToL","8HhzD0ZcuI","2DDjHMKMc0","2td37pGCOC"],"dependent_operators":["dWAJyo7jo9","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1048","layer":4},{"info":"number node, value=1609","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=1609, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6311","layer":3},{"info":"number node, value=4093","layer":4},{"info":"number node, value=5595","layer":4},{"info":"compute binary expreesion, left_input=4093, right_input=5595, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=6311, 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=12724","layer":2},{"info":"compute unary expreesion, input=12724, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=26849","layer":1},{"info":"number node, value=3096","layer":4},{"info":"number node, value=2429","layer":4},{"info":"compute binary expreesion, left_input=3096, right_input=2429, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7520184","layer":3},{"info":"number node, value=3623","layer":4},{"info":"number node, value=6796","layer":4},{"info":"compute binary expreesion, left_input=3623, right_input=6796, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3163","layer":3},{"info":"compute binary expreesion, left_input=7520184, right_input=-3163, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1033","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=1033, right_input=2286, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1033","layer":3},{"info":"number node, value=1180","layer":4},{"info":"compute unary expreesion, input=1180, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1180","layer":3},{"info":"compute binary expreesion, left_input=1033, right_input=1180, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3203493","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3203493, 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=26849, 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":"((∃⊬418⫸⊐∃⊬649⪨≂∃⊬FFD⋓∃⊬15DB)≫≃)≹⇙⪍((∃⊬C18*∃⊬97D)⨪↰⇹(∃⊬E27⨰∃⊬1A8C)+⇶⊼(∃⊬409⋝⋈⪟∃⊬8EE⨽(⩦⩻⨪∃⊬49C)))=NaN","reverse_text":"NaN=((∃⊬418⫸⊐∃⊬649⪨≂∃⊬FFD⋓∃⊬15DB)≫≃)≹⇙⪍((∃⊬C18*∃⊬97D)⨪↰⇹(∃⊬E27⨰∃⊬1A8C)+⇶⊼(∃⊬409⋝⋈⪟∃⊬8EE⨽(⩦⩻⨪∃⊬49C)))","cot":[{"info":"∃⊬418⫸⊐∃⊬649=∃⊬18A7","layer":3},{"info":"∃⊬FFD⋓∃⊬15DB=∃⊬0","layer":3},{"info":"∃⊬18A7⪨≂∃⊬0=∃⊬31B4","layer":2},{"info":"∃⊬31B4≫≃=∃⊬68E1","layer":1},{"info":"∃⊬C18*∃⊬97D=∃⊬72BFB8","layer":3},{"info":"∃⊬E27⨰∃⊬1A8C=∃⊬-C5B","layer":3},{"info":"∃⊬72BFB8⨪↰⇹∃⊬-C5B=NaN","layer":2},{"info":"∃⊬409⋝⋈⪟∃⊬8EE=∃⊬409","layer":3},{"info":"⩦⩻⨪∃⊬49C=∃⊬49C","layer":3},{"info":"∃⊬409⨽∃⊬49C=∃⊬-30E1A5","layer":2},{"info":"NaN+⇶⊼∃⊬-30E1A5=NaN","layer":1},{"info":"∃⊬68E1≹⇙⪍NaN=NaN","layer":0}]}
{"id":716,"expression_no_base_symbol":"($6946$⨓$5964$⨰($2118$≭$2879$))⊴(($2080$%$1692$)⩨$3028$⪛$1131$)≣⋋","expression":"(∃⊬1B22⨓∃⊬174C⨰(∃⊬846≭∃⊬B3F))⊴((∃⊬820%∃⊬69C)⩨∃⊬BD4⪛∃⊬46B)≣⋋","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6000,"operation_count":8,"complexity_ratio":750.0,"tree":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6946,"base":16},"right_expr":{"type":"numeric_atoms","value":5964,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2118,"base":16},"right_expr":{"type":"numeric_atoms","value":2879,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2080,"base":16},"right_expr":{"type":"numeric_atoms","value":1692,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3028,"base":16},"right_expr":{"type":"numeric_atoms","value":1131,"base":16}}}}},"used_operators":["Tcnh7f0tEr","Nsiff2A1zJ","eewbuw0ToL","3ViojmjbAp","rxpJgHHUmx","2DlMacCsIx","k8jYdgA6NY","uFcxV4UQCh"],"dependent_operators":["dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6946","layer":4},{"info":"number node, value=5964","layer":4},{"info":"compute binary expreesion, left_input=6946, right_input=5964, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5967","layer":3},{"info":"number node, value=2118","layer":4},{"info":"number node, value=2879","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=2879, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5967, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2080","layer":4},{"info":"number node, value=1692","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=1692, op_id = k8jYdgA6NY binary_op_definition= 'None', output=388","layer":3},{"info":"number node, value=3028","layer":4},{"info":"number node, value=1131","layer":4},{"info":"compute binary expreesion, left_input=3028, right_input=1131, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=766","layer":3},{"info":"compute binary expreesion, left_input=388, right_input=766, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1B22⨓∃⊬174C⨰(∃⊬846≭∃⊬B3F))⊴((∃⊬820%∃⊬69C)⩨∃⊬BD4⪛∃⊬46B)≣⋋=NaN","reverse_text":"NaN=(∃⊬1B22⨓∃⊬174C⨰(∃⊬846≭∃⊬B3F))⊴((∃⊬820%∃⊬69C)⩨∃⊬BD4⪛∃⊬46B)≣⋋","cot":[{"info":"∃⊬1B22⨓∃⊬174C=∃⊬-174F","layer":3},{"info":"∃⊬846≭∃⊬B3F=NaN","layer":3},{"info":"∃⊬-174F⨰NaN=NaN","layer":2},{"info":"∃⊬820%∃⊬69C=∃⊬184","layer":3},{"info":"∃⊬BD4⪛∃⊬46B=∃⊬2FE","layer":3},{"info":"∃⊬184⩨∃⊬2FE=∃⊬-3","layer":2},{"info":"NaN⊴∃⊬-3=NaN","layer":1},{"info":"NaN≣⋋=NaN","layer":0}]}
{"id":717,"expression_no_base_symbol":"(∥⊫($1721$⨎$5520$∲⫓$7670$⊉≛↸$7371$))⪘⫢(⪲⇎((↽≂$2562$)+(↩$4303$)))","expression":"(∥⊫(∃⊬6B9⨎∃⊬1590∲⫓∃⊬1DF6⊉≛↸∃⊬1CCB))⪘⫢(⪲⇎((↽≂∃⊬A02)+(↩∃⊬10CF)))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":9,"complexity_ratio":4.444444444444445,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1721,"base":16},"right_expr":{"type":"numeric_atoms","value":5520,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7670,"base":16},"right_expr":{"type":"numeric_atoms","value":7371,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2562,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4303,"base":16}}}}},"used_operators":["oacrs7FA3X","P8v4zCKN1o","i8ToyICDmI","rJVOvQCfKK","DZ8iAZOCBD","XPYlsWDdGa","W4YGzv6Whe","u6S6b8DprG","jLgFTUHLKL"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1721","layer":4},{"info":"number node, value=5520","layer":4},{"info":"compute binary expreesion, left_input=1721, right_input=5520, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5520","layer":3},{"info":"number node, value=7670","layer":4},{"info":"number node, value=7371","layer":4},{"info":"compute binary expreesion, left_input=7670, right_input=7371, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=15340","layer":3},{"info":"compute binary expreesion, left_input=5520, right_input=15340, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=868","layer":1},{"info":"number node, value=2562","layer":4},{"info":"compute unary expreesion, input=2562, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5124","layer":3},{"info":"number node, value=4303","layer":4},{"info":"compute unary expreesion, input=4303, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31644","layer":3},{"info":"compute binary expreesion, left_input=-5124, right_input=-31644, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-36768","layer":2},{"info":"compute unary expreesion, input=-36768, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-73536","layer":1},{"info":"compute binary expreesion, left_input=868, right_input=-73536, 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":"(∥⊫(∃⊬6B9⨎∃⊬1590∲⫓∃⊬1DF6⊉≛↸∃⊬1CCB))⪘⫢(⪲⇎((↽≂∃⊬A02)+(↩∃⊬10CF)))=∃⊬-1","reverse_text":"∃⊬-1=(∥⊫(∃⊬6B9⨎∃⊬1590∲⫓∃⊬1DF6⊉≛↸∃⊬1CCB))⪘⫢(⪲⇎((↽≂∃⊬A02)+(↩∃⊬10CF)))","cot":[{"info":"∃⊬6B9⨎∃⊬1590=∃⊬1590","layer":3},{"info":"∃⊬1DF6⊉≛↸∃⊬1CCB=∃⊬3BEC","layer":3},{"info":"∃⊬1590∲⫓∃⊬3BEC=∃⊬0","layer":2},{"info":"∥⊫∃⊬0=∃⊬364","layer":1},{"info":"↽≂∃⊬A02=∃⊬-1404","layer":3},{"info":"↩∃⊬10CF=∃⊬-7B9C","layer":3},{"info":"∃⊬-1404+∃⊬-7B9C=∃⊬-8FA0","layer":2},{"info":"⪲⇎∃⊬-8FA0=∃⊬-11F40","layer":1},{"info":"∃⊬364⪘⫢∃⊬-11F40=∃⊬-1","layer":0}]}
{"id":718,"expression_no_base_symbol":"((($2748$⫌⩹⨱)⨐⩸⫘($4337$⊭∹↮))⇋≉)⩨((⫛⫱⨽$2718$)↙(≉$1335$)⊠≄⫣)","expression":"(((∃⊬ABC⫌⩹⨱)⨐⩸⫘(∃⊬10F1⊭∹↮))⇋≉)⩨((⫛⫱⨽∃⊬A9E)↙(≉∃⊬537)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1449,"operation_count":9,"complexity_ratio":161.0,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2748,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4337,"base":16}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2718,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1335,"base":16}}}}},"used_operators":["2DlMacCsIx","XIabStNQrY","fu6greOZ01","EBcxylXtPf","xNBdhnnwKq","DIvbN7qnHd","yyfyN0ffXY","DlLNRPXxWL","e1ybzncUwg"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2748","layer":4},{"info":"compute unary expreesion, input=2748, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=6897","layer":3},{"info":"number node, value=4337","layer":4},{"info":"compute unary expreesion, input=4337, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8674","layer":3},{"info":"compute binary expreesion, left_input=6897, right_input=8674, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=nan","layer":1},{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1335","layer":4},{"info":"compute unary expreesion, input=1335, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1866","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1866, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬ABC⫌⩹⨱)⨐⩸⫘(∃⊬10F1⊭∹↮))⇋≉)⩨((⫛⫱⨽∃⊬A9E)↙(≉∃⊬537)⊠≄⫣)=NaN","reverse_text":"NaN=(((∃⊬ABC⫌⩹⨱)⨐⩸⫘(∃⊬10F1⊭∹↮))⇋≉)⩨((⫛⫱⨽∃⊬A9E)↙(≉∃⊬537)⊠≄⫣)","cot":[{"info":"∃⊬ABC⫌⩹⨱=∃⊬1AF1","layer":3},{"info":"∃⊬10F1⊭∹↮=∃⊬21E2","layer":3},{"info":"∃⊬1AF1⨐⩸⫘∃⊬21E2=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"⫛⫱⨽∃⊬A9E=∃⊬0","layer":3},{"info":"≉∃⊬537=∃⊬74A","layer":3},{"info":"∃⊬0↙∃⊬74A=∃⊬0","layer":2},{"info":"∃⊬0⊠≄⫣=∃⊬0","layer":1},{"info":"NaN⩨∃⊬0=NaN","layer":0}]}
{"id":719,"expression_no_base_symbol":"(($1178$≎⊠⪸$1769$⇼⇔∾$7116$≎⊠⪸$1272$)⫌⩹⨱)⨵⪆(⩦⩻⨪($1516$⨳⩥⨓$1728$))≎⊠⪸(↽≂(⫛⫱⨽$2485$))","expression":"((∃⊬49A≎⊠⪸∃⊬6E9⇼⇔∾∃⊬1BCC≎⊠⪸∃⊬4F8)⫌⩹⨱)⨵⪆(⩦⩻⨪(∃⊬5EC⨳⩥⨓∃⊬6C0))≎⊠⪸(↽≂(⫛⫱⨽∃⊬9B5))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2204,"operation_count":10,"complexity_ratio":220.4,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1178,"base":16},"right_expr":{"type":"numeric_atoms","value":1769,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":7116,"base":16},"right_expr":{"type":"numeric_atoms","value":1272,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1516,"base":16},"right_expr":{"type":"numeric_atoms","value":1728,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2485,"base":16}}}}},"used_operators":["2DQ55sFlQl","EBcxylXtPf","tifHPKVTfV","bJkvcejdHO","2td37pGCOC","nCS4ZIUYfx","u6S6b8DprG","DlLNRPXxWL"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"number node, value=1769","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=1769, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=304629","layer":3},{"info":"number node, value=7116","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=7116, right_input=1272, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1842571","layer":3},{"info":"compute binary expreesion, left_input=304629, right_input=1842571, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=1537942","layer":2},{"info":"compute unary expreesion, input=1537942, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3077285","layer":1},{"info":"number node, value=1516","layer":4},{"info":"number node, value=1728","layer":4},{"info":"compute binary expreesion, left_input=1516, right_input=1728, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=212","layer":3},{"info":"compute unary expreesion, input=212, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=212","layer":2},{"info":"number node, value=2485","layer":4},{"info":"compute unary expreesion, input=2485, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=212, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=54435","layer":1},{"info":"compute binary expreesion, left_input=3077285, right_input=54435, 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":"((∃⊬49A≎⊠⪸∃⊬6E9⇼⇔∾∃⊬1BCC≎⊠⪸∃⊬4F8)⫌⩹⨱)⨵⪆(⩦⩻⨪(∃⊬5EC⨳⩥⨓∃⊬6C0))≎⊠⪸(↽≂(⫛⫱⨽∃⊬9B5))=∃⊬A0","reverse_text":"∃⊬A0=((∃⊬49A≎⊠⪸∃⊬6E9⇼⇔∾∃⊬1BCC≎⊠⪸∃⊬4F8)⫌⩹⨱)⨵⪆(⩦⩻⨪(∃⊬5EC⨳⩥⨓∃⊬6C0))≎⊠⪸(↽≂(⫛⫱⨽∃⊬9B5))","cot":[{"info":"∃⊬49A≎⊠⪸∃⊬6E9=∃⊬4A5F5","layer":3},{"info":"∃⊬1BCC≎⊠⪸∃⊬4F8=∃⊬1C1D8B","layer":3},{"info":"∃⊬4A5F5⇼⇔∾∃⊬1C1D8B=∃⊬177796","layer":2},{"info":"∃⊬177796⫌⩹⨱=∃⊬2EF4A5","layer":1},{"info":"∃⊬5EC⨳⩥⨓∃⊬6C0=∃⊬D4","layer":3},{"info":"⩦⩻⨪∃⊬D4=∃⊬D4","layer":2},{"info":"⫛⫱⨽∃⊬9B5=∃⊬0","layer":3},{"info":"↽≂∃⊬0=∃⊬0","layer":2},{"info":"∃⊬D4≎⊠⪸∃⊬0=∃⊬D4A3","layer":1},{"info":"∃⊬2EF4A5⨵⪆∃⊬D4A3=∃⊬A0","layer":0}]}
{"id":720,"expression_no_base_symbol":"↽≂(($4703$⨓$1109$⩤)⪄(⫛⫱⨽($3915$⋷$1193$)))","expression":"↽≂((∃⊬125F⨓∃⊬455⩤)⪄(⫛⫱⨽(∃⊬F4B⋷∃⊬4A9)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2639,"operation_count":6,"complexity_ratio":439.8333333333333,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":4703,"base":16},"right_expr":{"type":"numeric_atoms","value":1109,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3915,"base":16},"right_expr":{"type":"numeric_atoms","value":1193,"base":16}}}}},"used_operators":["u6S6b8DprG","SUmda5xLS4","Z2TMIBDE3Q","3ViojmjbAp","DlLNRPXxWL","23Mk6UjR3U"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬4E732","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4703","layer":4},{"info":"number node, value=1109","layer":4},{"info":"compute binary expreesion, left_input=4703, right_input=1109, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1112","layer":3},{"info":"compute unary expreesion, input=-1112, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=1112","layer":2},{"info":"number node, value=3915","layer":4},{"info":"number node, value=1193","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=1193, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1529","layer":3},{"info":"compute unary expreesion, input=-1529, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=1112, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-160665","layer":1},{"info":"compute unary expreesion, input=-160665, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=321330","layer":0}],"base":16,"result_base":16,"text":"↽≂((∃⊬125F⨓∃⊬455⩤)⪄(⫛⫱⨽(∃⊬F4B⋷∃⊬4A9)))=∃⊬4E732","reverse_text":"∃⊬4E732=↽≂((∃⊬125F⨓∃⊬455⩤)⪄(⫛⫱⨽(∃⊬F4B⋷∃⊬4A9)))","cot":[{"info":"∃⊬125F⨓∃⊬455=∃⊬-458","layer":3},{"info":"∃⊬-458⩤=∃⊬458","layer":2},{"info":"∃⊬F4B⋷∃⊬4A9=∃⊬-5F9","layer":3},{"info":"⫛⫱⨽∃⊬-5F9=∃⊬0","layer":2},{"info":"∃⊬458⪄∃⊬0=∃⊬-27399","layer":1},{"info":"↽≂∃⊬-27399=∃⊬4E732","layer":0}]}
{"id":721,"expression_no_base_symbol":"(($1750$⊦⊿)⊠≄⫣)⋝⋈⪟($5858$≭$7905$-$2088$⋳⪒$7043$)≋⫹","expression":"((∃⊬6D6⊦⊿)⊠≄⫣)⋝⋈⪟(∃⊬16E2≭∃⊬1EE1-∃⊬828⋳⪒∃⊬1B83)≋⫹","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24,"operation_count":7,"complexity_ratio":3.4285714285714284,"tree":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1750,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5858,"base":16},"right_expr":{"type":"numeric_atoms","value":7905,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2088,"base":16},"right_expr":{"type":"numeric_atoms","value":7043,"base":16}}}}},"used_operators":["N41Kp7NANJ","2DDjHMKMc0","DIvbN7qnHd","14qkJME0vr","rysDP5nf3Z","rxpJgHHUmx","12rbrZMWeM"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1750","layer":4},{"info":"compute unary expreesion, input=1750, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-5329","layer":3},{"info":"compute unary expreesion, input=-5329, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"number node, value=5858","layer":4},{"info":"number node, value=7905","layer":4},{"info":"compute binary expreesion, left_input=5858, right_input=7905, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2088","layer":4},{"info":"number node, value=7043","layer":4},{"info":"compute binary expreesion, left_input=2088, right_input=7043, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-3154","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3154, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬6D6⊦⊿)⊠≄⫣)⋝⋈⪟(∃⊬16E2≭∃⊬1EE1-∃⊬828⋳⪒∃⊬1B83)≋⫹=NaN","reverse_text":"NaN=((∃⊬6D6⊦⊿)⊠≄⫣)⋝⋈⪟(∃⊬16E2≭∃⊬1EE1-∃⊬828⋳⪒∃⊬1B83)≋⫹","cot":[{"info":"∃⊬6D6⊦⊿=∃⊬-14D1","layer":3},{"info":"∃⊬-14D1⊠≄⫣=∃⊬0","layer":2},{"info":"∃⊬16E2≭∃⊬1EE1=NaN","layer":3},{"info":"∃⊬828⋳⪒∃⊬1B83=∃⊬-C52","layer":3},{"info":"NaN-∃⊬-C52=NaN","layer":2},{"info":"∃⊬0⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN≋⫹=NaN","layer":0}]}
{"id":722,"expression_no_base_symbol":"($1791$⫩⊇)≭$4313$∀⇚≩$3526$⪨≂($5632$⊉≛↸$1099$)⨪↰⇹($1685$⨎$1579$)/(↽≂((↯⪼$1728$)⊘))","expression":"(∃⊬6FF⫩⊇)≭∃⊬10D9∀⇚≩∃⊬DC6⪨≂(∃⊬1600⊉≛↸∃⊬44B)⨪↰⇹(∃⊬695⨎∃⊬62B)/(↽≂((↯⪼∃⊬6C0)⊘))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":41523,"operation_count":11,"complexity_ratio":3774.818181818182,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1791,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":4313,"base":16},"right_expr":{"type":"numeric_atoms","value":3526,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5632,"base":16},"right_expr":{"type":"numeric_atoms","value":1099,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1685,"base":16},"right_expr":{"type":"numeric_atoms","value":1579,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1728,"base":16}}}}},"used_operators":["XhwjNDsVaA","sdazOOVcIp","rxpJgHHUmx","BjRHVeLaeN","LRNGc0VcxI","tmPS8pqC7x","DZ8iAZOCBD","rJVOvQCfKK","u6S6b8DprG","gu96TGCTMs","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1791","layer":4},{"info":"compute unary expreesion, input=1791, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1749","layer":3},{"info":"number node, value=4313","layer":4},{"info":"number node, value=3526","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=3526, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1749, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5632","layer":4},{"info":"number node, value=1099","layer":4},{"info":"compute binary expreesion, left_input=5632, right_input=1099, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11264","layer":3},{"info":"number node, value=1685","layer":4},{"info":"number node, value=1579","layer":4},{"info":"compute binary expreesion, left_input=1685, right_input=1579, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1579","layer":3},{"info":"compute binary expreesion, left_input=11264, right_input=1579, 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=11264","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11264, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1728","layer":4},{"info":"compute unary expreesion, input=1728, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6FF⫩⊇)≭∃⊬10D9∀⇚≩∃⊬DC6⪨≂(∃⊬1600⊉≛↸∃⊬44B)⨪↰⇹(∃⊬695⨎∃⊬62B)/(↽≂((↯⪼∃⊬6C0)⊘))=NaN","reverse_text":"NaN=(∃⊬6FF⫩⊇)≭∃⊬10D9∀⇚≩∃⊬DC6⪨≂(∃⊬1600⊉≛↸∃⊬44B)⨪↰⇹(∃⊬695⨎∃⊬62B)/(↽≂((↯⪼∃⊬6C0)⊘))","cot":[{"info":"∃⊬6FF⫩⊇=∃⊬-6D5","layer":3},{"info":"∃⊬10D9∀⇚≩∃⊬DC6=NaN","layer":3},{"info":"∃⊬-6D5≭NaN=NaN","layer":2},{"info":"∃⊬1600⊉≛↸∃⊬44B=∃⊬2C00","layer":3},{"info":"∃⊬695⨎∃⊬62B=∃⊬62B","layer":3},{"info":"∃⊬2C00⨪↰⇹∃⊬62B=∃⊬2C00","layer":2},{"info":"NaN⪨≂∃⊬2C00=NaN","layer":1},{"info":"↯⪼∃⊬6C0=∃⊬-15","layer":3},{"info":"∃⊬-15⊘=∃⊬0","layer":2},{"info":"↽≂∃⊬0=∃⊬0","layer":1},{"info":"NaN/∃⊬0=NaN","layer":0}]}
{"id":723,"expression_no_base_symbol":"⨞⊢($2674$*$1503$⨸⪁($5868$⪠⩆⊳)⪨≂$1052$⋥≓≎$1453$%$1009$⫸⊐$2888$)","expression":"⨞⊢(∃⊬A72*∃⊬5DF⨸⪁(∃⊬16EC⪠⩆⊳)⪨≂∃⊬41C⋥≓≎∃⊬5AD%∃⊬3F1⫸⊐∃⊬B48)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1548,"operation_count":8,"complexity_ratio":193.5,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2674,"base":16},"right_expr":{"type":"numeric_atoms","value":1503,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":5868,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1052,"base":16},"right_expr":{"type":"numeric_atoms","value":1453,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1009,"base":16},"right_expr":{"type":"numeric_atoms","value":2888,"base":16}}}}},"used_operators":["xUOZtlo3hN","sdazOOVcIp","g55IO6H4Gj","9HNa5Wba9A","JLbD19bQDL","k8jYdgA6NY","Qy55tPpLXF","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬-F53F8E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2674","layer":4},{"info":"number node, value=1503","layer":4},{"info":"compute binary expreesion, left_input=2674, right_input=1503, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4019022","layer":3},{"info":"number node, value=5868","layer":4},{"info":"compute unary expreesion, input=5868, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4019022, right_input=0, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8038044","layer":2},{"info":"number node, value=1052","layer":4},{"info":"number node, value=1453","layer":4},{"info":"compute binary expreesion, left_input=1052, right_input=1453, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1887","layer":3},{"info":"number node, value=1009","layer":4},{"info":"number node, value=2888","layer":4},{"info":"compute binary expreesion, left_input=1009, right_input=2888, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11427","layer":3},{"info":"compute binary expreesion, left_input=1887, right_input=11427, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1887","layer":2},{"info":"compute binary expreesion, left_input=8038044, right_input=1887, 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=16072416","layer":1},{"info":"compute unary expreesion, input=16072416, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-16072590","layer":0}],"base":16,"result_base":16,"text":"⨞⊢(∃⊬A72*∃⊬5DF⨸⪁(∃⊬16EC⪠⩆⊳)⪨≂∃⊬41C⋥≓≎∃⊬5AD%∃⊬3F1⫸⊐∃⊬B48)=∃⊬-F53F8E","reverse_text":"∃⊬-F53F8E=⨞⊢(∃⊬A72*∃⊬5DF⨸⪁(∃⊬16EC⪠⩆⊳)⪨≂∃⊬41C⋥≓≎∃⊬5AD%∃⊬3F1⫸⊐∃⊬B48)","cot":[{"info":"∃⊬A72*∃⊬5DF=∃⊬3D534E","layer":3},{"info":"∃⊬16EC⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬3D534E⨸⪁∃⊬0=∃⊬7AA69C","layer":2},{"info":"∃⊬41C⋥≓≎∃⊬5AD=∃⊬75F","layer":3},{"info":"∃⊬3F1⫸⊐∃⊬B48=∃⊬2CA3","layer":3},{"info":"∃⊬75F%∃⊬2CA3=∃⊬75F","layer":2},{"info":"∃⊬7AA69C⪨≂∃⊬75F=∃⊬F53EE0","layer":1},{"info":"⨞⊢∃⊬F53EE0=∃⊬-F53F8E","layer":0}]}
{"id":724,"expression_no_base_symbol":"(⩦⩻⨪((↔$2266$)≣⋋))⩚⊴⇥($2909$⊴$4211$≎⊠⪸($7382$↪⪝)⨐⩸⫘($2002$↬$8838$)⪘⫢($2902$⩠))","expression":"(⩦⩻⨪((↔∃⊬8DA)≣⋋))⩚⊴⇥(∃⊬B5D⊴∃⊬1073≎⊠⪸(∃⊬1CD6↪⪝)⨐⩸⫘(∃⊬7D2↬∃⊬2286)⪘⫢(∃⊬B56⩠))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5485,"operation_count":11,"complexity_ratio":498.6363636363636,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2266,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2909,"base":16},"right_expr":{"type":"numeric_atoms","value":4211,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7382,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2002,"base":16},"right_expr":{"type":"numeric_atoms","value":8838,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2902,"base":16}}}}},"used_operators":["NTOWxs364D","2td37pGCOC","Tcnh7f0tEr","ruOEQAzv1W","fu6greOZ01","bJkvcejdHO","Nsiff2A1zJ","l07mrZUIn9","oacrs7FA3X","B5M0gjZbta","sJAwomhLZr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","2DDjHMKMc0","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2266","layer":4},{"info":"compute unary expreesion, input=2266, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1993","layer":3},{"info":"compute unary expreesion, input=-1993, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=0","layer":1},{"info":"number node, value=2909","layer":4},{"info":"number node, value=4211","layer":4},{"info":"compute binary expreesion, left_input=2909, right_input=4211, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7382","layer":4},{"info":"compute unary expreesion, input=7382, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=451645524","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=451645524, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"number node, value=2002","layer":4},{"info":"number node, value=8838","layer":4},{"info":"compute binary expreesion, left_input=2002, right_input=8838, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2902","layer":4},{"info":"compute unary expreesion, input=2902, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":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":"(⩦⩻⨪((↔∃⊬8DA)≣⋋))⩚⊴⇥(∃⊬B5D⊴∃⊬1073≎⊠⪸(∃⊬1CD6↪⪝)⨐⩸⫘(∃⊬7D2↬∃⊬2286)⪘⫢(∃⊬B56⩠))=NaN","reverse_text":"NaN=(⩦⩻⨪((↔∃⊬8DA)≣⋋))⩚⊴⇥(∃⊬B5D⊴∃⊬1073≎⊠⪸(∃⊬1CD6↪⪝)⨐⩸⫘(∃⊬7D2↬∃⊬2286)⪘⫢(∃⊬B56⩠))","cot":[{"info":"↔∃⊬8DA=∃⊬-7C9","layer":3},{"info":"∃⊬-7C9≣⋋=∃⊬0","layer":2},{"info":"⩦⩻⨪∃⊬0=∃⊬0","layer":1},{"info":"∃⊬B5D⊴∃⊬1073=NaN","layer":3},{"info":"∃⊬1CD6↪⪝=∃⊬1AEB9054","layer":3},{"info":"NaN≎⊠⪸∃⊬1AEB9054=NaN","layer":2},{"info":"∃⊬7D2↬∃⊬2286=NaN","layer":3},{"info":"∃⊬B56⩠=∃⊬0","layer":3},{"info":"NaN⪘⫢∃⊬0=NaN","layer":2},{"info":"NaN⨐⩸⫘NaN=NaN","layer":1},{"info":"∃⊬0⩚⊴⇥NaN=NaN","layer":0}]}
{"id":725,"expression_no_base_symbol":"(($6628$⨓$1107$⨸⪁(↣≠⋷$4959$))⨐⩸⫘($1018$⨵⪆$1793$)⨰($3157$≧⫂∧$3468$))⫥∨⫟(($1257$⋥≓≎$3698$)↬($2465$⨐⩸⫘$4617$))∀⇚≩(↔($5562$*$2764$))","expression":"((∃⊬19E4⨓∃⊬453⨸⪁(↣≠⋷∃⊬135F))⨐⩸⫘(∃⊬3FA⨵⪆∃⊬701)⨰(∃⊬C55≧⫂∧∃⊬D8C))⫥∨⫟((∃⊬4E9⋥≓≎∃⊬E72)↬(∃⊬9A1⨐⩸⫘∃⊬1209))∀⇚≩(↔(∃⊬15BA*∃⊬ACC))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4060,"operation_count":14,"complexity_ratio":290.0,"tree":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6628,"base":16},"right_expr":{"type":"numeric_atoms","value":1107,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4959,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1018,"base":16},"right_expr":{"type":"numeric_atoms","value":1793,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3157,"base":16},"right_expr":{"type":"numeric_atoms","value":3468,"base":16}}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1257,"base":16},"right_expr":{"type":"numeric_atoms","value":3698,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2465,"base":16},"right_expr":{"type":"numeric_atoms","value":4617,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5562,"base":16},"right_expr":{"type":"numeric_atoms","value":2764,"base":16}}}}},"used_operators":["KYD54nUTWz","fu6greOZ01","g55IO6H4Gj","3ViojmjbAp","Asc51vEJeQ","eewbuw0ToL","2DQ55sFlQl","Ph9nP6C5qx","LRNGc0VcxI","B5M0gjZbta","Qy55tPpLXF","ruOEQAzv1W","9HNa5Wba9A"],"dependent_operators":["8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6628","layer":4},{"info":"number node, value=1107","layer":4},{"info":"compute binary expreesion, left_input=6628, right_input=1107, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1110","layer":3},{"info":"number node, value=4959","layer":4},{"info":"compute unary expreesion, input=4959, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1110, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=1018","layer":4},{"info":"number node, value=1793","layer":4},{"info":"compute binary expreesion, left_input=1018, right_input=1793, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3157","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=3157, right_input=3468, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2995","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2995, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2825","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-2825, 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=1257","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=1257, right_input=3698, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6172","layer":3},{"info":"number node, value=2465","layer":4},{"info":"number node, value=4617","layer":4},{"info":"compute binary expreesion, left_input=2465, right_input=4617, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6172, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=5562","layer":4},{"info":"number node, value=2764","layer":4},{"info":"compute binary expreesion, left_input=5562, right_input=2764, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15373368","layer":3},{"info":"compute unary expreesion, input=15373368, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-15373095","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-15373095, 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 = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬19E4⨓∃⊬453⨸⪁(↣≠⋷∃⊬135F))⨐⩸⫘(∃⊬3FA⨵⪆∃⊬701)⨰(∃⊬C55≧⫂∧∃⊬D8C))⫥∨⫟((∃⊬4E9⋥≓≎∃⊬E72)↬(∃⊬9A1⨐⩸⫘∃⊬1209))∀⇚≩(↔(∃⊬15BA*∃⊬ACC))=NaN","reverse_text":"NaN=((∃⊬19E4⨓∃⊬453⨸⪁(↣≠⋷∃⊬135F))⨐⩸⫘(∃⊬3FA⨵⪆∃⊬701)⨰(∃⊬C55≧⫂∧∃⊬D8C))⫥∨⫟((∃⊬4E9⋥≓≎∃⊬E72)↬(∃⊬9A1⨐⩸⫘∃⊬1209))∀⇚≩(↔(∃⊬15BA*∃⊬ACC))","cot":[{"info":"∃⊬19E4⨓∃⊬453=∃⊬-456","layer":3},{"info":"↣≠⋷∃⊬135F=NaN","layer":3},{"info":"∃⊬-456⨸⪁NaN=NaN","layer":2},{"info":"∃⊬3FA⨵⪆∃⊬701=∃⊬A0","layer":3},{"info":"∃⊬C55≧⫂∧∃⊬D8C=∃⊬BB3","layer":3},{"info":"∃⊬A0⨰∃⊬BB3=∃⊬-B09","layer":2},{"info":"NaN⨐⩸⫘∃⊬-B09=NaN","layer":1},{"info":"∃⊬4E9⋥≓≎∃⊬E72=∃⊬181C","layer":3},{"info":"∃⊬9A1⨐⩸⫘∃⊬1209=NaN","layer":3},{"info":"∃⊬181C↬NaN=NaN","layer":2},{"info":"∃⊬15BA*∃⊬ACC=∃⊬EA9438","layer":3},{"info":"↔∃⊬EA9438=∃⊬-EA9327","layer":2},{"info":"NaN∀⇚≩∃⊬-EA9327=NaN","layer":1},{"info":"NaN⫥∨⫟NaN=NaN","layer":0}]}
{"id":726,"expression_no_base_symbol":"(↔($1010$⊭∹↮))∑⇟⊟((↣≠⋷$3234$)%(↔$1436$))⨵⪆($3343$⋳⪒$1045$⊉≛↸$4669$⋓$2900$)+⇶⊼($1703$⇼⇔∾$1137$)∼($6794$⋳⪒$4078$)","expression":"(↔(∃⊬3F2⊭∹↮))∑⇟⊟((↣≠⋷∃⊬CA2)%(↔∃⊬59C))⨵⪆(∃⊬D0F⋳⪒∃⊬415⊉≛↸∃⊬123D⋓∃⊬B54)+⇶⊼(∃⊬6A7⇼⇔∾∃⊬471)∼(∃⊬1A8A⋳⪒∃⊬FEE)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":71,"operation_count":14,"complexity_ratio":5.071428571428571,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1010,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3234,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1436,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3343,"base":16},"right_expr":{"type":"numeric_atoms","value":1045,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4669,"base":16},"right_expr":{"type":"numeric_atoms","value":2900,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1703,"base":16},"right_expr":{"type":"numeric_atoms","value":1137,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":6794,"base":16},"right_expr":{"type":"numeric_atoms","value":4078,"base":16}}}}},"used_operators":["2DQ55sFlQl","U7g4x0WXJJ","ruOEQAzv1W","xNBdhnnwKq","k8jYdgA6NY","Asc51vEJeQ","TpPTUOHfaN","DZ8iAZOCBD","12rbrZMWeM","T2fj7uvVaJ","DyGG3AbaNP","tifHPKVTfV"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2020","layer":3},{"info":"compute unary expreesion, input=2020, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1747","layer":2},{"info":"number node, value=3234","layer":4},{"info":"compute unary expreesion, input=3234, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1436","layer":4},{"info":"compute unary expreesion, input=1436, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1163","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-1163, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1747, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=3343","layer":4},{"info":"number node, value=1045","layer":4},{"info":"compute binary expreesion, left_input=3343, right_input=1045, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5354","layer":3},{"info":"number node, value=4669","layer":4},{"info":"number node, value=2900","layer":4},{"info":"compute binary expreesion, left_input=4669, right_input=2900, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=5354, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10708","layer":2},{"info":"number node, value=1703","layer":4},{"info":"number node, value=1137","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1137, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-566","layer":3},{"info":"number node, value=6794","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=6794, right_input=4078, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=9223","layer":3},{"info":"compute binary expreesion, left_input=-566, right_input=9223, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10708, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"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":"(↔(∃⊬3F2⊭∹↮))∑⇟⊟((↣≠⋷∃⊬CA2)%(↔∃⊬59C))⨵⪆(∃⊬D0F⋳⪒∃⊬415⊉≛↸∃⊬123D⋓∃⊬B54)+⇶⊼(∃⊬6A7⇼⇔∾∃⊬471)∼(∃⊬1A8A⋳⪒∃⊬FEE)=∃⊬A0","reverse_text":"∃⊬A0=(↔(∃⊬3F2⊭∹↮))∑⇟⊟((↣≠⋷∃⊬CA2)%(↔∃⊬59C))⨵⪆(∃⊬D0F⋳⪒∃⊬415⊉≛↸∃⊬123D⋓∃⊬B54)+⇶⊼(∃⊬6A7⇼⇔∾∃⊬471)∼(∃⊬1A8A⋳⪒∃⊬FEE)","cot":[{"info":"∃⊬3F2⊭∹↮=∃⊬7E4","layer":3},{"info":"↔∃⊬7E4=∃⊬-6D3","layer":2},{"info":"↣≠⋷∃⊬CA2=NaN","layer":3},{"info":"↔∃⊬59C=∃⊬-48B","layer":3},{"info":"NaN%∃⊬-48B=NaN","layer":2},{"info":"∃⊬-6D3∑⇟⊟NaN=NaN","layer":1},{"info":"∃⊬D0F⋳⪒∃⊬415=∃⊬14EA","layer":3},{"info":"∃⊬123D⋓∃⊬B54=∃⊬0","layer":3},{"info":"∃⊬14EA⊉≛↸∃⊬0=∃⊬29D4","layer":2},{"info":"∃⊬6A7⇼⇔∾∃⊬471=∃⊬-236","layer":3},{"info":"∃⊬1A8A⋳⪒∃⊬FEE=∃⊬2407","layer":3},{"info":"∃⊬-236∼∃⊬2407=NaN","layer":2},{"info":"∃⊬29D4+⇶⊼NaN=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":727,"expression_no_base_symbol":"(⨞⊢($3867$↺$5117$⪨≂$3162$⪢$6737$))⊭↱(((⊄⩳↩$1114$)⩨$3839$≧⫂∧$2773$)⊭∹↮)","expression":"(⨞⊢(∃⊬F1B↺∃⊬13FD⪨≂∃⊬C5A⪢∃⊬1A51))⊭↱(((⊄⩳↩∃⊬45A)⩨∃⊬EFF≧⫂∧∃⊬AD5)⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":6761,"operation_count":9,"complexity_ratio":751.2222222222222,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3867,"base":16},"right_expr":{"type":"numeric_atoms","value":5117,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3162,"base":16},"right_expr":{"type":"numeric_atoms","value":6737,"base":16}}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1114,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3839,"base":16},"right_expr":{"type":"numeric_atoms","value":2773,"base":16}}}}},"used_operators":["COABgblf1C","xUOZtlo3hN","sdazOOVcIp","7j4O788W3g","dWAJyo7jo9","xNBdhnnwKq","2DlMacCsIx","8w2t5hMYqp","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3867","layer":4},{"info":"number node, value=5117","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=5117, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=5117","layer":3},{"info":"number node, value=3162","layer":4},{"info":"number node, value=6737","layer":4},{"info":"compute binary expreesion, left_input=3162, right_input=6737, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5117, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3342","layer":3},{"info":"number node, value=3839","layer":4},{"info":"number node, value=2773","layer":4},{"info":"compute binary expreesion, left_input=3839, right_input=2773, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2300","layer":3},{"info":"compute binary expreesion, left_input=-3342, right_input=2300, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute unary expreesion, input=3, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=3","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢(∃⊬F1B↺∃⊬13FD⪨≂∃⊬C5A⪢∃⊬1A51))⊭↱(((⊄⩳↩∃⊬45A)⩨∃⊬EFF≧⫂∧∃⊬AD5)⊭∹↮)=NaN","reverse_text":"NaN=(⨞⊢(∃⊬F1B↺∃⊬13FD⪨≂∃⊬C5A⪢∃⊬1A51))⊭↱(((⊄⩳↩∃⊬45A)⩨∃⊬EFF≧⫂∧∃⊬AD5)⊭∹↮)","cot":[{"info":"∃⊬F1B↺∃⊬13FD=∃⊬13FD","layer":3},{"info":"∃⊬C5A⪢∃⊬1A51=NaN","layer":3},{"info":"∃⊬13FD⪨≂NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"⊄⩳↩∃⊬45A=∃⊬-D0E","layer":3},{"info":"∃⊬EFF≧⫂∧∃⊬AD5=∃⊬8FC","layer":3},{"info":"∃⊬-D0E⩨∃⊬8FC=∃⊬3","layer":2},{"info":"∃⊬3⊭∹↮=∃⊬3","layer":1},{"info":"NaN⊭↱∃⊬3=NaN","layer":0}]}
{"id":728,"expression_no_base_symbol":"(($5497$⫸⊐$5128$)⨟⋌⩍($3439$⨐⩸⫘$3846$)↬(($1554$⋫)≎⊠⪸$1279$⪢$1603$))∼(($3447$≎⊠⪸$2872$)∑⇟⊟($4550$⋳⪒$3760$))⪮%⊝(($7949$⨽$1750$)⋳⪒(∂$4393$))","expression":"((∃⊬1579⫸⊐∃⊬1408)⨟⋌⩍(∃⊬D6F⨐⩸⫘∃⊬F06)↬((∃⊬612⋫)≎⊠⪸∃⊬4FF⪢∃⊬643))∼((∃⊬D77≎⊠⪸∃⊬B38)∑⇟⊟(∃⊬11C6⋳⪒∃⊬EB0))⪮%⊝((∃⊬1F0D⨽∃⊬6D6)⋳⪒(∂∃⊬1129))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":11451,"operation_count":15,"complexity_ratio":763.4,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5497,"base":16},"right_expr":{"type":"numeric_atoms","value":5128,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":3439,"base":16},"right_expr":{"type":"numeric_atoms","value":3846,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1554,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1279,"base":16},"right_expr":{"type":"numeric_atoms","value":1603,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3447,"base":16},"right_expr":{"type":"numeric_atoms","value":2872,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4550,"base":16},"right_expr":{"type":"numeric_atoms","value":3760,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7949,"base":16},"right_expr":{"type":"numeric_atoms","value":1750,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4393,"base":16}}}}},"used_operators":["DyGG3AbaNP","B5M0gjZbta","rGHVDoGpnC","mqXw5SEYmG","fu6greOZ01","bJkvcejdHO","JL8yIekQnl","dWAJyo7jo9","IWmyXbctLI","U7g4x0WXJJ","12rbrZMWeM","8HhzD0ZcuI","Uaa54Peajs"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rGHVDoGpnC","Tcnh7f0tEr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tmPS8pqC7x","k8jYdgA6NY","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5497","layer":4},{"info":"number node, value=5128","layer":4},{"info":"compute binary expreesion, left_input=5497, right_input=5128, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=20387","layer":3},{"info":"number node, value=3439","layer":4},{"info":"number node, value=3846","layer":4},{"info":"compute binary expreesion, left_input=3439, right_input=3846, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=20387, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1554","layer":4},{"info":"compute unary expreesion, input=1554, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1554","layer":3},{"info":"number node, value=1279","layer":4},{"info":"number node, value=1603","layer":4},{"info":"compute binary expreesion, left_input=1279, right_input=1603, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1554, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = 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=3447","layer":4},{"info":"number node, value=2872","layer":4},{"info":"compute binary expreesion, left_input=3447, right_input=2872, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=892300","layer":3},{"info":"number node, value=4550","layer":4},{"info":"number node, value=3760","layer":4},{"info":"compute binary expreesion, left_input=4550, right_input=3760, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5053","layer":3},{"info":"compute binary expreesion, left_input=892300, right_input=5053, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=7949","layer":4},{"info":"number node, value=1750","layer":4},{"info":"compute binary expreesion, left_input=7949, right_input=1750, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-189563739","layer":3},{"info":"number node, value=4393","layer":4},{"info":"compute unary expreesion, input=4393, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-189563739, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', 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":"((∃⊬1579⫸⊐∃⊬1408)⨟⋌⩍(∃⊬D6F⨐⩸⫘∃⊬F06)↬((∃⊬612⋫)≎⊠⪸∃⊬4FF⪢∃⊬643))∼((∃⊬D77≎⊠⪸∃⊬B38)∑⇟⊟(∃⊬11C6⋳⪒∃⊬EB0))⪮%⊝((∃⊬1F0D⨽∃⊬6D6)⋳⪒(∂∃⊬1129))=NaN","reverse_text":"NaN=((∃⊬1579⫸⊐∃⊬1408)⨟⋌⩍(∃⊬D6F⨐⩸⫘∃⊬F06)↬((∃⊬612⋫)≎⊠⪸∃⊬4FF⪢∃⊬643))∼((∃⊬D77≎⊠⪸∃⊬B38)∑⇟⊟(∃⊬11C6⋳⪒∃⊬EB0))⪮%⊝((∃⊬1F0D⨽∃⊬6D6)⋳⪒(∂∃⊬1129))","cot":[{"info":"∃⊬1579⫸⊐∃⊬1408=∃⊬4FA3","layer":3},{"info":"∃⊬D6F⨐⩸⫘∃⊬F06=NaN","layer":3},{"info":"∃⊬4FA3⨟⋌⩍NaN=NaN","layer":2},{"info":"∃⊬612⋫=∃⊬612","layer":3},{"info":"∃⊬4FF⪢∃⊬643=NaN","layer":3},{"info":"∃⊬612≎⊠⪸NaN=∃⊬43","layer":2},{"info":"NaN↬∃⊬43=NaN","layer":1},{"info":"∃⊬D77≎⊠⪸∃⊬B38=∃⊬D9D8C","layer":3},{"info":"∃⊬11C6⋳⪒∃⊬EB0=∃⊬13BD","layer":3},{"info":"∃⊬D9D8C∑⇟⊟∃⊬13BD=NaN","layer":2},{"info":"∃⊬1F0D⨽∃⊬6D6=∃⊬-B4C835B","layer":3},{"info":"∂∃⊬1129=NaN","layer":3},{"info":"∃⊬-B4C835B⋳⪒NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":729,"expression_no_base_symbol":"(⨞⊢(⪝⪂⫅$6006$))⨓(≉$1226$⫸⊐$3104$)⪒($4266$⨪↰⇹$4943$∲⫓$2737$⨓$3759$)⋓($2738$⨎$5679$≋⫹)","expression":"(⨞⊢(⪝⪂⫅∃⊬1776))⨓(≉∃⊬4CA⫸⊐∃⊬C20)⪒(∃⊬10AA⨪↰⇹∃⊬134F∲⫓∃⊬AB1⨓∃⊬EAF)⋓(∃⊬AB2⨎∃⊬162F≋⫹)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":21058,"operation_count":12,"complexity_ratio":1754.8333333333333,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6006,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1226,"base":16},"right_expr":{"type":"numeric_atoms","value":3104,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4266,"base":16},"right_expr":{"type":"numeric_atoms","value":4943,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2737,"base":16},"right_expr":{"type":"numeric_atoms","value":3759,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2738,"base":16},"right_expr":{"type":"numeric_atoms","value":5679,"base":16}}}}},"used_operators":["f6k1SAg4EE","3ViojmjbAp","xUOZtlo3hN","XTarYq4gQB","e1ybzncUwg","mqXw5SEYmG","T2fj7uvVaJ","i8ToyICDmI","tmPS8pqC7x","N41Kp7NANJ","rJVOvQCfKK"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"∃⊬3219","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6006","layer":4},{"info":"compute unary expreesion, input=6006, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-882882","layer":3},{"info":"compute unary expreesion, input=-882882, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=882708","layer":2},{"info":"number node, value=1226","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=3104, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=12291","layer":3},{"info":"compute unary expreesion, input=12291, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=12822","layer":2},{"info":"compute binary expreesion, left_input=882708, right_input=12822, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-12825","layer":1},{"info":"number node, value=4266","layer":4},{"info":"number node, value=4943","layer":4},{"info":"compute binary expreesion, left_input=4266, right_input=4943, 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=4266","layer":3},{"info":"number node, value=2737","layer":4},{"info":"number node, value=3759","layer":4},{"info":"compute binary expreesion, left_input=2737, right_input=3759, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-3762","layer":3},{"info":"compute binary expreesion, left_input=4266, right_input=-3762, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=4266","layer":2},{"info":"number node, value=2738","layer":4},{"info":"number node, value=5679","layer":4},{"info":"compute binary expreesion, left_input=2738, right_input=5679, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=5679","layer":3},{"info":"compute unary expreesion, input=5679, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-11358","layer":2},{"info":"compute binary expreesion, left_input=4266, right_input=-11358, 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=-12825, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=12825","layer":0}],"base":16,"result_base":16,"text":"(⨞⊢(⪝⪂⫅∃⊬1776))⨓(≉∃⊬4CA⫸⊐∃⊬C20)⪒(∃⊬10AA⨪↰⇹∃⊬134F∲⫓∃⊬AB1⨓∃⊬EAF)⋓(∃⊬AB2⨎∃⊬162F≋⫹)=∃⊬3219","reverse_text":"∃⊬3219=(⨞⊢(⪝⪂⫅∃⊬1776))⨓(≉∃⊬4CA⫸⊐∃⊬C20)⪒(∃⊬10AA⨪↰⇹∃⊬134F∲⫓∃⊬AB1⨓∃⊬EAF)⋓(∃⊬AB2⨎∃⊬162F≋⫹)","cot":[{"info":"⪝⪂⫅∃⊬1776=∃⊬-D78C2","layer":3},{"info":"⨞⊢∃⊬-D78C2=∃⊬D7814","layer":2},{"info":"∃⊬4CA⫸⊐∃⊬C20=∃⊬3003","layer":3},{"info":"≉∃⊬3003=∃⊬3216","layer":2},{"info":"∃⊬D7814⨓∃⊬3216=∃⊬-3219","layer":1},{"info":"∃⊬10AA⨪↰⇹∃⊬134F=∃⊬10AA","layer":3},{"info":"∃⊬AB1⨓∃⊬EAF=∃⊬-EB2","layer":3},{"info":"∃⊬10AA∲⫓∃⊬-EB2=∃⊬10AA","layer":2},{"info":"∃⊬AB2⨎∃⊬162F=∃⊬162F","layer":3},{"info":"∃⊬162F≋⫹=∃⊬-2C5E","layer":2},{"info":"∃⊬10AA⋓∃⊬-2C5E=∃⊬0","layer":1},{"info":"∃⊬-3219⪒∃⊬0=∃⊬3219","layer":0}]}
{"id":730,"expression_no_base_symbol":"(≤/($3070$⨰$1096$)⇷($7522$%$5420$))⫌⩹⨱","expression":"(≤/(∃⊬BFE⨰∃⊬448)⇷(∃⊬1D62%∃⊬152C))⫌⩹⨱","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":27797,"operation_count":5,"complexity_ratio":5559.4,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3070,"base":16},"right_expr":{"type":"numeric_atoms","value":1096,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7522,"base":16},"right_expr":{"type":"numeric_atoms","value":5420,"base":16}}}}},"used_operators":["EBcxylXtPf","eLAdDNolq6","mp7IySMOzn","eewbuw0ToL","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-1797","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3070","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=3070, right_input=1096, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1984","layer":3},{"info":"number node, value=7522","layer":4},{"info":"number node, value=5420","layer":4},{"info":"compute binary expreesion, left_input=7522, right_input=5420, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2102","layer":3},{"info":"compute binary expreesion, left_input=1984, right_input=2102, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4204","layer":2},{"info":"compute unary expreesion, input=4204, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-3720","layer":1},{"info":"compute unary expreesion, input=-3720, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=-6039","layer":0}],"base":16,"result_base":16,"text":"(≤/(∃⊬BFE⨰∃⊬448)⇷(∃⊬1D62%∃⊬152C))⫌⩹⨱=∃⊬-1797","reverse_text":"∃⊬-1797=(≤/(∃⊬BFE⨰∃⊬448)⇷(∃⊬1D62%∃⊬152C))⫌⩹⨱","cot":[{"info":"∃⊬BFE⨰∃⊬448=∃⊬7C0","layer":3},{"info":"∃⊬1D62%∃⊬152C=∃⊬836","layer":3},{"info":"∃⊬7C0⇷∃⊬836=∃⊬106C","layer":2},{"info":"≤/∃⊬106C=∃⊬-E88","layer":1},{"info":"∃⊬-E88⫌⩹⨱=∃⊬-1797","layer":0}]}
{"id":731,"expression_no_base_symbol":"(($6730$⨳⩥⨓$2459$)⋳⪒(↔$2297$)+(↯⪼$6328$)↺(⊙↵-$1334$))⨸⪁(⇁⨣⪵($3457$-$3888$))⨪↰⇹(≤/$1756$⨰$1241$)","expression":"((∃⊬1A4A⨳⩥⨓∃⊬99B)⋳⪒(↔∃⊬8F9)+(↯⪼∃⊬18B8)↺(⊙↵-∃⊬536))⨸⪁(⇁⨣⪵(∃⊬D81-∃⊬F30))⨪↰⇹(≤/∃⊬6DC⨰∃⊬4D9)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1444,"operation_count":13,"complexity_ratio":111.07692307692308,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6730,"base":16},"right_expr":{"type":"numeric_atoms","value":2459,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2297,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":6328,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1334,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3457,"base":16},"right_expr":{"type":"numeric_atoms","value":3888,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1756,"base":16},"right_expr":{"type":"numeric_atoms","value":1241,"base":16}}}}},"used_operators":["g55IO6H4Gj","W4YGzv6Whe","12rbrZMWeM","nCS4ZIUYfx","ruOEQAzv1W","7j4O788W3g","8jW3W4yZS5","oWn0xqSxBt","tmPS8pqC7x","inkyxCbjAn","rysDP5nf3Z","eLAdDNolq6","eewbuw0ToL"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rJVOvQCfKK","B5M0gjZbta","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6730","layer":4},{"info":"number node, value=2459","layer":4},{"info":"compute binary expreesion, left_input=6730, right_input=2459, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4271","layer":3},{"info":"number node, value=2297","layer":4},{"info":"compute unary expreesion, input=2297, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2024","layer":3},{"info":"compute binary expreesion, left_input=-4271, right_input=-2024, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-6805","layer":2},{"info":"number node, value=6328","layer":4},{"info":"compute unary expreesion, input=6328, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=-21, 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":2},{"info":"compute binary expreesion, left_input=-6805, right_input=-1, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6806","layer":1},{"info":"number node, value=3457","layer":4},{"info":"number node, value=3888","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=3888, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-431","layer":3},{"info":"compute unary expreesion, input=-431, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1756","layer":4},{"info":"number node, value=1241","layer":4},{"info":"compute binary expreesion, left_input=1756, right_input=1241, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=525","layer":3},{"info":"compute unary expreesion, input=525, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-41","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-41, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-6806, 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":"((∃⊬1A4A⨳⩥⨓∃⊬99B)⋳⪒(↔∃⊬8F9)+(↯⪼∃⊬18B8)↺(⊙↵-∃⊬536))⨸⪁(⇁⨣⪵(∃⊬D81-∃⊬F30))⨪↰⇹(≤/∃⊬6DC⨰∃⊬4D9)=NaN","reverse_text":"NaN=((∃⊬1A4A⨳⩥⨓∃⊬99B)⋳⪒(↔∃⊬8F9)+(↯⪼∃⊬18B8)↺(⊙↵-∃⊬536))⨸⪁(⇁⨣⪵(∃⊬D81-∃⊬F30))⨪↰⇹(≤/∃⊬6DC⨰∃⊬4D9)","cot":[{"info":"∃⊬1A4A⨳⩥⨓∃⊬99B=∃⊬-10AF","layer":3},{"info":"↔∃⊬8F9=∃⊬-7E8","layer":3},{"info":"∃⊬-10AF⋳⪒∃⊬-7E8=∃⊬-1A95","layer":2},{"info":"↯⪼∃⊬18B8=∃⊬-15","layer":3},{"info":"⊙↵-∃⊬536=∃⊬-1","layer":3},{"info":"∃⊬-15↺∃⊬-1=∃⊬-1","layer":2},{"info":"∃⊬-1A95+∃⊬-1=∃⊬-1A96","layer":1},{"info":"∃⊬D81-∃⊬F30=∃⊬-1AF","layer":3},{"info":"⇁⨣⪵∃⊬-1AF=NaN","layer":2},{"info":"∃⊬6DC⨰∃⊬4D9=∃⊬20D","layer":3},{"info":"≤/∃⊬20D=∃⊬-29","layer":2},{"info":"NaN⨪↰⇹∃⊬-29=NaN","layer":1},{"info":"∃⊬-1A96⨸⪁NaN=NaN","layer":0}]}
{"id":732,"expression_no_base_symbol":"($2565$%$1492$⪨≂$1775$⩨$1035$)≭(↩$4661$⩚⊴⇥$6293$)⊉≛↸(⨈⫕($1531$↺$4937$↪⪝))","expression":"(∃⊬A05%∃⊬5D4⪨≂∃⊬6EF⩨∃⊬40B)≭(↩∃⊬1235⩚⊴⇥∃⊬1895)⊉≛↸(⨈⫕(∃⊬5FB↺∃⊬1349↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1124,"operation_count":10,"complexity_ratio":112.4,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":2565,"base":16},"right_expr":{"type":"numeric_atoms","value":1492,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1775,"base":16},"right_expr":{"type":"numeric_atoms","value":1035,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4661,"base":16},"right_expr":{"type":"numeric_atoms","value":6293,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1531,"base":16},"right_expr":{"type":"numeric_atoms","value":4937,"base":16}}}}},"used_operators":["DZ8iAZOCBD","rxpJgHHUmx","sdazOOVcIp","k8jYdgA6NY","2DlMacCsIx","jLgFTUHLKL","NTOWxs364D","megm06wKyl","l07mrZUIn9","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2565","layer":4},{"info":"number node, value=1492","layer":4},{"info":"compute binary expreesion, left_input=2565, right_input=1492, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1073","layer":3},{"info":"number node, value=1775","layer":4},{"info":"number node, value=1035","layer":4},{"info":"compute binary expreesion, left_input=1775, right_input=1035, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=1073, 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=2248","layer":2},{"info":"number node, value=4661","layer":4},{"info":"number node, value=6293","layer":4},{"info":"compute binary expreesion, left_input=4661, right_input=6293, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11075","layer":3},{"info":"compute unary expreesion, input=-11075, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=46920","layer":2},{"info":"compute binary expreesion, left_input=2248, right_input=46920, 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=1531","layer":4},{"info":"number node, value=4937","layer":4},{"info":"compute binary expreesion, left_input=1531, right_input=4937, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4937","layer":3},{"info":"compute unary expreesion, input=4937, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=302055534","layer":2},{"info":"compute unary expreesion, input=302055534, 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 = 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":"(∃⊬A05%∃⊬5D4⪨≂∃⊬6EF⩨∃⊬40B)≭(↩∃⊬1235⩚⊴⇥∃⊬1895)⊉≛↸(⨈⫕(∃⊬5FB↺∃⊬1349↪⪝))=NaN","reverse_text":"NaN=(∃⊬A05%∃⊬5D4⪨≂∃⊬6EF⩨∃⊬40B)≭(↩∃⊬1235⩚⊴⇥∃⊬1895)⊉≛↸(⨈⫕(∃⊬5FB↺∃⊬1349↪⪝))","cot":[{"info":"∃⊬A05%∃⊬5D4=∃⊬431","layer":3},{"info":"∃⊬6EF⩨∃⊬40B=∃⊬0","layer":3},{"info":"∃⊬431⪨≂∃⊬0=∃⊬8C8","layer":2},{"info":"∃⊬1235⩚⊴⇥∃⊬1895=∃⊬-2B43","layer":3},{"info":"↩∃⊬-2B43=∃⊬B748","layer":2},{"info":"∃⊬8C8≭∃⊬B748=NaN","layer":1},{"info":"∃⊬5FB↺∃⊬1349=∃⊬1349","layer":3},{"info":"∃⊬1349↪⪝=∃⊬1201006E","layer":2},{"info":"⨈⫕∃⊬1201006E=∃⊬-15","layer":1},{"info":"NaN⊉≛↸∃⊬-15=NaN","layer":0}]}
{"id":733,"expression_no_base_symbol":"((($4821$∲⫓$1658$)⪐)⨪↰⇹($3212$↬$7701$≎⊠⪸($5391$⨎$3094$)))⪮%⊝((↔$3009$)∼($4104$⨎$2584$)⊭↱(⇁⨣⪵$1060$)⪘⫢($5484$⋓$2126$))","expression":"(((∃⊬12D5∲⫓∃⊬67A)⪐)⨪↰⇹(∃⊬C8C↬∃⊬1E15≎⊠⪸(∃⊬150F⨎∃⊬C16)))⪮%⊝((↔∃⊬BC1)∼(∃⊬1008⨎∃⊬A18)⊭↱(⇁⨣⪵∃⊬424)⪘⫢(∃⊬156C⋓∃⊬84E))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":120,"operation_count":14,"complexity_ratio":8.571428571428571,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4821,"base":16},"right_expr":{"type":"numeric_atoms","value":1658,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3212,"base":16},"right_expr":{"type":"numeric_atoms","value":7701,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5391,"base":16},"right_expr":{"type":"numeric_atoms","value":3094,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3009,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4104,"base":16},"right_expr":{"type":"numeric_atoms","value":2584,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1060,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":5484,"base":16},"right_expr":{"type":"numeric_atoms","value":2126,"base":16}}}}},"used_operators":["IWmyXbctLI","tmPS8pqC7x","eH2TOUuTDT","i8ToyICDmI","bJkvcejdHO","B5M0gjZbta","rJVOvQCfKK","COABgblf1C","DyGG3AbaNP","ruOEQAzv1W","oacrs7FA3X","inkyxCbjAn","T2fj7uvVaJ"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","B5M0gjZbta","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4821","layer":4},{"info":"number node, value=1658","layer":4},{"info":"compute binary expreesion, left_input=4821, right_input=1658, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"number node, value=3212","layer":4},{"info":"number node, value=7701","layer":4},{"info":"compute binary expreesion, left_input=3212, right_input=7701, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5391","layer":4},{"info":"number node, value=3094","layer":4},{"info":"compute binary expreesion, left_input=5391, right_input=3094, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3094","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3094, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2736","layer":3},{"info":"number node, value=4104","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=4104, right_input=2584, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2584","layer":3},{"info":"compute binary expreesion, left_input=-2736, right_input=2584, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=1060","layer":4},{"info":"compute unary expreesion, input=1060, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=5484","layer":4},{"info":"number node, value=2126","layer":4},{"info":"compute binary expreesion, left_input=5484, right_input=2126, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬12D5∲⫓∃⊬67A)⪐)⨪↰⇹(∃⊬C8C↬∃⊬1E15≎⊠⪸(∃⊬150F⨎∃⊬C16)))⪮%⊝((↔∃⊬BC1)∼(∃⊬1008⨎∃⊬A18)⊭↱(⇁⨣⪵∃⊬424)⪘⫢(∃⊬156C⋓∃⊬84E))=NaN","reverse_text":"NaN=(((∃⊬12D5∲⫓∃⊬67A)⪐)⨪↰⇹(∃⊬C8C↬∃⊬1E15≎⊠⪸(∃⊬150F⨎∃⊬C16)))⪮%⊝((↔∃⊬BC1)∼(∃⊬1008⨎∃⊬A18)⊭↱(⇁⨣⪵∃⊬424)⪘⫢(∃⊬156C⋓∃⊬84E))","cot":[{"info":"∃⊬12D5∲⫓∃⊬67A=∃⊬0","layer":3},{"info":"∃⊬0⪐=∃⊬0","layer":2},{"info":"∃⊬C8C↬∃⊬1E15=NaN","layer":3},{"info":"∃⊬150F⨎∃⊬C16=∃⊬C16","layer":3},{"info":"NaN≎⊠⪸∃⊬C16=NaN","layer":2},{"info":"∃⊬0⨪↰⇹NaN=∃⊬0","layer":1},{"info":"↔∃⊬BC1=∃⊬-AB0","layer":3},{"info":"∃⊬1008⨎∃⊬A18=∃⊬A18","layer":3},{"info":"∃⊬-AB0∼∃⊬A18=NaN","layer":2},{"info":"⇁⨣⪵∃⊬424=NaN","layer":3},{"info":"∃⊬156C⋓∃⊬84E=∃⊬0","layer":3},{"info":"NaN⪘⫢∃⊬0=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"∃⊬0⪮%⊝NaN=NaN","layer":0}]}
{"id":734,"expression_no_base_symbol":"(($4986$⫥∨⫟$4189$⨵⪆$5909$⪛$4010$)∸)⩚⊴⇥(((≉$1369$)⩠)⇋≉)","expression":"((∃⊬137A⫥∨⫟∃⊬105D⨵⪆∃⊬1715⪛∃⊬FAA)∸)⩚⊴⇥(((≉∃⊬559)⩠)⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":362,"operation_count":8,"complexity_ratio":45.25,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4986,"base":16},"right_expr":{"type":"numeric_atoms","value":4189,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5909,"base":16},"right_expr":{"type":"numeric_atoms","value":4010,"base":16}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1369,"base":16}}}}},"used_operators":["NTOWxs364D","o20kRiQErp","2DQ55sFlQl","KYD54nUTWz","uFcxV4UQCh","XIabStNQrY","sJAwomhLZr","e1ybzncUwg"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-C8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4986","layer":4},{"info":"number node, value=4189","layer":4},{"info":"compute binary expreesion, left_input=4986, right_input=4189, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5909","layer":4},{"info":"number node, value=4010","layer":4},{"info":"compute binary expreesion, left_input=5909, right_input=4010, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1899","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1899, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=1369","layer":4},{"info":"compute unary expreesion, input=1369, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1900","layer":3},{"info":"compute unary expreesion, input=1900, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-98","layer":1},{"info":"compute binary expreesion, left_input=177, right_input=-98, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-200","layer":0}],"base":16,"result_base":16,"text":"((∃⊬137A⫥∨⫟∃⊬105D⨵⪆∃⊬1715⪛∃⊬FAA)∸)⩚⊴⇥(((≉∃⊬559)⩠)⇋≉)=∃⊬-C8","reverse_text":"∃⊬-C8=((∃⊬137A⫥∨⫟∃⊬105D⨵⪆∃⊬1715⪛∃⊬FAA)∸)⩚⊴⇥(((≉∃⊬559)⩠)⇋≉)","cot":[{"info":"∃⊬137A⫥∨⫟∃⊬105D=NaN","layer":3},{"info":"∃⊬1715⪛∃⊬FAA=∃⊬76B","layer":3},{"info":"NaN⨵⪆∃⊬76B=∃⊬A0","layer":2},{"info":"∃⊬A0∸=∃⊬B1","layer":1},{"info":"≉∃⊬559=∃⊬76C","layer":3},{"info":"∃⊬76C⩠=∃⊬0","layer":2},{"info":"∃⊬0⇋≉=∃⊬-62","layer":1},{"info":"∃⊬B1⩚⊴⇥∃⊬-62=∃⊬-C8","layer":0}]}
{"id":735,"expression_no_base_symbol":"(($1178$⫌⩹⨱)⨳⩥⨓(⪲⇎$3697$))⋝⋈⪟(↣≠⋷(∥⊫$3306$))⊉≛↸(($1603$≧⫂∧$2040$)⨪↰⇹($1546$≭$1362$))⨟⋌⩍((↩$1582$)⨵⪆$1628$∼$1862$)","expression":"((∃⊬49A⫌⩹⨱)⨳⩥⨓(⪲⇎∃⊬E71))⋝⋈⪟(↣≠⋷(∥⊫∃⊬CEA))⊉≛↸((∃⊬643≧⫂∧∃⊬7F8)⨪↰⇹(∃⊬60A≭∃⊬552))⨟⋌⩍((↩∃⊬62E)⨵⪆∃⊬65C∼∃⊬746)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":2793,"operation_count":14,"complexity_ratio":199.5,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1178,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3697,"base":16}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3306,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1603,"base":16},"right_expr":{"type":"numeric_atoms","value":2040,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1546,"base":16},"right_expr":{"type":"numeric_atoms","value":1362,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1582,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1628,"base":16},"right_expr":{"type":"numeric_atoms","value":1862,"base":16}}}}},"used_operators":["DZ8iAZOCBD","2DDjHMKMc0","nCS4ZIUYfx","EBcxylXtPf","XPYlsWDdGa","Asc51vEJeQ","P8v4zCKN1o","rGHVDoGpnC","tmPS8pqC7x","Ph9nP6C5qx","rxpJgHHUmx","2DQ55sFlQl","jLgFTUHLKL","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1178","layer":4},{"info":"compute unary expreesion, input=1178, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3757","layer":3},{"info":"number node, value=3697","layer":4},{"info":"compute unary expreesion, input=3697, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=7394","layer":3},{"info":"compute binary expreesion, left_input=3757, right_input=7394, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=3637","layer":2},{"info":"number node, value=3306","layer":4},{"info":"compute unary expreesion, input=3306, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4174","layer":3},{"info":"compute unary expreesion, input=4174, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3637, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1603","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=2040, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1567","layer":3},{"info":"number node, value=1546","layer":4},{"info":"number node, value=1362","layer":4},{"info":"compute binary expreesion, left_input=1546, right_input=1362, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1567, 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=1567","layer":2},{"info":"number node, value=1582","layer":4},{"info":"compute unary expreesion, input=1582, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9876","layer":3},{"info":"number node, value=1628","layer":4},{"info":"number node, value=1862","layer":4},{"info":"compute binary expreesion, left_input=1628, right_input=1862, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-9876, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=1567, right_input=160, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"((∃⊬49A⫌⩹⨱)⨳⩥⨓(⪲⇎∃⊬E71))⋝⋈⪟(↣≠⋷(∥⊫∃⊬CEA))⊉≛↸((∃⊬643≧⫂∧∃⊬7F8)⨪↰⇹(∃⊬60A≭∃⊬552))⨟⋌⩍((↩∃⊬62E)⨵⪆∃⊬65C∼∃⊬746)=NaN","reverse_text":"NaN=((∃⊬49A⫌⩹⨱)⨳⩥⨓(⪲⇎∃⊬E71))⋝⋈⪟(↣≠⋷(∥⊫∃⊬CEA))⊉≛↸((∃⊬643≧⫂∧∃⊬7F8)⨪↰⇹(∃⊬60A≭∃⊬552))⨟⋌⩍((↩∃⊬62E)⨵⪆∃⊬65C∼∃⊬746)","cot":[{"info":"∃⊬49A⫌⩹⨱=∃⊬EAD","layer":3},{"info":"⪲⇎∃⊬E71=∃⊬1CE2","layer":3},{"info":"∃⊬EAD⨳⩥⨓∃⊬1CE2=∃⊬E35","layer":2},{"info":"∥⊫∃⊬CEA=∃⊬104E","layer":3},{"info":"↣≠⋷∃⊬104E=NaN","layer":2},{"info":"∃⊬E35⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬643≧⫂∧∃⊬7F8=∃⊬61F","layer":3},{"info":"∃⊬60A≭∃⊬552=NaN","layer":3},{"info":"∃⊬61F⨪↰⇹NaN=∃⊬61F","layer":2},{"info":"↩∃⊬62E=∃⊬-2694","layer":3},{"info":"∃⊬65C∼∃⊬746=NaN","layer":3},{"info":"∃⊬-2694⨵⪆NaN=∃⊬A0","layer":2},{"info":"∃⊬61F⨟⋌⩍∃⊬A0=∃⊬0","layer":1},{"info":"NaN⊉≛↸∃⊬0=NaN","layer":0}]}
{"id":736,"expression_no_base_symbol":"((≉(+⊝⨔$1162$))≎⊠⪸($6414$⊦⊿)⋓($3733$⇼⇔∾$8147$))⋝⋈⪟((($3067$⫡⨏$2146$)∸)∲⫓$6290$⩚⊴⇥$8847$⨽$3312$⪛$3698$)","expression":"((≉(+⊝⨔∃⊬48A))≎⊠⪸(∃⊬190E⊦⊿)⋓(∃⊬E95⇼⇔∾∃⊬1FD3))⋝⋈⪟(((∃⊬BFB⫡⨏∃⊬862)∸)∲⫓∃⊬1892⩚⊴⇥∃⊬228F⨽∃⊬CF0⪛∃⊬E72)","highest_n_order":3,"priority_hierarchical_complexity":10,"normalized_expansion_degree":15795,"operation_count":13,"complexity_ratio":1215.0,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1162,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":6414,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3733,"base":16},"right_expr":{"type":"numeric_atoms","value":8147,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3067,"base":16},"right_expr":{"type":"numeric_atoms","value":2146,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":6290,"base":16},"right_expr":{"type":"numeric_atoms","value":8847,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3312,"base":16},"right_expr":{"type":"numeric_atoms","value":3698,"base":16}}}}},"used_operators":["2DDjHMKMc0","bJkvcejdHO","e1ybzncUwg","DhbWaqg5eL","T2fj7uvVaJ","14qkJME0vr","tifHPKVTfV","i8ToyICDmI","o20kRiQErp","QMFrweE19q","8HhzD0ZcuI","NTOWxs364D","uFcxV4UQCh"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"∃⊬81B36","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1162","layer":4},{"info":"compute unary expreesion, input=1162, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2053","layer":2},{"info":"number node, value=6414","layer":4},{"info":"compute unary expreesion, input=6414, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-19321","layer":3},{"info":"number node, value=3733","layer":4},{"info":"number node, value=8147","layer":4},{"info":"compute binary expreesion, left_input=3733, right_input=8147, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4414","layer":3},{"info":"compute binary expreesion, left_input=-19321, right_input=4414, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=2053, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=531254","layer":1},{"info":"number node, value=3067","layer":4},{"info":"number node, value=2146","layer":4},{"info":"compute binary expreesion, left_input=3067, right_input=2146, 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=20410","layer":3},{"info":"compute unary expreesion, input=20410, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=6290","layer":4},{"info":"number node, value=8847","layer":4},{"info":"compute binary expreesion, left_input=6290, right_input=8847, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-15258","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=3698","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=3698, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3312","layer":3},{"info":"compute binary expreesion, left_input=-15258, right_input=3312, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-698428314","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=-698428314, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=177","layer":1},{"info":"compute binary expreesion, left_input=531254, right_input=177, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=531254","layer":0}],"base":16,"result_base":16,"text":"((≉(+⊝⨔∃⊬48A))≎⊠⪸(∃⊬190E⊦⊿)⋓(∃⊬E95⇼⇔∾∃⊬1FD3))⋝⋈⪟(((∃⊬BFB⫡⨏∃⊬862)∸)∲⫓∃⊬1892⩚⊴⇥∃⊬228F⨽∃⊬CF0⪛∃⊬E72)=∃⊬81B36","reverse_text":"∃⊬81B36=((≉(+⊝⨔∃⊬48A))≎⊠⪸(∃⊬190E⊦⊿)⋓(∃⊬E95⇼⇔∾∃⊬1FD3))⋝⋈⪟(((∃⊬BFB⫡⨏∃⊬862)∸)∲⫓∃⊬1892⩚⊴⇥∃⊬228F⨽∃⊬CF0⪛∃⊬E72)","cot":[{"info":"+⊝⨔∃⊬48A=∃⊬5F2","layer":3},{"info":"≉∃⊬5F2=∃⊬805","layer":2},{"info":"∃⊬190E⊦⊿=∃⊬-4B79","layer":3},{"info":"∃⊬E95⇼⇔∾∃⊬1FD3=∃⊬113E","layer":3},{"info":"∃⊬-4B79⋓∃⊬113E=∃⊬0","layer":2},{"info":"∃⊬805≎⊠⪸∃⊬0=∃⊬81B36","layer":1},{"info":"∃⊬BFB⫡⨏∃⊬862=∃⊬4FBA","layer":3},{"info":"∃⊬4FBA∸=∃⊬B1","layer":2},{"info":"∃⊬1892⩚⊴⇥∃⊬228F=∃⊬-3B9A","layer":3},{"info":"∃⊬CF0⪛∃⊬E72=∃⊬CF0","layer":3},{"info":"∃⊬-3B9A⨽∃⊬CF0=∃⊬-29A12B9A","layer":2},{"info":"∃⊬B1∲⫓∃⊬-29A12B9A=∃⊬B1","layer":1},{"info":"∃⊬81B36⋝⋈⪟∃⊬B1=∃⊬81B36","layer":0}]}
{"id":737,"expression_no_base_symbol":"(⊄⩳↩($8466$⨰$1627$)⨪↰⇹($1064$⊭∹↮))⋝⋈⪟($2459$*$5009$)⪛($5989$⋝⋈⪟$3344$)⪘⫢((∂$1036$)↛⩡⫤)","expression":"(⊄⩳↩(∃⊬2112⨰∃⊬65B)⨪↰⇹(∃⊬428⊭∹↮))⋝⋈⪟(∃⊬99B*∃⊬1391)⪛(∃⊬1765⋝⋈⪟∃⊬D10)⪘⫢((∂∃⊬40C)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":11461,"operation_count":11,"complexity_ratio":1041.909090909091,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":8466,"base":16},"right_expr":{"type":"numeric_atoms","value":1627,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1064,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2459,"base":16},"right_expr":{"type":"numeric_atoms","value":5009,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5989,"base":16},"right_expr":{"type":"numeric_atoms","value":3344,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1036,"base":16}}}}},"used_operators":["2DDjHMKMc0","8w2t5hMYqp","tmPS8pqC7x","eewbuw0ToL","xNBdhnnwKq","oacrs7FA3X","uFcxV4UQCh","9HNa5Wba9A","FU0Cs4j7VP","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8466","layer":4},{"info":"number node, value=1627","layer":4},{"info":"compute binary expreesion, left_input=8466, right_input=1627, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6849","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2128","layer":3},{"info":"compute binary expreesion, left_input=6849, right_input=2128, 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=6849","layer":2},{"info":"compute unary expreesion, input=6849, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-20547","layer":1},{"info":"number node, value=2459","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=5009, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12317131","layer":3},{"info":"number node, value=5989","layer":4},{"info":"number node, value=3344","layer":4},{"info":"compute binary expreesion, left_input=5989, right_input=3344, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5989","layer":3},{"info":"compute binary expreesion, left_input=12317131, right_input=5989, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3747","layer":2},{"info":"number node, value=1036","layer":4},{"info":"compute unary expreesion, input=1036, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=3747, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-20547, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(∃⊬2112⨰∃⊬65B)⨪↰⇹(∃⊬428⊭∹↮))⋝⋈⪟(∃⊬99B*∃⊬1391)⪛(∃⊬1765⋝⋈⪟∃⊬D10)⪘⫢((∂∃⊬40C)↛⩡⫤)=NaN","reverse_text":"NaN=(⊄⩳↩(∃⊬2112⨰∃⊬65B)⨪↰⇹(∃⊬428⊭∹↮))⋝⋈⪟(∃⊬99B*∃⊬1391)⪛(∃⊬1765⋝⋈⪟∃⊬D10)⪘⫢((∂∃⊬40C)↛⩡⫤)","cot":[{"info":"∃⊬2112⨰∃⊬65B=∃⊬1AC1","layer":3},{"info":"∃⊬428⊭∹↮=∃⊬850","layer":3},{"info":"∃⊬1AC1⨪↰⇹∃⊬850=∃⊬1AC1","layer":2},{"info":"⊄⩳↩∃⊬1AC1=∃⊬-5043","layer":1},{"info":"∃⊬99B*∃⊬1391=∃⊬BBF1CB","layer":3},{"info":"∃⊬1765⋝⋈⪟∃⊬D10=∃⊬1765","layer":3},{"info":"∃⊬BBF1CB⪛∃⊬1765=∃⊬EA3","layer":2},{"info":"∂∃⊬40C=NaN","layer":3},{"info":"NaN↛⩡⫤=NaN","layer":2},{"info":"∃⊬EA3⪘⫢NaN=NaN","layer":1},{"info":"∃⊬-5043⋝⋈⪟NaN=NaN","layer":0}]}
{"id":738,"expression_no_base_symbol":"(≤/(($3579$↙$1657$)∸))⋳⪒(($1959$⨸⪁$1011$)⨰($1334$⋳⪒$1705$)⨽($4300$⋫)⨪↰⇹($2356$⨓$1695$))","expression":"(≤/((∃⊬DFB↙∃⊬679)∸))⋳⪒((∃⊬7A7⨸⪁∃⊬3F3)⨰(∃⊬536⋳⪒∃⊬6A9)⨽(∃⊬10CC⋫)⨪↰⇹(∃⊬934⨓∃⊬69F))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17445,"operation_count":11,"complexity_ratio":1585.909090909091,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3579,"base":16},"right_expr":{"type":"numeric_atoms","value":1657,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1959,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1334,"base":16},"right_expr":{"type":"numeric_atoms","value":1705,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":4300,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2356,"base":16},"right_expr":{"type":"numeric_atoms","value":1695,"base":16}}}}},"used_operators":["12rbrZMWeM","eLAdDNolq6","o20kRiQErp","yyfyN0ffXY","8HhzD0ZcuI","eewbuw0ToL","g55IO6H4Gj","tmPS8pqC7x","JL8yIekQnl","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","tmPS8pqC7x","tmPS8pqC7x","DpFCA1CohY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","tmPS8pqC7x","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬4F97475","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3579","layer":4},{"info":"number node, value=1657","layer":4},{"info":"compute binary expreesion, left_input=3579, right_input=1657, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4971","layer":3},{"info":"compute unary expreesion, input=-4971, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute unary expreesion, input=177, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=307","layer":1},{"info":"number node, value=1959","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=1959, right_input=1011, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=5940","layer":3},{"info":"number node, value=1334","layer":4},{"info":"number node, value=1705","layer":4},{"info":"compute binary expreesion, left_input=1334, right_input=1705, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=676","layer":3},{"info":"compute binary expreesion, left_input=5940, right_input=676, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=5274","layer":2},{"info":"number node, value=4300","layer":4},{"info":"compute unary expreesion, input=4300, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=4300","layer":3},{"info":"number node, value=2356","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=1695, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1698","layer":3},{"info":"compute binary expreesion, left_input=4300, right_input=-1698, 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=4300","layer":2},{"info":"compute binary expreesion, left_input=5274, right_input=4300, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-83456814","layer":1},{"info":"compute binary expreesion, left_input=307, right_input=-83456814, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=83457141","layer":0}],"base":16,"result_base":16,"text":"(≤/((∃⊬DFB↙∃⊬679)∸))⋳⪒((∃⊬7A7⨸⪁∃⊬3F3)⨰(∃⊬536⋳⪒∃⊬6A9)⨽(∃⊬10CC⋫)⨪↰⇹(∃⊬934⨓∃⊬69F))=∃⊬4F97475","reverse_text":"∃⊬4F97475=(≤/((∃⊬DFB↙∃⊬679)∸))⋳⪒((∃⊬7A7⨸⪁∃⊬3F3)⨰(∃⊬536⋳⪒∃⊬6A9)⨽(∃⊬10CC⋫)⨪↰⇹(∃⊬934⨓∃⊬69F))","cot":[{"info":"∃⊬DFB↙∃⊬679=∃⊬-136B","layer":3},{"info":"∃⊬-136B∸=∃⊬B1","layer":2},{"info":"≤/∃⊬B1=∃⊬133","layer":1},{"info":"∃⊬7A7⨸⪁∃⊬3F3=∃⊬1734","layer":3},{"info":"∃⊬536⋳⪒∃⊬6A9=∃⊬2A4","layer":3},{"info":"∃⊬1734⨰∃⊬2A4=∃⊬149A","layer":2},{"info":"∃⊬10CC⋫=∃⊬10CC","layer":3},{"info":"∃⊬934⨓∃⊬69F=∃⊬-6A2","layer":3},{"info":"∃⊬10CC⨪↰⇹∃⊬-6A2=∃⊬10CC","layer":2},{"info":"∃⊬149A⨽∃⊬10CC=∃⊬-4F9732E","layer":1},{"info":"∃⊬133⋳⪒∃⊬-4F9732E=∃⊬4F97475","layer":0}]}
{"id":739,"expression_no_base_symbol":"⨑⩽⪐(≉$6146$⨎$3119$⨐⩸⫘($3108$↺$1583$))","expression":"⨑⩽⪐(≉∃⊬1802⨎∃⊬C2F⨐⩸⫘(∃⊬C24↺∃⊬62F))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":12,"operation_count":5,"complexity_ratio":2.4,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6146,"base":16},"right_expr":{"type":"numeric_atoms","value":3119,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3108,"base":16},"right_expr":{"type":"numeric_atoms","value":1583,"base":16}}}}},"used_operators":["AF7qkfDlqP","e1ybzncUwg","fu6greOZ01","rJVOvQCfKK","7j4O788W3g"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6146","layer":4},{"info":"number node, value=3119","layer":4},{"info":"compute binary expreesion, left_input=6146, right_input=3119, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3119","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=1583","layer":4},{"info":"compute binary expreesion, left_input=3108, 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":3},{"info":"compute binary expreesion, left_input=3119, right_input=1583, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , 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":"⨑⩽⪐(≉∃⊬1802⨎∃⊬C2F⨐⩸⫘(∃⊬C24↺∃⊬62F))=NaN","reverse_text":"NaN=⨑⩽⪐(≉∃⊬1802⨎∃⊬C2F⨐⩸⫘(∃⊬C24↺∃⊬62F))","cot":[{"info":"∃⊬1802⨎∃⊬C2F=∃⊬C2F","layer":3},{"info":"∃⊬C24↺∃⊬62F=∃⊬62F","layer":3},{"info":"∃⊬C2F⨐⩸⫘∃⊬62F=NaN","layer":2},{"info":"≉NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":740,"expression_no_base_symbol":"((≤/($1713$⇼⇔∾$1524$))+($2256$≫≃)+⇶⊼$3878$↬$2278$)⩨($3354$⪛$1212$⩤)⨳⩥⨓(($2853$⩠)+$1123$⋥≓≎$1437$)","expression":"((≤/(∃⊬6B1⇼⇔∾∃⊬5F4))+(∃⊬8D0≫≃)+⇶⊼∃⊬F26↬∃⊬8E6)⩨(∃⊬D1A⪛∃⊬4BC⩤)⨳⩥⨓((∃⊬B25⩠)+∃⊬463⋥≓≎∃⊬59D)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":49,"operation_count":13,"complexity_ratio":3.769230769230769,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1713,"base":16},"right_expr":{"type":"numeric_atoms","value":1524,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2256,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3878,"base":16},"right_expr":{"type":"numeric_atoms","value":2278,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3354,"base":16},"right_expr":{"type":"numeric_atoms","value":1212,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2853,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1123,"base":16},"right_expr":{"type":"numeric_atoms","value":1437,"base":16}}}}},"used_operators":["2DlMacCsIx","W4YGzv6Whe","eLAdDNolq6","tifHPKVTfV","TpPTUOHfaN","X99M06cbEe","B5M0gjZbta","nCS4ZIUYfx","Z2TMIBDE3Q","uFcxV4UQCh","sJAwomhLZr","Qy55tPpLXF"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1713","layer":4},{"info":"number node, value=1524","layer":4},{"info":"compute binary expreesion, left_input=1713, right_input=1524, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-189","layer":3},{"info":"compute unary expreesion, input=-189, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=673","layer":2},{"info":"number node, value=2256","layer":4},{"info":"compute unary expreesion, input=2256, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5913","layer":3},{"info":"number node, value=3878","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=3878, right_input=2278, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5913, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=673, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3354","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3354, right_input=1212, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=930","layer":3},{"info":"compute unary expreesion, input=930, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-930","layer":2},{"info":"number node, value=2853","layer":4},{"info":"compute unary expreesion, input=2853, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1123","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=1123, right_input=1437, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1784","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=1784, op_id = W4YGzv6Whe binary_op_definition= 'None', output=1784","layer":2},{"info":"compute binary expreesion, left_input=-930, right_input=1784, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2714","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2714, 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":"((≤/(∃⊬6B1⇼⇔∾∃⊬5F4))+(∃⊬8D0≫≃)+⇶⊼∃⊬F26↬∃⊬8E6)⩨(∃⊬D1A⪛∃⊬4BC⩤)⨳⩥⨓((∃⊬B25⩠)+∃⊬463⋥≓≎∃⊬59D)=NaN","reverse_text":"NaN=((≤/(∃⊬6B1⇼⇔∾∃⊬5F4))+(∃⊬8D0≫≃)+⇶⊼∃⊬F26↬∃⊬8E6)⩨(∃⊬D1A⪛∃⊬4BC⩤)⨳⩥⨓((∃⊬B25⩠)+∃⊬463⋥≓≎∃⊬59D)","cot":[{"info":"∃⊬6B1⇼⇔∾∃⊬5F4=∃⊬-BD","layer":3},{"info":"≤/∃⊬-BD=∃⊬2A1","layer":2},{"info":"∃⊬8D0≫≃=∃⊬1719","layer":3},{"info":"∃⊬F26↬∃⊬8E6=NaN","layer":3},{"info":"∃⊬1719+⇶⊼NaN=NaN","layer":2},{"info":"∃⊬2A1+NaN=NaN","layer":1},{"info":"∃⊬D1A⪛∃⊬4BC=∃⊬3A2","layer":3},{"info":"∃⊬3A2⩤=∃⊬-3A2","layer":2},{"info":"∃⊬B25⩠=∃⊬0","layer":3},{"info":"∃⊬463⋥≓≎∃⊬59D=∃⊬6F8","layer":3},{"info":"∃⊬0+∃⊬6F8=∃⊬6F8","layer":2},{"info":"∃⊬-3A2⨳⩥⨓∃⊬6F8=∃⊬A9A","layer":1},{"info":"NaN⩨∃⊬A9A=NaN","layer":0}]}
{"id":741,"expression_no_base_symbol":"($4039$⪛$1388$⇷(≤/$1064$)⩨(($7171$⊭∹↮)-$2277$⊉≛↸$2650$))⩚⊴⇥(($5167$⊭↱$2201$)⨓($1199$-$1331$)⨳⩥⨓(≉(∂$1594$)))","expression":"(∃⊬FC7⪛∃⊬56C⇷(≤/∃⊬428)⩨((∃⊬1C03⊭∹↮)-∃⊬8E5⊉≛↸∃⊬A5A))⩚⊴⇥((∃⊬142F⊭↱∃⊬899)⨓(∃⊬4AF-∃⊬533)⨳⩥⨓(≉(∂∃⊬63A)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17862,"operation_count":14,"complexity_ratio":1275.857142857143,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4039,"base":16},"right_expr":{"type":"numeric_atoms","value":1388,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1064,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7171,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2277,"base":16},"right_expr":{"type":"numeric_atoms","value":2650,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5167,"base":16},"right_expr":{"type":"numeric_atoms","value":2201,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1199,"base":16},"right_expr":{"type":"numeric_atoms","value":1331,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1594,"base":16}}}}},"used_operators":["NTOWxs364D","2DlMacCsIx","mp7IySMOzn","uFcxV4UQCh","eLAdDNolq6","rysDP5nf3Z","xNBdhnnwKq","DZ8iAZOCBD","nCS4ZIUYfx","3ViojmjbAp","COABgblf1C","e1ybzncUwg","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4039","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=4039, right_input=1388, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1263","layer":3},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-580","layer":3},{"info":"compute binary expreesion, left_input=1263, right_input=-580, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=7171","layer":4},{"info":"compute unary expreesion, input=7171, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=14342","layer":3},{"info":"number node, value=2277","layer":4},{"info":"number node, value=2650","layer":4},{"info":"compute binary expreesion, left_input=2277, right_input=2650, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4554","layer":3},{"info":"compute binary expreesion, left_input=14342, right_input=4554, op_id = rysDP5nf3Z binary_op_definition= 'None', output=9788","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9788, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=5167","layer":4},{"info":"number node, value=2201","layer":4},{"info":"compute binary expreesion, left_input=5167, right_input=2201, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5927","layer":3},{"info":"number node, value=1199","layer":4},{"info":"number node, value=1331","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=1331, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-132","layer":3},{"info":"compute binary expreesion, left_input=-5927, right_input=-132, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=129","layer":2},{"info":"number node, value=1594","layer":4},{"info":"compute unary expreesion, input=1594, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=129, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', 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":"(∃⊬FC7⪛∃⊬56C⇷(≤/∃⊬428)⩨((∃⊬1C03⊭∹↮)-∃⊬8E5⊉≛↸∃⊬A5A))⩚⊴⇥((∃⊬142F⊭↱∃⊬899)⨓(∃⊬4AF-∃⊬533)⨳⩥⨓(≉(∂∃⊬63A)))=NaN","reverse_text":"NaN=(∃⊬FC7⪛∃⊬56C⇷(≤/∃⊬428)⩨((∃⊬1C03⊭∹↮)-∃⊬8E5⊉≛↸∃⊬A5A))⩚⊴⇥((∃⊬142F⊭↱∃⊬899)⨓(∃⊬4AF-∃⊬533)⨳⩥⨓(≉(∂∃⊬63A)))","cot":[{"info":"∃⊬FC7⪛∃⊬56C=∃⊬4EF","layer":3},{"info":"≤/∃⊬428=∃⊬-244","layer":3},{"info":"∃⊬4EF⇷∃⊬-244=NaN","layer":2},{"info":"∃⊬1C03⊭∹↮=∃⊬3806","layer":3},{"info":"∃⊬8E5⊉≛↸∃⊬A5A=∃⊬11CA","layer":3},{"info":"∃⊬3806-∃⊬11CA=∃⊬263C","layer":2},{"info":"NaN⩨∃⊬263C=NaN","layer":1},{"info":"∃⊬142F⊭↱∃⊬899=∃⊬-1727","layer":3},{"info":"∃⊬4AF-∃⊬533=∃⊬-84","layer":3},{"info":"∃⊬-1727⨓∃⊬-84=∃⊬81","layer":2},{"info":"∂∃⊬63A=NaN","layer":3},{"info":"≉NaN=NaN","layer":2},{"info":"∃⊬81⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":742,"expression_no_base_symbol":"+⊝⨔(($1668$≫≃)⫥∨⫟($1641$⊠≄⫣)⪨≂(⨰⫟⨤($8890$%$3403$)))","expression":"+⊝⨔((∃⊬684≫≃)⫥∨⫟(∃⊬669⊠≄⫣)⪨≂(⨰⫟⨤(∃⊬22BA%∃⊬D4B)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":7687,"operation_count":7,"complexity_ratio":1098.142857142857,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1668,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1641,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8890,"base":16},"right_expr":{"type":"numeric_atoms","value":3403,"base":16}}}}},"used_operators":["DhbWaqg5eL","sdazOOVcIp","KYD54nUTWz","X99M06cbEe","DIvbN7qnHd","Tw270M8GLb","k8jYdgA6NY"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rysDP5nf3Z"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1668","layer":4},{"info":"compute unary expreesion, input=1668, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4737","layer":3},{"info":"number node, value=1641","layer":4},{"info":"compute unary expreesion, input=1641, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=4737, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=8890","layer":4},{"info":"number node, value=3403","layer":4},{"info":"compute binary expreesion, left_input=8890, right_input=3403, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2084","layer":3},{"info":"compute unary expreesion, input=2084, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"+⊝⨔((∃⊬684≫≃)⫥∨⫟(∃⊬669⊠≄⫣)⪨≂(⨰⫟⨤(∃⊬22BA%∃⊬D4B)))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔((∃⊬684≫≃)⫥∨⫟(∃⊬669⊠≄⫣)⪨≂(⨰⫟⨤(∃⊬22BA%∃⊬D4B)))","cot":[{"info":"∃⊬684≫≃=∃⊬1281","layer":3},{"info":"∃⊬669⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬1281⫥∨⫟∃⊬0=NaN","layer":2},{"info":"∃⊬22BA%∃⊬D4B=∃⊬824","layer":3},{"info":"⨰⫟⨤∃⊬824=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
{"id":743,"expression_no_base_symbol":"((⪲⇎$1132$)⋝⋈⪟($2916$≭$2541$)⩨$1000$⨰$7218$⨎($6231$⩤))⊭∹↮","expression":"((⪲⇎∃⊬46C)⋝⋈⪟(∃⊬B64≭∃⊬9ED)⩨∃⊬3E8⨰∃⊬1C32⨎(∃⊬1857⩤))⊭∹↮","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":24,"operation_count":8,"complexity_ratio":3.0,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1132,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2916,"base":16},"right_expr":{"type":"numeric_atoms","value":2541,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1000,"base":16},"right_expr":{"type":"numeric_atoms","value":7218,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6231,"base":16}}}}},"used_operators":["xNBdhnnwKq","2DlMacCsIx","2DDjHMKMc0","XPYlsWDdGa","rxpJgHHUmx","rJVOvQCfKK","eewbuw0ToL","Z2TMIBDE3Q"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1132","layer":4},{"info":"compute unary expreesion, input=1132, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2264","layer":3},{"info":"number node, value=2916","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=2916, right_input=2541, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2264, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1000","layer":4},{"info":"number node, value=7218","layer":4},{"info":"compute binary expreesion, left_input=1000, right_input=7218, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6208","layer":3},{"info":"number node, value=6231","layer":4},{"info":"compute unary expreesion, input=6231, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6231","layer":3},{"info":"compute binary expreesion, left_input=-6208, right_input=-6231, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6231","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-6231, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪲⇎∃⊬46C)⋝⋈⪟(∃⊬B64≭∃⊬9ED)⩨∃⊬3E8⨰∃⊬1C32⨎(∃⊬1857⩤))⊭∹↮=NaN","reverse_text":"NaN=((⪲⇎∃⊬46C)⋝⋈⪟(∃⊬B64≭∃⊬9ED)⩨∃⊬3E8⨰∃⊬1C32⨎(∃⊬1857⩤))⊭∹↮","cot":[{"info":"⪲⇎∃⊬46C=∃⊬8D8","layer":3},{"info":"∃⊬B64≭∃⊬9ED=NaN","layer":3},{"info":"∃⊬8D8⋝⋈⪟NaN=NaN","layer":2},{"info":"∃⊬3E8⨰∃⊬1C32=∃⊬-1840","layer":3},{"info":"∃⊬1857⩤=∃⊬-1857","layer":3},{"info":"∃⊬-1840⨎∃⊬-1857=∃⊬-1857","layer":2},{"info":"NaN⩨∃⊬-1857=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":744,"expression_no_base_symbol":"(↥(($6610$⨵⪆$2050$)⊉≛↸$2492$≧⫂∧$8612$))⨓((↔($2902$⪨≂$1221$))/($6127$⪨≂$5892$)⋥≓≎(⇁⨣⪵$2847$))","expression":"(↥((∃⊬19D2⨵⪆∃⊬802)⊉≛↸∃⊬9BC≧⫂∧∃⊬21A4))⨓((↔(∃⊬B56⪨≂∃⊬4C5))/(∃⊬17EF⪨≂∃⊬1704)⋥≓≎(⇁⨣⪵∃⊬B1F))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":11,"complexity_ratio":3.6363636363636362,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6610,"base":16},"right_expr":{"type":"numeric_atoms","value":2050,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2492,"base":16},"right_expr":{"type":"numeric_atoms","value":8612,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2902,"base":16},"right_expr":{"type":"numeric_atoms","value":1221,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6127,"base":16},"right_expr":{"type":"numeric_atoms","value":5892,"base":16}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2847,"base":16}}}}},"used_operators":["3ViojmjbAp","A8NUZmVepG","DZ8iAZOCBD","2DQ55sFlQl","Ph9nP6C5qx","XhwjNDsVaA","ruOEQAzv1W","sdazOOVcIp","Qy55tPpLXF","inkyxCbjAn"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6610","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=6610, right_input=2050, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2492","layer":4},{"info":"number node, value=8612","layer":4},{"info":"compute binary expreesion, left_input=2492, right_input=8612, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=8139","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=8139, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=320","layer":2},{"info":"compute unary expreesion, input=320, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":1},{"info":"number node, value=2902","layer":4},{"info":"number node, value=1221","layer":4},{"info":"compute binary expreesion, left_input=2902, right_input=1221, 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=3464","layer":3},{"info":"compute unary expreesion, input=3464, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3191","layer":2},{"info":"number node, value=6127","layer":4},{"info":"number node, value=5892","layer":4},{"info":"compute binary expreesion, left_input=6127, right_input=5892, 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=572","layer":3},{"info":"number node, value=2847","layer":4},{"info":"compute unary expreesion, input=2847, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=572, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3191, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=14, 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":"(↥((∃⊬19D2⨵⪆∃⊬802)⊉≛↸∃⊬9BC≧⫂∧∃⊬21A4))⨓((↔(∃⊬B56⪨≂∃⊬4C5))/(∃⊬17EF⪨≂∃⊬1704)⋥≓≎(⇁⨣⪵∃⊬B1F))=NaN","reverse_text":"NaN=(↥((∃⊬19D2⨵⪆∃⊬802)⊉≛↸∃⊬9BC≧⫂∧∃⊬21A4))⨓((↔(∃⊬B56⪨≂∃⊬4C5))/(∃⊬17EF⪨≂∃⊬1704)⋥≓≎(⇁⨣⪵∃⊬B1F))","cot":[{"info":"∃⊬19D2⨵⪆∃⊬802=∃⊬A0","layer":3},{"info":"∃⊬9BC≧⫂∧∃⊬21A4=∃⊬1FCB","layer":3},{"info":"∃⊬A0⊉≛↸∃⊬1FCB=∃⊬140","layer":2},{"info":"↥∃⊬140=∃⊬E","layer":1},{"info":"∃⊬B56⪨≂∃⊬4C5=∃⊬D88","layer":3},{"info":"↔∃⊬D88=∃⊬-C77","layer":2},{"info":"∃⊬17EF⪨≂∃⊬1704=∃⊬23C","layer":3},{"info":"⇁⨣⪵∃⊬B1F=NaN","layer":3},{"info":"∃⊬23C⋥≓≎NaN=NaN","layer":2},{"info":"∃⊬-C77/NaN=NaN","layer":1},{"info":"∃⊬E⨓NaN=NaN","layer":0}]}
{"id":745,"expression_no_base_symbol":"(⋗⩬⋾($3610$⪨≂$1327$)⨟⋌⩍($4291$⩚⊴⇥$8036$))⊭∹↮","expression":"(⋗⩬⋾(∃⊬E1A⪨≂∃⊬52F)⨟⋌⩍(∃⊬10C3⩚⊴⇥∃⊬1F64))⊭∹↮","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":18,"operation_count":5,"complexity_ratio":3.6,"tree":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3610,"base":16},"right_expr":{"type":"numeric_atoms","value":1327,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4291,"base":16},"right_expr":{"type":"numeric_atoms","value":8036,"base":16}}}}},"used_operators":["xNBdhnnwKq","DpFCA1CohY","rGHVDoGpnC","sdazOOVcIp","NTOWxs364D"],"dependent_operators":["2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3610","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=3610, right_input=1327, 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=4668","layer":3},{"info":"number node, value=4291","layer":4},{"info":"number node, value=8036","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=8036, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12448","layer":3},{"info":"compute binary expreesion, left_input=4668, right_input=-12448, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , 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":"(⋗⩬⋾(∃⊬E1A⪨≂∃⊬52F)⨟⋌⩍(∃⊬10C3⩚⊴⇥∃⊬1F64))⊭∹↮=NaN","reverse_text":"NaN=(⋗⩬⋾(∃⊬E1A⪨≂∃⊬52F)⨟⋌⩍(∃⊬10C3⩚⊴⇥∃⊬1F64))⊭∹↮","cot":[{"info":"∃⊬E1A⪨≂∃⊬52F=∃⊬123C","layer":3},{"info":"∃⊬10C3⩚⊴⇥∃⊬1F64=∃⊬-30A0","layer":3},{"info":"∃⊬123C⨟⋌⩍∃⊬-30A0=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⊭∹↮=NaN","layer":0}]}
{"id":746,"expression_no_base_symbol":"(($4356$⊪)+$1373$⨸⪁$2825$)⩨$7899$∑⇟⊟$2542$⨰($7741$⊭∹↮)+((≦∁$3798$*$4436$)⊦⊿)","expression":"((∃⊬1104⊪)+∃⊬55D⨸⪁∃⊬B09)⩨∃⊬1EDB∑⇟⊟∃⊬9EE⨰(∃⊬1E3D⊭∹↮)+((≦∁∃⊬ED6*∃⊬1154)⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3860,"operation_count":11,"complexity_ratio":350.90909090909093,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4356,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1373,"base":16},"right_expr":{"type":"numeric_atoms","value":2825,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7899,"base":16},"right_expr":{"type":"numeric_atoms","value":2542,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7741,"base":16}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3798,"base":16},"right_expr":{"type":"numeric_atoms","value":4436,"base":16}}}}},"used_operators":["W4YGzv6Whe","2DlMacCsIx","zVYPLywUTj","g55IO6H4Gj","eewbuw0ToL","U7g4x0WXJJ","xNBdhnnwKq","14qkJME0vr","9ICcGScMcE","9HNa5Wba9A"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4356","layer":4},{"info":"compute unary expreesion, input=4356, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1373","layer":4},{"info":"number node, value=2825","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=2825, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8396","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8396, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8396","layer":2},{"info":"number node, value=7899","layer":4},{"info":"number node, value=2542","layer":4},{"info":"compute binary expreesion, left_input=7899, right_input=2542, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=7741","layer":4},{"info":"compute unary expreesion, input=7741, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15482","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15482, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=8396, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=3798","layer":4},{"info":"number node, value=4436","layer":4},{"info":"compute binary expreesion, left_input=3798, right_input=4436, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16847928","layer":3},{"info":"compute unary expreesion, input=16847928, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=16847928","layer":2},{"info":"compute unary expreesion, input=16847928, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-50543863","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-50543863, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1104⊪)+∃⊬55D⨸⪁∃⊬B09)⩨∃⊬1EDB∑⇟⊟∃⊬9EE⨰(∃⊬1E3D⊭∹↮)+((≦∁∃⊬ED6*∃⊬1154)⊦⊿)=NaN","reverse_text":"NaN=((∃⊬1104⊪)+∃⊬55D⨸⪁∃⊬B09)⩨∃⊬1EDB∑⇟⊟∃⊬9EE⨰(∃⊬1E3D⊭∹↮)+((≦∁∃⊬ED6*∃⊬1154)⊦⊿)","cot":[{"info":"∃⊬1104⊪=∃⊬0","layer":3},{"info":"∃⊬55D⨸⪁∃⊬B09=∃⊬20CC","layer":3},{"info":"∃⊬0+∃⊬20CC=∃⊬20CC","layer":2},{"info":"∃⊬1EDB∑⇟⊟∃⊬9EE=NaN","layer":3},{"info":"∃⊬1E3D⊭∹↮=∃⊬3C7A","layer":3},{"info":"NaN⨰∃⊬3C7A=NaN","layer":2},{"info":"∃⊬20CC⩨NaN=NaN","layer":1},{"info":"∃⊬ED6*∃⊬1154=∃⊬1011438","layer":3},{"info":"≦∁∃⊬1011438=∃⊬1011438","layer":2},{"info":"∃⊬1011438⊦⊿=∃⊬-3033CF7","layer":1},{"info":"NaN+∃⊬-3033CF7=NaN","layer":0}]}
{"id":747,"expression_no_base_symbol":"(≤/$1886$∼$1088$⋝⋈⪟$5129$⪛$3470$)*($3622$↙$3824$⊭↱$5066$⋥≓≎$1685$⊭↱(⊙↵-(∥⊫$1329$)))","expression":"(≤/∃⊬75E∼∃⊬440⋝⋈⪟∃⊬1409⪛∃⊬D8E)*(∃⊬E26↙∃⊬EF0⊭↱∃⊬13CA⋥≓≎∃⊬695⊭↱(⊙↵-(∥⊫∃⊬531)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6137,"operation_count":11,"complexity_ratio":557.9090909090909,"tree":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1886,"base":16},"right_expr":{"type":"numeric_atoms","value":1088,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5129,"base":16},"right_expr":{"type":"numeric_atoms","value":3470,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3622,"base":16},"right_expr":{"type":"numeric_atoms","value":3824,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5066,"base":16},"right_expr":{"type":"numeric_atoms","value":1685,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1329,"base":16}}}}},"used_operators":["9HNa5Wba9A","eLAdDNolq6","2DDjHMKMc0","DyGG3AbaNP","uFcxV4UQCh","COABgblf1C","yyfyN0ffXY","Qy55tPpLXF","oWn0xqSxBt","P8v4zCKN1o"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1886","layer":4},{"info":"number node, value=1088","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1088, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=5129","layer":4},{"info":"number node, value=3470","layer":4},{"info":"compute binary expreesion, left_input=5129, right_input=3470, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1659","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1659, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=3622","layer":4},{"info":"number node, value=3824","layer":4},{"info":"compute binary expreesion, left_input=3622, right_input=3824, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-11472","layer":3},{"info":"number node, value=5066","layer":4},{"info":"number node, value=1685","layer":4},{"info":"compute binary expreesion, left_input=5066, right_input=1685, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1663","layer":3},{"info":"compute binary expreesion, left_input=-11472, right_input=-1663, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=19623","layer":2},{"info":"number node, value=1329","layer":4},{"info":"compute unary expreesion, input=1329, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2197","layer":3},{"info":"compute unary expreesion, input=2197, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=19623, right_input=-1, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-39243","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-39243, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/∃⊬75E∼∃⊬440⋝⋈⪟∃⊬1409⪛∃⊬D8E)*(∃⊬E26↙∃⊬EF0⊭↱∃⊬13CA⋥≓≎∃⊬695⊭↱(⊙↵-(∥⊫∃⊬531)))=NaN","reverse_text":"NaN=(≤/∃⊬75E∼∃⊬440⋝⋈⪟∃⊬1409⪛∃⊬D8E)*(∃⊬E26↙∃⊬EF0⊭↱∃⊬13CA⋥≓≎∃⊬695⊭↱(⊙↵-(∥⊫∃⊬531)))","cot":[{"info":"∃⊬75E∼∃⊬440=NaN","layer":3},{"info":"∃⊬1409⪛∃⊬D8E=∃⊬67B","layer":3},{"info":"NaN⋝⋈⪟∃⊬67B=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"∃⊬E26↙∃⊬EF0=∃⊬-2CD0","layer":3},{"info":"∃⊬13CA⋥≓≎∃⊬695=∃⊬-67F","layer":3},{"info":"∃⊬-2CD0⊭↱∃⊬-67F=∃⊬4CA7","layer":2},{"info":"∥⊫∃⊬531=∃⊬895","layer":3},{"info":"⊙↵-∃⊬895=∃⊬-1","layer":2},{"info":"∃⊬4CA7⊭↱∃⊬-1=∃⊬-994B","layer":1},{"info":"NaN*∃⊬-994B=NaN","layer":0}]}
{"id":748,"expression_no_base_symbol":"(↯⪼(($1358$≧⫂∧$2375$)⇷($3659$⫩⊇)))⫡⨏($6430$⊘)⨳⩥⨓($3507$⫡⨏$4092$)∲⫓($2330$⩷∴$1238$↛⩡⫤)","expression":"(↯⪼((∃⊬54E≧⫂∧∃⊬947)⇷(∃⊬E4B⫩⊇)))⫡⨏(∃⊬191E⊘)⨳⩥⨓(∃⊬DB3⫡⨏∃⊬FFC)∲⫓(∃⊬91A⩷∴∃⊬4D6↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":33303,"operation_count":11,"complexity_ratio":3027.5454545454545,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1358,"base":16},"right_expr":{"type":"numeric_atoms","value":2375,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":3659,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6430,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3507,"base":16},"right_expr":{"type":"numeric_atoms","value":4092,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2330,"base":16},"right_expr":{"type":"numeric_atoms","value":1238,"base":16}}}}},"used_operators":["QMFrweE19q","8jW3W4yZS5","mp7IySMOzn","Ph9nP6C5qx","BjRHVeLaeN","i8ToyICDmI","nCS4ZIUYfx","gu96TGCTMs","FU0Cs4j7VP","9FxExcQeMw"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z"],"result":"∃⊬D1B2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1358","layer":4},{"info":"number node, value=2375","layer":4},{"info":"compute binary expreesion, left_input=1358, right_input=2375, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1902","layer":3},{"info":"number node, value=3659","layer":4},{"info":"compute unary expreesion, input=3659, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-3617","layer":3},{"info":"compute binary expreesion, left_input=1902, right_input=-3617, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=6430","layer":4},{"info":"compute unary expreesion, input=6430, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=3507","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=3507, right_input=4092, 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=26502","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=26502, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=26502","layer":2},{"info":"number node, value=2330","layer":4},{"info":"number node, value=1238","layer":4},{"info":"compute binary expreesion, left_input=2330, right_input=1238, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=2152","layer":3},{"info":"compute unary expreesion, input=2152, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-321041","layer":2},{"info":"compute binary expreesion, left_input=26502, right_input=-321041, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=26502","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=26502, 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=53682","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬54E≧⫂∧∃⊬947)⇷(∃⊬E4B⫩⊇)))⫡⨏(∃⊬191E⊘)⨳⩥⨓(∃⊬DB3⫡⨏∃⊬FFC)∲⫓(∃⊬91A⩷∴∃⊬4D6↛⩡⫤)=∃⊬D1B2","reverse_text":"∃⊬D1B2=(↯⪼((∃⊬54E≧⫂∧∃⊬947)⇷(∃⊬E4B⫩⊇)))⫡⨏(∃⊬191E⊘)⨳⩥⨓(∃⊬DB3⫡⨏∃⊬FFC)∲⫓(∃⊬91A⩷∴∃⊬4D6↛⩡⫤)","cot":[{"info":"∃⊬54E≧⫂∧∃⊬947=∃⊬76E","layer":3},{"info":"∃⊬E4B⫩⊇=∃⊬-E21","layer":3},{"info":"∃⊬76E⇷∃⊬-E21=NaN","layer":2},{"info":"↯⪼NaN=∃⊬-15","layer":1},{"info":"∃⊬191E⊘=∃⊬0","layer":3},{"info":"∃⊬DB3⫡⨏∃⊬FFC=∃⊬6786","layer":3},{"info":"∃⊬0⨳⩥⨓∃⊬6786=∃⊬6786","layer":2},{"info":"∃⊬91A⩷∴∃⊬4D6=∃⊬868","layer":3},{"info":"∃⊬868↛⩡⫤=∃⊬-4E611","layer":2},{"info":"∃⊬6786∲⫓∃⊬-4E611=∃⊬6786","layer":1},{"info":"∃⊬-15⫡⨏∃⊬6786=∃⊬D1B2","layer":0}]}
{"id":749,"expression_no_base_symbol":"($3512$*$2707$⨸⪁(⨞⊢$2567$))⊴($2785$⪛$5524$⪄($3009$↪⪝))⫡⨏((↣≠⋷$1234$)%($1197$+$1558$))⫥∨⫟(≦∁$1964$)⋝⋈⪟$6880$∼$1935$","expression":"(∃⊬DB8*∃⊬A93⨸⪁(⨞⊢∃⊬A07))⊴(∃⊬AE1⪛∃⊬1594⪄(∃⊬BC1↪⪝))⫡⨏((↣≠⋷∃⊬4D2)%(∃⊬4AD+∃⊬616))⫥∨⫟(≦∁∃⊬7AC)⋝⋈⪟∃⊬1AE0∼∃⊬78F","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3824,"operation_count":15,"complexity_ratio":254.93333333333334,"tree":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3512,"base":16},"right_expr":{"type":"numeric_atoms","value":2707,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2567,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2785,"base":16},"right_expr":{"type":"numeric_atoms","value":5524,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":3009,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1234,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1197,"base":16},"right_expr":{"type":"numeric_atoms","value":1558,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1964,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":6880,"base":16},"right_expr":{"type":"numeric_atoms","value":1935,"base":16}}}}},"used_operators":["QMFrweE19q","Nsiff2A1zJ","g55IO6H4Gj","9HNa5Wba9A","xUOZtlo3hN","SUmda5xLS4","uFcxV4UQCh","l07mrZUIn9","KYD54nUTWz","k8jYdgA6NY","Asc51vEJeQ","W4YGzv6Whe","2DDjHMKMc0","9ICcGScMcE","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","9HNa5Wba9A","2DDjHMKMc0","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3512","layer":4},{"info":"number node, value=2707","layer":4},{"info":"compute binary expreesion, left_input=3512, right_input=2707, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9506984","layer":3},{"info":"number node, value=2567","layer":4},{"info":"compute unary expreesion, input=2567, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2741","layer":3},{"info":"compute binary expreesion, left_input=9506984, right_input=-2741, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=19008486","layer":2},{"info":"number node, value=2785","layer":4},{"info":"number node, value=5524","layer":4},{"info":"compute binary expreesion, left_input=2785, right_input=5524, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2785","layer":3},{"info":"number node, value=3009","layer":4},{"info":"compute unary expreesion, input=3009, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=184096638","layer":3},{"info":"compute binary expreesion, left_input=2785, right_input=184096638, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-736794821","layer":2},{"info":"compute binary expreesion, left_input=19008486, right_input=-736794821, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1197","layer":4},{"info":"number node, value=1558","layer":4},{"info":"compute binary expreesion, left_input=1197, right_input=1558, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2755","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2755, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1964","layer":4},{"info":"compute unary expreesion, input=1964, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1964","layer":3},{"info":"number node, value=6880","layer":4},{"info":"number node, value=1935","layer":4},{"info":"compute binary expreesion, left_input=6880, right_input=1935, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1964, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, 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 = 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":"(∃⊬DB8*∃⊬A93⨸⪁(⨞⊢∃⊬A07))⊴(∃⊬AE1⪛∃⊬1594⪄(∃⊬BC1↪⪝))⫡⨏((↣≠⋷∃⊬4D2)%(∃⊬4AD+∃⊬616))⫥∨⫟(≦∁∃⊬7AC)⋝⋈⪟∃⊬1AE0∼∃⊬78F=NaN","reverse_text":"NaN=(∃⊬DB8*∃⊬A93⨸⪁(⨞⊢∃⊬A07))⊴(∃⊬AE1⪛∃⊬1594⪄(∃⊬BC1↪⪝))⫡⨏((↣≠⋷∃⊬4D2)%(∃⊬4AD+∃⊬616))⫥∨⫟(≦∁∃⊬7AC)⋝⋈⪟∃⊬1AE0∼∃⊬78F","cot":[{"info":"∃⊬DB8*∃⊬A93=∃⊬9110A8","layer":3},{"info":"⨞⊢∃⊬A07=∃⊬-AB5","layer":3},{"info":"∃⊬9110A8⨸⪁∃⊬-AB5=∃⊬1220BE6","layer":2},{"info":"∃⊬AE1⪛∃⊬1594=∃⊬AE1","layer":3},{"info":"∃⊬BC1↪⪝=∃⊬AF9177E","layer":3},{"info":"∃⊬AE1⪄∃⊬AF9177E=∃⊬-2BEA98C5","layer":2},{"info":"∃⊬1220BE6⊴∃⊬-2BEA98C5=NaN","layer":1},{"info":"↣≠⋷∃⊬4D2=NaN","layer":3},{"info":"∃⊬4AD+∃⊬616=∃⊬AC3","layer":3},{"info":"NaN%∃⊬AC3=NaN","layer":2},{"info":"≦∁∃⊬7AC=∃⊬7AC","layer":3},{"info":"∃⊬1AE0∼∃⊬78F=NaN","layer":3},{"info":"∃⊬7AC⋝⋈⪟NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⫡⨏NaN=NaN","layer":0}]}
{"id":750,"expression_no_base_symbol":"((-$2168$)⨽$5854$⨎$3855$⨸⪁($2974$⩚⊴⇥$5334$)⨪↰⇹(↯⪼$2376$))⊴(((⇁⨣⪵$1347$)⫸⊐$2150$≭$1000$)⊘)","expression":"((-∃⊬878)⨽∃⊬16DE⨎∃⊬F0F⨸⪁(∃⊬B9E⩚⊴⇥∃⊬14D6)⨪↰⇹(↯⪼∃⊬948))⊴(((⇁⨣⪵∃⊬543)⫸⊐∃⊬866≭∃⊬3E8)⊘)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10679,"operation_count":12,"complexity_ratio":889.9166666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2168,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5854,"base":16},"right_expr":{"type":"numeric_atoms","value":3855,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2974,"base":16},"right_expr":{"type":"numeric_atoms","value":5334,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":2376,"base":16}}}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1347,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2150,"base":16},"right_expr":{"type":"numeric_atoms","value":1000,"base":16}}}}},"used_operators":["Nsiff2A1zJ","g55IO6H4Gj","8HhzD0ZcuI","t8gj7n24qd","rJVOvQCfKK","tmPS8pqC7x","NTOWxs364D","8jW3W4yZS5","gu96TGCTMs","mqXw5SEYmG","inkyxCbjAn","rxpJgHHUmx"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2168","layer":3},{"info":"number node, value=5854","layer":4},{"info":"number node, value=3855","layer":4},{"info":"compute binary expreesion, left_input=5854, right_input=3855, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3855","layer":3},{"info":"compute binary expreesion, left_input=-2168, right_input=3855, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-14110923","layer":2},{"info":"number node, value=2974","layer":4},{"info":"number node, value=5334","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=5334, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8429","layer":3},{"info":"number node, value=2376","layer":4},{"info":"compute unary expreesion, input=2376, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-8429, right_input=-21, 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=8429","layer":2},{"info":"compute binary expreesion, left_input=-14110923, right_input=8429, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-28204988","layer":1},{"info":"number node, value=1347","layer":4},{"info":"compute unary expreesion, input=1347, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=2150","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2150, right_input=1000, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-28204988, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((-∃⊬878)⨽∃⊬16DE⨎∃⊬F0F⨸⪁(∃⊬B9E⩚⊴⇥∃⊬14D6)⨪↰⇹(↯⪼∃⊬948))⊴(((⇁⨣⪵∃⊬543)⫸⊐∃⊬866≭∃⊬3E8)⊘)=NaN","reverse_text":"NaN=((-∃⊬878)⨽∃⊬16DE⨎∃⊬F0F⨸⪁(∃⊬B9E⩚⊴⇥∃⊬14D6)⨪↰⇹(↯⪼∃⊬948))⊴(((⇁⨣⪵∃⊬543)⫸⊐∃⊬866≭∃⊬3E8)⊘)","cot":[{"info":"-∃⊬878=∃⊬-878","layer":3},{"info":"∃⊬16DE⨎∃⊬F0F=∃⊬F0F","layer":3},{"info":"∃⊬-878⨽∃⊬F0F=∃⊬-D750CB","layer":2},{"info":"∃⊬B9E⩚⊴⇥∃⊬14D6=∃⊬-20ED","layer":3},{"info":"↯⪼∃⊬948=∃⊬-15","layer":3},{"info":"∃⊬-20ED⨪↰⇹∃⊬-15=∃⊬20ED","layer":2},{"info":"∃⊬-D750CB⨸⪁∃⊬20ED=∃⊬-1AE5FBC","layer":1},{"info":"⇁⨣⪵∃⊬543=NaN","layer":3},{"info":"∃⊬866≭∃⊬3E8=NaN","layer":3},{"info":"NaN⫸⊐NaN=NaN","layer":2},{"info":"NaN⊘=NaN","layer":1},{"info":"∃⊬-1AE5FBC⊴NaN=NaN","layer":0}]}
{"id":751,"expression_no_base_symbol":"(($6391$⪢$1328$⪄$2777$∼$1222$)≦≮≮)∀⇚≩(⋗⩬⋾(≦∁$6765$)≎⊠⪸($1091$↺$2563$))","expression":"((∃⊬18F7⪢∃⊬530⪄∃⊬AD9∼∃⊬4C6)≦≮≮)∀⇚≩(⋗⩬⋾(≦∁∃⊬1A6D)≎⊠⪸(∃⊬443↺∃⊬A03))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":85382,"operation_count":9,"complexity_ratio":9486.888888888889,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":6391,"base":16},"right_expr":{"type":"numeric_atoms","value":1328,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2777,"base":16},"right_expr":{"type":"numeric_atoms","value":1222,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6765,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":2563,"base":16}}}}},"used_operators":["LRNGc0VcxI","D4vGDi5EA2","SUmda5xLS4","dWAJyo7jo9","DyGG3AbaNP","DpFCA1CohY","bJkvcejdHO","9ICcGScMcE","7j4O788W3g"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","k8jYdgA6NY","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","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=6391","layer":4},{"info":"number node, value=1328","layer":4},{"info":"compute binary expreesion, left_input=6391, right_input=1328, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2777","layer":4},{"info":"number node, value=1222","layer":4},{"info":"compute binary expreesion, left_input=2777, right_input=1222, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute unary expreesion, input=3979, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11937","layer":1},{"info":"number node, value=6765","layer":4},{"info":"compute unary expreesion, input=6765, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6765","layer":3},{"info":"number node, value=1091","layer":4},{"info":"number node, value=2563","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=2563, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2563","layer":3},{"info":"compute binary expreesion, left_input=6765, right_input=2563, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1751662","layer":2},{"info":"compute unary expreesion, input=1751662, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-5254986","layer":1},{"info":"compute binary expreesion, left_input=-11937, right_input=-5254986, 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":"((∃⊬18F7⪢∃⊬530⪄∃⊬AD9∼∃⊬4C6)≦≮≮)∀⇚≩(⋗⩬⋾(≦∁∃⊬1A6D)≎⊠⪸(∃⊬443↺∃⊬A03))=NaN","reverse_text":"NaN=((∃⊬18F7⪢∃⊬530⪄∃⊬AD9∼∃⊬4C6)≦≮≮)∀⇚≩(⋗⩬⋾(≦∁∃⊬1A6D)≎⊠⪸(∃⊬443↺∃⊬A03))","cot":[{"info":"∃⊬18F7⪢∃⊬530=NaN","layer":3},{"info":"∃⊬AD9∼∃⊬4C6=NaN","layer":3},{"info":"NaN⪄NaN=∃⊬F8B","layer":2},{"info":"∃⊬F8B≦≮≮=∃⊬-2EA1","layer":1},{"info":"≦∁∃⊬1A6D=∃⊬1A6D","layer":3},{"info":"∃⊬443↺∃⊬A03=∃⊬A03","layer":3},{"info":"∃⊬1A6D≎⊠⪸∃⊬A03=∃⊬1ABA6E","layer":2},{"info":"⋗⩬⋾∃⊬1ABA6E=∃⊬-502F4A","layer":1},{"info":"∃⊬-2EA1∀⇚≩∃⊬-502F4A=NaN","layer":0}]}
{"id":752,"expression_no_base_symbol":"(($1645$⩨$6823$⊭↱$3934$⨽$2273$)⫸⊐(≦∁$5212$)⨐⩸⫘($1390$⋷$4846$))⨽((⪝⪂⫅$1177$)⨓($4583$⨐⩸⫘$1944$))⊴(($1059$↬$5711$)⩠)","expression":"((∃⊬66D⩨∃⊬1AA7⊭↱∃⊬F5E⨽∃⊬8E1)⫸⊐(≦∁∃⊬145C)⨐⩸⫘(∃⊬56E⋷∃⊬12EE))⨽((⪝⪂⫅∃⊬499)⨓(∃⊬11E7⨐⩸⫘∃⊬798))⊴((∃⊬423↬∃⊬164F)⩠)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5126,"operation_count":14,"complexity_ratio":366.14285714285717,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1645,"base":16},"right_expr":{"type":"numeric_atoms","value":6823,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3934,"base":16},"right_expr":{"type":"numeric_atoms","value":2273,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5212,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1390,"base":16},"right_expr":{"type":"numeric_atoms","value":4846,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":1177,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4583,"base":16},"right_expr":{"type":"numeric_atoms","value":1944,"base":16}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1059,"base":16},"right_expr":{"type":"numeric_atoms","value":5711,"base":16}}}}},"used_operators":["8HhzD0ZcuI","mqXw5SEYmG","COABgblf1C","2DlMacCsIx","fu6greOZ01","9ICcGScMcE","23Mk6UjR3U","Nsiff2A1zJ","3ViojmjbAp","XTarYq4gQB","sJAwomhLZr","B5M0gjZbta"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1645","layer":4},{"info":"number node, value=6823","layer":4},{"info":"compute binary expreesion, left_input=1645, right_input=6823, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=3934","layer":4},{"info":"number node, value=2273","layer":4},{"info":"compute binary expreesion, left_input=3934, right_input=2273, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-46434573","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=-46434573, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-92869117","layer":2},{"info":"number node, value=5212","layer":4},{"info":"compute unary expreesion, input=5212, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5212","layer":3},{"info":"number node, value=1390","layer":4},{"info":"number node, value=4846","layer":4},{"info":"compute binary expreesion, left_input=1390, right_input=4846, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8302","layer":3},{"info":"compute binary expreesion, left_input=5212, right_input=8302, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-92869117, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=1177","layer":4},{"info":"compute unary expreesion, input=1177, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-173019","layer":3},{"info":"number node, value=4583","layer":4},{"info":"number node, value=1944","layer":4},{"info":"compute binary expreesion, left_input=4583, right_input=1944, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-173019, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=5711","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=5711, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬66D⩨∃⊬1AA7⊭↱∃⊬F5E⨽∃⊬8E1)⫸⊐(≦∁∃⊬145C)⨐⩸⫘(∃⊬56E⋷∃⊬12EE))⨽((⪝⪂⫅∃⊬499)⨓(∃⊬11E7⨐⩸⫘∃⊬798))⊴((∃⊬423↬∃⊬164F)⩠)=NaN","reverse_text":"NaN=((∃⊬66D⩨∃⊬1AA7⊭↱∃⊬F5E⨽∃⊬8E1)⫸⊐(≦∁∃⊬145C)⨐⩸⫘(∃⊬56E⋷∃⊬12EE))⨽((⪝⪂⫅∃⊬499)⨓(∃⊬11E7⨐⩸⫘∃⊬798))⊴((∃⊬423↬∃⊬164F)⩠)","cot":[{"info":"∃⊬66D⩨∃⊬1AA7=∃⊬-C","layer":3},{"info":"∃⊬F5E⨽∃⊬8E1=∃⊬-2C4890D","layer":3},{"info":"∃⊬-C⊭↱∃⊬-2C4890D=∃⊬-58911FD","layer":2},{"info":"≦∁∃⊬145C=∃⊬145C","layer":3},{"info":"∃⊬56E⋷∃⊬12EE=∃⊬206E","layer":3},{"info":"∃⊬145C⨐⩸⫘∃⊬206E=NaN","layer":2},{"info":"∃⊬-58911FD⫸⊐NaN=∃⊬3C8","layer":1},{"info":"⪝⪂⫅∃⊬499=∃⊬-2A3DB","layer":3},{"info":"∃⊬11E7⨐⩸⫘∃⊬798=NaN","layer":3},{"info":"∃⊬-2A3DB⨓NaN=NaN","layer":2},{"info":"∃⊬423↬∃⊬164F=NaN","layer":3},{"info":"NaN⩠=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"∃⊬3C8⨽NaN=NaN","layer":0}]}
{"id":753,"expression_no_base_symbol":"(($1394$⩨$1758$-(⨞⊢$1033$))⨳⩥⨓($4369$-$1298$)⪮%⊝($4399$≧⫂∧$7188$))⊘","expression":"((∃⊬572⩨∃⊬6DE-(⨞⊢∃⊬409))⨳⩥⨓(∃⊬1111-∃⊬512)⪮%⊝(∃⊬112F≧⫂∧∃⊬1C14))⊘","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":8,"complexity_ratio":5.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1394,"base":16},"right_expr":{"type":"numeric_atoms","value":1758,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1033,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":4369,"base":16},"right_expr":{"type":"numeric_atoms","value":1298,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4399,"base":16},"right_expr":{"type":"numeric_atoms","value":7188,"base":16}}}}},"used_operators":["gu96TGCTMs","nCS4ZIUYfx","rysDP5nf3Z","2DlMacCsIx","xUOZtlo3hN","IWmyXbctLI","Ph9nP6C5qx"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1394","layer":4},{"info":"number node, value=1758","layer":4},{"info":"compute binary expreesion, left_input=1394, right_input=1758, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=1033","layer":4},{"info":"compute unary expreesion, input=1033, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1207","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-1207, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1204","layer":2},{"info":"number node, value=4369","layer":4},{"info":"number node, value=1298","layer":4},{"info":"compute binary expreesion, left_input=4369, right_input=1298, op_id = rysDP5nf3Z binary_op_definition= 'None', output=3071","layer":3},{"info":"number node, value=4399","layer":4},{"info":"number node, value=7188","layer":4},{"info":"compute binary expreesion, left_input=4399, right_input=7188, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6715","layer":3},{"info":"compute binary expreesion, left_input=3071, right_input=6715, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6458","layer":2},{"info":"compute binary expreesion, left_input=1204, right_input=6458, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5254","layer":1},{"info":"compute unary expreesion, input=5254, 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":"((∃⊬572⩨∃⊬6DE-(⨞⊢∃⊬409))⨳⩥⨓(∃⊬1111-∃⊬512)⪮%⊝(∃⊬112F≧⫂∧∃⊬1C14))⊘=∃⊬0","reverse_text":"∃⊬0=((∃⊬572⩨∃⊬6DE-(⨞⊢∃⊬409))⨳⩥⨓(∃⊬1111-∃⊬512)⪮%⊝(∃⊬112F≧⫂∧∃⊬1C14))⊘","cot":[{"info":"∃⊬572⩨∃⊬6DE=∃⊬-3","layer":3},{"info":"⨞⊢∃⊬409=∃⊬-4B7","layer":3},{"info":"∃⊬-3-∃⊬-4B7=∃⊬4B4","layer":2},{"info":"∃⊬1111-∃⊬512=∃⊬BFF","layer":3},{"info":"∃⊬112F≧⫂∧∃⊬1C14=∃⊬1A3B","layer":3},{"info":"∃⊬BFF⪮%⊝∃⊬1A3B=∃⊬193A","layer":2},{"info":"∃⊬4B4⨳⩥⨓∃⊬193A=∃⊬1486","layer":1},{"info":"∃⊬1486⊘=∃⊬0","layer":0}]}
{"id":754,"expression_no_base_symbol":"(($6548$⊉≛↸$1315$)⊘)≭($2135$↬$2482$⨸⪁$5097$⋥≓≎$6102$)⨎(($2974$⊴$1549$⨳⩥⨓($3353$⊭↱$3540$))⪠⩆⊳)","expression":"((∃⊬1994⊉≛↸∃⊬523)⊘)≭(∃⊬857↬∃⊬9B2⨸⪁∃⊬13E9⋥≓≎∃⊬17D6)⨎((∃⊬B9E⊴∃⊬60D⨳⩥⨓(∃⊬D19⊭↱∃⊬DD4))⪠⩆⊳)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4036,"operation_count":11,"complexity_ratio":366.90909090909093,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":6548,"base":16},"right_expr":{"type":"numeric_atoms","value":1315,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2135,"base":16},"right_expr":{"type":"numeric_atoms","value":2482,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":5097,"base":16},"right_expr":{"type":"numeric_atoms","value":6102,"base":16}}}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2974,"base":16},"right_expr":{"type":"numeric_atoms","value":1549,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3353,"base":16},"right_expr":{"type":"numeric_atoms","value":3540,"base":16}}}}},"used_operators":["rJVOvQCfKK","rxpJgHHUmx","gu96TGCTMs","DZ8iAZOCBD","g55IO6H4Gj","B5M0gjZbta","Qy55tPpLXF","JLbD19bQDL","nCS4ZIUYfx","Nsiff2A1zJ","COABgblf1C"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=6548","layer":4},{"info":"number node, value=1315","layer":4},{"info":"compute binary expreesion, left_input=6548, right_input=1315, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=13096","layer":3},{"info":"compute unary expreesion, input=13096, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":2},{"info":"number node, value=2135","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=2135, right_input=2482, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=5097","layer":4},{"info":"number node, value=6102","layer":4},{"info":"compute binary expreesion, left_input=5097, right_input=6102, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7140","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7140, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2974","layer":4},{"info":"number node, value=1549","layer":4},{"info":"compute binary expreesion, left_input=2974, right_input=1549, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3353","layer":4},{"info":"number node, value=3540","layer":4},{"info":"compute binary expreesion, left_input=3353, right_input=3540, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=379","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=379, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1994⊉≛↸∃⊬523)⊘)≭(∃⊬857↬∃⊬9B2⨸⪁∃⊬13E9⋥≓≎∃⊬17D6)⨎((∃⊬B9E⊴∃⊬60D⨳⩥⨓(∃⊬D19⊭↱∃⊬DD4))⪠⩆⊳)=NaN","reverse_text":"NaN=((∃⊬1994⊉≛↸∃⊬523)⊘)≭(∃⊬857↬∃⊬9B2⨸⪁∃⊬13E9⋥≓≎∃⊬17D6)⨎((∃⊬B9E⊴∃⊬60D⨳⩥⨓(∃⊬D19⊭↱∃⊬DD4))⪠⩆⊳)","cot":[{"info":"∃⊬1994⊉≛↸∃⊬523=∃⊬3328","layer":3},{"info":"∃⊬3328⊘=∃⊬0","layer":2},{"info":"∃⊬857↬∃⊬9B2=NaN","layer":3},{"info":"∃⊬13E9⋥≓≎∃⊬17D6=∃⊬1BE4","layer":3},{"info":"NaN⨸⪁∃⊬1BE4=NaN","layer":2},{"info":"∃⊬0≭NaN=NaN","layer":1},{"info":"∃⊬B9E⊴∃⊬60D=NaN","layer":3},{"info":"∃⊬D19⊭↱∃⊬DD4=∃⊬17B","layer":3},{"info":"NaN⨳⩥⨓∃⊬17B=NaN","layer":2},{"info":"NaN⪠⩆⊳=NaN","layer":1},{"info":"NaN⨎NaN=NaN","layer":0}]}
{"id":755,"expression_no_base_symbol":"((↽≂$1136$)⪄($3140$⨵⪆$3610$))⊴((↥$5082$)⨪↰⇹($3170$≎⊠⪸$2939$))+⇶⊼((↩$1438$)⪮%⊝(↣≠⋷$4928$)⋥≓≎(⩦⩻⨪$1156$⪢$1427$))","expression":"((↽≂∃⊬470)⪄(∃⊬C44⨵⪆∃⊬E1A))⊴((↥∃⊬13DA)⨪↰⇹(∃⊬C62≎⊠⪸∃⊬B7B))+⇶⊼((↩∃⊬59E)⪮%⊝(↣≠⋷∃⊬1340)⋥≓≎(⩦⩻⨪∃⊬484⪢∃⊬593))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12679,"operation_count":14,"complexity_ratio":905.6428571428571,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":1136,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3140,"base":16},"right_expr":{"type":"numeric_atoms","value":3610,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":5082,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3170,"base":16},"right_expr":{"type":"numeric_atoms","value":2939,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1438,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4928,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1156,"base":16},"right_expr":{"type":"numeric_atoms","value":1427,"base":16}}}}},"used_operators":["TpPTUOHfaN","Nsiff2A1zJ","SUmda5xLS4","u6S6b8DprG","2DQ55sFlQl","tmPS8pqC7x","A8NUZmVepG","bJkvcejdHO","Qy55tPpLXF","IWmyXbctLI","jLgFTUHLKL","Asc51vEJeQ","2td37pGCOC","dWAJyo7jo9"],"dependent_operators":["AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"compute unary expreesion, input=1136, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-2272","layer":3},{"info":"number node, value=3140","layer":4},{"info":"number node, value=3610","layer":4},{"info":"compute binary expreesion, left_input=3140, right_input=3610, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-2272, right_input=160, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"number node, value=5082","layer":4},{"info":"compute unary expreesion, input=5082, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=33","layer":3},{"info":"number node, value=3170","layer":4},{"info":"number node, value=2939","layer":4},{"info":"compute binary expreesion, left_input=3170, right_input=2939, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=820557","layer":3},{"info":"compute binary expreesion, left_input=33, right_input=820557, 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=33","layer":2},{"info":"compute binary expreesion, left_input=3979, right_input=33, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"number node, value=1438","layer":4},{"info":"compute unary expreesion, input=1438, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8724","layer":3},{"info":"number node, value=4928","layer":4},{"info":"compute unary expreesion, input=4928, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-8724, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1156","layer":4},{"info":"number node, value=1427","layer":4},{"info":"compute binary expreesion, left_input=1156, right_input=1427, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↽≂∃⊬470)⪄(∃⊬C44⨵⪆∃⊬E1A))⊴((↥∃⊬13DA)⨪↰⇹(∃⊬C62≎⊠⪸∃⊬B7B))+⇶⊼((↩∃⊬59E)⪮%⊝(↣≠⋷∃⊬1340)⋥≓≎(⩦⩻⨪∃⊬484⪢∃⊬593))=NaN","reverse_text":"NaN=((↽≂∃⊬470)⪄(∃⊬C44⨵⪆∃⊬E1A))⊴((↥∃⊬13DA)⨪↰⇹(∃⊬C62≎⊠⪸∃⊬B7B))+⇶⊼((↩∃⊬59E)⪮%⊝(↣≠⋷∃⊬1340)⋥≓≎(⩦⩻⨪∃⊬484⪢∃⊬593))","cot":[{"info":"↽≂∃⊬470=∃⊬-8E0","layer":3},{"info":"∃⊬C44⨵⪆∃⊬E1A=∃⊬A0","layer":3},{"info":"∃⊬-8E0⪄∃⊬A0=∃⊬F8B","layer":2},{"info":"↥∃⊬13DA=∃⊬21","layer":3},{"info":"∃⊬C62≎⊠⪸∃⊬B7B=∃⊬C854D","layer":3},{"info":"∃⊬21⨪↰⇹∃⊬C854D=∃⊬21","layer":2},{"info":"∃⊬F8B⊴∃⊬21=NaN","layer":1},{"info":"↩∃⊬59E=∃⊬-2214","layer":3},{"info":"↣≠⋷∃⊬1340=NaN","layer":3},{"info":"∃⊬-2214⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬484⪢∃⊬593=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":1},{"info":"NaN+⇶⊼∃⊬43=NaN","layer":0}]}
{"id":756,"expression_no_base_symbol":"(($2383$⊦⊿)≭($1640$⫥∨⫟$1924$)⇼⇔∾((⫓⪴$1304$)⩨($1281$⊭↱$3929$)))⨰(($6313$↺$4615$)⋳⪒$7226$∀⇚≩$1712$⋥≓≎$6708$⪛$2424$⋳⪒($2904$↺$3036$))","expression":"((∃⊬94F⊦⊿)≭(∃⊬668⫥∨⫟∃⊬784)⇼⇔∾((⫓⪴∃⊬518)⩨(∃⊬501⊭↱∃⊬F59)))⨰((∃⊬18A9↺∃⊬1207)⋳⪒∃⊬1C3A∀⇚≩∃⊬6B0⋥≓≎∃⊬1A34⪛∃⊬978⋳⪒(∃⊬B58↺∃⊬BDC))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":52090,"operation_count":15,"complexity_ratio":3472.6666666666665,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2383,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1640,"base":16},"right_expr":{"type":"numeric_atoms","value":1924,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1304,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1281,"base":16},"right_expr":{"type":"numeric_atoms","value":3929,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":6313,"base":16},"right_expr":{"type":"numeric_atoms","value":4615,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":7226,"base":16},"right_expr":{"type":"numeric_atoms","value":1712,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":6708,"base":16},"right_expr":{"type":"numeric_atoms","value":2424,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":2904,"base":16},"right_expr":{"type":"numeric_atoms","value":3036,"base":16}}}}},"used_operators":["eewbuw0ToL","tifHPKVTfV","rxpJgHHUmx","14qkJME0vr","KYD54nUTWz","2DlMacCsIx","eLxqMNBOBk","COABgblf1C","Qy55tPpLXF","12rbrZMWeM","7j4O788W3g","LRNGc0VcxI","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2383","layer":4},{"info":"compute unary expreesion, input=2383, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-7228","layer":3},{"info":"number node, value=1640","layer":4},{"info":"number node, value=1924","layer":4},{"info":"compute binary expreesion, left_input=1640, right_input=1924, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-7228, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1304","layer":4},{"info":"compute unary expreesion, input=1304, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1700416","layer":3},{"info":"number node, value=1281","layer":4},{"info":"number node, value=3929","layer":4},{"info":"compute binary expreesion, left_input=1281, right_input=3929, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5301","layer":3},{"info":"compute binary expreesion, left_input=1700416, right_input=5301, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=6313","layer":4},{"info":"number node, value=4615","layer":4},{"info":"compute binary expreesion, left_input=6313, right_input=4615, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4615","layer":3},{"info":"number node, value=7226","layer":4},{"info":"number node, value=1712","layer":4},{"info":"compute binary expreesion, left_input=7226, right_input=1712, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4615, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=6708","layer":4},{"info":"number node, value=2424","layer":4},{"info":"compute binary expreesion, left_input=6708, right_input=2424, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1860","layer":3},{"info":"number node, value=2904","layer":4},{"info":"number node, value=3036","layer":4},{"info":"compute binary expreesion, left_input=2904, right_input=3036, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=3036","layer":3},{"info":"compute binary expreesion, left_input=1860, right_input=3036, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=397","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=397, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬94F⊦⊿)≭(∃⊬668⫥∨⫟∃⊬784)⇼⇔∾((⫓⪴∃⊬518)⩨(∃⊬501⊭↱∃⊬F59)))⨰((∃⊬18A9↺∃⊬1207)⋳⪒∃⊬1C3A∀⇚≩∃⊬6B0⋥≓≎∃⊬1A34⪛∃⊬978⋳⪒(∃⊬B58↺∃⊬BDC))=NaN","reverse_text":"NaN=((∃⊬94F⊦⊿)≭(∃⊬668⫥∨⫟∃⊬784)⇼⇔∾((⫓⪴∃⊬518)⩨(∃⊬501⊭↱∃⊬F59)))⨰((∃⊬18A9↺∃⊬1207)⋳⪒∃⊬1C3A∀⇚≩∃⊬6B0⋥≓≎∃⊬1A34⪛∃⊬978⋳⪒(∃⊬B58↺∃⊬BDC))","cot":[{"info":"∃⊬94F⊦⊿=∃⊬-1C3C","layer":3},{"info":"∃⊬668⫥∨⫟∃⊬784=NaN","layer":3},{"info":"∃⊬-1C3C≭NaN=NaN","layer":2},{"info":"⫓⪴∃⊬518=∃⊬19F240","layer":3},{"info":"∃⊬501⊭↱∃⊬F59=∃⊬14B5","layer":3},{"info":"∃⊬19F240⩨∃⊬14B5=∃⊬0","layer":2},{"info":"NaN⇼⇔∾∃⊬0=NaN","layer":1},{"info":"∃⊬18A9↺∃⊬1207=∃⊬1207","layer":3},{"info":"∃⊬1C3A∀⇚≩∃⊬6B0=NaN","layer":3},{"info":"∃⊬1207⋳⪒NaN=NaN","layer":2},{"info":"∃⊬1A34⪛∃⊬978=∃⊬744","layer":3},{"info":"∃⊬B58↺∃⊬BDC=∃⊬BDC","layer":3},{"info":"∃⊬744⋳⪒∃⊬BDC=∃⊬18D","layer":2},{"info":"NaN⋥≓≎∃⊬18D=∃⊬43","layer":1},{"info":"NaN⨰∃⊬43=NaN","layer":0}]}
{"id":757,"expression_no_base_symbol":"(($1098$⨳⩥⨓$1663$⪐)≣⋋)⩷∴(↣≠⋷((⫓⪴$6530$)⇷($7140$⨳⩥⨓$1007$)))","expression":"((∃⊬44A⨳⩥⨓∃⊬67F⪐)≣⋋)⩷∴(↣≠⋷((⫓⪴∃⊬1982)⇷(∃⊬1BE4⨳⩥⨓∃⊬3EF)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7070,"operation_count":8,"complexity_ratio":883.75,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1098,"base":16},"right_expr":{"type":"numeric_atoms","value":1663,"base":16}}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":6530,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":7140,"base":16},"right_expr":{"type":"numeric_atoms","value":1007,"base":16}}}}},"used_operators":["9FxExcQeMw","Tcnh7f0tEr","eH2TOUuTDT","nCS4ZIUYfx","Asc51vEJeQ","mp7IySMOzn","eLxqMNBOBk"],"dependent_operators":["rysDP5nf3Z","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"number node, value=1663","layer":4},{"info":"compute binary expreesion, left_input=1098, right_input=1663, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=565","layer":3},{"info":"compute unary expreesion, input=565, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=1130","layer":2},{"info":"compute unary expreesion, input=1130, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":1},{"info":"number node, value=6530","layer":4},{"info":"compute unary expreesion, input=6530, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=42640900","layer":3},{"info":"number node, value=7140","layer":4},{"info":"number node, value=1007","layer":4},{"info":"compute binary expreesion, left_input=7140, right_input=1007, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-6133","layer":3},{"info":"compute binary expreesion, left_input=42640900, right_input=-6133, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":"((∃⊬44A⨳⩥⨓∃⊬67F⪐)≣⋋)⩷∴(↣≠⋷((⫓⪴∃⊬1982)⇷(∃⊬1BE4⨳⩥⨓∃⊬3EF)))=NaN","reverse_text":"NaN=((∃⊬44A⨳⩥⨓∃⊬67F⪐)≣⋋)⩷∴(↣≠⋷((⫓⪴∃⊬1982)⇷(∃⊬1BE4⨳⩥⨓∃⊬3EF)))","cot":[{"info":"∃⊬44A⨳⩥⨓∃⊬67F=∃⊬235","layer":3},{"info":"∃⊬235⪐=∃⊬46A","layer":2},{"info":"∃⊬46A≣⋋=∃⊬0","layer":1},{"info":"⫓⪴∃⊬1982=∃⊬28AA604","layer":3},{"info":"∃⊬1BE4⨳⩥⨓∃⊬3EF=∃⊬-17F5","layer":3},{"info":"∃⊬28AA604⇷∃⊬-17F5=NaN","layer":2},{"info":"↣≠⋷NaN=NaN","layer":1},{"info":"∃⊬0⩷∴NaN=NaN","layer":0}]}
{"id":758,"expression_no_base_symbol":"(($6894$⨓$1152$*(⪲⇎$1278$))≫≃)⨐⩸⫘($1927$⪛$3172$⪄($1547$⋷$4055$))⨐⩸⫘$3036$⫥∨⫟$2108$⋳⪒(↣≠⋷$4968$)","expression":"((∃⊬1AEE⨓∃⊬480*(⪲⇎∃⊬4FE))≫≃)⨐⩸⫘(∃⊬787⪛∃⊬C64⪄(∃⊬60B⋷∃⊬FD7))⨐⩸⫘∃⊬BDC⫥∨⫟∃⊬83C⋳⪒(↣≠⋷∃⊬1368)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2590,"operation_count":12,"complexity_ratio":215.83333333333334,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6894,"base":16},"right_expr":{"type":"numeric_atoms","value":1152,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1278,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1927,"base":16},"right_expr":{"type":"numeric_atoms","value":3172,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1547,"base":16},"right_expr":{"type":"numeric_atoms","value":4055,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3036,"base":16},"right_expr":{"type":"numeric_atoms","value":2108,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":4968,"base":16}}}}},"used_operators":["fu6greOZ01","X99M06cbEe","9HNa5Wba9A","3ViojmjbAp","XPYlsWDdGa","SUmda5xLS4","uFcxV4UQCh","23Mk6UjR3U","12rbrZMWeM","KYD54nUTWz","Asc51vEJeQ"],"dependent_operators":["3ViojmjbAp","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6894","layer":4},{"info":"number node, value=1152","layer":4},{"info":"compute binary expreesion, left_input=6894, right_input=1152, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1155","layer":3},{"info":"number node, value=1278","layer":4},{"info":"compute unary expreesion, input=1278, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2556","layer":3},{"info":"compute binary expreesion, left_input=-1155, right_input=2556, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-2952180","layer":2},{"info":"compute unary expreesion, input=-2952180, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-5902959","layer":1},{"info":"number node, value=1927","layer":4},{"info":"number node, value=3172","layer":4},{"info":"compute binary expreesion, left_input=1927, right_input=3172, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1927","layer":3},{"info":"number node, value=1547","layer":4},{"info":"number node, value=4055","layer":4},{"info":"compute binary expreesion, left_input=1547, right_input=4055, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6563","layer":3},{"info":"compute binary expreesion, left_input=1927, right_input=6563, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-307537","layer":2},{"info":"number node, value=3036","layer":4},{"info":"number node, value=2108","layer":4},{"info":"compute binary expreesion, left_input=3036, right_input=2108, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4968","layer":4},{"info":"compute unary expreesion, input=4968, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-307537, 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":1},{"info":"compute binary expreesion, left_input=-5902959, 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":"((∃⊬1AEE⨓∃⊬480*(⪲⇎∃⊬4FE))≫≃)⨐⩸⫘(∃⊬787⪛∃⊬C64⪄(∃⊬60B⋷∃⊬FD7))⨐⩸⫘∃⊬BDC⫥∨⫟∃⊬83C⋳⪒(↣≠⋷∃⊬1368)=NaN","reverse_text":"NaN=((∃⊬1AEE⨓∃⊬480*(⪲⇎∃⊬4FE))≫≃)⨐⩸⫘(∃⊬787⪛∃⊬C64⪄(∃⊬60B⋷∃⊬FD7))⨐⩸⫘∃⊬BDC⫥∨⫟∃⊬83C⋳⪒(↣≠⋷∃⊬1368)","cot":[{"info":"∃⊬1AEE⨓∃⊬480=∃⊬-483","layer":3},{"info":"⪲⇎∃⊬4FE=∃⊬9FC","layer":3},{"info":"∃⊬-483*∃⊬9FC=∃⊬-2D0BF4","layer":2},{"info":"∃⊬-2D0BF4≫≃=∃⊬-5A126F","layer":1},{"info":"∃⊬787⪛∃⊬C64=∃⊬787","layer":3},{"info":"∃⊬60B⋷∃⊬FD7=∃⊬19A3","layer":3},{"info":"∃⊬787⪄∃⊬19A3=∃⊬-4B151","layer":2},{"info":"∃⊬BDC⫥∨⫟∃⊬83C=NaN","layer":3},{"info":"↣≠⋷∃⊬1368=NaN","layer":3},{"info":"NaN⋳⪒NaN=NaN","layer":2},{"info":"∃⊬-4B151⨐⩸⫘NaN=NaN","layer":1},{"info":"∃⊬-5A126F⨐⩸⫘NaN=NaN","layer":0}]}
{"id":759,"expression_no_base_symbol":"(∂($1476$∧)∀⇚≩(⩦⩻⨪$8165$))⩨(↔($3374$⪛$2433$*$4397$⋳⪒$7888$))","expression":"(∂(∃⊬5C4∧)∀⇚≩(⩦⩻⨪∃⊬1FE5))⩨(↔(∃⊬D2E⪛∃⊬981*∃⊬112D⋳⪒∃⊬1ED0))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":652,"operation_count":9,"complexity_ratio":72.44444444444444,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1476,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":8165,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3374,"base":16},"right_expr":{"type":"numeric_atoms","value":2433,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4397,"base":16},"right_expr":{"type":"numeric_atoms","value":7888,"base":16}}}}},"used_operators":["2DlMacCsIx","Uaa54Peajs","LRNGc0VcxI","z63VuFQld9","2td37pGCOC","ruOEQAzv1W","9HNa5Wba9A","uFcxV4UQCh","12rbrZMWeM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","X99M06cbEe","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1476","layer":4},{"info":"compute unary expreesion, input=1476, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=8165","layer":4},{"info":"compute unary expreesion, input=8165, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=8165","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8165, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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=3374","layer":4},{"info":"number node, value=2433","layer":4},{"info":"compute binary expreesion, left_input=3374, right_input=2433, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=941","layer":3},{"info":"number node, value=4397","layer":4},{"info":"number node, value=7888","layer":4},{"info":"compute binary expreesion, left_input=4397, right_input=7888, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=619","layer":3},{"info":"compute binary expreesion, left_input=941, right_input=619, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=582479","layer":2},{"info":"compute unary expreesion, input=582479, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-582206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-582206, 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":"(∂(∃⊬5C4∧)∀⇚≩(⩦⩻⨪∃⊬1FE5))⩨(↔(∃⊬D2E⪛∃⊬981*∃⊬112D⋳⪒∃⊬1ED0))=NaN","reverse_text":"NaN=(∂(∃⊬5C4∧)∀⇚≩(⩦⩻⨪∃⊬1FE5))⩨(↔(∃⊬D2E⪛∃⊬981*∃⊬112D⋳⪒∃⊬1ED0))","cot":[{"info":"∃⊬5C4∧=NaN","layer":3},{"info":"⩦⩻⨪∃⊬1FE5=∃⊬1FE5","layer":3},{"info":"NaN∀⇚≩∃⊬1FE5=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"∃⊬D2E⪛∃⊬981=∃⊬3AD","layer":3},{"info":"∃⊬112D⋳⪒∃⊬1ED0=∃⊬26B","layer":3},{"info":"∃⊬3AD*∃⊬26B=∃⊬8E34F","layer":2},{"info":"↔∃⊬8E34F=∃⊬-8E23E","layer":1},{"info":"NaN⩨∃⊬-8E23E=NaN","layer":0}]}
{"id":760,"expression_no_base_symbol":"↯⪼(⋗⩬⋾(($2559$⪒$5154$)≫≃))","expression":"↯⪼(⋗⩬⋾((∃⊬9FF⪒∃⊬1422)≫≃))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":44,"operation_count":4,"complexity_ratio":11.0,"tree":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2559,"base":16},"right_expr":{"type":"numeric_atoms","value":5154,"base":16}}}}},"used_operators":["8jW3W4yZS5","DpFCA1CohY","X99M06cbEe","f6k1SAg4EE"],"dependent_operators":["eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2559","layer":4},{"info":"number node, value=5154","layer":4},{"info":"compute binary expreesion, left_input=2559, right_input=5154, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7713","layer":3},{"info":"compute unary expreesion, input=-7713, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-14025","layer":2},{"info":"compute unary expreesion, input=-14025, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=42075","layer":1},{"info":"compute unary expreesion, input=42075, 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":"↯⪼(⋗⩬⋾((∃⊬9FF⪒∃⊬1422)≫≃))=∃⊬-15","reverse_text":"∃⊬-15=↯⪼(⋗⩬⋾((∃⊬9FF⪒∃⊬1422)≫≃))","cot":[{"info":"∃⊬9FF⪒∃⊬1422=∃⊬-1E21","layer":3},{"info":"∃⊬-1E21≫≃=∃⊬-36C9","layer":2},{"info":"⋗⩬⋾∃⊬-36C9=∃⊬A45B","layer":1},{"info":"↯⪼∃⊬A45B=∃⊬-15","layer":0}]}
{"id":761,"expression_no_base_symbol":"(⋗⩬⋾$1646$)⨓($3314$⨳⩥⨓$3546$)≎⊠⪸(($6919$⪐)⨸⪁$3587$≹⇙⪍$4797$)⨐⩸⫘(($8037$⪢$2837$⨳⩥⨓$1386$+⇶⊼$2085$)⩠)","expression":"(⋗⩬⋾∃⊬66E)⨓(∃⊬CF2⨳⩥⨓∃⊬DDA)≎⊠⪸((∃⊬1B07⪐)⨸⪁∃⊬E03≹⇙⪍∃⊬12BD)⨐⩸⫘((∃⊬1F65⪢∃⊬B15⨳⩥⨓∃⊬56A+⇶⊼∃⊬825)⩠)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5872,"operation_count":12,"complexity_ratio":489.3333333333333,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1646,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3314,"base":16},"right_expr":{"type":"numeric_atoms","value":3546,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6919,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":3587,"base":16},"right_expr":{"type":"numeric_atoms","value":4797,"base":16}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":8037,"base":16},"right_expr":{"type":"numeric_atoms","value":2837,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1386,"base":16},"right_expr":{"type":"numeric_atoms","value":2085,"base":16}}}}},"used_operators":["fu6greOZ01","bJkvcejdHO","3ViojmjbAp","DpFCA1CohY","nCS4ZIUYfx","g55IO6H4Gj","eH2TOUuTDT","AHs5Up7iyr","sJAwomhLZr","dWAJyo7jo9","TpPTUOHfaN"],"dependent_operators":["3ViojmjbAp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","k8jYdgA6NY","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1646","layer":4},{"info":"compute unary expreesion, input=1646, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4938","layer":3},{"info":"number node, value=3314","layer":4},{"info":"number node, value=3546","layer":4},{"info":"compute binary expreesion, left_input=3314, right_input=3546, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=232","layer":3},{"info":"compute binary expreesion, left_input=-4938, right_input=232, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-235","layer":2},{"info":"number node, value=6919","layer":4},{"info":"compute unary expreesion, input=6919, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13838","layer":3},{"info":"number node, value=3587","layer":4},{"info":"number node, value=4797","layer":4},{"info":"compute binary expreesion, left_input=3587, right_input=4797, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=13838, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-235, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=8037","layer":4},{"info":"number node, value=2837","layer":4},{"info":"compute binary expreesion, left_input=8037, right_input=2837, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=2085","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2085, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"(⋗⩬⋾∃⊬66E)⨓(∃⊬CF2⨳⩥⨓∃⊬DDA)≎⊠⪸((∃⊬1B07⪐)⨸⪁∃⊬E03≹⇙⪍∃⊬12BD)⨐⩸⫘((∃⊬1F65⪢∃⊬B15⨳⩥⨓∃⊬56A+⇶⊼∃⊬825)⩠)=NaN","reverse_text":"NaN=(⋗⩬⋾∃⊬66E)⨓(∃⊬CF2⨳⩥⨓∃⊬DDA)≎⊠⪸((∃⊬1B07⪐)⨸⪁∃⊬E03≹⇙⪍∃⊬12BD)⨐⩸⫘((∃⊬1F65⪢∃⊬B15⨳⩥⨓∃⊬56A+⇶⊼∃⊬825)⩠)","cot":[{"info":"⋗⩬⋾∃⊬66E=∃⊬-134A","layer":3},{"info":"∃⊬CF2⨳⩥⨓∃⊬DDA=∃⊬E8","layer":3},{"info":"∃⊬-134A⨓∃⊬E8=∃⊬-EB","layer":2},{"info":"∃⊬1B07⪐=∃⊬360E","layer":3},{"info":"∃⊬E03≹⇙⪍∃⊬12BD=NaN","layer":3},{"info":"∃⊬360E⨸⪁NaN=NaN","layer":2},{"info":"∃⊬-EB≎⊠⪸NaN=∃⊬43","layer":1},{"info":"∃⊬1F65⪢∃⊬B15=NaN","layer":3},{"info":"∃⊬56A+⇶⊼∃⊬825=NaN","layer":3},{"info":"NaN⨳⩥⨓NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"∃⊬43⨐⩸⫘NaN=NaN","layer":0}]}
{"id":762,"expression_no_base_symbol":"($3019$+⇶⊼$2718$)↬($6265$⇼⇔∾$2248$)⫡⨏($6230$⩨$3107$)≧⫂∧(⨈⫕$2093$)/$3282$⨪↰⇹$5980$↙$3871$⫥∨⫟$4066$⊉≛↸(($1585$/$2584$)⋫)","expression":"(∃⊬BCB+⇶⊼∃⊬A9E)↬(∃⊬1879⇼⇔∾∃⊬8C8)⫡⨏(∃⊬1856⩨∃⊬C23)≧⫂∧(⨈⫕∃⊬82D)/∃⊬CD2⨪↰⇹∃⊬175C↙∃⊬F1F⫥∨⫟∃⊬FE2⊉≛↸((∃⊬631/∃⊬A18)⋫)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3847,"operation_count":14,"complexity_ratio":274.7857142857143,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":3019,"base":16},"right_expr":{"type":"numeric_atoms","value":2718,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":6265,"base":16},"right_expr":{"type":"numeric_atoms","value":2248,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6230,"base":16},"right_expr":{"type":"numeric_atoms","value":3107,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":2093,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3282,"base":16},"right_expr":{"type":"numeric_atoms","value":5980,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3871,"base":16},"right_expr":{"type":"numeric_atoms","value":4066,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1585,"base":16},"right_expr":{"type":"numeric_atoms","value":2584,"base":16}}}}},"used_operators":["XhwjNDsVaA","QMFrweE19q","B5M0gjZbta","TpPTUOHfaN","tifHPKVTfV","Ph9nP6C5qx","2DlMacCsIx","megm06wKyl","DZ8iAZOCBD","yyfyN0ffXY","tmPS8pqC7x","KYD54nUTWz","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3019","layer":4},{"info":"number node, value=2718","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=2718, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6265","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=6265, right_input=2248, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-4017","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4017, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=6230","layer":4},{"info":"number node, value=3107","layer":4},{"info":"compute binary expreesion, left_input=6230, right_input=3107, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2093","layer":4},{"info":"compute unary expreesion, input=2093, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-21, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-494","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-494, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"number node, value=3282","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=3282, right_input=5980, 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=3282","layer":3},{"info":"number node, value=3871","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=3871, right_input=4066, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3282, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"number node, value=1585","layer":4},{"info":"number node, value=2584","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=2584, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬BCB+⇶⊼∃⊬A9E)↬(∃⊬1879⇼⇔∾∃⊬8C8)⫡⨏(∃⊬1856⩨∃⊬C23)≧⫂∧(⨈⫕∃⊬82D)/∃⊬CD2⨪↰⇹∃⊬175C↙∃⊬F1F⫥∨⫟∃⊬FE2⊉≛↸((∃⊬631/∃⊬A18)⋫)=NaN","reverse_text":"NaN=(∃⊬BCB+⇶⊼∃⊬A9E)↬(∃⊬1879⇼⇔∾∃⊬8C8)⫡⨏(∃⊬1856⩨∃⊬C23)≧⫂∧(⨈⫕∃⊬82D)/∃⊬CD2⨪↰⇹∃⊬175C↙∃⊬F1F⫥∨⫟∃⊬FE2⊉≛↸((∃⊬631/∃⊬A18)⋫)","cot":[{"info":"∃⊬BCB+⇶⊼∃⊬A9E=NaN","layer":3},{"info":"∃⊬1879⇼⇔∾∃⊬8C8=∃⊬-FB1","layer":3},{"info":"NaN↬∃⊬-FB1=NaN","layer":2},{"info":"∃⊬1856⩨∃⊬C23=∃⊬0","layer":3},{"info":"⨈⫕∃⊬82D=∃⊬-15","layer":3},{"info":"∃⊬0≧⫂∧∃⊬-15=∃⊬-1EE","layer":2},{"info":"NaN⫡⨏∃⊬-1EE=NaN","layer":1},{"info":"∃⊬CD2⨪↰⇹∃⊬175C=∃⊬CD2","layer":3},{"info":"∃⊬F1F⫥∨⫟∃⊬FE2=NaN","layer":3},{"info":"∃⊬CD2↙NaN=NaN","layer":2},{"info":"∃⊬631/∃⊬A18=∃⊬0","layer":3},{"info":"∃⊬0⋫=∃⊬0","layer":2},{"info":"NaN⊉≛↸∃⊬0=NaN","layer":1},{"info":"NaN/NaN=NaN","layer":0}]}
{"id":763,"expression_no_base_symbol":"(((⊥$4488$)↺(↯⪼$1285$))⩠)⩠","expression":"(((⊥∃⊬1188)↺(↯⪼∃⊬505))⩠)⩠","highest_n_order":4,"priority_hierarchical_complexity":3,"normalized_expansion_degree":68,"operation_count":5,"complexity_ratio":13.6,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":4488,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1285,"base":16}}}}},"used_operators":["sJAwomhLZr","7j4O788W3g","Q3PJZHRvZv","8jW3W4yZS5"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"∃⊬-3C3","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4488","layer":4},{"info":"compute unary expreesion, input=4488, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1285","layer":4},{"info":"compute unary expreesion, input=1285, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=293","layer":1},{"info":"compute unary expreesion, input=293, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=-963","layer":0}],"base":16,"result_base":16,"text":"(((⊥∃⊬1188)↺(↯⪼∃⊬505))⩠)⩠=∃⊬-3C3","reverse_text":"∃⊬-3C3=(((⊥∃⊬1188)↺(↯⪼∃⊬505))⩠)⩠","cot":[{"info":"⊥∃⊬1188=NaN","layer":3},{"info":"↯⪼∃⊬505=∃⊬-15","layer":3},{"info":"NaN↺∃⊬-15=∃⊬-15","layer":2},{"info":"∃⊬-15⩠=∃⊬125","layer":1},{"info":"∃⊬125⩠=∃⊬-3C3","layer":0}]}
{"id":764,"expression_no_base_symbol":"(($8400$⫡⨏$1144$)⋳⪒($1053$⪄$2495$)⋷$5099$⋝⋈⪟$1101$-$1093$⇼⇔∾$1302$)⊭↱(($3498$/$5142$)⨳⩥⨓(↽≂$8039$))⫥∨⫟(⨈⫕$5433$)↬($2359$/$4673$)","expression":"((∃⊬20D0⫡⨏∃⊬478)⋳⪒(∃⊬41D⪄∃⊬9BF)⋷∃⊬13EB⋝⋈⪟∃⊬44D-∃⊬445⇼⇔∾∃⊬516)⊭↱((∃⊬DAA/∃⊬1416)⨳⩥⨓(↽≂∃⊬1F67))⫥∨⫟(⨈⫕∃⊬1539)↬(∃⊬937/∃⊬1241)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":693,"operation_count":15,"complexity_ratio":46.2,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8400,"base":16},"right_expr":{"type":"numeric_atoms","value":1144,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1053,"base":16},"right_expr":{"type":"numeric_atoms","value":2495,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5099,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1093,"base":16},"right_expr":{"type":"numeric_atoms","value":1302,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3498,"base":16},"right_expr":{"type":"numeric_atoms","value":5142,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":8039,"base":16}}},"right_expr":{"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":2359,"base":16},"right_expr":{"type":"numeric_atoms","value":4673,"base":16}}}}},"used_operators":["COABgblf1C","23Mk6UjR3U","12rbrZMWeM","QMFrweE19q","SUmda5xLS4","rysDP5nf3Z","2DDjHMKMc0","tifHPKVTfV","KYD54nUTWz","nCS4ZIUYfx","XhwjNDsVaA","u6S6b8DprG","B5M0gjZbta","megm06wKyl"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8400","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=8400, right_input=1144, 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=45071","layer":3},{"info":"number node, value=1053","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1053, right_input=2495, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-161913","layer":3},{"info":"compute binary expreesion, left_input=45071, right_input=-161913, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=251768","layer":2},{"info":"number node, value=5099","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=5099, right_input=1101, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5099","layer":3},{"info":"number node, value=1093","layer":4},{"info":"number node, value=1302","layer":4},{"info":"compute binary expreesion, left_input=1093, right_input=1302, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=209","layer":3},{"info":"compute binary expreesion, left_input=5099, right_input=209, op_id = rysDP5nf3Z binary_op_definition= 'None', output=4890","layer":2},{"info":"compute binary expreesion, left_input=251768, right_input=4890, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-241988","layer":1},{"info":"number node, value=3498","layer":4},{"info":"number node, value=5142","layer":4},{"info":"compute binary expreesion, left_input=3498, right_input=5142, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=8039","layer":4},{"info":"compute unary expreesion, input=8039, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-16078","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-16078, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-16078","layer":2},{"info":"number node, value=5433","layer":4},{"info":"compute unary expreesion, input=5433, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=2359","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=2359, right_input=4673, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-21, 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=0","layer":2},{"info":"compute binary expreesion, left_input=-16078, right_input=0, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-241988, 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":"((∃⊬20D0⫡⨏∃⊬478)⋳⪒(∃⊬41D⪄∃⊬9BF)⋷∃⊬13EB⋝⋈⪟∃⊬44D-∃⊬445⇼⇔∾∃⊬516)⊭↱((∃⊬DAA/∃⊬1416)⨳⩥⨓(↽≂∃⊬1F67))⫥∨⫟(⨈⫕∃⊬1539)↬(∃⊬937/∃⊬1241)=NaN","reverse_text":"NaN=((∃⊬20D0⫡⨏∃⊬478)⋳⪒(∃⊬41D⪄∃⊬9BF)⋷∃⊬13EB⋝⋈⪟∃⊬44D-∃⊬445⇼⇔∾∃⊬516)⊭↱((∃⊬DAA/∃⊬1416)⨳⩥⨓(↽≂∃⊬1F67))⫥∨⫟(⨈⫕∃⊬1539)↬(∃⊬937/∃⊬1241)","cot":[{"info":"∃⊬20D0⫡⨏∃⊬478=∃⊬B00F","layer":3},{"info":"∃⊬41D⪄∃⊬9BF=∃⊬-27879","layer":3},{"info":"∃⊬B00F⋳⪒∃⊬-27879=∃⊬3D778","layer":2},{"info":"∃⊬13EB⋝⋈⪟∃⊬44D=∃⊬13EB","layer":3},{"info":"∃⊬445⇼⇔∾∃⊬516=∃⊬D1","layer":3},{"info":"∃⊬13EB-∃⊬D1=∃⊬131A","layer":2},{"info":"∃⊬3D778⋷∃⊬131A=∃⊬-3B144","layer":1},{"info":"∃⊬DAA/∃⊬1416=∃⊬0","layer":3},{"info":"↽≂∃⊬1F67=∃⊬-3ECE","layer":3},{"info":"∃⊬0⨳⩥⨓∃⊬-3ECE=∃⊬-3ECE","layer":2},{"info":"⨈⫕∃⊬1539=∃⊬-15","layer":3},{"info":"∃⊬937/∃⊬1241=∃⊬0","layer":3},{"info":"∃⊬-15↬∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-3ECE⫥∨⫟∃⊬0=NaN","layer":1},{"info":"∃⊬-3B144⊭↱NaN=NaN","layer":0}]}
{"id":765,"expression_no_base_symbol":"(↯⪼(⊄⩳↩$1812$)⪢($4370$⋷$6716$))⨓((⊙↵-$2595$)⋥≓≎$2360$↬$2511$)⇷($4180$⪒$5902$)⇷($7931$⩚⊴⇥$3499$)","expression":"(↯⪼(⊄⩳↩∃⊬714)⪢(∃⊬1112⋷∃⊬1A3C))⨓((⊙↵-∃⊬A23)⋥≓≎∃⊬938↬∃⊬9CF)⇷(∃⊬1054⪒∃⊬170E)⇷(∃⊬1EFB⩚⊴⇥∃⊬DAB)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":153374,"operation_count":12,"complexity_ratio":12781.166666666666,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1812,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4370,"base":16},"right_expr":{"type":"numeric_atoms","value":6716,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2595,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2360,"base":16},"right_expr":{"type":"numeric_atoms","value":2511,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4180,"base":16},"right_expr":{"type":"numeric_atoms","value":5902,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7931,"base":16},"right_expr":{"type":"numeric_atoms","value":3499,"base":16}}}}},"used_operators":["3ViojmjbAp","8jW3W4yZS5","dWAJyo7jo9","8w2t5hMYqp","23Mk6UjR3U","mp7IySMOzn","Qy55tPpLXF","oWn0xqSxBt","B5M0gjZbta","f6k1SAg4EE","NTOWxs364D"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5436","layer":3},{"info":"number node, value=4370","layer":4},{"info":"number node, value=6716","layer":4},{"info":"compute binary expreesion, left_input=4370, right_input=6716, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9062","layer":3},{"info":"compute binary expreesion, left_input=-5436, right_input=9062, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=2595","layer":4},{"info":"compute unary expreesion, input=2595, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=2360","layer":4},{"info":"number node, value=2511","layer":4},{"info":"compute binary expreesion, left_input=2360, right_input=2511, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=4180","layer":4},{"info":"number node, value=5902","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=5902, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10082","layer":3},{"info":"number node, value=7931","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=7931, right_input=3499, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11551","layer":3},{"info":"compute binary expreesion, left_input=-10082, right_input=-11551, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(↯⪼(⊄⩳↩∃⊬714)⪢(∃⊬1112⋷∃⊬1A3C))⨓((⊙↵-∃⊬A23)⋥≓≎∃⊬938↬∃⊬9CF)⇷(∃⊬1054⪒∃⊬170E)⇷(∃⊬1EFB⩚⊴⇥∃⊬DAB)=NaN","reverse_text":"NaN=(↯⪼(⊄⩳↩∃⊬714)⪢(∃⊬1112⋷∃⊬1A3C))⨓((⊙↵-∃⊬A23)⋥≓≎∃⊬938↬∃⊬9CF)⇷(∃⊬1054⪒∃⊬170E)⇷(∃⊬1EFB⩚⊴⇥∃⊬DAB)","cot":[{"info":"⊄⩳↩∃⊬714=∃⊬-153C","layer":3},{"info":"∃⊬1112⋷∃⊬1A3C=∃⊬2366","layer":3},{"info":"∃⊬-153C⪢∃⊬2366=NaN","layer":2},{"info":"↯⪼NaN=∃⊬-15","layer":1},{"info":"⊙↵-∃⊬A23=∃⊬-1","layer":3},{"info":"∃⊬938↬∃⊬9CF=NaN","layer":3},{"info":"∃⊬-1⋥≓≎NaN=NaN","layer":2},{"info":"∃⊬1054⪒∃⊬170E=∃⊬-2762","layer":3},{"info":"∃⊬1EFB⩚⊴⇥∃⊬DAB=∃⊬-2D1F","layer":3},{"info":"∃⊬-2762⇷∃⊬-2D1F=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"∃⊬-15⨓NaN=NaN","layer":0}]}
{"id":766,"expression_no_base_symbol":"∥⊫(($3416$⩚⊴⇥$8105$/($7595$⊦⊿))%$1138$∀⇚≩$2182$⨸⪁($8666$⪒$5182$))","expression":"∥⊫((∃⊬D58⩚⊴⇥∃⊬1FA9/(∃⊬1DAB⊦⊿))%∃⊬472∀⇚≩∃⊬886⨸⪁(∃⊬21DA⪒∃⊬143E))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":7986,"operation_count":8,"complexity_ratio":998.25,"tree":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3416,"base":16},"right_expr":{"type":"numeric_atoms","value":8105,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":7595,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1138,"base":16},"right_expr":{"type":"numeric_atoms","value":2182,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":8666,"base":16},"right_expr":{"type":"numeric_atoms","value":5182,"base":16}}}}},"used_operators":["P8v4zCKN1o","k8jYdgA6NY","XhwjNDsVaA","NTOWxs364D","14qkJME0vr","g55IO6H4Gj","LRNGc0VcxI","f6k1SAg4EE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3416","layer":4},{"info":"number node, value=8105","layer":4},{"info":"compute binary expreesion, left_input=3416, right_input=8105, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11642","layer":3},{"info":"number node, value=7595","layer":4},{"info":"compute unary expreesion, input=7595, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-22864","layer":3},{"info":"compute binary expreesion, left_input=-11642, right_input=-22864, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1138","layer":4},{"info":"number node, value=2182","layer":4},{"info":"compute binary expreesion, left_input=1138, right_input=2182, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=8666","layer":4},{"info":"number node, value=5182","layer":4},{"info":"compute binary expreesion, left_input=8666, right_input=5182, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-13848","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13848, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"∥⊫((∃⊬D58⩚⊴⇥∃⊬1FA9/(∃⊬1DAB⊦⊿))%∃⊬472∀⇚≩∃⊬886⨸⪁(∃⊬21DA⪒∃⊬143E))=NaN","reverse_text":"NaN=∥⊫((∃⊬D58⩚⊴⇥∃⊬1FA9/(∃⊬1DAB⊦⊿))%∃⊬472∀⇚≩∃⊬886⨸⪁(∃⊬21DA⪒∃⊬143E))","cot":[{"info":"∃⊬D58⩚⊴⇥∃⊬1FA9=∃⊬-2D7A","layer":3},{"info":"∃⊬1DAB⊦⊿=∃⊬-5950","layer":3},{"info":"∃⊬-2D7A/∃⊬-5950=∃⊬0","layer":2},{"info":"∃⊬472∀⇚≩∃⊬886=NaN","layer":3},{"info":"∃⊬21DA⪒∃⊬143E=∃⊬-3618","layer":3},{"info":"NaN⨸⪁∃⊬-3618=NaN","layer":2},{"info":"∃⊬0%NaN=NaN","layer":1},{"info":"∥⊫NaN=NaN","layer":0}]}
{"id":767,"expression_no_base_symbol":"(($4022$⊭∹↮)⩷∴(⫓⪴$1350$)≫≃)⪘⫢((↩$1491$⨪↰⇹$1029$)↛⩡⫤)","expression":"((∃⊬FB6⊭∹↮)⩷∴(⫓⪴∃⊬546)≫≃)⪘⫢((↩∃⊬5D3⨪↰⇹∃⊬405)↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":30443,"operation_count":8,"complexity_ratio":3805.375,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":4022,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1350,"base":16}}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1491,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}}}}},"used_operators":["oacrs7FA3X","X99M06cbEe","9FxExcQeMw","xNBdhnnwKq","eLxqMNBOBk","FU0Cs4j7VP","jLgFTUHLKL","tmPS8pqC7x"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rJVOvQCfKK"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4022","layer":4},{"info":"compute unary expreesion, input=4022, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=8044","layer":3},{"info":"number node, value=1350","layer":4},{"info":"compute unary expreesion, input=1350, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1822500","layer":3},{"info":"compute binary expreesion, left_input=8044, right_input=1822500, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-3628944","layer":2},{"info":"compute unary expreesion, input=-3628944, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-7256487","layer":1},{"info":"number node, value=1491","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1491, right_input=1029, 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=1491","layer":3},{"info":"compute unary expreesion, input=1491, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-9148","layer":2},{"info":"compute unary expreesion, input=-9148, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=2789","layer":1},{"info":"compute binary expreesion, left_input=-7256487, right_input=2789, 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":"((∃⊬FB6⊭∹↮)⩷∴(⫓⪴∃⊬546)≫≃)⪘⫢((↩∃⊬5D3⨪↰⇹∃⊬405)↛⩡⫤)=∃⊬-1","reverse_text":"∃⊬-1=((∃⊬FB6⊭∹↮)⩷∴(⫓⪴∃⊬546)≫≃)⪘⫢((↩∃⊬5D3⨪↰⇹∃⊬405)↛⩡⫤)","cot":[{"info":"∃⊬FB6⊭∹↮=∃⊬1F6C","layer":3},{"info":"⫓⪴∃⊬546=∃⊬1BCF24","layer":3},{"info":"∃⊬1F6C⩷∴∃⊬1BCF24=∃⊬-375F90","layer":2},{"info":"∃⊬-375F90≫≃=∃⊬-6EB9A7","layer":1},{"info":"∃⊬5D3⨪↰⇹∃⊬405=∃⊬5D3","layer":3},{"info":"↩∃⊬5D3=∃⊬-23BC","layer":2},{"info":"∃⊬-23BC↛⩡⫤=∃⊬AE5","layer":1},{"info":"∃⊬-6EB9A7⪘⫢∃⊬AE5=∃⊬-1","layer":0}]}
{"id":768,"expression_no_base_symbol":"⊄⩳↩(($2630$⩚⊴⇥$5523$⫸⊐($5452$⊭↱$6366$))⨎(≤/($3365$⪨≂$7305$)))","expression":"⊄⩳↩((∃⊬A46⩚⊴⇥∃⊬1593⫸⊐(∃⊬154C⊭↱∃⊬18DE))⨎(≤/(∃⊬D25⪨≂∃⊬1C89)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":23,"operation_count":7,"complexity_ratio":3.2857142857142856,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2630,"base":16},"right_expr":{"type":"numeric_atoms","value":5523,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":5452,"base":16},"right_expr":{"type":"numeric_atoms","value":6366,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3365,"base":16},"right_expr":{"type":"numeric_atoms","value":7305,"base":16}}}}},"used_operators":["8w2t5hMYqp","rJVOvQCfKK","mqXw5SEYmG","NTOWxs364D","COABgblf1C","eLAdDNolq6","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-60D2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2630","layer":4},{"info":"number node, value=5523","layer":4},{"info":"compute binary expreesion, left_input=2630, right_input=5523, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8274","layer":3},{"info":"number node, value=5452","layer":4},{"info":"number node, value=6366","layer":4},{"info":"compute binary expreesion, left_input=5452, right_input=6366, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=1833","layer":3},{"info":"compute binary expreesion, left_input=-8274, right_input=1833, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":2},{"info":"number node, value=3365","layer":4},{"info":"number node, value=7305","layer":4},{"info":"compute binary expreesion, left_input=3365, right_input=7305, 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=-7778","layer":3},{"info":"compute unary expreesion, input=-7778, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=8262","layer":2},{"info":"compute binary expreesion, left_input=968, right_input=8262, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8262","layer":1},{"info":"compute unary expreesion, input=8262, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-24786","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩((∃⊬A46⩚⊴⇥∃⊬1593⫸⊐(∃⊬154C⊭↱∃⊬18DE))⨎(≤/(∃⊬D25⪨≂∃⊬1C89)))=∃⊬-60D2","reverse_text":"∃⊬-60D2=⊄⩳↩((∃⊬A46⩚⊴⇥∃⊬1593⫸⊐(∃⊬154C⊭↱∃⊬18DE))⨎(≤/(∃⊬D25⪨≂∃⊬1C89)))","cot":[{"info":"∃⊬A46⩚⊴⇥∃⊬1593=∃⊬-2052","layer":3},{"info":"∃⊬154C⊭↱∃⊬18DE=∃⊬729","layer":3},{"info":"∃⊬-2052⫸⊐∃⊬729=∃⊬3C8","layer":2},{"info":"∃⊬D25⪨≂∃⊬1C89=∃⊬-1E62","layer":3},{"info":"≤/∃⊬-1E62=∃⊬2046","layer":2},{"info":"∃⊬3C8⨎∃⊬2046=∃⊬2046","layer":1},{"info":"⊄⩳↩∃⊬2046=∃⊬-60D2","layer":0}]}
{"id":769,"expression_no_base_symbol":"⊙↵-(($1946$⨳⩥⨓$1545$)⋥≓≎$1924$∼$4729$/(⊥($1748$⩨$1388$)))","expression":"⊙↵-((∃⊬79A⨳⩥⨓∃⊬609)⋥≓≎∃⊬784∼∃⊬1279/(⊥(∃⊬6D4⩨∃⊬56C)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":79,"operation_count":7,"complexity_ratio":11.285714285714286,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1946,"base":16},"right_expr":{"type":"numeric_atoms","value":1545,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1924,"base":16},"right_expr":{"type":"numeric_atoms","value":4729,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1748,"base":16},"right_expr":{"type":"numeric_atoms","value":1388,"base":16}}}}},"used_operators":["oWn0xqSxBt","XhwjNDsVaA","Qy55tPpLXF","nCS4ZIUYfx","DyGG3AbaNP","Q3PJZHRvZv","2DlMacCsIx"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1946","layer":4},{"info":"number node, value=1545","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=1545, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-401","layer":3},{"info":"number node, value=1924","layer":4},{"info":"number node, value=4729","layer":4},{"info":"compute binary expreesion, left_input=1924, right_input=4729, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-401, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=nan","layer":2},{"info":"number node, value=1748","layer":4},{"info":"number node, value=1388","layer":4},{"info":"compute binary expreesion, left_input=1748, right_input=1388, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬79A⨳⩥⨓∃⊬609)⋥≓≎∃⊬784∼∃⊬1279/(⊥(∃⊬6D4⩨∃⊬56C)))=NaN","reverse_text":"NaN=⊙↵-((∃⊬79A⨳⩥⨓∃⊬609)⋥≓≎∃⊬784∼∃⊬1279/(⊥(∃⊬6D4⩨∃⊬56C)))","cot":[{"info":"∃⊬79A⨳⩥⨓∃⊬609=∃⊬-191","layer":3},{"info":"∃⊬784∼∃⊬1279=NaN","layer":3},{"info":"∃⊬-191⋥≓≎NaN=NaN","layer":2},{"info":"∃⊬6D4⩨∃⊬56C=∃⊬0","layer":3},{"info":"⊥∃⊬0=∃⊬0","layer":2},{"info":"NaN/∃⊬0=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":770,"expression_no_base_symbol":"⊙↵-(($1425$≧⫂∧$4714$⩨(⨰⫟⨤$1044$))⪘⫢(↽≂$2750$≎⊠⪸$4071$))","expression":"⊙↵-((∃⊬591≧⫂∧∃⊬126A⩨(⨰⫟⨤∃⊬414))⪘⫢(↽≂∃⊬ABE≎⊠⪸∃⊬FE7))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":3650,"operation_count":7,"complexity_ratio":521.4285714285714,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1425,"base":16},"right_expr":{"type":"numeric_atoms","value":4714,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1044,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2750,"base":16},"right_expr":{"type":"numeric_atoms","value":4071,"base":16}}}}},"used_operators":["oWn0xqSxBt","oacrs7FA3X","2DlMacCsIx","Ph9nP6C5qx","Tw270M8GLb","u6S6b8DprG","bJkvcejdHO"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1425","layer":4},{"info":"number node, value=4714","layer":4},{"info":"compute binary expreesion, left_input=1425, right_input=4714, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4241","layer":3},{"info":"number node, value=1044","layer":4},{"info":"compute unary expreesion, input=1044, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4241, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=2750","layer":4},{"info":"number node, value=4071","layer":4},{"info":"compute binary expreesion, left_input=2750, right_input=4071, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=711777","layer":3},{"info":"compute unary expreesion, input=711777, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-1423554","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1423554, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute 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":"⊙↵-((∃⊬591≧⫂∧∃⊬126A⩨(⨰⫟⨤∃⊬414))⪘⫢(↽≂∃⊬ABE≎⊠⪸∃⊬FE7))=NaN","reverse_text":"NaN=⊙↵-((∃⊬591≧⫂∧∃⊬126A⩨(⨰⫟⨤∃⊬414))⪘⫢(↽≂∃⊬ABE≎⊠⪸∃⊬FE7))","cot":[{"info":"∃⊬591≧⫂∧∃⊬126A=∃⊬1091","layer":3},{"info":"⨰⫟⨤∃⊬414=NaN","layer":3},{"info":"∃⊬1091⩨NaN=NaN","layer":2},{"info":"∃⊬ABE≎⊠⪸∃⊬FE7=∃⊬ADC61","layer":3},{"info":"↽≂∃⊬ADC61=∃⊬-15B8C2","layer":2},{"info":"NaN⪘⫢∃⊬-15B8C2=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":771,"expression_no_base_symbol":"($5172$⩚⊴⇥$1517$+($4855$⊪))*$2197$⪘⫢$7397$⨳⩥⨓$1972$⊴$1230$%((⫓⪴($2278$⨰$1135$))⊠≄⫣)","expression":"(∃⊬1434⩚⊴⇥∃⊬5ED+(∃⊬12F7⊪))*∃⊬895⪘⫢∃⊬1CE5⨳⩥⨓∃⊬7B4⊴∃⊬4CE%((⫓⪴(∃⊬8E6⨰∃⊬46F))⊠≄⫣)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3211,"operation_count":11,"complexity_ratio":291.90909090909093,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5172,"base":16},"right_expr":{"type":"numeric_atoms","value":1517,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4855,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2197,"base":16},"right_expr":{"type":"numeric_atoms","value":7397,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1972,"base":16},"right_expr":{"type":"numeric_atoms","value":1230,"base":16}}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2278,"base":16},"right_expr":{"type":"numeric_atoms","value":1135,"base":16}}}}},"used_operators":["k8jYdgA6NY","9HNa5Wba9A","W4YGzv6Whe","NTOWxs364D","zVYPLywUTj","nCS4ZIUYfx","oacrs7FA3X","Nsiff2A1zJ","DIvbN7qnHd","eLxqMNBOBk","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5172","layer":4},{"info":"number node, value=1517","layer":4},{"info":"compute binary expreesion, left_input=5172, right_input=1517, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-6810","layer":3},{"info":"number node, value=4855","layer":4},{"info":"compute unary expreesion, input=4855, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6810, right_input=0, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-6810","layer":2},{"info":"number node, value=2197","layer":4},{"info":"number node, value=7397","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=7397, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4270","layer":3},{"info":"number node, value=1972","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=1972, right_input=1230, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4270, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6810, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2278","layer":4},{"info":"number node, value=1135","layer":4},{"info":"compute binary expreesion, left_input=2278, right_input=1135, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1153","layer":3},{"info":"compute unary expreesion, input=1153, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1329409","layer":2},{"info":"compute unary expreesion, input=1329409, 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 = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬1434⩚⊴⇥∃⊬5ED+(∃⊬12F7⊪))*∃⊬895⪘⫢∃⊬1CE5⨳⩥⨓∃⊬7B4⊴∃⊬4CE%((⫓⪴(∃⊬8E6⨰∃⊬46F))⊠≄⫣)=NaN","reverse_text":"NaN=(∃⊬1434⩚⊴⇥∃⊬5ED+(∃⊬12F7⊪))*∃⊬895⪘⫢∃⊬1CE5⨳⩥⨓∃⊬7B4⊴∃⊬4CE%((⫓⪴(∃⊬8E6⨰∃⊬46F))⊠≄⫣)","cot":[{"info":"∃⊬1434⩚⊴⇥∃⊬5ED=∃⊬-1A9A","layer":3},{"info":"∃⊬12F7⊪=∃⊬0","layer":3},{"info":"∃⊬-1A9A+∃⊬0=∃⊬-1A9A","layer":2},{"info":"∃⊬895⪘⫢∃⊬1CE5=∃⊬10AE","layer":3},{"info":"∃⊬7B4⊴∃⊬4CE=NaN","layer":3},{"info":"∃⊬10AE⨳⩥⨓NaN=NaN","layer":2},{"info":"∃⊬-1A9A*NaN=NaN","layer":1},{"info":"∃⊬8E6⨰∃⊬46F=∃⊬481","layer":3},{"info":"⫓⪴∃⊬481=∃⊬144901","layer":2},{"info":"∃⊬144901⊠≄⫣=∃⊬0","layer":1},{"info":"NaN%∃⊬0=NaN","layer":0}]}
{"id":772,"expression_no_base_symbol":"⋗⩬⋾($1350$↬$2867$)⪘⫢(↽≂$4593$)⨰((⨰⫟⨤$2031$)⋫)","expression":"⋗⩬⋾(∃⊬546↬∃⊬B33)⪘⫢(↽≂∃⊬11F1)⨰((⨰⫟⨤∃⊬7EF)⋫)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":7307,"operation_count":7,"complexity_ratio":1043.857142857143,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1350,"base":16},"right_expr":{"type":"numeric_atoms","value":2867,"base":16}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4593,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2031,"base":16}}}}},"used_operators":["DpFCA1CohY","eewbuw0ToL","oacrs7FA3X","B5M0gjZbta","u6S6b8DprG","JL8yIekQnl","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1350","layer":4},{"info":"number node, value=2867","layer":4},{"info":"compute binary expreesion, left_input=1350, right_input=2867, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=4593","layer":4},{"info":"compute unary expreesion, input=4593, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9186","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9186, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2031","layer":4},{"info":"compute unary expreesion, input=2031, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"⋗⩬⋾(∃⊬546↬∃⊬B33)⪘⫢(↽≂∃⊬11F1)⨰((⨰⫟⨤∃⊬7EF)⋫)=NaN","reverse_text":"NaN=⋗⩬⋾(∃⊬546↬∃⊬B33)⪘⫢(↽≂∃⊬11F1)⨰((⨰⫟⨤∃⊬7EF)⋫)","cot":[{"info":"∃⊬546↬∃⊬B33=NaN","layer":3},{"info":"↽≂∃⊬11F1=∃⊬-23E2","layer":3},{"info":"NaN⪘⫢∃⊬-23E2=NaN","layer":2},{"info":"⨰⫟⨤∃⊬7EF=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":773,"expression_no_base_symbol":"((∥⊫$1903$)⋷$1603$+⇶⊼$4703$⪨≂$1269$∼$4415$∲⫓$5119$⪮%⊝$2776$)≫≃","expression":"((∥⊫∃⊬76F)⋷∃⊬643+⇶⊼∃⊬125F⪨≂∃⊬4F5∼∃⊬113F∲⫓∃⊬13FF⪮%⊝∃⊬AD8)≫≃","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":57,"operation_count":8,"complexity_ratio":7.125,"tree":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1903,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1603,"base":16},"right_expr":{"type":"numeric_atoms","value":4703,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1269,"base":16},"right_expr":{"type":"numeric_atoms","value":4415,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5119,"base":16},"right_expr":{"type":"numeric_atoms","value":2776,"base":16}}}}},"used_operators":["X99M06cbEe","sdazOOVcIp","23Mk6UjR3U","P8v4zCKN1o","TpPTUOHfaN","i8ToyICDmI","DyGG3AbaNP","IWmyXbctLI"],"dependent_operators":["2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1903","layer":4},{"info":"compute unary expreesion, input=1903, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2771","layer":3},{"info":"number node, value=1603","layer":4},{"info":"number node, value=4703","layer":4},{"info":"compute binary expreesion, left_input=1603, right_input=4703, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2771, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"number node, value=1269","layer":4},{"info":"number node, value=4415","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=4415, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=5119","layer":4},{"info":"number node, value=2776","layer":4},{"info":"compute binary expreesion, left_input=5119, right_input=2776, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10554","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10554, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"((∥⊫∃⊬76F)⋷∃⊬643+⇶⊼∃⊬125F⪨≂∃⊬4F5∼∃⊬113F∲⫓∃⊬13FF⪮%⊝∃⊬AD8)≫≃=NaN","reverse_text":"NaN=((∥⊫∃⊬76F)⋷∃⊬643+⇶⊼∃⊬125F⪨≂∃⊬4F5∼∃⊬113F∲⫓∃⊬13FF⪮%⊝∃⊬AD8)≫≃","cot":[{"info":"∥⊫∃⊬76F=∃⊬AD3","layer":3},{"info":"∃⊬643+⇶⊼∃⊬125F=NaN","layer":3},{"info":"∃⊬AD3⋷NaN=NaN","layer":2},{"info":"∃⊬4F5∼∃⊬113F=NaN","layer":3},{"info":"∃⊬13FF⪮%⊝∃⊬AD8=∃⊬293A","layer":3},{"info":"NaN∲⫓∃⊬293A=∃⊬0","layer":2},{"info":"NaN⪨≂∃⊬0=NaN","layer":1},{"info":"NaN≫≃=NaN","layer":0}]}
{"id":774,"expression_no_base_symbol":"(↔(↩($4505$↪⪝)))∲⫓(⪲⇎(↯⪼(∂$5052$)))","expression":"(↔(↩(∃⊬1199↪⪝)))∲⫓(⪲⇎(↯⪼(∂∃⊬13BC)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":773,"operation_count":7,"complexity_ratio":110.42857142857143,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":4505,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5052,"base":16}}}}},"used_operators":["i8ToyICDmI","ruOEQAzv1W","jLgFTUHLKL","l07mrZUIn9","XPYlsWDdGa","8jW3W4yZS5","Uaa54Peajs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp"],"result":"∃⊬-86","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4505","layer":4},{"info":"compute unary expreesion, input=4505, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=275624910","layer":3},{"info":"compute unary expreesion, input=275624910, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-inf","layer":2},{"info":"compute unary expreesion, input=-inf, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=5052","layer":4},{"info":"compute unary expreesion, input=5052, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-42","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-42, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-134","layer":0}],"base":16,"result_base":16,"text":"(↔(↩(∃⊬1199↪⪝)))∲⫓(⪲⇎(↯⪼(∂∃⊬13BC)))=∃⊬-86","reverse_text":"∃⊬-86=(↔(↩(∃⊬1199↪⪝)))∲⫓(⪲⇎(↯⪼(∂∃⊬13BC)))","cot":[{"info":"∃⊬1199↪⪝=∃⊬106DB3CE","layer":3},{"info":"↩∃⊬106DB3CE=-Inf","layer":2},{"info":"↔-Inf=∃⊬-86","layer":1},{"info":"∂∃⊬13BC=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"⪲⇎∃⊬-15=∃⊬-2A","layer":1},{"info":"∃⊬-86∲⫓∃⊬-2A=∃⊬-86","layer":0}]}
{"id":775,"expression_no_base_symbol":"⊙↵-(($7170$⨐⩸⫘$3274$)⋝⋈⪟($1321$⫡⨏$1974$)⩨$6549$⨪↰⇹$4689$≎⊠⪸($6123$⊭↱$8853$))","expression":"⊙↵-((∃⊬1C02⨐⩸⫘∃⊬CCA)⋝⋈⪟(∃⊬529⫡⨏∃⊬7B6)⩨∃⊬1995⨪↰⇹∃⊬1251≎⊠⪸(∃⊬17EB⊭↱∃⊬2295))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6867,"operation_count":8,"complexity_ratio":858.375,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7170,"base":16},"right_expr":{"type":"numeric_atoms","value":3274,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1321,"base":16},"right_expr":{"type":"numeric_atoms","value":1974,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":6549,"base":16},"right_expr":{"type":"numeric_atoms","value":4689,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6123,"base":16},"right_expr":{"type":"numeric_atoms","value":8853,"base":16}}}}},"used_operators":["oWn0xqSxBt","2DlMacCsIx","2DDjHMKMc0","fu6greOZ01","QMFrweE19q","bJkvcejdHO","tmPS8pqC7x","COABgblf1C"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7170","layer":4},{"info":"number node, value=3274","layer":4},{"info":"compute binary expreesion, left_input=7170, right_input=3274, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1321","layer":4},{"info":"number node, value=1974","layer":4},{"info":"compute binary expreesion, left_input=1321, right_input=1974, 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=11336","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=11336, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=6549","layer":4},{"info":"number node, value=4689","layer":4},{"info":"compute binary expreesion, left_input=6549, right_input=4689, 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=6549","layer":3},{"info":"number node, value=6123","layer":4},{"info":"number node, value=8853","layer":4},{"info":"compute binary expreesion, left_input=6123, right_input=8853, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=5465","layer":3},{"info":"compute binary expreesion, left_input=6549, right_input=5465, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1695718","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1695718, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬1C02⨐⩸⫘∃⊬CCA)⋝⋈⪟(∃⊬529⫡⨏∃⊬7B6)⩨∃⊬1995⨪↰⇹∃⊬1251≎⊠⪸(∃⊬17EB⊭↱∃⊬2295))=NaN","reverse_text":"NaN=⊙↵-((∃⊬1C02⨐⩸⫘∃⊬CCA)⋝⋈⪟(∃⊬529⫡⨏∃⊬7B6)⩨∃⊬1995⨪↰⇹∃⊬1251≎⊠⪸(∃⊬17EB⊭↱∃⊬2295))","cot":[{"info":"∃⊬1C02⨐⩸⫘∃⊬CCA=NaN","layer":3},{"info":"∃⊬529⫡⨏∃⊬7B6=∃⊬2C48","layer":3},{"info":"NaN⋝⋈⪟∃⊬2C48=NaN","layer":2},{"info":"∃⊬1995⨪↰⇹∃⊬1251=∃⊬1995","layer":3},{"info":"∃⊬17EB⊭↱∃⊬2295=∃⊬1559","layer":3},{"info":"∃⊬1995≎⊠⪸∃⊬1559=∃⊬19DFE6","layer":2},{"info":"NaN⩨∃⊬19DFE6=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":776,"expression_no_base_symbol":"(($5184$-$3039$)⫸⊐$1369$⫸⊐$4495$⪨≂(≤/($7022$+$2613$)))∲⫓((∥⊫$7462$⨎$2346$)⋷(⊄⩳↩$1146$)%($3700$≦≮≮))","expression":"((∃⊬1440-∃⊬BDF)⫸⊐∃⊬559⫸⊐∃⊬118F⪨≂(≤/(∃⊬1B6E+∃⊬A35)))∲⫓((∥⊫∃⊬1D26⨎∃⊬92A)⋷(⊄⩳↩∃⊬47A)%(∃⊬E74≦≮≮))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":72,"operation_count":13,"complexity_ratio":5.538461538461538,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":5184,"base":16},"right_expr":{"type":"numeric_atoms","value":3039,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1369,"base":16},"right_expr":{"type":"numeric_atoms","value":4495,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7022,"base":16},"right_expr":{"type":"numeric_atoms","value":2613,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7462,"base":16},"right_expr":{"type":"numeric_atoms","value":2346,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1146,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3700,"base":16}}}}},"used_operators":["i8ToyICDmI","sdazOOVcIp","mqXw5SEYmG","rysDP5nf3Z","eLAdDNolq6","W4YGzv6Whe","23Mk6UjR3U","P8v4zCKN1o","rJVOvQCfKK","k8jYdgA6NY","8w2t5hMYqp","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬274E2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5184","layer":4},{"info":"number node, value=3039","layer":4},{"info":"compute binary expreesion, left_input=5184, right_input=3039, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2145","layer":3},{"info":"number node, value=1369","layer":4},{"info":"number node, value=4495","layer":4},{"info":"compute binary expreesion, left_input=1369, right_input=4495, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=17855","layer":3},{"info":"compute binary expreesion, left_input=2145, right_input=17855, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=71295","layer":2},{"info":"number node, value=7022","layer":4},{"info":"number node, value=2613","layer":4},{"info":"compute binary expreesion, left_input=7022, right_input=2613, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9635","layer":3},{"info":"compute unary expreesion, input=9635, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-9151","layer":2},{"info":"compute binary expreesion, left_input=71295, right_input=-9151, 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=160994","layer":1},{"info":"number node, value=7462","layer":4},{"info":"number node, value=2346","layer":4},{"info":"compute binary expreesion, left_input=7462, right_input=2346, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2346","layer":3},{"info":"compute unary expreesion, input=2346, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3214","layer":2},{"info":"number node, value=1146","layer":4},{"info":"compute unary expreesion, input=1146, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3438","layer":3},{"info":"number node, value=3700","layer":4},{"info":"compute unary expreesion, input=3700, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11100","layer":3},{"info":"compute binary expreesion, left_input=-3438, right_input=-11100, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-3438","layer":2},{"info":"compute binary expreesion, left_input=3214, right_input=-3438, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-10090","layer":1},{"info":"compute binary expreesion, left_input=160994, right_input=-10090, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=160994","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1440-∃⊬BDF)⫸⊐∃⊬559⫸⊐∃⊬118F⪨≂(≤/(∃⊬1B6E+∃⊬A35)))∲⫓((∥⊫∃⊬1D26⨎∃⊬92A)⋷(⊄⩳↩∃⊬47A)%(∃⊬E74≦≮≮))=∃⊬274E2","reverse_text":"∃⊬274E2=((∃⊬1440-∃⊬BDF)⫸⊐∃⊬559⫸⊐∃⊬118F⪨≂(≤/(∃⊬1B6E+∃⊬A35)))∲⫓((∥⊫∃⊬1D26⨎∃⊬92A)⋷(⊄⩳↩∃⊬47A)%(∃⊬E74≦≮≮))","cot":[{"info":"∃⊬1440-∃⊬BDF=∃⊬861","layer":3},{"info":"∃⊬559⫸⊐∃⊬118F=∃⊬45BF","layer":3},{"info":"∃⊬861⫸⊐∃⊬45BF=∃⊬1167F","layer":2},{"info":"∃⊬1B6E+∃⊬A35=∃⊬25A3","layer":3},{"info":"≤/∃⊬25A3=∃⊬-23BF","layer":2},{"info":"∃⊬1167F⪨≂∃⊬-23BF=∃⊬274E2","layer":1},{"info":"∃⊬1D26⨎∃⊬92A=∃⊬92A","layer":3},{"info":"∥⊫∃⊬92A=∃⊬C8E","layer":2},{"info":"⊄⩳↩∃⊬47A=∃⊬-D6E","layer":3},{"info":"∃⊬E74≦≮≮=∃⊬-2B5C","layer":3},{"info":"∃⊬-D6E%∃⊬-2B5C=∃⊬-D6E","layer":2},{"info":"∃⊬C8E⋷∃⊬-D6E=∃⊬-276A","layer":1},{"info":"∃⊬274E2∲⫓∃⊬-276A=∃⊬274E2","layer":0}]}
{"id":777,"expression_no_base_symbol":"(($1552$⨟⋌⩍$5833$∲⫓$1063$⨓$2402$)⪄((≦∁$2280$)⫡⨏$4605$↺$1402$))⪛((⨑⩽⪐($3849$⋷$3594$))⨎(↯⪼$1334$)≭$1605$⪮%⊝$6890$)","expression":"((∃⊬610⨟⋌⩍∃⊬16C9∲⫓∃⊬427⨓∃⊬962)⪄((≦∁∃⊬8E8)⫡⨏∃⊬11FD↺∃⊬57A))⪛((⨑⩽⪐(∃⊬F09⋷∃⊬E0A))⨎(↯⪼∃⊬536)≭∃⊬645⪮%⊝∃⊬1AEA)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2495,"operation_count":14,"complexity_ratio":178.21428571428572,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1552,"base":16},"right_expr":{"type":"numeric_atoms","value":5833,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1063,"base":16},"right_expr":{"type":"numeric_atoms","value":2402,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2280,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":4605,"base":16},"right_expr":{"type":"numeric_atoms","value":1402,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3849,"base":16},"right_expr":{"type":"numeric_atoms","value":3594,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1334,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1605,"base":16},"right_expr":{"type":"numeric_atoms","value":6890,"base":16}}}}},"used_operators":["uFcxV4UQCh","SUmda5xLS4","i8ToyICDmI","rGHVDoGpnC","3ViojmjbAp","QMFrweE19q","9ICcGScMcE","7j4O788W3g","rJVOvQCfKK","AF7qkfDlqP","23Mk6UjR3U","rxpJgHHUmx","8jW3W4yZS5","IWmyXbctLI"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1552","layer":4},{"info":"number node, value=5833","layer":4},{"info":"compute binary expreesion, left_input=1552, right_input=5833, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1063","layer":4},{"info":"number node, value=2402","layer":4},{"info":"compute binary expreesion, left_input=1063, right_input=2402, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2405","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2405, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=2280","layer":4},{"info":"compute unary expreesion, input=2280, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2280","layer":3},{"info":"number node, value=4605","layer":4},{"info":"number node, value=1402","layer":4},{"info":"compute binary expreesion, left_input=4605, right_input=1402, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1402","layer":3},{"info":"compute binary expreesion, left_input=2280, right_input=1402, 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=14987","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14987, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=3849","layer":4},{"info":"number node, value=3594","layer":4},{"info":"compute binary expreesion, left_input=3849, right_input=3594, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3339","layer":3},{"info":"compute unary expreesion, input=3339, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-3066","layer":2},{"info":"number node, value=1334","layer":4},{"info":"compute unary expreesion, input=1334, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1605","layer":4},{"info":"number node, value=6890","layer":4},{"info":"compute binary expreesion, left_input=1605, right_input=6890, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3526","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=3526, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-3066, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=3979, 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":"((∃⊬610⨟⋌⩍∃⊬16C9∲⫓∃⊬427⨓∃⊬962)⪄((≦∁∃⊬8E8)⫡⨏∃⊬11FD↺∃⊬57A))⪛((⨑⩽⪐(∃⊬F09⋷∃⊬E0A))⨎(↯⪼∃⊬536)≭∃⊬645⪮%⊝∃⊬1AEA)=NaN","reverse_text":"NaN=((∃⊬610⨟⋌⩍∃⊬16C9∲⫓∃⊬427⨓∃⊬962)⪄((≦∁∃⊬8E8)⫡⨏∃⊬11FD↺∃⊬57A))⪛((⨑⩽⪐(∃⊬F09⋷∃⊬E0A))⨎(↯⪼∃⊬536)≭∃⊬645⪮%⊝∃⊬1AEA)","cot":[{"info":"∃⊬610⨟⋌⩍∃⊬16C9=NaN","layer":3},{"info":"∃⊬427⨓∃⊬962=∃⊬-965","layer":3},{"info":"NaN∲⫓∃⊬-965=NaN","layer":2},{"info":"≦∁∃⊬8E8=∃⊬8E8","layer":3},{"info":"∃⊬11FD↺∃⊬57A=∃⊬57A","layer":3},{"info":"∃⊬8E8⫡⨏∃⊬57A=∃⊬3A8B","layer":2},{"info":"NaN⪄∃⊬3A8B=∃⊬F8B","layer":1},{"info":"∃⊬F09⋷∃⊬E0A=∃⊬D0B","layer":3},{"info":"⨑⩽⪐∃⊬D0B=∃⊬-BFA","layer":2},{"info":"↯⪼∃⊬536=∃⊬-15","layer":3},{"info":"∃⊬645⪮%⊝∃⊬1AEA=∃⊬DC6","layer":3},{"info":"∃⊬-15≭∃⊬DC6=NaN","layer":2},{"info":"∃⊬-BFA⨎NaN=NaN","layer":1},{"info":"∃⊬F8B⪛NaN=NaN","layer":0}]}
{"id":778,"expression_no_base_symbol":"(↽≂($2362$*$6598$))∑⇟⊟((⨞⊢$2356$)⊉≛↸($6059$⩨$4567$))⊘","expression":"(↽≂(∃⊬93A*∃⊬19C6))∑⇟⊟((⨞⊢∃⊬934)⊉≛↸(∃⊬17AB⩨∃⊬11D7))⊘","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":2397,"operation_count":7,"complexity_ratio":342.42857142857144,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2362,"base":16},"right_expr":{"type":"numeric_atoms","value":6598,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":2356,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":6059,"base":16},"right_expr":{"type":"numeric_atoms","value":4567,"base":16}}}}},"used_operators":["gu96TGCTMs","U7g4x0WXJJ","u6S6b8DprG","9HNa5Wba9A","DZ8iAZOCBD","xUOZtlo3hN","2DlMacCsIx"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2362","layer":4},{"info":"number node, value=6598","layer":4},{"info":"compute binary expreesion, left_input=2362, right_input=6598, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=15584476","layer":3},{"info":"compute unary expreesion, input=15584476, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-31168952","layer":2},{"info":"number node, value=2356","layer":4},{"info":"compute unary expreesion, input=2356, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2530","layer":3},{"info":"number node, value=6059","layer":4},{"info":"number node, value=4567","layer":4},{"info":"compute binary expreesion, left_input=6059, right_input=4567, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2530, right_input=0, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-31168952, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=-31168952","layer":1},{"info":"compute unary expreesion, input=-31168952, 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":"(↽≂(∃⊬93A*∃⊬19C6))∑⇟⊟((⨞⊢∃⊬934)⊉≛↸(∃⊬17AB⩨∃⊬11D7))⊘=∃⊬-1","reverse_text":"∃⊬-1=(↽≂(∃⊬93A*∃⊬19C6))∑⇟⊟((⨞⊢∃⊬934)⊉≛↸(∃⊬17AB⩨∃⊬11D7))⊘","cot":[{"info":"∃⊬93A*∃⊬19C6=∃⊬EDCCDC","layer":3},{"info":"↽≂∃⊬EDCCDC=∃⊬-1DB99B8","layer":2},{"info":"⨞⊢∃⊬934=∃⊬-9E2","layer":3},{"info":"∃⊬17AB⩨∃⊬11D7=∃⊬0","layer":3},{"info":"∃⊬-9E2⊉≛↸∃⊬0=∃⊬0","layer":2},{"info":"∃⊬-1DB99B8∑⇟⊟∃⊬0=∃⊬-1DB99B8","layer":1},{"info":"∃⊬-1DB99B8⊘=∃⊬-1","layer":0}]}
{"id":779,"expression_no_base_symbol":"(($1128$⨎$1169$⨵⪆$1226$⊭↱$1032$)⇼⇔∾($1265$⫌⩹⨱)∼(≦∁$2310$))↺(($2586$≋⫹)∲⫓$3646$≭$6802$)⫥∨⫟($9216$↺$1536$⇼⇔∾($2624$⊉≛↸$1961$))","expression":"((∃⊬468⨎∃⊬491⨵⪆∃⊬4CA⊭↱∃⊬408)⇼⇔∾(∃⊬4F1⫌⩹⨱)∼(≦∁∃⊬906))↺((∃⊬A1A≋⫹)∲⫓∃⊬E3E≭∃⊬1A92)⫥∨⫟(∃⊬2400↺∃⊬600⇼⇔∾(∃⊬A40⊉≛↸∃⊬7A9))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":265,"operation_count":15,"complexity_ratio":17.666666666666668,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1128,"base":16},"right_expr":{"type":"numeric_atoms","value":1169,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1226,"base":16},"right_expr":{"type":"numeric_atoms","value":1032,"base":16}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1265,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2310,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2586,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3646,"base":16},"right_expr":{"type":"numeric_atoms","value":6802,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":9216,"base":16},"right_expr":{"type":"numeric_atoms","value":1536,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2624,"base":16},"right_expr":{"type":"numeric_atoms","value":1961,"base":16}}}}},"used_operators":["7j4O788W3g","tifHPKVTfV","2DQ55sFlQl","rJVOvQCfKK","COABgblf1C","DyGG3AbaNP","EBcxylXtPf","9ICcGScMcE","KYD54nUTWz","i8ToyICDmI","N41Kp7NANJ","rxpJgHHUmx","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1128","layer":4},{"info":"number node, value=1169","layer":4},{"info":"compute binary expreesion, left_input=1128, right_input=1169, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1169","layer":3},{"info":"number node, value=1226","layer":4},{"info":"number node, value=1032","layer":4},{"info":"compute binary expreesion, left_input=1226, right_input=1032, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-383","layer":3},{"info":"compute binary expreesion, left_input=1169, right_input=-383, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1265","layer":4},{"info":"compute unary expreesion, input=1265, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=3931","layer":3},{"info":"number node, value=2310","layer":4},{"info":"compute unary expreesion, input=2310, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2310","layer":3},{"info":"compute binary expreesion, left_input=3931, right_input=2310, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=2586","layer":4},{"info":"compute unary expreesion, input=2586, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-5172","layer":3},{"info":"number node, value=3646","layer":4},{"info":"number node, value=6802","layer":4},{"info":"compute binary expreesion, left_input=3646, right_input=6802, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-5172, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=9216","layer":4},{"info":"number node, value=1536","layer":4},{"info":"compute binary expreesion, left_input=9216, right_input=1536, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1536","layer":3},{"info":"number node, value=2624","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=2624, right_input=1961, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5248","layer":3},{"info":"compute binary expreesion, left_input=1536, right_input=5248, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3712","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3712, 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 = 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":"((∃⊬468⨎∃⊬491⨵⪆∃⊬4CA⊭↱∃⊬408)⇼⇔∾(∃⊬4F1⫌⩹⨱)∼(≦∁∃⊬906))↺((∃⊬A1A≋⫹)∲⫓∃⊬E3E≭∃⊬1A92)⫥∨⫟(∃⊬2400↺∃⊬600⇼⇔∾(∃⊬A40⊉≛↸∃⊬7A9))=NaN","reverse_text":"NaN=((∃⊬468⨎∃⊬491⨵⪆∃⊬4CA⊭↱∃⊬408)⇼⇔∾(∃⊬4F1⫌⩹⨱)∼(≦∁∃⊬906))↺((∃⊬A1A≋⫹)∲⫓∃⊬E3E≭∃⊬1A92)⫥∨⫟(∃⊬2400↺∃⊬600⇼⇔∾(∃⊬A40⊉≛↸∃⊬7A9))","cot":[{"info":"∃⊬468⨎∃⊬491=∃⊬491","layer":3},{"info":"∃⊬4CA⊭↱∃⊬408=∃⊬-17F","layer":3},{"info":"∃⊬491⨵⪆∃⊬-17F=∃⊬A0","layer":2},{"info":"∃⊬4F1⫌⩹⨱=∃⊬F5B","layer":3},{"info":"≦∁∃⊬906=∃⊬906","layer":3},{"info":"∃⊬F5B∼∃⊬906=NaN","layer":2},{"info":"∃⊬A0⇼⇔∾NaN=NaN","layer":1},{"info":"∃⊬A1A≋⫹=∃⊬-1434","layer":3},{"info":"∃⊬E3E≭∃⊬1A92=NaN","layer":3},{"info":"∃⊬-1434∲⫓NaN=NaN","layer":2},{"info":"∃⊬2400↺∃⊬600=∃⊬600","layer":3},{"info":"∃⊬A40⊉≛↸∃⊬7A9=∃⊬1480","layer":3},{"info":"∃⊬600⇼⇔∾∃⊬1480=∃⊬E80","layer":2},{"info":"NaN⫥∨⫟∃⊬E80=NaN","layer":1},{"info":"NaN↺NaN=NaN","layer":0}]}
{"id":780,"expression_no_base_symbol":"((⨈⫕(⪝⪂⫅$6082$))⫥∨⫟($1621$⨽$4046$⊉≛↸(≦∁$4219$)))⪘⫢(⪲⇎($2696$≭$1937$↺$1861$⋝⋈⪟$5014$))","expression":"((⨈⫕(⪝⪂⫅∃⊬17C2))⫥∨⫟(∃⊬655⨽∃⊬FCE⊉≛↸(≦∁∃⊬107B)))⪘⫢(⪲⇎(∃⊬A88≭∃⊬791↺∃⊬745⋝⋈⪟∃⊬1396))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2342,"operation_count":11,"complexity_ratio":212.9090909090909,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":6082,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1621,"base":16},"right_expr":{"type":"numeric_atoms","value":4046,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4219,"base":16}}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2696,"base":16},"right_expr":{"type":"numeric_atoms","value":1937,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1861,"base":16},"right_expr":{"type":"numeric_atoms","value":5014,"base":16}}}}},"used_operators":["oacrs7FA3X","KYD54nUTWz","megm06wKyl","XTarYq4gQB","DZ8iAZOCBD","8HhzD0ZcuI","9ICcGScMcE","XPYlsWDdGa","7j4O788W3g","rxpJgHHUmx","2DDjHMKMc0"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6082","layer":4},{"info":"compute unary expreesion, input=6082, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-894054","layer":3},{"info":"compute unary expreesion, input=-894054, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1621","layer":4},{"info":"number node, value=4046","layer":4},{"info":"compute binary expreesion, left_input=1621, right_input=4046, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7893747","layer":3},{"info":"number node, value=4219","layer":4},{"info":"compute unary expreesion, input=4219, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4219","layer":3},{"info":"compute binary expreesion, left_input=-7893747, right_input=4219, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-4219","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=-4219, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=2696","layer":4},{"info":"number node, value=1937","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=1937, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1861","layer":4},{"info":"number node, value=5014","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=5014, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1861","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1861, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1861","layer":2},{"info":"compute unary expreesion, input=1861, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3722","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3722, 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":"((⨈⫕(⪝⪂⫅∃⊬17C2))⫥∨⫟(∃⊬655⨽∃⊬FCE⊉≛↸(≦∁∃⊬107B)))⪘⫢(⪲⇎(∃⊬A88≭∃⊬791↺∃⊬745⋝⋈⪟∃⊬1396))=NaN","reverse_text":"NaN=((⨈⫕(⪝⪂⫅∃⊬17C2))⫥∨⫟(∃⊬655⨽∃⊬FCE⊉≛↸(≦∁∃⊬107B)))⪘⫢(⪲⇎(∃⊬A88≭∃⊬791↺∃⊬745⋝⋈⪟∃⊬1396))","cot":[{"info":"⪝⪂⫅∃⊬17C2=∃⊬-DA466","layer":3},{"info":"⨈⫕∃⊬-DA466=∃⊬-15","layer":2},{"info":"∃⊬655⨽∃⊬FCE=∃⊬-7872F3","layer":3},{"info":"≦∁∃⊬107B=∃⊬107B","layer":3},{"info":"∃⊬-7872F3⊉≛↸∃⊬107B=∃⊬-107B","layer":2},{"info":"∃⊬-15⫥∨⫟∃⊬-107B=NaN","layer":1},{"info":"∃⊬A88≭∃⊬791=NaN","layer":3},{"info":"∃⊬745⋝⋈⪟∃⊬1396=∃⊬745","layer":3},{"info":"NaN↺∃⊬745=∃⊬745","layer":2},{"info":"⪲⇎∃⊬745=∃⊬E8A","layer":1},{"info":"NaN⪘⫢∃⊬E8A=NaN","layer":0}]}
{"id":781,"expression_no_base_symbol":"(($3292$∸)⪮%⊝$1593$⪮%⊝$4092$⨎(($5461$⩠)∲⫓($1421$≣⋋)))⨰($2292$⇷$2659$⩨(≦∁$5750$))⊴(≤/$2297$⨓$6935$)","expression":"((∃⊬CDC∸)⪮%⊝∃⊬639⪮%⊝∃⊬FFC⨎((∃⊬1555⩠)∲⫓(∃⊬58D≣⋋)))⨰(∃⊬8F4⇷∃⊬A63⩨(≦∁∃⊬1676))⊴(≤/∃⊬8F9⨓∃⊬1B17)","highest_n_order":3,"priority_hierarchical_complexity":11,"normalized_expansion_degree":47204,"operation_count":14,"complexity_ratio":3371.714285714286,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":3292,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1593,"base":16},"right_expr":{"type":"numeric_atoms","value":4092,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":5461,"base":16}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1421,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2292,"base":16},"right_expr":{"type":"numeric_atoms","value":2659,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":5750,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2297,"base":16},"right_expr":{"type":"numeric_atoms","value":6935,"base":16}}}}},"used_operators":["eewbuw0ToL","rJVOvQCfKK","IWmyXbctLI","o20kRiQErp","i8ToyICDmI","sJAwomhLZr","Tcnh7f0tEr","Nsiff2A1zJ","2DlMacCsIx","mp7IySMOzn","9ICcGScMcE","eLAdDNolq6","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3292","layer":4},{"info":"compute unary expreesion, input=3292, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1593","layer":4},{"info":"number node, value=4092","layer":4},{"info":"compute binary expreesion, left_input=1593, right_input=4092, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3502","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=3502, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=670","layer":2},{"info":"number node, value=5461","layer":4},{"info":"compute unary expreesion, input=5461, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=0, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=670, 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":1},{"info":"number node, value=2292","layer":4},{"info":"number node, value=2659","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=2659, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5318","layer":3},{"info":"number node, value=5750","layer":4},{"info":"compute unary expreesion, input=5750, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=5750","layer":3},{"info":"compute binary expreesion, left_input=5318, right_input=5750, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":2},{"info":"number node, value=2297","layer":4},{"info":"number node, value=6935","layer":4},{"info":"compute binary expreesion, left_input=2297, right_input=6935, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-6938","layer":3},{"info":"compute unary expreesion, input=-6938, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=7422","layer":2},{"info":"compute binary expreesion, left_input=-3, right_input=7422, 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 = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬CDC∸)⪮%⊝∃⊬639⪮%⊝∃⊬FFC⨎((∃⊬1555⩠)∲⫓(∃⊬58D≣⋋)))⨰(∃⊬8F4⇷∃⊬A63⩨(≦∁∃⊬1676))⊴(≤/∃⊬8F9⨓∃⊬1B17)=NaN","reverse_text":"NaN=((∃⊬CDC∸)⪮%⊝∃⊬639⪮%⊝∃⊬FFC⨎((∃⊬1555⩠)∲⫓(∃⊬58D≣⋋)))⨰(∃⊬8F4⇷∃⊬A63⩨(≦∁∃⊬1676))⊴(≤/∃⊬8F9⨓∃⊬1B17)","cot":[{"info":"∃⊬CDC∸=∃⊬B1","layer":3},{"info":"∃⊬639⪮%⊝∃⊬FFC=∃⊬DAE","layer":3},{"info":"∃⊬B1⪮%⊝∃⊬DAE=∃⊬29E","layer":2},{"info":"∃⊬1555⩠=∃⊬0","layer":3},{"info":"∃⊬58D≣⋋=∃⊬0","layer":3},{"info":"∃⊬0∲⫓∃⊬0=∃⊬0","layer":2},{"info":"∃⊬29E⨎∃⊬0=∃⊬0","layer":1},{"info":"∃⊬8F4⇷∃⊬A63=∃⊬14C6","layer":3},{"info":"≦∁∃⊬1676=∃⊬1676","layer":3},{"info":"∃⊬14C6⩨∃⊬1676=∃⊬-3","layer":2},{"info":"∃⊬8F9⨓∃⊬1B17=∃⊬-1B1A","layer":3},{"info":"≤/∃⊬-1B1A=∃⊬1CFE","layer":2},{"info":"∃⊬-3⊴∃⊬1CFE=NaN","layer":1},{"info":"∃⊬0⨰NaN=NaN","layer":0}]}
{"id":782,"expression_no_base_symbol":"(⨰⫟⨤($3538$⨳⩥⨓$2515$))⨟⋌⩍(⫓⪴($2944$≭$1877$))⊭↱(⪝⪂⫅($5610$⊉≛↸$1164$))⫥∨⫟(∂(⊥$3048$))","expression":"(⨰⫟⨤(∃⊬DD2⨳⩥⨓∃⊬9D3))⨟⋌⩍(⫓⪴(∃⊬B80≭∃⊬755))⊭↱(⪝⪂⫅(∃⊬15EA⊉≛↸∃⊬48C))⫥∨⫟(∂(⊥∃⊬BE8))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":5304,"operation_count":11,"complexity_ratio":482.1818181818182,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3538,"base":16},"right_expr":{"type":"numeric_atoms","value":2515,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2944,"base":16},"right_expr":{"type":"numeric_atoms","value":1877,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5610,"base":16},"right_expr":{"type":"numeric_atoms","value":1164,"base":16}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3048,"base":16}}}}},"used_operators":["COABgblf1C","rGHVDoGpnC","Tw270M8GLb","nCS4ZIUYfx","eLxqMNBOBk","rxpJgHHUmx","KYD54nUTWz","XTarYq4gQB","DZ8iAZOCBD","Uaa54Peajs","Q3PJZHRvZv"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","8w2t5hMYqp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3538","layer":4},{"info":"number node, value=2515","layer":4},{"info":"compute binary expreesion, left_input=3538, right_input=2515, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1023","layer":3},{"info":"compute unary expreesion, input=-1023, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2944","layer":4},{"info":"number node, value=1877","layer":4},{"info":"compute binary expreesion, left_input=2944, right_input=1877, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5610","layer":4},{"info":"number node, value=1164","layer":4},{"info":"compute binary expreesion, left_input=5610, right_input=1164, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11220","layer":3},{"info":"compute unary expreesion, input=11220, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1649340","layer":2},{"info":"number node, value=3048","layer":4},{"info":"compute unary expreesion, input=3048, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"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":2},{"info":"compute binary expreesion, left_input=-1649340, right_input=nan, 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 = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⨰⫟⨤(∃⊬DD2⨳⩥⨓∃⊬9D3))⨟⋌⩍(⫓⪴(∃⊬B80≭∃⊬755))⊭↱(⪝⪂⫅(∃⊬15EA⊉≛↸∃⊬48C))⫥∨⫟(∂(⊥∃⊬BE8))=NaN","reverse_text":"NaN=(⨰⫟⨤(∃⊬DD2⨳⩥⨓∃⊬9D3))⨟⋌⩍(⫓⪴(∃⊬B80≭∃⊬755))⊭↱(⪝⪂⫅(∃⊬15EA⊉≛↸∃⊬48C))⫥∨⫟(∂(⊥∃⊬BE8))","cot":[{"info":"∃⊬DD2⨳⩥⨓∃⊬9D3=∃⊬-3FF","layer":3},{"info":"⨰⫟⨤∃⊬-3FF=NaN","layer":2},{"info":"∃⊬B80≭∃⊬755=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"NaN⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬15EA⊉≛↸∃⊬48C=∃⊬2BD4","layer":3},{"info":"⪝⪂⫅∃⊬2BD4=∃⊬-192ABC","layer":2},{"info":"⊥∃⊬BE8=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"∃⊬-192ABC⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":783,"expression_no_base_symbol":"(((⩦⩻⨪$3565$)/$1287$*$1542$)%($1393$⨓$2416$)⨪↰⇹($1581$⨓$1514$))%(((⨵≀≌$5386$)⋥≓≎($7014$+$1186$))⫩⊇)","expression":"(((⩦⩻⨪∃⊬DED)/∃⊬507*∃⊬606)%(∃⊬571⨓∃⊬970)⨪↰⇹(∃⊬62D⨓∃⊬5EA))%(((⨵≀≌∃⊬150A)⋥≓≎(∃⊬1B66+∃⊬4A2))⫩⊇)","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7662,"operation_count":12,"complexity_ratio":638.5,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":3565,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1287,"base":16},"right_expr":{"type":"numeric_atoms","value":1542,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1393,"base":16},"right_expr":{"type":"numeric_atoms","value":2416,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1581,"base":16},"right_expr":{"type":"numeric_atoms","value":1514,"base":16}}}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":5386,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":7014,"base":16},"right_expr":{"type":"numeric_atoms","value":1186,"base":16}}}}},"used_operators":["k8jYdgA6NY","XhwjNDsVaA","2td37pGCOC","9HNa5Wba9A","tmPS8pqC7x","3ViojmjbAp","BjRHVeLaeN","Qy55tPpLXF","srAu1WTS94","W4YGzv6Whe"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rJVOvQCfKK","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3565","layer":4},{"info":"compute unary expreesion, input=3565, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=3565","layer":3},{"info":"number node, value=1287","layer":4},{"info":"number node, value=1542","layer":4},{"info":"compute binary expreesion, left_input=1287, right_input=1542, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1984554","layer":3},{"info":"compute binary expreesion, left_input=3565, right_input=1984554, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=1393","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=1393, right_input=2416, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2419","layer":3},{"info":"number node, value=1581","layer":4},{"info":"number node, value=1514","layer":4},{"info":"compute binary expreesion, left_input=1581, right_input=1514, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1517","layer":3},{"info":"compute binary expreesion, left_input=-2419, right_input=-1517, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=2419","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2419, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":1},{"info":"number node, value=5386","layer":4},{"info":"compute unary expreesion, input=5386, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-16158","layer":3},{"info":"number node, value=7014","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=7014, right_input=1186, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8200","layer":3},{"info":"compute binary expreesion, left_input=-16158, right_input=8200, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-25","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=-25, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"(((⩦⩻⨪∃⊬DED)/∃⊬507*∃⊬606)%(∃⊬571⨓∃⊬970)⨪↰⇹(∃⊬62D⨓∃⊬5EA))%(((⨵≀≌∃⊬150A)⋥≓≎(∃⊬1B66+∃⊬4A2))⫩⊇)=∃⊬0","reverse_text":"∃⊬0=(((⩦⩻⨪∃⊬DED)/∃⊬507*∃⊬606)%(∃⊬571⨓∃⊬970)⨪↰⇹(∃⊬62D⨓∃⊬5EA))%(((⨵≀≌∃⊬150A)⋥≓≎(∃⊬1B66+∃⊬4A2))⫩⊇)","cot":[{"info":"⩦⩻⨪∃⊬DED=∃⊬DED","layer":3},{"info":"∃⊬507*∃⊬606=∃⊬1E482A","layer":3},{"info":"∃⊬DED/∃⊬1E482A=∃⊬0","layer":2},{"info":"∃⊬571⨓∃⊬970=∃⊬-973","layer":3},{"info":"∃⊬62D⨓∃⊬5EA=∃⊬-5ED","layer":3},{"info":"∃⊬-973⨪↰⇹∃⊬-5ED=∃⊬973","layer":2},{"info":"∃⊬0%∃⊬973=∃⊬0","layer":1},{"info":"⨵≀≌∃⊬150A=∃⊬-3F1E","layer":3},{"info":"∃⊬1B66+∃⊬4A2=∃⊬2008","layer":3},{"info":"∃⊬-3F1E⋥≓≎∃⊬2008=∃⊬43","layer":2},{"info":"∃⊬43⫩⊇=∃⊬-19","layer":1},{"info":"∃⊬0%∃⊬-19=∃⊬0","layer":0}]}
{"id":784,"expression_no_base_symbol":"(($1889$⫌⩹⨱)⪨≂($1019$∸))⋓($2801$⪒$2267$)⨪↰⇹(⋗⩬⋾$1028$)⨸⪁($5328$≹⇙⪍$1318$⨸⪁$9537$↙$4348$)⨓(⫛⫱⨽(⫛⫱⨽$3946$))","expression":"((∃⊬761⫌⩹⨱)⪨≂(∃⊬3FB∸))⋓(∃⊬AF1⪒∃⊬8DB)⨪↰⇹(⋗⩬⋾∃⊬404)⨸⪁(∃⊬14D0≹⇙⪍∃⊬526⨸⪁∃⊬2541↙∃⊬10FC)⨓(⫛⫱⨽(⫛⫱⨽∃⊬F6A))","highest_n_order":4,"priority_hierarchical_complexity":11,"normalized_expansion_degree":11975,"operation_count":14,"complexity_ratio":855.3571428571429,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1889,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1019,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2801,"base":16},"right_expr":{"type":"numeric_atoms","value":2267,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1028,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5328,"base":16},"right_expr":{"type":"numeric_atoms","value":1318,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9537,"base":16},"right_expr":{"type":"numeric_atoms","value":4348,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":3946,"base":16}}}}},"used_operators":["g55IO6H4Gj","T2fj7uvVaJ","sdazOOVcIp","EBcxylXtPf","o20kRiQErp","tmPS8pqC7x","f6k1SAg4EE","DpFCA1CohY","3ViojmjbAp","AHs5Up7iyr","yyfyN0ffXY","DlLNRPXxWL"],"dependent_operators":["W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","tmPS8pqC7x","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1889","layer":4},{"info":"compute unary expreesion, input=1889, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5179","layer":3},{"info":"number node, value=1019","layer":4},{"info":"compute unary expreesion, input=1019, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=5179, right_input=177, 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=10106","layer":2},{"info":"number node, value=2801","layer":4},{"info":"number node, value=2267","layer":4},{"info":"compute binary expreesion, left_input=2801, right_input=2267, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5068","layer":3},{"info":"number node, value=1028","layer":4},{"info":"compute unary expreesion, input=1028, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3084","layer":3},{"info":"compute binary expreesion, left_input=-5068, right_input=-3084, 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=-5068","layer":2},{"info":"compute binary expreesion, left_input=10106, right_input=-5068, 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=5328","layer":4},{"info":"number node, value=1318","layer":4},{"info":"compute binary expreesion, left_input=5328, right_input=1318, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=9537","layer":4},{"info":"number node, value=4348","layer":4},{"info":"compute binary expreesion, left_input=9537, right_input=4348, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13044","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-13044, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"number node, value=3946","layer":4},{"info":"compute unary expreesion, input=3946, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬761⫌⩹⨱)⪨≂(∃⊬3FB∸))⋓(∃⊬AF1⪒∃⊬8DB)⨪↰⇹(⋗⩬⋾∃⊬404)⨸⪁(∃⊬14D0≹⇙⪍∃⊬526⨸⪁∃⊬2541↙∃⊬10FC)⨓(⫛⫱⨽(⫛⫱⨽∃⊬F6A))=NaN","reverse_text":"NaN=((∃⊬761⫌⩹⨱)⪨≂(∃⊬3FB∸))⋓(∃⊬AF1⪒∃⊬8DB)⨪↰⇹(⋗⩬⋾∃⊬404)⨸⪁(∃⊬14D0≹⇙⪍∃⊬526⨸⪁∃⊬2541↙∃⊬10FC)⨓(⫛⫱⨽(⫛⫱⨽∃⊬F6A))","cot":[{"info":"∃⊬761⫌⩹⨱=∃⊬143B","layer":3},{"info":"∃⊬3FB∸=∃⊬B1","layer":3},{"info":"∃⊬143B⪨≂∃⊬B1=∃⊬277A","layer":2},{"info":"∃⊬AF1⪒∃⊬8DB=∃⊬-13CC","layer":3},{"info":"⋗⩬⋾∃⊬404=∃⊬-C0C","layer":3},{"info":"∃⊬-13CC⨪↰⇹∃⊬-C0C=∃⊬-13CC","layer":2},{"info":"∃⊬277A⋓∃⊬-13CC=∃⊬0","layer":1},{"info":"∃⊬14D0≹⇙⪍∃⊬526=NaN","layer":3},{"info":"∃⊬2541↙∃⊬10FC=∃⊬-32F4","layer":3},{"info":"NaN⨸⪁∃⊬-32F4=NaN","layer":2},{"info":"⫛⫱⨽∃⊬F6A=∃⊬0","layer":3},{"info":"⫛⫱⨽∃⊬0=∃⊬0","layer":2},{"info":"NaN⨓∃⊬0=NaN","layer":1},{"info":"∃⊬0⨸⪁NaN=NaN","layer":0}]}
{"id":785,"expression_no_base_symbol":"(($5296$+$5791$)⪘⫢($2671$⫥∨⫟$1096$)⇼⇔∾(⨵≀≌$2187$⫸⊐$3489$))↺(($3985$⨎$4041$)⨟⋌⩍($4921$+$1327$)⨵⪆(↣≠⋷($8097$∼$1020$)))","expression":"((∃⊬14B0+∃⊬169F)⪘⫢(∃⊬A6F⫥∨⫟∃⊬448)⇼⇔∾(⨵≀≌∃⊬88B⫸⊐∃⊬DA1))↺((∃⊬F91⨎∃⊬FC9)⨟⋌⩍(∃⊬1339+∃⊬52F)⨵⪆(↣≠⋷(∃⊬1FA1∼∃⊬3FC)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":362,"operation_count":13,"complexity_ratio":27.846153846153847,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":5296,"base":16},"right_expr":{"type":"numeric_atoms","value":5791,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2671,"base":16},"right_expr":{"type":"numeric_atoms","value":1096,"base":16}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2187,"base":16},"right_expr":{"type":"numeric_atoms","value":3489,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3985,"base":16},"right_expr":{"type":"numeric_atoms","value":4041,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":4921,"base":16},"right_expr":{"type":"numeric_atoms","value":1327,"base":16}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8097,"base":16},"right_expr":{"type":"numeric_atoms","value":1020,"base":16}}}}},"used_operators":["7j4O788W3g","tifHPKVTfV","oacrs7FA3X","W4YGzv6Whe","KYD54nUTWz","srAu1WTS94","mqXw5SEYmG","2DQ55sFlQl","rGHVDoGpnC","rJVOvQCfKK","Asc51vEJeQ","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8HhzD0ZcuI","rGHVDoGpnC","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","XhwjNDsVaA","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5296","layer":4},{"info":"number node, value=5791","layer":4},{"info":"compute binary expreesion, left_input=5296, right_input=5791, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11087","layer":3},{"info":"number node, value=2671","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=2671, right_input=1096, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=11087, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"number node, value=2187","layer":4},{"info":"number node, value=3489","layer":4},{"info":"compute binary expreesion, left_input=2187, right_input=3489, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=13831","layer":3},{"info":"compute unary expreesion, input=13831, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-41493","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-41493, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=3985","layer":4},{"info":"number node, value=4041","layer":4},{"info":"compute binary expreesion, left_input=3985, right_input=4041, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4041","layer":3},{"info":"number node, value=4921","layer":4},{"info":"number node, value=1327","layer":4},{"info":"compute binary expreesion, left_input=4921, right_input=1327, op_id = W4YGzv6Whe binary_op_definition= 'None', output=6248","layer":3},{"info":"compute binary expreesion, left_input=4041, right_input=6248, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=8097","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=8097, right_input=1020, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"((∃⊬14B0+∃⊬169F)⪘⫢(∃⊬A6F⫥∨⫟∃⊬448)⇼⇔∾(⨵≀≌∃⊬88B⫸⊐∃⊬DA1))↺((∃⊬F91⨎∃⊬FC9)⨟⋌⩍(∃⊬1339+∃⊬52F)⨵⪆(↣≠⋷(∃⊬1FA1∼∃⊬3FC)))=∃⊬A0","reverse_text":"∃⊬A0=((∃⊬14B0+∃⊬169F)⪘⫢(∃⊬A6F⫥∨⫟∃⊬448)⇼⇔∾(⨵≀≌∃⊬88B⫸⊐∃⊬DA1))↺((∃⊬F91⨎∃⊬FC9)⨟⋌⩍(∃⊬1339+∃⊬52F)⨵⪆(↣≠⋷(∃⊬1FA1∼∃⊬3FC)))","cot":[{"info":"∃⊬14B0+∃⊬169F=∃⊬2B4F","layer":3},{"info":"∃⊬A6F⫥∨⫟∃⊬448=NaN","layer":3},{"info":"∃⊬2B4F⪘⫢NaN=NaN","layer":2},{"info":"∃⊬88B⫸⊐∃⊬DA1=∃⊬3607","layer":3},{"info":"⨵≀≌∃⊬3607=∃⊬-A215","layer":2},{"info":"NaN⇼⇔∾∃⊬-A215=NaN","layer":1},{"info":"∃⊬F91⨎∃⊬FC9=∃⊬FC9","layer":3},{"info":"∃⊬1339+∃⊬52F=∃⊬1868","layer":3},{"info":"∃⊬FC9⨟⋌⩍∃⊬1868=NaN","layer":2},{"info":"∃⊬1FA1∼∃⊬3FC=NaN","layer":3},{"info":"↣≠⋷NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":1},{"info":"NaN↺∃⊬A0=∃⊬A0","layer":0}]}
{"id":786,"expression_no_base_symbol":"(($4900$⊭↱$2614$)⇋≉)⨽(⇁⨣⪵$2773$⋝⋈⪟$4078$)+(⨑⩽⪐($5516$⫡⨏$2743$))⨐⩸⫘($3848$⪨≂$1872$)⨪↰⇹($9854$⫩⊇)","expression":"((∃⊬1324⊭↱∃⊬A36)⇋≉)⨽(⇁⨣⪵∃⊬AD5⋝⋈⪟∃⊬FEE)+(⨑⩽⪐(∃⊬158C⫡⨏∃⊬AB7))⨐⩸⫘(∃⊬F08⪨≂∃⊬750)⨪↰⇹(∃⊬267E⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":13328,"operation_count":12,"complexity_ratio":1110.6666666666667,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4900,"base":16},"right_expr":{"type":"numeric_atoms","value":2614,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2773,"base":16},"right_expr":{"type":"numeric_atoms","value":4078,"base":16}}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5516,"base":16},"right_expr":{"type":"numeric_atoms","value":2743,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3848,"base":16},"right_expr":{"type":"numeric_atoms","value":1872,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":9854,"base":16}}}}},"used_operators":["W4YGzv6Whe","8HhzD0ZcuI","XIabStNQrY","COABgblf1C","inkyxCbjAn","2DDjHMKMc0","fu6greOZ01","AF7qkfDlqP","QMFrweE19q","tmPS8pqC7x","sdazOOVcIp","BjRHVeLaeN"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4900","layer":4},{"info":"number node, value=2614","layer":4},{"info":"compute binary expreesion, left_input=4900, right_input=2614, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4567","layer":3},{"info":"compute unary expreesion, input=-4567, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-9232","layer":2},{"info":"number node, value=2773","layer":4},{"info":"number node, value=4078","layer":4},{"info":"compute binary expreesion, left_input=2773, right_input=4078, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2773","layer":3},{"info":"compute unary expreesion, input=2773, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-9232, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=5516","layer":4},{"info":"number node, value=2743","layer":4},{"info":"compute binary expreesion, left_input=5516, right_input=2743, 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=33849","layer":3},{"info":"compute unary expreesion, input=33849, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-33576","layer":2},{"info":"number node, value=3848","layer":4},{"info":"number node, value=1872","layer":4},{"info":"compute binary expreesion, left_input=3848, right_input=1872, 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=4054","layer":3},{"info":"number node, value=9854","layer":4},{"info":"compute unary expreesion, input=9854, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-9812","layer":3},{"info":"compute binary expreesion, left_input=4054, right_input=-9812, 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=4054","layer":2},{"info":"compute binary expreesion, left_input=-33576, right_input=4054, 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":"((∃⊬1324⊭↱∃⊬A36)⇋≉)⨽(⇁⨣⪵∃⊬AD5⋝⋈⪟∃⊬FEE)+(⨑⩽⪐(∃⊬158C⫡⨏∃⊬AB7))⨐⩸⫘(∃⊬F08⪨≂∃⊬750)⨪↰⇹(∃⊬267E⫩⊇)=NaN","reverse_text":"NaN=((∃⊬1324⊭↱∃⊬A36)⇋≉)⨽(⇁⨣⪵∃⊬AD5⋝⋈⪟∃⊬FEE)+(⨑⩽⪐(∃⊬158C⫡⨏∃⊬AB7))⨐⩸⫘(∃⊬F08⪨≂∃⊬750)⨪↰⇹(∃⊬267E⫩⊇)","cot":[{"info":"∃⊬1324⊭↱∃⊬A36=∃⊬-11D7","layer":3},{"info":"∃⊬-11D7⇋≉=∃⊬-2410","layer":2},{"info":"∃⊬AD5⋝⋈⪟∃⊬FEE=∃⊬AD5","layer":3},{"info":"⇁⨣⪵∃⊬AD5=NaN","layer":2},{"info":"∃⊬-2410⨽NaN=NaN","layer":1},{"info":"∃⊬158C⫡⨏∃⊬AB7=∃⊬8439","layer":3},{"info":"⨑⩽⪐∃⊬8439=∃⊬-8328","layer":2},{"info":"∃⊬F08⪨≂∃⊬750=∃⊬FD6","layer":3},{"info":"∃⊬267E⫩⊇=∃⊬-2654","layer":3},{"info":"∃⊬FD6⨪↰⇹∃⊬-2654=∃⊬FD6","layer":2},{"info":"∃⊬-8328⨐⩸⫘∃⊬FD6=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":787,"expression_no_base_symbol":"((⪲⇎$3258$)⋥≓≎($4596$⨳⩥⨓$4641$))⨪↰⇹($1026$%$4339$)⪢($2578$⨐⩸⫘$4529$)⨐⩸⫘((($1119$⫥∨⫟$1209$)≦≮≮)⩨(↣≠⋷$2502$)⋓$1670$⪮%⊝$1005$)","expression":"((⪲⇎∃⊬CBA)⋥≓≎(∃⊬11F4⨳⩥⨓∃⊬1221))⨪↰⇹(∃⊬402%∃⊬10F3)⪢(∃⊬A12⨐⩸⫘∃⊬11B1)⨐⩸⫘(((∃⊬45F⫥∨⫟∃⊬4B9)≦≮≮)⩨(↣≠⋷∃⊬9C6)⋓∃⊬686⪮%⊝∃⊬3ED)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":6592,"operation_count":14,"complexity_ratio":470.85714285714283,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":3258,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4596,"base":16},"right_expr":{"type":"numeric_atoms","value":4641,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":4339,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2578,"base":16},"right_expr":{"type":"numeric_atoms","value":4529,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1119,"base":16},"right_expr":{"type":"numeric_atoms","value":1209,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2502,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1670,"base":16},"right_expr":{"type":"numeric_atoms","value":1005,"base":16}}}}},"used_operators":["fu6greOZ01","tmPS8pqC7x","Qy55tPpLXF","XPYlsWDdGa","nCS4ZIUYfx","dWAJyo7jo9","k8jYdgA6NY","2DlMacCsIx","D4vGDi5EA2","KYD54nUTWz","T2fj7uvVaJ","Asc51vEJeQ","IWmyXbctLI"],"dependent_operators":["3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3258","layer":4},{"info":"compute unary expreesion, input=3258, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=6516","layer":3},{"info":"number node, value=4596","layer":4},{"info":"number node, value=4641","layer":4},{"info":"compute binary expreesion, left_input=4596, right_input=4641, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=45","layer":3},{"info":"compute binary expreesion, left_input=6516, right_input=45, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-6393","layer":2},{"info":"number node, value=1026","layer":4},{"info":"number node, value=4339","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=4339, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1026","layer":3},{"info":"number node, value=2578","layer":4},{"info":"number node, value=4529","layer":4},{"info":"compute binary expreesion, left_input=2578, right_input=4529, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1026, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-6393, 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=6393","layer":1},{"info":"number node, value=1119","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=1119, right_input=1209, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":2},{"info":"number node, value=2502","layer":4},{"info":"compute unary expreesion, input=2502, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1670","layer":4},{"info":"number node, value=1005","layer":4},{"info":"compute binary expreesion, left_input=1670, right_input=1005, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=3656","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3656, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=6393, 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":"((⪲⇎∃⊬CBA)⋥≓≎(∃⊬11F4⨳⩥⨓∃⊬1221))⨪↰⇹(∃⊬402%∃⊬10F3)⪢(∃⊬A12⨐⩸⫘∃⊬11B1)⨐⩸⫘(((∃⊬45F⫥∨⫟∃⊬4B9)≦≮≮)⩨(↣≠⋷∃⊬9C6)⋓∃⊬686⪮%⊝∃⊬3ED)=NaN","reverse_text":"NaN=((⪲⇎∃⊬CBA)⋥≓≎(∃⊬11F4⨳⩥⨓∃⊬1221))⨪↰⇹(∃⊬402%∃⊬10F3)⪢(∃⊬A12⨐⩸⫘∃⊬11B1)⨐⩸⫘(((∃⊬45F⫥∨⫟∃⊬4B9)≦≮≮)⩨(↣≠⋷∃⊬9C6)⋓∃⊬686⪮%⊝∃⊬3ED)","cot":[{"info":"⪲⇎∃⊬CBA=∃⊬1974","layer":3},{"info":"∃⊬11F4⨳⩥⨓∃⊬1221=∃⊬2D","layer":3},{"info":"∃⊬1974⋥≓≎∃⊬2D=∃⊬-18F9","layer":2},{"info":"∃⊬402%∃⊬10F3=∃⊬402","layer":3},{"info":"∃⊬A12⨐⩸⫘∃⊬11B1=NaN","layer":3},{"info":"∃⊬402⪢NaN=NaN","layer":2},{"info":"∃⊬-18F9⨪↰⇹NaN=∃⊬18F9","layer":1},{"info":"∃⊬45F⫥∨⫟∃⊬4B9=NaN","layer":3},{"info":"NaN≦≮≮=NaN","layer":2},{"info":"↣≠⋷∃⊬9C6=NaN","layer":3},{"info":"∃⊬686⪮%⊝∃⊬3ED=∃⊬E48","layer":3},{"info":"NaN⋓∃⊬E48=∃⊬0","layer":2},{"info":"NaN⩨∃⊬0=NaN","layer":1},{"info":"∃⊬18F9⨐⩸⫘NaN=NaN","layer":0}]}
{"id":788,"expression_no_base_symbol":"(($3974$⇋≉)⇷(↔$3451$)⊠≄⫣)≹⇙⪍(($4074$≹⇙⪍$1557$∼(⋗⩬⋾$1476$))⨟⋌⩍($5241$∼$3781$⋥≓≎(⪲⇎$2402$)))","expression":"((∃⊬F86⇋≉)⇷(↔∃⊬D7B)⊠≄⫣)≹⇙⪍((∃⊬FEA≹⇙⪍∃⊬615∼(⋗⩬⋾∃⊬5C4))⨟⋌⩍(∃⊬1479∼∃⊬EC5⋥≓≎(⪲⇎∃⊬962)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":110305,"operation_count":12,"complexity_ratio":9192.083333333334,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3974,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3451,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4074,"base":16},"right_expr":{"type":"numeric_atoms","value":1557,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1476,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5241,"base":16},"right_expr":{"type":"numeric_atoms","value":3781,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2402,"base":16}}}}},"used_operators":["AHs5Up7iyr","DIvbN7qnHd","mp7IySMOzn","XIabStNQrY","ruOEQAzv1W","rGHVDoGpnC","DyGG3AbaNP","DpFCA1CohY","Qy55tPpLXF","XPYlsWDdGa"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3974","layer":4},{"info":"compute unary expreesion, input=3974, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7850","layer":3},{"info":"number node, value=3451","layer":4},{"info":"compute unary expreesion, input=3451, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3178","layer":3},{"info":"compute binary expreesion, left_input=7850, right_input=-3178, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=4074","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=4074, right_input=1557, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1476","layer":4},{"info":"compute unary expreesion, input=1476, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-4428","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4428, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=5241","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=5241, right_input=3781, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2402","layer":4},{"info":"compute unary expreesion, input=2402, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4804","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4804, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, 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 = 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":"((∃⊬F86⇋≉)⇷(↔∃⊬D7B)⊠≄⫣)≹⇙⪍((∃⊬FEA≹⇙⪍∃⊬615∼(⋗⩬⋾∃⊬5C4))⨟⋌⩍(∃⊬1479∼∃⊬EC5⋥≓≎(⪲⇎∃⊬962)))=NaN","reverse_text":"NaN=((∃⊬F86⇋≉)⇷(↔∃⊬D7B)⊠≄⫣)≹⇙⪍((∃⊬FEA≹⇙⪍∃⊬615∼(⋗⩬⋾∃⊬5C4))⨟⋌⩍(∃⊬1479∼∃⊬EC5⋥≓≎(⪲⇎∃⊬962)))","cot":[{"info":"∃⊬F86⇋≉=∃⊬1EAA","layer":3},{"info":"↔∃⊬D7B=∃⊬-C6A","layer":3},{"info":"∃⊬1EAA⇷∃⊬-C6A=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"∃⊬FEA≹⇙⪍∃⊬615=NaN","layer":3},{"info":"⋗⩬⋾∃⊬5C4=∃⊬-114C","layer":3},{"info":"NaN∼∃⊬-114C=NaN","layer":2},{"info":"∃⊬1479∼∃⊬EC5=NaN","layer":3},{"info":"⪲⇎∃⊬962=∃⊬12C4","layer":3},{"info":"NaN⋥≓≎∃⊬12C4=∃⊬43","layer":2},{"info":"NaN⨟⋌⩍∃⊬43=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":789,"expression_no_base_symbol":"((↽≂(↽≂$2284$))⋷$1615$↺$2813$↺(↔$4044$))⫸⊐($1791$⪛$1481$%$3297$↬$1174$⫡⨏($3527$⩚⊴⇥$1320$)≧⫂∧($6135$+⇶⊼$5773$))","expression":"((↽≂(↽≂∃⊬8EC))⋷∃⊬64F↺∃⊬AFD↺(↔∃⊬FCC))⫸⊐(∃⊬6FF⪛∃⊬5C9%∃⊬CE1↬∃⊬496⫡⨏(∃⊬DC7⩚⊴⇥∃⊬528)≧⫂∧(∃⊬17F7+⇶⊼∃⊬168D))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":42,"operation_count":14,"complexity_ratio":3.0,"tree":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2284,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1615,"base":16},"right_expr":{"type":"numeric_atoms","value":2813,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":4044,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1791,"base":16},"right_expr":{"type":"numeric_atoms","value":1481,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3297,"base":16},"right_expr":{"type":"numeric_atoms","value":1174,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3527,"base":16},"right_expr":{"type":"numeric_atoms","value":1320,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":6135,"base":16},"right_expr":{"type":"numeric_atoms","value":5773,"base":16}}}}},"used_operators":["mqXw5SEYmG","23Mk6UjR3U","u6S6b8DprG","7j4O788W3g","ruOEQAzv1W","QMFrweE19q","k8jYdgA6NY","uFcxV4UQCh","B5M0gjZbta","Ph9nP6C5qx","NTOWxs364D","TpPTUOHfaN"],"dependent_operators":["QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr"],"result":"∃⊬3C8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2284","layer":4},{"info":"compute unary expreesion, input=2284, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-4568","layer":3},{"info":"compute unary expreesion, input=-4568, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9136","layer":2},{"info":"number node, value=1615","layer":4},{"info":"number node, value=2813","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=2813, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2813","layer":3},{"info":"number node, value=4044","layer":4},{"info":"compute unary expreesion, input=4044, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3771","layer":3},{"info":"compute binary expreesion, left_input=2813, right_input=-3771, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-3771","layer":2},{"info":"compute binary expreesion, left_input=9136, right_input=-3771, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-16678","layer":1},{"info":"number node, value=1791","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=1481, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=310","layer":3},{"info":"number node, value=3297","layer":4},{"info":"number node, value=1174","layer":4},{"info":"compute binary expreesion, left_input=3297, 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":3},{"info":"compute binary expreesion, left_input=310, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3527","layer":4},{"info":"number node, value=1320","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=1320, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4968","layer":3},{"info":"number node, value=6135","layer":4},{"info":"number node, value=5773","layer":4},{"info":"compute binary expreesion, left_input=6135, right_input=5773, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4968, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-16678, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":0}],"base":16,"result_base":16,"text":"((↽≂(↽≂∃⊬8EC))⋷∃⊬64F↺∃⊬AFD↺(↔∃⊬FCC))⫸⊐(∃⊬6FF⪛∃⊬5C9%∃⊬CE1↬∃⊬496⫡⨏(∃⊬DC7⩚⊴⇥∃⊬528)≧⫂∧(∃⊬17F7+⇶⊼∃⊬168D))=∃⊬3C8","reverse_text":"∃⊬3C8=((↽≂(↽≂∃⊬8EC))⋷∃⊬64F↺∃⊬AFD↺(↔∃⊬FCC))⫸⊐(∃⊬6FF⪛∃⊬5C9%∃⊬CE1↬∃⊬496⫡⨏(∃⊬DC7⩚⊴⇥∃⊬528)≧⫂∧(∃⊬17F7+⇶⊼∃⊬168D))","cot":[{"info":"↽≂∃⊬8EC=∃⊬-11D8","layer":3},{"info":"↽≂∃⊬-11D8=∃⊬23B0","layer":2},{"info":"∃⊬64F↺∃⊬AFD=∃⊬AFD","layer":3},{"info":"↔∃⊬FCC=∃⊬-EBB","layer":3},{"info":"∃⊬AFD↺∃⊬-EBB=∃⊬-EBB","layer":2},{"info":"∃⊬23B0⋷∃⊬-EBB=∃⊬-4126","layer":1},{"info":"∃⊬6FF⪛∃⊬5C9=∃⊬136","layer":3},{"info":"∃⊬CE1↬∃⊬496=NaN","layer":3},{"info":"∃⊬136%NaN=NaN","layer":2},{"info":"∃⊬DC7⩚⊴⇥∃⊬528=∃⊬-1368","layer":3},{"info":"∃⊬17F7+⇶⊼∃⊬168D=NaN","layer":3},{"info":"∃⊬-1368≧⫂∧NaN=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"∃⊬-4126⫸⊐NaN=∃⊬3C8","layer":0}]}
{"id":790,"expression_no_base_symbol":"⋗⩬⋾(-$1316$⊉≛↸$2278$⪒$2989$∼$1630$)","expression":"⋗⩬⋾(-∃⊬524⊉≛↸∃⊬8E6⪒∃⊬BAD∼∃⊬65E)","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":69,"operation_count":5,"complexity_ratio":13.8,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":1316,"base":16},"right_expr":{"type":"numeric_atoms","value":2278,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2989,"base":16},"right_expr":{"type":"numeric_atoms","value":1630,"base":16}}}}},"used_operators":["DpFCA1CohY","t8gj7n24qd","f6k1SAg4EE","DZ8iAZOCBD","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","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=1316","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=1316, right_input=2278, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2632","layer":3},{"info":"number node, value=2989","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=2989, right_input=1630, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2632, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', 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":"⋗⩬⋾(-∃⊬524⊉≛↸∃⊬8E6⪒∃⊬BAD∼∃⊬65E)=NaN","reverse_text":"NaN=⋗⩬⋾(-∃⊬524⊉≛↸∃⊬8E6⪒∃⊬BAD∼∃⊬65E)","cot":[{"info":"∃⊬524⊉≛↸∃⊬8E6=∃⊬A48","layer":3},{"info":"∃⊬BAD∼∃⊬65E=NaN","layer":3},{"info":"∃⊬A48⪒NaN=NaN","layer":2},{"info":"-NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":791,"expression_no_base_symbol":"⨈⫕(⪝⪂⫅(⫓⪴($5118$∲⫓$8545$)))","expression":"⨈⫕(⪝⪂⫅(⫓⪴(∃⊬13FE∲⫓∃⊬2161)))","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":393,"operation_count":4,"complexity_ratio":98.25,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":5118,"base":16},"right_expr":{"type":"numeric_atoms","value":8545,"base":16}}}}},"used_operators":["megm06wKyl","XTarYq4gQB","eLxqMNBOBk","i8ToyICDmI"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","9HNa5Wba9A","8w2t5hMYqp","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5118","layer":4},{"info":"number node, value=8545","layer":4},{"info":"compute binary expreesion, left_input=5118, right_input=8545, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', 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":"⨈⫕(⪝⪂⫅(⫓⪴(∃⊬13FE∲⫓∃⊬2161)))=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(⪝⪂⫅(⫓⪴(∃⊬13FE∲⫓∃⊬2161)))","cot":[{"info":"∃⊬13FE∲⫓∃⊬2161=∃⊬0","layer":3},{"info":"⫓⪴∃⊬0=∃⊬0","layer":2},{"info":"⪝⪂⫅∃⊬0=∃⊬0","layer":1},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":0}]}
{"id":792,"expression_no_base_symbol":"(↥(⫓⪴($2696$⩨$2783$)))⨁⊸⫻","expression":"(↥(⫓⪴(∃⊬A88⩨∃⊬ADF)))⨁⊸⫻","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":11,"operation_count":4,"complexity_ratio":2.75,"tree":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2696,"base":16},"right_expr":{"type":"numeric_atoms","value":2783,"base":16}}}}},"used_operators":["glklzrTFfD","A8NUZmVepG","eLxqMNBOBk","2DlMacCsIx"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL"],"result":"∃⊬12","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2696","layer":4},{"info":"number node, value=2783","layer":4},{"info":"compute binary expreesion, left_input=2696, right_input=2783, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=9","layer":2},{"info":"compute unary expreesion, input=9, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', 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":"(↥(⫓⪴(∃⊬A88⩨∃⊬ADF)))⨁⊸⫻=∃⊬12","reverse_text":"∃⊬12=(↥(⫓⪴(∃⊬A88⩨∃⊬ADF)))⨁⊸⫻","cot":[{"info":"∃⊬A88⩨∃⊬ADF=∃⊬-3","layer":3},{"info":"⫓⪴∃⊬-3=∃⊬9","layer":2},{"info":"↥∃⊬9=∃⊬9","layer":1},{"info":"∃⊬9⨁⊸⫻=∃⊬12","layer":0}]}
{"id":793,"expression_no_base_symbol":"((($1240$∲⫓$1078$)⨁⊸⫻)⨐⩸⫘($1037$∑⇟⊟$5086$⩨($5384$⪒$5580$)))⪢((⨞⊢($1633$⪄$1189$))/$7293$+⇶⊼$6355$⨸⪁$1182$∼$3063$)","expression":"(((∃⊬4D8∲⫓∃⊬436)⨁⊸⫻)⨐⩸⫘(∃⊬40D∑⇟⊟∃⊬13DE⩨(∃⊬1508⪒∃⊬15CC)))⪢((⨞⊢(∃⊬661⪄∃⊬4A5))/∃⊬1C7D+⇶⊼∃⊬18D3⨸⪁∃⊬49E∼∃⊬BF7)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":142,"operation_count":13,"complexity_ratio":10.923076923076923,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1240,"base":16},"right_expr":{"type":"numeric_atoms","value":1078,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1037,"base":16},"right_expr":{"type":"numeric_atoms","value":5086,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":5384,"base":16},"right_expr":{"type":"numeric_atoms","value":5580,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1633,"base":16},"right_expr":{"type":"numeric_atoms","value":1189,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":7293,"base":16},"right_expr":{"type":"numeric_atoms","value":6355,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1182,"base":16},"right_expr":{"type":"numeric_atoms","value":3063,"base":16}}}}},"used_operators":["dWAJyo7jo9","fu6greOZ01","glklzrTFfD","i8ToyICDmI","2DlMacCsIx","U7g4x0WXJJ","f6k1SAg4EE","XhwjNDsVaA","xUOZtlo3hN","SUmda5xLS4","g55IO6H4Gj","TpPTUOHfaN","DyGG3AbaNP"],"dependent_operators":["k8jYdgA6NY","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1240","layer":4},{"info":"number node, value=1078","layer":4},{"info":"compute binary expreesion, left_input=1240, right_input=1078, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=1037","layer":4},{"info":"number node, value=5086","layer":4},{"info":"compute binary expreesion, left_input=1037, right_input=5086, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=5384","layer":4},{"info":"number node, value=5580","layer":4},{"info":"compute binary expreesion, left_input=5384, right_input=5580, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10964","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-10964, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=1633","layer":4},{"info":"number node, value=1189","layer":4},{"info":"compute binary expreesion, left_input=1633, right_input=1189, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-242529","layer":3},{"info":"compute unary expreesion, input=-242529, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=242355","layer":2},{"info":"number node, value=7293","layer":4},{"info":"number node, value=6355","layer":4},{"info":"compute binary expreesion, left_input=7293, right_input=6355, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1182","layer":4},{"info":"number node, value=3063","layer":4},{"info":"compute binary expreesion, left_input=1182, right_input=3063, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=242355, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬4D8∲⫓∃⊬436)⨁⊸⫻)⨐⩸⫘(∃⊬40D∑⇟⊟∃⊬13DE⩨(∃⊬1508⪒∃⊬15CC)))⪢((⨞⊢(∃⊬661⪄∃⊬4A5))/∃⊬1C7D+⇶⊼∃⊬18D3⨸⪁∃⊬49E∼∃⊬BF7)=NaN","reverse_text":"NaN=(((∃⊬4D8∲⫓∃⊬436)⨁⊸⫻)⨐⩸⫘(∃⊬40D∑⇟⊟∃⊬13DE⩨(∃⊬1508⪒∃⊬15CC)))⪢((⨞⊢(∃⊬661⪄∃⊬4A5))/∃⊬1C7D+⇶⊼∃⊬18D3⨸⪁∃⊬49E∼∃⊬BF7)","cot":[{"info":"∃⊬4D8∲⫓∃⊬436=∃⊬0","layer":3},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":2},{"info":"∃⊬40D∑⇟⊟∃⊬13DE=NaN","layer":3},{"info":"∃⊬1508⪒∃⊬15CC=∃⊬-2AD4","layer":3},{"info":"NaN⩨∃⊬-2AD4=NaN","layer":2},{"info":"∃⊬0⨐⩸⫘NaN=NaN","layer":1},{"info":"∃⊬661⪄∃⊬4A5=∃⊬-3B361","layer":3},{"info":"⨞⊢∃⊬-3B361=∃⊬3B2B3","layer":2},{"info":"∃⊬1C7D+⇶⊼∃⊬18D3=NaN","layer":3},{"info":"∃⊬49E∼∃⊬BF7=NaN","layer":3},{"info":"NaN⨸⪁NaN=NaN","layer":2},{"info":"∃⊬3B2B3/NaN=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":794,"expression_no_base_symbol":"(↯⪼(($1252$⪐)≧⫂∧($4436$⩚⊴⇥$6828$)))⋳⪒(⨰⫟⨤($1256$∀⇚≩$1155$)⇷($1703$⊪))","expression":"(↯⪼((∃⊬4E4⪐)≧⫂∧(∃⊬1154⩚⊴⇥∃⊬1AAC)))⋳⪒(⨰⫟⨤(∃⊬4E8∀⇚≩∃⊬483)⇷(∃⊬6A7⊪))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":9771,"operation_count":9,"complexity_ratio":1085.6666666666667,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1252,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4436,"base":16},"right_expr":{"type":"numeric_atoms","value":6828,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1256,"base":16},"right_expr":{"type":"numeric_atoms","value":1155,"base":16}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1703,"base":16}}}}},"used_operators":["12rbrZMWeM","8jW3W4yZS5","Ph9nP6C5qx","eH2TOUuTDT","NTOWxs364D","Tw270M8GLb","mp7IySMOzn","LRNGc0VcxI","zVYPLywUTj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL"],"result":"∃⊬-448EBF","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1252","layer":4},{"info":"compute unary expreesion, input=1252, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2504","layer":3},{"info":"number node, value=4436","layer":4},{"info":"number node, value=6828","layer":4},{"info":"compute binary expreesion, left_input=4436, right_input=6828, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-11385","layer":3},{"info":"compute binary expreesion, left_input=2504, right_input=-11385, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=13889","layer":2},{"info":"compute unary expreesion, input=13889, 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=1256","layer":4},{"info":"number node, value=1155","layer":4},{"info":"compute binary expreesion, left_input=1256, right_input=1155, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1703","layer":4},{"info":"compute unary expreesion, input=1703, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=4492662, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4492991","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬4E4⪐)≧⫂∧(∃⊬1154⩚⊴⇥∃⊬1AAC)))⋳⪒(⨰⫟⨤(∃⊬4E8∀⇚≩∃⊬483)⇷(∃⊬6A7⊪))=∃⊬-448EBF","reverse_text":"∃⊬-448EBF=(↯⪼((∃⊬4E4⪐)≧⫂∧(∃⊬1154⩚⊴⇥∃⊬1AAC)))⋳⪒(⨰⫟⨤(∃⊬4E8∀⇚≩∃⊬483)⇷(∃⊬6A7⊪))","cot":[{"info":"∃⊬4E4⪐=∃⊬9C8","layer":3},{"info":"∃⊬1154⩚⊴⇥∃⊬1AAC=∃⊬-2C79","layer":3},{"info":"∃⊬9C8≧⫂∧∃⊬-2C79=∃⊬3641","layer":2},{"info":"↯⪼∃⊬3641=∃⊬-15","layer":1},{"info":"∃⊬4E8∀⇚≩∃⊬483=NaN","layer":3},{"info":"∃⊬6A7⊪=∃⊬0","layer":3},{"info":"NaN⇷∃⊬0=∃⊬0","layer":2},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":1},{"info":"∃⊬-15⋳⪒∃⊬448D76=∃⊬-448EBF","layer":0}]}
{"id":795,"expression_no_base_symbol":"(+⊝⨔($1827$⇼⇔∾$5667$))⨟⋌⩍(↩$4945$↬$3368$)⨽(($5134$⊪)⨸⪁$5402$⇷$1145$)≹⇙⪍(($2018$⨐⩸⫘$8125$)⨽($2318$∸))","expression":"(+⊝⨔(∃⊬723⇼⇔∾∃⊬1623))⨟⋌⩍(↩∃⊬1351↬∃⊬D28)⨽((∃⊬140E⊪)⨸⪁∃⊬151A⇷∃⊬479)≹⇙⪍((∃⊬7E2⨐⩸⫘∃⊬1FBD)⨽(∃⊬90E∸))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":75932,"operation_count":13,"complexity_ratio":5840.923076923077,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1827,"base":16},"right_expr":{"type":"numeric_atoms","value":5667,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4945,"base":16},"right_expr":{"type":"numeric_atoms","value":3368,"base":16}}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":5134,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5402,"base":16},"right_expr":{"type":"numeric_atoms","value":1145,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2018,"base":16},"right_expr":{"type":"numeric_atoms","value":8125,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2318,"base":16}}}}},"used_operators":["8HhzD0ZcuI","rGHVDoGpnC","DhbWaqg5eL","tifHPKVTfV","jLgFTUHLKL","B5M0gjZbta","AHs5Up7iyr","g55IO6H4Gj","zVYPLywUTj","mp7IySMOzn","fu6greOZ01","o20kRiQErp"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Tcnh7f0tEr","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","dWAJyo7jo9","W4YGzv6Whe","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","3ViojmjbAp","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1827","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=1827, right_input=5667, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3840","layer":3},{"info":"compute unary expreesion, input=3840, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"number node, value=4945","layer":4},{"info":"number node, value=3368","layer":4},{"info":"compute binary expreesion, left_input=4945, right_input=3368, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"number node, value=5134","layer":4},{"info":"compute unary expreesion, input=5134, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=5402","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=5402, right_input=1145, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2290","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2290, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=4580","layer":2},{"info":"number node, value=2018","layer":4},{"info":"number node, value=8125","layer":4},{"info":"compute binary expreesion, left_input=2018, right_input=8125, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2318","layer":4},{"info":"compute unary expreesion, input=2318, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4580, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(+⊝⨔(∃⊬723⇼⇔∾∃⊬1623))⨟⋌⩍(↩∃⊬1351↬∃⊬D28)⨽((∃⊬140E⊪)⨸⪁∃⊬151A⇷∃⊬479)≹⇙⪍((∃⊬7E2⨐⩸⫘∃⊬1FBD)⨽(∃⊬90E∸))=NaN","reverse_text":"NaN=(+⊝⨔(∃⊬723⇼⇔∾∃⊬1623))⨟⋌⩍(↩∃⊬1351↬∃⊬D28)⨽((∃⊬140E⊪)⨸⪁∃⊬151A⇷∃⊬479)≹⇙⪍((∃⊬7E2⨐⩸⫘∃⊬1FBD)⨽(∃⊬90E∸))","cot":[{"info":"∃⊬723⇼⇔∾∃⊬1623=∃⊬F00","layer":3},{"info":"+⊝⨔∃⊬F00=∃⊬5F2","layer":2},{"info":"∃⊬1351↬∃⊬D28=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"∃⊬5F2⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬140E⊪=∃⊬0","layer":3},{"info":"∃⊬151A⇷∃⊬479=∃⊬8F2","layer":3},{"info":"∃⊬0⨸⪁∃⊬8F2=∃⊬11E4","layer":2},{"info":"∃⊬7E2⨐⩸⫘∃⊬1FBD=NaN","layer":3},{"info":"∃⊬90E∸=∃⊬B1","layer":3},{"info":"NaN⨽∃⊬B1=NaN","layer":2},{"info":"∃⊬11E4≹⇙⪍NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":796,"expression_no_base_symbol":"((⨵≀≌$1238$↬$1101$)⨰(≦∁$1753$*$4662$))↬((⊙↵-($3424$/$1445$))∑⇟⊟(($8614$⊭↱$2226$)↺$4445$∑⇟⊟$6898$))","expression":"((⨵≀≌∃⊬4D6↬∃⊬44D)⨰(≦∁∃⊬6D9*∃⊬1236))↬((⊙↵-(∃⊬D60/∃⊬5A5))∑⇟⊟((∃⊬21A6⊭↱∃⊬8B2)↺∃⊬115D∑⇟⊟∃⊬1AF2))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1805,"operation_count":12,"complexity_ratio":150.41666666666666,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1238,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1753,"base":16},"right_expr":{"type":"numeric_atoms","value":4662,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3424,"base":16},"right_expr":{"type":"numeric_atoms","value":1445,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":8614,"base":16},"right_expr":{"type":"numeric_atoms","value":2226,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4445,"base":16},"right_expr":{"type":"numeric_atoms","value":6898,"base":16}}}}},"used_operators":["B5M0gjZbta","eewbuw0ToL","srAu1WTS94","9ICcGScMcE","9HNa5Wba9A","U7g4x0WXJJ","oWn0xqSxBt","XhwjNDsVaA","7j4O788W3g","COABgblf1C"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1238","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=1238, right_input=1101, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=1753","layer":4},{"info":"number node, value=4662","layer":4},{"info":"compute binary expreesion, left_input=1753, right_input=4662, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8172486","layer":3},{"info":"compute unary expreesion, input=8172486, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=8172486","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8172486, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"number node, value=3424","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=1445, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute unary expreesion, input=2, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"number node, value=8614","layer":4},{"info":"number node, value=2226","layer":4},{"info":"compute binary expreesion, left_input=8614, right_input=2226, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-12771","layer":3},{"info":"number node, value=4445","layer":4},{"info":"number node, value=6898","layer":4},{"info":"compute binary expreesion, left_input=4445, right_input=6898, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12771, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⨵≀≌∃⊬4D6↬∃⊬44D)⨰(≦∁∃⊬6D9*∃⊬1236))↬((⊙↵-(∃⊬D60/∃⊬5A5))∑⇟⊟((∃⊬21A6⊭↱∃⊬8B2)↺∃⊬115D∑⇟⊟∃⊬1AF2))=NaN","reverse_text":"NaN=((⨵≀≌∃⊬4D6↬∃⊬44D)⨰(≦∁∃⊬6D9*∃⊬1236))↬((⊙↵-(∃⊬D60/∃⊬5A5))∑⇟⊟((∃⊬21A6⊭↱∃⊬8B2)↺∃⊬115D∑⇟⊟∃⊬1AF2))","cot":[{"info":"∃⊬4D6↬∃⊬44D=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"∃⊬6D9*∃⊬1236=∃⊬7CB3C6","layer":3},{"info":"≦∁∃⊬7CB3C6=∃⊬7CB3C6","layer":2},{"info":"NaN⨰∃⊬7CB3C6=NaN","layer":1},{"info":"∃⊬D60/∃⊬5A5=∃⊬2","layer":3},{"info":"⊙↵-∃⊬2=∃⊬0","layer":2},{"info":"∃⊬21A6⊭↱∃⊬8B2=∃⊬-31E3","layer":3},{"info":"∃⊬115D∑⇟⊟∃⊬1AF2=NaN","layer":3},{"info":"∃⊬-31E3↺NaN=NaN","layer":2},{"info":"∃⊬0∑⇟⊟NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":797,"expression_no_base_symbol":"(($1274$⋷$1433$)∑⇟⊟($1027$⋥≓≎$2310$)⫥∨⫟($2426$∀⇚≩$9671$⊭∹↮))↬(($4106$⊪)⋓($2107$⨸⪁$2993$))↬($2198$⪒$1879$)⪢($3557$↺$4569$)","expression":"((∃⊬4FA⋷∃⊬599)∑⇟⊟(∃⊬403⋥≓≎∃⊬906)⫥∨⫟(∃⊬97A∀⇚≩∃⊬25C7⊭∹↮))↬((∃⊬100A⊪)⋓(∃⊬83B⨸⪁∃⊬BB1))↬(∃⊬896⪒∃⊬757)⪢(∃⊬DE5↺∃⊬11D9)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":22007,"operation_count":14,"complexity_ratio":1571.9285714285713,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1274,"base":16},"right_expr":{"type":"numeric_atoms","value":1433,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1027,"base":16},"right_expr":{"type":"numeric_atoms","value":2310,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2426,"base":16},"right_expr":{"type":"numeric_atoms","value":9671,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":4106,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":2107,"base":16},"right_expr":{"type":"numeric_atoms","value":2993,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2198,"base":16},"right_expr":{"type":"numeric_atoms","value":1879,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3557,"base":16},"right_expr":{"type":"numeric_atoms","value":4569,"base":16}}}}},"used_operators":["B5M0gjZbta","KYD54nUTWz","U7g4x0WXJJ","23Mk6UjR3U","Qy55tPpLXF","xNBdhnnwKq","LRNGc0VcxI","T2fj7uvVaJ","zVYPLywUTj","g55IO6H4Gj","dWAJyo7jo9","f6k1SAg4EE","7j4O788W3g"],"dependent_operators":["rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","X99M06cbEe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1274","layer":4},{"info":"number node, value=1433","layer":4},{"info":"compute binary expreesion, left_input=1274, right_input=1433, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1592","layer":3},{"info":"number node, value=1027","layer":4},{"info":"number node, value=2310","layer":4},{"info":"compute binary expreesion, left_input=1027, right_input=2310, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3626","layer":3},{"info":"compute binary expreesion, left_input=1592, right_input=3626, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=2426","layer":4},{"info":"number node, value=9671","layer":4},{"info":"compute binary expreesion, left_input=2426, right_input=9671, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=4106","layer":4},{"info":"compute unary expreesion, input=4106, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=2107","layer":4},{"info":"number node, value=2993","layer":4},{"info":"compute binary expreesion, left_input=2107, right_input=2993, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=10200","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=10200, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2198","layer":4},{"info":"number node, value=1879","layer":4},{"info":"compute binary expreesion, left_input=2198, right_input=1879, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4077","layer":3},{"info":"number node, value=3557","layer":4},{"info":"number node, value=4569","layer":4},{"info":"compute binary expreesion, left_input=3557, right_input=4569, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=4569","layer":3},{"info":"compute binary expreesion, left_input=-4077, right_input=4569, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬4FA⋷∃⊬599)∑⇟⊟(∃⊬403⋥≓≎∃⊬906)⫥∨⫟(∃⊬97A∀⇚≩∃⊬25C7⊭∹↮))↬((∃⊬100A⊪)⋓(∃⊬83B⨸⪁∃⊬BB1))↬(∃⊬896⪒∃⊬757)⪢(∃⊬DE5↺∃⊬11D9)=NaN","reverse_text":"NaN=((∃⊬4FA⋷∃⊬599)∑⇟⊟(∃⊬403⋥≓≎∃⊬906)⫥∨⫟(∃⊬97A∀⇚≩∃⊬25C7⊭∹↮))↬((∃⊬100A⊪)⋓(∃⊬83B⨸⪁∃⊬BB1))↬(∃⊬896⪒∃⊬757)⪢(∃⊬DE5↺∃⊬11D9)","cot":[{"info":"∃⊬4FA⋷∃⊬599=∃⊬638","layer":3},{"info":"∃⊬403⋥≓≎∃⊬906=∃⊬E2A","layer":3},{"info":"∃⊬638∑⇟⊟∃⊬E2A=NaN","layer":2},{"info":"∃⊬97A∀⇚≩∃⊬25C7=NaN","layer":3},{"info":"NaN⊭∹↮=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬100A⊪=∃⊬0","layer":3},{"info":"∃⊬83B⨸⪁∃⊬BB1=∃⊬27D8","layer":3},{"info":"∃⊬0⋓∃⊬27D8=∃⊬0","layer":2},{"info":"∃⊬896⪒∃⊬757=∃⊬-FED","layer":3},{"info":"∃⊬DE5↺∃⊬11D9=∃⊬11D9","layer":3},{"info":"∃⊬-FED⪢∃⊬11D9=NaN","layer":2},{"info":"∃⊬0↬NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":798,"expression_no_base_symbol":"(($6538$⊭↱$4659$)≧⫂∧($5011$⨎$4581$)⫩⊇)≭($1188$⪄$1568$/(⊥$7412$))⨰(↥$1280$⊴$5449$)","expression":"((∃⊬198A⊭↱∃⊬1233)≧⫂∧(∃⊬1393⨎∃⊬11E5)⫩⊇)≭(∃⊬4A4⪄∃⊬620/(⊥∃⊬1CF4))⨰(↥∃⊬500⊴∃⊬1549)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5570,"operation_count":11,"complexity_ratio":506.3636363636364,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":6538,"base":16},"right_expr":{"type":"numeric_atoms","value":4659,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":5011,"base":16},"right_expr":{"type":"numeric_atoms","value":4581,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1188,"base":16},"right_expr":{"type":"numeric_atoms","value":1568,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":7412,"base":16}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1280,"base":16},"right_expr":{"type":"numeric_atoms","value":5449,"base":16}}}}},"used_operators":["rxpJgHHUmx","BjRHVeLaeN","Ph9nP6C5qx","COABgblf1C","rJVOvQCfKK","eewbuw0ToL","XhwjNDsVaA","SUmda5xLS4","Q3PJZHRvZv","A8NUZmVepG","Nsiff2A1zJ"],"dependent_operators":["AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","fu6greOZ01","k8jYdgA6NY","dWAJyo7jo9","14qkJME0vr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6538","layer":4},{"info":"number node, value=4659","layer":4},{"info":"compute binary expreesion, left_input=6538, right_input=4659, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3753","layer":3},{"info":"number node, value=5011","layer":4},{"info":"number node, value=4581","layer":4},{"info":"compute binary expreesion, left_input=5011, right_input=4581, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4581","layer":3},{"info":"compute binary expreesion, left_input=-3753, right_input=4581, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4108","layer":2},{"info":"compute unary expreesion, input=4108, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-4066","layer":1},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1568","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1568, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-178185","layer":3},{"info":"number node, value=7412","layer":4},{"info":"compute unary expreesion, input=7412, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-178185, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1280","layer":4},{"info":"number node, value=5449","layer":4},{"info":"compute binary expreesion, left_input=1280, right_input=5449, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4066, 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":"((∃⊬198A⊭↱∃⊬1233)≧⫂∧(∃⊬1393⨎∃⊬11E5)⫩⊇)≭(∃⊬4A4⪄∃⊬620/(⊥∃⊬1CF4))⨰(↥∃⊬500⊴∃⊬1549)=NaN","reverse_text":"NaN=((∃⊬198A⊭↱∃⊬1233)≧⫂∧(∃⊬1393⨎∃⊬11E5)⫩⊇)≭(∃⊬4A4⪄∃⊬620/(⊥∃⊬1CF4))⨰(↥∃⊬500⊴∃⊬1549)","cot":[{"info":"∃⊬198A⊭↱∃⊬1233=∃⊬-EA9","layer":3},{"info":"∃⊬1393⨎∃⊬11E5=∃⊬11E5","layer":3},{"info":"∃⊬-EA9≧⫂∧∃⊬11E5=∃⊬100C","layer":2},{"info":"∃⊬100C⫩⊇=∃⊬-FE2","layer":1},{"info":"∃⊬4A4⪄∃⊬620=∃⊬-2B809","layer":3},{"info":"⊥∃⊬1CF4=NaN","layer":3},{"info":"∃⊬-2B809/NaN=NaN","layer":2},{"info":"∃⊬500⊴∃⊬1549=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"NaN⨰NaN=NaN","layer":1},{"info":"∃⊬-FE2≭NaN=NaN","layer":0}]}
{"id":799,"expression_no_base_symbol":"(≤/($1482$⫡⨏$3953$))⪄($1342$↬$2804$)⪢(⫓⪴$3293$)⪒(($1573$⩷∴$4862$)∀⇚≩($2659$⋳⪒$3901$))⪢(($1171$⩠)⨽(≦∁$2030$))","expression":"(≤/(∃⊬5CA⫡⨏∃⊬F71))⪄(∃⊬53E↬∃⊬AF4)⪢(⫓⪴∃⊬CDD)⪒((∃⊬625⩷∴∃⊬12FE)∀⇚≩(∃⊬A63⋳⪒∃⊬F3D))⪢((∃⊬493⩠)⨽(≦∁∃⊬7EE))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":54486,"operation_count":14,"complexity_ratio":3891.8571428571427,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1482,"base":16},"right_expr":{"type":"numeric_atoms","value":3953,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1342,"base":16},"right_expr":{"type":"numeric_atoms","value":2804,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3293,"base":16}}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1573,"base":16},"right_expr":{"type":"numeric_atoms","value":4862,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2659,"base":16},"right_expr":{"type":"numeric_atoms","value":3901,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":1171,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2030,"base":16}}}}},"used_operators":["f6k1SAg4EE","SUmda5xLS4","eLAdDNolq6","QMFrweE19q","dWAJyo7jo9","B5M0gjZbta","eLxqMNBOBk","LRNGc0VcxI","9FxExcQeMw","12rbrZMWeM","8HhzD0ZcuI","sJAwomhLZr","9ICcGScMcE"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rGHVDoGpnC","9HNa5Wba9A","X99M06cbEe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1482","layer":4},{"info":"number node, value=3953","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=3953, 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=16099","layer":3},{"info":"compute unary expreesion, input=16099, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-15615","layer":2},{"info":"number node, value=1342","layer":4},{"info":"number node, value=2804","layer":4},{"info":"compute binary expreesion, left_input=1342, right_input=2804, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3293","layer":4},{"info":"compute unary expreesion, input=3293, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10843849","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=10843849, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-15615, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1573","layer":4},{"info":"number node, value=4862","layer":4},{"info":"compute binary expreesion, left_input=1573, right_input=4862, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6610","layer":3},{"info":"number node, value=2659","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=2659, right_input=3901, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1130","layer":3},{"info":"compute binary expreesion, left_input=-6610, right_input=1130, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1171","layer":4},{"info":"compute unary expreesion, input=1171, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2030","layer":4},{"info":"compute unary expreesion, input=2030, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2030","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=2030, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4776","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4776, 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=3979, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/(∃⊬5CA⫡⨏∃⊬F71))⪄(∃⊬53E↬∃⊬AF4)⪢(⫓⪴∃⊬CDD)⪒((∃⊬625⩷∴∃⊬12FE)∀⇚≩(∃⊬A63⋳⪒∃⊬F3D))⪢((∃⊬493⩠)⨽(≦∁∃⊬7EE))=NaN","reverse_text":"NaN=(≤/(∃⊬5CA⫡⨏∃⊬F71))⪄(∃⊬53E↬∃⊬AF4)⪢(⫓⪴∃⊬CDD)⪒((∃⊬625⩷∴∃⊬12FE)∀⇚≩(∃⊬A63⋳⪒∃⊬F3D))⪢((∃⊬493⩠)⨽(≦∁∃⊬7EE))","cot":[{"info":"∃⊬5CA⫡⨏∃⊬F71=∃⊬3EE3","layer":3},{"info":"≤/∃⊬3EE3=∃⊬-3CFF","layer":2},{"info":"∃⊬53E↬∃⊬AF4=NaN","layer":3},{"info":"⫓⪴∃⊬CDD=∃⊬A576C9","layer":3},{"info":"NaN⪢∃⊬A576C9=NaN","layer":2},{"info":"∃⊬-3CFF⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬625⩷∴∃⊬12FE=∃⊬-19D2","layer":3},{"info":"∃⊬A63⋳⪒∃⊬F3D=∃⊬46A","layer":3},{"info":"∃⊬-19D2∀⇚≩∃⊬46A=NaN","layer":2},{"info":"∃⊬493⩠=∃⊬0","layer":3},{"info":"≦∁∃⊬7EE=∃⊬7EE","layer":3},{"info":"∃⊬0⨽∃⊬7EE=∃⊬-12A8","layer":2},{"info":"NaN⪢∃⊬-12A8=NaN","layer":1},{"info":"∃⊬F8B⪒NaN=NaN","layer":0}]}
{"id":800,"expression_no_base_symbol":"(⫓⪴(($1797$⪒$1180$)⩤))↙((($1308$⊪)⩤)⨵⪆($4546$⩷∴$2564$⫡⨏(-$1211$)))","expression":"(⫓⪴((∃⊬705⪒∃⊬49C)⩤))↙(((∃⊬51C⊪)⩤)⨵⪆(∃⊬11C2⩷∴∃⊬A04⫡⨏(-∃⊬4BB)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3193,"operation_count":10,"complexity_ratio":319.3,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1797,"base":16},"right_expr":{"type":"numeric_atoms","value":1180,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":1308,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":4546,"base":16},"right_expr":{"type":"numeric_atoms","value":2564,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1211,"base":16}}}}},"used_operators":["yyfyN0ffXY","eLxqMNBOBk","Z2TMIBDE3Q","f6k1SAg4EE","2DQ55sFlQl","zVYPLywUTj","QMFrweE19q","9FxExcQeMw","t8gj7n24qd"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬-1E0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1797","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=1797, right_input=1180, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2977","layer":3},{"info":"compute unary expreesion, input=-2977, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=2977","layer":2},{"info":"compute unary expreesion, input=2977, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=8862529","layer":1},{"info":"number node, value=1308","layer":4},{"info":"compute unary expreesion, input=1308, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=0","layer":2},{"info":"number node, value=4546","layer":4},{"info":"number node, value=2564","layer":4},{"info":"compute binary expreesion, left_input=4546, right_input=2564, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3932","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1211","layer":3},{"info":"compute binary expreesion, left_input=3932, right_input=-1211, 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=18021","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=18021, 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=8862529, right_input=160, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-480","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴((∃⊬705⪒∃⊬49C)⩤))↙(((∃⊬51C⊪)⩤)⨵⪆(∃⊬11C2⩷∴∃⊬A04⫡⨏(-∃⊬4BB)))=∃⊬-1E0","reverse_text":"∃⊬-1E0=(⫓⪴((∃⊬705⪒∃⊬49C)⩤))↙(((∃⊬51C⊪)⩤)⨵⪆(∃⊬11C2⩷∴∃⊬A04⫡⨏(-∃⊬4BB)))","cot":[{"info":"∃⊬705⪒∃⊬49C=∃⊬-BA1","layer":3},{"info":"∃⊬-BA1⩤=∃⊬BA1","layer":2},{"info":"⫓⪴∃⊬BA1=∃⊬873B41","layer":1},{"info":"∃⊬51C⊪=∃⊬0","layer":3},{"info":"∃⊬0⩤=∃⊬0","layer":2},{"info":"∃⊬11C2⩷∴∃⊬A04=∃⊬F5C","layer":3},{"info":"-∃⊬4BB=∃⊬-4BB","layer":3},{"info":"∃⊬F5C⫡⨏∃⊬-4BB=∃⊬4665","layer":2},{"info":"∃⊬0⨵⪆∃⊬4665=∃⊬A0","layer":1},{"info":"∃⊬873B41↙∃⊬A0=∃⊬-1E0","layer":0}]}
{"id":801,"expression_no_base_symbol":"((⪲⇎$7216$)↙(↔$7652$)⪨≂$1205$*$2284$-$1177$+⇶⊼$1123$)⨽(($1319$≎⊠⪸$2443$)⨓(∥⊫$1812$))⇷($2504$∲⫓$2021$)⨟⋌⩍($6841$⨰$2248$)","expression":"((⪲⇎∃⊬1C30)↙(↔∃⊬1DE4)⪨≂∃⊬4B5*∃⊬8EC-∃⊬499+⇶⊼∃⊬463)⨽((∃⊬527≎⊠⪸∃⊬98B)⨓(∥⊫∃⊬714))⇷(∃⊬9C8∲⫓∃⊬7E5)⨟⋌⩍(∃⊬1AB9⨰∃⊬8C8)","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":49150,"operation_count":15,"complexity_ratio":3276.6666666666665,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":7216,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":7652,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1205,"base":16},"right_expr":{"type":"numeric_atoms","value":2284,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1177,"base":16},"right_expr":{"type":"numeric_atoms","value":1123,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1319,"base":16},"right_expr":{"type":"numeric_atoms","value":2443,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1812,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2504,"base":16},"right_expr":{"type":"numeric_atoms","value":2021,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6841,"base":16},"right_expr":{"type":"numeric_atoms","value":2248,"base":16}}}}},"used_operators":["8HhzD0ZcuI","sdazOOVcIp","yyfyN0ffXY","XPYlsWDdGa","ruOEQAzv1W","rysDP5nf3Z","9HNa5Wba9A","TpPTUOHfaN","mp7IySMOzn","3ViojmjbAp","bJkvcejdHO","P8v4zCKN1o","rGHVDoGpnC","i8ToyICDmI","eewbuw0ToL"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7216","layer":4},{"info":"compute unary expreesion, input=7216, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=14432","layer":3},{"info":"number node, value=7652","layer":4},{"info":"compute unary expreesion, input=7652, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-7379","layer":3},{"info":"compute binary expreesion, left_input=14432, right_input=-7379, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-22137","layer":2},{"info":"number node, value=1205","layer":4},{"info":"number node, value=2284","layer":4},{"info":"compute binary expreesion, left_input=1205, right_input=2284, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2752220","layer":3},{"info":"number node, value=1177","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1177, right_input=1123, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2752220, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-22137, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=1319","layer":4},{"info":"number node, value=2443","layer":4},{"info":"compute binary expreesion, left_input=1319, right_input=2443, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=341148","layer":3},{"info":"number node, value=1812","layer":4},{"info":"compute unary expreesion, input=1812, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2680","layer":3},{"info":"compute binary expreesion, left_input=341148, right_input=2680, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2683","layer":2},{"info":"number node, value=2504","layer":4},{"info":"number node, value=2021","layer":4},{"info":"compute binary expreesion, left_input=2504, right_input=2021, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=6841","layer":4},{"info":"number node, value=2248","layer":4},{"info":"compute binary expreesion, left_input=6841, right_input=2248, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4603","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=4603, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2683, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪲⇎∃⊬1C30)↙(↔∃⊬1DE4)⪨≂∃⊬4B5*∃⊬8EC-∃⊬499+⇶⊼∃⊬463)⨽((∃⊬527≎⊠⪸∃⊬98B)⨓(∥⊫∃⊬714))⇷(∃⊬9C8∲⫓∃⊬7E5)⨟⋌⩍(∃⊬1AB9⨰∃⊬8C8)=NaN","reverse_text":"NaN=((⪲⇎∃⊬1C30)↙(↔∃⊬1DE4)⪨≂∃⊬4B5*∃⊬8EC-∃⊬499+⇶⊼∃⊬463)⨽((∃⊬527≎⊠⪸∃⊬98B)⨓(∥⊫∃⊬714))⇷(∃⊬9C8∲⫓∃⊬7E5)⨟⋌⩍(∃⊬1AB9⨰∃⊬8C8)","cot":[{"info":"⪲⇎∃⊬1C30=∃⊬3860","layer":3},{"info":"↔∃⊬1DE4=∃⊬-1CD3","layer":3},{"info":"∃⊬3860↙∃⊬-1CD3=∃⊬-5679","layer":2},{"info":"∃⊬4B5*∃⊬8EC=∃⊬29FEDC","layer":3},{"info":"∃⊬499+⇶⊼∃⊬463=NaN","layer":3},{"info":"∃⊬29FEDC-NaN=NaN","layer":2},{"info":"∃⊬-5679⪨≂NaN=NaN","layer":1},{"info":"∃⊬527≎⊠⪸∃⊬98B=∃⊬5349C","layer":3},{"info":"∥⊫∃⊬714=∃⊬A78","layer":3},{"info":"∃⊬5349C⨓∃⊬A78=∃⊬-A7B","layer":2},{"info":"∃⊬9C8∲⫓∃⊬7E5=∃⊬0","layer":3},{"info":"∃⊬1AB9⨰∃⊬8C8=∃⊬11FB","layer":3},{"info":"∃⊬0⨟⋌⩍∃⊬11FB=NaN","layer":2},{"info":"∃⊬-A7B⇷NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":802,"expression_no_base_symbol":"↥((⪲⇎(↥$2119$))⫩⊇)","expression":"↥((⪲⇎(↥∃⊬847))⫩⊇)","highest_n_order":2,"priority_hierarchical_complexity":2,"normalized_expansion_degree":46,"operation_count":4,"complexity_ratio":11.5,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2119,"base":16}}}}},"used_operators":["A8NUZmVepG","BjRHVeLaeN","XPYlsWDdGa"],"dependent_operators":["k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬25","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2119","layer":4},{"info":"compute unary expreesion, input=2119, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=28","layer":3},{"info":"compute unary expreesion, input=28, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=56","layer":2},{"info":"compute unary expreesion, input=56, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-14","layer":1},{"info":"compute unary expreesion, input=-14, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=37","layer":0}],"base":16,"result_base":16,"text":"↥((⪲⇎(↥∃⊬847))⫩⊇)=∃⊬25","reverse_text":"∃⊬25=↥((⪲⇎(↥∃⊬847))⫩⊇)","cot":[{"info":"↥∃⊬847=∃⊬1C","layer":3},{"info":"⪲⇎∃⊬1C=∃⊬38","layer":2},{"info":"∃⊬38⫩⊇=∃⊬-E","layer":1},{"info":"↥∃⊬-E=∃⊬25","layer":0}]}
{"id":803,"expression_no_base_symbol":"⨵≀≌($7529$⫡⨏$5576$)∼($1686$≎⊠⪸$1651$)+⇶⊼(⨰⫟⨤$3210$)↬(↯⪼$3929$)","expression":"⨵≀≌(∃⊬1D69⫡⨏∃⊬15C8)∼(∃⊬696≎⊠⪸∃⊬673)+⇶⊼(⨰⫟⨤∃⊬C8A)↬(↯⪼∃⊬F59)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13287,"operation_count":8,"complexity_ratio":1660.875,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7529,"base":16},"right_expr":{"type":"numeric_atoms","value":5576,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1686,"base":16},"right_expr":{"type":"numeric_atoms","value":1651,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":3210,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":3929,"base":16}}}}},"used_operators":["srAu1WTS94","TpPTUOHfaN","DyGG3AbaNP","QMFrweE19q","bJkvcejdHO","B5M0gjZbta","Tw270M8GLb","8jW3W4yZS5"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","AHs5Up7iyr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7529","layer":4},{"info":"number node, value=5576","layer":4},{"info":"compute binary expreesion, left_input=7529, right_input=5576, 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=49580","layer":3},{"info":"number node, value=1686","layer":4},{"info":"number node, value=1651","layer":4},{"info":"compute binary expreesion, left_input=1686, right_input=1651, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=436201","layer":3},{"info":"compute binary expreesion, left_input=49580, right_input=436201, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=3210","layer":4},{"info":"compute unary expreesion, input=3210, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=3929","layer":4},{"info":"compute unary expreesion, input=3929, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = 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":"⨵≀≌(∃⊬1D69⫡⨏∃⊬15C8)∼(∃⊬696≎⊠⪸∃⊬673)+⇶⊼(⨰⫟⨤∃⊬C8A)↬(↯⪼∃⊬F59)=NaN","reverse_text":"NaN=⨵≀≌(∃⊬1D69⫡⨏∃⊬15C8)∼(∃⊬696≎⊠⪸∃⊬673)+⇶⊼(⨰⫟⨤∃⊬C8A)↬(↯⪼∃⊬F59)","cot":[{"info":"∃⊬1D69⫡⨏∃⊬15C8=∃⊬C1AC","layer":3},{"info":"∃⊬696≎⊠⪸∃⊬673=∃⊬6A7E9","layer":3},{"info":"∃⊬C1AC∼∃⊬6A7E9=NaN","layer":2},{"info":"⨰⫟⨤∃⊬C8A=NaN","layer":3},{"info":"↯⪼∃⊬F59=∃⊬-15","layer":3},{"info":"NaN↬∃⊬-15=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":804,"expression_no_base_symbol":"⇁⨣⪵(($5236$∧)⫸⊐(≤/$5557$))⊴((⇁⨣⪵$2162$)⊭↱($1008$∧))","expression":"⇁⨣⪵((∃⊬1474∧)⫸⊐(≤/∃⊬15B5))⊴((⇁⨣⪵∃⊬872)⊭↱(∃⊬3F0∧))","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":32,"operation_count":8,"complexity_ratio":4.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":5236,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":5557,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":2162,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1008,"base":16}}}}},"used_operators":["inkyxCbjAn","Nsiff2A1zJ","mqXw5SEYmG","z63VuFQld9","eLAdDNolq6","COABgblf1C"],"dependent_operators":["B5M0gjZbta","dWAJyo7jo9","14qkJME0vr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5236","layer":4},{"info":"compute unary expreesion, input=5236, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=5557","layer":4},{"info":"compute unary expreesion, input=5557, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-5073","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5073, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=2162","layer":4},{"info":"compute unary expreesion, input=2162, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1008","layer":4},{"info":"compute unary expreesion, input=1008, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', 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":"⇁⨣⪵((∃⊬1474∧)⫸⊐(≤/∃⊬15B5))⊴((⇁⨣⪵∃⊬872)⊭↱(∃⊬3F0∧))=NaN","reverse_text":"NaN=⇁⨣⪵((∃⊬1474∧)⫸⊐(≤/∃⊬15B5))⊴((⇁⨣⪵∃⊬872)⊭↱(∃⊬3F0∧))","cot":[{"info":"∃⊬1474∧=NaN","layer":3},{"info":"≤/∃⊬15B5=∃⊬-13D1","layer":3},{"info":"NaN⫸⊐∃⊬-13D1=NaN","layer":2},{"info":"⇁⨣⪵∃⊬872=NaN","layer":3},{"info":"∃⊬3F0∧=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":805,"expression_no_base_symbol":"(($1313$⨽$3956$)∑⇟⊟($1243$⨽$1835$)⋷$3171$∀⇚≩$1411$⪒$4248$%$1727$)⪢(($2809$⊉≛↸$1361$)⩚⊴⇥$6540$⋝⋈⪟$1471$)⊴(($1330$⪒$5598$)⩷∴($1638$/$3891$))","expression":"((∃⊬521⨽∃⊬F74)∑⇟⊟(∃⊬4DB⨽∃⊬72B)⋷∃⊬C63∀⇚≩∃⊬583⪒∃⊬1098%∃⊬6BF)⪢((∃⊬AF9⊉≛↸∃⊬551)⩚⊴⇥∃⊬198C⋝⋈⪟∃⊬5BF)⊴((∃⊬532⪒∃⊬15DE)⩷∴(∃⊬666/∃⊬F33))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":38692,"operation_count":15,"complexity_ratio":2579.4666666666667,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1313,"base":16},"right_expr":{"type":"numeric_atoms","value":3956,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1243,"base":16},"right_expr":{"type":"numeric_atoms","value":1835,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3171,"base":16},"right_expr":{"type":"numeric_atoms","value":1411,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4248,"base":16},"right_expr":{"type":"numeric_atoms","value":1727,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2809,"base":16},"right_expr":{"type":"numeric_atoms","value":1361,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6540,"base":16},"right_expr":{"type":"numeric_atoms","value":1471,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1330,"base":16},"right_expr":{"type":"numeric_atoms","value":5598,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1638,"base":16},"right_expr":{"type":"numeric_atoms","value":3891,"base":16}}}}},"used_operators":["dWAJyo7jo9","23Mk6UjR3U","U7g4x0WXJJ","8HhzD0ZcuI","f6k1SAg4EE","LRNGc0VcxI","k8jYdgA6NY","Nsiff2A1zJ","NTOWxs364D","DZ8iAZOCBD","2DDjHMKMc0","9FxExcQeMw","XhwjNDsVaA"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1313","layer":4},{"info":"number node, value=3956","layer":4},{"info":"compute binary expreesion, left_input=1313, right_input=3956, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5182461","layer":3},{"info":"number node, value=1243","layer":4},{"info":"number node, value=1835","layer":4},{"info":"compute binary expreesion, left_input=1243, right_input=1835, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4639338","layer":3},{"info":"compute binary expreesion, left_input=-5182461, right_input=-4639338, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=3171","layer":4},{"info":"number node, value=1411","layer":4},{"info":"compute binary expreesion, left_input=3171, right_input=1411, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4248","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=4248, right_input=1727, op_id = k8jYdgA6NY binary_op_definition= 'None', output=794","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=794, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":1},{"info":"number node, value=2809","layer":4},{"info":"number node, value=1361","layer":4},{"info":"compute binary expreesion, left_input=2809, right_input=1361, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5618","layer":3},{"info":"number node, value=6540","layer":4},{"info":"number node, value=1471","layer":4},{"info":"compute binary expreesion, left_input=6540, right_input=1471, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6540","layer":3},{"info":"compute binary expreesion, left_input=5618, right_input=6540, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-12279","layer":2},{"info":"number node, value=1330","layer":4},{"info":"number node, value=5598","layer":4},{"info":"compute binary expreesion, left_input=1330, right_input=5598, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-6928","layer":3},{"info":"number node, value=1638","layer":4},{"info":"number node, value=3891","layer":4},{"info":"compute binary expreesion, left_input=1638, right_input=3891, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute binary expreesion, left_input=-6928, right_input=0, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-13888","layer":2},{"info":"compute binary expreesion, left_input=-12279, right_input=-13888, 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 = 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":"((∃⊬521⨽∃⊬F74)∑⇟⊟(∃⊬4DB⨽∃⊬72B)⋷∃⊬C63∀⇚≩∃⊬583⪒∃⊬1098%∃⊬6BF)⪢((∃⊬AF9⊉≛↸∃⊬551)⩚⊴⇥∃⊬198C⋝⋈⪟∃⊬5BF)⊴((∃⊬532⪒∃⊬15DE)⩷∴(∃⊬666/∃⊬F33))=NaN","reverse_text":"NaN=((∃⊬521⨽∃⊬F74)∑⇟⊟(∃⊬4DB⨽∃⊬72B)⋷∃⊬C63∀⇚≩∃⊬583⪒∃⊬1098%∃⊬6BF)⪢((∃⊬AF9⊉≛↸∃⊬551)⩚⊴⇥∃⊬198C⋝⋈⪟∃⊬5BF)⊴((∃⊬532⪒∃⊬15DE)⩷∴(∃⊬666/∃⊬F33))","cot":[{"info":"∃⊬521⨽∃⊬F74=∃⊬-4F13FD","layer":3},{"info":"∃⊬4DB⨽∃⊬72B=∃⊬-46CA6A","layer":3},{"info":"∃⊬-4F13FD∑⇟⊟∃⊬-46CA6A=NaN","layer":2},{"info":"∃⊬C63∀⇚≩∃⊬583=NaN","layer":3},{"info":"∃⊬1098%∃⊬6BF=∃⊬31A","layer":3},{"info":"NaN⪒∃⊬31A=NaN","layer":2},{"info":"NaN⋷NaN=NaN","layer":1},{"info":"∃⊬AF9⊉≛↸∃⊬551=∃⊬15F2","layer":3},{"info":"∃⊬198C⋝⋈⪟∃⊬5BF=∃⊬198C","layer":3},{"info":"∃⊬15F2⩚⊴⇥∃⊬198C=∃⊬-2FF7","layer":2},{"info":"∃⊬532⪒∃⊬15DE=∃⊬-1B10","layer":3},{"info":"∃⊬666/∃⊬F33=∃⊬0","layer":3},{"info":"∃⊬-1B10⩷∴∃⊬0=∃⊬-3640","layer":2},{"info":"∃⊬-2FF7⊴∃⊬-3640=NaN","layer":1},{"info":"NaN⪢NaN=NaN","layer":0}]}
{"id":806,"expression_no_base_symbol":"↽≂(($3769$≎⊠⪸$9387$*$2474$∀⇚≩$1038$)↺(↯⪼($3253$∧)))","expression":"↽≂((∃⊬EB9≎⊠⪸∃⊬24AB*∃⊬9AA∀⇚≩∃⊬40E)↺(↯⪼(∃⊬CB5∧)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":17631,"operation_count":7,"complexity_ratio":2518.714285714286,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3769,"base":16},"right_expr":{"type":"numeric_atoms","value":9387,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":2474,"base":16},"right_expr":{"type":"numeric_atoms","value":1038,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3253,"base":16}}}}},"used_operators":["u6S6b8DprG","7j4O788W3g","9HNa5Wba9A","bJkvcejdHO","LRNGc0VcxI","8jW3W4yZS5","z63VuFQld9"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","X99M06cbEe","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬2A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3769","layer":4},{"info":"number node, value=9387","layer":4},{"info":"compute binary expreesion, left_input=3769, right_input=9387, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=975698","layer":3},{"info":"number node, value=2474","layer":4},{"info":"number node, value=1038","layer":4},{"info":"compute binary expreesion, left_input=2474, right_input=1038, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=975698, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=3253","layer":4},{"info":"compute unary expreesion, input=3253, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, 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":1},{"info":"compute unary expreesion, input=-21, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=42","layer":0}],"base":16,"result_base":16,"text":"↽≂((∃⊬EB9≎⊠⪸∃⊬24AB*∃⊬9AA∀⇚≩∃⊬40E)↺(↯⪼(∃⊬CB5∧)))=∃⊬2A","reverse_text":"∃⊬2A=↽≂((∃⊬EB9≎⊠⪸∃⊬24AB*∃⊬9AA∀⇚≩∃⊬40E)↺(↯⪼(∃⊬CB5∧)))","cot":[{"info":"∃⊬EB9≎⊠⪸∃⊬24AB=∃⊬EE352","layer":3},{"info":"∃⊬9AA∀⇚≩∃⊬40E=NaN","layer":3},{"info":"∃⊬EE352*NaN=NaN","layer":2},{"info":"∃⊬CB5∧=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"NaN↺∃⊬-15=∃⊬-15","layer":1},{"info":"↽≂∃⊬-15=∃⊬2A","layer":0}]}
{"id":807,"expression_no_base_symbol":"(⇁⨣⪵($2509$≎⊠⪸$4177$⪨≂$1520$⪄$3962$))⪛(⨑⩽⪐$2658$↬$5214$)⪮%⊝((⇁⨣⪵$3897$)≎⊠⪸(⊥$3188$))","expression":"(⇁⨣⪵(∃⊬9CD≎⊠⪸∃⊬1051⪨≂∃⊬5F0⪄∃⊬F7A))⪛(⨑⩽⪐∃⊬A62↬∃⊬145E)⪮%⊝((⇁⨣⪵∃⊬F39)≎⊠⪸(⊥∃⊬C74))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":405,"operation_count":11,"complexity_ratio":36.81818181818182,"tree":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2509,"base":16},"right_expr":{"type":"numeric_atoms","value":4177,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1520,"base":16},"right_expr":{"type":"numeric_atoms","value":3962,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2658,"base":16},"right_expr":{"type":"numeric_atoms","value":5214,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":3897,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3188,"base":16}}}}},"used_operators":["uFcxV4UQCh","inkyxCbjAn","sdazOOVcIp","bJkvcejdHO","SUmda5xLS4","IWmyXbctLI","AF7qkfDlqP","B5M0gjZbta","Q3PJZHRvZv"],"dependent_operators":["9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rGHVDoGpnC","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2509","layer":4},{"info":"number node, value=4177","layer":4},{"info":"compute binary expreesion, left_input=2509, right_input=4177, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=649358","layer":3},{"info":"number node, value=1520","layer":4},{"info":"number node, value=3962","layer":4},{"info":"compute binary expreesion, left_input=1520, right_input=3962, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-236897","layer":3},{"info":"compute binary expreesion, left_input=649358, right_input=-236897, 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=1772612","layer":2},{"info":"compute unary expreesion, input=1772612, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=2658","layer":4},{"info":"number node, value=5214","layer":4},{"info":"compute binary expreesion, left_input=2658, right_input=5214, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"number node, value=3897","layer":4},{"info":"compute unary expreesion, input=3897, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3188","layer":4},{"info":"compute unary expreesion, input=3188, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵(∃⊬9CD≎⊠⪸∃⊬1051⪨≂∃⊬5F0⪄∃⊬F7A))⪛(⨑⩽⪐∃⊬A62↬∃⊬145E)⪮%⊝((⇁⨣⪵∃⊬F39)≎⊠⪸(⊥∃⊬C74))=NaN","reverse_text":"NaN=(⇁⨣⪵(∃⊬9CD≎⊠⪸∃⊬1051⪨≂∃⊬5F0⪄∃⊬F7A))⪛(⨑⩽⪐∃⊬A62↬∃⊬145E)⪮%⊝((⇁⨣⪵∃⊬F39)≎⊠⪸(⊥∃⊬C74))","cot":[{"info":"∃⊬9CD≎⊠⪸∃⊬1051=∃⊬9E88E","layer":3},{"info":"∃⊬5F0⪄∃⊬F7A=∃⊬-39D61","layer":3},{"info":"∃⊬9E88E⪨≂∃⊬-39D61=∃⊬1B0C44","layer":2},{"info":"⇁⨣⪵∃⊬1B0C44=NaN","layer":1},{"info":"∃⊬A62↬∃⊬145E=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"⇁⨣⪵∃⊬F39=NaN","layer":3},{"info":"⊥∃⊬C74=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":2},{"info":"NaN⪮%⊝∃⊬43=NaN","layer":1},{"info":"NaN⪛NaN=NaN","layer":0}]}
{"id":808,"expression_no_base_symbol":"($2540$⨐⩸⫘$1151$)⋥≓≎$1480$∼$1086$⫡⨏$4144$⪛$1011$≧⫂∧(∥⊫$4276$)⋷(∥⊫$2919$)⋳⪒($3573$⫸⊐$7682$)⫸⊐$1382$⫥∨⫟$1029$⨽($5001$⪄$5161$)","expression":"(∃⊬9EC⨐⩸⫘∃⊬47F)⋥≓≎∃⊬5C8∼∃⊬43E⫡⨏∃⊬1030⪛∃⊬3F3≧⫂∧(∥⊫∃⊬10B4)⋷(∥⊫∃⊬B67)⋳⪒(∃⊬DF5⫸⊐∃⊬1E02)⫸⊐∃⊬566⫥∨⫟∃⊬405⨽(∃⊬1389⪄∃⊬1429)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":354,"operation_count":15,"complexity_ratio":23.6,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":2540,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1480,"base":16},"right_expr":{"type":"numeric_atoms","value":1086,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4144,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4276,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2919,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3573,"base":16},"right_expr":{"type":"numeric_atoms","value":7682,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1382,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5001,"base":16},"right_expr":{"type":"numeric_atoms","value":5161,"base":16}}}}},"used_operators":["23Mk6UjR3U","QMFrweE19q","Qy55tPpLXF","fu6greOZ01","DyGG3AbaNP","Ph9nP6C5qx","uFcxV4UQCh","P8v4zCKN1o","mqXw5SEYmG","12rbrZMWeM","8HhzD0ZcuI","KYD54nUTWz","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬-214C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2540","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=1151, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1086","layer":4},{"info":"compute binary expreesion, left_input=1480, 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":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=4144","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=4144, right_input=1011, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=100","layer":3},{"info":"number node, value=4276","layer":4},{"info":"compute unary expreesion, input=4276, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5144","layer":3},{"info":"compute binary expreesion, left_input=100, right_input=5144, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4671","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=4671, 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=10460","layer":1},{"info":"number node, value=2919","layer":4},{"info":"compute unary expreesion, input=2919, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3787","layer":3},{"info":"number node, value=3573","layer":4},{"info":"number node, value=7682","layer":4},{"info":"compute binary expreesion, left_input=3573, right_input=7682, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=30603","layer":3},{"info":"compute binary expreesion, left_input=3787, right_input=30603, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-23316","layer":2},{"info":"number node, value=1382","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=1382, right_input=1029, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=5001","layer":4},{"info":"number node, value=5161","layer":4},{"info":"compute binary expreesion, left_input=5001, right_input=5161, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-756881","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-756881, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-23316, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"compute binary expreesion, left_input=10460, right_input=968, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-8524","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9EC⨐⩸⫘∃⊬47F)⋥≓≎∃⊬5C8∼∃⊬43E⫡⨏∃⊬1030⪛∃⊬3F3≧⫂∧(∥⊫∃⊬10B4)⋷(∥⊫∃⊬B67)⋳⪒(∃⊬DF5⫸⊐∃⊬1E02)⫸⊐∃⊬566⫥∨⫟∃⊬405⨽(∃⊬1389⪄∃⊬1429)=∃⊬-214C","reverse_text":"∃⊬-214C=(∃⊬9EC⨐⩸⫘∃⊬47F)⋥≓≎∃⊬5C8∼∃⊬43E⫡⨏∃⊬1030⪛∃⊬3F3≧⫂∧(∥⊫∃⊬10B4)⋷(∥⊫∃⊬B67)⋳⪒(∃⊬DF5⫸⊐∃⊬1E02)⫸⊐∃⊬566⫥∨⫟∃⊬405⨽(∃⊬1389⪄∃⊬1429)","cot":[{"info":"∃⊬9EC⨐⩸⫘∃⊬47F=NaN","layer":3},{"info":"∃⊬5C8∼∃⊬43E=NaN","layer":3},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":2},{"info":"∃⊬1030⪛∃⊬3F3=∃⊬64","layer":3},{"info":"∥⊫∃⊬10B4=∃⊬1418","layer":3},{"info":"∃⊬64≧⫂∧∃⊬1418=∃⊬123F","layer":2},{"info":"∃⊬43⫡⨏∃⊬123F=∃⊬28DC","layer":1},{"info":"∥⊫∃⊬B67=∃⊬ECB","layer":3},{"info":"∃⊬DF5⫸⊐∃⊬1E02=∃⊬778B","layer":3},{"info":"∃⊬ECB⋳⪒∃⊬778B=∃⊬-5B14","layer":2},{"info":"∃⊬566⫥∨⫟∃⊬405=NaN","layer":3},{"info":"∃⊬1389⪄∃⊬1429=∃⊬-B8C91","layer":3},{"info":"NaN⨽∃⊬-B8C91=NaN","layer":2},{"info":"∃⊬-5B14⫸⊐NaN=∃⊬3C8","layer":1},{"info":"∃⊬28DC⋷∃⊬3C8=∃⊬-214C","layer":0}]}
{"id":809,"expression_no_base_symbol":"(($2263$⪠⩆⊳)⨰($3517$⪨≂$7906$))∑⇟⊟($6355$⪮%⊝$1938$-(⩦⩻⨪$4141$))⨳⩥⨓(⇁⨣⪵$1733$)⪮%⊝($4630$⫥∨⫟$1771$)⋥≓≎$1956$⩚⊴⇥$2351$⫥∨⫟(↣≠⋷$2668$)","expression":"((∃⊬8D7⪠⩆⊳)⨰(∃⊬DBD⪨≂∃⊬1EE2))∑⇟⊟(∃⊬18D3⪮%⊝∃⊬792-(⩦⩻⨪∃⊬102D))⨳⩥⨓(⇁⨣⪵∃⊬6C5)⪮%⊝(∃⊬1216⫥∨⫟∃⊬6EB)⋥≓≎∃⊬7A4⩚⊴⇥∃⊬92F⫥∨⫟(↣≠⋷∃⊬A6C)","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":360,"operation_count":15,"complexity_ratio":24.0,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":2263,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3517,"base":16},"right_expr":{"type":"numeric_atoms","value":7906,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":6355,"base":16},"right_expr":{"type":"numeric_atoms","value":1938,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":4141,"base":16}}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1733,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4630,"base":16},"right_expr":{"type":"numeric_atoms","value":1771,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1956,"base":16},"right_expr":{"type":"numeric_atoms","value":2351,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2668,"base":16}}}}},"used_operators":["nCS4ZIUYfx","U7g4x0WXJJ","eewbuw0ToL","JLbD19bQDL","sdazOOVcIp","rysDP5nf3Z","IWmyXbctLI","2td37pGCOC","Qy55tPpLXF","inkyxCbjAn","KYD54nUTWz","NTOWxs364D","Asc51vEJeQ"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"compute unary expreesion, input=2263, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=3517","layer":4},{"info":"number node, value=7906","layer":4},{"info":"compute binary expreesion, left_input=3517, right_input=7906, 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=-8676","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-8676, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=8686","layer":2},{"info":"number node, value=6355","layer":4},{"info":"number node, value=1938","layer":4},{"info":"compute binary expreesion, left_input=6355, right_input=1938, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=13026","layer":3},{"info":"number node, value=4141","layer":4},{"info":"compute unary expreesion, input=4141, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=4141","layer":3},{"info":"compute binary expreesion, left_input=13026, right_input=4141, op_id = rysDP5nf3Z binary_op_definition= 'None', output=8885","layer":2},{"info":"compute binary expreesion, left_input=8686, right_input=8885, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1733","layer":4},{"info":"compute unary expreesion, input=1733, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4630","layer":4},{"info":"number node, value=1771","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=1771, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=1956","layer":4},{"info":"number node, value=2351","layer":4},{"info":"compute binary expreesion, left_input=1956, right_input=2351, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4428","layer":3},{"info":"number node, value=2668","layer":4},{"info":"compute unary expreesion, input=2668, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4428, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬8D7⪠⩆⊳)⨰(∃⊬DBD⪨≂∃⊬1EE2))∑⇟⊟(∃⊬18D3⪮%⊝∃⊬792-(⩦⩻⨪∃⊬102D))⨳⩥⨓(⇁⨣⪵∃⊬6C5)⪮%⊝(∃⊬1216⫥∨⫟∃⊬6EB)⋥≓≎∃⊬7A4⩚⊴⇥∃⊬92F⫥∨⫟(↣≠⋷∃⊬A6C)=NaN","reverse_text":"NaN=((∃⊬8D7⪠⩆⊳)⨰(∃⊬DBD⪨≂∃⊬1EE2))∑⇟⊟(∃⊬18D3⪮%⊝∃⊬792-(⩦⩻⨪∃⊬102D))⨳⩥⨓(⇁⨣⪵∃⊬6C5)⪮%⊝(∃⊬1216⫥∨⫟∃⊬6EB)⋥≓≎∃⊬7A4⩚⊴⇥∃⊬92F⫥∨⫟(↣≠⋷∃⊬A6C)","cot":[{"info":"∃⊬8D7⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬DBD⪨≂∃⊬1EE2=∃⊬-21E4","layer":3},{"info":"∃⊬0⨰∃⊬-21E4=∃⊬21EE","layer":2},{"info":"∃⊬18D3⪮%⊝∃⊬792=∃⊬32E2","layer":3},{"info":"⩦⩻⨪∃⊬102D=∃⊬102D","layer":3},{"info":"∃⊬32E2-∃⊬102D=∃⊬22B5","layer":2},{"info":"∃⊬21EE∑⇟⊟∃⊬22B5=NaN","layer":1},{"info":"⇁⨣⪵∃⊬6C5=NaN","layer":3},{"info":"∃⊬1216⫥∨⫟∃⊬6EB=NaN","layer":3},{"info":"NaN⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬7A4⩚⊴⇥∃⊬92F=∃⊬-114C","layer":3},{"info":"↣≠⋷∃⊬A6C=NaN","layer":3},{"info":"∃⊬-114C⫥∨⫟NaN=NaN","layer":2},{"info":"NaN⋥≓≎NaN=∃⊬43","layer":1},{"info":"NaN⨳⩥⨓∃⊬43=NaN","layer":0}]}
{"id":810,"expression_no_base_symbol":"($1652$∲⫓$2967$)⨰($1985$+$6975$)⩚⊴⇥(($5271$⊉≛↸$3189$)⫥∨⫟($3943$/$1821$))+($3826$⨽$1752$⫡⨏$3560$≭$2047$⋷$9098$⪘⫢$1437$⊭↱$2693$⨓$2238$)","expression":"(∃⊬674∲⫓∃⊬B97)⨰(∃⊬7C1+∃⊬1B3F)⩚⊴⇥((∃⊬1497⊉≛↸∃⊬C75)⫥∨⫟(∃⊬F67/∃⊬71D))+(∃⊬EF2⨽∃⊬6D8⫡⨏∃⊬DE8≭∃⊬7FF⋷∃⊬238A⪘⫢∃⊬59D⊭↱∃⊬A85⨓∃⊬8BE)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":6281,"operation_count":15,"complexity_ratio":418.73333333333335,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":1652,"base":16},"right_expr":{"type":"numeric_atoms","value":2967,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1985,"base":16},"right_expr":{"type":"numeric_atoms","value":6975,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5271,"base":16},"right_expr":{"type":"numeric_atoms","value":3189,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3943,"base":16},"right_expr":{"type":"numeric_atoms","value":1821,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3826,"base":16},"right_expr":{"type":"numeric_atoms","value":1752,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3560,"base":16},"right_expr":{"type":"numeric_atoms","value":2047,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":9098,"base":16},"right_expr":{"type":"numeric_atoms","value":1437,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2693,"base":16},"right_expr":{"type":"numeric_atoms","value":2238,"base":16}}}}},"used_operators":["W4YGzv6Whe","NTOWxs364D","eewbuw0ToL","i8ToyICDmI","KYD54nUTWz","DZ8iAZOCBD","XhwjNDsVaA","23Mk6UjR3U","QMFrweE19q","8HhzD0ZcuI","rxpJgHHUmx","COABgblf1C","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1652","layer":4},{"info":"number node, value=2967","layer":4},{"info":"compute binary expreesion, left_input=1652, right_input=2967, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1985","layer":4},{"info":"number node, value=6975","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=6975, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8960","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=8960, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-8950","layer":2},{"info":"number node, value=5271","layer":4},{"info":"number node, value=3189","layer":4},{"info":"compute binary expreesion, left_input=5271, right_input=3189, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10542","layer":3},{"info":"number node, value=3943","layer":4},{"info":"number node, value=1821","layer":4},{"info":"compute binary expreesion, left_input=3943, right_input=1821, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=10542, right_input=2, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8950, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=3826","layer":4},{"info":"number node, value=1752","layer":4},{"info":"compute binary expreesion, left_input=3826, right_input=1752, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-43918770","layer":3},{"info":"number node, value=3560","layer":4},{"info":"number node, value=2047","layer":4},{"info":"compute binary expreesion, left_input=3560, right_input=2047, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-43918770, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=9098","layer":4},{"info":"number node, value=1437","layer":4},{"info":"compute binary expreesion, left_input=9098, right_input=1437, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=18072","layer":3},{"info":"number node, value=2693","layer":4},{"info":"number node, value=2238","layer":4},{"info":"compute binary expreesion, left_input=2693, right_input=2238, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2241","layer":3},{"info":"compute binary expreesion, left_input=18072, right_input=-2241, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-40621","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-40621, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , 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":"(∃⊬674∲⫓∃⊬B97)⨰(∃⊬7C1+∃⊬1B3F)⩚⊴⇥((∃⊬1497⊉≛↸∃⊬C75)⫥∨⫟(∃⊬F67/∃⊬71D))+(∃⊬EF2⨽∃⊬6D8⫡⨏∃⊬DE8≭∃⊬7FF⋷∃⊬238A⪘⫢∃⊬59D⊭↱∃⊬A85⨓∃⊬8BE)=NaN","reverse_text":"NaN=(∃⊬674∲⫓∃⊬B97)⨰(∃⊬7C1+∃⊬1B3F)⩚⊴⇥((∃⊬1497⊉≛↸∃⊬C75)⫥∨⫟(∃⊬F67/∃⊬71D))+(∃⊬EF2⨽∃⊬6D8⫡⨏∃⊬DE8≭∃⊬7FF⋷∃⊬238A⪘⫢∃⊬59D⊭↱∃⊬A85⨓∃⊬8BE)","cot":[{"info":"∃⊬674∲⫓∃⊬B97=∃⊬0","layer":3},{"info":"∃⊬7C1+∃⊬1B3F=∃⊬2300","layer":3},{"info":"∃⊬0⨰∃⊬2300=∃⊬-22F6","layer":2},{"info":"∃⊬1497⊉≛↸∃⊬C75=∃⊬292E","layer":3},{"info":"∃⊬F67/∃⊬71D=∃⊬2","layer":3},{"info":"∃⊬292E⫥∨⫟∃⊬2=NaN","layer":2},{"info":"∃⊬-22F6⩚⊴⇥NaN=NaN","layer":1},{"info":"∃⊬EF2⨽∃⊬6D8=∃⊬-29E25B2","layer":3},{"info":"∃⊬DE8≭∃⊬7FF=NaN","layer":3},{"info":"∃⊬-29E25B2⫡⨏NaN=NaN","layer":2},{"info":"∃⊬238A⪘⫢∃⊬59D=∃⊬4698","layer":3},{"info":"∃⊬A85⨓∃⊬8BE=∃⊬-8C1","layer":3},{"info":"∃⊬4698⊭↱∃⊬-8C1=∃⊬-9EAD","layer":2},{"info":"NaN⋷∃⊬-9EAD=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":811,"expression_no_base_symbol":"⊙↵-(⋗⩬⋾($3232$⋥≓≎$4304$-($2059$⫌⩹⨱)))","expression":"⊙↵-(⋗⩬⋾(∃⊬CA0⋥≓≎∃⊬10D0-(∃⊬80B⫌⩹⨱)))","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":391,"operation_count":5,"complexity_ratio":78.2,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3232,"base":16},"right_expr":{"type":"numeric_atoms","value":4304,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2059,"base":16}}}}},"used_operators":["oWn0xqSxBt","DpFCA1CohY","rysDP5nf3Z","Qy55tPpLXF","EBcxylXtPf"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3232","layer":4},{"info":"number node, value=4304","layer":4},{"info":"compute binary expreesion, left_input=3232, right_input=4304, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5409","layer":3},{"info":"number node, value=2059","layer":4},{"info":"compute unary expreesion, input=2059, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5519","layer":3},{"info":"compute binary expreesion, left_input=5409, right_input=5519, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-110","layer":2},{"info":"compute unary expreesion, input=-110, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=330","layer":1},{"info":"compute unary expreesion, input=330, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(⋗⩬⋾(∃⊬CA0⋥≓≎∃⊬10D0-(∃⊬80B⫌⩹⨱)))=∃⊬0","reverse_text":"∃⊬0=⊙↵-(⋗⩬⋾(∃⊬CA0⋥≓≎∃⊬10D0-(∃⊬80B⫌⩹⨱)))","cot":[{"info":"∃⊬CA0⋥≓≎∃⊬10D0=∃⊬1521","layer":3},{"info":"∃⊬80B⫌⩹⨱=∃⊬158F","layer":3},{"info":"∃⊬1521-∃⊬158F=∃⊬-6E","layer":2},{"info":"⋗⩬⋾∃⊬-6E=∃⊬14A","layer":1},{"info":"⊙↵-∃⊬14A=∃⊬0","layer":0}]}
{"id":812,"expression_no_base_symbol":"((↔($4922$⊭↱$2003$))⫌⩹⨱)⋫","expression":"((↔(∃⊬133A⊭↱∃⊬7D3))⫌⩹⨱)⋫","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":1168,"operation_count":4,"complexity_ratio":292.0,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4922,"base":16},"right_expr":{"type":"numeric_atoms","value":2003,"base":16}}}}},"used_operators":["JL8yIekQnl","EBcxylXtPf","ruOEQAzv1W","COABgblf1C"],"dependent_operators":["tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬46D","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4922","layer":4},{"info":"number node, value=2003","layer":4},{"info":"compute binary expreesion, left_input=4922, right_input=2003, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-5833","layer":3},{"info":"compute unary expreesion, input=-5833, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=1133","layer":1},{"info":"compute unary expreesion, input=1133, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1133","layer":0}],"base":16,"result_base":16,"text":"((↔(∃⊬133A⊭↱∃⊬7D3))⫌⩹⨱)⋫=∃⊬46D","reverse_text":"∃⊬46D=((↔(∃⊬133A⊭↱∃⊬7D3))⫌⩹⨱)⋫","cot":[{"info":"∃⊬133A⊭↱∃⊬7D3=∃⊬-16C9","layer":3},{"info":"↔∃⊬-16C9=∃⊬-86","layer":2},{"info":"∃⊬-86⫌⩹⨱=∃⊬46D","layer":1},{"info":"∃⊬46D⋫=∃⊬46D","layer":0}]}
{"id":813,"expression_no_base_symbol":"((⨰⫟⨤$3027$⪮%⊝$1647$)⪘⫢($2467$⩷∴$8758$⪒$3108$⨟⋌⩍$4157$))⨪↰⇹(-$3827$⪮%⊝$1276$*($2848$⪨≂$3468$))","expression":"((⨰⫟⨤∃⊬BD3⪮%⊝∃⊬66F)⪘⫢(∃⊬9A3⩷∴∃⊬2236⪒∃⊬C24⨟⋌⩍∃⊬103D))⨪↰⇹(-∃⊬EF3⪮%⊝∃⊬4FC*(∃⊬B20⪨≂∃⊬D8C))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":25822,"operation_count":11,"complexity_ratio":2347.4545454545455,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3027,"base":16},"right_expr":{"type":"numeric_atoms","value":1647,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2467,"base":16},"right_expr":{"type":"numeric_atoms","value":8758,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3108,"base":16},"right_expr":{"type":"numeric_atoms","value":4157,"base":16}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3827,"base":16},"right_expr":{"type":"numeric_atoms","value":1276,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2848,"base":16},"right_expr":{"type":"numeric_atoms","value":3468,"base":16}}}}},"used_operators":["tmPS8pqC7x","oacrs7FA3X","Tw270M8GLb","IWmyXbctLI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","t8gj7n24qd","9HNa5Wba9A","sdazOOVcIp"],"dependent_operators":["rJVOvQCfKK","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3027","layer":4},{"info":"number node, value=1647","layer":4},{"info":"compute binary expreesion, left_input=3027, right_input=1647, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=6370","layer":3},{"info":"compute unary expreesion, input=6370, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"number node, value=2467","layer":4},{"info":"number node, value=8758","layer":4},{"info":"compute binary expreesion, left_input=2467, right_input=8758, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-12614","layer":3},{"info":"number node, value=3108","layer":4},{"info":"number node, value=4157","layer":4},{"info":"compute binary expreesion, left_input=3108, right_input=4157, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12614, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=3827","layer":4},{"info":"number node, value=1276","layer":4},{"info":"compute binary expreesion, left_input=3827, right_input=1276, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7970","layer":3},{"info":"number node, value=2848","layer":4},{"info":"number node, value=3468","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=3468, 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=-1138","layer":3},{"info":"compute binary expreesion, left_input=7970, right_input=-1138, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-9069860","layer":2},{"info":"compute unary expreesion, input=-9069860, op_id = t8gj7n24qd, unary_op_definition = 'None', output=9069860","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=9069860, 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":"((⨰⫟⨤∃⊬BD3⪮%⊝∃⊬66F)⪘⫢(∃⊬9A3⩷∴∃⊬2236⪒∃⊬C24⨟⋌⩍∃⊬103D))⨪↰⇹(-∃⊬EF3⪮%⊝∃⊬4FC*(∃⊬B20⪨≂∃⊬D8C))=NaN","reverse_text":"NaN=((⨰⫟⨤∃⊬BD3⪮%⊝∃⊬66F)⪘⫢(∃⊬9A3⩷∴∃⊬2236⪒∃⊬C24⨟⋌⩍∃⊬103D))⨪↰⇹(-∃⊬EF3⪮%⊝∃⊬4FC*(∃⊬B20⪨≂∃⊬D8C))","cot":[{"info":"∃⊬BD3⪮%⊝∃⊬66F=∃⊬18E2","layer":3},{"info":"⨰⫟⨤∃⊬18E2=NaN","layer":2},{"info":"∃⊬9A3⩷∴∃⊬2236=∃⊬-3146","layer":3},{"info":"∃⊬C24⨟⋌⩍∃⊬103D=NaN","layer":3},{"info":"∃⊬-3146⪒NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"∃⊬EF3⪮%⊝∃⊬4FC=∃⊬1F22","layer":3},{"info":"∃⊬B20⪨≂∃⊬D8C=∃⊬-472","layer":3},{"info":"∃⊬1F22*∃⊬-472=∃⊬-8A6524","layer":2},{"info":"-∃⊬-8A6524=∃⊬8A6524","layer":1},{"info":"NaN⨪↰⇹∃⊬8A6524=NaN","layer":0}]}
{"id":814,"expression_no_base_symbol":"≦∁(($1617$+$5509$)↛⩡⫤)⪒($3718$⫡⨏$1419$)⨓($7846$⊭∹↮)","expression":"≦∁((∃⊬651+∃⊬1585)↛⩡⫤)⪒(∃⊬E86⫡⨏∃⊬58B)⨓(∃⊬1EA6⊭∹↮)","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":37228,"operation_count":7,"complexity_ratio":5318.285714285715,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1617,"base":16},"right_expr":{"type":"numeric_atoms","value":5509,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3718,"base":16},"right_expr":{"type":"numeric_atoms","value":1419,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":7846,"base":16}}}}},"used_operators":["9ICcGScMcE","f6k1SAg4EE","FU0Cs4j7VP","W4YGzv6Whe","3ViojmjbAp","QMFrweE19q","xNBdhnnwKq"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬109942","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1617","layer":4},{"info":"number node, value=5509","layer":4},{"info":"compute binary expreesion, left_input=1617, right_input=5509, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7126","layer":3},{"info":"compute unary expreesion, input=7126, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1072115","layer":2},{"info":"number node, value=3718","layer":4},{"info":"number node, value=1419","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=1419, 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=22211","layer":3},{"info":"number node, value=7846","layer":4},{"info":"compute unary expreesion, input=7846, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=15692","layer":3},{"info":"compute binary expreesion, left_input=22211, right_input=15692, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-15695","layer":2},{"info":"compute binary expreesion, left_input=-1072115, right_input=-15695, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1087810","layer":1},{"info":"compute unary expreesion, input=1087810, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1087810","layer":0}],"base":16,"result_base":16,"text":"≦∁((∃⊬651+∃⊬1585)↛⩡⫤)⪒(∃⊬E86⫡⨏∃⊬58B)⨓(∃⊬1EA6⊭∹↮)=∃⊬109942","reverse_text":"∃⊬109942=≦∁((∃⊬651+∃⊬1585)↛⩡⫤)⪒(∃⊬E86⫡⨏∃⊬58B)⨓(∃⊬1EA6⊭∹↮)","cot":[{"info":"∃⊬651+∃⊬1585=∃⊬1BD6","layer":3},{"info":"∃⊬1BD6↛⩡⫤=∃⊬-105BF3","layer":2},{"info":"∃⊬E86⫡⨏∃⊬58B=∃⊬56C3","layer":3},{"info":"∃⊬1EA6⊭∹↮=∃⊬3D4C","layer":3},{"info":"∃⊬56C3⨓∃⊬3D4C=∃⊬-3D4F","layer":2},{"info":"∃⊬-105BF3⪒∃⊬-3D4F=∃⊬109942","layer":1},{"info":"≦∁∃⊬109942=∃⊬109942","layer":0}]}
{"id":815,"expression_no_base_symbol":"($1344$⨰$3805$⋝⋈⪟($4411$⨎$4172$)⫡⨏$1480$⋳⪒$1192$⨎(⩦⩻⨪$2995$))≎⊠⪸(⫓⪴(⨑⩽⪐($1135$⋷$5006$)))","expression":"(∃⊬540⨰∃⊬EDD⋝⋈⪟(∃⊬113B⨎∃⊬104C)⫡⨏∃⊬5C8⋳⪒∃⊬4A8⨎(⩦⩻⨪∃⊬BB3))≎⊠⪸(⫓⪴(⨑⩽⪐(∃⊬46F⋷∃⊬138E)))","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":8910,"operation_count":11,"complexity_ratio":810.0,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1344,"base":16},"right_expr":{"type":"numeric_atoms","value":3805,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4411,"base":16},"right_expr":{"type":"numeric_atoms","value":4172,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1480,"base":16},"right_expr":{"type":"numeric_atoms","value":1192,"base":16}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"numeric_atoms","value":2995,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1135,"base":16},"right_expr":{"type":"numeric_atoms","value":5006,"base":16}}}}},"used_operators":["bJkvcejdHO","QMFrweE19q","2DDjHMKMc0","eewbuw0ToL","rJVOvQCfKK","12rbrZMWeM","2td37pGCOC","eLxqMNBOBk","AF7qkfDlqP","23Mk6UjR3U"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬15AA3E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1344","layer":4},{"info":"number node, value=3805","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=3805, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2451","layer":3},{"info":"number node, value=4411","layer":4},{"info":"number node, value=4172","layer":4},{"info":"compute binary expreesion, left_input=4411, right_input=4172, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4172","layer":3},{"info":"compute binary expreesion, left_input=-2451, right_input=4172, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-2451","layer":2},{"info":"number node, value=1480","layer":4},{"info":"number node, value=1192","layer":4},{"info":"compute binary expreesion, left_input=1480, right_input=1192, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1481","layer":3},{"info":"number node, value=2995","layer":4},{"info":"compute unary expreesion, input=2995, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=2995","layer":3},{"info":"compute binary expreesion, left_input=1481, right_input=2995, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2995","layer":2},{"info":"compute binary expreesion, left_input=-2451, right_input=2995, 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=-5482","layer":1},{"info":"number node, value=1135","layer":4},{"info":"number node, value=5006","layer":4},{"info":"compute binary expreesion, left_input=1135, right_input=5006, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=8877","layer":3},{"info":"compute unary expreesion, input=8877, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-8604","layer":2},{"info":"compute unary expreesion, input=-8604, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=74028816","layer":1},{"info":"compute binary expreesion, left_input=-5482, right_input=74028816, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1419838","layer":0}],"base":16,"result_base":16,"text":"(∃⊬540⨰∃⊬EDD⋝⋈⪟(∃⊬113B⨎∃⊬104C)⫡⨏∃⊬5C8⋳⪒∃⊬4A8⨎(⩦⩻⨪∃⊬BB3))≎⊠⪸(⫓⪴(⨑⩽⪐(∃⊬46F⋷∃⊬138E)))=∃⊬15AA3E","reverse_text":"∃⊬15AA3E=(∃⊬540⨰∃⊬EDD⋝⋈⪟(∃⊬113B⨎∃⊬104C)⫡⨏∃⊬5C8⋳⪒∃⊬4A8⨎(⩦⩻⨪∃⊬BB3))≎⊠⪸(⫓⪴(⨑⩽⪐(∃⊬46F⋷∃⊬138E)))","cot":[{"info":"∃⊬540⨰∃⊬EDD=∃⊬-993","layer":3},{"info":"∃⊬113B⨎∃⊬104C=∃⊬104C","layer":3},{"info":"∃⊬-993⋝⋈⪟∃⊬104C=∃⊬-993","layer":2},{"info":"∃⊬5C8⋳⪒∃⊬4A8=∃⊬5C9","layer":3},{"info":"⩦⩻⨪∃⊬BB3=∃⊬BB3","layer":3},{"info":"∃⊬5C9⨎∃⊬BB3=∃⊬BB3","layer":2},{"info":"∃⊬-993⫡⨏∃⊬BB3=∃⊬-156A","layer":1},{"info":"∃⊬46F⋷∃⊬138E=∃⊬22AD","layer":3},{"info":"⨑⩽⪐∃⊬22AD=∃⊬-219C","layer":2},{"info":"⫓⪴∃⊬-219C=∃⊬4699710","layer":1},{"info":"∃⊬-156A≎⊠⪸∃⊬4699710=∃⊬15AA3E","layer":0}]}
{"id":816,"expression_no_base_symbol":"(↽≂($4285$⨳⩥⨓$3780$)⫥∨⫟$1349$≭$2495$)↬(⫓⪴(($1191$↬$3416$)∧))","expression":"(↽≂(∃⊬10BD⨳⩥⨓∃⊬EC4)⫥∨⫟∃⊬545≭∃⊬9BF)↬(⫓⪴((∃⊬4A7↬∃⊬D58)∧))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":172,"operation_count":8,"complexity_ratio":21.5,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4285,"base":16},"right_expr":{"type":"numeric_atoms","value":3780,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1349,"base":16},"right_expr":{"type":"numeric_atoms","value":2495,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1191,"base":16},"right_expr":{"type":"numeric_atoms","value":3416,"base":16}}}}},"used_operators":["B5M0gjZbta","u6S6b8DprG","KYD54nUTWz","nCS4ZIUYfx","rxpJgHHUmx","eLxqMNBOBk","z63VuFQld9"],"dependent_operators":["rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4285","layer":4},{"info":"number node, value=3780","layer":4},{"info":"compute binary expreesion, left_input=4285, right_input=3780, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-505","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2495","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2495, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-505, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=1191","layer":4},{"info":"number node, value=3416","layer":4},{"info":"compute binary expreesion, left_input=1191, right_input=3416, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↽≂(∃⊬10BD⨳⩥⨓∃⊬EC4)⫥∨⫟∃⊬545≭∃⊬9BF)↬(⫓⪴((∃⊬4A7↬∃⊬D58)∧))=NaN","reverse_text":"NaN=(↽≂(∃⊬10BD⨳⩥⨓∃⊬EC4)⫥∨⫟∃⊬545≭∃⊬9BF)↬(⫓⪴((∃⊬4A7↬∃⊬D58)∧))","cot":[{"info":"∃⊬10BD⨳⩥⨓∃⊬EC4=∃⊬-1F9","layer":3},{"info":"∃⊬545≭∃⊬9BF=NaN","layer":3},{"info":"∃⊬-1F9⫥∨⫟NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"∃⊬4A7↬∃⊬D58=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN↬NaN=NaN","layer":0}]}
{"id":817,"expression_no_base_symbol":"(⪝⪂⫅(↣≠⋷(≤/$7443$)))⪄(($4947$⨽$4052$)+⇶⊼$1050$⨰$1585$)⨓($1918$⪢$5692$⨳⩥⨓$3481$⋳⪒$2958$)","expression":"(⪝⪂⫅(↣≠⋷(≤/∃⊬1D13)))⪄((∃⊬1353⨽∃⊬FD4)+⇶⊼∃⊬41A⨰∃⊬631)⨓(∃⊬77E⪢∃⊬163C⨳⩥⨓∃⊬D99⋳⪒∃⊬B8E)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":10701,"operation_count":11,"complexity_ratio":972.8181818181819,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":7443,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4947,"base":16},"right_expr":{"type":"numeric_atoms","value":4052,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":1585,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1918,"base":16},"right_expr":{"type":"numeric_atoms","value":5692,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3481,"base":16},"right_expr":{"type":"numeric_atoms","value":2958,"base":16}}}}},"used_operators":["SUmda5xLS4","XTarYq4gQB","Asc51vEJeQ","eLAdDNolq6","3ViojmjbAp","TpPTUOHfaN","8HhzD0ZcuI","eewbuw0ToL","nCS4ZIUYfx","dWAJyo7jo9","12rbrZMWeM"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7443","layer":4},{"info":"compute unary expreesion, input=7443, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-6959","layer":3},{"info":"compute unary expreesion, input=-6959, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":1},{"info":"number node, value=4947","layer":4},{"info":"number node, value=4052","layer":4},{"info":"compute binary expreesion, left_input=4947, right_input=4052, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-73429269","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1585","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1585, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-525","layer":3},{"info":"compute binary expreesion, left_input=-73429269, right_input=-525, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1918","layer":4},{"info":"number node, value=5692","layer":4},{"info":"compute binary expreesion, left_input=1918, right_input=5692, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=3481","layer":4},{"info":"number node, value=2958","layer":4},{"info":"compute binary expreesion, left_input=3481, right_input=2958, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3717","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3717, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"(⪝⪂⫅(↣≠⋷(≤/∃⊬1D13)))⪄((∃⊬1353⨽∃⊬FD4)+⇶⊼∃⊬41A⨰∃⊬631)⨓(∃⊬77E⪢∃⊬163C⨳⩥⨓∃⊬D99⋳⪒∃⊬B8E)=∃⊬F8B","reverse_text":"∃⊬F8B=(⪝⪂⫅(↣≠⋷(≤/∃⊬1D13)))⪄((∃⊬1353⨽∃⊬FD4)+⇶⊼∃⊬41A⨰∃⊬631)⨓(∃⊬77E⪢∃⊬163C⨳⩥⨓∃⊬D99⋳⪒∃⊬B8E)","cot":[{"info":"≤/∃⊬1D13=∃⊬-1B2F","layer":3},{"info":"↣≠⋷∃⊬-1B2F=NaN","layer":2},{"info":"⪝⪂⫅NaN=NaN","layer":1},{"info":"∃⊬1353⨽∃⊬FD4=∃⊬-4607115","layer":3},{"info":"∃⊬41A⨰∃⊬631=∃⊬-20D","layer":3},{"info":"∃⊬-4607115+⇶⊼∃⊬-20D=NaN","layer":2},{"info":"∃⊬77E⪢∃⊬163C=NaN","layer":3},{"info":"∃⊬D99⋳⪒∃⊬B8E=∃⊬E85","layer":3},{"info":"NaN⨳⩥⨓∃⊬E85=NaN","layer":2},{"info":"NaN⨓NaN=NaN","layer":1},{"info":"NaN⪄NaN=∃⊬F8B","layer":0}]}
{"id":818,"expression_no_base_symbol":"($1044$⋳⪒$1173$⋳⪒($1757$-$1106$))⨪↰⇹($1341$⊴$4005$⫥∨⫟($3359$/$1711$))⋓((⫛⫱⨽$2747$)≎⊠⪸($5415$⫸⊐$4160$)⪒($2094$⊴$4898$⪨≂$3505$⨎$1834$))","expression":"(∃⊬414⋳⪒∃⊬495⋳⪒(∃⊬6DD-∃⊬452))⨪↰⇹(∃⊬53D⊴∃⊬FA5⫥∨⫟(∃⊬D1F/∃⊬6AF))⋓((⫛⫱⨽∃⊬ABB)≎⊠⪸(∃⊬1527⫸⊐∃⊬1040)⪒(∃⊬82E⊴∃⊬1322⪨≂∃⊬DB1⨎∃⊬72A))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":10883,"operation_count":15,"complexity_ratio":725.5333333333333,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1044,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1757,"base":16},"right_expr":{"type":"numeric_atoms","value":1106,"base":16}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1341,"base":16},"right_expr":{"type":"numeric_atoms","value":4005,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3359,"base":16},"right_expr":{"type":"numeric_atoms","value":1711,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":2747,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":5415,"base":16},"right_expr":{"type":"numeric_atoms","value":4160,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2094,"base":16},"right_expr":{"type":"numeric_atoms","value":4898,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3505,"base":16},"right_expr":{"type":"numeric_atoms","value":1834,"base":16}}}}},"used_operators":["T2fj7uvVaJ","tmPS8pqC7x","12rbrZMWeM","rysDP5nf3Z","KYD54nUTWz","Nsiff2A1zJ","XhwjNDsVaA","f6k1SAg4EE","bJkvcejdHO","DlLNRPXxWL","mqXw5SEYmG","sdazOOVcIp","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1044","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=1044, right_input=1173, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=628","layer":3},{"info":"number node, value=1757","layer":4},{"info":"number node, value=1106","layer":4},{"info":"compute binary expreesion, left_input=1757, right_input=1106, op_id = rysDP5nf3Z binary_op_definition= 'None', output=651","layer":3},{"info":"compute binary expreesion, left_input=628, right_input=651, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=318","layer":2},{"info":"number node, value=1341","layer":4},{"info":"number node, value=4005","layer":4},{"info":"compute binary expreesion, left_input=1341, right_input=4005, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3359","layer":4},{"info":"number node, value=1711","layer":4},{"info":"compute binary expreesion, left_input=3359, right_input=1711, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=318, 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=318","layer":1},{"info":"number node, value=2747","layer":4},{"info":"compute unary expreesion, input=2747, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=5415","layer":4},{"info":"number node, value=4160","layer":4},{"info":"compute binary expreesion, left_input=5415, right_input=4160, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16515","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=16515, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=-473","layer":2},{"info":"number node, value=2094","layer":4},{"info":"number node, value=4898","layer":4},{"info":"compute binary expreesion, left_input=2094, right_input=4898, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=3505","layer":4},{"info":"number node, value=1834","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=1834, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1834","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1834, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-473, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=318, 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":"(∃⊬414⋳⪒∃⊬495⋳⪒(∃⊬6DD-∃⊬452))⨪↰⇹(∃⊬53D⊴∃⊬FA5⫥∨⫟(∃⊬D1F/∃⊬6AF))⋓((⫛⫱⨽∃⊬ABB)≎⊠⪸(∃⊬1527⫸⊐∃⊬1040)⪒(∃⊬82E⊴∃⊬1322⪨≂∃⊬DB1⨎∃⊬72A))=NaN","reverse_text":"NaN=(∃⊬414⋳⪒∃⊬495⋳⪒(∃⊬6DD-∃⊬452))⨪↰⇹(∃⊬53D⊴∃⊬FA5⫥∨⫟(∃⊬D1F/∃⊬6AF))⋓((⫛⫱⨽∃⊬ABB)≎⊠⪸(∃⊬1527⫸⊐∃⊬1040)⪒(∃⊬82E⊴∃⊬1322⪨≂∃⊬DB1⨎∃⊬72A))","cot":[{"info":"∃⊬414⋳⪒∃⊬495=∃⊬274","layer":3},{"info":"∃⊬6DD-∃⊬452=∃⊬28B","layer":3},{"info":"∃⊬274⋳⪒∃⊬28B=∃⊬13E","layer":2},{"info":"∃⊬53D⊴∃⊬FA5=NaN","layer":3},{"info":"∃⊬D1F/∃⊬6AF=∃⊬1","layer":3},{"info":"NaN⫥∨⫟∃⊬1=NaN","layer":2},{"info":"∃⊬13E⨪↰⇹NaN=∃⊬13E","layer":1},{"info":"⫛⫱⨽∃⊬ABB=∃⊬0","layer":3},{"info":"∃⊬1527⫸⊐∃⊬1040=∃⊬4083","layer":3},{"info":"∃⊬0≎⊠⪸∃⊬4083=∃⊬-1D9","layer":2},{"info":"∃⊬82E⊴∃⊬1322=NaN","layer":3},{"info":"∃⊬DB1⨎∃⊬72A=∃⊬72A","layer":3},{"info":"NaN⪨≂∃⊬72A=NaN","layer":2},{"info":"∃⊬-1D9⪒NaN=NaN","layer":1},{"info":"∃⊬13E⋓NaN=NaN","layer":0}]}
{"id":819,"expression_no_base_symbol":"((($2540$⪨≂$2620$)⋥≓≎$5649$⋝⋈⪟$3134$)⩤)≹⇙⪍(⨑⩽⪐((↩$4360$)⊉≛↸($9576$⇼⇔∾$2996$)))","expression":"(((∃⊬9EC⪨≂∃⊬A3C)⋥≓≎∃⊬1611⋝⋈⪟∃⊬C3E)⩤)≹⇙⪍(⨑⩽⪐((↩∃⊬1108)⊉≛↸(∃⊬2568⇼⇔∾∃⊬BB4)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":40,"operation_count":9,"complexity_ratio":4.444444444444445,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2540,"base":16},"right_expr":{"type":"numeric_atoms","value":2620,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5649,"base":16},"right_expr":{"type":"numeric_atoms","value":3134,"base":16}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4360,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":9576,"base":16},"right_expr":{"type":"numeric_atoms","value":2996,"base":16}}}}},"used_operators":["AHs5Up7iyr","Z2TMIBDE3Q","Qy55tPpLXF","sdazOOVcIp","2DDjHMKMc0","AF7qkfDlqP","DZ8iAZOCBD","jLgFTUHLKL","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2540","layer":4},{"info":"number node, value=2620","layer":4},{"info":"compute binary expreesion, left_input=2540, right_input=2620, 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=-58","layer":3},{"info":"number node, value=5649","layer":4},{"info":"number node, value=3134","layer":4},{"info":"compute binary expreesion, left_input=5649, right_input=3134, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5649","layer":3},{"info":"compute binary expreesion, left_input=-58, right_input=5649, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=11389","layer":2},{"info":"compute unary expreesion, input=11389, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-11389","layer":1},{"info":"number node, value=4360","layer":4},{"info":"compute unary expreesion, input=4360, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-32100","layer":3},{"info":"number node, value=9576","layer":4},{"info":"number node, value=2996","layer":4},{"info":"compute binary expreesion, left_input=9576, right_input=2996, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-6580","layer":3},{"info":"compute binary expreesion, left_input=-32100, right_input=-6580, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6580","layer":2},{"info":"compute unary expreesion, input=6580, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6307","layer":1},{"info":"compute binary expreesion, left_input=-11389, right_input=-6307, 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":"(((∃⊬9EC⪨≂∃⊬A3C)⋥≓≎∃⊬1611⋝⋈⪟∃⊬C3E)⩤)≹⇙⪍(⨑⩽⪐((↩∃⊬1108)⊉≛↸(∃⊬2568⇼⇔∾∃⊬BB4)))=NaN","reverse_text":"NaN=(((∃⊬9EC⪨≂∃⊬A3C)⋥≓≎∃⊬1611⋝⋈⪟∃⊬C3E)⩤)≹⇙⪍(⨑⩽⪐((↩∃⊬1108)⊉≛↸(∃⊬2568⇼⇔∾∃⊬BB4)))","cot":[{"info":"∃⊬9EC⪨≂∃⊬A3C=∃⊬-3A","layer":3},{"info":"∃⊬1611⋝⋈⪟∃⊬C3E=∃⊬1611","layer":3},{"info":"∃⊬-3A⋥≓≎∃⊬1611=∃⊬2C7D","layer":2},{"info":"∃⊬2C7D⩤=∃⊬-2C7D","layer":1},{"info":"↩∃⊬1108=∃⊬-7D64","layer":3},{"info":"∃⊬2568⇼⇔∾∃⊬BB4=∃⊬-19B4","layer":3},{"info":"∃⊬-7D64⊉≛↸∃⊬-19B4=∃⊬19B4","layer":2},{"info":"⨑⩽⪐∃⊬19B4=∃⊬-18A3","layer":1},{"info":"∃⊬-2C7D≹⇙⪍∃⊬-18A3=NaN","layer":0}]}
{"id":820,"expression_no_base_symbol":"⊙↵-((($5870$⫥∨⫟$2012$)⋝⋈⪟($1015$⨰$3047$))∑⇟⊟(($1478$⩤)+⇶⊼(∥⊫$3863$)))","expression":"⊙↵-(((∃⊬16EE⫥∨⫟∃⊬7DC)⋝⋈⪟(∃⊬3F7⨰∃⊬BE7))∑⇟⊟((∃⊬5C6⩤)+⇶⊼(∥⊫∃⊬F17)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":197,"operation_count":8,"complexity_ratio":24.625,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5870,"base":16},"right_expr":{"type":"numeric_atoms","value":2012,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1015,"base":16},"right_expr":{"type":"numeric_atoms","value":3047,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":1478,"base":16}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3863,"base":16}}}}},"used_operators":["oWn0xqSxBt","U7g4x0WXJJ","2DDjHMKMc0","KYD54nUTWz","eewbuw0ToL","TpPTUOHfaN","Z2TMIBDE3Q","P8v4zCKN1o"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5870","layer":4},{"info":"number node, value=2012","layer":4},{"info":"compute binary expreesion, left_input=5870, right_input=2012, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1015","layer":4},{"info":"number node, value=3047","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=3047, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2022","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2022, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1478","layer":4},{"info":"compute unary expreesion, input=1478, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1478","layer":3},{"info":"number node, value=3863","layer":4},{"info":"compute unary expreesion, input=3863, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4731","layer":3},{"info":"compute binary expreesion, left_input=-1478, right_input=4731, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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 = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-(((∃⊬16EE⫥∨⫟∃⊬7DC)⋝⋈⪟(∃⊬3F7⨰∃⊬BE7))∑⇟⊟((∃⊬5C6⩤)+⇶⊼(∥⊫∃⊬F17)))=NaN","reverse_text":"NaN=⊙↵-(((∃⊬16EE⫥∨⫟∃⊬7DC)⋝⋈⪟(∃⊬3F7⨰∃⊬BE7))∑⇟⊟((∃⊬5C6⩤)+⇶⊼(∥⊫∃⊬F17)))","cot":[{"info":"∃⊬16EE⫥∨⫟∃⊬7DC=NaN","layer":3},{"info":"∃⊬3F7⨰∃⊬BE7=∃⊬-7E6","layer":3},{"info":"NaN⋝⋈⪟∃⊬-7E6=NaN","layer":2},{"info":"∃⊬5C6⩤=∃⊬-5C6","layer":3},{"info":"∥⊫∃⊬F17=∃⊬127B","layer":3},{"info":"∃⊬-5C6+⇶⊼∃⊬127B=NaN","layer":2},{"info":"NaN∑⇟⊟NaN=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":821,"expression_no_base_symbol":"((($8107$⋫)⋓($1049$⨸⪁$2258$))∧)⊘","expression":"(((∃⊬1FAB⋫)⋓(∃⊬419⨸⪁∃⊬8D2))∧)⊘","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":8150,"operation_count":5,"complexity_ratio":1630.0,"tree":{"type":"unary","operator":"⊘","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":8107,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":2258,"base":16}}}}},"used_operators":["gu96TGCTMs","z63VuFQld9","T2fj7uvVaJ","JL8yIekQnl","g55IO6H4Gj"],"dependent_operators":["XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","tmPS8pqC7x","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8107","layer":4},{"info":"compute unary expreesion, input=8107, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=8107","layer":3},{"info":"number node, value=1049","layer":4},{"info":"number node, value=2258","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=2258, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=6614","layer":3},{"info":"compute binary expreesion, left_input=8107, right_input=6614, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬1FAB⋫)⋓(∃⊬419⨸⪁∃⊬8D2))∧)⊘=∃⊬0","reverse_text":"∃⊬0=(((∃⊬1FAB⋫)⋓(∃⊬419⨸⪁∃⊬8D2))∧)⊘","cot":[{"info":"∃⊬1FAB⋫=∃⊬1FAB","layer":3},{"info":"∃⊬419⨸⪁∃⊬8D2=∃⊬19D6","layer":3},{"info":"∃⊬1FAB⋓∃⊬19D6=∃⊬0","layer":2},{"info":"∃⊬0∧=∃⊬0","layer":1},{"info":"∃⊬0⊘=∃⊬0","layer":0}]}
{"id":822,"expression_no_base_symbol":"($3446$⋝⋈⪟$1825$⇼⇔∾$1543$↙$3236$)⇷($4450$⪛$1039$⩨($1492$⫌⩹⨱))+($2938$⫌⩹⨱)⪮%⊝($3780$⨪↰⇹$1282$)+⇶⊼($2856$+$1368$)≧⫂∧($2699$⊉≛↸$1256$)","expression":"(∃⊬D76⋝⋈⪟∃⊬721⇼⇔∾∃⊬607↙∃⊬CA4)⇷(∃⊬1162⪛∃⊬40F⩨(∃⊬5D4⫌⩹⨱))+(∃⊬B7A⫌⩹⨱)⪮%⊝(∃⊬EC4⨪↰⇹∃⊬502)+⇶⊼(∃⊬B28+∃⊬558)≧⫂∧(∃⊬A8B⊉≛↸∃⊬4E8)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":191239,"operation_count":15,"complexity_ratio":12749.266666666666,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3446,"base":16},"right_expr":{"type":"numeric_atoms","value":1825,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1543,"base":16},"right_expr":{"type":"numeric_atoms","value":3236,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4450,"base":16},"right_expr":{"type":"numeric_atoms","value":1039,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1492,"base":16}}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":2938,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3780,"base":16},"right_expr":{"type":"numeric_atoms","value":1282,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2856,"base":16},"right_expr":{"type":"numeric_atoms","value":1368,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2699,"base":16},"right_expr":{"type":"numeric_atoms","value":1256,"base":16}}}}},"used_operators":["W4YGzv6Whe","mp7IySMOzn","tifHPKVTfV","2DDjHMKMc0","yyfyN0ffXY","2DlMacCsIx","uFcxV4UQCh","EBcxylXtPf","TpPTUOHfaN","IWmyXbctLI","tmPS8pqC7x","Ph9nP6C5qx","DZ8iAZOCBD"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3446","layer":4},{"info":"number node, value=1825","layer":4},{"info":"compute binary expreesion, left_input=3446, right_input=1825, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3446","layer":3},{"info":"number node, value=1543","layer":4},{"info":"number node, value=3236","layer":4},{"info":"compute binary expreesion, left_input=1543, right_input=3236, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9708","layer":3},{"info":"compute binary expreesion, left_input=3446, right_input=-9708, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-13154","layer":2},{"info":"number node, value=4450","layer":4},{"info":"number node, value=1039","layer":4},{"info":"compute binary expreesion, left_input=4450, right_input=1039, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=294","layer":3},{"info":"number node, value=1492","layer":4},{"info":"compute unary expreesion, input=1492, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4385","layer":3},{"info":"compute binary expreesion, left_input=294, right_input=4385, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-42","layer":2},{"info":"compute binary expreesion, left_input=-13154, right_input=-42, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=-84","layer":1},{"info":"number node, value=2938","layer":4},{"info":"compute unary expreesion, input=2938, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=7277","layer":3},{"info":"number node, value=3780","layer":4},{"info":"number node, value=1282","layer":4},{"info":"compute binary expreesion, left_input=3780, right_input=1282, 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=3780","layer":3},{"info":"compute binary expreesion, left_input=7277, right_input=3780, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=14870","layer":2},{"info":"number node, value=2856","layer":4},{"info":"number node, value=1368","layer":4},{"info":"compute binary expreesion, left_input=2856, right_input=1368, op_id = W4YGzv6Whe binary_op_definition= 'None', output=4224","layer":3},{"info":"number node, value=2699","layer":4},{"info":"number node, value=1256","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=1256, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5398","layer":3},{"info":"compute binary expreesion, left_input=4224, right_input=5398, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4925","layer":2},{"info":"compute binary expreesion, left_input=14870, right_input=4925, 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=-84, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D76⋝⋈⪟∃⊬721⇼⇔∾∃⊬607↙∃⊬CA4)⇷(∃⊬1162⪛∃⊬40F⩨(∃⊬5D4⫌⩹⨱))+(∃⊬B7A⫌⩹⨱)⪮%⊝(∃⊬EC4⨪↰⇹∃⊬502)+⇶⊼(∃⊬B28+∃⊬558)≧⫂∧(∃⊬A8B⊉≛↸∃⊬4E8)=NaN","reverse_text":"NaN=(∃⊬D76⋝⋈⪟∃⊬721⇼⇔∾∃⊬607↙∃⊬CA4)⇷(∃⊬1162⪛∃⊬40F⩨(∃⊬5D4⫌⩹⨱))+(∃⊬B7A⫌⩹⨱)⪮%⊝(∃⊬EC4⨪↰⇹∃⊬502)+⇶⊼(∃⊬B28+∃⊬558)≧⫂∧(∃⊬A8B⊉≛↸∃⊬4E8)","cot":[{"info":"∃⊬D76⋝⋈⪟∃⊬721=∃⊬D76","layer":3},{"info":"∃⊬607↙∃⊬CA4=∃⊬-25EC","layer":3},{"info":"∃⊬D76⇼⇔∾∃⊬-25EC=∃⊬-3362","layer":2},{"info":"∃⊬1162⪛∃⊬40F=∃⊬126","layer":3},{"info":"∃⊬5D4⫌⩹⨱=∃⊬1121","layer":3},{"info":"∃⊬126⩨∃⊬1121=∃⊬-2A","layer":2},{"info":"∃⊬-3362⇷∃⊬-2A=∃⊬-54","layer":1},{"info":"∃⊬B7A⫌⩹⨱=∃⊬1C6D","layer":3},{"info":"∃⊬EC4⨪↰⇹∃⊬502=∃⊬EC4","layer":3},{"info":"∃⊬1C6D⪮%⊝∃⊬EC4=∃⊬3A16","layer":2},{"info":"∃⊬B28+∃⊬558=∃⊬1080","layer":3},{"info":"∃⊬A8B⊉≛↸∃⊬4E8=∃⊬1516","layer":3},{"info":"∃⊬1080≧⫂∧∃⊬1516=∃⊬133D","layer":2},{"info":"∃⊬3A16+⇶⊼∃⊬133D=NaN","layer":1},{"info":"∃⊬-54+NaN=NaN","layer":0}]}
{"id":823,"expression_no_base_symbol":"((⊥($2453$⫩⊇))/($7757$⨐⩸⫘$3486$⫡⨏$2283$*$3521$))⩚⊴⇥(($3349$⨳⩥⨓$1158$)⨎$1016$⪮%⊝$5249$)⪮%⊝($1068$⩚⊴⇥$1123$⋳⪒($2749$⪐))","expression":"((⊥(∃⊬995⫩⊇))/(∃⊬1E4D⨐⩸⫘∃⊬D9E⫡⨏∃⊬8EB*∃⊬DC1))⩚⊴⇥((∃⊬D15⨳⩥⨓∃⊬486)⨎∃⊬3F8⪮%⊝∃⊬1481)⪮%⊝(∃⊬42C⩚⊴⇥∃⊬463⋳⪒(∃⊬ABD⪐))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":2332,"operation_count":14,"complexity_ratio":166.57142857142858,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2453,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7757,"base":16},"right_expr":{"type":"numeric_atoms","value":3486,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2283,"base":16},"right_expr":{"type":"numeric_atoms","value":3521,"base":16}}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":3349,"base":16},"right_expr":{"type":"numeric_atoms","value":1158,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1016,"base":16},"right_expr":{"type":"numeric_atoms","value":5249,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1068,"base":16},"right_expr":{"type":"numeric_atoms","value":1123,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":2749,"base":16}}}}},"used_operators":["NTOWxs364D","XhwjNDsVaA","Q3PJZHRvZv","BjRHVeLaeN","QMFrweE19q","fu6greOZ01","9HNa5Wba9A","IWmyXbctLI","rJVOvQCfKK","nCS4ZIUYfx","12rbrZMWeM","eH2TOUuTDT"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2453","layer":4},{"info":"compute unary expreesion, input=2453, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2411","layer":3},{"info":"compute unary expreesion, input=-2411, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"number node, value=7757","layer":4},{"info":"number node, value=3486","layer":4},{"info":"compute binary expreesion, left_input=7757, right_input=3486, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2283","layer":4},{"info":"number node, value=3521","layer":4},{"info":"compute binary expreesion, left_input=2283, right_input=3521, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8038443","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8038443, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=3349","layer":4},{"info":"number node, value=1158","layer":4},{"info":"compute binary expreesion, left_input=3349, right_input=1158, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-2191","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=5249","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=5249, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2348","layer":3},{"info":"compute binary expreesion, left_input=-2191, right_input=2348, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2348","layer":2},{"info":"number node, value=1068","layer":4},{"info":"number node, value=1123","layer":4},{"info":"compute binary expreesion, left_input=1068, right_input=1123, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2312","layer":3},{"info":"number node, value=2749","layer":4},{"info":"compute unary expreesion, input=2749, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=5498","layer":3},{"info":"compute binary expreesion, left_input=-2312, right_input=5498, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-10409","layer":2},{"info":"compute binary expreesion, left_input=2348, right_input=-10409, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5012","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5012, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊥(∃⊬995⫩⊇))/(∃⊬1E4D⨐⩸⫘∃⊬D9E⫡⨏∃⊬8EB*∃⊬DC1))⩚⊴⇥((∃⊬D15⨳⩥⨓∃⊬486)⨎∃⊬3F8⪮%⊝∃⊬1481)⪮%⊝(∃⊬42C⩚⊴⇥∃⊬463⋳⪒(∃⊬ABD⪐))=NaN","reverse_text":"NaN=((⊥(∃⊬995⫩⊇))/(∃⊬1E4D⨐⩸⫘∃⊬D9E⫡⨏∃⊬8EB*∃⊬DC1))⩚⊴⇥((∃⊬D15⨳⩥⨓∃⊬486)⨎∃⊬3F8⪮%⊝∃⊬1481)⪮%⊝(∃⊬42C⩚⊴⇥∃⊬463⋳⪒(∃⊬ABD⪐))","cot":[{"info":"∃⊬995⫩⊇=∃⊬-96B","layer":3},{"info":"⊥∃⊬-96B=NaN","layer":2},{"info":"∃⊬1E4D⨐⩸⫘∃⊬D9E=NaN","layer":3},{"info":"∃⊬8EB*∃⊬DC1=∃⊬7AA82B","layer":3},{"info":"NaN⫡⨏∃⊬7AA82B=NaN","layer":2},{"info":"NaN/NaN=NaN","layer":1},{"info":"∃⊬D15⨳⩥⨓∃⊬486=∃⊬-88F","layer":3},{"info":"∃⊬3F8⪮%⊝∃⊬1481=∃⊬92C","layer":3},{"info":"∃⊬-88F⨎∃⊬92C=∃⊬92C","layer":2},{"info":"∃⊬42C⩚⊴⇥∃⊬463=∃⊬-908","layer":3},{"info":"∃⊬ABD⪐=∃⊬157A","layer":3},{"info":"∃⊬-908⋳⪒∃⊬157A=∃⊬-28A9","layer":2},{"info":"∃⊬92C⪮%⊝∃⊬-28A9=∃⊬1394","layer":1},{"info":"NaN⩚⊴⇥∃⊬1394=NaN","layer":0}]}
{"id":824,"expression_no_base_symbol":"(($1976$⨪↰⇹$4769$⊦⊿)⪠⩆⊳)⇷(⊙↵-($3583$⇷$5935$⫥∨⫟(⊙↵-$7693$)))","expression":"((∃⊬7B8⨪↰⇹∃⊬12A1⊦⊿)⪠⩆⊳)⇷(⊙↵-(∃⊬DFF⇷∃⊬172F⫥∨⫟(⊙↵-∃⊬1E0D)))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":60083,"operation_count":8,"complexity_ratio":7510.375,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1976,"base":16},"right_expr":{"type":"numeric_atoms","value":4769,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3583,"base":16},"right_expr":{"type":"numeric_atoms","value":5935,"base":16}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":7693,"base":16}}}}},"used_operators":["mp7IySMOzn","JLbD19bQDL","14qkJME0vr","tmPS8pqC7x","oWn0xqSxBt","KYD54nUTWz"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1976","layer":4},{"info":"number node, value=4769","layer":4},{"info":"compute binary expreesion, left_input=1976, right_input=4769, 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=1976","layer":3},{"info":"compute unary expreesion, input=1976, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6007","layer":2},{"info":"compute unary expreesion, input=-6007, 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=3583","layer":4},{"info":"number node, value=5935","layer":4},{"info":"compute binary expreesion, left_input=3583, right_input=5935, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=11870","layer":3},{"info":"number node, value=7693","layer":4},{"info":"compute unary expreesion, input=7693, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"compute binary expreesion, left_input=11870, right_input=-1, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, 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":"((∃⊬7B8⨪↰⇹∃⊬12A1⊦⊿)⪠⩆⊳)⇷(⊙↵-(∃⊬DFF⇷∃⊬172F⫥∨⫟(⊙↵-∃⊬1E0D)))=NaN","reverse_text":"NaN=((∃⊬7B8⨪↰⇹∃⊬12A1⊦⊿)⪠⩆⊳)⇷(⊙↵-(∃⊬DFF⇷∃⊬172F⫥∨⫟(⊙↵-∃⊬1E0D)))","cot":[{"info":"∃⊬7B8⨪↰⇹∃⊬12A1=∃⊬7B8","layer":3},{"info":"∃⊬7B8⊦⊿=∃⊬-1777","layer":2},{"info":"∃⊬-1777⪠⩆⊳=∃⊬0","layer":1},{"info":"∃⊬DFF⇷∃⊬172F=∃⊬2E5E","layer":3},{"info":"⊙↵-∃⊬1E0D=∃⊬-1","layer":3},{"info":"∃⊬2E5E⫥∨⫟∃⊬-1=NaN","layer":2},{"info":"⊙↵-NaN=NaN","layer":1},{"info":"∃⊬0⇷NaN=NaN","layer":0}]}
{"id":825,"expression_no_base_symbol":"((⫓⪴(↣≠⋷$2878$))⫸⊐($1320$⇷$1213$)≹⇙⪍(↔$1800$))⋓((($3672$-$2272$)⋳⪒(⨰⫟⨤$1114$))∸)","expression":"((⫓⪴(↣≠⋷∃⊬B3E))⫸⊐(∃⊬528⇷∃⊬4BD)≹⇙⪍(↔∃⊬708))⋓(((∃⊬E58-∃⊬8E0)⋳⪒(⨰⫟⨤∃⊬45A))∸)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":22316,"operation_count":11,"complexity_ratio":2028.7272727272727,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2878,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1320,"base":16},"right_expr":{"type":"numeric_atoms","value":1213,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1800,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":3672,"base":16},"right_expr":{"type":"numeric_atoms","value":2272,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1114,"base":16}}}}},"used_operators":["T2fj7uvVaJ","mqXw5SEYmG","eLxqMNBOBk","Asc51vEJeQ","AHs5Up7iyr","mp7IySMOzn","ruOEQAzv1W","o20kRiQErp","12rbrZMWeM","rysDP5nf3Z","Tw270M8GLb"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","XhwjNDsVaA","AHs5Up7iyr","dWAJyo7jo9","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2878","layer":4},{"info":"compute unary expreesion, input=2878, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=1320","layer":4},{"info":"number node, value=1213","layer":4},{"info":"compute binary expreesion, left_input=1320, right_input=1213, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2426","layer":3},{"info":"number node, value=1800","layer":4},{"info":"compute unary expreesion, input=1800, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1527","layer":3},{"info":"compute binary expreesion, left_input=2426, right_input=-1527, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"number node, value=3672","layer":4},{"info":"number node, value=2272","layer":4},{"info":"compute binary expreesion, left_input=3672, right_input=2272, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1400","layer":3},{"info":"number node, value=1114","layer":4},{"info":"compute unary expreesion, input=1114, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1400, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, 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":"((⫓⪴(↣≠⋷∃⊬B3E))⫸⊐(∃⊬528⇷∃⊬4BD)≹⇙⪍(↔∃⊬708))⋓(((∃⊬E58-∃⊬8E0)⋳⪒(⨰⫟⨤∃⊬45A))∸)=∃⊬0","reverse_text":"∃⊬0=((⫓⪴(↣≠⋷∃⊬B3E))⫸⊐(∃⊬528⇷∃⊬4BD)≹⇙⪍(↔∃⊬708))⋓(((∃⊬E58-∃⊬8E0)⋳⪒(⨰⫟⨤∃⊬45A))∸)","cot":[{"info":"↣≠⋷∃⊬B3E=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"∃⊬528⇷∃⊬4BD=∃⊬97A","layer":3},{"info":"↔∃⊬708=∃⊬-5F7","layer":3},{"info":"∃⊬97A≹⇙⪍∃⊬-5F7=NaN","layer":2},{"info":"NaN⫸⊐NaN=NaN","layer":1},{"info":"∃⊬E58-∃⊬8E0=∃⊬578","layer":3},{"info":"⨰⫟⨤∃⊬45A=NaN","layer":3},{"info":"∃⊬578⋳⪒NaN=NaN","layer":2},{"info":"NaN∸=∃⊬B1","layer":1},{"info":"NaN⋓∃⊬B1=∃⊬0","layer":0}]}
{"id":826,"expression_no_base_symbol":"((⊙↵-($2394$⪨≂$1557$))⩨(($3024$⫸⊐$4938$)≫≃))↬(((⫓⪴$1037$)⊉≛↸$3366$∀⇚≩$1887$)⪄(⊙↵-($1720$⨐⩸⫘$1207$)))","expression":"((⊙↵-(∃⊬95A⪨≂∃⊬615))⩨((∃⊬BD0⫸⊐∃⊬134A)≫≃))↬(((⫓⪴∃⊬40D)⊉≛↸∃⊬D26∀⇚≩∃⊬75F)⪄(⊙↵-(∃⊬6B8⨐⩸⫘∃⊬4B7)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":67240,"operation_count":12,"complexity_ratio":5603.333333333333,"tree":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2394,"base":16},"right_expr":{"type":"numeric_atoms","value":1557,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3024,"base":16},"right_expr":{"type":"numeric_atoms","value":4938,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1037,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3366,"base":16},"right_expr":{"type":"numeric_atoms","value":1887,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1720,"base":16},"right_expr":{"type":"numeric_atoms","value":1207,"base":16}}}}},"used_operators":["B5M0gjZbta","2DlMacCsIx","oWn0xqSxBt","sdazOOVcIp","X99M06cbEe","mqXw5SEYmG","SUmda5xLS4","DZ8iAZOCBD","eLxqMNBOBk","LRNGc0VcxI","fu6greOZ01"],"dependent_operators":["rGHVDoGpnC","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","X99M06cbEe","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2394","layer":4},{"info":"number node, value=1557","layer":4},{"info":"compute binary expreesion, left_input=2394, right_input=1557, 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=1776","layer":3},{"info":"compute unary expreesion, input=1776, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=3024","layer":4},{"info":"number node, value=4938","layer":4},{"info":"compute binary expreesion, left_input=3024, right_input=4938, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19627","layer":3},{"info":"compute unary expreesion, input=19627, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=40655","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=40655, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=121965","layer":1},{"info":"number node, value=1037","layer":4},{"info":"compute unary expreesion, input=1037, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1075369","layer":3},{"info":"number node, value=3366","layer":4},{"info":"number node, value=1887","layer":4},{"info":"compute binary expreesion, left_input=3366, right_input=1887, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1075369, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2150738","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1207","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1207, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2150738, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=121965, 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":"((⊙↵-(∃⊬95A⪨≂∃⊬615))⩨((∃⊬BD0⫸⊐∃⊬134A)≫≃))↬(((⫓⪴∃⊬40D)⊉≛↸∃⊬D26∀⇚≩∃⊬75F)⪄(⊙↵-(∃⊬6B8⨐⩸⫘∃⊬4B7)))=NaN","reverse_text":"NaN=((⊙↵-(∃⊬95A⪨≂∃⊬615))⩨((∃⊬BD0⫸⊐∃⊬134A)≫≃))↬(((⫓⪴∃⊬40D)⊉≛↸∃⊬D26∀⇚≩∃⊬75F)⪄(⊙↵-(∃⊬6B8⨐⩸⫘∃⊬4B7)))","cot":[{"info":"∃⊬95A⪨≂∃⊬615=∃⊬6F0","layer":3},{"info":"⊙↵-∃⊬6F0=∃⊬-1","layer":2},{"info":"∃⊬BD0⫸⊐∃⊬134A=∃⊬4CAB","layer":3},{"info":"∃⊬4CAB≫≃=∃⊬9ECF","layer":2},{"info":"∃⊬-1⩨∃⊬9ECF=∃⊬1DC6D","layer":1},{"info":"⫓⪴∃⊬40D=∃⊬1068A9","layer":3},{"info":"∃⊬D26∀⇚≩∃⊬75F=NaN","layer":3},{"info":"∃⊬1068A9⊉≛↸NaN=∃⊬20D152","layer":2},{"info":"∃⊬6B8⨐⩸⫘∃⊬4B7=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∃⊬20D152⪄NaN=NaN","layer":1},{"info":"∃⊬1DC6D↬NaN=NaN","layer":0}]}
{"id":827,"expression_no_base_symbol":"(⊙↵-($6129$≭$1691$))∀⇚≩(↣≠⋷($9447$↙$7775$))⨵⪆(⋗⩬⋾($2980$⪄$1011$)∼($5104$⨵⪆$7675$))","expression":"(⊙↵-(∃⊬17F1≭∃⊬69B))∀⇚≩(↣≠⋷(∃⊬24E7↙∃⊬1E5F))⨵⪆(⋗⩬⋾(∃⊬BA4⪄∃⊬3F3)∼(∃⊬13F0⨵⪆∃⊬1DFB))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":17220,"operation_count":10,"complexity_ratio":1722.0,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6129,"base":16},"right_expr":{"type":"numeric_atoms","value":1691,"base":16}}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":9447,"base":16},"right_expr":{"type":"numeric_atoms","value":7775,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2980,"base":16},"right_expr":{"type":"numeric_atoms","value":1011,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5104,"base":16},"right_expr":{"type":"numeric_atoms","value":7675,"base":16}}}}},"used_operators":["2DQ55sFlQl","LRNGc0VcxI","oWn0xqSxBt","rxpJgHHUmx","Asc51vEJeQ","yyfyN0ffXY","DpFCA1CohY","DyGG3AbaNP","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","AHs5Up7iyr","XhwjNDsVaA","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6129","layer":4},{"info":"number node, value=1691","layer":4},{"info":"compute binary expreesion, left_input=6129, right_input=1691, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"number node, value=9447","layer":4},{"info":"number node, value=7775","layer":4},{"info":"compute binary expreesion, left_input=9447, right_input=7775, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-23325","layer":3},{"info":"compute unary expreesion, input=-23325, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"number node, value=2980","layer":4},{"info":"number node, value=1011","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=1011, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-441173","layer":3},{"info":"number node, value=5104","layer":4},{"info":"number node, value=7675","layer":4},{"info":"compute binary expreesion, left_input=5104, right_input=7675, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-441173, right_input=160, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"(⊙↵-(∃⊬17F1≭∃⊬69B))∀⇚≩(↣≠⋷(∃⊬24E7↙∃⊬1E5F))⨵⪆(⋗⩬⋾(∃⊬BA4⪄∃⊬3F3)∼(∃⊬13F0⨵⪆∃⊬1DFB))=∃⊬A0","reverse_text":"∃⊬A0=(⊙↵-(∃⊬17F1≭∃⊬69B))∀⇚≩(↣≠⋷(∃⊬24E7↙∃⊬1E5F))⨵⪆(⋗⩬⋾(∃⊬BA4⪄∃⊬3F3)∼(∃⊬13F0⨵⪆∃⊬1DFB))","cot":[{"info":"∃⊬17F1≭∃⊬69B=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∃⊬24E7↙∃⊬1E5F=∃⊬-5B1D","layer":3},{"info":"↣≠⋷∃⊬-5B1D=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬BA4⪄∃⊬3F3=∃⊬-6BB55","layer":3},{"info":"∃⊬13F0⨵⪆∃⊬1DFB=∃⊬A0","layer":3},{"info":"∃⊬-6BB55∼∃⊬A0=∃⊬0","layer":2},{"info":"⋗⩬⋾∃⊬0=∃⊬0","layer":1},{"info":"NaN⨵⪆∃⊬0=∃⊬A0","layer":0}]}
{"id":828,"expression_no_base_symbol":"⪲⇎((⊙↵-$1284$)↙$3541$⩷∴$6960$)⋝⋈⪟((⊙↵-$8602$)⪒$3336$⨸⪁$1212$)","expression":"⪲⇎((⊙↵-∃⊬504)↙∃⊬DD5⩷∴∃⊬1B30)⋝⋈⪟((⊙↵-∃⊬219A)⪒∃⊬D08⨸⪁∃⊬4BC)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":9996,"operation_count":8,"complexity_ratio":1249.5,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":1284,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3541,"base":16},"right_expr":{"type":"numeric_atoms","value":6960,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":8602,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3336,"base":16},"right_expr":{"type":"numeric_atoms","value":1212,"base":16}}}}},"used_operators":["XPYlsWDdGa","2DDjHMKMc0","yyfyN0ffXY","oWn0xqSxBt","9FxExcQeMw","f6k1SAg4EE","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬-2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1284","layer":4},{"info":"compute unary expreesion, input=1284, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3541","layer":4},{"info":"number node, value=6960","layer":4},{"info":"compute binary expreesion, left_input=3541, right_input=6960, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6870","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=-6870, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1","layer":2},{"info":"number node, value=8602","layer":4},{"info":"compute unary expreesion, input=8602, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=3336","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3336, right_input=1212, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9096","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=9096, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-9095","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=-9095, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=-1","layer":1},{"info":"compute unary expreesion, input=-1, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-2","layer":0}],"base":16,"result_base":16,"text":"⪲⇎((⊙↵-∃⊬504)↙∃⊬DD5⩷∴∃⊬1B30)⋝⋈⪟((⊙↵-∃⊬219A)⪒∃⊬D08⨸⪁∃⊬4BC)=∃⊬-2","reverse_text":"∃⊬-2=⪲⇎((⊙↵-∃⊬504)↙∃⊬DD5⩷∴∃⊬1B30)⋝⋈⪟((⊙↵-∃⊬219A)⪒∃⊬D08⨸⪁∃⊬4BC)","cot":[{"info":"⊙↵-∃⊬504=∃⊬-1","layer":3},{"info":"∃⊬DD5⩷∴∃⊬1B30=∃⊬-1AD6","layer":3},{"info":"∃⊬-1↙∃⊬-1AD6=∃⊬-1","layer":2},{"info":"⊙↵-∃⊬219A=∃⊬-1","layer":3},{"info":"∃⊬D08⨸⪁∃⊬4BC=∃⊬2388","layer":3},{"info":"∃⊬-1⪒∃⊬2388=∃⊬-2387","layer":2},{"info":"∃⊬-1⋝⋈⪟∃⊬-2387=∃⊬-1","layer":1},{"info":"⪲⇎∃⊬-1=∃⊬-2","layer":0}]}
{"id":829,"expression_no_base_symbol":"(⪲⇎(↽≂$3924$))∼(≉$1473$⨰$3188$)⋫","expression":"(⪲⇎(↽≂∃⊬F54))∼(≉∃⊬5C1⨰∃⊬C74)⋫","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":322,"operation_count":6,"complexity_ratio":53.666666666666664,"tree":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":3924,"base":16}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1473,"base":16},"right_expr":{"type":"numeric_atoms","value":3188,"base":16}}}}},"used_operators":["JL8yIekQnl","DyGG3AbaNP","XPYlsWDdGa","u6S6b8DprG","e1ybzncUwg","eewbuw0ToL"],"dependent_operators":["tmPS8pqC7x","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3924","layer":4},{"info":"compute unary expreesion, input=3924, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-7848","layer":3},{"info":"compute unary expreesion, input=-7848, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-15696","layer":2},{"info":"number node, value=1473","layer":4},{"info":"number node, value=3188","layer":4},{"info":"compute binary expreesion, left_input=1473, right_input=3188, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1705","layer":3},{"info":"compute unary expreesion, input=-1705, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=-1705","layer":2},{"info":"compute binary expreesion, left_input=-15696, right_input=-1705, 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 = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎(↽≂∃⊬F54))∼(≉∃⊬5C1⨰∃⊬C74)⋫=NaN","reverse_text":"NaN=(⪲⇎(↽≂∃⊬F54))∼(≉∃⊬5C1⨰∃⊬C74)⋫","cot":[{"info":"↽≂∃⊬F54=∃⊬-1EA8","layer":3},{"info":"⪲⇎∃⊬-1EA8=∃⊬-3D50","layer":2},{"info":"∃⊬5C1⨰∃⊬C74=∃⊬-6A9","layer":3},{"info":"≉∃⊬-6A9=∃⊬-6A9","layer":2},{"info":"∃⊬-3D50∼∃⊬-6A9=NaN","layer":1},{"info":"NaN⋫=NaN","layer":0}]}
{"id":830,"expression_no_base_symbol":"↔((↩$1829$↺$2152$)⊭↱((⪲⇎$2017$)∲⫓$4082$≎⊠⪸$2636$))","expression":"↔((↩∃⊬725↺∃⊬868)⊭↱((⪲⇎∃⊬7E1)∲⫓∃⊬FF2≎⊠⪸∃⊬A4C))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":305,"operation_count":7,"complexity_ratio":43.57142857142857,"tree":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1829,"base":16},"right_expr":{"type":"numeric_atoms","value":2152,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":2017,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4082,"base":16},"right_expr":{"type":"numeric_atoms","value":2636,"base":16}}}}},"used_operators":["ruOEQAzv1W","COABgblf1C","jLgFTUHLKL","7j4O788W3g","i8ToyICDmI","XPYlsWDdGa","bJkvcejdHO"],"dependent_operators":["XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"∃⊬-6FBC","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1829","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=1829, right_input=2152, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2152","layer":3},{"info":"compute unary expreesion, input=2152, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14436","layer":2},{"info":"number node, value=2017","layer":4},{"info":"compute unary expreesion, input=2017, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=4034","layer":3},{"info":"number node, value=4082","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=4082, right_input=2636, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1056765","layer":3},{"info":"compute binary expreesion, left_input=4034, right_input=1056765, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-14436, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=28877","layer":1},{"info":"compute unary expreesion, input=28877, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-28604","layer":0}],"base":16,"result_base":16,"text":"↔((↩∃⊬725↺∃⊬868)⊭↱((⪲⇎∃⊬7E1)∲⫓∃⊬FF2≎⊠⪸∃⊬A4C))=∃⊬-6FBC","reverse_text":"∃⊬-6FBC=↔((↩∃⊬725↺∃⊬868)⊭↱((⪲⇎∃⊬7E1)∲⫓∃⊬FF2≎⊠⪸∃⊬A4C))","cot":[{"info":"∃⊬725↺∃⊬868=∃⊬868","layer":3},{"info":"↩∃⊬868=∃⊬-3864","layer":2},{"info":"⪲⇎∃⊬7E1=∃⊬FC2","layer":3},{"info":"∃⊬FF2≎⊠⪸∃⊬A4C=∃⊬101FFD","layer":3},{"info":"∃⊬FC2∲⫓∃⊬101FFD=∃⊬0","layer":2},{"info":"∃⊬-3864⊭↱∃⊬0=∃⊬70CD","layer":1},{"info":"↔∃⊬70CD=∃⊬-6FBC","layer":0}]}
{"id":831,"expression_no_base_symbol":"((($2219$⊦⊿)≎⊠⪸(-$4055$))∸)⋥≓≎(($5054$⨳⩥⨓$3507$∲⫓(⨞⊢$1394$))⊭↱(($4385$⨐⩸⫘$3679$)∧))","expression":"(((∃⊬8AB⊦⊿)≎⊠⪸(-∃⊬FD7))∸)⋥≓≎((∃⊬13BE⨳⩥⨓∃⊬DB3∲⫓(⨞⊢∃⊬572))⊭↱((∃⊬1121⨐⩸⫘∃⊬E5F)∧))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":220,"operation_count":11,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":2219,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4055,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":5054,"base":16},"right_expr":{"type":"numeric_atoms","value":3507,"base":16}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1394,"base":16}}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4385,"base":16},"right_expr":{"type":"numeric_atoms","value":3679,"base":16}}}}},"used_operators":["Qy55tPpLXF","o20kRiQErp","bJkvcejdHO","14qkJME0vr","t8gj7n24qd","COABgblf1C","i8ToyICDmI","nCS4ZIUYfx","xUOZtlo3hN","z63VuFQld9","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2219","layer":4},{"info":"compute unary expreesion, input=2219, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-6736","layer":3},{"info":"number node, value=4055","layer":4},{"info":"compute unary expreesion, input=4055, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4055","layer":3},{"info":"compute binary expreesion, left_input=-6736, right_input=-4055, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"number node, value=5054","layer":4},{"info":"number node, value=3507","layer":4},{"info":"compute binary expreesion, left_input=5054, right_input=3507, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1547","layer":3},{"info":"number node, value=1394","layer":4},{"info":"compute unary expreesion, input=1394, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1568","layer":3},{"info":"compute binary expreesion, left_input=-1547, right_input=-1568, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1547","layer":2},{"info":"number node, value=4385","layer":4},{"info":"number node, value=3679","layer":4},{"info":"compute binary expreesion, left_input=4385, right_input=3679, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1547, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=177, 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":"(((∃⊬8AB⊦⊿)≎⊠⪸(-∃⊬FD7))∸)⋥≓≎((∃⊬13BE⨳⩥⨓∃⊬DB3∲⫓(⨞⊢∃⊬572))⊭↱((∃⊬1121⨐⩸⫘∃⊬E5F)∧))=NaN","reverse_text":"NaN=(((∃⊬8AB⊦⊿)≎⊠⪸(-∃⊬FD7))∸)⋥≓≎((∃⊬13BE⨳⩥⨓∃⊬DB3∲⫓(⨞⊢∃⊬572))⊭↱((∃⊬1121⨐⩸⫘∃⊬E5F)∧))","cot":[{"info":"∃⊬8AB⊦⊿=∃⊬-1A50","layer":3},{"info":"-∃⊬FD7=∃⊬-FD7","layer":3},{"info":"∃⊬-1A50≎⊠⪸∃⊬-FD7=∃⊬43","layer":2},{"info":"∃⊬43∸=∃⊬B1","layer":1},{"info":"∃⊬13BE⨳⩥⨓∃⊬DB3=∃⊬-60B","layer":3},{"info":"⨞⊢∃⊬572=∃⊬-620","layer":3},{"info":"∃⊬-60B∲⫓∃⊬-620=∃⊬-60B","layer":2},{"info":"∃⊬1121⨐⩸⫘∃⊬E5F=NaN","layer":3},{"info":"NaN∧=NaN","layer":2},{"info":"∃⊬-60B⊭↱NaN=NaN","layer":1},{"info":"∃⊬B1⋥≓≎NaN=NaN","layer":0}]}
{"id":832,"expression_no_base_symbol":"($2133$≧⫂∧$5165$)⊴($5702$⨪↰⇹$4324$)⇼⇔∾(($1961$↙$1305$)⊭∹↮)⊉≛↸((⊄⩳↩$1002$)-($1240$⊠≄⫣))↬(($2935$⩨$1403$)⋝⋈⪟$5694$⪛$1230$)","expression":"(∃⊬855≧⫂∧∃⊬142D)⊴(∃⊬1646⨪↰⇹∃⊬10E4)⇼⇔∾((∃⊬7A9↙∃⊬519)⊭∹↮)⊉≛↸((⊄⩳↩∃⊬3EA)-(∃⊬4D8⊠≄⫣))↬((∃⊬B77⩨∃⊬57B)⋝⋈⪟∃⊬163E⪛∃⊬4CE)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12746,"operation_count":14,"complexity_ratio":910.4285714285714,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2133,"base":16},"right_expr":{"type":"numeric_atoms","value":5165,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":5702,"base":16},"right_expr":{"type":"numeric_atoms","value":4324,"base":16}}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1961,"base":16},"right_expr":{"type":"numeric_atoms","value":1305,"base":16}}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1002,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1240,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2935,"base":16},"right_expr":{"type":"numeric_atoms","value":1403,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5694,"base":16},"right_expr":{"type":"numeric_atoms","value":1230,"base":16}}}}},"used_operators":["DZ8iAZOCBD","tifHPKVTfV","Nsiff2A1zJ","Ph9nP6C5qx","tmPS8pqC7x","xNBdhnnwKq","yyfyN0ffXY","B5M0gjZbta","rysDP5nf3Z","8w2t5hMYqp","DIvbN7qnHd","2DDjHMKMc0","2DlMacCsIx","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2133","layer":4},{"info":"number node, value=5165","layer":4},{"info":"compute binary expreesion, left_input=2133, right_input=5165, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4692","layer":3},{"info":"number node, value=5702","layer":4},{"info":"number node, value=4324","layer":4},{"info":"compute binary expreesion, left_input=5702, right_input=4324, 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=5702","layer":3},{"info":"compute binary expreesion, left_input=4692, right_input=5702, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=1961","layer":4},{"info":"number node, value=1305","layer":4},{"info":"compute binary expreesion, left_input=1961, right_input=1305, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3915","layer":3},{"info":"compute unary expreesion, input=-3915, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-3915","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3915, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":1},{"info":"number node, value=1002","layer":4},{"info":"compute unary expreesion, input=1002, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-3006","layer":3},{"info":"number node, value=1240","layer":4},{"info":"compute unary expreesion, input=1240, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-3006, right_input=0, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-3006","layer":2},{"info":"number node, value=2935","layer":4},{"info":"number node, value=1403","layer":4},{"info":"compute binary expreesion, left_input=2935, right_input=1403, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=5694","layer":4},{"info":"number node, value=1230","layer":4},{"info":"compute binary expreesion, left_input=5694, right_input=1230, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=774","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=774, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-3006, right_input=0, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬855≧⫂∧∃⊬142D)⊴(∃⊬1646⨪↰⇹∃⊬10E4)⇼⇔∾((∃⊬7A9↙∃⊬519)⊭∹↮)⊉≛↸((⊄⩳↩∃⊬3EA)-(∃⊬4D8⊠≄⫣))↬((∃⊬B77⩨∃⊬57B)⋝⋈⪟∃⊬163E⪛∃⊬4CE)=NaN","reverse_text":"NaN=(∃⊬855≧⫂∧∃⊬142D)⊴(∃⊬1646⨪↰⇹∃⊬10E4)⇼⇔∾((∃⊬7A9↙∃⊬519)⊭∹↮)⊉≛↸((⊄⩳↩∃⊬3EA)-(∃⊬4D8⊠≄⫣))↬((∃⊬B77⩨∃⊬57B)⋝⋈⪟∃⊬163E⪛∃⊬4CE)","cot":[{"info":"∃⊬855≧⫂∧∃⊬142D=∃⊬1254","layer":3},{"info":"∃⊬1646⨪↰⇹∃⊬10E4=∃⊬1646","layer":3},{"info":"∃⊬1254⊴∃⊬1646=NaN","layer":2},{"info":"∃⊬7A9↙∃⊬519=∃⊬-F4B","layer":3},{"info":"∃⊬-F4B⊭∹↮=∃⊬-F4B","layer":2},{"info":"NaN⇼⇔∾∃⊬-F4B=NaN","layer":1},{"info":"⊄⩳↩∃⊬3EA=∃⊬-BBE","layer":3},{"info":"∃⊬4D8⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬-BBE-∃⊬0=∃⊬-BBE","layer":2},{"info":"∃⊬B77⩨∃⊬57B=∃⊬0","layer":3},{"info":"∃⊬163E⪛∃⊬4CE=∃⊬306","layer":3},{"info":"∃⊬0⋝⋈⪟∃⊬306=∃⊬0","layer":2},{"info":"∃⊬-BBE↬∃⊬0=NaN","layer":1},{"info":"NaN⊉≛↸NaN=NaN","layer":0}]}
{"id":833,"expression_no_base_symbol":"(⨞⊢($2126$⪒$1122$)⨎($1223$⪐))≭(⨵≀≌(⪲⇎($1365$⋫)))","expression":"(⨞⊢(∃⊬84E⪒∃⊬462)⨎(∃⊬4C7⪐))≭(⨵≀≌(⪲⇎(∃⊬555⋫)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1379,"operation_count":8,"complexity_ratio":172.375,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2126,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1223,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1365,"base":16}}}}},"used_operators":["rxpJgHHUmx","xUOZtlo3hN","rJVOvQCfKK","f6k1SAg4EE","eH2TOUuTDT","srAu1WTS94","XPYlsWDdGa","JL8yIekQnl"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2126","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=2126, right_input=1122, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3248","layer":3},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2446","layer":3},{"info":"compute binary expreesion, left_input=-3248, right_input=2446, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2446","layer":2},{"info":"compute unary expreesion, input=2446, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-2620","layer":1},{"info":"number node, value=1365","layer":4},{"info":"compute unary expreesion, input=1365, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1365","layer":3},{"info":"compute unary expreesion, input=1365, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=2730","layer":2},{"info":"compute unary expreesion, input=2730, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-8190","layer":1},{"info":"compute binary expreesion, left_input=-2620, right_input=-8190, 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":"(⨞⊢(∃⊬84E⪒∃⊬462)⨎(∃⊬4C7⪐))≭(⨵≀≌(⪲⇎(∃⊬555⋫)))=NaN","reverse_text":"NaN=(⨞⊢(∃⊬84E⪒∃⊬462)⨎(∃⊬4C7⪐))≭(⨵≀≌(⪲⇎(∃⊬555⋫)))","cot":[{"info":"∃⊬84E⪒∃⊬462=∃⊬-CB0","layer":3},{"info":"∃⊬4C7⪐=∃⊬98E","layer":3},{"info":"∃⊬-CB0⨎∃⊬98E=∃⊬98E","layer":2},{"info":"⨞⊢∃⊬98E=∃⊬-A3C","layer":1},{"info":"∃⊬555⋫=∃⊬555","layer":3},{"info":"⪲⇎∃⊬555=∃⊬AAA","layer":2},{"info":"⨵≀≌∃⊬AAA=∃⊬-1FFE","layer":1},{"info":"∃⊬-A3C≭∃⊬-1FFE=NaN","layer":0}]}
{"id":834,"expression_no_base_symbol":"↥(⪲⇎$5895$)∑⇟⊟($1517$⨰$3781$)+⇶⊼(($4195$⋥≓≎$3749$)⩚⊴⇥($1704$↪⪝))","expression":"↥(⪲⇎∃⊬1707)∑⇟⊟(∃⊬5ED⨰∃⊬EC5)+⇶⊼((∃⊬1063⋥≓≎∃⊬EA5)⩚⊴⇥(∃⊬6A8↪⪝))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":718,"operation_count":8,"complexity_ratio":89.75,"tree":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":5895,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1517,"base":16},"right_expr":{"type":"numeric_atoms","value":3781,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4195,"base":16},"right_expr":{"type":"numeric_atoms","value":3749,"base":16}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":1704,"base":16}}}}},"used_operators":["A8NUZmVepG","TpPTUOHfaN","U7g4x0WXJJ","XPYlsWDdGa","eewbuw0ToL","NTOWxs364D","Qy55tPpLXF","l07mrZUIn9"],"dependent_operators":["k8jYdgA6NY","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","2DDjHMKMc0"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5895","layer":4},{"info":"compute unary expreesion, input=5895, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=11790","layer":3},{"info":"number node, value=1517","layer":4},{"info":"number node, value=3781","layer":4},{"info":"compute binary expreesion, left_input=1517, right_input=3781, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2254","layer":3},{"info":"compute binary expreesion, left_input=11790, right_input=-2254, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=4195","layer":4},{"info":"number node, value=3749","layer":4},{"info":"compute binary expreesion, left_input=4195, right_input=3749, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3336","layer":3},{"info":"number node, value=1704","layer":4},{"info":"compute unary expreesion, input=1704, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=104254128","layer":3},{"info":"compute binary expreesion, left_input=3336, right_input=104254128, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-104257585","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-104257585, 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 = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"↥(⪲⇎∃⊬1707)∑⇟⊟(∃⊬5ED⨰∃⊬EC5)+⇶⊼((∃⊬1063⋥≓≎∃⊬EA5)⩚⊴⇥(∃⊬6A8↪⪝))=NaN","reverse_text":"NaN=↥(⪲⇎∃⊬1707)∑⇟⊟(∃⊬5ED⨰∃⊬EC5)+⇶⊼((∃⊬1063⋥≓≎∃⊬EA5)⩚⊴⇥(∃⊬6A8↪⪝))","cot":[{"info":"⪲⇎∃⊬1707=∃⊬2E0E","layer":3},{"info":"∃⊬5ED⨰∃⊬EC5=∃⊬-8CE","layer":3},{"info":"∃⊬2E0E∑⇟⊟∃⊬-8CE=NaN","layer":2},{"info":"∃⊬1063⋥≓≎∃⊬EA5=∃⊬D08","layer":3},{"info":"∃⊬6A8↪⪝=∃⊬636CAB0","layer":3},{"info":"∃⊬D08⩚⊴⇥∃⊬636CAB0=∃⊬-636D831","layer":2},{"info":"NaN+⇶⊼∃⊬-636D831=NaN","layer":1},{"info":"↥NaN=NaN","layer":0}]}
{"id":835,"expression_no_base_symbol":"($8539$⨐⩸⫘$3777$)⋓($1450$⪠⩆⊳)⋥≓≎$5828$≹⇙⪍$8299$⨎$4086$⪘⫢$3907$/(≉($1011$⇼⇔∾$4552$⩨(⋗⩬⋾$1211$)))","expression":"(∃⊬215B⨐⩸⫘∃⊬EC1)⋓(∃⊬5AA⪠⩆⊳)⋥≓≎∃⊬16C4≹⇙⪍∃⊬206B⨎∃⊬FF6⪘⫢∃⊬F43/(≉(∃⊬3F3⇼⇔∾∃⊬11C8⩨(⋗⩬⋾∃⊬4BB)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82,"operation_count":12,"complexity_ratio":6.833333333333333,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":8539,"base":16},"right_expr":{"type":"numeric_atoms","value":3777,"base":16}},"right_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1450,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5828,"base":16},"right_expr":{"type":"numeric_atoms","value":8299,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":4086,"base":16},"right_expr":{"type":"numeric_atoms","value":3907,"base":16}}}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1011,"base":16},"right_expr":{"type":"numeric_atoms","value":4552,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":1211,"base":16}}}}},"used_operators":["XhwjNDsVaA","Qy55tPpLXF","T2fj7uvVaJ","fu6greOZ01","JLbD19bQDL","rJVOvQCfKK","AHs5Up7iyr","oacrs7FA3X","e1ybzncUwg","2DlMacCsIx","tifHPKVTfV","DpFCA1CohY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","dWAJyo7jo9","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬1E","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8539","layer":4},{"info":"number node, value=3777","layer":4},{"info":"compute binary expreesion, left_input=8539, right_input=3777, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1450","layer":4},{"info":"compute unary expreesion, input=1450, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=5828","layer":4},{"info":"number node, value=8299","layer":4},{"info":"compute binary expreesion, left_input=5828, right_input=8299, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4086","layer":4},{"info":"number node, value=3907","layer":4},{"info":"compute binary expreesion, left_input=4086, right_input=3907, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=8048","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8048, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=8048","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=8048, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=16129","layer":1},{"info":"number node, value=1011","layer":4},{"info":"number node, value=4552","layer":4},{"info":"compute binary expreesion, left_input=1011, right_input=4552, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=3541","layer":3},{"info":"number node, value=1211","layer":4},{"info":"compute unary expreesion, input=1211, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-3633","layer":3},{"info":"compute binary expreesion, left_input=3541, right_input=-3633, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=6","layer":2},{"info":"compute unary expreesion, input=6, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=537","layer":1},{"info":"compute binary expreesion, left_input=16129, right_input=537, op_id = XhwjNDsVaA binary_op_definition= 'None', output=30","layer":0}],"base":16,"result_base":16,"text":"(∃⊬215B⨐⩸⫘∃⊬EC1)⋓(∃⊬5AA⪠⩆⊳)⋥≓≎∃⊬16C4≹⇙⪍∃⊬206B⨎∃⊬FF6⪘⫢∃⊬F43/(≉(∃⊬3F3⇼⇔∾∃⊬11C8⩨(⋗⩬⋾∃⊬4BB)))=∃⊬1E","reverse_text":"∃⊬1E=(∃⊬215B⨐⩸⫘∃⊬EC1)⋓(∃⊬5AA⪠⩆⊳)⋥≓≎∃⊬16C4≹⇙⪍∃⊬206B⨎∃⊬FF6⪘⫢∃⊬F43/(≉(∃⊬3F3⇼⇔∾∃⊬11C8⩨(⋗⩬⋾∃⊬4BB)))","cot":[{"info":"∃⊬215B⨐⩸⫘∃⊬EC1=NaN","layer":3},{"info":"∃⊬5AA⪠⩆⊳=∃⊬0","layer":3},{"info":"NaN⋓∃⊬0=∃⊬0","layer":2},{"info":"∃⊬16C4≹⇙⪍∃⊬206B=NaN","layer":3},{"info":"∃⊬FF6⪘⫢∃⊬F43=∃⊬1F70","layer":3},{"info":"NaN⨎∃⊬1F70=∃⊬1F70","layer":2},{"info":"∃⊬0⋥≓≎∃⊬1F70=∃⊬3F01","layer":1},{"info":"∃⊬3F3⇼⇔∾∃⊬11C8=∃⊬DD5","layer":3},{"info":"⋗⩬⋾∃⊬4BB=∃⊬-E31","layer":3},{"info":"∃⊬DD5⩨∃⊬-E31=∃⊬6","layer":2},{"info":"≉∃⊬6=∃⊬219","layer":1},{"info":"∃⊬3F01/∃⊬219=∃⊬1E","layer":0}]}
{"id":836,"expression_no_base_symbol":"(($4619$⨵⪆$5438$)⇼⇔∾($4925$≋⫹)≋⫹)+⇶⊼(($7327$%$1398$)⋝⋈⪟($3706$≦≮≮)≭($2175$⨵⪆$4582$+$1882$≎⊠⪸$3345$))","expression":"((∃⊬120B⨵⪆∃⊬153E)⇼⇔∾(∃⊬133D≋⫹)≋⫹)+⇶⊼((∃⊬1C9F%∃⊬576)⋝⋈⪟(∃⊬E7A≦≮≮)≭(∃⊬87F⨵⪆∃⊬11E6+∃⊬75A≎⊠⪸∃⊬D11))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":294,"operation_count":12,"complexity_ratio":24.5,"tree":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4619,"base":16},"right_expr":{"type":"numeric_atoms","value":5438,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":4925,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":7327,"base":16},"right_expr":{"type":"numeric_atoms","value":1398,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3706,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2175,"base":16},"right_expr":{"type":"numeric_atoms","value":4582,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1882,"base":16},"right_expr":{"type":"numeric_atoms","value":3345,"base":16}}}}},"used_operators":["TpPTUOHfaN","N41Kp7NANJ","tifHPKVTfV","2DQ55sFlQl","rxpJgHHUmx","2DDjHMKMc0","k8jYdgA6NY","D4vGDi5EA2","W4YGzv6Whe","bJkvcejdHO"],"dependent_operators":["AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4619","layer":4},{"info":"number node, value=5438","layer":4},{"info":"compute binary expreesion, left_input=4619, right_input=5438, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=4925","layer":4},{"info":"compute unary expreesion, input=4925, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-9850","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9850, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-10010","layer":2},{"info":"compute unary expreesion, input=-10010, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=20020","layer":1},{"info":"number node, value=7327","layer":4},{"info":"number node, value=1398","layer":4},{"info":"compute binary expreesion, left_input=7327, right_input=1398, op_id = k8jYdgA6NY binary_op_definition= 'None', output=337","layer":3},{"info":"number node, value=3706","layer":4},{"info":"compute unary expreesion, input=3706, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11118","layer":3},{"info":"compute binary expreesion, left_input=337, right_input=-11118, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=337","layer":2},{"info":"number node, value=2175","layer":4},{"info":"number node, value=4582","layer":4},{"info":"compute binary expreesion, left_input=2175, right_input=4582, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1882","layer":4},{"info":"number node, value=3345","layer":4},{"info":"compute binary expreesion, left_input=1882, right_input=3345, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=486965","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=486965, op_id = W4YGzv6Whe binary_op_definition= 'None', output=487125","layer":2},{"info":"compute binary expreesion, left_input=337, right_input=487125, 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=20020, 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":"((∃⊬120B⨵⪆∃⊬153E)⇼⇔∾(∃⊬133D≋⫹)≋⫹)+⇶⊼((∃⊬1C9F%∃⊬576)⋝⋈⪟(∃⊬E7A≦≮≮)≭(∃⊬87F⨵⪆∃⊬11E6+∃⊬75A≎⊠⪸∃⊬D11))=NaN","reverse_text":"NaN=((∃⊬120B⨵⪆∃⊬153E)⇼⇔∾(∃⊬133D≋⫹)≋⫹)+⇶⊼((∃⊬1C9F%∃⊬576)⋝⋈⪟(∃⊬E7A≦≮≮)≭(∃⊬87F⨵⪆∃⊬11E6+∃⊬75A≎⊠⪸∃⊬D11))","cot":[{"info":"∃⊬120B⨵⪆∃⊬153E=∃⊬A0","layer":3},{"info":"∃⊬133D≋⫹=∃⊬-267A","layer":3},{"info":"∃⊬A0⇼⇔∾∃⊬-267A=∃⊬-271A","layer":2},{"info":"∃⊬-271A≋⫹=∃⊬4E34","layer":1},{"info":"∃⊬1C9F%∃⊬576=∃⊬151","layer":3},{"info":"∃⊬E7A≦≮≮=∃⊬-2B6E","layer":3},{"info":"∃⊬151⋝⋈⪟∃⊬-2B6E=∃⊬151","layer":2},{"info":"∃⊬87F⨵⪆∃⊬11E6=∃⊬A0","layer":3},{"info":"∃⊬75A≎⊠⪸∃⊬D11=∃⊬76E35","layer":3},{"info":"∃⊬A0+∃⊬76E35=∃⊬76ED5","layer":2},{"info":"∃⊬151≭∃⊬76ED5=NaN","layer":1},{"info":"∃⊬4E34+⇶⊼NaN=NaN","layer":0}]}
{"id":837,"expression_no_base_symbol":"(⨰⫟⨤(($4132$⋥≓≎$1456$)∧))∑⇟⊟((≉(↥$1457$))⫥∨⫟($3505$⩚⊴⇥$5514$)≧⫂∧(⊄⩳↩$1851$))","expression":"(⨰⫟⨤((∃⊬1024⋥≓≎∃⊬5B0)∧))∑⇟⊟((≉(↥∃⊬5B1))⫥∨⫟(∃⊬DB1⩚⊴⇥∃⊬158A)≧⫂∧(⊄⩳↩∃⊬73B))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1099,"operation_count":10,"complexity_ratio":109.9,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4132,"base":16},"right_expr":{"type":"numeric_atoms","value":1456,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1457,"base":16}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3505,"base":16},"right_expr":{"type":"numeric_atoms","value":5514,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":1851,"base":16}}}}},"used_operators":["U7g4x0WXJJ","Tw270M8GLb","z63VuFQld9","Qy55tPpLXF","KYD54nUTWz","e1ybzncUwg","A8NUZmVepG","Ph9nP6C5qx","NTOWxs364D","8w2t5hMYqp"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4132","layer":4},{"info":"number node, value=1456","layer":4},{"info":"compute binary expreesion, left_input=4132, right_input=1456, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-1187","layer":3},{"info":"compute unary expreesion, input=-1187, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"number node, value=1457","layer":4},{"info":"compute unary expreesion, input=1457, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=29","layer":3},{"info":"compute unary expreesion, input=29, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=560","layer":2},{"info":"number node, value=3505","layer":4},{"info":"number node, value=5514","layer":4},{"info":"compute binary expreesion, left_input=3505, right_input=5514, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9140","layer":3},{"info":"number node, value=1851","layer":4},{"info":"compute unary expreesion, input=1851, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-5553","layer":3},{"info":"compute binary expreesion, left_input=-9140, right_input=-5553, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-3587","layer":2},{"info":"compute binary expreesion, left_input=560, right_input=-3587, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4492662, 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":"(⨰⫟⨤((∃⊬1024⋥≓≎∃⊬5B0)∧))∑⇟⊟((≉(↥∃⊬5B1))⫥∨⫟(∃⊬DB1⩚⊴⇥∃⊬158A)≧⫂∧(⊄⩳↩∃⊬73B))=NaN","reverse_text":"NaN=(⨰⫟⨤((∃⊬1024⋥≓≎∃⊬5B0)∧))∑⇟⊟((≉(↥∃⊬5B1))⫥∨⫟(∃⊬DB1⩚⊴⇥∃⊬158A)≧⫂∧(⊄⩳↩∃⊬73B))","cot":[{"info":"∃⊬1024⋥≓≎∃⊬5B0=∃⊬-4A3","layer":3},{"info":"∃⊬-4A3∧=∃⊬0","layer":2},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":1},{"info":"↥∃⊬5B1=∃⊬1D","layer":3},{"info":"≉∃⊬1D=∃⊬230","layer":2},{"info":"∃⊬DB1⩚⊴⇥∃⊬158A=∃⊬-23B4","layer":3},{"info":"⊄⩳↩∃⊬73B=∃⊬-15B1","layer":3},{"info":"∃⊬-23B4≧⫂∧∃⊬-15B1=∃⊬-E03","layer":2},{"info":"∃⊬230⫥∨⫟∃⊬-E03=NaN","layer":1},{"info":"∃⊬448D76∑⇟⊟NaN=NaN","layer":0}]}
{"id":838,"expression_no_base_symbol":"($3251$⨽$1547$⇼⇔∾$1911$⨽$8094$)⨎(⊙↵-$2485$⨟⋌⩍$4912$)⨸⪁((↔($7232$⪄$3876$))⇋≉)","expression":"(∃⊬CB3⨽∃⊬60B⇼⇔∾∃⊬777⨽∃⊬1F9E)⨎(⊙↵-∃⊬9B5⨟⋌⩍∃⊬1330)⨸⪁((↔(∃⊬1C40⪄∃⊬F24))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":5334,"operation_count":10,"complexity_ratio":533.4,"tree":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3251,"base":16},"right_expr":{"type":"numeric_atoms","value":1547,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1911,"base":16},"right_expr":{"type":"numeric_atoms","value":8094,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2485,"base":16},"right_expr":{"type":"numeric_atoms","value":4912,"base":16}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":7232,"base":16},"right_expr":{"type":"numeric_atoms","value":3876,"base":16}}}}},"used_operators":["g55IO6H4Gj","rJVOvQCfKK","tifHPKVTfV","8HhzD0ZcuI","oWn0xqSxBt","rGHVDoGpnC","XIabStNQrY","ruOEQAzv1W","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3251","layer":4},{"info":"number node, value=1547","layer":4},{"info":"compute binary expreesion, left_input=3251, right_input=1547, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-31710330","layer":3},{"info":"number node, value=1911","layer":4},{"info":"number node, value=8094","layer":4},{"info":"compute binary expreesion, left_input=1911, right_input=8094, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-10978731","layer":3},{"info":"compute binary expreesion, left_input=-31710330, right_input=-10978731, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=20731599","layer":2},{"info":"number node, value=2485","layer":4},{"info":"number node, value=4912","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=4912, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=20731599, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"number node, value=7232","layer":4},{"info":"number node, value=3876","layer":4},{"info":"compute binary expreesion, left_input=7232, right_input=3876, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1081929","layer":3},{"info":"compute unary expreesion, input=-1081929, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute unary expreesion, input=-134, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=-366","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-366, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬CB3⨽∃⊬60B⇼⇔∾∃⊬777⨽∃⊬1F9E)⨎(⊙↵-∃⊬9B5⨟⋌⩍∃⊬1330)⨸⪁((↔(∃⊬1C40⪄∃⊬F24))⇋≉)=NaN","reverse_text":"NaN=(∃⊬CB3⨽∃⊬60B⇼⇔∾∃⊬777⨽∃⊬1F9E)⨎(⊙↵-∃⊬9B5⨟⋌⩍∃⊬1330)⨸⪁((↔(∃⊬1C40⪄∃⊬F24))⇋≉)","cot":[{"info":"∃⊬CB3⨽∃⊬60B=∃⊬-1E3DC7A","layer":3},{"info":"∃⊬777⨽∃⊬1F9E=∃⊬-A785AB","layer":3},{"info":"∃⊬-1E3DC7A⇼⇔∾∃⊬-A785AB=∃⊬13C56CF","layer":2},{"info":"∃⊬9B5⨟⋌⩍∃⊬1330=NaN","layer":3},{"info":"⊙↵-NaN=NaN","layer":2},{"info":"∃⊬13C56CF⨎NaN=NaN","layer":1},{"info":"∃⊬1C40⪄∃⊬F24=∃⊬-108249","layer":3},{"info":"↔∃⊬-108249=∃⊬-86","layer":2},{"info":"∃⊬-86⇋≉=∃⊬-16E","layer":1},{"info":"NaN⨸⪁∃⊬-16E=NaN","layer":0}]}
{"id":839,"expression_no_base_symbol":"(↣≠⋷(⨑⩽⪐$1887$))⩷∴($2546$⪢$1326$%$1178$⋝⋈⪟$4393$)*((⊙↵-$6406$)⋥≓≎$1064$⪛$4325$)⋝⋈⪟($2299$⪘⫢$8652$⋳⪒$2855$⨪↰⇹$1387$)","expression":"(↣≠⋷(⨑⩽⪐∃⊬75F))⩷∴(∃⊬9F2⪢∃⊬52E%∃⊬49A⋝⋈⪟∃⊬1129)*((⊙↵-∃⊬1906)⋥≓≎∃⊬428⪛∃⊬10E5)⋝⋈⪟(∃⊬8FB⪘⫢∃⊬21CC⋳⪒∃⊬B27⨪↰⇹∃⊬56B)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":11980,"operation_count":14,"complexity_ratio":855.7142857142857,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1887,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2546,"base":16},"right_expr":{"type":"numeric_atoms","value":1326,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1178,"base":16},"right_expr":{"type":"numeric_atoms","value":4393,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":6406,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1064,"base":16},"right_expr":{"type":"numeric_atoms","value":4325,"base":16}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":2299,"base":16},"right_expr":{"type":"numeric_atoms","value":8652,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2855,"base":16},"right_expr":{"type":"numeric_atoms","value":1387,"base":16}}}}},"used_operators":["9HNa5Wba9A","9FxExcQeMw","Asc51vEJeQ","AF7qkfDlqP","k8jYdgA6NY","dWAJyo7jo9","2DDjHMKMc0","Qy55tPpLXF","oWn0xqSxBt","uFcxV4UQCh","12rbrZMWeM","oacrs7FA3X","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1887","layer":4},{"info":"compute unary expreesion, input=1887, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1614","layer":3},{"info":"compute unary expreesion, input=-1614, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2546","layer":4},{"info":"number node, value=1326","layer":4},{"info":"compute binary expreesion, left_input=2546, right_input=1326, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1178","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=1178, right_input=4393, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1178","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1178, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":1},{"info":"number node, value=6406","layer":4},{"info":"compute unary expreesion, input=6406, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1064","layer":4},{"info":"number node, value=4325","layer":4},{"info":"compute binary expreesion, left_input=1064, right_input=4325, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1064","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1064, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2162","layer":2},{"info":"number node, value=2299","layer":4},{"info":"number node, value=8652","layer":4},{"info":"compute binary expreesion, left_input=2299, right_input=8652, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=4474","layer":3},{"info":"number node, value=2855","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=2855, right_input=1387, 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=2855","layer":3},{"info":"compute binary expreesion, left_input=4474, right_input=2855, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5806","layer":2},{"info":"compute binary expreesion, left_input=2162, right_input=5806, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2162","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=2162, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷(⨑⩽⪐∃⊬75F))⩷∴(∃⊬9F2⪢∃⊬52E%∃⊬49A⋝⋈⪟∃⊬1129)*((⊙↵-∃⊬1906)⋥≓≎∃⊬428⪛∃⊬10E5)⋝⋈⪟(∃⊬8FB⪘⫢∃⊬21CC⋳⪒∃⊬B27⨪↰⇹∃⊬56B)=NaN","reverse_text":"NaN=(↣≠⋷(⨑⩽⪐∃⊬75F))⩷∴(∃⊬9F2⪢∃⊬52E%∃⊬49A⋝⋈⪟∃⊬1129)*((⊙↵-∃⊬1906)⋥≓≎∃⊬428⪛∃⊬10E5)⋝⋈⪟(∃⊬8FB⪘⫢∃⊬21CC⋳⪒∃⊬B27⨪↰⇹∃⊬56B)","cot":[{"info":"⨑⩽⪐∃⊬75F=∃⊬-64E","layer":3},{"info":"↣≠⋷∃⊬-64E=NaN","layer":2},{"info":"∃⊬9F2⪢∃⊬52E=NaN","layer":3},{"info":"∃⊬49A⋝⋈⪟∃⊬1129=∃⊬49A","layer":3},{"info":"NaN%∃⊬49A=NaN","layer":2},{"info":"NaN⩷∴NaN=NaN","layer":1},{"info":"⊙↵-∃⊬1906=∃⊬-1","layer":3},{"info":"∃⊬428⪛∃⊬10E5=∃⊬428","layer":3},{"info":"∃⊬-1⋥≓≎∃⊬428=∃⊬872","layer":2},{"info":"∃⊬8FB⪘⫢∃⊬21CC=∃⊬117A","layer":3},{"info":"∃⊬B27⨪↰⇹∃⊬56B=∃⊬B27","layer":3},{"info":"∃⊬117A⋳⪒∃⊬B27=∃⊬16AE","layer":2},{"info":"∃⊬872⋝⋈⪟∃⊬16AE=∃⊬872","layer":1},{"info":"NaN*∃⊬872=NaN","layer":0}]}
{"id":840,"expression_no_base_symbol":"(⪝⪂⫅(⨈⫕$1212$))⪢((+⊝⨔$2465$)*($1931$⫌⩹⨱))⪨≂(⩦⩻⨪(≦∁$1226$)⨪↰⇹(⨑⩽⪐$2143$))","expression":"(⪝⪂⫅(⨈⫕∃⊬4BC))⪢((+⊝⨔∃⊬9A1)*(∃⊬78B⫌⩹⨱))⪨≂(⩦⩻⨪(≦∁∃⊬4CA)⨪↰⇹(⨑⩽⪐∃⊬85F))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":3219,"operation_count":11,"complexity_ratio":292.6363636363636,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1212,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2465,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":1931,"base":16}}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1226,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2143,"base":16}}}}},"used_operators":["sdazOOVcIp","dWAJyo7jo9","XTarYq4gQB","megm06wKyl","9HNa5Wba9A","DhbWaqg5eL","EBcxylXtPf","2td37pGCOC","tmPS8pqC7x","9ICcGScMcE","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","9HNa5Wba9A","8w2t5hMYqp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","W4YGzv6Whe","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1212","layer":4},{"info":"compute unary expreesion, input=1212, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=3087","layer":2},{"info":"number node, value=2465","layer":4},{"info":"compute unary expreesion, input=2465, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1931","layer":4},{"info":"compute unary expreesion, input=1931, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=5263","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=5263, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8010286","layer":2},{"info":"compute binary expreesion, left_input=3087, right_input=8010286, 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=1226","layer":4},{"info":"compute unary expreesion, input=1226, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1226","layer":3},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1870","layer":3},{"info":"compute binary expreesion, left_input=1226, right_input=-1870, 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=1226","layer":2},{"info":"compute unary expreesion, input=1226, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1226","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1226, 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":"(⪝⪂⫅(⨈⫕∃⊬4BC))⪢((+⊝⨔∃⊬9A1)*(∃⊬78B⫌⩹⨱))⪨≂(⩦⩻⨪(≦∁∃⊬4CA)⨪↰⇹(⨑⩽⪐∃⊬85F))=NaN","reverse_text":"NaN=(⪝⪂⫅(⨈⫕∃⊬4BC))⪢((+⊝⨔∃⊬9A1)*(∃⊬78B⫌⩹⨱))⪨≂(⩦⩻⨪(≦∁∃⊬4CA)⨪↰⇹(⨑⩽⪐∃⊬85F))","cot":[{"info":"⨈⫕∃⊬4BC=∃⊬-15","layer":3},{"info":"⪝⪂⫅∃⊬-15=∃⊬C0F","layer":2},{"info":"+⊝⨔∃⊬9A1=∃⊬5F2","layer":3},{"info":"∃⊬78B⫌⩹⨱=∃⊬148F","layer":3},{"info":"∃⊬5F2*∃⊬148F=∃⊬7A3A2E","layer":2},{"info":"∃⊬C0F⪢∃⊬7A3A2E=NaN","layer":1},{"info":"≦∁∃⊬4CA=∃⊬4CA","layer":3},{"info":"⨑⩽⪐∃⊬85F=∃⊬-74E","layer":3},{"info":"∃⊬4CA⨪↰⇹∃⊬-74E=∃⊬4CA","layer":2},{"info":"⩦⩻⨪∃⊬4CA=∃⊬4CA","layer":1},{"info":"NaN⪨≂∃⊬4CA=NaN","layer":0}]}
{"id":841,"expression_no_base_symbol":"↣≠⋷((⇁⨣⪵($2263$∲⫓$4332$))%(⊥$1227$)⪛($1014$⨎$2521$))","expression":"↣≠⋷((⇁⨣⪵(∃⊬8D7∲⫓∃⊬10EC))%(⊥∃⊬4CB)⪛(∃⊬3F6⨎∃⊬9D9))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":13,"operation_count":7,"complexity_ratio":1.8571428571428572,"tree":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2263,"base":16},"right_expr":{"type":"numeric_atoms","value":4332,"base":16}}},"right_expr":{"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":1014,"base":16},"right_expr":{"type":"numeric_atoms","value":2521,"base":16}}}}},"used_operators":["Asc51vEJeQ","k8jYdgA6NY","inkyxCbjAn","i8ToyICDmI","uFcxV4UQCh","Q3PJZHRvZv","rJVOvQCfKK"],"dependent_operators":["XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","fu6greOZ01","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2263","layer":4},{"info":"number node, value=4332","layer":4},{"info":"compute binary expreesion, left_input=2263, right_input=4332, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=0","layer":2},{"info":"number node, value=1227","layer":4},{"info":"compute unary expreesion, input=1227, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=1014","layer":4},{"info":"number node, value=2521","layer":4},{"info":"compute binary expreesion, left_input=1014, right_input=2521, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2521","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2521, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', 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":"↣≠⋷((⇁⨣⪵(∃⊬8D7∲⫓∃⊬10EC))%(⊥∃⊬4CB)⪛(∃⊬3F6⨎∃⊬9D9))=NaN","reverse_text":"NaN=↣≠⋷((⇁⨣⪵(∃⊬8D7∲⫓∃⊬10EC))%(⊥∃⊬4CB)⪛(∃⊬3F6⨎∃⊬9D9))","cot":[{"info":"∃⊬8D7∲⫓∃⊬10EC=∃⊬0","layer":3},{"info":"⇁⨣⪵∃⊬0=∃⊬0","layer":2},{"info":"⊥∃⊬4CB=NaN","layer":3},{"info":"∃⊬3F6⨎∃⊬9D9=∃⊬9D9","layer":3},{"info":"NaN⪛∃⊬9D9=NaN","layer":2},{"info":"∃⊬0%NaN=NaN","layer":1},{"info":"↣≠⋷NaN=NaN","layer":0}]}
{"id":842,"expression_no_base_symbol":"(⊄⩳↩(+⊝⨔$3713$⊴$3127$))⋥≓≎(($1864$/$1921$)⨓($1005$⨸⪁$6008$)+$3091$∑⇟⊟$1018$*$1211$⨪↰⇹$2732$)","expression":"(⊄⩳↩(+⊝⨔∃⊬E81⊴∃⊬C37))⋥≓≎((∃⊬748/∃⊬781)⨓(∃⊬3ED⨸⪁∃⊬1778)+∃⊬C13∑⇟⊟∃⊬3FA*∃⊬4BB⨪↰⇹∃⊬AAC)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":22720,"operation_count":11,"complexity_ratio":2065.4545454545455,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":3713,"base":16},"right_expr":{"type":"numeric_atoms","value":3127,"base":16}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1864,"base":16},"right_expr":{"type":"numeric_atoms","value":1921,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":6008,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3091,"base":16},"right_expr":{"type":"numeric_atoms","value":1018,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1211,"base":16},"right_expr":{"type":"numeric_atoms","value":2732,"base":16}}}}},"used_operators":["Qy55tPpLXF","8w2t5hMYqp","DhbWaqg5eL","Nsiff2A1zJ","W4YGzv6Whe","3ViojmjbAp","XhwjNDsVaA","g55IO6H4Gj","9HNa5Wba9A","U7g4x0WXJJ","tmPS8pqC7x"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","dWAJyo7jo9","14qkJME0vr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rJVOvQCfKK"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3713","layer":4},{"info":"number node, value=3127","layer":4},{"info":"compute binary expreesion, left_input=3713, right_input=3127, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":2},{"info":"compute unary expreesion, input=1522, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-4566","layer":1},{"info":"number node, value=1864","layer":4},{"info":"number node, value=1921","layer":4},{"info":"compute binary expreesion, left_input=1864, right_input=1921, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1005","layer":4},{"info":"number node, value=6008","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=6008, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14026","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=14026, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-14029","layer":2},{"info":"number node, value=3091","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=1018, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1211","layer":4},{"info":"number node, value=2732","layer":4},{"info":"compute binary expreesion, left_input=1211, right_input=2732, 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=1211","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1211, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-14029, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-4566, 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":"(⊄⩳↩(+⊝⨔∃⊬E81⊴∃⊬C37))⋥≓≎((∃⊬748/∃⊬781)⨓(∃⊬3ED⨸⪁∃⊬1778)+∃⊬C13∑⇟⊟∃⊬3FA*∃⊬4BB⨪↰⇹∃⊬AAC)=∃⊬43","reverse_text":"∃⊬43=(⊄⩳↩(+⊝⨔∃⊬E81⊴∃⊬C37))⋥≓≎((∃⊬748/∃⊬781)⨓(∃⊬3ED⨸⪁∃⊬1778)+∃⊬C13∑⇟⊟∃⊬3FA*∃⊬4BB⨪↰⇹∃⊬AAC)","cot":[{"info":"∃⊬E81⊴∃⊬C37=NaN","layer":3},{"info":"+⊝⨔NaN=∃⊬5F2","layer":2},{"info":"⊄⩳↩∃⊬5F2=∃⊬-11D6","layer":1},{"info":"∃⊬748/∃⊬781=∃⊬0","layer":3},{"info":"∃⊬3ED⨸⪁∃⊬1778=∃⊬36CA","layer":3},{"info":"∃⊬0⨓∃⊬36CA=∃⊬-36CD","layer":2},{"info":"∃⊬C13∑⇟⊟∃⊬3FA=NaN","layer":3},{"info":"∃⊬4BB⨪↰⇹∃⊬AAC=∃⊬4BB","layer":3},{"info":"NaN*∃⊬4BB=NaN","layer":2},{"info":"∃⊬-36CD+NaN=NaN","layer":1},{"info":"∃⊬-11D6⋥≓≎NaN=∃⊬43","layer":0}]}
{"id":843,"expression_no_base_symbol":"(∥⊫$2825$+⇶⊼$5629$)⪢((≉$2168$)⪒$1386$⨳⩥⨓$2666$)⨰(↽≂$1380$⊴$4132$∀⇚≩($2523$⇋≉))","expression":"(∥⊫∃⊬B09+⇶⊼∃⊬15FD)⪢((≉∃⊬878)⪒∃⊬56A⨳⩥⨓∃⊬A6A)⨰(↽≂∃⊬564⊴∃⊬1024∀⇚≩(∃⊬9DB⇋≉))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8142,"operation_count":11,"complexity_ratio":740.1818181818181,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2825,"base":16},"right_expr":{"type":"numeric_atoms","value":5629,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":2168,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1386,"base":16},"right_expr":{"type":"numeric_atoms","value":2666,"base":16}}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1380,"base":16},"right_expr":{"type":"numeric_atoms","value":4132,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2523,"base":16}}}}},"used_operators":["eewbuw0ToL","dWAJyo7jo9","P8v4zCKN1o","TpPTUOHfaN","f6k1SAg4EE","e1ybzncUwg","nCS4ZIUYfx","u6S6b8DprG","LRNGc0VcxI","Nsiff2A1zJ","XIabStNQrY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2825","layer":4},{"info":"number node, value=5629","layer":4},{"info":"compute binary expreesion, left_input=2825, right_input=5629, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":2},{"info":"number node, value=2168","layer":4},{"info":"compute unary expreesion, input=2168, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=2699","layer":3},{"info":"number node, value=1386","layer":4},{"info":"number node, value=2666","layer":4},{"info":"compute binary expreesion, left_input=1386, right_input=2666, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1280","layer":3},{"info":"compute binary expreesion, left_input=2699, right_input=1280, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3979, 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=1380","layer":4},{"info":"number node, value=4132","layer":4},{"info":"compute binary expreesion, left_input=1380, right_input=4132, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=2523","layer":4},{"info":"compute unary expreesion, input=2523, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4948","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4948, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"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":"(∥⊫∃⊬B09+⇶⊼∃⊬15FD)⪢((≉∃⊬878)⪒∃⊬56A⨳⩥⨓∃⊬A6A)⨰(↽≂∃⊬564⊴∃⊬1024∀⇚≩(∃⊬9DB⇋≉))=NaN","reverse_text":"NaN=(∥⊫∃⊬B09+⇶⊼∃⊬15FD)⪢((≉∃⊬878)⪒∃⊬56A⨳⩥⨓∃⊬A6A)⨰(↽≂∃⊬564⊴∃⊬1024∀⇚≩(∃⊬9DB⇋≉))","cot":[{"info":"∃⊬B09+⇶⊼∃⊬15FD=NaN","layer":3},{"info":"∥⊫NaN=NaN","layer":2},{"info":"≉∃⊬878=∃⊬A8B","layer":3},{"info":"∃⊬56A⨳⩥⨓∃⊬A6A=∃⊬500","layer":3},{"info":"∃⊬A8B⪒∃⊬500=∃⊬-F8B","layer":2},{"info":"NaN⪢∃⊬-F8B=NaN","layer":1},{"info":"∃⊬564⊴∃⊬1024=NaN","layer":3},{"info":"∃⊬9DB⇋≉=∃⊬1354","layer":3},{"info":"NaN∀⇚≩∃⊬1354=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":844,"expression_no_base_symbol":"(($1845$⇷$1272$⨵⪆$3718$⨎$1184$)⨓(⫛⫱⨽$5053$)⨪↰⇹($1450$-$3381$))⪮%⊝((($1578$⨽$2413$)⨐⩸⫘($2154$⇋≉))≭(⨵≀≌$7619$)∀⇚≩($1856$⊭↱$2955$))","expression":"((∃⊬735⇷∃⊬4F8⨵⪆∃⊬E86⨎∃⊬4A0)⨓(⫛⫱⨽∃⊬13BD)⨪↰⇹(∃⊬5AA-∃⊬D35))⪮%⊝(((∃⊬62A⨽∃⊬96D)⨐⩸⫘(∃⊬86A⇋≉))≭(⨵≀≌∃⊬1DC3)∀⇚≩(∃⊬740⊭↱∃⊬B8B))","highest_n_order":5,"priority_hierarchical_complexity":12,"normalized_expansion_degree":188878,"operation_count":15,"complexity_ratio":12591.866666666667,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1845,"base":16},"right_expr":{"type":"numeric_atoms","value":1272,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3718,"base":16},"right_expr":{"type":"numeric_atoms","value":1184,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"numeric_atoms","value":5053,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1450,"base":16},"right_expr":{"type":"numeric_atoms","value":3381,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1578,"base":16},"right_expr":{"type":"numeric_atoms","value":2413,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2154,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":7619,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1856,"base":16},"right_expr":{"type":"numeric_atoms","value":2955,"base":16}}}}},"used_operators":["IWmyXbctLI","3ViojmjbAp","2DQ55sFlQl","mp7IySMOzn","rJVOvQCfKK","tmPS8pqC7x","DlLNRPXxWL","rysDP5nf3Z","rxpJgHHUmx","fu6greOZ01","8HhzD0ZcuI","XIabStNQrY","LRNGc0VcxI","srAu1WTS94","COABgblf1C"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rJVOvQCfKK","rGHVDoGpnC","AHs5Up7iyr","3ViojmjbAp","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1845","layer":4},{"info":"number node, value=1272","layer":4},{"info":"compute binary expreesion, left_input=1845, right_input=1272, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2544","layer":3},{"info":"number node, value=3718","layer":4},{"info":"number node, value=1184","layer":4},{"info":"compute binary expreesion, left_input=3718, right_input=1184, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1184","layer":3},{"info":"compute binary expreesion, left_input=2544, right_input=1184, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=5053","layer":4},{"info":"compute unary expreesion, input=5053, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":3},{"info":"number node, value=1450","layer":4},{"info":"number node, value=3381","layer":4},{"info":"compute binary expreesion, left_input=1450, right_input=3381, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-1931","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1931, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=0, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=1578","layer":4},{"info":"number node, value=2413","layer":4},{"info":"compute binary expreesion, left_input=1578, right_input=2413, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-7476177","layer":3},{"info":"number node, value=2154","layer":4},{"info":"compute unary expreesion, input=2154, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4210","layer":3},{"info":"compute binary expreesion, left_input=-7476177, right_input=4210, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=7619","layer":4},{"info":"compute unary expreesion, input=7619, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-22857","layer":3},{"info":"number node, value=1856","layer":4},{"info":"number node, value=2955","layer":4},{"info":"compute binary expreesion, left_input=1856, right_input=2955, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2203","layer":3},{"info":"compute binary expreesion, left_input=-22857, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":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":"((∃⊬735⇷∃⊬4F8⨵⪆∃⊬E86⨎∃⊬4A0)⨓(⫛⫱⨽∃⊬13BD)⨪↰⇹(∃⊬5AA-∃⊬D35))⪮%⊝(((∃⊬62A⨽∃⊬96D)⨐⩸⫘(∃⊬86A⇋≉))≭(⨵≀≌∃⊬1DC3)∀⇚≩(∃⊬740⊭↱∃⊬B8B))=NaN","reverse_text":"NaN=((∃⊬735⇷∃⊬4F8⨵⪆∃⊬E86⨎∃⊬4A0)⨓(⫛⫱⨽∃⊬13BD)⨪↰⇹(∃⊬5AA-∃⊬D35))⪮%⊝(((∃⊬62A⨽∃⊬96D)⨐⩸⫘(∃⊬86A⇋≉))≭(⨵≀≌∃⊬1DC3)∀⇚≩(∃⊬740⊭↱∃⊬B8B))","cot":[{"info":"∃⊬735⇷∃⊬4F8=∃⊬9F0","layer":3},{"info":"∃⊬E86⨎∃⊬4A0=∃⊬4A0","layer":3},{"info":"∃⊬9F0⨵⪆∃⊬4A0=∃⊬A0","layer":2},{"info":"⫛⫱⨽∃⊬13BD=∃⊬0","layer":3},{"info":"∃⊬5AA-∃⊬D35=∃⊬-78B","layer":3},{"info":"∃⊬0⨪↰⇹∃⊬-78B=∃⊬0","layer":2},{"info":"∃⊬A0⨓∃⊬0=NaN","layer":1},{"info":"∃⊬62A⨽∃⊬96D=∃⊬-7213D1","layer":3},{"info":"∃⊬86A⇋≉=∃⊬1072","layer":3},{"info":"∃⊬-7213D1⨐⩸⫘∃⊬1072=NaN","layer":2},{"info":"⨵≀≌∃⊬1DC3=∃⊬-5949","layer":3},{"info":"∃⊬740⊭↱∃⊬B8B=∃⊬89B","layer":3},{"info":"∃⊬-5949∀⇚≩∃⊬89B=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":845,"expression_no_base_symbol":"($2678$∲⫓$4841$)⪢($1880$⫡⨏$1322$)⪘⫢($2121$+⇶⊼$1462$↙($3786$⫡⨏$1101$))⪨≂($3209$≎⊠⪸$2995$)⪛($1886$⇷$1946$)⫥∨⫟(⇁⨣⪵$1502$⪘⫢$1785$)","expression":"(∃⊬A76∲⫓∃⊬12E9)⪢(∃⊬758⫡⨏∃⊬52A)⪘⫢(∃⊬849+⇶⊼∃⊬5B6↙(∃⊬ECA⫡⨏∃⊬44D))⪨≂(∃⊬C89≎⊠⪸∃⊬BB3)⪛(∃⊬75E⇷∃⊬79A)⫥∨⫟(⇁⨣⪵∃⊬5DE⪘⫢∃⊬6F9)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":39925,"operation_count":14,"complexity_ratio":2851.785714285714,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2678,"base":16},"right_expr":{"type":"numeric_atoms","value":4841,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1880,"base":16},"right_expr":{"type":"numeric_atoms","value":1322,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2121,"base":16},"right_expr":{"type":"numeric_atoms","value":1462,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":3786,"base":16},"right_expr":{"type":"numeric_atoms","value":1101,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":3209,"base":16},"right_expr":{"type":"numeric_atoms","value":2995,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1886,"base":16},"right_expr":{"type":"numeric_atoms","value":1946,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1502,"base":16},"right_expr":{"type":"numeric_atoms","value":1785,"base":16}}}}},"used_operators":["sdazOOVcIp","oacrs7FA3X","dWAJyo7jo9","i8ToyICDmI","QMFrweE19q","yyfyN0ffXY","TpPTUOHfaN","KYD54nUTWz","uFcxV4UQCh","bJkvcejdHO","mp7IySMOzn","inkyxCbjAn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","AHs5Up7iyr","8HhzD0ZcuI","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","B5M0gjZbta"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2678","layer":4},{"info":"number node, value=4841","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=4841, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"number node, value=1880","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=1880, right_input=1322, 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=12827","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=12827, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2121","layer":4},{"info":"number node, value=1462","layer":4},{"info":"compute binary expreesion, left_input=2121, right_input=1462, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3786","layer":4},{"info":"number node, value=1101","layer":4},{"info":"compute binary expreesion, left_input=3786, right_input=1101, 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=21915","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=21915, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=3209","layer":4},{"info":"number node, value=2995","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=2995, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=830658","layer":3},{"info":"number node, value=1886","layer":4},{"info":"number node, value=1946","layer":4},{"info":"compute binary expreesion, left_input=1886, right_input=1946, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3892","layer":3},{"info":"compute binary expreesion, left_input=830658, right_input=3892, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1662","layer":2},{"info":"number node, value=1502","layer":4},{"info":"number node, value=1785","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=1785, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2880","layer":3},{"info":"compute unary expreesion, input=2880, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1662, right_input=nan, 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 = 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":"(∃⊬A76∲⫓∃⊬12E9)⪢(∃⊬758⫡⨏∃⊬52A)⪘⫢(∃⊬849+⇶⊼∃⊬5B6↙(∃⊬ECA⫡⨏∃⊬44D))⪨≂(∃⊬C89≎⊠⪸∃⊬BB3)⪛(∃⊬75E⇷∃⊬79A)⫥∨⫟(⇁⨣⪵∃⊬5DE⪘⫢∃⊬6F9)=NaN","reverse_text":"NaN=(∃⊬A76∲⫓∃⊬12E9)⪢(∃⊬758⫡⨏∃⊬52A)⪘⫢(∃⊬849+⇶⊼∃⊬5B6↙(∃⊬ECA⫡⨏∃⊬44D))⪨≂(∃⊬C89≎⊠⪸∃⊬BB3)⪛(∃⊬75E⇷∃⊬79A)⫥∨⫟(⇁⨣⪵∃⊬5DE⪘⫢∃⊬6F9)","cot":[{"info":"∃⊬A76∲⫓∃⊬12E9=∃⊬0","layer":3},{"info":"∃⊬758⫡⨏∃⊬52A=∃⊬321B","layer":3},{"info":"∃⊬0⪢∃⊬321B=NaN","layer":2},{"info":"∃⊬849+⇶⊼∃⊬5B6=NaN","layer":3},{"info":"∃⊬ECA⫡⨏∃⊬44D=∃⊬559B","layer":3},{"info":"NaN↙∃⊬559B=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"∃⊬C89≎⊠⪸∃⊬BB3=∃⊬CACC2","layer":3},{"info":"∃⊬75E⇷∃⊬79A=∃⊬F34","layer":3},{"info":"∃⊬CACC2⪛∃⊬F34=∃⊬67E","layer":2},{"info":"∃⊬5DE⪘⫢∃⊬6F9=∃⊬B40","layer":3},{"info":"⇁⨣⪵∃⊬B40=NaN","layer":2},{"info":"∃⊬67E⫥∨⫟NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":846,"expression_no_base_symbol":"(∂(∥⊫$1051$))⫥∨⫟(⊥$1015$⪮%⊝$4094$)∲⫓($3578$*$7335$⨸⪁$1936$⨳⩥⨓$3733$)⇷$1572$≹⇙⪍$4947$⊴($2804$⇷$1678$)","expression":"(∂(∥⊫∃⊬41B))⫥∨⫟(⊥∃⊬3F7⪮%⊝∃⊬FFE)∲⫓(∃⊬DFA*∃⊬1CA7⨸⪁∃⊬790⨳⩥⨓∃⊬E95)⇷∃⊬624≹⇙⪍∃⊬1353⊴(∃⊬AF4⇷∃⊬68E)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":46387,"operation_count":13,"complexity_ratio":3568.230769230769,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1051,"base":16}}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1015,"base":16},"right_expr":{"type":"numeric_atoms","value":4094,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3578,"base":16},"right_expr":{"type":"numeric_atoms","value":7335,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1936,"base":16},"right_expr":{"type":"numeric_atoms","value":3733,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1572,"base":16},"right_expr":{"type":"numeric_atoms","value":4947,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2804,"base":16},"right_expr":{"type":"numeric_atoms","value":1678,"base":16}}}}},"used_operators":["i8ToyICDmI","KYD54nUTWz","Uaa54Peajs","P8v4zCKN1o","Q3PJZHRvZv","IWmyXbctLI","mp7IySMOzn","g55IO6H4Gj","9HNa5Wba9A","nCS4ZIUYfx","Nsiff2A1zJ","AHs5Up7iyr"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","dWAJyo7jo9"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1051","layer":4},{"info":"compute unary expreesion, input=1051, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=1919","layer":3},{"info":"compute unary expreesion, input=1919, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=1015","layer":4},{"info":"number node, value=4094","layer":4},{"info":"compute binary expreesion, left_input=1015, right_input=4094, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2346","layer":3},{"info":"compute unary expreesion, input=2346, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=3578","layer":4},{"info":"number node, value=7335","layer":4},{"info":"compute binary expreesion, left_input=3578, right_input=7335, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=26244630","layer":3},{"info":"number node, value=1936","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=1936, right_input=3733, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1797","layer":3},{"info":"compute binary expreesion, left_input=26244630, right_input=1797, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=52492854","layer":2},{"info":"number node, value=1572","layer":4},{"info":"number node, value=4947","layer":4},{"info":"compute binary expreesion, left_input=1572, right_input=4947, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2804","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=1678, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3356","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3356, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=52492854, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(∂(∥⊫∃⊬41B))⫥∨⫟(⊥∃⊬3F7⪮%⊝∃⊬FFE)∲⫓(∃⊬DFA*∃⊬1CA7⨸⪁∃⊬790⨳⩥⨓∃⊬E95)⇷∃⊬624≹⇙⪍∃⊬1353⊴(∃⊬AF4⇷∃⊬68E)=NaN","reverse_text":"NaN=(∂(∥⊫∃⊬41B))⫥∨⫟(⊥∃⊬3F7⪮%⊝∃⊬FFE)∲⫓(∃⊬DFA*∃⊬1CA7⨸⪁∃⊬790⨳⩥⨓∃⊬E95)⇷∃⊬624≹⇙⪍∃⊬1353⊴(∃⊬AF4⇷∃⊬68E)","cot":[{"info":"∥⊫∃⊬41B=∃⊬77F","layer":3},{"info":"∂∃⊬77F=NaN","layer":2},{"info":"∃⊬3F7⪮%⊝∃⊬FFE=∃⊬92A","layer":3},{"info":"⊥∃⊬92A=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬DFA*∃⊬1CA7=∃⊬1907616","layer":3},{"info":"∃⊬790⨳⩥⨓∃⊬E95=∃⊬705","layer":3},{"info":"∃⊬1907616⨸⪁∃⊬705=∃⊬320FA36","layer":2},{"info":"∃⊬624≹⇙⪍∃⊬1353=NaN","layer":3},{"info":"∃⊬AF4⇷∃⊬68E=∃⊬D1C","layer":3},{"info":"NaN⊴∃⊬D1C=NaN","layer":2},{"info":"∃⊬320FA36⇷NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":847,"expression_no_base_symbol":"(($5454$∼$5832$⊭↱(∂$1877$))⩚⊴⇥(⪲⇎($3425$⊉≛↸$2184$)))⨪↰⇹((($1126$∸)∧)⪨≂((≦∁$3308$)⋷($4061$/$2300$)))","expression":"((∃⊬154E∼∃⊬16C8⊭↱(∂∃⊬755))⩚⊴⇥(⪲⇎(∃⊬D61⊉≛↸∃⊬888)))⨪↰⇹(((∃⊬466∸)∧)⪨≂((≦∁∃⊬CEC)⋷(∃⊬FDD/∃⊬8FC)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":315,"operation_count":13,"complexity_ratio":24.23076923076923,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":5454,"base":16},"right_expr":{"type":"numeric_atoms","value":5832,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1877,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":3425,"base":16},"right_expr":{"type":"numeric_atoms","value":2184,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1126,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3308,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":4061,"base":16},"right_expr":{"type":"numeric_atoms","value":2300,"base":16}}}}},"used_operators":["tmPS8pqC7x","NTOWxs364D","COABgblf1C","DyGG3AbaNP","Uaa54Peajs","XPYlsWDdGa","DZ8iAZOCBD","sdazOOVcIp","z63VuFQld9","o20kRiQErp","23Mk6UjR3U","9ICcGScMcE","XhwjNDsVaA"],"dependent_operators":["rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5454","layer":4},{"info":"number node, value=5832","layer":4},{"info":"compute binary expreesion, left_input=5454, right_input=5832, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1877","layer":4},{"info":"compute unary expreesion, input=1877, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=3425","layer":4},{"info":"number node, value=2184","layer":4},{"info":"compute binary expreesion, left_input=3425, right_input=2184, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=6850","layer":3},{"info":"compute unary expreesion, input=6850, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=13700","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=13700, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"number node, value=1126","layer":4},{"info":"compute unary expreesion, input=1126, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute unary expreesion, input=177, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":2},{"info":"number node, value=3308","layer":4},{"info":"compute unary expreesion, input=3308, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3308","layer":3},{"info":"number node, value=4061","layer":4},{"info":"number node, value=2300","layer":4},{"info":"compute binary expreesion, left_input=4061, right_input=2300, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=3308, right_input=1, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-3306","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-3306, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"((∃⊬154E∼∃⊬16C8⊭↱(∂∃⊬755))⩚⊴⇥(⪲⇎(∃⊬D61⊉≛↸∃⊬888)))⨪↰⇹(((∃⊬466∸)∧)⪨≂((≦∁∃⊬CEC)⋷(∃⊬FDD/∃⊬8FC)))=NaN","reverse_text":"NaN=((∃⊬154E∼∃⊬16C8⊭↱(∂∃⊬755))⩚⊴⇥(⪲⇎(∃⊬D61⊉≛↸∃⊬888)))⨪↰⇹(((∃⊬466∸)∧)⪨≂((≦∁∃⊬CEC)⋷(∃⊬FDD/∃⊬8FC)))","cot":[{"info":"∃⊬154E∼∃⊬16C8=NaN","layer":3},{"info":"∂∃⊬755=NaN","layer":3},{"info":"NaN⊭↱NaN=NaN","layer":2},{"info":"∃⊬D61⊉≛↸∃⊬888=∃⊬1AC2","layer":3},{"info":"⪲⇎∃⊬1AC2=∃⊬3584","layer":2},{"info":"NaN⩚⊴⇥∃⊬3584=NaN","layer":1},{"info":"∃⊬466∸=∃⊬B1","layer":3},{"info":"∃⊬B1∧=NaN","layer":2},{"info":"≦∁∃⊬CEC=∃⊬CEC","layer":3},{"info":"∃⊬FDD/∃⊬8FC=∃⊬1","layer":3},{"info":"∃⊬CEC⋷∃⊬1=∃⊬-CEA","layer":2},{"info":"NaN⪨≂∃⊬-CEA=NaN","layer":1},{"info":"NaN⨪↰⇹NaN=NaN","layer":0}]}
{"id":848,"expression_no_base_symbol":"+⊝⨔((≦∁($7980$⫡⨏$1695$))⪛($1007$+⇶⊼$1686$-($1875$≦≮≮)))","expression":"+⊝⨔((≦∁(∃⊬1F2C⫡⨏∃⊬69F))⪛(∃⊬3EF+⇶⊼∃⊬696-(∃⊬753≦≮≮)))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":37,"operation_count":7,"complexity_ratio":5.285714285714286,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7980,"base":16},"right_expr":{"type":"numeric_atoms","value":1695,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":1686,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":1875,"base":16}}}}},"used_operators":["DhbWaqg5eL","uFcxV4UQCh","9ICcGScMcE","QMFrweE19q","rysDP5nf3Z","TpPTUOHfaN","D4vGDi5EA2"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7980","layer":4},{"info":"number node, value=1695","layer":4},{"info":"compute binary expreesion, left_input=7980, right_input=1695, 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=44073","layer":3},{"info":"compute unary expreesion, input=44073, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=44073","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1686","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1686, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1875","layer":4},{"info":"compute unary expreesion, input=1875, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-5625","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5625, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=44073, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"compute 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":"+⊝⨔((≦∁(∃⊬1F2C⫡⨏∃⊬69F))⪛(∃⊬3EF+⇶⊼∃⊬696-(∃⊬753≦≮≮)))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔((≦∁(∃⊬1F2C⫡⨏∃⊬69F))⪛(∃⊬3EF+⇶⊼∃⊬696-(∃⊬753≦≮≮)))","cot":[{"info":"∃⊬1F2C⫡⨏∃⊬69F=∃⊬AC29","layer":3},{"info":"≦∁∃⊬AC29=∃⊬AC29","layer":2},{"info":"∃⊬3EF+⇶⊼∃⊬696=NaN","layer":3},{"info":"∃⊬753≦≮≮=∃⊬-15F9","layer":3},{"info":"NaN-∃⊬-15F9=NaN","layer":2},{"info":"∃⊬AC29⪛NaN=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
{"id":849,"expression_no_base_symbol":"⊄⩳↩(⇁⨣⪵$3303$⪘⫢$1124$)⨪↰⇹($1562$∑⇟⊟$1543$⨎($1992$⋥≓≎$1560$))","expression":"⊄⩳↩(⇁⨣⪵∃⊬CE7⪘⫢∃⊬464)⨪↰⇹(∃⊬61A∑⇟⊟∃⊬607⨎(∃⊬7C8⋥≓≎∃⊬618))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":26,"operation_count":7,"complexity_ratio":3.7142857142857144,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3303,"base":16},"right_expr":{"type":"numeric_atoms","value":1124,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1562,"base":16},"right_expr":{"type":"numeric_atoms","value":1543,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1992,"base":16},"right_expr":{"type":"numeric_atoms","value":1560,"base":16}}}}},"used_operators":["8w2t5hMYqp","tmPS8pqC7x","inkyxCbjAn","oacrs7FA3X","rJVOvQCfKK","U7g4x0WXJJ","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3303","layer":4},{"info":"number node, value=1124","layer":4},{"info":"compute binary expreesion, left_input=3303, right_input=1124, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6482","layer":3},{"info":"compute unary expreesion, input=6482, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=1562","layer":4},{"info":"number node, value=1543","layer":4},{"info":"compute binary expreesion, left_input=1562, right_input=1543, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1992","layer":4},{"info":"number node, value=1560","layer":4},{"info":"compute binary expreesion, left_input=1992, right_input=1560, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=1161","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1161, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1161","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1161, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩(⇁⨣⪵∃⊬CE7⪘⫢∃⊬464)⨪↰⇹(∃⊬61A∑⇟⊟∃⊬607⨎(∃⊬7C8⋥≓≎∃⊬618))=NaN","reverse_text":"NaN=⊄⩳↩(⇁⨣⪵∃⊬CE7⪘⫢∃⊬464)⨪↰⇹(∃⊬61A∑⇟⊟∃⊬607⨎(∃⊬7C8⋥≓≎∃⊬618))","cot":[{"info":"∃⊬CE7⪘⫢∃⊬464=∃⊬1952","layer":3},{"info":"⇁⨣⪵∃⊬1952=NaN","layer":2},{"info":"∃⊬61A∑⇟⊟∃⊬607=NaN","layer":3},{"info":"∃⊬7C8⋥≓≎∃⊬618=∃⊬489","layer":3},{"info":"NaN⨎∃⊬489=∃⊬489","layer":2},{"info":"NaN⨪↰⇹∃⊬489=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":850,"expression_no_base_symbol":"(↣≠⋷($5438$⪛$4433$))⋝⋈⪟((≦∁$2193$)⫸⊐$3731$⩚⊴⇥$1898$)≧⫂∧($1103$≎⊠⪸$1190$⪒$2979$⩨$4066$⨵⪆(↽≂$7514$)∑⇟⊟($1272$⋫))","expression":"(↣≠⋷(∃⊬153E⪛∃⊬1151))⋝⋈⪟((≦∁∃⊬891)⫸⊐∃⊬E93⩚⊴⇥∃⊬76A)≧⫂∧(∃⊬44F≎⊠⪸∃⊬4A6⪒∃⊬BA3⩨∃⊬FE2⨵⪆(↽≂∃⊬1D5A)∑⇟⊟(∃⊬4F8⋫))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1591,"operation_count":14,"complexity_ratio":113.64285714285714,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5438,"base":16},"right_expr":{"type":"numeric_atoms","value":4433,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2193,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":3731,"base":16},"right_expr":{"type":"numeric_atoms","value":1898,"base":16}}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1103,"base":16},"right_expr":{"type":"numeric_atoms","value":1190,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":2979,"base":16},"right_expr":{"type":"numeric_atoms","value":4066,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":7514,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":1272,"base":16}}}}},"used_operators":["Ph9nP6C5qx","2DDjHMKMc0","Asc51vEJeQ","uFcxV4UQCh","mqXw5SEYmG","9ICcGScMcE","NTOWxs364D","2DQ55sFlQl","f6k1SAg4EE","bJkvcejdHO","2DlMacCsIx","U7g4x0WXJJ","u6S6b8DprG","JL8yIekQnl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x"],"result":"∃⊬-139","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5438","layer":4},{"info":"number node, value=4433","layer":4},{"info":"compute binary expreesion, left_input=5438, right_input=4433, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1005","layer":3},{"info":"compute unary expreesion, input=1005, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2193","layer":4},{"info":"compute unary expreesion, input=2193, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2193","layer":3},{"info":"number node, value=3731","layer":4},{"info":"number node, value=1898","layer":4},{"info":"compute binary expreesion, left_input=3731, right_input=1898, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5750","layer":3},{"info":"compute binary expreesion, left_input=2193, right_input=-5750, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-11629","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-11629, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1103","layer":4},{"info":"number node, value=1190","layer":4},{"info":"compute binary expreesion, left_input=1103, right_input=1190, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=285204","layer":3},{"info":"number node, value=2979","layer":4},{"info":"number node, value=4066","layer":4},{"info":"compute binary expreesion, left_input=2979, right_input=4066, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=285204, right_input=-3, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-285201","layer":2},{"info":"number node, value=7514","layer":4},{"info":"compute unary expreesion, input=7514, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-15028","layer":3},{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=1272","layer":3},{"info":"compute binary expreesion, left_input=-15028, right_input=1272, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-285201, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-313","layer":0}],"base":16,"result_base":16,"text":"(↣≠⋷(∃⊬153E⪛∃⊬1151))⋝⋈⪟((≦∁∃⊬891)⫸⊐∃⊬E93⩚⊴⇥∃⊬76A)≧⫂∧(∃⊬44F≎⊠⪸∃⊬4A6⪒∃⊬BA3⩨∃⊬FE2⨵⪆(↽≂∃⊬1D5A)∑⇟⊟(∃⊬4F8⋫))=∃⊬-139","reverse_text":"∃⊬-139=(↣≠⋷(∃⊬153E⪛∃⊬1151))⋝⋈⪟((≦∁∃⊬891)⫸⊐∃⊬E93⩚⊴⇥∃⊬76A)≧⫂∧(∃⊬44F≎⊠⪸∃⊬4A6⪒∃⊬BA3⩨∃⊬FE2⨵⪆(↽≂∃⊬1D5A)∑⇟⊟(∃⊬4F8⋫))","cot":[{"info":"∃⊬153E⪛∃⊬1151=∃⊬3ED","layer":3},{"info":"↣≠⋷∃⊬3ED=NaN","layer":2},{"info":"≦∁∃⊬891=∃⊬891","layer":3},{"info":"∃⊬E93⩚⊴⇥∃⊬76A=∃⊬-1676","layer":3},{"info":"∃⊬891⫸⊐∃⊬-1676=∃⊬-2D6D","layer":2},{"info":"NaN⋝⋈⪟∃⊬-2D6D=NaN","layer":1},{"info":"∃⊬44F≎⊠⪸∃⊬4A6=∃⊬45A14","layer":3},{"info":"∃⊬BA3⩨∃⊬FE2=∃⊬-3","layer":3},{"info":"∃⊬45A14⪒∃⊬-3=∃⊬-45A11","layer":2},{"info":"↽≂∃⊬1D5A=∃⊬-3AB4","layer":3},{"info":"∃⊬4F8⋫=∃⊬4F8","layer":3},{"info":"∃⊬-3AB4∑⇟⊟∃⊬4F8=NaN","layer":2},{"info":"∃⊬-45A11⨵⪆NaN=∃⊬A0","layer":1},{"info":"NaN≧⫂∧∃⊬A0=∃⊬-139","layer":0}]}
{"id":851,"expression_no_base_symbol":"⇁⨣⪵(⩦⩻⨪(↣≠⋷$3476$)∀⇚≩($2172$⫩⊇))","expression":"⇁⨣⪵(⩦⩻⨪(↣≠⋷∃⊬D94)∀⇚≩(∃⊬87C⫩⊇))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":10,"operation_count":5,"complexity_ratio":2.0,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3476,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2172,"base":16}}}}},"used_operators":["inkyxCbjAn","2td37pGCOC","LRNGc0VcxI","Asc51vEJeQ","BjRHVeLaeN"],"dependent_operators":["B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3476","layer":4},{"info":"compute unary expreesion, input=3476, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=2172","layer":4},{"info":"compute unary expreesion, input=2172, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-2130","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2130, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(⩦⩻⨪(↣≠⋷∃⊬D94)∀⇚≩(∃⊬87C⫩⊇))=NaN","reverse_text":"NaN=⇁⨣⪵(⩦⩻⨪(↣≠⋷∃⊬D94)∀⇚≩(∃⊬87C⫩⊇))","cot":[{"info":"↣≠⋷∃⊬D94=NaN","layer":3},{"info":"∃⊬87C⫩⊇=∃⊬-852","layer":3},{"info":"NaN∀⇚≩∃⊬-852=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":852,"expression_no_base_symbol":"(↩($1851$+$7220$)⪄($1364$≋⫹))⊭↱(($1703$⨵⪆$1308$)*(≤/$1563$))≭($6026$⨸⪁$2501$)⨰($3672$⊠≄⫣)","expression":"(↩(∃⊬73B+∃⊬1C34)⪄(∃⊬554≋⫹))⊭↱((∃⊬6A7⨵⪆∃⊬51C)*(≤/∃⊬61B))≭(∃⊬178A⨸⪁∃⊬9C5)⨰(∃⊬E58⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":299,"operation_count":12,"complexity_ratio":24.916666666666668,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1851,"base":16},"right_expr":{"type":"numeric_atoms","value":7220,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1364,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1703,"base":16},"right_expr":{"type":"numeric_atoms","value":1308,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":1563,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6026,"base":16},"right_expr":{"type":"numeric_atoms","value":2501,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3672,"base":16}}}}},"used_operators":["COABgblf1C","jLgFTUHLKL","SUmda5xLS4","W4YGzv6Whe","N41Kp7NANJ","rxpJgHHUmx","9HNa5Wba9A","2DQ55sFlQl","eLAdDNolq6","eewbuw0ToL","g55IO6H4Gj","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1851","layer":4},{"info":"number node, value=7220","layer":4},{"info":"compute binary expreesion, left_input=1851, right_input=7220, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9071","layer":3},{"info":"number node, value=1364","layer":4},{"info":"compute unary expreesion, input=1364, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2728","layer":3},{"info":"compute binary expreesion, left_input=9071, right_input=-2728, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1327685","layer":2},{"info":"compute unary expreesion, input=-1327685, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5313360","layer":1},{"info":"number node, value=1703","layer":4},{"info":"number node, value=1308","layer":4},{"info":"compute binary expreesion, left_input=1703, right_input=1308, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1563","layer":4},{"info":"compute unary expreesion, input=1563, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1079","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-1079, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-172640","layer":2},{"info":"number node, value=6026","layer":4},{"info":"number node, value=2501","layer":4},{"info":"compute binary expreesion, left_input=6026, right_input=2501, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=17054","layer":3},{"info":"number node, value=3672","layer":4},{"info":"compute unary expreesion, input=3672, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=17054, right_input=0, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=17064","layer":2},{"info":"compute binary expreesion, left_input=-172640, right_input=17064, 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=5313360, 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":"(↩(∃⊬73B+∃⊬1C34)⪄(∃⊬554≋⫹))⊭↱((∃⊬6A7⨵⪆∃⊬51C)*(≤/∃⊬61B))≭(∃⊬178A⨸⪁∃⊬9C5)⨰(∃⊬E58⊠≄⫣)=NaN","reverse_text":"NaN=(↩(∃⊬73B+∃⊬1C34)⪄(∃⊬554≋⫹))⊭↱((∃⊬6A7⨵⪆∃⊬51C)*(≤/∃⊬61B))≭(∃⊬178A⨸⪁∃⊬9C5)⨰(∃⊬E58⊠≄⫣)","cot":[{"info":"∃⊬73B+∃⊬1C34=∃⊬236F","layer":3},{"info":"∃⊬554≋⫹=∃⊬-AA8","layer":3},{"info":"∃⊬236F⪄∃⊬-AA8=∃⊬-144245","layer":2},{"info":"↩∃⊬-144245=∃⊬511350","layer":1},{"info":"∃⊬6A7⨵⪆∃⊬51C=∃⊬A0","layer":3},{"info":"≤/∃⊬61B=∃⊬-437","layer":3},{"info":"∃⊬A0*∃⊬-437=∃⊬-2A260","layer":2},{"info":"∃⊬178A⨸⪁∃⊬9C5=∃⊬429E","layer":3},{"info":"∃⊬E58⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬429E⨰∃⊬0=∃⊬42A8","layer":2},{"info":"∃⊬-2A260≭∃⊬42A8=NaN","layer":1},{"info":"∃⊬511350⊭↱NaN=NaN","layer":0}]}
{"id":853,"expression_no_base_symbol":"((⨑⩽⪐($3494$⩨$6097$))∲⫓(⋗⩬⋾($2214$≋⫹)))⨟⋌⩍(($7321$≧⫂∧$3702$⪒$6845$⋝⋈⪟$4245$)≧⫂∧(($4742$⇋≉)⩨$2690$⫥∨⫟$1279$))","expression":"((⨑⩽⪐(∃⊬DA6⩨∃⊬17D1))∲⫓(⋗⩬⋾(∃⊬8A6≋⫹)))⨟⋌⩍((∃⊬1C99≧⫂∧∃⊬E76⪒∃⊬1ABD⋝⋈⪟∃⊬1095)≧⫂∧((∃⊬1286⇋≉)⩨∃⊬A82⫥∨⫟∃⊬4FF))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":189,"operation_count":13,"complexity_ratio":14.538461538461538,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3494,"base":16},"right_expr":{"type":"numeric_atoms","value":6097,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2214,"base":16}}}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":7321,"base":16},"right_expr":{"type":"numeric_atoms","value":3702,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":6845,"base":16},"right_expr":{"type":"numeric_atoms","value":4245,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":4742,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2690,"base":16},"right_expr":{"type":"numeric_atoms","value":1279,"base":16}}}}},"used_operators":["rGHVDoGpnC","i8ToyICDmI","AF7qkfDlqP","2DlMacCsIx","DpFCA1CohY","N41Kp7NANJ","Ph9nP6C5qx","f6k1SAg4EE","2DDjHMKMc0","XIabStNQrY","KYD54nUTWz"],"dependent_operators":["Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3494","layer":4},{"info":"number node, value=6097","layer":4},{"info":"compute binary expreesion, left_input=3494, right_input=6097, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=795","layer":2},{"info":"number node, value=2214","layer":4},{"info":"compute unary expreesion, input=2214, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4428","layer":3},{"info":"compute unary expreesion, input=-4428, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=13284","layer":2},{"info":"compute binary expreesion, left_input=795, right_input=13284, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=7321","layer":4},{"info":"number node, value=3702","layer":4},{"info":"compute binary expreesion, left_input=7321, right_input=3702, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3229","layer":3},{"info":"number node, value=6845","layer":4},{"info":"number node, value=4245","layer":4},{"info":"compute binary expreesion, left_input=6845, right_input=4245, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=6845","layer":3},{"info":"compute binary expreesion, left_input=3229, right_input=6845, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10074","layer":2},{"info":"number node, value=4742","layer":4},{"info":"compute unary expreesion, input=4742, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=9386","layer":3},{"info":"number node, value=2690","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=2690, right_input=1279, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9386, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-10074, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"((⨑⩽⪐(∃⊬DA6⩨∃⊬17D1))∲⫓(⋗⩬⋾(∃⊬8A6≋⫹)))⨟⋌⩍((∃⊬1C99≧⫂∧∃⊬E76⪒∃⊬1ABD⋝⋈⪟∃⊬1095)≧⫂∧((∃⊬1286⇋≉)⩨∃⊬A82⫥∨⫟∃⊬4FF))=NaN","reverse_text":"NaN=((⨑⩽⪐(∃⊬DA6⩨∃⊬17D1))∲⫓(⋗⩬⋾(∃⊬8A6≋⫹)))⨟⋌⩍((∃⊬1C99≧⫂∧∃⊬E76⪒∃⊬1ABD⋝⋈⪟∃⊬1095)≧⫂∧((∃⊬1286⇋≉)⩨∃⊬A82⫥∨⫟∃⊬4FF))","cot":[{"info":"∃⊬DA6⩨∃⊬17D1=∃⊬-3","layer":3},{"info":"⨑⩽⪐∃⊬-3=∃⊬31B","layer":2},{"info":"∃⊬8A6≋⫹=∃⊬-114C","layer":3},{"info":"⋗⩬⋾∃⊬-114C=∃⊬33E4","layer":2},{"info":"∃⊬31B∲⫓∃⊬33E4=∃⊬0","layer":1},{"info":"∃⊬1C99≧⫂∧∃⊬E76=∃⊬C9D","layer":3},{"info":"∃⊬1ABD⋝⋈⪟∃⊬1095=∃⊬1ABD","layer":3},{"info":"∃⊬C9D⪒∃⊬1ABD=∃⊬-275A","layer":2},{"info":"∃⊬1286⇋≉=∃⊬24AA","layer":3},{"info":"∃⊬A82⫥∨⫟∃⊬4FF=NaN","layer":3},{"info":"∃⊬24AA⩨NaN=NaN","layer":2},{"info":"∃⊬-275A≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬0⨟⋌⩍NaN=NaN","layer":0}]}
{"id":854,"expression_no_base_symbol":"(($5754$⩚⊴⇥$1493$)⊴($4060$*$2106$)⪨≂$4332$⫥∨⫟$4393$⨳⩥⨓$1763$⨽$3379$)⊠≄⫣","expression":"((∃⊬167A⩚⊴⇥∃⊬5D5)⊴(∃⊬FDC*∃⊬83A)⪨≂∃⊬10EC⫥∨⫟∃⊬1129⨳⩥⨓∃⊬6E3⨽∃⊬D33)⊠≄⫣","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4053,"operation_count":8,"complexity_ratio":506.625,"tree":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":5754,"base":16},"right_expr":{"type":"numeric_atoms","value":1493,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":4060,"base":16},"right_expr":{"type":"numeric_atoms","value":2106,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":4332,"base":16},"right_expr":{"type":"numeric_atoms","value":4393,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1763,"base":16},"right_expr":{"type":"numeric_atoms","value":3379,"base":16}}}}},"used_operators":["DIvbN7qnHd","sdazOOVcIp","Nsiff2A1zJ","NTOWxs364D","9HNa5Wba9A","nCS4ZIUYfx","KYD54nUTWz","8HhzD0ZcuI"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5754","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=5754, right_input=1493, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-7368","layer":3},{"info":"number node, value=4060","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=4060, right_input=2106, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=8550360","layer":3},{"info":"compute binary expreesion, left_input=-7368, right_input=8550360, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=4332","layer":4},{"info":"number node, value=4393","layer":4},{"info":"compute binary expreesion, left_input=4332, right_input=4393, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1763","layer":4},{"info":"number node, value=3379","layer":4},{"info":"compute binary expreesion, left_input=1763, right_input=3379, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-9333330","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9333330, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬167A⩚⊴⇥∃⊬5D5)⊴(∃⊬FDC*∃⊬83A)⪨≂∃⊬10EC⫥∨⫟∃⊬1129⨳⩥⨓∃⊬6E3⨽∃⊬D33)⊠≄⫣=NaN","reverse_text":"NaN=((∃⊬167A⩚⊴⇥∃⊬5D5)⊴(∃⊬FDC*∃⊬83A)⪨≂∃⊬10EC⫥∨⫟∃⊬1129⨳⩥⨓∃⊬6E3⨽∃⊬D33)⊠≄⫣","cot":[{"info":"∃⊬167A⩚⊴⇥∃⊬5D5=∃⊬-1CC8","layer":3},{"info":"∃⊬FDC*∃⊬83A=∃⊬8277D8","layer":3},{"info":"∃⊬-1CC8⊴∃⊬8277D8=NaN","layer":2},{"info":"∃⊬10EC⫥∨⫟∃⊬1129=NaN","layer":3},{"info":"∃⊬6E3⨽∃⊬D33=∃⊬-8E6A52","layer":3},{"info":"NaN⨳⩥⨓∃⊬-8E6A52=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⊠≄⫣=NaN","layer":0}]}
{"id":855,"expression_no_base_symbol":"($2076$⨵⪆$2356$⨵⪆$2182$≧⫂∧$3351$)≹⇙⪍($1006$⨐⩸⫘$2558$⪄$2571$⪄$1986$)⩠","expression":"(∃⊬81C⨵⪆∃⊬934⨵⪆∃⊬886≧⫂∧∃⊬D17)≹⇙⪍(∃⊬3EE⨐⩸⫘∃⊬9FE⪄∃⊬A0B⪄∃⊬7C2)⩠","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":139,"operation_count":8,"complexity_ratio":17.375,"tree":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2076,"base":16},"right_expr":{"type":"numeric_atoms","value":2356,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2182,"base":16},"right_expr":{"type":"numeric_atoms","value":3351,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1006,"base":16},"right_expr":{"type":"numeric_atoms","value":2558,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2571,"base":16},"right_expr":{"type":"numeric_atoms","value":1986,"base":16}}}}},"used_operators":["sJAwomhLZr","AHs5Up7iyr","2DQ55sFlQl","Ph9nP6C5qx","SUmda5xLS4","fu6greOZ01"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2076","layer":4},{"info":"number node, value=2356","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=2356, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2182","layer":4},{"info":"number node, value=3351","layer":4},{"info":"compute binary expreesion, left_input=2182, right_input=3351, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2878","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=2878, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=1006","layer":4},{"info":"number node, value=2558","layer":4},{"info":"compute binary expreesion, left_input=1006, right_input=2558, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2571","layer":4},{"info":"number node, value=1986","layer":4},{"info":"compute binary expreesion, left_input=2571, right_input=1986, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-384541","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-384541, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=3979, 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 = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬81C⨵⪆∃⊬934⨵⪆∃⊬886≧⫂∧∃⊬D17)≹⇙⪍(∃⊬3EE⨐⩸⫘∃⊬9FE⪄∃⊬A0B⪄∃⊬7C2)⩠=NaN","reverse_text":"NaN=(∃⊬81C⨵⪆∃⊬934⨵⪆∃⊬886≧⫂∧∃⊬D17)≹⇙⪍(∃⊬3EE⨐⩸⫘∃⊬9FE⪄∃⊬A0B⪄∃⊬7C2)⩠","cot":[{"info":"∃⊬81C⨵⪆∃⊬934=∃⊬A0","layer":3},{"info":"∃⊬886≧⫂∧∃⊬D17=∃⊬B3E","layer":3},{"info":"∃⊬A0⨵⪆∃⊬B3E=∃⊬A0","layer":2},{"info":"∃⊬3EE⨐⩸⫘∃⊬9FE=NaN","layer":3},{"info":"∃⊬A0B⪄∃⊬7C2=∃⊬-5DE1D","layer":3},{"info":"NaN⪄∃⊬-5DE1D=∃⊬F8B","layer":2},{"info":"∃⊬A0≹⇙⪍∃⊬F8B=NaN","layer":1},{"info":"NaN⩠=NaN","layer":0}]}
{"id":856,"expression_no_base_symbol":"($1402$⇷$2733$⊦⊿)⨪↰⇹($1502$⇷$3810$)⪢$9200$⨟⋌⩍$3146$⋥≓≎((⊄⩳↩$5743$)⨰($3656$⨎$1051$)%(↽≂$2504$)∀⇚≩($2975$⨵⪆$1105$))","expression":"(∃⊬57A⇷∃⊬AAD⊦⊿)⨪↰⇹(∃⊬5DE⇷∃⊬EE2)⪢∃⊬23F0⨟⋌⩍∃⊬C4A⋥≓≎((⊄⩳↩∃⊬166F)⨰(∃⊬E48⨎∃⊬41B)%(↽≂∃⊬9C8)∀⇚≩(∃⊬B9F⨵⪆∃⊬451))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":92228,"operation_count":14,"complexity_ratio":6587.714285714285,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1402,"base":16},"right_expr":{"type":"numeric_atoms","value":2733,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1502,"base":16},"right_expr":{"type":"numeric_atoms","value":3810,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":9200,"base":16},"right_expr":{"type":"numeric_atoms","value":3146,"base":16}}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":5743,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":3656,"base":16},"right_expr":{"type":"numeric_atoms","value":1051,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":2504,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2975,"base":16},"right_expr":{"type":"numeric_atoms","value":1105,"base":16}}}}},"used_operators":["Qy55tPpLXF","tmPS8pqC7x","14qkJME0vr","mp7IySMOzn","dWAJyo7jo9","rGHVDoGpnC","k8jYdgA6NY","eewbuw0ToL","8w2t5hMYqp","rJVOvQCfKK","LRNGc0VcxI","u6S6b8DprG","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1402","layer":4},{"info":"number node, value=2733","layer":4},{"info":"compute binary expreesion, left_input=1402, right_input=2733, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5466","layer":3},{"info":"compute unary expreesion, input=5466, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-16477","layer":2},{"info":"number node, value=1502","layer":4},{"info":"number node, value=3810","layer":4},{"info":"compute binary expreesion, left_input=1502, right_input=3810, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7620","layer":3},{"info":"number node, value=9200","layer":4},{"info":"number node, value=3146","layer":4},{"info":"compute binary expreesion, left_input=9200, right_input=3146, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=7620, right_input=nan, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16477, 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=16477","layer":1},{"info":"number node, value=5743","layer":4},{"info":"compute unary expreesion, input=5743, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-17229","layer":3},{"info":"number node, value=3656","layer":4},{"info":"number node, value=1051","layer":4},{"info":"compute binary expreesion, left_input=3656, right_input=1051, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1051","layer":3},{"info":"compute binary expreesion, left_input=-17229, right_input=1051, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-18270","layer":2},{"info":"number node, value=2504","layer":4},{"info":"compute unary expreesion, input=2504, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-5008","layer":3},{"info":"number node, value=2975","layer":4},{"info":"number node, value=1105","layer":4},{"info":"compute binary expreesion, left_input=2975, right_input=1105, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-5008, right_input=160, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-18270, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=16477, 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":"(∃⊬57A⇷∃⊬AAD⊦⊿)⨪↰⇹(∃⊬5DE⇷∃⊬EE2)⪢∃⊬23F0⨟⋌⩍∃⊬C4A⋥≓≎((⊄⩳↩∃⊬166F)⨰(∃⊬E48⨎∃⊬41B)%(↽≂∃⊬9C8)∀⇚≩(∃⊬B9F⨵⪆∃⊬451))=NaN","reverse_text":"NaN=(∃⊬57A⇷∃⊬AAD⊦⊿)⨪↰⇹(∃⊬5DE⇷∃⊬EE2)⪢∃⊬23F0⨟⋌⩍∃⊬C4A⋥≓≎((⊄⩳↩∃⊬166F)⨰(∃⊬E48⨎∃⊬41B)%(↽≂∃⊬9C8)∀⇚≩(∃⊬B9F⨵⪆∃⊬451))","cot":[{"info":"∃⊬57A⇷∃⊬AAD=∃⊬155A","layer":3},{"info":"∃⊬155A⊦⊿=∃⊬-405D","layer":2},{"info":"∃⊬5DE⇷∃⊬EE2=∃⊬1DC4","layer":3},{"info":"∃⊬23F0⨟⋌⩍∃⊬C4A=NaN","layer":3},{"info":"∃⊬1DC4⪢NaN=NaN","layer":2},{"info":"∃⊬-405D⨪↰⇹NaN=∃⊬405D","layer":1},{"info":"⊄⩳↩∃⊬166F=∃⊬-434D","layer":3},{"info":"∃⊬E48⨎∃⊬41B=∃⊬41B","layer":3},{"info":"∃⊬-434D⨰∃⊬41B=∃⊬-475E","layer":2},{"info":"↽≂∃⊬9C8=∃⊬-1390","layer":3},{"info":"∃⊬B9F⨵⪆∃⊬451=∃⊬A0","layer":3},{"info":"∃⊬-1390∀⇚≩∃⊬A0=NaN","layer":2},{"info":"∃⊬-475E%NaN=NaN","layer":1},{"info":"∃⊬405D⋥≓≎NaN=NaN","layer":0}]}
{"id":857,"expression_no_base_symbol":"(($4035$⨪↰⇹$6139$⪒$2642$⨰$1641$)≧⫂∧(∥⊫(≉$4631$)))∧","expression":"((∃⊬FC3⨪↰⇹∃⊬17FB⪒∃⊬A52⨰∃⊬669)≧⫂∧(∥⊫(≉∃⊬1217)))∧","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":4057,"operation_count":7,"complexity_ratio":579.5714285714286,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":4035,"base":16},"right_expr":{"type":"numeric_atoms","value":6139,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2642,"base":16},"right_expr":{"type":"numeric_atoms","value":1641,"base":16}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":4631,"base":16}}}}},"used_operators":["z63VuFQld9","Ph9nP6C5qx","f6k1SAg4EE","tmPS8pqC7x","eewbuw0ToL","P8v4zCKN1o","e1ybzncUwg"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4035","layer":4},{"info":"number node, value=6139","layer":4},{"info":"compute binary expreesion, left_input=4035, right_input=6139, 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=4035","layer":3},{"info":"number node, value=2642","layer":4},{"info":"number node, value=1641","layer":4},{"info":"compute binary expreesion, left_input=2642, right_input=1641, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1011","layer":3},{"info":"compute binary expreesion, left_input=4035, right_input=1011, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5046","layer":2},{"info":"number node, value=4631","layer":4},{"info":"compute unary expreesion, input=4631, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5162","layer":3},{"info":"compute unary expreesion, input=5162, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=6030","layer":2},{"info":"compute binary expreesion, left_input=-5046, right_input=6030, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5557","layer":1},{"info":"compute unary expreesion, input=5557, 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":"((∃⊬FC3⨪↰⇹∃⊬17FB⪒∃⊬A52⨰∃⊬669)≧⫂∧(∥⊫(≉∃⊬1217)))∧=NaN","reverse_text":"NaN=((∃⊬FC3⨪↰⇹∃⊬17FB⪒∃⊬A52⨰∃⊬669)≧⫂∧(∥⊫(≉∃⊬1217)))∧","cot":[{"info":"∃⊬FC3⨪↰⇹∃⊬17FB=∃⊬FC3","layer":3},{"info":"∃⊬A52⨰∃⊬669=∃⊬3F3","layer":3},{"info":"∃⊬FC3⪒∃⊬3F3=∃⊬-13B6","layer":2},{"info":"≉∃⊬1217=∃⊬142A","layer":3},{"info":"∥⊫∃⊬142A=∃⊬178E","layer":2},{"info":"∃⊬-13B6≧⫂∧∃⊬178E=∃⊬15B5","layer":1},{"info":"∃⊬15B5∧=NaN","layer":0}]}
{"id":858,"expression_no_base_symbol":"(($1173$≹⇙⪍$2903$⨐⩸⫘($1089$↙$2412$))⨎(($3062$⨸⪁$3312$)≫≃))⨟⋌⩍((⪝⪂⫅$3424$)⊴($6679$⨓$1322$)/(↯⪼($2167$↬$2059$)))","expression":"((∃⊬495≹⇙⪍∃⊬B57⨐⩸⫘(∃⊬441↙∃⊬96C))⨎((∃⊬BF6⨸⪁∃⊬CF0)≫≃))⨟⋌⩍((⪝⪂⫅∃⊬D60)⊴(∃⊬1A17⨓∃⊬52A)/(↯⪼(∃⊬877↬∃⊬80B)))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":25613,"operation_count":13,"complexity_ratio":1970.2307692307693,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1173,"base":16},"right_expr":{"type":"numeric_atoms","value":2903,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1089,"base":16},"right_expr":{"type":"numeric_atoms","value":2412,"base":16}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3062,"base":16},"right_expr":{"type":"numeric_atoms","value":3312,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":3424,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6679,"base":16},"right_expr":{"type":"numeric_atoms","value":1322,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2167,"base":16},"right_expr":{"type":"numeric_atoms","value":2059,"base":16}}}}},"used_operators":["rGHVDoGpnC","rJVOvQCfKK","fu6greOZ01","AHs5Up7iyr","yyfyN0ffXY","X99M06cbEe","g55IO6H4Gj","XhwjNDsVaA","Nsiff2A1zJ","XTarYq4gQB","3ViojmjbAp","8jW3W4yZS5","B5M0gjZbta"],"dependent_operators":["Tcnh7f0tEr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","8w2t5hMYqp","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1173","layer":4},{"info":"number node, value=2903","layer":4},{"info":"compute binary expreesion, left_input=1173, right_input=2903, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1089","layer":4},{"info":"number node, value=2412","layer":4},{"info":"compute binary expreesion, left_input=1089, right_input=2412, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-7236","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-7236, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3062","layer":4},{"info":"number node, value=3312","layer":4},{"info":"compute binary expreesion, left_input=3062, right_input=3312, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=12748","layer":3},{"info":"compute unary expreesion, input=12748, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=26897","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=26897, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=26897","layer":1},{"info":"number node, value=3424","layer":4},{"info":"compute unary expreesion, input=3424, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-503328","layer":3},{"info":"number node, value=6679","layer":4},{"info":"number node, value=1322","layer":4},{"info":"compute binary expreesion, left_input=6679, right_input=1322, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1325","layer":3},{"info":"compute binary expreesion, left_input=-503328, right_input=-1325, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"number node, value=2167","layer":4},{"info":"number node, value=2059","layer":4},{"info":"compute binary expreesion, left_input=2167, right_input=2059, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=26897, 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":"((∃⊬495≹⇙⪍∃⊬B57⨐⩸⫘(∃⊬441↙∃⊬96C))⨎((∃⊬BF6⨸⪁∃⊬CF0)≫≃))⨟⋌⩍((⪝⪂⫅∃⊬D60)⊴(∃⊬1A17⨓∃⊬52A)/(↯⪼(∃⊬877↬∃⊬80B)))=NaN","reverse_text":"NaN=((∃⊬495≹⇙⪍∃⊬B57⨐⩸⫘(∃⊬441↙∃⊬96C))⨎((∃⊬BF6⨸⪁∃⊬CF0)≫≃))⨟⋌⩍((⪝⪂⫅∃⊬D60)⊴(∃⊬1A17⨓∃⊬52A)/(↯⪼(∃⊬877↬∃⊬80B)))","cot":[{"info":"∃⊬495≹⇙⪍∃⊬B57=NaN","layer":3},{"info":"∃⊬441↙∃⊬96C=∃⊬-1C44","layer":3},{"info":"NaN⨐⩸⫘∃⊬-1C44=NaN","layer":2},{"info":"∃⊬BF6⨸⪁∃⊬CF0=∃⊬31CC","layer":3},{"info":"∃⊬31CC≫≃=∃⊬6911","layer":2},{"info":"NaN⨎∃⊬6911=∃⊬6911","layer":1},{"info":"⪝⪂⫅∃⊬D60=∃⊬-7AE20","layer":3},{"info":"∃⊬1A17⨓∃⊬52A=∃⊬-52D","layer":3},{"info":"∃⊬-7AE20⊴∃⊬-52D=NaN","layer":2},{"info":"∃⊬877↬∃⊬80B=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"NaN/∃⊬-15=NaN","layer":1},{"info":"∃⊬6911⨟⋌⩍NaN=NaN","layer":0}]}
{"id":859,"expression_no_base_symbol":"($1946$↙$4567$)↬(⋗⩬⋾$3328$)⋓(⪝⪂⫅$2061$∼$6878$)⫌⩹⨱","expression":"(∃⊬79A↙∃⊬11D7)↬(⋗⩬⋾∃⊬D00)⋓(⪝⪂⫅∃⊬80D∼∃⊬1ADE)⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4640,"operation_count":7,"complexity_ratio":662.8571428571429,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1946,"base":16},"right_expr":{"type":"numeric_atoms","value":4567,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3328,"base":16}}},"right_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2061,"base":16},"right_expr":{"type":"numeric_atoms","value":6878,"base":16}}}}},"used_operators":["EBcxylXtPf","T2fj7uvVaJ","B5M0gjZbta","yyfyN0ffXY","DpFCA1CohY","XTarYq4gQB","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1946","layer":4},{"info":"number node, value=4567","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=4567, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13701","layer":3},{"info":"number node, value=3328","layer":4},{"info":"compute unary expreesion, input=3328, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-9984","layer":3},{"info":"compute binary expreesion, left_input=-13701, right_input=-9984, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2061","layer":4},{"info":"number node, value=6878","layer":4},{"info":"compute binary expreesion, left_input=2061, right_input=6878, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":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":"(∃⊬79A↙∃⊬11D7)↬(⋗⩬⋾∃⊬D00)⋓(⪝⪂⫅∃⊬80D∼∃⊬1ADE)⫌⩹⨱=NaN","reverse_text":"NaN=(∃⊬79A↙∃⊬11D7)↬(⋗⩬⋾∃⊬D00)⋓(⪝⪂⫅∃⊬80D∼∃⊬1ADE)⫌⩹⨱","cot":[{"info":"∃⊬79A↙∃⊬11D7=∃⊬-3585","layer":3},{"info":"⋗⩬⋾∃⊬D00=∃⊬-2700","layer":3},{"info":"∃⊬-3585↬∃⊬-2700=NaN","layer":2},{"info":"∃⊬80D∼∃⊬1ADE=NaN","layer":3},{"info":"⪝⪂⫅NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":860,"expression_no_base_symbol":"((≉($1199$⇼⇔∾$6068$))⋥≓≎((≦∁$6644$)≋⫹))⊴($2728$⪢$2192$≧⫂∧($4577$⩤)⫡⨏(⇁⨣⪵$7180$⨎$7440$))","expression":"((≉(∃⊬4AF⇼⇔∾∃⊬17B4))⋥≓≎((≦∁∃⊬19F4)≋⫹))⊴(∃⊬AA8⪢∃⊬890≧⫂∧(∃⊬11E1⩤)⫡⨏(⇁⨣⪵∃⊬1C0C⨎∃⊬1D10))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":2689,"operation_count":12,"complexity_ratio":224.08333333333334,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1199,"base":16},"right_expr":{"type":"numeric_atoms","value":6068,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":6644,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":2728,"base":16},"right_expr":{"type":"numeric_atoms","value":2192,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4577,"base":16}}},"right_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7180,"base":16},"right_expr":{"type":"numeric_atoms","value":7440,"base":16}}}}},"used_operators":["Nsiff2A1zJ","Qy55tPpLXF","e1ybzncUwg","tifHPKVTfV","N41Kp7NANJ","9ICcGScMcE","QMFrweE19q","Ph9nP6C5qx","dWAJyo7jo9","Z2TMIBDE3Q","inkyxCbjAn","rJVOvQCfKK"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=6068","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=6068, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=4869","layer":3},{"info":"compute unary expreesion, input=4869, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=5400","layer":2},{"info":"number node, value=6644","layer":4},{"info":"compute unary expreesion, input=6644, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=6644","layer":3},{"info":"compute unary expreesion, input=6644, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-13288","layer":2},{"info":"compute binary expreesion, left_input=5400, right_input=-13288, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-31943","layer":1},{"info":"number node, value=2728","layer":4},{"info":"number node, value=2192","layer":4},{"info":"compute binary expreesion, left_input=2728, right_input=2192, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4577","layer":4},{"info":"compute unary expreesion, input=4577, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4577","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-4577, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"number node, value=7180","layer":4},{"info":"number node, value=7440","layer":4},{"info":"compute binary expreesion, left_input=7180, right_input=7440, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7440","layer":3},{"info":"compute unary expreesion, input=7440, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-31943, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((≉(∃⊬4AF⇼⇔∾∃⊬17B4))⋥≓≎((≦∁∃⊬19F4)≋⫹))⊴(∃⊬AA8⪢∃⊬890≧⫂∧(∃⊬11E1⩤)⫡⨏(⇁⨣⪵∃⊬1C0C⨎∃⊬1D10))=NaN","reverse_text":"NaN=((≉(∃⊬4AF⇼⇔∾∃⊬17B4))⋥≓≎((≦∁∃⊬19F4)≋⫹))⊴(∃⊬AA8⪢∃⊬890≧⫂∧(∃⊬11E1⩤)⫡⨏(⇁⨣⪵∃⊬1C0C⨎∃⊬1D10))","cot":[{"info":"∃⊬4AF⇼⇔∾∃⊬17B4=∃⊬1305","layer":3},{"info":"≉∃⊬1305=∃⊬1518","layer":2},{"info":"≦∁∃⊬19F4=∃⊬19F4","layer":3},{"info":"∃⊬19F4≋⫹=∃⊬-33E8","layer":2},{"info":"∃⊬1518⋥≓≎∃⊬-33E8=∃⊬-7CC7","layer":1},{"info":"∃⊬AA8⪢∃⊬890=NaN","layer":3},{"info":"∃⊬11E1⩤=∃⊬-11E1","layer":3},{"info":"NaN≧⫂∧∃⊬-11E1=NaN","layer":2},{"info":"∃⊬1C0C⨎∃⊬1D10=∃⊬1D10","layer":3},{"info":"⇁⨣⪵∃⊬1D10=NaN","layer":2},{"info":"NaN⫡⨏NaN=NaN","layer":1},{"info":"∃⊬-7CC7⊴NaN=NaN","layer":0}]}
{"id":861,"expression_no_base_symbol":"($2281$⊪)⨐⩸⫘(⨰⫟⨤$5053$)%(-(⨵≀≌$3120$))⪨≂((-$4665$)⨵⪆$1081$≎⊠⪸$5671$)⩚⊴⇥($4912$⨵⪆$1602$)≹⇙⪍($1031$⨸⪁$5636$)","expression":"(∃⊬8E9⊪)⨐⩸⫘(⨰⫟⨤∃⊬13BD)%(-(⨵≀≌∃⊬C30))⪨≂((-∃⊬1239)⨵⪆∃⊬439≎⊠⪸∃⊬1627)⩚⊴⇥(∃⊬1330⨵⪆∃⊬642)≹⇙⪍(∃⊬407⨸⪁∃⊬1604)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":19696,"operation_count":14,"complexity_ratio":1406.857142857143,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":2281,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5053,"base":16}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3120,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":4665,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1081,"base":16},"right_expr":{"type":"numeric_atoms","value":5671,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4912,"base":16},"right_expr":{"type":"numeric_atoms","value":1602,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1031,"base":16},"right_expr":{"type":"numeric_atoms","value":5636,"base":16}}}}},"used_operators":["sdazOOVcIp","k8jYdgA6NY","fu6greOZ01","zVYPLywUTj","Tw270M8GLb","t8gj7n24qd","srAu1WTS94","NTOWxs364D","2DQ55sFlQl","bJkvcejdHO","AHs5Up7iyr","g55IO6H4Gj"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","dWAJyo7jo9","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2281","layer":4},{"info":"compute unary expreesion, input=2281, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=5053","layer":4},{"info":"compute unary expreesion, input=5053, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3120","layer":4},{"info":"compute unary expreesion, input=3120, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-9360","layer":3},{"info":"compute unary expreesion, input=-9360, op_id = t8gj7n24qd, unary_op_definition = 'None', output=9360","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9360, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4665","layer":4},{"info":"compute unary expreesion, input=4665, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-4665","layer":3},{"info":"number node, value=1081","layer":4},{"info":"number node, value=5671","layer":4},{"info":"compute binary expreesion, left_input=1081, right_input=5671, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=279506","layer":3},{"info":"compute binary expreesion, left_input=-4665, right_input=279506, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=4912","layer":4},{"info":"number node, value=1602","layer":4},{"info":"compute binary expreesion, left_input=4912, right_input=1602, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1031","layer":4},{"info":"number node, value=5636","layer":4},{"info":"compute binary expreesion, left_input=1031, right_input=5636, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=13334","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=13334, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬8E9⊪)⨐⩸⫘(⨰⫟⨤∃⊬13BD)%(-(⨵≀≌∃⊬C30))⪨≂((-∃⊬1239)⨵⪆∃⊬439≎⊠⪸∃⊬1627)⩚⊴⇥(∃⊬1330⨵⪆∃⊬642)≹⇙⪍(∃⊬407⨸⪁∃⊬1604)=NaN","reverse_text":"NaN=(∃⊬8E9⊪)⨐⩸⫘(⨰⫟⨤∃⊬13BD)%(-(⨵≀≌∃⊬C30))⪨≂((-∃⊬1239)⨵⪆∃⊬439≎⊠⪸∃⊬1627)⩚⊴⇥(∃⊬1330⨵⪆∃⊬642)≹⇙⪍(∃⊬407⨸⪁∃⊬1604)","cot":[{"info":"∃⊬8E9⊪=∃⊬0","layer":3},{"info":"⨰⫟⨤∃⊬13BD=NaN","layer":3},{"info":"∃⊬0⨐⩸⫘NaN=NaN","layer":2},{"info":"⨵≀≌∃⊬C30=∃⊬-2490","layer":3},{"info":"-∃⊬-2490=∃⊬2490","layer":2},{"info":"NaN%∃⊬2490=NaN","layer":1},{"info":"-∃⊬1239=∃⊬-1239","layer":3},{"info":"∃⊬439≎⊠⪸∃⊬1627=∃⊬443D2","layer":3},{"info":"∃⊬-1239⨵⪆∃⊬443D2=∃⊬A0","layer":2},{"info":"∃⊬1330⨵⪆∃⊬642=∃⊬A0","layer":3},{"info":"∃⊬407⨸⪁∃⊬1604=∃⊬3416","layer":3},{"info":"∃⊬A0≹⇙⪍∃⊬3416=NaN","layer":2},{"info":"∃⊬A0⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⪨≂NaN=NaN","layer":0}]}
{"id":862,"expression_no_base_symbol":"($3415$⩷∴$1448$⨎($1479$⇼⇔∾$2455$)⨸⪁($4562$⫸⊐$1626$%$3389$%$1245$))∑⇟⊟(($2270$≋⫹)≧⫂∧($5962$⩷∴$2358$)/($8461$⪐)⋓($1209$⩷∴$1613$))","expression":"(∃⊬D57⩷∴∃⊬5A8⨎(∃⊬5C7⇼⇔∾∃⊬997)⨸⪁(∃⊬11D2⫸⊐∃⊬65A%∃⊬D3D%∃⊬4DD))∑⇟⊟((∃⊬8DE≋⫹)≧⫂∧(∃⊬174A⩷∴∃⊬936)/(∃⊬210D⪐)⋓(∃⊬4B9⩷∴∃⊬64D))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":78,"operation_count":15,"complexity_ratio":5.2,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3415,"base":16},"right_expr":{"type":"numeric_atoms","value":1448,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1479,"base":16},"right_expr":{"type":"numeric_atoms","value":2455,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":4562,"base":16},"right_expr":{"type":"numeric_atoms","value":1626,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3389,"base":16},"right_expr":{"type":"numeric_atoms","value":1245,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":2270,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":5962,"base":16},"right_expr":{"type":"numeric_atoms","value":2358,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":8461,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1209,"base":16},"right_expr":{"type":"numeric_atoms","value":1613,"base":16}}}}},"used_operators":["U7g4x0WXJJ","g55IO6H4Gj","rJVOvQCfKK","9FxExcQeMw","tifHPKVTfV","k8jYdgA6NY","mqXw5SEYmG","XhwjNDsVaA","Ph9nP6C5qx","N41Kp7NANJ","T2fj7uvVaJ","eH2TOUuTDT"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3415","layer":4},{"info":"number node, value=1448","layer":4},{"info":"compute binary expreesion, left_input=3415, right_input=1448, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3902","layer":3},{"info":"number node, value=1479","layer":4},{"info":"number node, value=2455","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=2455, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=976","layer":3},{"info":"compute binary expreesion, left_input=3902, right_input=976, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=976","layer":2},{"info":"number node, value=4562","layer":4},{"info":"number node, value=1626","layer":4},{"info":"compute binary expreesion, left_input=4562, right_input=1626, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=6379","layer":3},{"info":"number node, value=3389","layer":4},{"info":"number node, value=1245","layer":4},{"info":"compute binary expreesion, left_input=3389, right_input=1245, op_id = k8jYdgA6NY binary_op_definition= 'None', output=899","layer":3},{"info":"compute binary expreesion, left_input=6379, right_input=899, op_id = k8jYdgA6NY binary_op_definition= 'None', output=86","layer":2},{"info":"compute binary expreesion, left_input=976, right_input=86, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=2124","layer":1},{"info":"number node, value=2270","layer":4},{"info":"compute unary expreesion, input=2270, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-4540","layer":3},{"info":"number node, value=5962","layer":4},{"info":"number node, value=2358","layer":4},{"info":"compute binary expreesion, left_input=5962, right_input=2358, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7176","layer":3},{"info":"compute binary expreesion, left_input=-4540, right_input=7176, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=6703","layer":2},{"info":"number node, value=8461","layer":4},{"info":"compute unary expreesion, input=8461, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=16922","layer":3},{"info":"number node, value=1209","layer":4},{"info":"number node, value=1613","layer":4},{"info":"compute binary expreesion, left_input=1209, right_input=1613, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-840","layer":3},{"info":"compute binary expreesion, left_input=16922, right_input=-840, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=6703, right_input=0, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2124, 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":"(∃⊬D57⩷∴∃⊬5A8⨎(∃⊬5C7⇼⇔∾∃⊬997)⨸⪁(∃⊬11D2⫸⊐∃⊬65A%∃⊬D3D%∃⊬4DD))∑⇟⊟((∃⊬8DE≋⫹)≧⫂∧(∃⊬174A⩷∴∃⊬936)/(∃⊬210D⪐)⋓(∃⊬4B9⩷∴∃⊬64D))=NaN","reverse_text":"NaN=(∃⊬D57⩷∴∃⊬5A8⨎(∃⊬5C7⇼⇔∾∃⊬997)⨸⪁(∃⊬11D2⫸⊐∃⊬65A%∃⊬D3D%∃⊬4DD))∑⇟⊟((∃⊬8DE≋⫹)≧⫂∧(∃⊬174A⩷∴∃⊬936)/(∃⊬210D⪐)⋓(∃⊬4B9⩷∴∃⊬64D))","cot":[{"info":"∃⊬D57⩷∴∃⊬5A8=∃⊬F3E","layer":3},{"info":"∃⊬5C7⇼⇔∾∃⊬997=∃⊬3D0","layer":3},{"info":"∃⊬F3E⨎∃⊬3D0=∃⊬3D0","layer":2},{"info":"∃⊬11D2⫸⊐∃⊬65A=∃⊬18EB","layer":3},{"info":"∃⊬D3D%∃⊬4DD=∃⊬383","layer":3},{"info":"∃⊬18EB%∃⊬383=∃⊬56","layer":2},{"info":"∃⊬3D0⨸⪁∃⊬56=∃⊬84C","layer":1},{"info":"∃⊬8DE≋⫹=∃⊬-11BC","layer":3},{"info":"∃⊬174A⩷∴∃⊬936=∃⊬1C08","layer":3},{"info":"∃⊬-11BC≧⫂∧∃⊬1C08=∃⊬1A2F","layer":2},{"info":"∃⊬210D⪐=∃⊬421A","layer":3},{"info":"∃⊬4B9⩷∴∃⊬64D=∃⊬-348","layer":3},{"info":"∃⊬421A⋓∃⊬-348=∃⊬0","layer":2},{"info":"∃⊬1A2F/∃⊬0=NaN","layer":1},{"info":"∃⊬84C∑⇟⊟NaN=NaN","layer":0}]}
{"id":863,"expression_no_base_symbol":"((($3037$⨽$1083$)⨎($1349$⩨$2873$))≎⊠⪸(($1275$%$1631$)⨽($2237$⫸⊐$8388$)))∸","expression":"(((∃⊬BDD⨽∃⊬43B)⨎(∃⊬545⩨∃⊬B39))≎⊠⪸((∃⊬4FB%∃⊬65F)⨽(∃⊬8BD⫸⊐∃⊬20C4)))∸","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4549,"operation_count":8,"complexity_ratio":568.625,"tree":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":3037,"base":16},"right_expr":{"type":"numeric_atoms","value":1083,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1349,"base":16},"right_expr":{"type":"numeric_atoms","value":2873,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1275,"base":16},"right_expr":{"type":"numeric_atoms","value":1631,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2237,"base":16},"right_expr":{"type":"numeric_atoms","value":8388,"base":16}}}}},"used_operators":["o20kRiQErp","bJkvcejdHO","rJVOvQCfKK","8HhzD0ZcuI","2DlMacCsIx","k8jYdgA6NY","mqXw5SEYmG"],"dependent_operators":["tmPS8pqC7x","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"∃⊬B1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3037","layer":4},{"info":"number node, value=1083","layer":4},{"info":"compute binary expreesion, left_input=3037, right_input=1083, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-27672042","layer":3},{"info":"number node, value=1349","layer":4},{"info":"number node, value=2873","layer":4},{"info":"compute binary expreesion, left_input=1349, right_input=2873, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-6","layer":3},{"info":"compute binary expreesion, left_input=-27672042, right_input=-6, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-6","layer":2},{"info":"number node, value=1275","layer":4},{"info":"number node, value=1631","layer":4},{"info":"compute binary expreesion, left_input=1275, right_input=1631, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1275","layer":3},{"info":"number node, value=2237","layer":4},{"info":"number node, value=8388","layer":4},{"info":"compute binary expreesion, left_input=2237, right_input=8388, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=33427","layer":3},{"info":"compute binary expreesion, left_input=1275, right_input=33427, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-4975842","layer":2},{"info":"compute binary expreesion, left_input=-6, right_input=-4975842, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute unary expreesion, input=67, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬BDD⨽∃⊬43B)⨎(∃⊬545⩨∃⊬B39))≎⊠⪸((∃⊬4FB%∃⊬65F)⨽(∃⊬8BD⫸⊐∃⊬20C4)))∸=∃⊬B1","reverse_text":"∃⊬B1=(((∃⊬BDD⨽∃⊬43B)⨎(∃⊬545⩨∃⊬B39))≎⊠⪸((∃⊬4FB%∃⊬65F)⨽(∃⊬8BD⫸⊐∃⊬20C4)))∸","cot":[{"info":"∃⊬BDD⨽∃⊬43B=∃⊬-1A63DEA","layer":3},{"info":"∃⊬545⩨∃⊬B39=∃⊬-6","layer":3},{"info":"∃⊬-1A63DEA⨎∃⊬-6=∃⊬-6","layer":2},{"info":"∃⊬4FB%∃⊬65F=∃⊬4FB","layer":3},{"info":"∃⊬8BD⫸⊐∃⊬20C4=∃⊬8293","layer":3},{"info":"∃⊬4FB⨽∃⊬8293=∃⊬-4BECE2","layer":2},{"info":"∃⊬-6≎⊠⪸∃⊬-4BECE2=∃⊬43","layer":1},{"info":"∃⊬43∸=∃⊬B1","layer":0}]}
{"id":864,"expression_no_base_symbol":"(⩦⩻⨪($1557$⨐⩸⫘$6116$⋷$5846$*$2745$))⪮%⊝(($1654$≧⫂∧$4139$⇼⇔∾$1989$⩚⊴⇥$1451$)⇷($6988$≎⊠⪸$1122$)⨟⋌⩍($5333$↙$5639$))","expression":"(⩦⩻⨪(∃⊬615⨐⩸⫘∃⊬17E4⋷∃⊬16D6*∃⊬AB9))⪮%⊝((∃⊬676≧⫂∧∃⊬102B⇼⇔∾∃⊬7C5⩚⊴⇥∃⊬5AB)⇷(∃⊬1B4C≎⊠⪸∃⊬462)⨟⋌⩍(∃⊬14D5↙∃⊬1607))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":109863,"operation_count":12,"complexity_ratio":9155.25,"tree":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1557,"base":16},"right_expr":{"type":"numeric_atoms","value":6116,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5846,"base":16},"right_expr":{"type":"numeric_atoms","value":2745,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1654,"base":16},"right_expr":{"type":"numeric_atoms","value":4139,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1989,"base":16},"right_expr":{"type":"numeric_atoms","value":1451,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6988,"base":16},"right_expr":{"type":"numeric_atoms","value":1122,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":5333,"base":16},"right_expr":{"type":"numeric_atoms","value":5639,"base":16}}}}},"used_operators":["IWmyXbctLI","2td37pGCOC","23Mk6UjR3U","fu6greOZ01","9HNa5Wba9A","mp7IySMOzn","tifHPKVTfV","Ph9nP6C5qx","NTOWxs364D","rGHVDoGpnC","bJkvcejdHO","yyfyN0ffXY"],"dependent_operators":["9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","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=1557","layer":4},{"info":"number node, value=6116","layer":4},{"info":"compute binary expreesion, left_input=1557, right_input=6116, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5846","layer":4},{"info":"number node, value=2745","layer":4},{"info":"compute binary expreesion, left_input=5846, right_input=2745, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=16047270","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=16047270, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1654","layer":4},{"info":"number node, value=4139","layer":4},{"info":"compute binary expreesion, left_input=1654, right_input=4139, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=3666","layer":3},{"info":"number node, value=1989","layer":4},{"info":"number node, value=1451","layer":4},{"info":"compute binary expreesion, left_input=1989, right_input=1451, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3561","layer":3},{"info":"compute binary expreesion, left_input=3666, right_input=-3561, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-7227","layer":2},{"info":"number node, value=6988","layer":4},{"info":"number node, value=1122","layer":4},{"info":"compute binary expreesion, left_input=6988, right_input=1122, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1809419","layer":3},{"info":"number node, value=5333","layer":4},{"info":"number node, value=5639","layer":4},{"info":"compute binary expreesion, left_input=5333, right_input=5639, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16917","layer":3},{"info":"compute binary expreesion, left_input=1809419, right_input=-16917, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-7227, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⩦⩻⨪(∃⊬615⨐⩸⫘∃⊬17E4⋷∃⊬16D6*∃⊬AB9))⪮%⊝((∃⊬676≧⫂∧∃⊬102B⇼⇔∾∃⊬7C5⩚⊴⇥∃⊬5AB)⇷(∃⊬1B4C≎⊠⪸∃⊬462)⨟⋌⩍(∃⊬14D5↙∃⊬1607))=NaN","reverse_text":"NaN=(⩦⩻⨪(∃⊬615⨐⩸⫘∃⊬17E4⋷∃⊬16D6*∃⊬AB9))⪮%⊝((∃⊬676≧⫂∧∃⊬102B⇼⇔∾∃⊬7C5⩚⊴⇥∃⊬5AB)⇷(∃⊬1B4C≎⊠⪸∃⊬462)⨟⋌⩍(∃⊬14D5↙∃⊬1607))","cot":[{"info":"∃⊬615⨐⩸⫘∃⊬17E4=NaN","layer":3},{"info":"∃⊬16D6*∃⊬AB9=∃⊬F4DCA6","layer":3},{"info":"NaN⋷∃⊬F4DCA6=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"∃⊬676≧⫂∧∃⊬102B=∃⊬E52","layer":3},{"info":"∃⊬7C5⩚⊴⇥∃⊬5AB=∃⊬-DE9","layer":3},{"info":"∃⊬E52⇼⇔∾∃⊬-DE9=∃⊬-1C3B","layer":2},{"info":"∃⊬1B4C≎⊠⪸∃⊬462=∃⊬1B9C0B","layer":3},{"info":"∃⊬14D5↙∃⊬1607=∃⊬-4215","layer":3},{"info":"∃⊬1B9C0B⨟⋌⩍∃⊬-4215=NaN","layer":2},{"info":"∃⊬-1C3B⇷NaN=NaN","layer":1},{"info":"NaN⪮%⊝NaN=NaN","layer":0}]}
{"id":865,"expression_no_base_symbol":"(↯⪼(↯⪼($2418$∼$4866$)))⨰((⇁⨣⪵$1443$)⋳⪒($4791$⋳⪒$4428$)+($1377$↙$1522$)⨎(⨑⩽⪐$1217$))","expression":"(↯⪼(↯⪼(∃⊬972∼∃⊬1302)))⨰((⇁⨣⪵∃⊬5A3)⋳⪒(∃⊬12B7⋳⪒∃⊬114C)+(∃⊬561↙∃⊬5F2)⨎(⨑⩽⪐∃⊬4C1))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1663,"operation_count":11,"complexity_ratio":151.1818181818182,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":2418,"base":16},"right_expr":{"type":"numeric_atoms","value":4866,"base":16}}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1443,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4791,"base":16},"right_expr":{"type":"numeric_atoms","value":4428,"base":16}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1377,"base":16},"right_expr":{"type":"numeric_atoms","value":1522,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1217,"base":16}}}}},"used_operators":["eewbuw0ToL","8jW3W4yZS5","DyGG3AbaNP","W4YGzv6Whe","12rbrZMWeM","inkyxCbjAn","rJVOvQCfKK","yyfyN0ffXY","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2418","layer":4},{"info":"number node, value=4866","layer":4},{"info":"compute binary expreesion, left_input=2418, right_input=4866, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":1},{"info":"number node, value=1443","layer":4},{"info":"compute unary expreesion, input=1443, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4791","layer":4},{"info":"number node, value=4428","layer":4},{"info":"compute binary expreesion, left_input=4791, right_input=4428, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4867","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4867, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1377","layer":4},{"info":"number node, value=1522","layer":4},{"info":"compute binary expreesion, left_input=1377, right_input=1522, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4566","layer":3},{"info":"number node, value=1217","layer":4},{"info":"compute unary expreesion, input=1217, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-944","layer":3},{"info":"compute binary expreesion, left_input=-4566, right_input=-944, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-944","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-944, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, 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":"(↯⪼(↯⪼(∃⊬972∼∃⊬1302)))⨰((⇁⨣⪵∃⊬5A3)⋳⪒(∃⊬12B7⋳⪒∃⊬114C)+(∃⊬561↙∃⊬5F2)⨎(⨑⩽⪐∃⊬4C1))=NaN","reverse_text":"NaN=(↯⪼(↯⪼(∃⊬972∼∃⊬1302)))⨰((⇁⨣⪵∃⊬5A3)⋳⪒(∃⊬12B7⋳⪒∃⊬114C)+(∃⊬561↙∃⊬5F2)⨎(⨑⩽⪐∃⊬4C1))","cot":[{"info":"∃⊬972∼∃⊬1302=NaN","layer":3},{"info":"↯⪼NaN=∃⊬-15","layer":2},{"info":"↯⪼∃⊬-15=∃⊬-15","layer":1},{"info":"⇁⨣⪵∃⊬5A3=NaN","layer":3},{"info":"∃⊬12B7⋳⪒∃⊬114C=∃⊬1303","layer":3},{"info":"NaN⋳⪒∃⊬1303=NaN","layer":2},{"info":"∃⊬561↙∃⊬5F2=∃⊬-11D6","layer":3},{"info":"⨑⩽⪐∃⊬4C1=∃⊬-3B0","layer":3},{"info":"∃⊬-11D6⨎∃⊬-3B0=∃⊬-3B0","layer":2},{"info":"NaN+∃⊬-3B0=NaN","layer":1},{"info":"∃⊬-15⨰NaN=NaN","layer":0}]}
{"id":866,"expression_no_base_symbol":"$7364$⪘⫢$7674$⩚⊴⇥($2177$↙$3481$)-$1096$⨓$2525$%$4313$⋓$3319$⨵⪆($1944$⪄$2330$)≹⇙⪍($7417$⫩⊇)⨽(($3340$⪄$1883$)⪄$2460$⇷$2622$)","expression":"∃⊬1CC4⪘⫢∃⊬1DFA⩚⊴⇥(∃⊬881↙∃⊬D99)-∃⊬448⨓∃⊬9DD%∃⊬10D9⋓∃⊬CF7⨵⪆(∃⊬798⪄∃⊬91A)≹⇙⪍(∃⊬1CF9⫩⊇)⨽((∃⊬D0C⪄∃⊬75B)⪄∃⊬99C⇷∃⊬A3E)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":40791,"operation_count":15,"complexity_ratio":2719.4,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":7364,"base":16},"right_expr":{"type":"numeric_atoms","value":7674,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2177,"base":16},"right_expr":{"type":"numeric_atoms","value":3481,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1096,"base":16},"right_expr":{"type":"numeric_atoms","value":2525,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4313,"base":16},"right_expr":{"type":"numeric_atoms","value":3319,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1944,"base":16},"right_expr":{"type":"numeric_atoms","value":2330,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":7417,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3340,"base":16},"right_expr":{"type":"numeric_atoms","value":1883,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2460,"base":16},"right_expr":{"type":"numeric_atoms","value":2622,"base":16}}}}},"used_operators":["2DQ55sFlQl","rysDP5nf3Z","NTOWxs364D","oacrs7FA3X","yyfyN0ffXY","k8jYdgA6NY","3ViojmjbAp","T2fj7uvVaJ","8HhzD0ZcuI","AHs5Up7iyr","SUmda5xLS4","BjRHVeLaeN","mp7IySMOzn"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","dWAJyo7jo9","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7364","layer":4},{"info":"number node, value=7674","layer":4},{"info":"compute binary expreesion, left_input=7364, right_input=7674, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=14604","layer":3},{"info":"number node, value=2177","layer":4},{"info":"number node, value=3481","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=3481, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-10443","layer":3},{"info":"compute binary expreesion, left_input=14604, right_input=-10443, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4282","layer":2},{"info":"number node, value=1096","layer":4},{"info":"number node, value=2525","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2525, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2528","layer":3},{"info":"number node, value=4313","layer":4},{"info":"number node, value=3319","layer":4},{"info":"compute binary expreesion, left_input=4313, right_input=3319, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-2528, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-4282, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1944","layer":4},{"info":"number node, value=2330","layer":4},{"info":"compute binary expreesion, left_input=1944, right_input=2330, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-293121","layer":3},{"info":"number node, value=7417","layer":4},{"info":"compute unary expreesion, input=7417, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-7375","layer":3},{"info":"compute binary expreesion, left_input=-293121, right_input=-7375, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3340","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=3340, right_input=1883, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-497941","layer":3},{"info":"number node, value=2460","layer":4},{"info":"number node, value=2622","layer":4},{"info":"compute binary expreesion, left_input=2460, right_input=2622, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5244","layer":3},{"info":"compute binary expreesion, left_input=-497941, right_input=5244, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3979, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"∃⊬1CC4⪘⫢∃⊬1DFA⩚⊴⇥(∃⊬881↙∃⊬D99)-∃⊬448⨓∃⊬9DD%∃⊬10D9⋓∃⊬CF7⨵⪆(∃⊬798⪄∃⊬91A)≹⇙⪍(∃⊬1CF9⫩⊇)⨽((∃⊬D0C⪄∃⊬75B)⪄∃⊬99C⇷∃⊬A3E)=∃⊬A0","reverse_text":"∃⊬A0=∃⊬1CC4⪘⫢∃⊬1DFA⩚⊴⇥(∃⊬881↙∃⊬D99)-∃⊬448⨓∃⊬9DD%∃⊬10D9⋓∃⊬CF7⨵⪆(∃⊬798⪄∃⊬91A)≹⇙⪍(∃⊬1CF9⫩⊇)⨽((∃⊬D0C⪄∃⊬75B)⪄∃⊬99C⇷∃⊬A3E)","cot":[{"info":"∃⊬1CC4⪘⫢∃⊬1DFA=∃⊬390C","layer":3},{"info":"∃⊬881↙∃⊬D99=∃⊬-28CB","layer":3},{"info":"∃⊬390C⩚⊴⇥∃⊬-28CB=∃⊬-10BA","layer":2},{"info":"∃⊬448⨓∃⊬9DD=∃⊬-9E0","layer":3},{"info":"∃⊬10D9⋓∃⊬CF7=∃⊬0","layer":3},{"info":"∃⊬-9E0%∃⊬0=NaN","layer":2},{"info":"∃⊬-10BA-NaN=NaN","layer":1},{"info":"∃⊬798⪄∃⊬91A=∃⊬-47901","layer":3},{"info":"∃⊬1CF9⫩⊇=∃⊬-1CCF","layer":3},{"info":"∃⊬-47901≹⇙⪍∃⊬-1CCF=NaN","layer":2},{"info":"∃⊬D0C⪄∃⊬75B=∃⊬-79915","layer":3},{"info":"∃⊬99C⇷∃⊬A3E=∃⊬147C","layer":3},{"info":"∃⊬-79915⪄∃⊬147C=∃⊬F8B","layer":2},{"info":"NaN⨽∃⊬F8B=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":867,"expression_no_base_symbol":"⨑⩽⪐(($6008$⩤)≭($5050$/$3636$))∀⇚≩($2348$⊉≛↸$2628$)⨟⋌⩍($2422$⨪↰⇹$1205$)","expression":"⨑⩽⪐((∃⊬1778⩤)≭(∃⊬13BA/∃⊬E34))∀⇚≩(∃⊬92C⊉≛↸∃⊬A44)⨟⋌⩍(∃⊬976⨪↰⇹∃⊬4B5)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":6194,"operation_count":8,"complexity_ratio":774.25,"tree":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":6008,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5050,"base":16},"right_expr":{"type":"numeric_atoms","value":3636,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2348,"base":16},"right_expr":{"type":"numeric_atoms","value":2628,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2422,"base":16},"right_expr":{"type":"numeric_atoms","value":1205,"base":16}}}}},"used_operators":["AF7qkfDlqP","LRNGc0VcxI","rxpJgHHUmx","Z2TMIBDE3Q","XhwjNDsVaA","rGHVDoGpnC","DZ8iAZOCBD","tmPS8pqC7x"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","X99M06cbEe","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6008","layer":4},{"info":"compute unary expreesion, input=6008, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-6008","layer":3},{"info":"number node, value=5050","layer":4},{"info":"number node, value=3636","layer":4},{"info":"compute binary expreesion, left_input=5050, right_input=3636, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=-6008, right_input=1, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=2628, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4696","layer":3},{"info":"number node, value=2422","layer":4},{"info":"number node, value=1205","layer":4},{"info":"compute binary expreesion, left_input=2422, right_input=1205, 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=2422","layer":3},{"info":"compute binary expreesion, left_input=4696, right_input=2422, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":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":"⨑⩽⪐((∃⊬1778⩤)≭(∃⊬13BA/∃⊬E34))∀⇚≩(∃⊬92C⊉≛↸∃⊬A44)⨟⋌⩍(∃⊬976⨪↰⇹∃⊬4B5)=NaN","reverse_text":"NaN=⨑⩽⪐((∃⊬1778⩤)≭(∃⊬13BA/∃⊬E34))∀⇚≩(∃⊬92C⊉≛↸∃⊬A44)⨟⋌⩍(∃⊬976⨪↰⇹∃⊬4B5)","cot":[{"info":"∃⊬1778⩤=∃⊬-1778","layer":3},{"info":"∃⊬13BA/∃⊬E34=∃⊬1","layer":3},{"info":"∃⊬-1778≭∃⊬1=NaN","layer":2},{"info":"∃⊬92C⊉≛↸∃⊬A44=∃⊬1258","layer":3},{"info":"∃⊬976⨪↰⇹∃⊬4B5=∃⊬976","layer":3},{"info":"∃⊬1258⨟⋌⩍∃⊬976=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"⨑⩽⪐NaN=NaN","layer":0}]}
{"id":868,"expression_no_base_symbol":"(($4919$⋝⋈⪟$1059$)↬($2467$⇋≉)⪨≂($3746$⫌⩹⨱)⊭↱$1615$⫸⊐$2123$)⩨(⨈⫕($7023$⨎$4063$)≭($6076$⪨≂$1186$))","expression":"((∃⊬1337⋝⋈⪟∃⊬423)↬(∃⊬9A3⇋≉)⪨≂(∃⊬EA2⫌⩹⨱)⊭↱∃⊬64F⫸⊐∃⊬84B)⩨(⨈⫕(∃⊬1B6F⨎∃⊬FDF)≭(∃⊬17BC⪨≂∃⊬4A2))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":446,"operation_count":12,"complexity_ratio":37.166666666666664,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":4919,"base":16},"right_expr":{"type":"numeric_atoms","value":1059,"base":16}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2467,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3746,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1615,"base":16},"right_expr":{"type":"numeric_atoms","value":2123,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":7023,"base":16},"right_expr":{"type":"numeric_atoms","value":4063,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":6076,"base":16},"right_expr":{"type":"numeric_atoms","value":1186,"base":16}}}}},"used_operators":["2DlMacCsIx","sdazOOVcIp","B5M0gjZbta","2DDjHMKMc0","XIabStNQrY","COABgblf1C","EBcxylXtPf","mqXw5SEYmG","megm06wKyl","rxpJgHHUmx","rJVOvQCfKK"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4919","layer":4},{"info":"number node, value=1059","layer":4},{"info":"compute binary expreesion, left_input=4919, right_input=1059, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=4919","layer":3},{"info":"number node, value=2467","layer":4},{"info":"compute unary expreesion, input=2467, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=4836","layer":3},{"info":"compute binary expreesion, left_input=4919, right_input=4836, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=3746","layer":4},{"info":"compute unary expreesion, input=3746, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=8893","layer":3},{"info":"number node, value=1615","layer":4},{"info":"number node, value=2123","layer":4},{"info":"compute binary expreesion, left_input=1615, right_input=2123, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8367","layer":3},{"info":"compute binary expreesion, left_input=8893, right_input=8367, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-1047","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1047, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"number node, value=7023","layer":4},{"info":"number node, value=4063","layer":4},{"info":"compute binary expreesion, left_input=7023, right_input=4063, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4063","layer":3},{"info":"number node, value=6076","layer":4},{"info":"number node, value=1186","layer":4},{"info":"compute binary expreesion, left_input=6076, right_input=1186, 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=9882","layer":3},{"info":"compute binary expreesion, left_input=4063, right_input=9882, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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":"((∃⊬1337⋝⋈⪟∃⊬423)↬(∃⊬9A3⇋≉)⪨≂(∃⊬EA2⫌⩹⨱)⊭↱∃⊬64F⫸⊐∃⊬84B)⩨(⨈⫕(∃⊬1B6F⨎∃⊬FDF)≭(∃⊬17BC⪨≂∃⊬4A2))=NaN","reverse_text":"NaN=((∃⊬1337⋝⋈⪟∃⊬423)↬(∃⊬9A3⇋≉)⪨≂(∃⊬EA2⫌⩹⨱)⊭↱∃⊬64F⫸⊐∃⊬84B)⩨(⨈⫕(∃⊬1B6F⨎∃⊬FDF)≭(∃⊬17BC⪨≂∃⊬4A2))","cot":[{"info":"∃⊬1337⋝⋈⪟∃⊬423=∃⊬1337","layer":3},{"info":"∃⊬9A3⇋≉=∃⊬12E4","layer":3},{"info":"∃⊬1337↬∃⊬12E4=NaN","layer":2},{"info":"∃⊬EA2⫌⩹⨱=∃⊬22BD","layer":3},{"info":"∃⊬64F⫸⊐∃⊬84B=∃⊬20AF","layer":3},{"info":"∃⊬22BD⊭↱∃⊬20AF=∃⊬-417","layer":2},{"info":"NaN⪨≂∃⊬-417=NaN","layer":1},{"info":"∃⊬1B6F⨎∃⊬FDF=∃⊬FDF","layer":3},{"info":"∃⊬17BC⪨≂∃⊬4A2=∃⊬269A","layer":3},{"info":"∃⊬FDF≭∃⊬269A=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"NaN⩨∃⊬-15=NaN","layer":0}]}
{"id":869,"expression_no_base_symbol":"(⪲⇎(⊥$3282$)⨽$4657$∑⇟⊟$2566$)⨵⪆((⪲⇎$1782$)⩠)⫥∨⫟((↥$2364$)*($2083$⨵⪆$1097$))","expression":"(⪲⇎(⊥∃⊬CD2)⨽∃⊬1231∑⇟⊟∃⊬A06)⨵⪆((⪲⇎∃⊬6F6)⩠)⫥∨⫟((↥∃⊬93C)*(∃⊬823⨵⪆∃⊬449))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":254,"operation_count":11,"complexity_ratio":23.09090909090909,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":3282,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4657,"base":16},"right_expr":{"type":"numeric_atoms","value":2566,"base":16}}}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1782,"base":16}}},"right_expr":{"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":2083,"base":16},"right_expr":{"type":"numeric_atoms","value":1097,"base":16}}}}},"used_operators":["2DQ55sFlQl","XPYlsWDdGa","8HhzD0ZcuI","Q3PJZHRvZv","U7g4x0WXJJ","KYD54nUTWz","sJAwomhLZr","9HNa5Wba9A","A8NUZmVepG"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","fu6greOZ01","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","k8jYdgA6NY"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3282","layer":4},{"info":"compute unary expreesion, input=3282, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4657","layer":4},{"info":"number node, value=2566","layer":4},{"info":"compute binary expreesion, left_input=4657, right_input=2566, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":1},{"info":"number node, value=1782","layer":4},{"info":"compute unary expreesion, input=1782, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3564","layer":3},{"info":"compute unary expreesion, input=3564, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":2},{"info":"number node, value=2364","layer":4},{"info":"compute unary expreesion, input=2364, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=18","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=1097","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=1097, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=18, right_input=160, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2880","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=2880, 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 = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":0}],"base":16,"result_base":16,"text":"(⪲⇎(⊥∃⊬CD2)⨽∃⊬1231∑⇟⊟∃⊬A06)⨵⪆((⪲⇎∃⊬6F6)⩠)⫥∨⫟((↥∃⊬93C)*(∃⊬823⨵⪆∃⊬449))=∃⊬A0","reverse_text":"∃⊬A0=(⪲⇎(⊥∃⊬CD2)⨽∃⊬1231∑⇟⊟∃⊬A06)⨵⪆((⪲⇎∃⊬6F6)⩠)⫥∨⫟((↥∃⊬93C)*(∃⊬823⨵⪆∃⊬449))","cot":[{"info":"⊥∃⊬CD2=NaN","layer":3},{"info":"∃⊬1231∑⇟⊟∃⊬A06=NaN","layer":3},{"info":"NaN⨽NaN=NaN","layer":2},{"info":"⪲⇎NaN=NaN","layer":1},{"info":"⪲⇎∃⊬6F6=∃⊬DEC","layer":3},{"info":"∃⊬DEC⩠=∃⊬0","layer":2},{"info":"↥∃⊬93C=∃⊬12","layer":3},{"info":"∃⊬823⨵⪆∃⊬449=∃⊬A0","layer":3},{"info":"∃⊬12*∃⊬A0=∃⊬B40","layer":2},{"info":"∃⊬0⫥∨⫟∃⊬B40=NaN","layer":1},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":0}]}
{"id":870,"expression_no_base_symbol":"(((-$6958$)∑⇟⊟($4851$⊦⊿))↬($1433$↙$1571$)⪮%⊝(⨑⩽⪐$4302$))⨟⋌⩍(⨰⫟⨤(↩$4044$)↬$1065$⊴$1142$)","expression":"(((-∃⊬1B2E)∑⇟⊟(∃⊬12F3⊦⊿))↬(∃⊬599↙∃⊬623)⪮%⊝(⨑⩽⪐∃⊬10CE))⨟⋌⩍(⨰⫟⨤(↩∃⊬FCC)↬∃⊬429⊴∃⊬476)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2791,"operation_count":12,"complexity_ratio":232.58333333333334,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":6958,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":4851,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1433,"base":16},"right_expr":{"type":"numeric_atoms","value":1571,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4302,"base":16}}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4044,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1065,"base":16},"right_expr":{"type":"numeric_atoms","value":1142,"base":16}}}}},"used_operators":["rGHVDoGpnC","B5M0gjZbta","U7g4x0WXJJ","t8gj7n24qd","14qkJME0vr","IWmyXbctLI","yyfyN0ffXY","AF7qkfDlqP","Tw270M8GLb","jLgFTUHLKL","Nsiff2A1zJ"],"dependent_operators":["Tcnh7f0tEr","rGHVDoGpnC","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","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=6958","layer":4},{"info":"compute unary expreesion, input=6958, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-6958","layer":3},{"info":"number node, value=4851","layer":4},{"info":"compute unary expreesion, input=4851, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-14632","layer":3},{"info":"compute binary expreesion, left_input=-6958, right_input=-14632, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1433","layer":4},{"info":"number node, value=1571","layer":4},{"info":"compute binary expreesion, left_input=1433, right_input=1571, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-4713","layer":3},{"info":"number node, value=4302","layer":4},{"info":"compute unary expreesion, input=4302, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4029","layer":3},{"info":"compute binary expreesion, left_input=-4713, right_input=-4029, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=-9110","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-9110, 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=4044","layer":4},{"info":"compute unary expreesion, input=4044, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-29572","layer":3},{"info":"number node, value=1065","layer":4},{"info":"number node, value=1142","layer":4},{"info":"compute binary expreesion, left_input=1065, right_input=1142, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-29572, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((-∃⊬1B2E)∑⇟⊟(∃⊬12F3⊦⊿))↬(∃⊬599↙∃⊬623)⪮%⊝(⨑⩽⪐∃⊬10CE))⨟⋌⩍(⨰⫟⨤(↩∃⊬FCC)↬∃⊬429⊴∃⊬476)=NaN","reverse_text":"NaN=(((-∃⊬1B2E)∑⇟⊟(∃⊬12F3⊦⊿))↬(∃⊬599↙∃⊬623)⪮%⊝(⨑⩽⪐∃⊬10CE))⨟⋌⩍(⨰⫟⨤(↩∃⊬FCC)↬∃⊬429⊴∃⊬476)","cot":[{"info":"-∃⊬1B2E=∃⊬-1B2E","layer":3},{"info":"∃⊬12F3⊦⊿=∃⊬-3928","layer":3},{"info":"∃⊬-1B2E∑⇟⊟∃⊬-3928=NaN","layer":2},{"info":"∃⊬599↙∃⊬623=∃⊬-1269","layer":3},{"info":"⨑⩽⪐∃⊬10CE=∃⊬-FBD","layer":3},{"info":"∃⊬-1269⪮%⊝∃⊬-FBD=∃⊬-2396","layer":2},{"info":"NaN↬∃⊬-2396=NaN","layer":1},{"info":"↩∃⊬FCC=∃⊬-7384","layer":3},{"info":"∃⊬429⊴∃⊬476=NaN","layer":3},{"info":"∃⊬-7384↬NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":871,"expression_no_base_symbol":"⋗⩬⋾(($1526$≫≃)⨰($6280$∧)↺($2030$+$5667$)≭(↯⪼$5406$))","expression":"⋗⩬⋾((∃⊬5F6≫≃)⨰(∃⊬1888∧)↺(∃⊬7EE+∃⊬1623)≭(↯⪼∃⊬151E))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":15015,"operation_count":8,"complexity_ratio":1876.875,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1526,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6280,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2030,"base":16},"right_expr":{"type":"numeric_atoms","value":5667,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":5406,"base":16}}}}},"used_operators":["DpFCA1CohY","7j4O788W3g","eewbuw0ToL","X99M06cbEe","z63VuFQld9","rxpJgHHUmx","W4YGzv6Whe","8jW3W4yZS5"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1526","layer":4},{"info":"compute unary expreesion, input=1526, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=4453","layer":3},{"info":"number node, value=6280","layer":4},{"info":"compute unary expreesion, input=6280, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4453, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=2030","layer":4},{"info":"number node, value=5667","layer":4},{"info":"compute binary expreesion, left_input=2030, right_input=5667, op_id = W4YGzv6Whe binary_op_definition= 'None', output=7697","layer":3},{"info":"number node, value=5406","layer":4},{"info":"compute unary expreesion, input=5406, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=7697, right_input=-21, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⋗⩬⋾((∃⊬5F6≫≃)⨰(∃⊬1888∧)↺(∃⊬7EE+∃⊬1623)≭(↯⪼∃⊬151E))=NaN","reverse_text":"NaN=⋗⩬⋾((∃⊬5F6≫≃)⨰(∃⊬1888∧)↺(∃⊬7EE+∃⊬1623)≭(↯⪼∃⊬151E))","cot":[{"info":"∃⊬5F6≫≃=∃⊬1165","layer":3},{"info":"∃⊬1888∧=NaN","layer":3},{"info":"∃⊬1165⨰NaN=NaN","layer":2},{"info":"∃⊬7EE+∃⊬1623=∃⊬1E11","layer":3},{"info":"↯⪼∃⊬151E=∃⊬-15","layer":3},{"info":"∃⊬1E11≭∃⊬-15=NaN","layer":2},{"info":"NaN↺NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":872,"expression_no_base_symbol":"($3339$∼$2977$-($2985$∸))⇷($6971$⩠)⪢(↩$2355$)⩚⊴⇥((($5926$≫≃)⨵⪆($2292$⪨≂$1533$))⨁⊸⫻)","expression":"(∃⊬D0B∼∃⊬BA1-(∃⊬BA9∸))⇷(∃⊬1B3B⩠)⪢(↩∃⊬933)⩚⊴⇥(((∃⊬1726≫≃)⨵⪆(∃⊬8F4⪨≂∃⊬5FD))⨁⊸⫻)","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":16363,"operation_count":12,"complexity_ratio":1363.5833333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3339,"base":16},"right_expr":{"type":"numeric_atoms","value":2977,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2985,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":6971,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2355,"base":16}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":5926,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2292,"base":16},"right_expr":{"type":"numeric_atoms","value":1533,"base":16}}}}},"used_operators":["NTOWxs364D","mp7IySMOzn","rysDP5nf3Z","DyGG3AbaNP","o20kRiQErp","dWAJyo7jo9","sJAwomhLZr","jLgFTUHLKL","glklzrTFfD","2DQ55sFlQl","X99M06cbEe","sdazOOVcIp"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","k8jYdgA6NY","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3339","layer":4},{"info":"number node, value=2977","layer":4},{"info":"compute binary expreesion, left_input=3339, right_input=2977, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=2985","layer":4},{"info":"compute unary expreesion, input=2985, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=177, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=6971","layer":4},{"info":"compute unary expreesion, input=6971, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=2355","layer":4},{"info":"compute unary expreesion, input=2355, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16060","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-16060, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=5926","layer":4},{"info":"compute unary expreesion, input=5926, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=13253","layer":3},{"info":"number node, value=2292","layer":4},{"info":"number node, value=1533","layer":4},{"info":"compute binary expreesion, left_input=2292, right_input=1533, 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=1620","layer":3},{"info":"compute binary expreesion, left_input=13253, right_input=1620, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬D0B∼∃⊬BA1-(∃⊬BA9∸))⇷(∃⊬1B3B⩠)⪢(↩∃⊬933)⩚⊴⇥(((∃⊬1726≫≃)⨵⪆(∃⊬8F4⪨≂∃⊬5FD))⨁⊸⫻)=NaN","reverse_text":"NaN=(∃⊬D0B∼∃⊬BA1-(∃⊬BA9∸))⇷(∃⊬1B3B⩠)⪢(↩∃⊬933)⩚⊴⇥(((∃⊬1726≫≃)⨵⪆(∃⊬8F4⪨≂∃⊬5FD))⨁⊸⫻)","cot":[{"info":"∃⊬D0B∼∃⊬BA1=NaN","layer":3},{"info":"∃⊬BA9∸=∃⊬B1","layer":3},{"info":"NaN-∃⊬B1=NaN","layer":2},{"info":"∃⊬1B3B⩠=∃⊬0","layer":3},{"info":"↩∃⊬933=∃⊬-3EBC","layer":3},{"info":"∃⊬0⪢∃⊬-3EBC=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"∃⊬1726≫≃=∃⊬33C5","layer":3},{"info":"∃⊬8F4⪨≂∃⊬5FD=∃⊬654","layer":3},{"info":"∃⊬33C5⨵⪆∃⊬654=∃⊬A0","layer":2},{"info":"∃⊬A0⨁⊸⫻=∃⊬A0","layer":1},{"info":"NaN⩚⊴⇥∃⊬A0=NaN","layer":0}]}
{"id":873,"expression_no_base_symbol":"(⇁⨣⪵(($2468$+$9331$)⊦⊿))⪄(($1262$⪘⫢$5699$⨁⊸⫻)⊉≛↸($5175$⋳⪒$6065$)⨪↰⇹(↩$2640$))","expression":"(⇁⨣⪵((∃⊬9A4+∃⊬2473)⊦⊿))⪄((∃⊬4EE⪘⫢∃⊬1643⨁⊸⫻)⊉≛↸(∃⊬1437⋳⪒∃⊬17B1)⨪↰⇹(↩∃⊬A50))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":4069,"operation_count":10,"complexity_ratio":406.9,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2468,"base":16},"right_expr":{"type":"numeric_atoms","value":9331,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1262,"base":16},"right_expr":{"type":"numeric_atoms","value":5699,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5175,"base":16},"right_expr":{"type":"numeric_atoms","value":6065,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2640,"base":16}}}}},"used_operators":["SUmda5xLS4","inkyxCbjAn","14qkJME0vr","W4YGzv6Whe","DZ8iAZOCBD","glklzrTFfD","oacrs7FA3X","tmPS8pqC7x","12rbrZMWeM","jLgFTUHLKL"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","B5M0gjZbta","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2468","layer":4},{"info":"number node, value=9331","layer":4},{"info":"compute binary expreesion, left_input=2468, right_input=9331, op_id = W4YGzv6Whe binary_op_definition= 'None', output=11799","layer":3},{"info":"compute unary expreesion, input=11799, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-35476","layer":2},{"info":"compute unary expreesion, input=-35476, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1262","layer":4},{"info":"number node, value=5699","layer":4},{"info":"compute binary expreesion, left_input=1262, right_input=5699, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=2400","layer":3},{"info":"compute unary expreesion, input=2400, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=2400","layer":2},{"info":"number node, value=5175","layer":4},{"info":"number node, value=6065","layer":4},{"info":"compute binary expreesion, left_input=5175, right_input=6065, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3998","layer":3},{"info":"number node, value=2640","layer":4},{"info":"compute unary expreesion, input=2640, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-18340","layer":3},{"info":"compute binary expreesion, left_input=3998, right_input=-18340, 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=3998","layer":2},{"info":"compute binary expreesion, left_input=2400, right_input=3998, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4800","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=4800, 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":"(⇁⨣⪵((∃⊬9A4+∃⊬2473)⊦⊿))⪄((∃⊬4EE⪘⫢∃⊬1643⨁⊸⫻)⊉≛↸(∃⊬1437⋳⪒∃⊬17B1)⨪↰⇹(↩∃⊬A50))=∃⊬F8B","reverse_text":"∃⊬F8B=(⇁⨣⪵((∃⊬9A4+∃⊬2473)⊦⊿))⪄((∃⊬4EE⪘⫢∃⊬1643⨁⊸⫻)⊉≛↸(∃⊬1437⋳⪒∃⊬17B1)⨪↰⇹(↩∃⊬A50))","cot":[{"info":"∃⊬9A4+∃⊬2473=∃⊬2E17","layer":3},{"info":"∃⊬2E17⊦⊿=∃⊬-8A94","layer":2},{"info":"⇁⨣⪵∃⊬-8A94=NaN","layer":1},{"info":"∃⊬4EE⪘⫢∃⊬1643=∃⊬960","layer":3},{"info":"∃⊬960⨁⊸⫻=∃⊬960","layer":2},{"info":"∃⊬1437⋳⪒∃⊬17B1=∃⊬F9E","layer":3},{"info":"↩∃⊬A50=∃⊬-47A4","layer":3},{"info":"∃⊬F9E⨪↰⇹∃⊬-47A4=∃⊬F9E","layer":2},{"info":"∃⊬960⊉≛↸∃⊬F9E=∃⊬12C0","layer":1},{"info":"NaN⪄∃⊬12C0=∃⊬F8B","layer":0}]}
{"id":874,"expression_no_base_symbol":"(($1108$↛⩡⫤)⪢($4359$%$1268$)⨁⊸⫻)∀⇚≩(($6446$⪘⫢$3854$⋷$5586$⋳⪒$3994$)⋳⪒($8149$⩠)⨓($3331$↛⩡⫤))","expression":"((∃⊬454↛⩡⫤)⪢(∃⊬1107%∃⊬4F4)⨁⊸⫻)∀⇚≩((∃⊬192E⪘⫢∃⊬F0E⋷∃⊬15D2⋳⪒∃⊬F9A)⋳⪒(∃⊬1FD5⩠)⨓(∃⊬D03↛⩡⫤))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":802509,"operation_count":12,"complexity_ratio":66875.75,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1108,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4359,"base":16},"right_expr":{"type":"numeric_atoms","value":1268,"base":16}}}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":6446,"base":16},"right_expr":{"type":"numeric_atoms","value":3854,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":5586,"base":16},"right_expr":{"type":"numeric_atoms","value":3994,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8149,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":3331,"base":16}}}}},"used_operators":["LRNGc0VcxI","glklzrTFfD","dWAJyo7jo9","FU0Cs4j7VP","k8jYdgA6NY","12rbrZMWeM","23Mk6UjR3U","oacrs7FA3X","3ViojmjbAp","sJAwomhLZr"],"dependent_operators":["X99M06cbEe","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1108","layer":4},{"info":"compute unary expreesion, input=1108, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-163397","layer":3},{"info":"number node, value=4359","layer":4},{"info":"number node, value=1268","layer":4},{"info":"compute binary expreesion, left_input=4359, right_input=1268, op_id = k8jYdgA6NY binary_op_definition= 'None', output=555","layer":3},{"info":"compute binary expreesion, left_input=-163397, right_input=555, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":1},{"info":"number node, value=6446","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=6446, right_input=3854, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=12768","layer":3},{"info":"number node, value=5586","layer":4},{"info":"number node, value=3994","layer":4},{"info":"compute binary expreesion, left_input=5586, right_input=3994, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=6891","layer":3},{"info":"compute binary expreesion, left_input=12768, right_input=6891, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=1014","layer":2},{"info":"number node, value=8149","layer":4},{"info":"compute unary expreesion, input=8149, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=3331","layer":4},{"info":"compute unary expreesion, input=3331, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-499070","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-499070, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=499067","layer":2},{"info":"compute binary expreesion, left_input=1014, right_input=499067, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-497326","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-497326, 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":"((∃⊬454↛⩡⫤)⪢(∃⊬1107%∃⊬4F4)⨁⊸⫻)∀⇚≩((∃⊬192E⪘⫢∃⊬F0E⋷∃⊬15D2⋳⪒∃⊬F9A)⋳⪒(∃⊬1FD5⩠)⨓(∃⊬D03↛⩡⫤))=NaN","reverse_text":"NaN=((∃⊬454↛⩡⫤)⪢(∃⊬1107%∃⊬4F4)⨁⊸⫻)∀⇚≩((∃⊬192E⪘⫢∃⊬F0E⋷∃⊬15D2⋳⪒∃⊬F9A)⋳⪒(∃⊬1FD5⩠)⨓(∃⊬D03↛⩡⫤))","cot":[{"info":"∃⊬454↛⩡⫤=∃⊬-27E45","layer":3},{"info":"∃⊬1107%∃⊬4F4=∃⊬22B","layer":3},{"info":"∃⊬-27E45⪢∃⊬22B=NaN","layer":2},{"info":"NaN⨁⊸⫻=NaN","layer":1},{"info":"∃⊬192E⪘⫢∃⊬F0E=∃⊬31E0","layer":3},{"info":"∃⊬15D2⋳⪒∃⊬F9A=∃⊬1AEB","layer":3},{"info":"∃⊬31E0⋷∃⊬1AEB=∃⊬3F6","layer":2},{"info":"∃⊬1FD5⩠=∃⊬0","layer":3},{"info":"∃⊬D03↛⩡⫤=∃⊬-79D7E","layer":3},{"info":"∃⊬0⨓∃⊬-79D7E=∃⊬79D7B","layer":2},{"info":"∃⊬3F6⋳⪒∃⊬79D7B=∃⊬-796AE","layer":1},{"info":"NaN∀⇚≩∃⊬-796AE=NaN","layer":0}]}
{"id":875,"expression_no_base_symbol":"($2545$⪮%⊝$3562$⋓($1050$⋥≓≎$1816$)⨁⊸⫻)⫩⊇","expression":"(∃⊬9F1⪮%⊝∃⊬DEA⋓(∃⊬41A⋥≓≎∃⊬718)⨁⊸⫻)⫩⊇","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":31,"operation_count":5,"complexity_ratio":6.2,"tree":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2545,"base":16},"right_expr":{"type":"numeric_atoms","value":3562,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":1816,"base":16}}}}},"used_operators":["BjRHVeLaeN","glklzrTFfD","T2fj7uvVaJ","IWmyXbctLI","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬2A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2545","layer":4},{"info":"number node, value=3562","layer":4},{"info":"compute binary expreesion, left_input=2545, right_input=3562, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5406","layer":3},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1816","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1816, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2615","layer":3},{"info":"compute binary expreesion, left_input=5406, right_input=2615, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=42","layer":0}],"base":16,"result_base":16,"text":"(∃⊬9F1⪮%⊝∃⊬DEA⋓(∃⊬41A⋥≓≎∃⊬718)⨁⊸⫻)⫩⊇=∃⊬2A","reverse_text":"∃⊬2A=(∃⊬9F1⪮%⊝∃⊬DEA⋓(∃⊬41A⋥≓≎∃⊬718)⨁⊸⫻)⫩⊇","cot":[{"info":"∃⊬9F1⪮%⊝∃⊬DEA=∃⊬151E","layer":3},{"info":"∃⊬41A⋥≓≎∃⊬718=∃⊬A37","layer":3},{"info":"∃⊬151E⋓∃⊬A37=∃⊬0","layer":2},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":1},{"info":"∃⊬0⫩⊇=∃⊬2A","layer":0}]}
{"id":876,"expression_no_base_symbol":"(($3625$⨰$7088$)↬($2233$⨳⩥⨓$7174$)⨵⪆(⨑⩽⪐(⨰⫟⨤$1894$)))⇼⇔∾(⨈⫕($2577$≹⇙⪍$3766$⊠≄⫣))","expression":"((∃⊬E29⨰∃⊬1BB0)↬(∃⊬8B9⨳⩥⨓∃⊬1C06)⨵⪆(⨑⩽⪐(⨰⫟⨤∃⊬766)))⇼⇔∾(⨈⫕(∃⊬A11≹⇙⪍∃⊬EB6⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7146,"operation_count":10,"complexity_ratio":714.6,"tree":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3625,"base":16},"right_expr":{"type":"numeric_atoms","value":7088,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2233,"base":16},"right_expr":{"type":"numeric_atoms","value":7174,"base":16}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1894,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":2577,"base":16},"right_expr":{"type":"numeric_atoms","value":3766,"base":16}}}}},"used_operators":["tifHPKVTfV","2DQ55sFlQl","B5M0gjZbta","eewbuw0ToL","nCS4ZIUYfx","AF7qkfDlqP","Tw270M8GLb","megm06wKyl","DIvbN7qnHd","AHs5Up7iyr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9"],"result":"∃⊬-B5","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3625","layer":4},{"info":"number node, value=7088","layer":4},{"info":"compute binary expreesion, left_input=3625, right_input=7088, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-3453","layer":3},{"info":"number node, value=2233","layer":4},{"info":"number node, value=7174","layer":4},{"info":"compute binary expreesion, left_input=2233, right_input=7174, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=4941","layer":3},{"info":"compute binary expreesion, left_input=-3453, right_input=4941, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1894","layer":4},{"info":"compute unary expreesion, input=1894, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":1},{"info":"number node, value=2577","layer":4},{"info":"number node, value=3766","layer":4},{"info":"compute binary expreesion, left_input=2577, right_input=3766, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=160, right_input=-21, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-181","layer":0}],"base":16,"result_base":16,"text":"((∃⊬E29⨰∃⊬1BB0)↬(∃⊬8B9⨳⩥⨓∃⊬1C06)⨵⪆(⨑⩽⪐(⨰⫟⨤∃⊬766)))⇼⇔∾(⨈⫕(∃⊬A11≹⇙⪍∃⊬EB6⊠≄⫣))=∃⊬-B5","reverse_text":"∃⊬-B5=((∃⊬E29⨰∃⊬1BB0)↬(∃⊬8B9⨳⩥⨓∃⊬1C06)⨵⪆(⨑⩽⪐(⨰⫟⨤∃⊬766)))⇼⇔∾(⨈⫕(∃⊬A11≹⇙⪍∃⊬EB6⊠≄⫣))","cot":[{"info":"∃⊬E29⨰∃⊬1BB0=∃⊬-D7D","layer":3},{"info":"∃⊬8B9⨳⩥⨓∃⊬1C06=∃⊬134D","layer":3},{"info":"∃⊬-D7D↬∃⊬134D=NaN","layer":2},{"info":"⨰⫟⨤∃⊬766=NaN","layer":3},{"info":"⨑⩽⪐NaN=NaN","layer":2},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":1},{"info":"∃⊬A11≹⇙⪍∃⊬EB6=NaN","layer":3},{"info":"NaN⊠≄⫣=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"∃⊬A0⇼⇔∾∃⊬-15=∃⊬-B5","layer":0}]}
{"id":877,"expression_no_base_symbol":"((↣≠⋷($2623$⇼⇔∾$7661$))⋓((≦∁$2085$)⫸⊐$1016$≭$4284$))∑⇟⊟(($1013$⪨≂$1264$⪨≂$1107$∼$2537$)⨓(($3495$%$1483$)↙$6930$⋥≓≎$5622$))","expression":"((↣≠⋷(∃⊬A3F⇼⇔∾∃⊬1DED))⋓((≦∁∃⊬825)⫸⊐∃⊬3F8≭∃⊬10BC))∑⇟⊟((∃⊬3F5⪨≂∃⊬4F0⪨≂∃⊬453∼∃⊬9E9)⨓((∃⊬DA7%∃⊬5CB)↙∃⊬1B12⋥≓≎∃⊬15F6))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":17479,"operation_count":14,"complexity_ratio":1248.5,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":2623,"base":16},"right_expr":{"type":"numeric_atoms","value":7661,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":2085,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1016,"base":16},"right_expr":{"type":"numeric_atoms","value":4284,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1013,"base":16},"right_expr":{"type":"numeric_atoms","value":1264,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1107,"base":16},"right_expr":{"type":"numeric_atoms","value":2537,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3495,"base":16},"right_expr":{"type":"numeric_atoms","value":1483,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":6930,"base":16},"right_expr":{"type":"numeric_atoms","value":5622,"base":16}}}}},"used_operators":["U7g4x0WXJJ","T2fj7uvVaJ","Asc51vEJeQ","tifHPKVTfV","mqXw5SEYmG","9ICcGScMcE","rxpJgHHUmx","3ViojmjbAp","sdazOOVcIp","DyGG3AbaNP","yyfyN0ffXY","k8jYdgA6NY","Qy55tPpLXF"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","AHs5Up7iyr","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2623","layer":4},{"info":"number node, value=7661","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=7661, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=5038","layer":3},{"info":"compute unary expreesion, input=5038, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":2},{"info":"number node, value=2085","layer":4},{"info":"compute unary expreesion, input=2085, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2085","layer":3},{"info":"number node, value=1016","layer":4},{"info":"number node, value=4284","layer":4},{"info":"compute binary expreesion, left_input=1016, right_input=4284, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2085, 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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1013","layer":4},{"info":"number node, value=1264","layer":4},{"info":"compute binary expreesion, left_input=1013, right_input=1264, 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=-400","layer":3},{"info":"number node, value=1107","layer":4},{"info":"number node, value=2537","layer":4},{"info":"compute binary expreesion, left_input=1107, right_input=2537, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-400, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"number node, value=3495","layer":4},{"info":"number node, value=1483","layer":4},{"info":"compute binary expreesion, left_input=3495, right_input=1483, op_id = k8jYdgA6NY binary_op_definition= 'None', output=529","layer":3},{"info":"number node, value=6930","layer":4},{"info":"number node, value=5622","layer":4},{"info":"compute binary expreesion, left_input=6930, right_input=5622, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=4347","layer":3},{"info":"compute binary expreesion, left_input=529, right_input=4347, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-13041","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-13041, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-13044","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-13044, 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":"((↣≠⋷(∃⊬A3F⇼⇔∾∃⊬1DED))⋓((≦∁∃⊬825)⫸⊐∃⊬3F8≭∃⊬10BC))∑⇟⊟((∃⊬3F5⪨≂∃⊬4F0⪨≂∃⊬453∼∃⊬9E9)⨓((∃⊬DA7%∃⊬5CB)↙∃⊬1B12⋥≓≎∃⊬15F6))=NaN","reverse_text":"NaN=((↣≠⋷(∃⊬A3F⇼⇔∾∃⊬1DED))⋓((≦∁∃⊬825)⫸⊐∃⊬3F8≭∃⊬10BC))∑⇟⊟((∃⊬3F5⪨≂∃⊬4F0⪨≂∃⊬453∼∃⊬9E9)⨓((∃⊬DA7%∃⊬5CB)↙∃⊬1B12⋥≓≎∃⊬15F6))","cot":[{"info":"∃⊬A3F⇼⇔∾∃⊬1DED=∃⊬13AE","layer":3},{"info":"↣≠⋷∃⊬13AE=NaN","layer":2},{"info":"≦∁∃⊬825=∃⊬825","layer":3},{"info":"∃⊬3F8≭∃⊬10BC=NaN","layer":3},{"info":"∃⊬825⫸⊐NaN=NaN","layer":2},{"info":"NaN⋓NaN=NaN","layer":1},{"info":"∃⊬3F5⪨≂∃⊬4F0=∃⊬-190","layer":3},{"info":"∃⊬453∼∃⊬9E9=NaN","layer":3},{"info":"∃⊬-190⪨≂NaN=NaN","layer":2},{"info":"∃⊬DA7%∃⊬5CB=∃⊬211","layer":3},{"info":"∃⊬1B12⋥≓≎∃⊬15F6=∃⊬10FB","layer":3},{"info":"∃⊬211↙∃⊬10FB=∃⊬-32F1","layer":2},{"info":"NaN⨓∃⊬-32F1=∃⊬-32F4","layer":1},{"info":"NaN∑⇟⊟∃⊬-32F4=NaN","layer":0}]}
{"id":878,"expression_no_base_symbol":"((⫓⪴($6407$⨳⩥⨓$2040$))⪨≂$8163$⫥∨⫟$2482$↺($7732$⫡⨏$1455$))%($3223$⪛$6852$⨪↰⇹($2896$⊉≛↸$6036$)/(↯⪼$4101$)-$5691$⪘⫢$2710$)","expression":"((⫓⪴(∃⊬1907⨳⩥⨓∃⊬7F8))⪨≂∃⊬1FE3⫥∨⫟∃⊬9B2↺(∃⊬1E34⫡⨏∃⊬5AF))%(∃⊬C97⪛∃⊬1AC4⨪↰⇹(∃⊬B50⊉≛↸∃⊬1794)/(↯⪼∃⊬1005)-∃⊬163B⪘⫢∃⊬A96)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":38064589,"operation_count":14,"complexity_ratio":2718899.214285714,"tree":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":6407,"base":16},"right_expr":{"type":"numeric_atoms","value":2040,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8163,"base":16},"right_expr":{"type":"numeric_atoms","value":2482,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7732,"base":16},"right_expr":{"type":"numeric_atoms","value":1455,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3223,"base":16},"right_expr":{"type":"numeric_atoms","value":6852,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2896,"base":16},"right_expr":{"type":"numeric_atoms","value":6036,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4101,"base":16}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":5691,"base":16},"right_expr":{"type":"numeric_atoms","value":2710,"base":16}}}}},"used_operators":["k8jYdgA6NY","sdazOOVcIp","eLxqMNBOBk","nCS4ZIUYfx","7j4O788W3g","KYD54nUTWz","QMFrweE19q","XhwjNDsVaA","tmPS8pqC7x","uFcxV4UQCh","DZ8iAZOCBD","rysDP5nf3Z","8jW3W4yZS5","oacrs7FA3X"],"dependent_operators":["rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rJVOvQCfKK","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6407","layer":4},{"info":"number node, value=2040","layer":4},{"info":"compute binary expreesion, left_input=6407, right_input=2040, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4367","layer":3},{"info":"compute unary expreesion, input=-4367, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=19070689","layer":2},{"info":"number node, value=8163","layer":4},{"info":"number node, value=2482","layer":4},{"info":"compute binary expreesion, left_input=8163, right_input=2482, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=7732","layer":4},{"info":"number node, value=1455","layer":4},{"info":"compute binary expreesion, left_input=7732, right_input=1455, 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=42353","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=42353, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=42353","layer":2},{"info":"compute binary expreesion, left_input=19070689, right_input=42353, 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=38056774","layer":1},{"info":"number node, value=3223","layer":4},{"info":"number node, value=6852","layer":4},{"info":"compute binary expreesion, left_input=3223, right_input=6852, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3223","layer":3},{"info":"number node, value=2896","layer":4},{"info":"number node, value=6036","layer":4},{"info":"compute binary expreesion, left_input=2896, right_input=6036, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5792","layer":3},{"info":"compute binary expreesion, left_input=3223, right_input=5792, 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=3223","layer":2},{"info":"number node, value=4101","layer":4},{"info":"compute unary expreesion, input=4101, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=5691","layer":4},{"info":"number node, value=2710","layer":4},{"info":"compute binary expreesion, left_input=5691, right_input=2710, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=11258","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=11258, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-11279","layer":2},{"info":"compute binary expreesion, left_input=3223, right_input=-11279, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-1","layer":1},{"info":"compute binary expreesion, left_input=38056774, right_input=-1, op_id = k8jYdgA6NY binary_op_definition= 'None', output=0","layer":0}],"base":16,"result_base":16,"text":"((⫓⪴(∃⊬1907⨳⩥⨓∃⊬7F8))⪨≂∃⊬1FE3⫥∨⫟∃⊬9B2↺(∃⊬1E34⫡⨏∃⊬5AF))%(∃⊬C97⪛∃⊬1AC4⨪↰⇹(∃⊬B50⊉≛↸∃⊬1794)/(↯⪼∃⊬1005)-∃⊬163B⪘⫢∃⊬A96)=∃⊬0","reverse_text":"∃⊬0=((⫓⪴(∃⊬1907⨳⩥⨓∃⊬7F8))⪨≂∃⊬1FE3⫥∨⫟∃⊬9B2↺(∃⊬1E34⫡⨏∃⊬5AF))%(∃⊬C97⪛∃⊬1AC4⨪↰⇹(∃⊬B50⊉≛↸∃⊬1794)/(↯⪼∃⊬1005)-∃⊬163B⪘⫢∃⊬A96)","cot":[{"info":"∃⊬1907⨳⩥⨓∃⊬7F8=∃⊬-110F","layer":3},{"info":"⫓⪴∃⊬-110F=∃⊬122FEE1","layer":2},{"info":"∃⊬1FE3⫥∨⫟∃⊬9B2=NaN","layer":3},{"info":"∃⊬1E34⫡⨏∃⊬5AF=∃⊬A571","layer":3},{"info":"NaN↺∃⊬A571=∃⊬A571","layer":2},{"info":"∃⊬122FEE1⪨≂∃⊬A571=∃⊬244B346","layer":1},{"info":"∃⊬C97⪛∃⊬1AC4=∃⊬C97","layer":3},{"info":"∃⊬B50⊉≛↸∃⊬1794=∃⊬16A0","layer":3},{"info":"∃⊬C97⨪↰⇹∃⊬16A0=∃⊬C97","layer":2},{"info":"↯⪼∃⊬1005=∃⊬-15","layer":3},{"info":"∃⊬163B⪘⫢∃⊬A96=∃⊬2BFA","layer":3},{"info":"∃⊬-15-∃⊬2BFA=∃⊬-2C0F","layer":2},{"info":"∃⊬C97/∃⊬-2C0F=∃⊬-1","layer":1},{"info":"∃⊬244B346%∃⊬-1=∃⊬0","layer":0}]}
{"id":879,"expression_no_base_symbol":"($5436$⇷$1990$⨳⩥⨓$2308$≭$2352$)⋳⪒($1346$⩷∴$3901$/($1612$⫩⊇))+($3128$⨰$1653$⫡⨏$1585$≹⇙⪍$4624$)⫸⊐(($8225$↛⩡⫤)⩨$1003$⋥≓≎$3542$)","expression":"(∃⊬153C⇷∃⊬7C6⨳⩥⨓∃⊬904≭∃⊬930)⋳⪒(∃⊬542⩷∴∃⊬F3D/(∃⊬64C⫩⊇))+(∃⊬C38⨰∃⊬675⫡⨏∃⊬631≹⇙⪍∃⊬1210)⫸⊐((∃⊬2021↛⩡⫤)⩨∃⊬3EB⋥≓≎∃⊬DD6)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":100968,"operation_count":15,"complexity_ratio":6731.2,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5436,"base":16},"right_expr":{"type":"numeric_atoms","value":1990,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2308,"base":16},"right_expr":{"type":"numeric_atoms","value":2352,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1346,"base":16},"right_expr":{"type":"numeric_atoms","value":3901,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":1612,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3128,"base":16},"right_expr":{"type":"numeric_atoms","value":1653,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":1585,"base":16},"right_expr":{"type":"numeric_atoms","value":4624,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":8225,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":3542,"base":16}}}}},"used_operators":["W4YGzv6Whe","12rbrZMWeM","nCS4ZIUYfx","mp7IySMOzn","rxpJgHHUmx","XhwjNDsVaA","9FxExcQeMw","BjRHVeLaeN","mqXw5SEYmG","QMFrweE19q","eewbuw0ToL","AHs5Up7iyr","2DlMacCsIx","FU0Cs4j7VP","Qy55tPpLXF"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5436","layer":4},{"info":"number node, value=1990","layer":4},{"info":"compute binary expreesion, left_input=5436, right_input=1990, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3980","layer":3},{"info":"number node, value=2308","layer":4},{"info":"number node, value=2352","layer":4},{"info":"compute binary expreesion, left_input=2308, right_input=2352, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3980, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":2},{"info":"number node, value=1346","layer":4},{"info":"number node, value=3901","layer":4},{"info":"compute binary expreesion, left_input=1346, right_input=3901, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5142","layer":3},{"info":"number node, value=1612","layer":4},{"info":"compute unary expreesion, input=1612, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1570","layer":3},{"info":"compute binary expreesion, left_input=-5142, right_input=-1570, op_id = XhwjNDsVaA binary_op_definition= 'None', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3128","layer":4},{"info":"number node, value=1653","layer":4},{"info":"compute binary expreesion, left_input=3128, right_input=1653, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1485","layer":3},{"info":"number node, value=1585","layer":4},{"info":"number node, value=4624","layer":4},{"info":"compute binary expreesion, left_input=1585, right_input=4624, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1485, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"number node, value=8225","layer":4},{"info":"compute unary expreesion, input=8225, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1238064","layer":3},{"info":"number node, value=1003","layer":4},{"info":"number node, value=3542","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=3542, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=6114","layer":3},{"info":"compute binary expreesion, left_input=-1238064, right_input=6114, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=3","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬153C⇷∃⊬7C6⨳⩥⨓∃⊬904≭∃⊬930)⋳⪒(∃⊬542⩷∴∃⊬F3D/(∃⊬64C⫩⊇))+(∃⊬C38⨰∃⊬675⫡⨏∃⊬631≹⇙⪍∃⊬1210)⫸⊐((∃⊬2021↛⩡⫤)⩨∃⊬3EB⋥≓≎∃⊬DD6)=NaN","reverse_text":"NaN=(∃⊬153C⇷∃⊬7C6⨳⩥⨓∃⊬904≭∃⊬930)⋳⪒(∃⊬542⩷∴∃⊬F3D/(∃⊬64C⫩⊇))+(∃⊬C38⨰∃⊬675⫡⨏∃⊬631≹⇙⪍∃⊬1210)⫸⊐((∃⊬2021↛⩡⫤)⩨∃⊬3EB⋥≓≎∃⊬DD6)","cot":[{"info":"∃⊬153C⇷∃⊬7C6=∃⊬F8C","layer":3},{"info":"∃⊬904≭∃⊬930=NaN","layer":3},{"info":"∃⊬F8C⨳⩥⨓NaN=NaN","layer":2},{"info":"∃⊬542⩷∴∃⊬F3D=∃⊬-1416","layer":3},{"info":"∃⊬64C⫩⊇=∃⊬-622","layer":3},{"info":"∃⊬-1416/∃⊬-622=∃⊬3","layer":2},{"info":"NaN⋳⪒∃⊬3=NaN","layer":1},{"info":"∃⊬C38⨰∃⊬675=∃⊬5CD","layer":3},{"info":"∃⊬631≹⇙⪍∃⊬1210=NaN","layer":3},{"info":"∃⊬5CD⫡⨏NaN=NaN","layer":2},{"info":"∃⊬2021↛⩡⫤=∃⊬-12E430","layer":3},{"info":"∃⊬3EB⋥≓≎∃⊬DD6=∃⊬17E2","layer":3},{"info":"∃⊬-12E430⩨∃⊬17E2=∃⊬3","layer":2},{"info":"NaN⫸⊐∃⊬3=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":880,"expression_no_base_symbol":"⫛⫱⨽((∥⊫$3578$)⪢($2993$≧⫂∧$4999$)⊉≛↸$3926$⪛$8138$⨽(+⊝⨔$1749$))","expression":"⫛⫱⨽((∥⊫∃⊬DFA)⪢(∃⊬BB1≧⫂∧∃⊬1387)⊉≛↸∃⊬F56⪛∃⊬1FCA⨽(+⊝⨔∃⊬6D5))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9424,"operation_count":8,"complexity_ratio":1178.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3578,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":2993,"base":16},"right_expr":{"type":"numeric_atoms","value":4999,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3926,"base":16},"right_expr":{"type":"numeric_atoms","value":8138,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1749,"base":16}}}}},"used_operators":["DlLNRPXxWL","DZ8iAZOCBD","dWAJyo7jo9","P8v4zCKN1o","Ph9nP6C5qx","8HhzD0ZcuI","uFcxV4UQCh","DhbWaqg5eL"],"dependent_operators":["rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3578","layer":4},{"info":"compute unary expreesion, input=3578, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4446","layer":3},{"info":"number node, value=2993","layer":4},{"info":"number node, value=4999","layer":4},{"info":"compute binary expreesion, left_input=2993, right_input=4999, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=4526","layer":3},{"info":"compute binary expreesion, left_input=4446, right_input=4526, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=3926","layer":4},{"info":"number node, value=8138","layer":4},{"info":"compute binary expreesion, left_input=3926, right_input=8138, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=3926","layer":3},{"info":"number node, value=1749","layer":4},{"info":"compute unary expreesion, input=1749, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=3926, right_input=1522, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-46243680","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-46243680, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-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":"⫛⫱⨽((∥⊫∃⊬DFA)⪢(∃⊬BB1≧⫂∧∃⊬1387)⊉≛↸∃⊬F56⪛∃⊬1FCA⨽(+⊝⨔∃⊬6D5))=NaN","reverse_text":"NaN=⫛⫱⨽((∥⊫∃⊬DFA)⪢(∃⊬BB1≧⫂∧∃⊬1387)⊉≛↸∃⊬F56⪛∃⊬1FCA⨽(+⊝⨔∃⊬6D5))","cot":[{"info":"∥⊫∃⊬DFA=∃⊬115E","layer":3},{"info":"∃⊬BB1≧⫂∧∃⊬1387=∃⊬11AE","layer":3},{"info":"∃⊬115E⪢∃⊬11AE=NaN","layer":2},{"info":"∃⊬F56⪛∃⊬1FCA=∃⊬F56","layer":3},{"info":"+⊝⨔∃⊬6D5=∃⊬5F2","layer":3},{"info":"∃⊬F56⨽∃⊬5F2=∃⊬-2C19F60","layer":2},{"info":"NaN⊉≛↸∃⊬-2C19F60=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":881,"expression_no_base_symbol":"(($6005$≣⋋)↺($3921$⊭↱$2897$))⪢((∥⊫$3873$)⋓$3695$⨪↰⇹$2541$)⋥≓≎(((⨞⊢$1380$)⋳⪒($1471$⨐⩸⫘$3495$))⇋≉)","expression":"((∃⊬1775≣⋋)↺(∃⊬F51⊭↱∃⊬B51))⪢((∥⊫∃⊬F21)⋓∃⊬E6F⨪↰⇹∃⊬9ED)⋥≓≎(((⨞⊢∃⊬564)⋳⪒(∃⊬5BF⨐⩸⫘∃⊬DA7))⇋≉)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":4252,"operation_count":12,"complexity_ratio":354.3333333333333,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":6005,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3921,"base":16},"right_expr":{"type":"numeric_atoms","value":2897,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":3873,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":3695,"base":16},"right_expr":{"type":"numeric_atoms","value":2541,"base":16}}}},"right_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":1380,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1471,"base":16},"right_expr":{"type":"numeric_atoms","value":3495,"base":16}}}}},"used_operators":["Qy55tPpLXF","dWAJyo7jo9","7j4O788W3g","Tcnh7f0tEr","COABgblf1C","T2fj7uvVaJ","P8v4zCKN1o","tmPS8pqC7x","XIabStNQrY","12rbrZMWeM","xUOZtlo3hN","fu6greOZ01"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6005","layer":4},{"info":"compute unary expreesion, input=6005, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=3921","layer":4},{"info":"number node, value=2897","layer":4},{"info":"compute binary expreesion, left_input=3921, right_input=2897, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2043","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2043, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-2043","layer":2},{"info":"number node, value=3873","layer":4},{"info":"compute unary expreesion, input=3873, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=4741","layer":3},{"info":"number node, value=3695","layer":4},{"info":"number node, value=2541","layer":4},{"info":"compute binary expreesion, left_input=3695, right_input=2541, 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=3695","layer":3},{"info":"compute binary expreesion, left_input=4741, right_input=3695, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-2043, right_input=0, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=0","layer":1},{"info":"number node, value=1380","layer":4},{"info":"compute unary expreesion, input=1380, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1554","layer":3},{"info":"number node, value=1471","layer":4},{"info":"number node, value=3495","layer":4},{"info":"compute binary expreesion, left_input=1471, right_input=3495, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-1554, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', 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":"((∃⊬1775≣⋋)↺(∃⊬F51⊭↱∃⊬B51))⪢((∥⊫∃⊬F21)⋓∃⊬E6F⨪↰⇹∃⊬9ED)⋥≓≎(((⨞⊢∃⊬564)⋳⪒(∃⊬5BF⨐⩸⫘∃⊬DA7))⇋≉)=NaN","reverse_text":"NaN=((∃⊬1775≣⋋)↺(∃⊬F51⊭↱∃⊬B51))⪢((∥⊫∃⊬F21)⋓∃⊬E6F⨪↰⇹∃⊬9ED)⋥≓≎(((⨞⊢∃⊬564)⋳⪒(∃⊬5BF⨐⩸⫘∃⊬DA7))⇋≉)","cot":[{"info":"∃⊬1775≣⋋=∃⊬0","layer":3},{"info":"∃⊬F51⊭↱∃⊬B51=∃⊬-7FB","layer":3},{"info":"∃⊬0↺∃⊬-7FB=∃⊬-7FB","layer":2},{"info":"∥⊫∃⊬F21=∃⊬1285","layer":3},{"info":"∃⊬E6F⨪↰⇹∃⊬9ED=∃⊬E6F","layer":3},{"info":"∃⊬1285⋓∃⊬E6F=∃⊬0","layer":2},{"info":"∃⊬-7FB⪢∃⊬0=∃⊬0","layer":1},{"info":"⨞⊢∃⊬564=∃⊬-612","layer":3},{"info":"∃⊬5BF⨐⩸⫘∃⊬DA7=NaN","layer":3},{"info":"∃⊬-612⋳⪒NaN=NaN","layer":2},{"info":"NaN⇋≉=NaN","layer":1},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":0}]}
{"id":882,"expression_no_base_symbol":"(($1199$⨐⩸⫘$4363$)⋳⪒$5228$⇷$1621$⨐⩸⫘$3399$⪘⫢$3865$⨰($9516$%$4454$))⪘⫢(($5333$⩤)+⇶⊼$2096$⇷$1733$⫸⊐($1498$⨸⪁$7869$)⋝⋈⪟($3424$⇼⇔∾$5444$))","expression":"((∃⊬4AF⨐⩸⫘∃⊬110B)⋳⪒∃⊬146C⇷∃⊬655⨐⩸⫘∃⊬D47⪘⫢∃⊬F19⨰(∃⊬252C%∃⊬1166))⪘⫢((∃⊬14D5⩤)+⇶⊼∃⊬830⇷∃⊬6C5⫸⊐(∃⊬5DA⨸⪁∃⊬1EBD)⋝⋈⪟(∃⊬D60⇼⇔∾∃⊬1544))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":102603,"operation_count":15,"complexity_ratio":6840.2,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":1199,"base":16},"right_expr":{"type":"numeric_atoms","value":4363,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5228,"base":16},"right_expr":{"type":"numeric_atoms","value":1621,"base":16}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3399,"base":16},"right_expr":{"type":"numeric_atoms","value":3865,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":9516,"base":16},"right_expr":{"type":"numeric_atoms","value":4454,"base":16}}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5333,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2096,"base":16},"right_expr":{"type":"numeric_atoms","value":1733,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1498,"base":16},"right_expr":{"type":"numeric_atoms","value":7869,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3424,"base":16},"right_expr":{"type":"numeric_atoms","value":5444,"base":16}}}}},"used_operators":["oacrs7FA3X","fu6greOZ01","12rbrZMWeM","mp7IySMOzn","eewbuw0ToL","k8jYdgA6NY","mqXw5SEYmG","TpPTUOHfaN","Z2TMIBDE3Q","2DDjHMKMc0","g55IO6H4Gj","tifHPKVTfV"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1199","layer":4},{"info":"number node, value=4363","layer":4},{"info":"compute binary expreesion, left_input=1199, right_input=4363, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=5228","layer":4},{"info":"number node, value=1621","layer":4},{"info":"compute binary expreesion, left_input=5228, right_input=1621, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3242","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3242, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=3399","layer":4},{"info":"number node, value=3865","layer":4},{"info":"compute binary expreesion, left_input=3399, right_input=3865, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6674","layer":3},{"info":"number node, value=9516","layer":4},{"info":"number node, value=4454","layer":4},{"info":"compute binary expreesion, left_input=9516, right_input=4454, op_id = k8jYdgA6NY binary_op_definition= 'None', output=608","layer":3},{"info":"compute binary expreesion, left_input=6674, right_input=608, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=6076","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=6076, 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=5333","layer":4},{"info":"compute unary expreesion, input=5333, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5333","layer":3},{"info":"number node, value=2096","layer":4},{"info":"number node, value=1733","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=1733, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3466","layer":3},{"info":"compute binary expreesion, left_input=-5333, right_input=3466, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1498","layer":4},{"info":"number node, value=7869","layer":4},{"info":"compute binary expreesion, left_input=1498, right_input=7869, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=18734","layer":3},{"info":"number node, value=3424","layer":4},{"info":"number node, value=5444","layer":4},{"info":"compute binary expreesion, left_input=3424, right_input=5444, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2020","layer":3},{"info":"compute binary expreesion, left_input=18734, right_input=2020, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=18734","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=18734, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"((∃⊬4AF⨐⩸⫘∃⊬110B)⋳⪒∃⊬146C⇷∃⊬655⨐⩸⫘∃⊬D47⪘⫢∃⊬F19⨰(∃⊬252C%∃⊬1166))⪘⫢((∃⊬14D5⩤)+⇶⊼∃⊬830⇷∃⊬6C5⫸⊐(∃⊬5DA⨸⪁∃⊬1EBD)⋝⋈⪟(∃⊬D60⇼⇔∾∃⊬1544))=NaN","reverse_text":"NaN=((∃⊬4AF⨐⩸⫘∃⊬110B)⋳⪒∃⊬146C⇷∃⊬655⨐⩸⫘∃⊬D47⪘⫢∃⊬F19⨰(∃⊬252C%∃⊬1166))⪘⫢((∃⊬14D5⩤)+⇶⊼∃⊬830⇷∃⊬6C5⫸⊐(∃⊬5DA⨸⪁∃⊬1EBD)⋝⋈⪟(∃⊬D60⇼⇔∾∃⊬1544))","cot":[{"info":"∃⊬4AF⨐⩸⫘∃⊬110B=NaN","layer":3},{"info":"∃⊬146C⇷∃⊬655=∃⊬CAA","layer":3},{"info":"NaN⋳⪒∃⊬CAA=NaN","layer":2},{"info":"∃⊬D47⪘⫢∃⊬F19=∃⊬1A12","layer":3},{"info":"∃⊬252C%∃⊬1166=∃⊬260","layer":3},{"info":"∃⊬1A12⨰∃⊬260=∃⊬17BC","layer":2},{"info":"NaN⨐⩸⫘∃⊬17BC=NaN","layer":1},{"info":"∃⊬14D5⩤=∃⊬-14D5","layer":3},{"info":"∃⊬830⇷∃⊬6C5=∃⊬D8A","layer":3},{"info":"∃⊬-14D5+⇶⊼∃⊬D8A=NaN","layer":2},{"info":"∃⊬5DA⨸⪁∃⊬1EBD=∃⊬492E","layer":3},{"info":"∃⊬D60⇼⇔∾∃⊬1544=∃⊬7E4","layer":3},{"info":"∃⊬492E⋝⋈⪟∃⊬7E4=∃⊬492E","layer":2},{"info":"NaN⫸⊐∃⊬492E=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":883,"expression_no_base_symbol":"(($3346$⪐)⨪↰⇹$2298$⪮%⊝$1979$)⇷((⋗⩬⋾$2247$)⨽(∂$3276$))+(∂(+⊝⨔$1928$))⊉≛↸(↩$2382$)⨓$4316$⨟⋌⩍$2044$","expression":"((∃⊬D12⪐)⨪↰⇹∃⊬8FA⪮%⊝∃⊬7BB)⇷((⋗⩬⋾∃⊬8C7)⨽(∂∃⊬CCC))+(∂(+⊝⨔∃⊬788))⊉≛↸(↩∃⊬94E)⨓∃⊬10DC⨟⋌⩍∃⊬7FC","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":107219,"operation_count":14,"complexity_ratio":7658.5,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":3346,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2298,"base":16},"right_expr":{"type":"numeric_atoms","value":1979,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2247,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":3276,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1928,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2382,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4316,"base":16},"right_expr":{"type":"numeric_atoms","value":2044,"base":16}}}}},"used_operators":["W4YGzv6Whe","mp7IySMOzn","tmPS8pqC7x","eH2TOUuTDT","IWmyXbctLI","8HhzD0ZcuI","DpFCA1CohY","Uaa54Peajs","DZ8iAZOCBD","DhbWaqg5eL","3ViojmjbAp","jLgFTUHLKL","rGHVDoGpnC"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3346","layer":4},{"info":"compute unary expreesion, input=3346, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=6692","layer":3},{"info":"number node, value=2298","layer":4},{"info":"number node, value=1979","layer":4},{"info":"compute binary expreesion, left_input=2298, right_input=1979, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=4912","layer":3},{"info":"compute binary expreesion, left_input=6692, right_input=4912, 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=6692","layer":2},{"info":"number node, value=2247","layer":4},{"info":"compute unary expreesion, input=2247, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6741","layer":3},{"info":"number node, value=3276","layer":4},{"info":"compute unary expreesion, input=3276, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6741, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=6692, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1928","layer":4},{"info":"compute unary expreesion, input=1928, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=2382","layer":4},{"info":"compute unary expreesion, input=2382, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-16276","layer":3},{"info":"number node, value=4316","layer":4},{"info":"number node, value=2044","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=2044, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-16276, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬D12⪐)⨪↰⇹∃⊬8FA⪮%⊝∃⊬7BB)⇷((⋗⩬⋾∃⊬8C7)⨽(∂∃⊬CCC))+(∂(+⊝⨔∃⊬788))⊉≛↸(↩∃⊬94E)⨓∃⊬10DC⨟⋌⩍∃⊬7FC=NaN","reverse_text":"NaN=((∃⊬D12⪐)⨪↰⇹∃⊬8FA⪮%⊝∃⊬7BB)⇷((⋗⩬⋾∃⊬8C7)⨽(∂∃⊬CCC))+(∂(+⊝⨔∃⊬788))⊉≛↸(↩∃⊬94E)⨓∃⊬10DC⨟⋌⩍∃⊬7FC","cot":[{"info":"∃⊬D12⪐=∃⊬1A24","layer":3},{"info":"∃⊬8FA⪮%⊝∃⊬7BB=∃⊬1330","layer":3},{"info":"∃⊬1A24⨪↰⇹∃⊬1330=∃⊬1A24","layer":2},{"info":"⋗⩬⋾∃⊬8C7=∃⊬-1A55","layer":3},{"info":"∂∃⊬CCC=NaN","layer":3},{"info":"∃⊬-1A55⨽NaN=NaN","layer":2},{"info":"∃⊬1A24⇷NaN=NaN","layer":1},{"info":"+⊝⨔∃⊬788=∃⊬5F2","layer":3},{"info":"∂∃⊬5F2=NaN","layer":2},{"info":"↩∃⊬94E=∃⊬-3F94","layer":3},{"info":"∃⊬10DC⨟⋌⩍∃⊬7FC=NaN","layer":3},{"info":"∃⊬-3F94⨓NaN=NaN","layer":2},{"info":"NaN⊉≛↸NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":884,"expression_no_base_symbol":"($6175$∧)⋓(∂$1497$)⋓((⨈⫕$3853$)⊭↱($1684$⪨≂$1052$))⊭↱(($6616$≭$2313$%$6499$-$4153$)*($1754$≎⊠⪸$7237$)⨪↰⇹($3404$⊠≄⫣))","expression":"(∃⊬181F∧)⋓(∂∃⊬5D9)⋓((⨈⫕∃⊬F0D)⊭↱(∃⊬694⪨≂∃⊬41C))⊭↱((∃⊬19D8≭∃⊬909%∃⊬1963-∃⊬1039)*(∃⊬6DA≎⊠⪸∃⊬1C45)⨪↰⇹(∃⊬D4C⊠≄⫣))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":454526,"operation_count":15,"complexity_ratio":30301.733333333334,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":6175,"base":16}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1497,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":3853,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1684,"base":16},"right_expr":{"type":"numeric_atoms","value":1052,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":6616,"base":16},"right_expr":{"type":"numeric_atoms","value":2313,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":6499,"base":16},"right_expr":{"type":"numeric_atoms","value":4153,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1754,"base":16},"right_expr":{"type":"numeric_atoms","value":7237,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":3404,"base":16}}}}},"used_operators":["COABgblf1C","T2fj7uvVaJ","z63VuFQld9","Uaa54Peajs","megm06wKyl","sdazOOVcIp","9HNa5Wba9A","k8jYdgA6NY","rxpJgHHUmx","rysDP5nf3Z","tmPS8pqC7x","bJkvcejdHO","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","AHs5Up7iyr","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6175","layer":4},{"info":"compute unary expreesion, input=6175, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=1497","layer":4},{"info":"compute unary expreesion, input=1497, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"number node, value=3853","layer":4},{"info":"compute unary expreesion, input=3853, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"number node, value=1684","layer":4},{"info":"number node, value=1052","layer":4},{"info":"compute binary expreesion, left_input=1684, right_input=1052, 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=1366","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=1366, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=2779","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=2779, 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=6616","layer":4},{"info":"number node, value=2313","layer":4},{"info":"compute binary expreesion, left_input=6616, right_input=2313, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6499","layer":4},{"info":"number node, value=4153","layer":4},{"info":"compute binary expreesion, left_input=6499, right_input=4153, op_id = rysDP5nf3Z binary_op_definition= 'None', output=2346","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2346, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1754","layer":4},{"info":"number node, value=7237","layer":4},{"info":"compute binary expreesion, left_input=1754, right_input=7237, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=453813","layer":3},{"info":"number node, value=3404","layer":4},{"info":"compute unary expreesion, input=3404, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=453813, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=453813","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=453813, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬181F∧)⋓(∂∃⊬5D9)⋓((⨈⫕∃⊬F0D)⊭↱(∃⊬694⪨≂∃⊬41C))⊭↱((∃⊬19D8≭∃⊬909%∃⊬1963-∃⊬1039)*(∃⊬6DA≎⊠⪸∃⊬1C45)⨪↰⇹(∃⊬D4C⊠≄⫣))=NaN","reverse_text":"NaN=(∃⊬181F∧)⋓(∂∃⊬5D9)⋓((⨈⫕∃⊬F0D)⊭↱(∃⊬694⪨≂∃⊬41C))⊭↱((∃⊬19D8≭∃⊬909%∃⊬1963-∃⊬1039)*(∃⊬6DA≎⊠⪸∃⊬1C45)⨪↰⇹(∃⊬D4C⊠≄⫣))","cot":[{"info":"∃⊬181F∧=NaN","layer":3},{"info":"∂∃⊬5D9=NaN","layer":3},{"info":"NaN⋓NaN=NaN","layer":2},{"info":"⨈⫕∃⊬F0D=∃⊬-15","layer":3},{"info":"∃⊬694⪨≂∃⊬41C=∃⊬556","layer":3},{"info":"∃⊬-15⊭↱∃⊬556=∃⊬ADB","layer":2},{"info":"NaN⋓∃⊬ADB=∃⊬0","layer":1},{"info":"∃⊬19D8≭∃⊬909=NaN","layer":3},{"info":"∃⊬1963-∃⊬1039=∃⊬92A","layer":3},{"info":"NaN%∃⊬92A=NaN","layer":2},{"info":"∃⊬6DA≎⊠⪸∃⊬1C45=∃⊬6ECB5","layer":3},{"info":"∃⊬D4C⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬6ECB5⨪↰⇹∃⊬0=∃⊬6ECB5","layer":2},{"info":"NaN*∃⊬6ECB5=NaN","layer":1},{"info":"∃⊬0⊭↱NaN=NaN","layer":0}]}
{"id":885,"expression_no_base_symbol":"(⩦⩻⨪(∂($1838$+⇶⊼$5703$)))⨎(≉$1893$⨳⩥⨓$4699$)⋝⋈⪟(↩(⨈⫕$1038$))","expression":"(⩦⩻⨪(∂(∃⊬72E+⇶⊼∃⊬1647)))⨎(≉∃⊬765⨳⩥⨓∃⊬125B)⋝⋈⪟(↩(⨈⫕∃⊬40E))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":419,"operation_count":9,"complexity_ratio":46.55555555555556,"tree":{"type":"binary","operator":"⨎","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1838,"base":16},"right_expr":{"type":"numeric_atoms","value":5703,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1893,"base":16},"right_expr":{"type":"numeric_atoms","value":4699,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1038,"base":16}}}}},"used_operators":["rJVOvQCfKK","2td37pGCOC","Uaa54Peajs","TpPTUOHfaN","2DDjHMKMc0","e1ybzncUwg","nCS4ZIUYfx","jLgFTUHLKL","megm06wKyl"],"dependent_operators":["Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q"],"result":"∃⊬D09","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1838","layer":4},{"info":"number node, value=5703","layer":4},{"info":"compute binary expreesion, left_input=1838, right_input=5703, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1893","layer":4},{"info":"number node, value=4699","layer":4},{"info":"compute binary expreesion, left_input=1893, right_input=4699, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=2806","layer":3},{"info":"compute unary expreesion, input=2806, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=3337","layer":2},{"info":"number node, value=1038","layer":4},{"info":"compute unary expreesion, input=1038, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute unary expreesion, input=-21, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":2},{"info":"compute binary expreesion, left_input=3337, right_input=5096, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3337","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3337, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3337","layer":0}],"base":16,"result_base":16,"text":"(⩦⩻⨪(∂(∃⊬72E+⇶⊼∃⊬1647)))⨎(≉∃⊬765⨳⩥⨓∃⊬125B)⋝⋈⪟(↩(⨈⫕∃⊬40E))=∃⊬D09","reverse_text":"∃⊬D09=(⩦⩻⨪(∂(∃⊬72E+⇶⊼∃⊬1647)))⨎(≉∃⊬765⨳⩥⨓∃⊬125B)⋝⋈⪟(↩(⨈⫕∃⊬40E))","cot":[{"info":"∃⊬72E+⇶⊼∃⊬1647=NaN","layer":3},{"info":"∂NaN=NaN","layer":2},{"info":"⩦⩻⨪NaN=NaN","layer":1},{"info":"∃⊬765⨳⩥⨓∃⊬125B=∃⊬AF6","layer":3},{"info":"≉∃⊬AF6=∃⊬D09","layer":2},{"info":"⨈⫕∃⊬40E=∃⊬-15","layer":3},{"info":"↩∃⊬-15=∃⊬13E8","layer":2},{"info":"∃⊬D09⋝⋈⪟∃⊬13E8=∃⊬D09","layer":1},{"info":"NaN⨎∃⊬D09=∃⊬D09","layer":0}]}
{"id":886,"expression_no_base_symbol":"(($8884$⫡⨏$5400$)∀⇚≩$5257$⪢$6383$)⇷($2678$⋥≓≎$2350$%$2181$+⇶⊼$2688$)⋓((-$1049$↬$3423$)⩨($1007$⨰$1410$)⪛($2117$≫≃))","expression":"((∃⊬22B4⫡⨏∃⊬1518)∀⇚≩∃⊬1489⪢∃⊬18EF)⇷(∃⊬A76⋥≓≎∃⊬92E%∃⊬885+⇶⊼∃⊬A80)⋓((-∃⊬419↬∃⊬D5F)⩨(∃⊬3EF⨰∃⊬582)⪛(∃⊬845≫≃))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":398460,"operation_count":14,"complexity_ratio":28461.428571428572,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8884,"base":16},"right_expr":{"type":"numeric_atoms","value":5400,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5257,"base":16},"right_expr":{"type":"numeric_atoms","value":6383,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":2678,"base":16},"right_expr":{"type":"numeric_atoms","value":2350,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2181,"base":16},"right_expr":{"type":"numeric_atoms","value":2688,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1049,"base":16},"right_expr":{"type":"numeric_atoms","value":3423,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1007,"base":16},"right_expr":{"type":"numeric_atoms","value":1410,"base":16}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2117,"base":16}}}}},"used_operators":["T2fj7uvVaJ","mp7IySMOzn","LRNGc0VcxI","QMFrweE19q","dWAJyo7jo9","k8jYdgA6NY","Qy55tPpLXF","TpPTUOHfaN","2DlMacCsIx","t8gj7n24qd","B5M0gjZbta","uFcxV4UQCh","eewbuw0ToL","X99M06cbEe"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8884","layer":4},{"info":"number node, value=5400","layer":4},{"info":"compute binary expreesion, left_input=8884, right_input=5400, 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=56003","layer":3},{"info":"number node, value=5257","layer":4},{"info":"number node, value=6383","layer":4},{"info":"compute binary expreesion, left_input=5257, right_input=6383, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=56003, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2678","layer":4},{"info":"number node, value=2350","layer":4},{"info":"compute binary expreesion, left_input=2678, right_input=2350, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2055","layer":3},{"info":"number node, value=2181","layer":4},{"info":"number node, value=2688","layer":4},{"info":"compute binary expreesion, left_input=2181, right_input=2688, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2055, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":1},{"info":"number node, value=1049","layer":4},{"info":"number node, value=3423","layer":4},{"info":"compute binary expreesion, left_input=1049, right_input=3423, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = t8gj7n24qd, unary_op_definition = 'None', output=nan","layer":2},{"info":"number node, value=1007","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1007, right_input=1410, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-393","layer":3},{"info":"number node, value=2117","layer":4},{"info":"compute unary expreesion, input=2117, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=5635","layer":3},{"info":"compute binary expreesion, left_input=-393, right_input=5635, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=5242","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=5242, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬22B4⫡⨏∃⊬1518)∀⇚≩∃⊬1489⪢∃⊬18EF)⇷(∃⊬A76⋥≓≎∃⊬92E%∃⊬885+⇶⊼∃⊬A80)⋓((-∃⊬419↬∃⊬D5F)⩨(∃⊬3EF⨰∃⊬582)⪛(∃⊬845≫≃))=NaN","reverse_text":"NaN=((∃⊬22B4⫡⨏∃⊬1518)∀⇚≩∃⊬1489⪢∃⊬18EF)⇷(∃⊬A76⋥≓≎∃⊬92E%∃⊬885+⇶⊼∃⊬A80)⋓((-∃⊬419↬∃⊬D5F)⩨(∃⊬3EF⨰∃⊬582)⪛(∃⊬845≫≃))","cot":[{"info":"∃⊬22B4⫡⨏∃⊬1518=∃⊬DAC3","layer":3},{"info":"∃⊬1489⪢∃⊬18EF=NaN","layer":3},{"info":"∃⊬DAC3∀⇚≩NaN=NaN","layer":2},{"info":"∃⊬A76⋥≓≎∃⊬92E=∃⊬807","layer":3},{"info":"∃⊬885+⇶⊼∃⊬A80=NaN","layer":3},{"info":"∃⊬807%NaN=NaN","layer":2},{"info":"NaN⇷NaN=NaN","layer":1},{"info":"∃⊬419↬∃⊬D5F=NaN","layer":3},{"info":"-NaN=NaN","layer":2},{"info":"∃⊬3EF⨰∃⊬582=∃⊬-189","layer":3},{"info":"∃⊬845≫≃=∃⊬1603","layer":3},{"info":"∃⊬-189⪛∃⊬1603=∃⊬147A","layer":2},{"info":"NaN⩨∃⊬147A=NaN","layer":1},{"info":"NaN⋓NaN=NaN","layer":0}]}
{"id":887,"expression_no_base_symbol":"(($2479$⪄$3438$)⪘⫢($6085$⨽$2092$)⪒($2076$⫥∨⫟$3280$)⨪↰⇹($1657$⩨$3028$))⩨(↥(⊙↵-($2195$∲⫓$1148$)))","expression":"((∃⊬9AF⪄∃⊬D6E)⪘⫢(∃⊬17C5⨽∃⊬82C)⪒(∃⊬81C⫥∨⫟∃⊬CD0)⨪↰⇹(∃⊬679⩨∃⊬BD4))⩨(↥(⊙↵-(∃⊬893∲⫓∃⊬47C)))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6394,"operation_count":11,"complexity_ratio":581.2727272727273,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2479,"base":16},"right_expr":{"type":"numeric_atoms","value":3438,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":6085,"base":16},"right_expr":{"type":"numeric_atoms","value":2092,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":2076,"base":16},"right_expr":{"type":"numeric_atoms","value":3280,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1657,"base":16},"right_expr":{"type":"numeric_atoms","value":3028,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2195,"base":16},"right_expr":{"type":"numeric_atoms","value":1148,"base":16}}}}},"used_operators":["2DlMacCsIx","f6k1SAg4EE","oacrs7FA3X","SUmda5xLS4","8HhzD0ZcuI","tmPS8pqC7x","KYD54nUTWz","A8NUZmVepG","oWn0xqSxBt","i8ToyICDmI"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","8HhzD0ZcuI","rGHVDoGpnC","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2479","layer":4},{"info":"number node, value=3438","layer":4},{"info":"compute binary expreesion, left_input=2479, right_input=3438, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-376733","layer":3},{"info":"number node, value=6085","layer":4},{"info":"number node, value=2092","layer":4},{"info":"compute binary expreesion, left_input=6085, right_input=2092, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-111086637","layer":3},{"info":"compute binary expreesion, left_input=-376733, right_input=-111086637, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=2076","layer":4},{"info":"number node, value=3280","layer":4},{"info":"compute binary expreesion, left_input=2076, right_input=3280, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=1657","layer":4},{"info":"number node, value=3028","layer":4},{"info":"compute binary expreesion, left_input=1657, right_input=3028, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-3, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=2195","layer":4},{"info":"number node, value=1148","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=1148, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"((∃⊬9AF⪄∃⊬D6E)⪘⫢(∃⊬17C5⨽∃⊬82C)⪒(∃⊬81C⫥∨⫟∃⊬CD0)⨪↰⇹(∃⊬679⩨∃⊬BD4))⩨(↥(⊙↵-(∃⊬893∲⫓∃⊬47C)))=NaN","reverse_text":"NaN=((∃⊬9AF⪄∃⊬D6E)⪘⫢(∃⊬17C5⨽∃⊬82C)⪒(∃⊬81C⫥∨⫟∃⊬CD0)⨪↰⇹(∃⊬679⩨∃⊬BD4))⩨(↥(⊙↵-(∃⊬893∲⫓∃⊬47C)))","cot":[{"info":"∃⊬9AF⪄∃⊬D6E=∃⊬-5BF9D","layer":3},{"info":"∃⊬17C5⨽∃⊬82C=∃⊬-69F0C2D","layer":3},{"info":"∃⊬-5BF9D⪘⫢∃⊬-69F0C2D=∃⊬-1","layer":2},{"info":"∃⊬81C⫥∨⫟∃⊬CD0=NaN","layer":3},{"info":"∃⊬679⩨∃⊬BD4=∃⊬-3","layer":3},{"info":"NaN⨪↰⇹∃⊬-3=NaN","layer":2},{"info":"∃⊬-1⪒NaN=NaN","layer":1},{"info":"∃⊬893∲⫓∃⊬47C=∃⊬0","layer":3},{"info":"⊙↵-∃⊬0=∃⊬0","layer":2},{"info":"↥∃⊬0=∃⊬0","layer":1},{"info":"NaN⩨∃⊬0=NaN","layer":0}]}
{"id":888,"expression_no_base_symbol":"($2417$*$2674$)⨪↰⇹(↩$1417$)≎⊠⪸($1479$⋝⋈⪟$3212$≎⊠⪸$1078$⨓$5900$)⨳⩥⨓(($5801$≭$1198$⩤)/(($2120$⨳⩥⨓$3485$)⫌⩹⨱))","expression":"(∃⊬971*∃⊬A72)⨪↰⇹(↩∃⊬589)≎⊠⪸(∃⊬5C7⋝⋈⪟∃⊬C8C≎⊠⪸∃⊬436⨓∃⊬170C)⨳⩥⨓((∃⊬16A9≭∃⊬4AE⩤)/((∃⊬848⨳⩥⨓∃⊬D9D)⫌⩹⨱))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":8382,"operation_count":13,"complexity_ratio":644.7692307692307,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2417,"base":16},"right_expr":{"type":"numeric_atoms","value":2674,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":1417,"base":16}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1479,"base":16},"right_expr":{"type":"numeric_atoms","value":3212,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1078,"base":16},"right_expr":{"type":"numeric_atoms","value":5900,"base":16}}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5801,"base":16},"right_expr":{"type":"numeric_atoms","value":1198,"base":16}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2120,"base":16},"right_expr":{"type":"numeric_atoms","value":3485,"base":16}}}}},"used_operators":["nCS4ZIUYfx","bJkvcejdHO","tmPS8pqC7x","9HNa5Wba9A","jLgFTUHLKL","2DDjHMKMc0","3ViojmjbAp","XhwjNDsVaA","Z2TMIBDE3Q","rxpJgHHUmx","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rJVOvQCfKK","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2417","layer":4},{"info":"number node, value=2674","layer":4},{"info":"compute binary expreesion, left_input=2417, right_input=2674, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=6463058","layer":3},{"info":"number node, value=1417","layer":4},{"info":"compute unary expreesion, input=1417, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-8556","layer":3},{"info":"compute binary expreesion, left_input=6463058, right_input=-8556, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1479","layer":4},{"info":"number node, value=3212","layer":4},{"info":"compute binary expreesion, left_input=1479, right_input=3212, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1479","layer":3},{"info":"number node, value=1078","layer":4},{"info":"number node, value=5900","layer":4},{"info":"compute binary expreesion, left_input=1078, right_input=5900, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-5903","layer":3},{"info":"compute binary expreesion, left_input=1479, right_input=-5903, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"number node, value=5801","layer":4},{"info":"number node, value=1198","layer":4},{"info":"compute binary expreesion, left_input=5801, right_input=1198, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=nan","layer":2},{"info":"number node, value=2120","layer":4},{"info":"number node, value=3485","layer":4},{"info":"compute binary expreesion, left_input=2120, right_input=3485, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1365","layer":3},{"info":"compute unary expreesion, input=1365, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=4131","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=4131, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬971*∃⊬A72)⨪↰⇹(↩∃⊬589)≎⊠⪸(∃⊬5C7⋝⋈⪟∃⊬C8C≎⊠⪸∃⊬436⨓∃⊬170C)⨳⩥⨓((∃⊬16A9≭∃⊬4AE⩤)/((∃⊬848⨳⩥⨓∃⊬D9D)⫌⩹⨱))=NaN","reverse_text":"NaN=(∃⊬971*∃⊬A72)⨪↰⇹(↩∃⊬589)≎⊠⪸(∃⊬5C7⋝⋈⪟∃⊬C8C≎⊠⪸∃⊬436⨓∃⊬170C)⨳⩥⨓((∃⊬16A9≭∃⊬4AE⩤)/((∃⊬848⨳⩥⨓∃⊬D9D)⫌⩹⨱))","cot":[{"info":"∃⊬971*∃⊬A72=∃⊬629E52","layer":3},{"info":"↩∃⊬589=∃⊬-216C","layer":3},{"info":"∃⊬629E52⨪↰⇹∃⊬-216C=NaN","layer":2},{"info":"∃⊬5C7⋝⋈⪟∃⊬C8C=∃⊬5C7","layer":3},{"info":"∃⊬436⨓∃⊬170C=∃⊬-170F","layer":3},{"info":"∃⊬5C7≎⊠⪸∃⊬-170F=∃⊬43","layer":2},{"info":"NaN≎⊠⪸∃⊬43=NaN","layer":1},{"info":"∃⊬16A9≭∃⊬4AE=NaN","layer":3},{"info":"NaN⩤=NaN","layer":2},{"info":"∃⊬848⨳⩥⨓∃⊬D9D=∃⊬555","layer":3},{"info":"∃⊬555⫌⩹⨱=∃⊬1023","layer":2},{"info":"NaN/∃⊬1023=NaN","layer":1},{"info":"NaN⨳⩥⨓NaN=NaN","layer":0}]}
{"id":889,"expression_no_base_symbol":"(∂$4563$)⇼⇔∾($5323$⫡⨏$4971$)∲⫓($1395$⨰$2278$)∀⇚≩($1920$⋷$2326$)⨵⪆((($2406$/$1765$)+⇶⊼($4666$⩚⊴⇥$5039$))∸)","expression":"(∂∃⊬11D3)⇼⇔∾(∃⊬14CB⫡⨏∃⊬136B)∲⫓(∃⊬573⨰∃⊬8E6)∀⇚≩(∃⊬780⋷∃⊬916)⨵⪆(((∃⊬966/∃⊬6E5)+⇶⊼(∃⊬123A⩚⊴⇥∃⊬13AF))∸)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":6315,"operation_count":12,"complexity_ratio":526.25,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":4563,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5323,"base":16},"right_expr":{"type":"numeric_atoms","value":4971,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1395,"base":16},"right_expr":{"type":"numeric_atoms","value":2278,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1920,"base":16},"right_expr":{"type":"numeric_atoms","value":2326,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2406,"base":16},"right_expr":{"type":"numeric_atoms","value":1765,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4666,"base":16},"right_expr":{"type":"numeric_atoms","value":5039,"base":16}}}}},"used_operators":["2DQ55sFlQl","i8ToyICDmI","tifHPKVTfV","Uaa54Peajs","QMFrweE19q","LRNGc0VcxI","eewbuw0ToL","23Mk6UjR3U","o20kRiQErp","TpPTUOHfaN","XhwjNDsVaA","NTOWxs364D"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4563","layer":4},{"info":"compute unary expreesion, input=4563, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=5323","layer":4},{"info":"number node, value=4971","layer":4},{"info":"compute binary expreesion, left_input=5323, right_input=4971, 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=37340","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=37340, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"number node, value=1395","layer":4},{"info":"number node, value=2278","layer":4},{"info":"compute binary expreesion, left_input=1395, right_input=2278, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-873","layer":3},{"info":"number node, value=1920","layer":4},{"info":"number node, value=2326","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=2326, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2732","layer":3},{"info":"compute binary expreesion, left_input=-873, right_input=2732, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"number node, value=2406","layer":4},{"info":"number node, value=1765","layer":4},{"info":"compute binary expreesion, left_input=2406, right_input=1765, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=4666","layer":4},{"info":"number node, value=5039","layer":4},{"info":"compute binary expreesion, left_input=4666, right_input=5039, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9826","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=-9826, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=177, 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":"(∂∃⊬11D3)⇼⇔∾(∃⊬14CB⫡⨏∃⊬136B)∲⫓(∃⊬573⨰∃⊬8E6)∀⇚≩(∃⊬780⋷∃⊬916)⨵⪆(((∃⊬966/∃⊬6E5)+⇶⊼(∃⊬123A⩚⊴⇥∃⊬13AF))∸)=∃⊬A0","reverse_text":"∃⊬A0=(∂∃⊬11D3)⇼⇔∾(∃⊬14CB⫡⨏∃⊬136B)∲⫓(∃⊬573⨰∃⊬8E6)∀⇚≩(∃⊬780⋷∃⊬916)⨵⪆(((∃⊬966/∃⊬6E5)+⇶⊼(∃⊬123A⩚⊴⇥∃⊬13AF))∸)","cot":[{"info":"∂∃⊬11D3=NaN","layer":3},{"info":"∃⊬14CB⫡⨏∃⊬136B=∃⊬91DC","layer":3},{"info":"NaN⇼⇔∾∃⊬91DC=NaN","layer":2},{"info":"∃⊬573⨰∃⊬8E6=∃⊬-369","layer":3},{"info":"∃⊬780⋷∃⊬916=∃⊬AAC","layer":3},{"info":"∃⊬-369∀⇚≩∃⊬AAC=NaN","layer":2},{"info":"NaN∲⫓NaN=NaN","layer":1},{"info":"∃⊬966/∃⊬6E5=∃⊬1","layer":3},{"info":"∃⊬123A⩚⊴⇥∃⊬13AF=∃⊬-2662","layer":3},{"info":"∃⊬1+⇶⊼∃⊬-2662=NaN","layer":2},{"info":"NaN∸=∃⊬B1","layer":1},{"info":"NaN⨵⪆∃⊬B1=∃⊬A0","layer":0}]}
{"id":890,"expression_no_base_symbol":"⊙↵-(($2082$⇷$2907$⋫)⊉≛↸($5624$⪢$3720$/$2857$⋝⋈⪟$1168$))","expression":"⊙↵-((∃⊬822⇷∃⊬B5B⋫)⊉≛↸(∃⊬15F8⪢∃⊬E88/∃⊬B29⋝⋈⪟∃⊬490))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":51437,"operation_count":7,"complexity_ratio":7348.142857142857,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":2082,"base":16},"right_expr":{"type":"numeric_atoms","value":2907,"base":16}}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5624,"base":16},"right_expr":{"type":"numeric_atoms","value":3720,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2857,"base":16},"right_expr":{"type":"numeric_atoms","value":1168,"base":16}}}}},"used_operators":["oWn0xqSxBt","DZ8iAZOCBD","JL8yIekQnl","mp7IySMOzn","XhwjNDsVaA","dWAJyo7jo9","2DDjHMKMc0"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2082","layer":4},{"info":"number node, value=2907","layer":4},{"info":"compute binary expreesion, left_input=2082, right_input=2907, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5814","layer":3},{"info":"compute unary expreesion, input=5814, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5814","layer":2},{"info":"number node, value=5624","layer":4},{"info":"number node, value=3720","layer":4},{"info":"compute binary expreesion, left_input=5624, right_input=3720, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1168, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2857","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2857, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=5814, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=11628","layer":1},{"info":"compute unary expreesion, input=11628, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬822⇷∃⊬B5B⋫)⊉≛↸(∃⊬15F8⪢∃⊬E88/∃⊬B29⋝⋈⪟∃⊬490))=∃⊬-1","reverse_text":"∃⊬-1=⊙↵-((∃⊬822⇷∃⊬B5B⋫)⊉≛↸(∃⊬15F8⪢∃⊬E88/∃⊬B29⋝⋈⪟∃⊬490))","cot":[{"info":"∃⊬822⇷∃⊬B5B=∃⊬16B6","layer":3},{"info":"∃⊬16B6⋫=∃⊬16B6","layer":2},{"info":"∃⊬15F8⪢∃⊬E88=NaN","layer":3},{"info":"∃⊬B29⋝⋈⪟∃⊬490=∃⊬B29","layer":3},{"info":"NaN/∃⊬B29=NaN","layer":2},{"info":"∃⊬16B6⊉≛↸NaN=∃⊬2D6C","layer":1},{"info":"⊙↵-∃⊬2D6C=∃⊬-1","layer":0}]}
{"id":891,"expression_no_base_symbol":"(($1150$∼$7396$⊉≛↸$7088$⩚⊴⇥$2017$)⫥∨⫟($2980$⪛$7166$)⪮%⊝($1167$∑⇟⊟$1084$))≹⇙⪍(⫓⪴(($1086$⫡⨏$1096$)⨐⩸⫘$1421$+⇶⊼$2305$))","expression":"((∃⊬47E∼∃⊬1CE4⊉≛↸∃⊬1BB0⩚⊴⇥∃⊬7E1)⫥∨⫟(∃⊬BA4⪛∃⊬1BFE)⪮%⊝(∃⊬48F∑⇟⊟∃⊬43C))≹⇙⪍(⫓⪴((∃⊬43E⫡⨏∃⊬448)⨐⩸⫘∃⊬58D+⇶⊼∃⊬901))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":208,"operation_count":12,"complexity_ratio":17.333333333333332,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1150,"base":16},"right_expr":{"type":"numeric_atoms","value":7396,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":7088,"base":16},"right_expr":{"type":"numeric_atoms","value":2017,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2980,"base":16},"right_expr":{"type":"numeric_atoms","value":7166,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":1167,"base":16},"right_expr":{"type":"numeric_atoms","value":1084,"base":16}}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1086,"base":16},"right_expr":{"type":"numeric_atoms","value":1096,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1421,"base":16},"right_expr":{"type":"numeric_atoms","value":2305,"base":16}}}}},"used_operators":["AHs5Up7iyr","KYD54nUTWz","DZ8iAZOCBD","DyGG3AbaNP","NTOWxs364D","IWmyXbctLI","uFcxV4UQCh","U7g4x0WXJJ","eLxqMNBOBk","fu6greOZ01","QMFrweE19q","TpPTUOHfaN"],"dependent_operators":["dWAJyo7jo9","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1150","layer":4},{"info":"number node, value=7396","layer":4},{"info":"compute binary expreesion, left_input=1150, right_input=7396, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=7088","layer":4},{"info":"number node, value=2017","layer":4},{"info":"compute binary expreesion, left_input=7088, right_input=2017, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9226","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9226, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=2980","layer":4},{"info":"number node, value=7166","layer":4},{"info":"compute binary expreesion, left_input=2980, right_input=7166, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2980","layer":3},{"info":"number node, value=1167","layer":4},{"info":"number node, value=1084","layer":4},{"info":"compute binary expreesion, left_input=1167, right_input=1084, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2980, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1086","layer":4},{"info":"number node, value=1096","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=1096, 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=8405","layer":3},{"info":"number node, value=1421","layer":4},{"info":"number node, value=2305","layer":4},{"info":"compute binary expreesion, left_input=1421, right_input=2305, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8405, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', 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":"((∃⊬47E∼∃⊬1CE4⊉≛↸∃⊬1BB0⩚⊴⇥∃⊬7E1)⫥∨⫟(∃⊬BA4⪛∃⊬1BFE)⪮%⊝(∃⊬48F∑⇟⊟∃⊬43C))≹⇙⪍(⫓⪴((∃⊬43E⫡⨏∃⊬448)⨐⩸⫘∃⊬58D+⇶⊼∃⊬901))=NaN","reverse_text":"NaN=((∃⊬47E∼∃⊬1CE4⊉≛↸∃⊬1BB0⩚⊴⇥∃⊬7E1)⫥∨⫟(∃⊬BA4⪛∃⊬1BFE)⪮%⊝(∃⊬48F∑⇟⊟∃⊬43C))≹⇙⪍(⫓⪴((∃⊬43E⫡⨏∃⊬448)⨐⩸⫘∃⊬58D+⇶⊼∃⊬901))","cot":[{"info":"∃⊬47E∼∃⊬1CE4=NaN","layer":3},{"info":"∃⊬1BB0⩚⊴⇥∃⊬7E1=∃⊬-240A","layer":3},{"info":"NaN⊉≛↸∃⊬-240A=NaN","layer":2},{"info":"∃⊬BA4⪛∃⊬1BFE=∃⊬BA4","layer":3},{"info":"∃⊬48F∑⇟⊟∃⊬43C=NaN","layer":3},{"info":"∃⊬BA4⪮%⊝NaN=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"∃⊬43E⫡⨏∃⊬448=∃⊬20D5","layer":3},{"info":"∃⊬58D+⇶⊼∃⊬901=NaN","layer":3},{"info":"∃⊬20D5⨐⩸⫘NaN=NaN","layer":2},{"info":"⫓⪴NaN=NaN","layer":1},{"info":"NaN≹⇙⪍NaN=NaN","layer":0}]}
{"id":892,"expression_no_base_symbol":"($3572$+$2223$)⩚⊴⇥($1371$/$1266$)%($3756$≋⫹)%($2471$+$1145$)⨵⪆((($5201$⋷$5408$)⋳⪒($1600$⊦⊿))∸)","expression":"(∃⊬DF4+∃⊬8AF)⩚⊴⇥(∃⊬55B/∃⊬4F2)%(∃⊬EAC≋⫹)%(∃⊬9A7+∃⊬479)⨵⪆(((∃⊬1451⋷∃⊬1520)⋳⪒(∃⊬640⊦⊿))∸)","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":206,"operation_count":12,"complexity_ratio":17.166666666666668,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3572,"base":16},"right_expr":{"type":"numeric_atoms","value":2223,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1371,"base":16},"right_expr":{"type":"numeric_atoms","value":1266,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3756,"base":16}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2471,"base":16},"right_expr":{"type":"numeric_atoms","value":1145,"base":16}}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5201,"base":16},"right_expr":{"type":"numeric_atoms","value":5408,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1600,"base":16}}}}},"used_operators":["2DQ55sFlQl","k8jYdgA6NY","NTOWxs364D","W4YGzv6Whe","XhwjNDsVaA","N41Kp7NANJ","o20kRiQErp","12rbrZMWeM","23Mk6UjR3U","14qkJME0vr"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3572","layer":4},{"info":"number node, value=2223","layer":4},{"info":"compute binary expreesion, left_input=3572, right_input=2223, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5795","layer":3},{"info":"number node, value=1371","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=1371, right_input=1266, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute binary expreesion, left_input=5795, right_input=1, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5917","layer":2},{"info":"number node, value=3756","layer":4},{"info":"compute unary expreesion, input=3756, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7512","layer":3},{"info":"number node, value=2471","layer":4},{"info":"number node, value=1145","layer":4},{"info":"compute binary expreesion, left_input=2471, right_input=1145, op_id = W4YGzv6Whe binary_op_definition= 'None', output=3616","layer":3},{"info":"compute binary expreesion, left_input=-7512, right_input=3616, op_id = k8jYdgA6NY binary_op_definition= 'None', output=3336","layer":2},{"info":"compute binary expreesion, left_input=-5917, right_input=3336, op_id = k8jYdgA6NY binary_op_definition= 'None', output=755","layer":1},{"info":"number node, value=5201","layer":4},{"info":"number node, value=5408","layer":4},{"info":"compute binary expreesion, left_input=5201, right_input=5408, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=5615","layer":3},{"info":"number node, value=1600","layer":4},{"info":"compute unary expreesion, input=1600, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4879","layer":3},{"info":"compute binary expreesion, left_input=5615, right_input=-4879, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=15822","layer":2},{"info":"compute unary expreesion, input=15822, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":1},{"info":"compute binary expreesion, left_input=755, right_input=177, 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":"(∃⊬DF4+∃⊬8AF)⩚⊴⇥(∃⊬55B/∃⊬4F2)%(∃⊬EAC≋⫹)%(∃⊬9A7+∃⊬479)⨵⪆(((∃⊬1451⋷∃⊬1520)⋳⪒(∃⊬640⊦⊿))∸)=∃⊬A0","reverse_text":"∃⊬A0=(∃⊬DF4+∃⊬8AF)⩚⊴⇥(∃⊬55B/∃⊬4F2)%(∃⊬EAC≋⫹)%(∃⊬9A7+∃⊬479)⨵⪆(((∃⊬1451⋷∃⊬1520)⋳⪒(∃⊬640⊦⊿))∸)","cot":[{"info":"∃⊬DF4+∃⊬8AF=∃⊬16A3","layer":3},{"info":"∃⊬55B/∃⊬4F2=∃⊬1","layer":3},{"info":"∃⊬16A3⩚⊴⇥∃⊬1=∃⊬-171D","layer":2},{"info":"∃⊬EAC≋⫹=∃⊬-1D58","layer":3},{"info":"∃⊬9A7+∃⊬479=∃⊬E20","layer":3},{"info":"∃⊬-1D58%∃⊬E20=∃⊬D08","layer":2},{"info":"∃⊬-171D%∃⊬D08=∃⊬2F3","layer":1},{"info":"∃⊬1451⋷∃⊬1520=∃⊬15EF","layer":3},{"info":"∃⊬640⊦⊿=∃⊬-130F","layer":3},{"info":"∃⊬15EF⋳⪒∃⊬-130F=∃⊬3DCE","layer":2},{"info":"∃⊬3DCE∸=∃⊬B1","layer":1},{"info":"∃⊬2F3⨵⪆∃⊬B1=∃⊬A0","layer":0}]}
{"id":893,"expression_no_base_symbol":"((($1099$≫≃)⫸⊐$2623$⪄$1266$)⋓($3642$∑⇟⊟$1091$⋫))∼(-((+⊝⨔$1414$)⩤))","expression":"(((∃⊬44B≫≃)⫸⊐∃⊬A3F⪄∃⊬4F2)⋓(∃⊬E3A∑⇟⊟∃⊬443⋫))∼(-((+⊝⨔∃⊬586)⩤))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":184,"operation_count":10,"complexity_ratio":18.4,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1099,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2623,"base":16},"right_expr":{"type":"numeric_atoms","value":1266,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":3642,"base":16},"right_expr":{"type":"numeric_atoms","value":1091,"base":16}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1414,"base":16}}}}},"used_operators":["DyGG3AbaNP","T2fj7uvVaJ","mqXw5SEYmG","X99M06cbEe","SUmda5xLS4","JL8yIekQnl","U7g4x0WXJJ","t8gj7n24qd","Z2TMIBDE3Q","DhbWaqg5eL"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1099","layer":4},{"info":"compute unary expreesion, input=1099, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3599","layer":3},{"info":"number node, value=2623","layer":4},{"info":"number node, value=1266","layer":4},{"info":"compute binary expreesion, left_input=2623, right_input=1266, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-389357","layer":3},{"info":"compute binary expreesion, left_input=3599, right_input=-389357, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-778843","layer":2},{"info":"number node, value=3642","layer":4},{"info":"number node, value=1091","layer":4},{"info":"compute binary expreesion, left_input=3642, right_input=1091, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-778843, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"number node, value=1414","layer":4},{"info":"compute unary expreesion, input=1414, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-1522","layer":2},{"info":"compute unary expreesion, input=-1522, op_id = t8gj7n24qd, unary_op_definition = 'None', output=1522","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, 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":"(((∃⊬44B≫≃)⫸⊐∃⊬A3F⪄∃⊬4F2)⋓(∃⊬E3A∑⇟⊟∃⊬443⋫))∼(-((+⊝⨔∃⊬586)⩤))=NaN","reverse_text":"NaN=(((∃⊬44B≫≃)⫸⊐∃⊬A3F⪄∃⊬4F2)⋓(∃⊬E3A∑⇟⊟∃⊬443⋫))∼(-((+⊝⨔∃⊬586)⩤))","cot":[{"info":"∃⊬44B≫≃=∃⊬E0F","layer":3},{"info":"∃⊬A3F⪄∃⊬4F2=∃⊬-5F0ED","layer":3},{"info":"∃⊬E0F⫸⊐∃⊬-5F0ED=∃⊬-BE25B","layer":2},{"info":"∃⊬E3A∑⇟⊟∃⊬443=NaN","layer":3},{"info":"NaN⋫=NaN","layer":2},{"info":"∃⊬-BE25B⋓NaN=NaN","layer":1},{"info":"+⊝⨔∃⊬586=∃⊬5F2","layer":3},{"info":"∃⊬5F2⩤=∃⊬-5F2","layer":2},{"info":"-∃⊬-5F2=∃⊬5F2","layer":1},{"info":"NaN∼∃⊬5F2=NaN","layer":0}]}
{"id":894,"expression_no_base_symbol":"($2939$⋝⋈⪟$2603$⨳⩥⨓$1417$⨪↰⇹$1077$⩨($3994$+$1697$)⋝⋈⪟(≦∁$3813$))⪢((⨞⊢($1482$⊭↱$1280$))⨁⊸⫻)","expression":"(∃⊬B7B⋝⋈⪟∃⊬A2B⨳⩥⨓∃⊬589⨪↰⇹∃⊬435⩨(∃⊬F9A+∃⊬6A1)⋝⋈⪟(≦∁∃⊬EE5))⪢((⨞⊢(∃⊬5CA⊭↱∃⊬500))⨁⊸⫻)","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1668,"operation_count":11,"complexity_ratio":151.63636363636363,"tree":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2939,"base":16},"right_expr":{"type":"numeric_atoms","value":2603,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1417,"base":16},"right_expr":{"type":"numeric_atoms","value":1077,"base":16}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":3994,"base":16},"right_expr":{"type":"numeric_atoms","value":1697,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":3813,"base":16}}}},"right_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1482,"base":16},"right_expr":{"type":"numeric_atoms","value":1280,"base":16}}}}},"used_operators":["dWAJyo7jo9","2DlMacCsIx","nCS4ZIUYfx","2DDjHMKMc0","tmPS8pqC7x","W4YGzv6Whe","9ICcGScMcE","glklzrTFfD","xUOZtlo3hN","COABgblf1C"],"dependent_operators":["k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2939","layer":4},{"info":"number node, value=2603","layer":4},{"info":"compute binary expreesion, left_input=2939, right_input=2603, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2939","layer":3},{"info":"number node, value=1417","layer":4},{"info":"number node, value=1077","layer":4},{"info":"compute binary expreesion, left_input=1417, right_input=1077, 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=1417","layer":3},{"info":"compute binary expreesion, left_input=2939, right_input=1417, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-1522","layer":2},{"info":"number node, value=3994","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=3994, right_input=1697, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5691","layer":3},{"info":"number node, value=3813","layer":4},{"info":"compute unary expreesion, input=3813, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=3813","layer":3},{"info":"compute binary expreesion, left_input=5691, right_input=3813, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5691","layer":2},{"info":"compute binary expreesion, left_input=-1522, right_input=5691, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=12","layer":1},{"info":"number node, value=1482","layer":4},{"info":"number node, value=1280","layer":4},{"info":"compute binary expreesion, left_input=1482, right_input=1280, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-399","layer":3},{"info":"compute unary expreesion, input=-399, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=225","layer":2},{"info":"compute unary expreesion, input=225, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=225","layer":1},{"info":"compute binary expreesion, left_input=12, right_input=225, 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":"(∃⊬B7B⋝⋈⪟∃⊬A2B⨳⩥⨓∃⊬589⨪↰⇹∃⊬435⩨(∃⊬F9A+∃⊬6A1)⋝⋈⪟(≦∁∃⊬EE5))⪢((⨞⊢(∃⊬5CA⊭↱∃⊬500))⨁⊸⫻)=NaN","reverse_text":"NaN=(∃⊬B7B⋝⋈⪟∃⊬A2B⨳⩥⨓∃⊬589⨪↰⇹∃⊬435⩨(∃⊬F9A+∃⊬6A1)⋝⋈⪟(≦∁∃⊬EE5))⪢((⨞⊢(∃⊬5CA⊭↱∃⊬500))⨁⊸⫻)","cot":[{"info":"∃⊬B7B⋝⋈⪟∃⊬A2B=∃⊬B7B","layer":3},{"info":"∃⊬589⨪↰⇹∃⊬435=∃⊬589","layer":3},{"info":"∃⊬B7B⨳⩥⨓∃⊬589=∃⊬-5F2","layer":2},{"info":"∃⊬F9A+∃⊬6A1=∃⊬163B","layer":3},{"info":"≦∁∃⊬EE5=∃⊬EE5","layer":3},{"info":"∃⊬163B⋝⋈⪟∃⊬EE5=∃⊬163B","layer":2},{"info":"∃⊬-5F2⩨∃⊬163B=∃⊬C","layer":1},{"info":"∃⊬5CA⊭↱∃⊬500=∃⊬-18F","layer":3},{"info":"⨞⊢∃⊬-18F=∃⊬E1","layer":2},{"info":"∃⊬E1⨁⊸⫻=∃⊬E1","layer":1},{"info":"∃⊬C⪢∃⊬E1=NaN","layer":0}]}
{"id":895,"expression_no_base_symbol":"((≤/$4730$)⊉≛↸$4724$⨐⩸⫘$1244$-(⇁⨣⪵$1269$)≭$1698$⨪↰⇹$7271$)⩚⊴⇥(($4776$⨰$2342$)∀⇚≩$5708$⇷$1312$⪨≂$4302$⨽$5806$⨸⪁$2009$⨳⩥⨓$1697$)","expression":"((≤/∃⊬127A)⊉≛↸∃⊬1274⨐⩸⫘∃⊬4DC-(⇁⨣⪵∃⊬4F5)≭∃⊬6A2⨪↰⇹∃⊬1C67)⩚⊴⇥((∃⊬12A8⨰∃⊬926)∀⇚≩∃⊬164C⇷∃⊬520⪨≂∃⊬10CE⨽∃⊬16AE⨸⪁∃⊬7D9⨳⩥⨓∃⊬6A1)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":103064,"operation_count":15,"complexity_ratio":6870.933333333333,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":4730,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":4724,"base":16},"right_expr":{"type":"numeric_atoms","value":1244,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1269,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1698,"base":16},"right_expr":{"type":"numeric_atoms","value":7271,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4776,"base":16},"right_expr":{"type":"numeric_atoms","value":2342,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":5708,"base":16},"right_expr":{"type":"numeric_atoms","value":1312,"base":16}}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":4302,"base":16},"right_expr":{"type":"numeric_atoms","value":5806,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":2009,"base":16},"right_expr":{"type":"numeric_atoms","value":1697,"base":16}}}}},"used_operators":["NTOWxs364D","rysDP5nf3Z","DZ8iAZOCBD","eLAdDNolq6","fu6greOZ01","rxpJgHHUmx","inkyxCbjAn","tmPS8pqC7x","sdazOOVcIp","LRNGc0VcxI","eewbuw0ToL","mp7IySMOzn","g55IO6H4Gj","8HhzD0ZcuI","nCS4ZIUYfx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","3ViojmjbAp","AHs5Up7iyr","B5M0gjZbta","rJVOvQCfKK","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4730","layer":4},{"info":"compute unary expreesion, input=4730, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-4246","layer":3},{"info":"number node, value=4724","layer":4},{"info":"number node, value=1244","layer":4},{"info":"compute binary expreesion, left_input=4724, right_input=1244, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-4246, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=nan","layer":2},{"info":"number node, value=1269","layer":4},{"info":"compute unary expreesion, input=1269, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1698","layer":4},{"info":"number node, value=7271","layer":4},{"info":"compute binary expreesion, left_input=1698, right_input=7271, 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=1698","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1698, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=4776","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=4776, right_input=2342, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2444","layer":3},{"info":"number node, value=5708","layer":4},{"info":"number node, value=1312","layer":4},{"info":"compute binary expreesion, left_input=5708, right_input=1312, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2624","layer":3},{"info":"compute binary expreesion, left_input=2444, right_input=2624, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=4302","layer":4},{"info":"number node, value=5806","layer":4},{"info":"compute binary expreesion, left_input=4302, right_input=5806, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-55537716","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=1697","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=1697, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-312","layer":3},{"info":"compute binary expreesion, left_input=-55537716, right_input=-312, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=-111076056","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-111076056, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"((≤/∃⊬127A)⊉≛↸∃⊬1274⨐⩸⫘∃⊬4DC-(⇁⨣⪵∃⊬4F5)≭∃⊬6A2⨪↰⇹∃⊬1C67)⩚⊴⇥((∃⊬12A8⨰∃⊬926)∀⇚≩∃⊬164C⇷∃⊬520⪨≂∃⊬10CE⨽∃⊬16AE⨸⪁∃⊬7D9⨳⩥⨓∃⊬6A1)=NaN","reverse_text":"NaN=((≤/∃⊬127A)⊉≛↸∃⊬1274⨐⩸⫘∃⊬4DC-(⇁⨣⪵∃⊬4F5)≭∃⊬6A2⨪↰⇹∃⊬1C67)⩚⊴⇥((∃⊬12A8⨰∃⊬926)∀⇚≩∃⊬164C⇷∃⊬520⪨≂∃⊬10CE⨽∃⊬16AE⨸⪁∃⊬7D9⨳⩥⨓∃⊬6A1)","cot":[{"info":"≤/∃⊬127A=∃⊬-1096","layer":3},{"info":"∃⊬1274⨐⩸⫘∃⊬4DC=NaN","layer":3},{"info":"∃⊬-1096⊉≛↸NaN=NaN","layer":2},{"info":"⇁⨣⪵∃⊬4F5=NaN","layer":3},{"info":"∃⊬6A2⨪↰⇹∃⊬1C67=∃⊬6A2","layer":3},{"info":"NaN≭∃⊬6A2=NaN","layer":2},{"info":"NaN-NaN=NaN","layer":1},{"info":"∃⊬12A8⨰∃⊬926=∃⊬98C","layer":3},{"info":"∃⊬164C⇷∃⊬520=∃⊬A40","layer":3},{"info":"∃⊬98C∀⇚≩∃⊬A40=NaN","layer":2},{"info":"∃⊬10CE⨽∃⊬16AE=∃⊬-34F7034","layer":3},{"info":"∃⊬7D9⨳⩥⨓∃⊬6A1=∃⊬-138","layer":3},{"info":"∃⊬-34F7034⨸⪁∃⊬-138=∃⊬-69EE2D8","layer":2},{"info":"NaN⪨≂∃⊬-69EE2D8=NaN","layer":1},{"info":"NaN⩚⊴⇥NaN=NaN","layer":0}]}
{"id":896,"expression_no_base_symbol":"(($3760$⪢$5463$)⨟⋌⩍($1179$⪒$1144$)-($1206$⋷$2345$)⨳⩥⨓(↔$1638$))⊴(($2486$≫≃)∑⇟⊟$2386$⊴$6616$⊪)","expression":"((∃⊬EB0⪢∃⊬1557)⨟⋌⩍(∃⊬49B⪒∃⊬478)-(∃⊬4B6⋷∃⊬929)⨳⩥⨓(↔∃⊬666))⊴((∃⊬9B6≫≃)∑⇟⊟∃⊬952⊴∃⊬19D8⊪)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":12131,"operation_count":12,"complexity_ratio":1010.9166666666666,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3760,"base":16},"right_expr":{"type":"numeric_atoms","value":5463,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1179,"base":16},"right_expr":{"type":"numeric_atoms","value":1144,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1206,"base":16},"right_expr":{"type":"numeric_atoms","value":2345,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":1638,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":2486,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2386,"base":16},"right_expr":{"type":"numeric_atoms","value":6616,"base":16}}}}},"used_operators":["Nsiff2A1zJ","rysDP5nf3Z","rGHVDoGpnC","dWAJyo7jo9","f6k1SAg4EE","nCS4ZIUYfx","23Mk6UjR3U","ruOEQAzv1W","zVYPLywUTj","U7g4x0WXJJ","X99M06cbEe"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","Tcnh7f0tEr","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3760","layer":4},{"info":"number node, value=5463","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=5463, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1179","layer":4},{"info":"number node, value=1144","layer":4},{"info":"compute binary expreesion, left_input=1179, right_input=1144, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2323","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2323, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1206","layer":4},{"info":"number node, value=2345","layer":4},{"info":"compute binary expreesion, left_input=1206, right_input=2345, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3484","layer":3},{"info":"number node, value=1638","layer":4},{"info":"compute unary expreesion, input=1638, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-1365","layer":3},{"info":"compute binary expreesion, left_input=3484, right_input=-1365, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-4849","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-4849, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2486","layer":4},{"info":"compute unary expreesion, input=2486, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=6373","layer":3},{"info":"number node, value=2386","layer":4},{"info":"number node, value=6616","layer":4},{"info":"compute binary expreesion, left_input=2386, right_input=6616, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6373, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬EB0⪢∃⊬1557)⨟⋌⩍(∃⊬49B⪒∃⊬478)-(∃⊬4B6⋷∃⊬929)⨳⩥⨓(↔∃⊬666))⊴((∃⊬9B6≫≃)∑⇟⊟∃⊬952⊴∃⊬19D8⊪)=NaN","reverse_text":"NaN=((∃⊬EB0⪢∃⊬1557)⨟⋌⩍(∃⊬49B⪒∃⊬478)-(∃⊬4B6⋷∃⊬929)⨳⩥⨓(↔∃⊬666))⊴((∃⊬9B6≫≃)∑⇟⊟∃⊬952⊴∃⊬19D8⊪)","cot":[{"info":"∃⊬EB0⪢∃⊬1557=NaN","layer":3},{"info":"∃⊬49B⪒∃⊬478=∃⊬-913","layer":3},{"info":"NaN⨟⋌⩍∃⊬-913=NaN","layer":2},{"info":"∃⊬4B6⋷∃⊬929=∃⊬D9C","layer":3},{"info":"↔∃⊬666=∃⊬-555","layer":3},{"info":"∃⊬D9C⨳⩥⨓∃⊬-555=∃⊬-12F1","layer":2},{"info":"NaN-∃⊬-12F1=NaN","layer":1},{"info":"∃⊬9B6≫≃=∃⊬18E5","layer":3},{"info":"∃⊬952⊴∃⊬19D8=NaN","layer":3},{"info":"∃⊬18E5∑⇟⊟NaN=NaN","layer":2},{"info":"NaN⊪=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":897,"expression_no_base_symbol":"⫛⫱⨽(($2247$⫡⨏$1677$)⨟⋌⩍($7493$⪨≂$2669$)⫥∨⫟(-$1886$)↬(+⊝⨔$1010$))","expression":"⫛⫱⨽((∃⊬8C7⫡⨏∃⊬68D)⨟⋌⩍(∃⊬1D45⪨≂∃⊬A6D)⫥∨⫟(-∃⊬75E)↬(+⊝⨔∃⊬3F2))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1121,"operation_count":8,"complexity_ratio":140.125,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2247,"base":16},"right_expr":{"type":"numeric_atoms","value":1677,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":7493,"base":16},"right_expr":{"type":"numeric_atoms","value":2669,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1886,"base":16}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1010,"base":16}}}}},"used_operators":["DlLNRPXxWL","KYD54nUTWz","rGHVDoGpnC","QMFrweE19q","sdazOOVcIp","B5M0gjZbta","t8gj7n24qd","DhbWaqg5eL"],"dependent_operators":["rGHVDoGpnC","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2247","layer":4},{"info":"number node, value=1677","layer":4},{"info":"compute binary expreesion, left_input=2247, right_input=1677, 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=15372","layer":3},{"info":"number node, value=7493","layer":4},{"info":"number node, value=2669","layer":4},{"info":"compute binary expreesion, left_input=7493, right_input=2669, 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=9750","layer":3},{"info":"compute binary expreesion, left_input=15372, right_input=9750, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1886","layer":4},{"info":"compute unary expreesion, input=1886, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1886","layer":3},{"info":"number node, value=1010","layer":4},{"info":"compute unary expreesion, input=1010, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute binary expreesion, left_input=-1886, right_input=1522, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', 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":"⫛⫱⨽((∃⊬8C7⫡⨏∃⊬68D)⨟⋌⩍(∃⊬1D45⪨≂∃⊬A6D)⫥∨⫟(-∃⊬75E)↬(+⊝⨔∃⊬3F2))=NaN","reverse_text":"NaN=⫛⫱⨽((∃⊬8C7⫡⨏∃⊬68D)⨟⋌⩍(∃⊬1D45⪨≂∃⊬A6D)⫥∨⫟(-∃⊬75E)↬(+⊝⨔∃⊬3F2))","cot":[{"info":"∃⊬8C7⫡⨏∃⊬68D=∃⊬3C0C","layer":3},{"info":"∃⊬1D45⪨≂∃⊬A6D=∃⊬2616","layer":3},{"info":"∃⊬3C0C⨟⋌⩍∃⊬2616=NaN","layer":2},{"info":"-∃⊬75E=∃⊬-75E","layer":3},{"info":"+⊝⨔∃⊬3F2=∃⊬5F2","layer":3},{"info":"∃⊬-75E↬∃⊬5F2=NaN","layer":2},{"info":"NaN⫥∨⫟NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":898,"expression_no_base_symbol":"(($1136$⪒$2842$)⩷∴($4573$↛⩡⫤))↬(↯⪼$1064$)≹⇙⪍($2799$⨪↰⇹$2324$)⊭↱(⋗⩬⋾(⇁⨣⪵$3915$∀⇚≩$4596$))","expression":"((∃⊬470⪒∃⊬B1A)⩷∴(∃⊬11DD↛⩡⫤))↬(↯⪼∃⊬428)≹⇙⪍(∃⊬AEF⨪↰⇹∃⊬914)⊭↱(⋗⩬⋾(⇁⨣⪵∃⊬F4B∀⇚≩∃⊬11F4))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":44109,"operation_count":11,"complexity_ratio":4009.909090909091,"tree":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1136,"base":16},"right_expr":{"type":"numeric_atoms","value":2842,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":4573,"base":16}}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1064,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2799,"base":16},"right_expr":{"type":"numeric_atoms","value":2324,"base":16}}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3915,"base":16},"right_expr":{"type":"numeric_atoms","value":4596,"base":16}}}}},"used_operators":["COABgblf1C","B5M0gjZbta","9FxExcQeMw","f6k1SAg4EE","FU0Cs4j7VP","AHs5Up7iyr","8jW3W4yZS5","tmPS8pqC7x","DpFCA1CohY","inkyxCbjAn","LRNGc0VcxI"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","dWAJyo7jo9","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1136","layer":4},{"info":"number node, value=2842","layer":4},{"info":"compute binary expreesion, left_input=1136, right_input=2842, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3978","layer":3},{"info":"number node, value=4573","layer":4},{"info":"compute unary expreesion, input=4573, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-686612","layer":3},{"info":"compute binary expreesion, left_input=-3978, right_input=-686612, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=1365236","layer":2},{"info":"number node, value=1064","layer":4},{"info":"compute unary expreesion, input=1064, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=2799","layer":4},{"info":"number node, value=2324","layer":4},{"info":"compute binary expreesion, left_input=2799, right_input=2324, 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=2799","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=2799, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=1365236, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=3915","layer":4},{"info":"number node, value=4596","layer":4},{"info":"compute binary expreesion, left_input=3915, right_input=4596, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬470⪒∃⊬B1A)⩷∴(∃⊬11DD↛⩡⫤))↬(↯⪼∃⊬428)≹⇙⪍(∃⊬AEF⨪↰⇹∃⊬914)⊭↱(⋗⩬⋾(⇁⨣⪵∃⊬F4B∀⇚≩∃⊬11F4))=NaN","reverse_text":"NaN=((∃⊬470⪒∃⊬B1A)⩷∴(∃⊬11DD↛⩡⫤))↬(↯⪼∃⊬428)≹⇙⪍(∃⊬AEF⨪↰⇹∃⊬914)⊭↱(⋗⩬⋾(⇁⨣⪵∃⊬F4B∀⇚≩∃⊬11F4))","cot":[{"info":"∃⊬470⪒∃⊬B1A=∃⊬-F8A","layer":3},{"info":"∃⊬11DD↛⩡⫤=∃⊬-A7A14","layer":3},{"info":"∃⊬-F8A⩷∴∃⊬-A7A14=∃⊬14D4F4","layer":2},{"info":"↯⪼∃⊬428=∃⊬-15","layer":3},{"info":"∃⊬AEF⨪↰⇹∃⊬914=∃⊬AEF","layer":3},{"info":"∃⊬-15≹⇙⪍∃⊬AEF=NaN","layer":2},{"info":"∃⊬14D4F4↬NaN=NaN","layer":1},{"info":"∃⊬F4B∀⇚≩∃⊬11F4=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"⋗⩬⋾NaN=NaN","layer":1},{"info":"NaN⊭↱NaN=NaN","layer":0}]}
{"id":899,"expression_no_base_symbol":"(⨰⫟⨤(($2202$≣⋋)≣⋋))∀⇚≩(($6815$⇷$1795$)⇷$8978$∼$7740$≭(⇁⨣⪵$1508$)∀⇚≩($3068$⪨≂$1271$))","expression":"(⨰⫟⨤((∃⊬89A≣⋋)≣⋋))∀⇚≩((∃⊬1A9F⇷∃⊬703)⇷∃⊬2312∼∃⊬1E3C≭(⇁⨣⪵∃⊬5E4)∀⇚≩(∃⊬BFC⪨≂∃⊬4F7))","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":147281,"operation_count":11,"complexity_ratio":13389.181818181818,"tree":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":2202,"base":16}}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6815,"base":16},"right_expr":{"type":"numeric_atoms","value":1795,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":8978,"base":16},"right_expr":{"type":"numeric_atoms","value":7740,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1508,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3068,"base":16},"right_expr":{"type":"numeric_atoms","value":1271,"base":16}}}}},"used_operators":["LRNGc0VcxI","Tw270M8GLb","Tcnh7f0tEr","rxpJgHHUmx","mp7IySMOzn","DyGG3AbaNP","inkyxCbjAn","sdazOOVcIp"],"dependent_operators":["X99M06cbEe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","B5M0gjZbta","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2202","layer":4},{"info":"compute unary expreesion, input=2202, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=4492662","layer":1},{"info":"number node, value=6815","layer":4},{"info":"number node, value=1795","layer":4},{"info":"compute binary expreesion, left_input=6815, right_input=1795, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3590","layer":3},{"info":"number node, value=8978","layer":4},{"info":"number node, value=7740","layer":4},{"info":"compute binary expreesion, left_input=8978, right_input=7740, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3590, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1508","layer":4},{"info":"compute unary expreesion, input=1508, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=3068","layer":4},{"info":"number node, value=1271","layer":4},{"info":"compute binary expreesion, left_input=3068, right_input=1271, 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=3696","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=3696, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=4492662, 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":"(⨰⫟⨤((∃⊬89A≣⋋)≣⋋))∀⇚≩((∃⊬1A9F⇷∃⊬703)⇷∃⊬2312∼∃⊬1E3C≭(⇁⨣⪵∃⊬5E4)∀⇚≩(∃⊬BFC⪨≂∃⊬4F7))=NaN","reverse_text":"NaN=(⨰⫟⨤((∃⊬89A≣⋋)≣⋋))∀⇚≩((∃⊬1A9F⇷∃⊬703)⇷∃⊬2312∼∃⊬1E3C≭(⇁⨣⪵∃⊬5E4)∀⇚≩(∃⊬BFC⪨≂∃⊬4F7))","cot":[{"info":"∃⊬89A≣⋋=∃⊬0","layer":3},{"info":"∃⊬0≣⋋=∃⊬0","layer":2},{"info":"⨰⫟⨤∃⊬0=∃⊬448D76","layer":1},{"info":"∃⊬1A9F⇷∃⊬703=∃⊬E06","layer":3},{"info":"∃⊬2312∼∃⊬1E3C=NaN","layer":3},{"info":"∃⊬E06⇷NaN=NaN","layer":2},{"info":"⇁⨣⪵∃⊬5E4=NaN","layer":3},{"info":"∃⊬BFC⪨≂∃⊬4F7=∃⊬E70","layer":3},{"info":"NaN∀⇚≩∃⊬E70=NaN","layer":2},{"info":"NaN≭NaN=NaN","layer":1},{"info":"∃⊬448D76∀⇚≩NaN=NaN","layer":0}]}
{"id":900,"expression_no_base_symbol":"(⨰⫟⨤($2096$⨵⪆$5123$)∼(⫓⪴$3194$))↺($1344$⇷$2490$)⪛($1806$⪒$2857$)≎⊠⪸($5421$⊴$4594$⋥≓≎($1359$⨳⩥⨓$2588$))","expression":"(⨰⫟⨤(∃⊬830⨵⪆∃⊬1403)∼(⫓⪴∃⊬C7A))↺(∃⊬540⇷∃⊬9BA)⪛(∃⊬70E⪒∃⊬B29)≎⊠⪸(∃⊬152D⊴∃⊬11F2⋥≓≎(∃⊬54F⨳⩥⨓∃⊬A1C))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":29225,"operation_count":12,"complexity_ratio":2435.4166666666665,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2096,"base":16},"right_expr":{"type":"numeric_atoms","value":5123,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":3194,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1344,"base":16},"right_expr":{"type":"numeric_atoms","value":2490,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1806,"base":16},"right_expr":{"type":"numeric_atoms","value":2857,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5421,"base":16},"right_expr":{"type":"numeric_atoms","value":4594,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1359,"base":16},"right_expr":{"type":"numeric_atoms","value":2588,"base":16}}}}},"used_operators":["7j4O788W3g","Tw270M8GLb","DyGG3AbaNP","2DQ55sFlQl","eLxqMNBOBk","bJkvcejdHO","uFcxV4UQCh","mp7IySMOzn","f6k1SAg4EE","Qy55tPpLXF","Nsiff2A1zJ","nCS4ZIUYfx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","rysDP5nf3Z"],"result":"∃⊬112CEE","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2096","layer":4},{"info":"number node, value=5123","layer":4},{"info":"compute binary expreesion, left_input=2096, right_input=5123, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=3194","layer":4},{"info":"compute unary expreesion, input=3194, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=10201636","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=10201636, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=1344","layer":4},{"info":"number node, value=2490","layer":4},{"info":"compute binary expreesion, left_input=1344, right_input=2490, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=4980","layer":3},{"info":"number node, value=1806","layer":4},{"info":"number node, value=2857","layer":4},{"info":"compute binary expreesion, left_input=1806, right_input=2857, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4663","layer":3},{"info":"compute binary expreesion, left_input=4980, right_input=-4663, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-4346","layer":2},{"info":"number node, value=5421","layer":4},{"info":"number node, value=4594","layer":4},{"info":"compute binary expreesion, left_input=5421, right_input=4594, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=1359","layer":4},{"info":"number node, value=2588","layer":4},{"info":"compute binary expreesion, left_input=1359, right_input=2588, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=1229","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1229, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=-4346, right_input=67, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1125614","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1125614, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1125614","layer":0}],"base":16,"result_base":16,"text":"(⨰⫟⨤(∃⊬830⨵⪆∃⊬1403)∼(⫓⪴∃⊬C7A))↺(∃⊬540⇷∃⊬9BA)⪛(∃⊬70E⪒∃⊬B29)≎⊠⪸(∃⊬152D⊴∃⊬11F2⋥≓≎(∃⊬54F⨳⩥⨓∃⊬A1C))=∃⊬112CEE","reverse_text":"∃⊬112CEE=(⨰⫟⨤(∃⊬830⨵⪆∃⊬1403)∼(⫓⪴∃⊬C7A))↺(∃⊬540⇷∃⊬9BA)⪛(∃⊬70E⪒∃⊬B29)≎⊠⪸(∃⊬152D⊴∃⊬11F2⋥≓≎(∃⊬54F⨳⩥⨓∃⊬A1C))","cot":[{"info":"∃⊬830⨵⪆∃⊬1403=∃⊬A0","layer":3},{"info":"⫓⪴∃⊬C7A=∃⊬9BAA24","layer":3},{"info":"∃⊬A0∼∃⊬9BAA24=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"∃⊬540⇷∃⊬9BA=∃⊬1374","layer":3},{"info":"∃⊬70E⪒∃⊬B29=∃⊬-1237","layer":3},{"info":"∃⊬1374⪛∃⊬-1237=∃⊬-10FA","layer":2},{"info":"∃⊬152D⊴∃⊬11F2=NaN","layer":3},{"info":"∃⊬54F⨳⩥⨓∃⊬A1C=∃⊬4CD","layer":3},{"info":"NaN⋥≓≎∃⊬4CD=∃⊬43","layer":2},{"info":"∃⊬-10FA≎⊠⪸∃⊬43=∃⊬112CEE","layer":1},{"info":"NaN↺∃⊬112CEE=∃⊬112CEE","layer":0}]}
{"id":901,"expression_no_base_symbol":"$5863$⋝⋈⪟$2304$≧⫂∧($4342$%$1342$)+⇶⊼((↣≠⋷$5621$)*$3344$⫸⊐$6263$)≭(∥⊫($1166$%$1020$)⨰($3020$↺$2286$))","expression":"∃⊬16E7⋝⋈⪟∃⊬900≧⫂∧(∃⊬10F6%∃⊬53E)+⇶⊼((↣≠⋷∃⊬15F5)*∃⊬D10⫸⊐∃⊬1877)≭(∥⊫(∃⊬48E%∃⊬3FC)⨰(∃⊬BCC↺∃⊬8EE))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":586,"operation_count":12,"complexity_ratio":48.833333333333336,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":5863,"base":16},"right_expr":{"type":"numeric_atoms","value":2304,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4342,"base":16},"right_expr":{"type":"numeric_atoms","value":1342,"base":16}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":5621,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3344,"base":16},"right_expr":{"type":"numeric_atoms","value":6263,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1166,"base":16},"right_expr":{"type":"numeric_atoms","value":1020,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":3020,"base":16},"right_expr":{"type":"numeric_atoms","value":2286,"base":16}}}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","Ph9nP6C5qx","2DDjHMKMc0","k8jYdgA6NY","9HNa5Wba9A","Asc51vEJeQ","mqXw5SEYmG","P8v4zCKN1o","eewbuw0ToL","7j4O788W3g"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","XhwjNDsVaA","AHs5Up7iyr","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5863","layer":4},{"info":"number node, value=2304","layer":4},{"info":"compute binary expreesion, left_input=5863, right_input=2304, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=5863","layer":3},{"info":"number node, value=4342","layer":4},{"info":"number node, value=1342","layer":4},{"info":"compute binary expreesion, left_input=4342, right_input=1342, op_id = k8jYdgA6NY binary_op_definition= 'None', output=316","layer":3},{"info":"compute binary expreesion, left_input=5863, right_input=316, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-157","layer":2},{"info":"number node, value=5621","layer":4},{"info":"compute unary expreesion, input=5621, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3344","layer":4},{"info":"number node, value=6263","layer":4},{"info":"compute binary expreesion, left_input=3344, right_input=6263, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=24927","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24927, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-157, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1166","layer":4},{"info":"number node, value=1020","layer":4},{"info":"compute binary expreesion, left_input=1166, right_input=1020, op_id = k8jYdgA6NY binary_op_definition= 'None', output=146","layer":3},{"info":"number node, value=3020","layer":4},{"info":"number node, value=2286","layer":4},{"info":"compute binary expreesion, left_input=3020, right_input=2286, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2286","layer":3},{"info":"compute binary expreesion, left_input=146, right_input=2286, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2130","layer":2},{"info":"compute unary expreesion, input=-2130, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=-55","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-55, 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":"∃⊬16E7⋝⋈⪟∃⊬900≧⫂∧(∃⊬10F6%∃⊬53E)+⇶⊼((↣≠⋷∃⊬15F5)*∃⊬D10⫸⊐∃⊬1877)≭(∥⊫(∃⊬48E%∃⊬3FC)⨰(∃⊬BCC↺∃⊬8EE))=NaN","reverse_text":"NaN=∃⊬16E7⋝⋈⪟∃⊬900≧⫂∧(∃⊬10F6%∃⊬53E)+⇶⊼((↣≠⋷∃⊬15F5)*∃⊬D10⫸⊐∃⊬1877)≭(∥⊫(∃⊬48E%∃⊬3FC)⨰(∃⊬BCC↺∃⊬8EE))","cot":[{"info":"∃⊬16E7⋝⋈⪟∃⊬900=∃⊬16E7","layer":3},{"info":"∃⊬10F6%∃⊬53E=∃⊬13C","layer":3},{"info":"∃⊬16E7≧⫂∧∃⊬13C=∃⊬-9D","layer":2},{"info":"↣≠⋷∃⊬15F5=NaN","layer":3},{"info":"∃⊬D10⫸⊐∃⊬1877=∃⊬615F","layer":3},{"info":"NaN*∃⊬615F=NaN","layer":2},{"info":"∃⊬-9D+⇶⊼NaN=NaN","layer":1},{"info":"∃⊬48E%∃⊬3FC=∃⊬92","layer":3},{"info":"∃⊬BCC↺∃⊬8EE=∃⊬8EE","layer":3},{"info":"∃⊬92⨰∃⊬8EE=∃⊬-852","layer":2},{"info":"∥⊫∃⊬-852=∃⊬-37","layer":1},{"info":"NaN≭∃⊬-37=NaN","layer":0}]}
{"id":902,"expression_no_base_symbol":"((($1967$⪄$9000$)⊪)⩨(⨞⊢(≦∁$4907$)))⨟⋌⩍(⫛⫱⨽(($7596$*$1042$)⨰($2080$≎⊠⪸$4687$)))","expression":"(((∃⊬7AF⪄∃⊬2328)⊪)⩨(⨞⊢(≦∁∃⊬132B)))⨟⋌⩍(⫛⫱⨽((∃⊬1DAC*∃⊬412)⨰(∃⊬820≎⊠⪸∃⊬124F)))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":972475,"operation_count":10,"complexity_ratio":97247.5,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1967,"base":16},"right_expr":{"type":"numeric_atoms","value":9000,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":4907,"base":16}}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7596,"base":16},"right_expr":{"type":"numeric_atoms","value":1042,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2080,"base":16},"right_expr":{"type":"numeric_atoms","value":4687,"base":16}}}}},"used_operators":["rGHVDoGpnC","2DlMacCsIx","zVYPLywUTj","SUmda5xLS4","xUOZtlo3hN","9ICcGScMcE","DlLNRPXxWL","eewbuw0ToL","9HNa5Wba9A","bJkvcejdHO"],"dependent_operators":["Tcnh7f0tEr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"number node, value=9000","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=9000, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-323205","layer":3},{"info":"compute unary expreesion, input=-323205, 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=inf","layer":2},{"info":"number node, value=4907","layer":4},{"info":"compute unary expreesion, input=4907, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=4907","layer":3},{"info":"compute unary expreesion, input=4907, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5081","layer":2},{"info":"compute binary expreesion, left_input=inf, right_input=-5081, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":1},{"info":"number node, value=7596","layer":4},{"info":"number node, value=1042","layer":4},{"info":"compute binary expreesion, left_input=7596, right_input=1042, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=7915032","layer":3},{"info":"number node, value=2080","layer":4},{"info":"number node, value=4687","layer":4},{"info":"compute binary expreesion, left_input=2080, right_input=4687, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=538247","layer":3},{"info":"compute binary expreesion, left_input=7915032, right_input=538247, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=7376795","layer":2},{"info":"compute unary expreesion, input=7376795, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', 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":"(((∃⊬7AF⪄∃⊬2328)⊪)⩨(⨞⊢(≦∁∃⊬132B)))⨟⋌⩍(⫛⫱⨽((∃⊬1DAC*∃⊬412)⨰(∃⊬820≎⊠⪸∃⊬124F)))=NaN","reverse_text":"NaN=(((∃⊬7AF⪄∃⊬2328)⊪)⩨(⨞⊢(≦∁∃⊬132B)))⨟⋌⩍(⫛⫱⨽((∃⊬1DAC*∃⊬412)⨰(∃⊬820≎⊠⪸∃⊬124F)))","cot":[{"info":"∃⊬7AF⪄∃⊬2328=∃⊬-4EE85","layer":3},{"info":"∃⊬-4EE85⊪=Inf","layer":2},{"info":"≦∁∃⊬132B=∃⊬132B","layer":3},{"info":"⨞⊢∃⊬132B=∃⊬-13D9","layer":2},{"info":"Inf⩨∃⊬-13D9=∃⊬0","layer":1},{"info":"∃⊬1DAC*∃⊬412=∃⊬78C618","layer":3},{"info":"∃⊬820≎⊠⪸∃⊬124F=∃⊬83687","layer":3},{"info":"∃⊬78C618⨰∃⊬83687=∃⊬708F9B","layer":2},{"info":"⫛⫱⨽∃⊬708F9B=NaN","layer":1},{"info":"∃⊬0⨟⋌⩍NaN=NaN","layer":0}]}
{"id":903,"expression_no_base_symbol":"(↯⪼(($1912$/$4421$)⪐))⋷(⊙↵-($1230$⇼⇔∾$2106$))⊉≛↸($2822$⋝⋈⪟$1300$)⊴($3269$∼$2343$)","expression":"(↯⪼((∃⊬778/∃⊬1145)⪐))⋷(⊙↵-(∃⊬4CE⇼⇔∾∃⊬83A))⊉≛↸(∃⊬B06⋝⋈⪟∃⊬514)⊴(∃⊬CC5∼∃⊬927)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":1038,"operation_count":10,"complexity_ratio":103.8,"tree":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1912,"base":16},"right_expr":{"type":"numeric_atoms","value":4421,"base":16}}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1230,"base":16},"right_expr":{"type":"numeric_atoms","value":2106,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2822,"base":16},"right_expr":{"type":"numeric_atoms","value":1300,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3269,"base":16},"right_expr":{"type":"numeric_atoms","value":2343,"base":16}}}}},"used_operators":["23Mk6UjR3U","8jW3W4yZS5","eH2TOUuTDT","XhwjNDsVaA","DZ8iAZOCBD","oWn0xqSxBt","tifHPKVTfV","Nsiff2A1zJ","2DDjHMKMc0","DyGG3AbaNP"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬2A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1912","layer":4},{"info":"number node, value=4421","layer":4},{"info":"compute binary expreesion, left_input=1912, right_input=4421, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=0","layer":2},{"info":"compute unary expreesion, input=0, 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=1230","layer":4},{"info":"number node, value=2106","layer":4},{"info":"compute binary expreesion, left_input=1230, right_input=2106, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=876","layer":3},{"info":"compute unary expreesion, input=876, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":2},{"info":"number node, value=2822","layer":4},{"info":"number node, value=1300","layer":4},{"info":"compute binary expreesion, left_input=2822, right_input=1300, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2822","layer":3},{"info":"number node, value=3269","layer":4},{"info":"number node, value=2343","layer":4},{"info":"compute binary expreesion, left_input=3269, right_input=2343, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2822, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=-2","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=-2, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=42","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬778/∃⊬1145)⪐))⋷(⊙↵-(∃⊬4CE⇼⇔∾∃⊬83A))⊉≛↸(∃⊬B06⋝⋈⪟∃⊬514)⊴(∃⊬CC5∼∃⊬927)=∃⊬2A","reverse_text":"∃⊬2A=(↯⪼((∃⊬778/∃⊬1145)⪐))⋷(⊙↵-(∃⊬4CE⇼⇔∾∃⊬83A))⊉≛↸(∃⊬B06⋝⋈⪟∃⊬514)⊴(∃⊬CC5∼∃⊬927)","cot":[{"info":"∃⊬778/∃⊬1145=∃⊬0","layer":3},{"info":"∃⊬0⪐=∃⊬0","layer":2},{"info":"↯⪼∃⊬0=∃⊬-15","layer":1},{"info":"∃⊬4CE⇼⇔∾∃⊬83A=∃⊬36C","layer":3},{"info":"⊙↵-∃⊬36C=∃⊬-1","layer":2},{"info":"∃⊬B06⋝⋈⪟∃⊬514=∃⊬B06","layer":3},{"info":"∃⊬CC5∼∃⊬927=NaN","layer":3},{"info":"∃⊬B06⊴NaN=NaN","layer":2},{"info":"∃⊬-1⊉≛↸NaN=∃⊬-2","layer":1},{"info":"∃⊬-15⋷∃⊬-2=∃⊬2A","layer":0}]}
{"id":904,"expression_no_base_symbol":"($6200$∑⇟⊟$2750$⪠⩆⊳)⋳⪒($4710$⪄$4489$⩨(↔$3314$))⪨≂(+⊝⨔(($1207$⫥∨⫟$2636$)⩚⊴⇥($3852$↙$5359$)))","expression":"(∃⊬1838∑⇟⊟∃⊬ABE⪠⩆⊳)⋳⪒(∃⊬1266⪄∃⊬1189⩨(↔∃⊬CF2))⪨≂(+⊝⨔((∃⊬4B7⫥∨⫟∃⊬A4C)⩚⊴⇥(∃⊬F0C↙∃⊬14EF)))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":5664,"operation_count":11,"complexity_ratio":514.9090909090909,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":6200,"base":16},"right_expr":{"type":"numeric_atoms","value":2750,"base":16}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4710,"base":16},"right_expr":{"type":"numeric_atoms","value":4489,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":3314,"base":16}}}},"right_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":1207,"base":16},"right_expr":{"type":"numeric_atoms","value":2636,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":3852,"base":16},"right_expr":{"type":"numeric_atoms","value":5359,"base":16}}}}},"used_operators":["sdazOOVcIp","12rbrZMWeM","JLbD19bQDL","U7g4x0WXJJ","2DlMacCsIx","SUmda5xLS4","ruOEQAzv1W","DhbWaqg5eL","NTOWxs364D","KYD54nUTWz","yyfyN0ffXY"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6200","layer":4},{"info":"number node, value=2750","layer":4},{"info":"compute binary expreesion, left_input=6200, right_input=2750, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=nan","layer":2},{"info":"number node, value=4710","layer":4},{"info":"number node, value=4489","layer":4},{"info":"compute binary expreesion, left_input=4710, right_input=4489, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-711125","layer":3},{"info":"number node, value=3314","layer":4},{"info":"compute unary expreesion, input=3314, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-3041","layer":3},{"info":"compute binary expreesion, left_input=-711125, right_input=-3041, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=1207","layer":4},{"info":"number node, value=2636","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=2636, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=3852","layer":4},{"info":"number node, value=5359","layer":4},{"info":"compute binary expreesion, left_input=3852, right_input=5359, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-16077","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-16077, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=1522, 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":"(∃⊬1838∑⇟⊟∃⊬ABE⪠⩆⊳)⋳⪒(∃⊬1266⪄∃⊬1189⩨(↔∃⊬CF2))⪨≂(+⊝⨔((∃⊬4B7⫥∨⫟∃⊬A4C)⩚⊴⇥(∃⊬F0C↙∃⊬14EF)))=NaN","reverse_text":"NaN=(∃⊬1838∑⇟⊟∃⊬ABE⪠⩆⊳)⋳⪒(∃⊬1266⪄∃⊬1189⩨(↔∃⊬CF2))⪨≂(+⊝⨔((∃⊬4B7⫥∨⫟∃⊬A4C)⩚⊴⇥(∃⊬F0C↙∃⊬14EF)))","cot":[{"info":"∃⊬1838∑⇟⊟∃⊬ABE=NaN","layer":3},{"info":"NaN⪠⩆⊳=NaN","layer":2},{"info":"∃⊬1266⪄∃⊬1189=∃⊬-AD9D5","layer":3},{"info":"↔∃⊬CF2=∃⊬-BE1","layer":3},{"info":"∃⊬-AD9D5⩨∃⊬-BE1=∃⊬0","layer":2},{"info":"NaN⋳⪒∃⊬0=NaN","layer":1},{"info":"∃⊬4B7⫥∨⫟∃⊬A4C=NaN","layer":3},{"info":"∃⊬F0C↙∃⊬14EF=∃⊬-3ECD","layer":3},{"info":"NaN⩚⊴⇥∃⊬-3ECD=NaN","layer":2},{"info":"+⊝⨔NaN=∃⊬5F2","layer":1},{"info":"NaN⪨≂∃⊬5F2=NaN","layer":0}]}
{"id":905,"expression_no_base_symbol":"⋗⩬⋾(($5913$⫥∨⫟$1727$)⩚⊴⇥($4630$%$2920$)⪐)","expression":"⋗⩬⋾((∃⊬1719⫥∨⫟∃⊬6BF)⩚⊴⇥(∃⊬1216%∃⊬B68)⪐)","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":163,"operation_count":5,"complexity_ratio":32.6,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5913,"base":16},"right_expr":{"type":"numeric_atoms","value":1727,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4630,"base":16},"right_expr":{"type":"numeric_atoms","value":2920,"base":16}}}}},"used_operators":["DpFCA1CohY","eH2TOUuTDT","NTOWxs364D","KYD54nUTWz","k8jYdgA6NY"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5913","layer":4},{"info":"number node, value=1727","layer":4},{"info":"compute binary expreesion, left_input=5913, right_input=1727, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"number node, value=4630","layer":4},{"info":"number node, value=2920","layer":4},{"info":"compute binary expreesion, left_input=4630, right_input=2920, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1710","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1710, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=nan","layer":1},{"info":"compute 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":"⋗⩬⋾((∃⊬1719⫥∨⫟∃⊬6BF)⩚⊴⇥(∃⊬1216%∃⊬B68)⪐)=NaN","reverse_text":"NaN=⋗⩬⋾((∃⊬1719⫥∨⫟∃⊬6BF)⩚⊴⇥(∃⊬1216%∃⊬B68)⪐)","cot":[{"info":"∃⊬1719⫥∨⫟∃⊬6BF=NaN","layer":3},{"info":"∃⊬1216%∃⊬B68=∃⊬6AE","layer":3},{"info":"NaN⩚⊴⇥∃⊬6AE=NaN","layer":2},{"info":"NaN⪐=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":906,"expression_no_base_symbol":"⪲⇎((⨞⊢($2169$⪒$5346$))⊭↱($1095$⇋≉)⇷($4925$⨰$2010$))","expression":"⪲⇎((⨞⊢(∃⊬879⪒∃⊬14E2))⊭↱(∃⊬447⇋≉)⇷(∃⊬133D⨰∃⊬7DA))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":29316,"operation_count":7,"complexity_ratio":4188.0,"tree":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2169,"base":16},"right_expr":{"type":"numeric_atoms","value":5346,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":1095,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4925,"base":16},"right_expr":{"type":"numeric_atoms","value":2010,"base":16}}}}},"used_operators":["XPYlsWDdGa","COABgblf1C","xUOZtlo3hN","f6k1SAg4EE","mp7IySMOzn","XIabStNQrY","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1742","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2169","layer":4},{"info":"number node, value=5346","layer":4},{"info":"compute binary expreesion, left_input=2169, right_input=5346, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-7515","layer":3},{"info":"compute unary expreesion, input=-7515, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=7341","layer":2},{"info":"number node, value=1095","layer":4},{"info":"compute unary expreesion, input=1095, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=2092","layer":3},{"info":"number node, value=4925","layer":4},{"info":"number node, value=2010","layer":4},{"info":"compute binary expreesion, left_input=4925, right_input=2010, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2925","layer":3},{"info":"compute binary expreesion, left_input=2092, right_input=2925, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5850","layer":2},{"info":"compute binary expreesion, left_input=7341, right_input=5850, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2977","layer":1},{"info":"compute unary expreesion, input=-2977, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-5954","layer":0}],"base":16,"result_base":16,"text":"⪲⇎((⨞⊢(∃⊬879⪒∃⊬14E2))⊭↱(∃⊬447⇋≉)⇷(∃⊬133D⨰∃⊬7DA))=∃⊬-1742","reverse_text":"∃⊬-1742=⪲⇎((⨞⊢(∃⊬879⪒∃⊬14E2))⊭↱(∃⊬447⇋≉)⇷(∃⊬133D⨰∃⊬7DA))","cot":[{"info":"∃⊬879⪒∃⊬14E2=∃⊬-1D5B","layer":3},{"info":"⨞⊢∃⊬-1D5B=∃⊬1CAD","layer":2},{"info":"∃⊬447⇋≉=∃⊬82C","layer":3},{"info":"∃⊬133D⨰∃⊬7DA=∃⊬B6D","layer":3},{"info":"∃⊬82C⇷∃⊬B6D=∃⊬16DA","layer":2},{"info":"∃⊬1CAD⊭↱∃⊬16DA=∃⊬-BA1","layer":1},{"info":"⪲⇎∃⊬-BA1=∃⊬-1742","layer":0}]}
{"id":907,"expression_no_base_symbol":"((($2088$⊭∹↮)≋⫹)/(⨈⫕($3443$⊪)))⨳⩥⨓(($2694$⨵⪆$3263$)⫸⊐$2790$⪮%⊝$5194$*(⊙↵-($2538$⪄$5206$)))","expression":"(((∃⊬828⊭∹↮)≋⫹)/(⨈⫕(∃⊬D73⊪)))⨳⩥⨓((∃⊬A86⨵⪆∃⊬CBF)⫸⊐∃⊬AE6⪮%⊝∃⊬144A*(⊙↵-(∃⊬9EA⪄∃⊬1456)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":393702,"operation_count":12,"complexity_ratio":32808.5,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":2088,"base":16}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3443,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2694,"base":16},"right_expr":{"type":"numeric_atoms","value":3263,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":2790,"base":16},"right_expr":{"type":"numeric_atoms","value":5194,"base":16}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2538,"base":16},"right_expr":{"type":"numeric_atoms","value":5206,"base":16}}}}},"used_operators":["nCS4ZIUYfx","XhwjNDsVaA","N41Kp7NANJ","xNBdhnnwKq","megm06wKyl","zVYPLywUTj","9HNa5Wba9A","mqXw5SEYmG","2DQ55sFlQl","IWmyXbctLI","oWn0xqSxBt","SUmda5xLS4"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬F373","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2088","layer":4},{"info":"compute unary expreesion, input=2088, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=4176","layer":3},{"info":"compute unary expreesion, input=4176, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-8352","layer":2},{"info":"number node, value=3443","layer":4},{"info":"compute unary expreesion, input=3443, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=-8352, right_input=-21, op_id = XhwjNDsVaA binary_op_definition= 'None', output=397","layer":1},{"info":"number node, value=2694","layer":4},{"info":"number node, value=3263","layer":4},{"info":"compute binary expreesion, left_input=2694, right_input=3263, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2790","layer":4},{"info":"number node, value=5194","layer":4},{"info":"compute binary expreesion, left_input=2790, right_input=5194, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=5896","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=5896, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=320","layer":2},{"info":"number node, value=2538","layer":4},{"info":"number node, value=5206","layer":4},{"info":"compute binary expreesion, left_input=2538, right_input=5206, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-392537","layer":3},{"info":"compute unary expreesion, input=-392537, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"compute binary expreesion, left_input=320, right_input=196, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=62720","layer":1},{"info":"compute binary expreesion, left_input=397, right_input=62720, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=62323","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬828⊭∹↮)≋⫹)/(⨈⫕(∃⊬D73⊪)))⨳⩥⨓((∃⊬A86⨵⪆∃⊬CBF)⫸⊐∃⊬AE6⪮%⊝∃⊬144A*(⊙↵-(∃⊬9EA⪄∃⊬1456)))=∃⊬F373","reverse_text":"∃⊬F373=(((∃⊬828⊭∹↮)≋⫹)/(⨈⫕(∃⊬D73⊪)))⨳⩥⨓((∃⊬A86⨵⪆∃⊬CBF)⫸⊐∃⊬AE6⪮%⊝∃⊬144A*(⊙↵-(∃⊬9EA⪄∃⊬1456)))","cot":[{"info":"∃⊬828⊭∹↮=∃⊬1050","layer":3},{"info":"∃⊬1050≋⫹=∃⊬-20A0","layer":2},{"info":"∃⊬D73⊪=∃⊬0","layer":3},{"info":"⨈⫕∃⊬0=∃⊬-15","layer":2},{"info":"∃⊬-20A0/∃⊬-15=∃⊬18D","layer":1},{"info":"∃⊬A86⨵⪆∃⊬CBF=∃⊬A0","layer":3},{"info":"∃⊬AE6⪮%⊝∃⊬144A=∃⊬1708","layer":3},{"info":"∃⊬A0⫸⊐∃⊬1708=∃⊬140","layer":2},{"info":"∃⊬9EA⪄∃⊬1456=∃⊬-5FD59","layer":3},{"info":"⊙↵-∃⊬-5FD59=∃⊬C4","layer":2},{"info":"∃⊬140*∃⊬C4=∃⊬F500","layer":1},{"info":"∃⊬18D⨳⩥⨓∃⊬F500=∃⊬F373","layer":0}]}
{"id":908,"expression_no_base_symbol":"($3547$≋⫹)⋳⪒($3467$⋫)⫸⊐($4051$⇷$3050$⊉≛↸($3623$⊭↱$2486$))⪨≂(($1610$⊭↱$1360$)⨓(↥$2024$)⪨≂(⨰⫟⨤$3203$⪢$1678$))","expression":"(∃⊬DDB≋⫹)⋳⪒(∃⊬D8B⋫)⫸⊐(∃⊬FD3⇷∃⊬BEA⊉≛↸(∃⊬E27⊭↱∃⊬9B6))⪨≂((∃⊬64A⊭↱∃⊬550)⨓(↥∃⊬7E8)⪨≂(⨰⫟⨤∃⊬C83⪢∃⊬68E))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":67200,"operation_count":14,"complexity_ratio":4800.0,"tree":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":3547,"base":16}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":3467,"base":16}}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":4051,"base":16},"right_expr":{"type":"numeric_atoms","value":3050,"base":16}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3623,"base":16},"right_expr":{"type":"numeric_atoms","value":2486,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1610,"base":16},"right_expr":{"type":"numeric_atoms","value":1360,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":2024,"base":16}}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3203,"base":16},"right_expr":{"type":"numeric_atoms","value":1678,"base":16}}}}},"used_operators":["sdazOOVcIp","mqXw5SEYmG","12rbrZMWeM","N41Kp7NANJ","JL8yIekQnl","DZ8iAZOCBD","mp7IySMOzn","COABgblf1C","3ViojmjbAp","A8NUZmVepG","Tw270M8GLb","dWAJyo7jo9"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3547","layer":4},{"info":"compute unary expreesion, input=3547, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-7094","layer":3},{"info":"number node, value=3467","layer":4},{"info":"compute unary expreesion, input=3467, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=3467","layer":3},{"info":"compute binary expreesion, left_input=-7094, right_input=3467, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-17942","layer":2},{"info":"number node, value=4051","layer":4},{"info":"number node, value=3050","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=3050, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=6100","layer":3},{"info":"number node, value=3623","layer":4},{"info":"number node, value=2486","layer":4},{"info":"compute binary expreesion, left_input=3623, right_input=2486, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-2269","layer":3},{"info":"compute binary expreesion, left_input=6100, right_input=-2269, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=12200","layer":2},{"info":"compute binary expreesion, left_input=-17942, right_input=12200, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=968","layer":1},{"info":"number node, value=1610","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=1360, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-495","layer":3},{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=35","layer":3},{"info":"compute binary expreesion, left_input=-495, right_input=35, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-38","layer":2},{"info":"number node, value=3203","layer":4},{"info":"number node, value=1678","layer":4},{"info":"compute binary expreesion, left_input=3203, right_input=1678, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-38, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=968, 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":"(∃⊬DDB≋⫹)⋳⪒(∃⊬D8B⋫)⫸⊐(∃⊬FD3⇷∃⊬BEA⊉≛↸(∃⊬E27⊭↱∃⊬9B6))⪨≂((∃⊬64A⊭↱∃⊬550)⨓(↥∃⊬7E8)⪨≂(⨰⫟⨤∃⊬C83⪢∃⊬68E))=NaN","reverse_text":"NaN=(∃⊬DDB≋⫹)⋳⪒(∃⊬D8B⋫)⫸⊐(∃⊬FD3⇷∃⊬BEA⊉≛↸(∃⊬E27⊭↱∃⊬9B6))⪨≂((∃⊬64A⊭↱∃⊬550)⨓(↥∃⊬7E8)⪨≂(⨰⫟⨤∃⊬C83⪢∃⊬68E))","cot":[{"info":"∃⊬DDB≋⫹=∃⊬-1BB6","layer":3},{"info":"∃⊬D8B⋫=∃⊬D8B","layer":3},{"info":"∃⊬-1BB6⋳⪒∃⊬D8B=∃⊬-4616","layer":2},{"info":"∃⊬FD3⇷∃⊬BEA=∃⊬17D4","layer":3},{"info":"∃⊬E27⊭↱∃⊬9B6=∃⊬-8DD","layer":3},{"info":"∃⊬17D4⊉≛↸∃⊬-8DD=∃⊬2FA8","layer":2},{"info":"∃⊬-4616⫸⊐∃⊬2FA8=∃⊬3C8","layer":1},{"info":"∃⊬64A⊭↱∃⊬550=∃⊬-1EF","layer":3},{"info":"↥∃⊬7E8=∃⊬23","layer":3},{"info":"∃⊬-1EF⨓∃⊬23=∃⊬-26","layer":2},{"info":"∃⊬C83⪢∃⊬68E=NaN","layer":3},{"info":"⨰⫟⨤NaN=NaN","layer":2},{"info":"∃⊬-26⪨≂NaN=NaN","layer":1},{"info":"∃⊬3C8⪨≂NaN=NaN","layer":0}]}
{"id":909,"expression_no_base_symbol":"($1729$/$5009$)≎⊠⪸($2020$⫩⊇)⋥≓≎((⨵≀≌$3687$)⇼⇔∾$5761$⪮%⊝$1063$)+(↥(($1157$⊭↱$1481$)≦≮≮))","expression":"(∃⊬6C1/∃⊬1391)≎⊠⪸(∃⊬7E4⫩⊇)⋥≓≎((⨵≀≌∃⊬E67)⇼⇔∾∃⊬1681⪮%⊝∃⊬427)+(↥((∃⊬485⊭↱∃⊬5C9)≦≮≮))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":80,"operation_count":11,"complexity_ratio":7.2727272727272725,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1729,"base":16},"right_expr":{"type":"numeric_atoms","value":5009,"base":16}},"right_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"numeric_atoms","value":2020,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3687,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5761,"base":16},"right_expr":{"type":"numeric_atoms","value":1063,"base":16}}}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1157,"base":16},"right_expr":{"type":"numeric_atoms","value":1481,"base":16}}}}},"used_operators":["W4YGzv6Whe","Qy55tPpLXF","bJkvcejdHO","XhwjNDsVaA","BjRHVeLaeN","tifHPKVTfV","srAu1WTS94","IWmyXbctLI","A8NUZmVepG","D4vGDi5EA2","COABgblf1C"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬B2E2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1729","layer":4},{"info":"number node, value=5009","layer":4},{"info":"compute binary expreesion, left_input=1729, right_input=5009, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=2020","layer":4},{"info":"compute unary expreesion, input=2020, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=-1978","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-1978, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"number node, value=3687","layer":4},{"info":"compute unary expreesion, input=3687, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11061","layer":3},{"info":"number node, value=5761","layer":4},{"info":"number node, value=1063","layer":4},{"info":"compute binary expreesion, left_input=5761, right_input=1063, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=11838","layer":3},{"info":"compute binary expreesion, left_input=-11061, right_input=11838, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=22899","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=22899, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=45764","layer":1},{"info":"number node, value=1157","layer":4},{"info":"number node, value=1481","layer":4},{"info":"compute binary expreesion, left_input=1157, right_input=1481, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=653","layer":3},{"info":"compute unary expreesion, input=653, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-1959","layer":2},{"info":"compute unary expreesion, input=-1959, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=30","layer":1},{"info":"compute binary expreesion, left_input=45764, right_input=30, op_id = W4YGzv6Whe binary_op_definition= 'None', output=45794","layer":0}],"base":16,"result_base":16,"text":"(∃⊬6C1/∃⊬1391)≎⊠⪸(∃⊬7E4⫩⊇)⋥≓≎((⨵≀≌∃⊬E67)⇼⇔∾∃⊬1681⪮%⊝∃⊬427)+(↥((∃⊬485⊭↱∃⊬5C9)≦≮≮))=∃⊬B2E2","reverse_text":"∃⊬B2E2=(∃⊬6C1/∃⊬1391)≎⊠⪸(∃⊬7E4⫩⊇)⋥≓≎((⨵≀≌∃⊬E67)⇼⇔∾∃⊬1681⪮%⊝∃⊬427)+(↥((∃⊬485⊭↱∃⊬5C9)≦≮≮))","cot":[{"info":"∃⊬6C1/∃⊬1391=∃⊬0","layer":3},{"info":"∃⊬7E4⫩⊇=∃⊬-7BA","layer":3},{"info":"∃⊬0≎⊠⪸∃⊬-7BA=∃⊬43","layer":2},{"info":"⨵≀≌∃⊬E67=∃⊬-2B35","layer":3},{"info":"∃⊬1681⪮%⊝∃⊬427=∃⊬2E3E","layer":3},{"info":"∃⊬-2B35⇼⇔∾∃⊬2E3E=∃⊬5973","layer":2},{"info":"∃⊬43⋥≓≎∃⊬5973=∃⊬B2C4","layer":1},{"info":"∃⊬485⊭↱∃⊬5C9=∃⊬28D","layer":3},{"info":"∃⊬28D≦≮≮=∃⊬-7A7","layer":2},{"info":"↥∃⊬-7A7=∃⊬1E","layer":1},{"info":"∃⊬B2C4+∃⊬1E=∃⊬B2E2","layer":0}]}
{"id":910,"expression_no_base_symbol":"(($7604$*$1772$)⩷∴$1542$⨓$1360$≎⊠⪸($2954$⊴$1383$≭(↥$9116$)))≹⇙⪍((($3577$⨸⪁$1125$)⨐⩸⫘($5728$/$2768$))≫≃)","expression":"((∃⊬1DB4*∃⊬6EC)⩷∴∃⊬606⨓∃⊬550≎⊠⪸(∃⊬B8A⊴∃⊬567≭(↥∃⊬239C)))≹⇙⪍(((∃⊬DF9⨸⪁∃⊬465)⨐⩸⫘(∃⊬1660/∃⊬AD0))≫≃)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7275,"operation_count":12,"complexity_ratio":606.25,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7604,"base":16},"right_expr":{"type":"numeric_atoms","value":1772,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":1542,"base":16},"right_expr":{"type":"numeric_atoms","value":1360,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2954,"base":16},"right_expr":{"type":"numeric_atoms","value":1383,"base":16}},"right_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":9116,"base":16}}}},"right_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":3577,"base":16},"right_expr":{"type":"numeric_atoms","value":1125,"base":16}},"right_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5728,"base":16},"right_expr":{"type":"numeric_atoms","value":2768,"base":16}}}}},"used_operators":["AHs5Up7iyr","bJkvcejdHO","9FxExcQeMw","9HNa5Wba9A","3ViojmjbAp","rxpJgHHUmx","Nsiff2A1zJ","A8NUZmVepG","X99M06cbEe","fu6greOZ01","g55IO6H4Gj","XhwjNDsVaA"],"dependent_operators":["dWAJyo7jo9","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","AHs5Up7iyr","dWAJyo7jo9","14qkJME0vr","k8jYdgA6NY","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","3ViojmjbAp","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7604","layer":4},{"info":"number node, value=1772","layer":4},{"info":"compute binary expreesion, left_input=7604, right_input=1772, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=13474288","layer":3},{"info":"number node, value=1542","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=1542, right_input=1360, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1363","layer":3},{"info":"compute binary expreesion, left_input=13474288, right_input=-1363, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=26951270","layer":2},{"info":"number node, value=2954","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=2954, right_input=1383, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=9116","layer":4},{"info":"compute unary expreesion, input=9116, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=38","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=38, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=26951270, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=3577","layer":4},{"info":"number node, value=1125","layer":4},{"info":"compute binary expreesion, left_input=3577, right_input=1125, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=9404","layer":3},{"info":"number node, value=5728","layer":4},{"info":"number node, value=2768","layer":4},{"info":"compute binary expreesion, left_input=5728, right_input=2768, op_id = XhwjNDsVaA binary_op_definition= 'None', output=2","layer":3},{"info":"compute binary expreesion, left_input=9404, right_input=2, 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=-5","layer":2},{"info":"compute unary expreesion, input=-5, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=1391","layer":1},{"info":"compute binary expreesion, left_input=67, right_input=1391, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬1DB4*∃⊬6EC)⩷∴∃⊬606⨓∃⊬550≎⊠⪸(∃⊬B8A⊴∃⊬567≭(↥∃⊬239C)))≹⇙⪍(((∃⊬DF9⨸⪁∃⊬465)⨐⩸⫘(∃⊬1660/∃⊬AD0))≫≃)=NaN","reverse_text":"NaN=((∃⊬1DB4*∃⊬6EC)⩷∴∃⊬606⨓∃⊬550≎⊠⪸(∃⊬B8A⊴∃⊬567≭(↥∃⊬239C)))≹⇙⪍(((∃⊬DF9⨸⪁∃⊬465)⨐⩸⫘(∃⊬1660/∃⊬AD0))≫≃)","cot":[{"info":"∃⊬1DB4*∃⊬6EC=∃⊬CD99F0","layer":3},{"info":"∃⊬606⨓∃⊬550=∃⊬-553","layer":3},{"info":"∃⊬CD99F0⩷∴∃⊬-553=∃⊬19B3E66","layer":2},{"info":"∃⊬B8A⊴∃⊬567=NaN","layer":3},{"info":"↥∃⊬239C=∃⊬26","layer":3},{"info":"NaN≭∃⊬26=NaN","layer":2},{"info":"∃⊬19B3E66≎⊠⪸NaN=∃⊬43","layer":1},{"info":"∃⊬DF9⨸⪁∃⊬465=∃⊬24BC","layer":3},{"info":"∃⊬1660/∃⊬AD0=∃⊬2","layer":3},{"info":"∃⊬24BC⨐⩸⫘∃⊬2=∃⊬-5","layer":2},{"info":"∃⊬-5≫≃=∃⊬56F","layer":1},{"info":"∃⊬43≹⇙⪍∃⊬56F=NaN","layer":0}]}
{"id":911,"expression_no_base_symbol":"⫛⫱⨽(($1096$⋷$2038$)⩚⊴⇥($1217$↺$1625$)≭(⨵≀≌$3569$)⇷$8833$⪮%⊝$3376$)","expression":"⫛⫱⨽((∃⊬448⋷∃⊬7F6)⩚⊴⇥(∃⊬4C1↺∃⊬659)≭(⨵≀≌∃⊬DF1)⇷∃⊬2281⪮%⊝∃⊬D30)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":150837,"operation_count":8,"complexity_ratio":18854.625,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1096,"base":16},"right_expr":{"type":"numeric_atoms","value":2038,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1217,"base":16},"right_expr":{"type":"numeric_atoms","value":1625,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3569,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8833,"base":16},"right_expr":{"type":"numeric_atoms","value":3376,"base":16}}}}},"used_operators":["DlLNRPXxWL","rxpJgHHUmx","NTOWxs364D","23Mk6UjR3U","7j4O788W3g","mp7IySMOzn","srAu1WTS94","IWmyXbctLI"],"dependent_operators":["rGHVDoGpnC","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1096","layer":4},{"info":"number node, value=2038","layer":4},{"info":"compute binary expreesion, left_input=1096, right_input=2038, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2980","layer":3},{"info":"number node, value=1217","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=1217, right_input=1625, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1625","layer":3},{"info":"compute binary expreesion, left_input=2980, right_input=1625, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4726","layer":2},{"info":"number node, value=3569","layer":4},{"info":"compute unary expreesion, input=3569, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-10707","layer":3},{"info":"number node, value=8833","layer":4},{"info":"number node, value=3376","layer":4},{"info":"compute binary expreesion, left_input=8833, right_input=3376, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=17982","layer":3},{"info":"compute binary expreesion, left_input=-10707, right_input=17982, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=35964","layer":2},{"info":"compute binary expreesion, left_input=-4726, right_input=35964, 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 = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⫛⫱⨽((∃⊬448⋷∃⊬7F6)⩚⊴⇥(∃⊬4C1↺∃⊬659)≭(⨵≀≌∃⊬DF1)⇷∃⊬2281⪮%⊝∃⊬D30)=NaN","reverse_text":"NaN=⫛⫱⨽((∃⊬448⋷∃⊬7F6)⩚⊴⇥(∃⊬4C1↺∃⊬659)≭(⨵≀≌∃⊬DF1)⇷∃⊬2281⪮%⊝∃⊬D30)","cot":[{"info":"∃⊬448⋷∃⊬7F6=∃⊬BA4","layer":3},{"info":"∃⊬4C1↺∃⊬659=∃⊬659","layer":3},{"info":"∃⊬BA4⩚⊴⇥∃⊬659=∃⊬-1276","layer":2},{"info":"⨵≀≌∃⊬DF1=∃⊬-29D3","layer":3},{"info":"∃⊬2281⪮%⊝∃⊬D30=∃⊬463E","layer":3},{"info":"∃⊬-29D3⇷∃⊬463E=∃⊬8C7C","layer":2},{"info":"∃⊬-1276≭∃⊬8C7C=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":912,"expression_no_base_symbol":"((↥$1952$)⋳⪒$1120$⨟⋌⩍$5811$⊠≄⫣)⪒(≤/(≦∁$1970$≧⫂∧$3372$))","expression":"((↥∃⊬7A0)⋳⪒∃⊬460⨟⋌⩍∃⊬16B3⊠≄⫣)⪒(≤/(≦∁∃⊬7B2≧⫂∧∃⊬D2C))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":55,"operation_count":8,"complexity_ratio":6.875,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":1952,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1120,"base":16},"right_expr":{"type":"numeric_atoms","value":5811,"base":16}}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1970,"base":16},"right_expr":{"type":"numeric_atoms","value":3372,"base":16}}}}},"used_operators":["f6k1SAg4EE","DIvbN7qnHd","12rbrZMWeM","A8NUZmVepG","rGHVDoGpnC","eLAdDNolq6","9ICcGScMcE","Ph9nP6C5qx"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","Tcnh7f0tEr","rysDP5nf3Z","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=1952","layer":4},{"info":"compute unary expreesion, input=1952, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=14","layer":3},{"info":"number node, value=1120","layer":4},{"info":"number node, value=5811","layer":4},{"info":"compute binary expreesion, left_input=1120, right_input=5811, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=14, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"number node, value=1970","layer":4},{"info":"number node, value=3372","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=3372, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2899","layer":3},{"info":"compute unary expreesion, input=2899, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=2899","layer":2},{"info":"compute unary expreesion, input=2899, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2415","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-2415, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↥∃⊬7A0)⋳⪒∃⊬460⨟⋌⩍∃⊬16B3⊠≄⫣)⪒(≤/(≦∁∃⊬7B2≧⫂∧∃⊬D2C))=NaN","reverse_text":"NaN=((↥∃⊬7A0)⋳⪒∃⊬460⨟⋌⩍∃⊬16B3⊠≄⫣)⪒(≤/(≦∁∃⊬7B2≧⫂∧∃⊬D2C))","cot":[{"info":"↥∃⊬7A0=∃⊬E","layer":3},{"info":"∃⊬460⨟⋌⩍∃⊬16B3=NaN","layer":3},{"info":"∃⊬E⋳⪒NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"∃⊬7B2≧⫂∧∃⊬D2C=∃⊬B53","layer":3},{"info":"≦∁∃⊬B53=∃⊬B53","layer":2},{"info":"≤/∃⊬B53=∃⊬-96F","layer":1},{"info":"NaN⪒∃⊬-96F=NaN","layer":0}]}
{"id":913,"expression_no_base_symbol":"⊙↵-(($1758$∀⇚≩$2199$⫌⩹⨱)⫸⊐$4117$⨎$2827$⨽(≤/$2039$))","expression":"⊙↵-((∃⊬6DE∀⇚≩∃⊬897⫌⩹⨱)⫸⊐∃⊬1015⨎∃⊬B0B⨽(≤/∃⊬7F7))","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":15182,"operation_count":7,"complexity_ratio":2168.8571428571427,"tree":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1758,"base":16},"right_expr":{"type":"numeric_atoms","value":2199,"base":16}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4117,"base":16},"right_expr":{"type":"numeric_atoms","value":2827,"base":16}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2039,"base":16}}}}},"used_operators":["oWn0xqSxBt","mqXw5SEYmG","EBcxylXtPf","LRNGc0VcxI","8HhzD0ZcuI","rJVOvQCfKK","eLAdDNolq6"],"dependent_operators":["dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","rysDP5nf3Z","X99M06cbEe","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1758","layer":4},{"info":"number node, value=2199","layer":4},{"info":"compute binary expreesion, left_input=1758, 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":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=4117","layer":4},{"info":"number node, value=2827","layer":4},{"info":"compute binary expreesion, left_input=4117, right_input=2827, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=2827","layer":3},{"info":"number node, value=2039","layer":4},{"info":"compute unary expreesion, input=2039, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-1555","layer":3},{"info":"compute binary expreesion, left_input=2827, right_input=-1555, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23969808","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-23969808, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⊙↵-((∃⊬6DE∀⇚≩∃⊬897⫌⩹⨱)⫸⊐∃⊬1015⨎∃⊬B0B⨽(≤/∃⊬7F7))=NaN","reverse_text":"NaN=⊙↵-((∃⊬6DE∀⇚≩∃⊬897⫌⩹⨱)⫸⊐∃⊬1015⨎∃⊬B0B⨽(≤/∃⊬7F7))","cot":[{"info":"∃⊬6DE∀⇚≩∃⊬897=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"∃⊬1015⨎∃⊬B0B=∃⊬B0B","layer":3},{"info":"≤/∃⊬7F7=∃⊬-613","layer":3},{"info":"∃⊬B0B⨽∃⊬-613=∃⊬-16DC010","layer":2},{"info":"NaN⫸⊐∃⊬-16DC010=NaN","layer":1},{"info":"⊙↵-NaN=NaN","layer":0}]}
{"id":914,"expression_no_base_symbol":"≉(($1339$⋷$2127$)⪮%⊝($7096$∑⇟⊟$1993$)-(⪲⇎($2243$⫡⨏$4994$)))","expression":"≉((∃⊬53B⋷∃⊬84F)⪮%⊝(∃⊬1BB8∑⇟⊟∃⊬7C9)-(⪲⇎(∃⊬8C3⫡⨏∃⊬1382)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":24,"operation_count":7,"complexity_ratio":3.4285714285714284,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":1339,"base":16},"right_expr":{"type":"numeric_atoms","value":2127,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":7096,"base":16},"right_expr":{"type":"numeric_atoms","value":1993,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2243,"base":16},"right_expr":{"type":"numeric_atoms","value":4994,"base":16}}}}},"used_operators":["e1ybzncUwg","rysDP5nf3Z","IWmyXbctLI","23Mk6UjR3U","U7g4x0WXJJ","XPYlsWDdGa","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1339","layer":4},{"info":"number node, value=2127","layer":4},{"info":"compute binary expreesion, left_input=1339, right_input=2127, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=2915","layer":3},{"info":"number node, value=7096","layer":4},{"info":"number node, value=1993","layer":4},{"info":"compute binary expreesion, left_input=7096, right_input=1993, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2915, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"number node, value=2243","layer":4},{"info":"number node, value=4994","layer":4},{"info":"compute binary expreesion, left_input=2243, right_input=4994, 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=21986","layer":3},{"info":"compute unary expreesion, input=21986, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=43972","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=43972, op_id = rysDP5nf3Z binary_op_definition= 'None', 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":"≉((∃⊬53B⋷∃⊬84F)⪮%⊝(∃⊬1BB8∑⇟⊟∃⊬7C9)-(⪲⇎(∃⊬8C3⫡⨏∃⊬1382)))=NaN","reverse_text":"NaN=≉((∃⊬53B⋷∃⊬84F)⪮%⊝(∃⊬1BB8∑⇟⊟∃⊬7C9)-(⪲⇎(∃⊬8C3⫡⨏∃⊬1382)))","cot":[{"info":"∃⊬53B⋷∃⊬84F=∃⊬B63","layer":3},{"info":"∃⊬1BB8∑⇟⊟∃⊬7C9=NaN","layer":3},{"info":"∃⊬B63⪮%⊝NaN=NaN","layer":2},{"info":"∃⊬8C3⫡⨏∃⊬1382=∃⊬55E2","layer":3},{"info":"⪲⇎∃⊬55E2=∃⊬ABC4","layer":2},{"info":"NaN-∃⊬ABC4=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":915,"expression_no_base_symbol":"(((⨵≀≌$3916$)⋷$6032$⨎$1187$)%(⪝⪂⫅$1054$)⋳⪒$4809$∑⇟⊟$8312$)⋳⪒((∥⊫($2485$-$1173$))⪄(↣≠⋷$1687$)⪘⫢($1130$*$4103$))","expression":"(((⨵≀≌∃⊬F4C)⋷∃⊬1790⨎∃⊬4A3)%(⪝⪂⫅∃⊬41E)⋳⪒∃⊬12C9∑⇟⊟∃⊬2078)⋳⪒((∥⊫(∃⊬9B5-∃⊬495))⪄(↣≠⋷∃⊬697)⪘⫢(∃⊬46A*∃⊬1007))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1413,"operation_count":14,"complexity_ratio":100.92857142857143,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3916,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6032,"base":16},"right_expr":{"type":"numeric_atoms","value":1187,"base":16}}},"right_expr":{"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":4809,"base":16},"right_expr":{"type":"numeric_atoms","value":8312,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2485,"base":16},"right_expr":{"type":"numeric_atoms","value":1173,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1687,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1130,"base":16},"right_expr":{"type":"numeric_atoms","value":4103,"base":16}}}}},"used_operators":["12rbrZMWeM","k8jYdgA6NY","23Mk6UjR3U","srAu1WTS94","rJVOvQCfKK","XTarYq4gQB","U7g4x0WXJJ","SUmda5xLS4","P8v4zCKN1o","rysDP5nf3Z","oacrs7FA3X","Asc51vEJeQ","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9HNa5Wba9A","8w2t5hMYqp","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3916","layer":4},{"info":"compute unary expreesion, input=3916, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11748","layer":3},{"info":"number node, value=6032","layer":4},{"info":"number node, value=1187","layer":4},{"info":"compute binary expreesion, left_input=6032, right_input=1187, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1187","layer":3},{"info":"compute binary expreesion, left_input=-11748, right_input=1187, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=23496","layer":2},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-154938","layer":3},{"info":"number node, value=4809","layer":4},{"info":"number node, value=8312","layer":4},{"info":"compute binary expreesion, left_input=4809, right_input=8312, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-154938, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=23496, right_input=nan, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=2485","layer":4},{"info":"number node, value=1173","layer":4},{"info":"compute binary expreesion, left_input=2485, right_input=1173, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1312","layer":3},{"info":"compute unary expreesion, input=1312, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2180","layer":2},{"info":"number node, value=1687","layer":4},{"info":"compute unary expreesion, input=1687, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=1130","layer":4},{"info":"number node, value=4103","layer":4},{"info":"compute binary expreesion, left_input=1130, right_input=4103, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=4636390","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=4636390, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2180, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, 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":"(((⨵≀≌∃⊬F4C)⋷∃⊬1790⨎∃⊬4A3)%(⪝⪂⫅∃⊬41E)⋳⪒∃⊬12C9∑⇟⊟∃⊬2078)⋳⪒((∥⊫(∃⊬9B5-∃⊬495))⪄(↣≠⋷∃⊬697)⪘⫢(∃⊬46A*∃⊬1007))=NaN","reverse_text":"NaN=(((⨵≀≌∃⊬F4C)⋷∃⊬1790⨎∃⊬4A3)%(⪝⪂⫅∃⊬41E)⋳⪒∃⊬12C9∑⇟⊟∃⊬2078)⋳⪒((∥⊫(∃⊬9B5-∃⊬495))⪄(↣≠⋷∃⊬697)⪘⫢(∃⊬46A*∃⊬1007))","cot":[{"info":"⨵≀≌∃⊬F4C=∃⊬-2DE4","layer":3},{"info":"∃⊬1790⨎∃⊬4A3=∃⊬4A3","layer":3},{"info":"∃⊬-2DE4⋷∃⊬4A3=∃⊬5BC8","layer":2},{"info":"⪝⪂⫅∃⊬41E=∃⊬-25D3A","layer":3},{"info":"∃⊬12C9∑⇟⊟∃⊬2078=NaN","layer":3},{"info":"∃⊬-25D3A⋳⪒NaN=NaN","layer":2},{"info":"∃⊬5BC8%NaN=NaN","layer":1},{"info":"∃⊬9B5-∃⊬495=∃⊬520","layer":3},{"info":"∥⊫∃⊬520=∃⊬884","layer":2},{"info":"↣≠⋷∃⊬697=NaN","layer":3},{"info":"∃⊬46A*∃⊬1007=∃⊬46BEE6","layer":3},{"info":"NaN⪘⫢∃⊬46BEE6=NaN","layer":2},{"info":"∃⊬884⪄NaN=NaN","layer":1},{"info":"NaN⋳⪒NaN=NaN","layer":0}]}
{"id":916,"expression_no_base_symbol":"(⇁⨣⪵(≤/$4526$⨎$1366$))⨰(($1497$⫸⊐$3008$⫡⨏$4180$⪒$1279$)⩚⊴⇥(⇁⨣⪵$1999$)⊴($4328$⪛$2152$))","expression":"(⇁⨣⪵(≤/∃⊬11AE⨎∃⊬556))⨰((∃⊬5D9⫸⊐∃⊬BC0⫡⨏∃⊬1054⪒∃⊬4FF)⩚⊴⇥(⇁⨣⪵∃⊬7CF)⊴(∃⊬10E8⪛∃⊬868))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":82,"operation_count":11,"complexity_ratio":7.454545454545454,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":4526,"base":16},"right_expr":{"type":"numeric_atoms","value":1366,"base":16}}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1497,"base":16},"right_expr":{"type":"numeric_atoms","value":3008,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":4180,"base":16},"right_expr":{"type":"numeric_atoms","value":1279,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1999,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":4328,"base":16},"right_expr":{"type":"numeric_atoms","value":2152,"base":16}}}}},"used_operators":["eewbuw0ToL","inkyxCbjAn","eLAdDNolq6","rJVOvQCfKK","NTOWxs364D","QMFrweE19q","mqXw5SEYmG","f6k1SAg4EE","Nsiff2A1zJ","uFcxV4UQCh"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4526","layer":4},{"info":"number node, value=1366","layer":4},{"info":"compute binary expreesion, left_input=4526, right_input=1366, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1366","layer":3},{"info":"compute unary expreesion, input=1366, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-882","layer":2},{"info":"compute unary expreesion, input=-882, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1497","layer":4},{"info":"number node, value=3008","layer":4},{"info":"compute binary expreesion, left_input=1497, right_input=3008, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=11907","layer":3},{"info":"number node, value=4180","layer":4},{"info":"number node, value=1279","layer":4},{"info":"compute binary expreesion, left_input=4180, right_input=1279, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5459","layer":3},{"info":"compute binary expreesion, left_input=11907, right_input=-5459, 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=49400","layer":2},{"info":"number node, value=1999","layer":4},{"info":"compute unary expreesion, input=1999, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=4328","layer":4},{"info":"number node, value=2152","layer":4},{"info":"compute binary expreesion, left_input=4328, right_input=2152, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=24","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=24, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=49400, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+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":"(⇁⨣⪵(≤/∃⊬11AE⨎∃⊬556))⨰((∃⊬5D9⫸⊐∃⊬BC0⫡⨏∃⊬1054⪒∃⊬4FF)⩚⊴⇥(⇁⨣⪵∃⊬7CF)⊴(∃⊬10E8⪛∃⊬868))=NaN","reverse_text":"NaN=(⇁⨣⪵(≤/∃⊬11AE⨎∃⊬556))⨰((∃⊬5D9⫸⊐∃⊬BC0⫡⨏∃⊬1054⪒∃⊬4FF)⩚⊴⇥(⇁⨣⪵∃⊬7CF)⊴(∃⊬10E8⪛∃⊬868))","cot":[{"info":"∃⊬11AE⨎∃⊬556=∃⊬556","layer":3},{"info":"≤/∃⊬556=∃⊬-372","layer":2},{"info":"⇁⨣⪵∃⊬-372=NaN","layer":1},{"info":"∃⊬5D9⫸⊐∃⊬BC0=∃⊬2E83","layer":3},{"info":"∃⊬1054⪒∃⊬4FF=∃⊬-1553","layer":3},{"info":"∃⊬2E83⫡⨏∃⊬-1553=∃⊬C0F8","layer":2},{"info":"⇁⨣⪵∃⊬7CF=NaN","layer":3},{"info":"∃⊬10E8⪛∃⊬868=∃⊬18","layer":3},{"info":"NaN⊴∃⊬18=NaN","layer":2},{"info":"∃⊬C0F8⩚⊴⇥NaN=NaN","layer":1},{"info":"NaN⨰NaN=NaN","layer":0}]}
{"id":917,"expression_no_base_symbol":"((⫓⪴$3760$∼$1693$)∑⇟⊟($4290$⊭↱$2592$⇼⇔∾(-$3230$)))⊴(($1644$%$2240$)+⇶⊼($7398$⨸⪁$4479$)⨎($1981$≭$4267$+$6102$⩷∴$1978$))","expression":"((⫓⪴∃⊬EB0∼∃⊬69D)∑⇟⊟(∃⊬10C2⊭↱∃⊬A20⇼⇔∾(-∃⊬C9E)))⊴((∃⊬66C%∃⊬8C0)+⇶⊼(∃⊬1CE6⨸⪁∃⊬117F)⨎(∃⊬7BD≭∃⊬10AB+∃⊬17D6⩷∴∃⊬7BA))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":26027,"operation_count":14,"complexity_ratio":1859.0714285714287,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3760,"base":16},"right_expr":{"type":"numeric_atoms","value":1693,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":4290,"base":16},"right_expr":{"type":"numeric_atoms","value":2592,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":3230,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1644,"base":16},"right_expr":{"type":"numeric_atoms","value":2240,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":7398,"base":16},"right_expr":{"type":"numeric_atoms","value":4479,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":1981,"base":16},"right_expr":{"type":"numeric_atoms","value":4267,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":6102,"base":16},"right_expr":{"type":"numeric_atoms","value":1978,"base":16}}}}},"used_operators":["Nsiff2A1zJ","U7g4x0WXJJ","eLxqMNBOBk","DyGG3AbaNP","tifHPKVTfV","COABgblf1C","t8gj7n24qd","rJVOvQCfKK","TpPTUOHfaN","k8jYdgA6NY","g55IO6H4Gj","W4YGzv6Whe","rxpJgHHUmx","9FxExcQeMw"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","9HNa5Wba9A","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","AHs5Up7iyr","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3760","layer":4},{"info":"number node, value=1693","layer":4},{"info":"compute binary expreesion, left_input=3760, right_input=1693, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=nan","layer":2},{"info":"number node, value=4290","layer":4},{"info":"number node, value=2592","layer":4},{"info":"compute binary expreesion, left_input=4290, right_input=2592, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-3391","layer":3},{"info":"number node, value=3230","layer":4},{"info":"compute unary expreesion, input=3230, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-3230","layer":3},{"info":"compute binary expreesion, left_input=-3391, right_input=-3230, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=161","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=161, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=1644","layer":4},{"info":"number node, value=2240","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=2240, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1644","layer":3},{"info":"number node, value=7398","layer":4},{"info":"number node, value=4479","layer":4},{"info":"compute binary expreesion, left_input=7398, right_input=4479, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=23754","layer":3},{"info":"compute binary expreesion, left_input=1644, right_input=23754, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1981","layer":4},{"info":"number node, value=4267","layer":4},{"info":"compute binary expreesion, left_input=1981, right_input=4267, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=6102","layer":4},{"info":"number node, value=1978","layer":4},{"info":"compute binary expreesion, left_input=6102, right_input=1978, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=8216","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8216, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⫓⪴∃⊬EB0∼∃⊬69D)∑⇟⊟(∃⊬10C2⊭↱∃⊬A20⇼⇔∾(-∃⊬C9E)))⊴((∃⊬66C%∃⊬8C0)+⇶⊼(∃⊬1CE6⨸⪁∃⊬117F)⨎(∃⊬7BD≭∃⊬10AB+∃⊬17D6⩷∴∃⊬7BA))=NaN","reverse_text":"NaN=((⫓⪴∃⊬EB0∼∃⊬69D)∑⇟⊟(∃⊬10C2⊭↱∃⊬A20⇼⇔∾(-∃⊬C9E)))⊴((∃⊬66C%∃⊬8C0)+⇶⊼(∃⊬1CE6⨸⪁∃⊬117F)⨎(∃⊬7BD≭∃⊬10AB+∃⊬17D6⩷∴∃⊬7BA))","cot":[{"info":"∃⊬EB0∼∃⊬69D=NaN","layer":3},{"info":"⫓⪴NaN=NaN","layer":2},{"info":"∃⊬10C2⊭↱∃⊬A20=∃⊬-D3F","layer":3},{"info":"-∃⊬C9E=∃⊬-C9E","layer":3},{"info":"∃⊬-D3F⇼⇔∾∃⊬-C9E=∃⊬A1","layer":2},{"info":"NaN∑⇟⊟∃⊬A1=NaN","layer":1},{"info":"∃⊬66C%∃⊬8C0=∃⊬66C","layer":3},{"info":"∃⊬1CE6⨸⪁∃⊬117F=∃⊬5CCA","layer":3},{"info":"∃⊬66C+⇶⊼∃⊬5CCA=NaN","layer":2},{"info":"∃⊬7BD≭∃⊬10AB=NaN","layer":3},{"info":"∃⊬17D6⩷∴∃⊬7BA=∃⊬2018","layer":3},{"info":"NaN+∃⊬2018=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":918,"expression_no_base_symbol":"((⋗⩬⋾($5051$⪨≂$3149$))≫≃)⇷(($2586$/$1889$)⊉≛↸($4952$⊉≛↸$4481$)∲⫓(⨑⩽⪐$6977$)⇷$3676$⪮%⊝$5702$)","expression":"((⋗⩬⋾(∃⊬13BB⪨≂∃⊬C4D))≫≃)⇷((∃⊬A1A/∃⊬761)⊉≛↸(∃⊬1358⊉≛↸∃⊬1181)∲⫓(⨑⩽⪐∃⊬1B41)⇷∃⊬E5C⪮%⊝∃⊬1646)","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":402393,"operation_count":11,"complexity_ratio":36581.181818181816,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":5051,"base":16},"right_expr":{"type":"numeric_atoms","value":3149,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":2586,"base":16},"right_expr":{"type":"numeric_atoms","value":1889,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4952,"base":16},"right_expr":{"type":"numeric_atoms","value":4481,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":6977,"base":16}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":3676,"base":16},"right_expr":{"type":"numeric_atoms","value":5702,"base":16}}}}},"used_operators":["mp7IySMOzn","X99M06cbEe","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","DZ8iAZOCBD","XhwjNDsVaA","AF7qkfDlqP","IWmyXbctLI"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5051","layer":4},{"info":"number node, value=3149","layer":4},{"info":"compute binary expreesion, left_input=5051, right_input=3149, 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=3906","layer":3},{"info":"compute unary expreesion, input=3906, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11718","layer":2},{"info":"compute unary expreesion, input=-11718, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=-22035","layer":1},{"info":"number node, value=2586","layer":4},{"info":"number node, value=1889","layer":4},{"info":"compute binary expreesion, left_input=2586, right_input=1889, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"number node, value=4952","layer":4},{"info":"number node, value=4481","layer":4},{"info":"compute binary expreesion, left_input=4952, right_input=4481, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9904","layer":3},{"info":"compute binary expreesion, left_input=1, right_input=9904, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=2","layer":2},{"info":"number node, value=6977","layer":4},{"info":"compute unary expreesion, input=6977, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-6704","layer":3},{"info":"number node, value=3676","layer":4},{"info":"number node, value=5702","layer":4},{"info":"compute binary expreesion, left_input=3676, right_input=5702, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=7668","layer":3},{"info":"compute binary expreesion, left_input=-6704, right_input=7668, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=15336","layer":2},{"info":"compute binary expreesion, left_input=2, right_input=15336, 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=-22035, 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":"((⋗⩬⋾(∃⊬13BB⪨≂∃⊬C4D))≫≃)⇷((∃⊬A1A/∃⊬761)⊉≛↸(∃⊬1358⊉≛↸∃⊬1181)∲⫓(⨑⩽⪐∃⊬1B41)⇷∃⊬E5C⪮%⊝∃⊬1646)=∃⊬0","reverse_text":"∃⊬0=((⋗⩬⋾(∃⊬13BB⪨≂∃⊬C4D))≫≃)⇷((∃⊬A1A/∃⊬761)⊉≛↸(∃⊬1358⊉≛↸∃⊬1181)∲⫓(⨑⩽⪐∃⊬1B41)⇷∃⊬E5C⪮%⊝∃⊬1646)","cot":[{"info":"∃⊬13BB⪨≂∃⊬C4D=∃⊬F42","layer":3},{"info":"⋗⩬⋾∃⊬F42=∃⊬-2DC6","layer":2},{"info":"∃⊬-2DC6≫≃=∃⊬-5613","layer":1},{"info":"∃⊬A1A/∃⊬761=∃⊬1","layer":3},{"info":"∃⊬1358⊉≛↸∃⊬1181=∃⊬26B0","layer":3},{"info":"∃⊬1⊉≛↸∃⊬26B0=∃⊬2","layer":2},{"info":"⨑⩽⪐∃⊬1B41=∃⊬-1A30","layer":3},{"info":"∃⊬E5C⪮%⊝∃⊬1646=∃⊬1DF4","layer":3},{"info":"∃⊬-1A30⇷∃⊬1DF4=∃⊬3BE8","layer":2},{"info":"∃⊬2∲⫓∃⊬3BE8=∃⊬0","layer":1},{"info":"∃⊬-5613⇷∃⊬0=∃⊬0","layer":0}]}
{"id":919,"expression_no_base_symbol":"+⊝⨔((($2022$⪨≂$7813$)⊭↱$1335$⨟⋌⩍$4791$)≎⊠⪸((⇁⨣⪵$1664$)∲⫓(⫓⪴$1181$)))","expression":"+⊝⨔(((∃⊬7E6⪨≂∃⊬1E85)⊭↱∃⊬537⨟⋌⩍∃⊬12B7)≎⊠⪸((⇁⨣⪵∃⊬680)∲⫓(⫓⪴∃⊬49D)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":1228,"operation_count":8,"complexity_ratio":153.5,"tree":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":2022,"base":16},"right_expr":{"type":"numeric_atoms","value":7813,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":1335,"base":16},"right_expr":{"type":"numeric_atoms","value":4791,"base":16}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1664,"base":16}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":1181,"base":16}}}}},"used_operators":["DhbWaqg5eL","bJkvcejdHO","COABgblf1C","sdazOOVcIp","rGHVDoGpnC","i8ToyICDmI","inkyxCbjAn","eLxqMNBOBk"],"dependent_operators":["dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","9HNa5Wba9A"],"result":"∃⊬5F2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2022","layer":4},{"info":"number node, value=7813","layer":4},{"info":"compute binary expreesion, left_input=2022, right_input=7813, 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=-11480","layer":3},{"info":"number node, value=1335","layer":4},{"info":"number node, value=4791","layer":4},{"info":"compute binary expreesion, left_input=1335, right_input=4791, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11480, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=1664","layer":4},{"info":"compute unary expreesion, input=1664, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"number node, value=1181","layer":4},{"info":"compute unary expreesion, input=1181, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=1394761","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=1394761, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 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":"+⊝⨔(((∃⊬7E6⪨≂∃⊬1E85)⊭↱∃⊬537⨟⋌⩍∃⊬12B7)≎⊠⪸((⇁⨣⪵∃⊬680)∲⫓(⫓⪴∃⊬49D)))=∃⊬5F2","reverse_text":"∃⊬5F2=+⊝⨔(((∃⊬7E6⪨≂∃⊬1E85)⊭↱∃⊬537⨟⋌⩍∃⊬12B7)≎⊠⪸((⇁⨣⪵∃⊬680)∲⫓(⫓⪴∃⊬49D)))","cot":[{"info":"∃⊬7E6⪨≂∃⊬1E85=∃⊬-2CD8","layer":3},{"info":"∃⊬537⨟⋌⩍∃⊬12B7=NaN","layer":3},{"info":"∃⊬-2CD8⊭↱NaN=NaN","layer":2},{"info":"⇁⨣⪵∃⊬680=NaN","layer":3},{"info":"⫓⪴∃⊬49D=∃⊬154849","layer":3},{"info":"NaN∲⫓∃⊬154849=∃⊬0","layer":2},{"info":"NaN≎⊠⪸∃⊬0=NaN","layer":1},{"info":"+⊝⨔NaN=∃⊬5F2","layer":0}]}
{"id":920,"expression_no_base_symbol":"(((∥⊫$1739$)+(⊥$1637$))⨳⩥⨓(↯⪼($1363$⨎$4879$)))≹⇙⪍(∂(($1840$⇼⇔∾$1336$)⪐))","expression":"(((∥⊫∃⊬6CB)+(⊥∃⊬665))⨳⩥⨓(↯⪼(∃⊬553⨎∃⊬130F)))≹⇙⪍(∂((∃⊬730⇼⇔∾∃⊬538)⪐))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":553998,"operation_count":10,"complexity_ratio":55399.8,"tree":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":1739,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":1637,"base":16}}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1363,"base":16},"right_expr":{"type":"numeric_atoms","value":4879,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":1840,"base":16},"right_expr":{"type":"numeric_atoms","value":1336,"base":16}}}}},"used_operators":["AHs5Up7iyr","nCS4ZIUYfx","W4YGzv6Whe","P8v4zCKN1o","Q3PJZHRvZv","8jW3W4yZS5","rJVOvQCfKK","Uaa54Peajs","eH2TOUuTDT","tifHPKVTfV"],"dependent_operators":["dWAJyo7jo9","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1739","layer":4},{"info":"compute unary expreesion, input=1739, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=2607","layer":3},{"info":"number node, value=1637","layer":4},{"info":"compute unary expreesion, input=1637, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2607, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=1363","layer":4},{"info":"number node, value=4879","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=4879, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=4879","layer":3},{"info":"compute unary expreesion, input=4879, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=1840","layer":4},{"info":"number node, value=1336","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=1336, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=-504","layer":3},{"info":"compute unary expreesion, input=-504, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=-1008","layer":2},{"info":"compute unary expreesion, input=-1008, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=744","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=744, 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":"(((∥⊫∃⊬6CB)+(⊥∃⊬665))⨳⩥⨓(↯⪼(∃⊬553⨎∃⊬130F)))≹⇙⪍(∂((∃⊬730⇼⇔∾∃⊬538)⪐))=NaN","reverse_text":"NaN=(((∥⊫∃⊬6CB)+(⊥∃⊬665))⨳⩥⨓(↯⪼(∃⊬553⨎∃⊬130F)))≹⇙⪍(∂((∃⊬730⇼⇔∾∃⊬538)⪐))","cot":[{"info":"∥⊫∃⊬6CB=∃⊬A2F","layer":3},{"info":"⊥∃⊬665=NaN","layer":3},{"info":"∃⊬A2F+NaN=NaN","layer":2},{"info":"∃⊬553⨎∃⊬130F=∃⊬130F","layer":3},{"info":"↯⪼∃⊬130F=∃⊬-15","layer":2},{"info":"NaN⨳⩥⨓∃⊬-15=NaN","layer":1},{"info":"∃⊬730⇼⇔∾∃⊬538=∃⊬-1F8","layer":3},{"info":"∃⊬-1F8⪐=∃⊬-3F0","layer":2},{"info":"∂∃⊬-3F0=∃⊬2E8","layer":1},{"info":"NaN≹⇙⪍∃⊬2E8=NaN","layer":0}]}
{"id":921,"expression_no_base_symbol":"(($2438$⋷$4323$)∼($2070$⊉≛↸$6747$)⨸⪁$6303$⨓$1168$↙($8690$%$3141$))≎⊠⪸(($4380$≣⋋)⊭↱$3312$↬$1679$)⪘⫢($4308$∑⇟⊟$4430$⩷∴($1276$∧))","expression":"((∃⊬986⋷∃⊬10E3)∼(∃⊬816⊉≛↸∃⊬1A5B)⨸⪁∃⊬189F⨓∃⊬490↙(∃⊬21F2%∃⊬C45))≎⊠⪸((∃⊬111C≣⋋)⊭↱∃⊬CF0↬∃⊬68F)⪘⫢(∃⊬10D4∑⇟⊟∃⊬114E⩷∴(∃⊬4FC∧))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":1862,"operation_count":15,"complexity_ratio":124.13333333333334,"tree":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":2438,"base":16},"right_expr":{"type":"numeric_atoms","value":4323,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2070,"base":16},"right_expr":{"type":"numeric_atoms","value":6747,"base":16}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":6303,"base":16},"right_expr":{"type":"numeric_atoms","value":1168,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":8690,"base":16},"right_expr":{"type":"numeric_atoms","value":3141,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4380,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3312,"base":16},"right_expr":{"type":"numeric_atoms","value":1679,"base":16}}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4308,"base":16},"right_expr":{"type":"numeric_atoms","value":4430,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":1276,"base":16}}}}},"used_operators":["bJkvcejdHO","g55IO6H4Gj","DyGG3AbaNP","23Mk6UjR3U","DZ8iAZOCBD","yyfyN0ffXY","3ViojmjbAp","k8jYdgA6NY","oacrs7FA3X","COABgblf1C","Tcnh7f0tEr","B5M0gjZbta","9FxExcQeMw","U7g4x0WXJJ","z63VuFQld9"],"dependent_operators":["DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2438","layer":4},{"info":"number node, value=4323","layer":4},{"info":"compute binary expreesion, left_input=2438, right_input=4323, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6208","layer":3},{"info":"number node, value=2070","layer":4},{"info":"number node, value=6747","layer":4},{"info":"compute binary expreesion, left_input=2070, right_input=6747, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4140","layer":3},{"info":"compute binary expreesion, left_input=6208, right_input=4140, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=6303","layer":4},{"info":"number node, value=1168","layer":4},{"info":"compute binary expreesion, left_input=6303, right_input=1168, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1171","layer":3},{"info":"number node, value=8690","layer":4},{"info":"number node, value=3141","layer":4},{"info":"compute binary expreesion, left_input=8690, right_input=3141, op_id = k8jYdgA6NY binary_op_definition= 'None', output=2408","layer":3},{"info":"compute binary expreesion, left_input=-1171, right_input=2408, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1171","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-1171, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=nan","layer":1},{"info":"number node, value=4380","layer":4},{"info":"compute unary expreesion, input=4380, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=3312","layer":4},{"info":"number node, value=1679","layer":4},{"info":"compute binary expreesion, left_input=3312, right_input=1679, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"number node, value=4308","layer":4},{"info":"number node, value=4430","layer":4},{"info":"compute binary expreesion, left_input=4308, right_input=4430, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=1276","layer":4},{"info":"compute unary expreesion, input=1276, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":0}],"base":16,"result_base":16,"text":"((∃⊬986⋷∃⊬10E3)∼(∃⊬816⊉≛↸∃⊬1A5B)⨸⪁∃⊬189F⨓∃⊬490↙(∃⊬21F2%∃⊬C45))≎⊠⪸((∃⊬111C≣⋋)⊭↱∃⊬CF0↬∃⊬68F)⪘⫢(∃⊬10D4∑⇟⊟∃⊬114E⩷∴(∃⊬4FC∧))=∃⊬43","reverse_text":"∃⊬43=((∃⊬986⋷∃⊬10E3)∼(∃⊬816⊉≛↸∃⊬1A5B)⨸⪁∃⊬189F⨓∃⊬490↙(∃⊬21F2%∃⊬C45))≎⊠⪸((∃⊬111C≣⋋)⊭↱∃⊬CF0↬∃⊬68F)⪘⫢(∃⊬10D4∑⇟⊟∃⊬114E⩷∴(∃⊬4FC∧))","cot":[{"info":"∃⊬986⋷∃⊬10E3=∃⊬1840","layer":3},{"info":"∃⊬816⊉≛↸∃⊬1A5B=∃⊬102C","layer":3},{"info":"∃⊬1840∼∃⊬102C=NaN","layer":2},{"info":"∃⊬189F⨓∃⊬490=∃⊬-493","layer":3},{"info":"∃⊬21F2%∃⊬C45=∃⊬968","layer":3},{"info":"∃⊬-493↙∃⊬968=∃⊬-493","layer":2},{"info":"NaN⨸⪁∃⊬-493=NaN","layer":1},{"info":"∃⊬111C≣⋋=∃⊬0","layer":3},{"info":"∃⊬CF0↬∃⊬68F=NaN","layer":3},{"info":"∃⊬0⊭↱NaN=NaN","layer":2},{"info":"∃⊬10D4∑⇟⊟∃⊬114E=NaN","layer":3},{"info":"∃⊬4FC∧=NaN","layer":3},{"info":"NaN⩷∴NaN=NaN","layer":2},{"info":"NaN⪘⫢NaN=NaN","layer":1},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":0}]}
{"id":922,"expression_no_base_symbol":"((+⊝⨔$2024$)⊭↱(↩$2077$))⨳⩥⨓$3895$⩷∴$6821$⨐⩸⫘($2405$⊉≛↸$2417$)↪⪝","expression":"((+⊝⨔∃⊬7E8)⊭↱(↩∃⊬81D))⨳⩥⨓∃⊬F37⩷∴∃⊬1AA5⨐⩸⫘(∃⊬965⊉≛↸∃⊬971)↪⪝","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":79,"operation_count":8,"complexity_ratio":9.875,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":2024,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":2077,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":3895,"base":16},"right_expr":{"type":"numeric_atoms","value":6821,"base":16}},"right_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":2405,"base":16},"right_expr":{"type":"numeric_atoms","value":2417,"base":16}}}}},"used_operators":["l07mrZUIn9","nCS4ZIUYfx","COABgblf1C","DhbWaqg5eL","jLgFTUHLKL","fu6greOZ01","9FxExcQeMw","DZ8iAZOCBD"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","3ViojmjbAp","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2024","layer":4},{"info":"compute unary expreesion, input=2024, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=2077","layer":4},{"info":"compute unary expreesion, input=2077, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-13836","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-13836, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-30711","layer":2},{"info":"number node, value=3895","layer":4},{"info":"number node, value=6821","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=6821, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-5884","layer":3},{"info":"number node, value=2405","layer":4},{"info":"number node, value=2417","layer":4},{"info":"compute binary expreesion, left_input=2405, right_input=2417, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=4810","layer":3},{"info":"compute binary expreesion, left_input=-5884, right_input=4810, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-30711, right_input=nan, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((+⊝⨔∃⊬7E8)⊭↱(↩∃⊬81D))⨳⩥⨓∃⊬F37⩷∴∃⊬1AA5⨐⩸⫘(∃⊬965⊉≛↸∃⊬971)↪⪝=NaN","reverse_text":"NaN=((+⊝⨔∃⊬7E8)⊭↱(↩∃⊬81D))⨳⩥⨓∃⊬F37⩷∴∃⊬1AA5⨐⩸⫘(∃⊬965⊉≛↸∃⊬971)↪⪝","cot":[{"info":"+⊝⨔∃⊬7E8=∃⊬5F2","layer":3},{"info":"↩∃⊬81D=∃⊬-360C","layer":3},{"info":"∃⊬5F2⊭↱∃⊬-360C=∃⊬-77F7","layer":2},{"info":"∃⊬F37⩷∴∃⊬1AA5=∃⊬-16FC","layer":3},{"info":"∃⊬965⊉≛↸∃⊬971=∃⊬12CA","layer":3},{"info":"∃⊬-16FC⨐⩸⫘∃⊬12CA=NaN","layer":2},{"info":"∃⊬-77F7⨳⩥⨓NaN=NaN","layer":1},{"info":"NaN↪⪝=NaN","layer":0}]}
{"id":923,"expression_no_base_symbol":"(($6151$⨐⩸⫘$1383$)⫥∨⫟(⊥$2143$)⋳⪒(⩦⩻⨪$4431$∼$3847$))⋓(((⋗⩬⋾$3974$)↺(⨵≀≌$3945$))⊦⊿)","expression":"((∃⊬1807⨐⩸⫘∃⊬567)⫥∨⫟(⊥∃⊬85F)⋳⪒(⩦⩻⨪∃⊬114F∼∃⊬F07))⋓(((⋗⩬⋾∃⊬F86)↺(⨵≀≌∃⊬F69))⊦⊿)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":281,"operation_count":11,"complexity_ratio":25.545454545454547,"tree":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6151,"base":16},"right_expr":{"type":"numeric_atoms","value":1383,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":2143,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4431,"base":16},"right_expr":{"type":"numeric_atoms","value":3847,"base":16}}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":3974,"base":16}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":3945,"base":16}}}}},"used_operators":["T2fj7uvVaJ","12rbrZMWeM","KYD54nUTWz","fu6greOZ01","Q3PJZHRvZv","2td37pGCOC","DyGG3AbaNP","14qkJME0vr","7j4O788W3g","DpFCA1CohY","srAu1WTS94"],"dependent_operators":["dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","3ViojmjbAp","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6151","layer":4},{"info":"number node, value=1383","layer":4},{"info":"compute binary expreesion, left_input=6151, right_input=1383, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2143","layer":4},{"info":"compute unary expreesion, input=2143, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=4431","layer":4},{"info":"number node, value=3847","layer":4},{"info":"compute binary expreesion, left_input=4431, right_input=3847, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":1},{"info":"number node, value=3974","layer":4},{"info":"compute unary expreesion, input=3974, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-11922","layer":3},{"info":"number node, value=3945","layer":4},{"info":"compute unary expreesion, input=3945, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-11835","layer":3},{"info":"compute binary expreesion, left_input=-11922, right_input=-11835, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-11835","layer":2},{"info":"compute unary expreesion, input=-11835, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=35426","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=35426, 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":"((∃⊬1807⨐⩸⫘∃⊬567)⫥∨⫟(⊥∃⊬85F)⋳⪒(⩦⩻⨪∃⊬114F∼∃⊬F07))⋓(((⋗⩬⋾∃⊬F86)↺(⨵≀≌∃⊬F69))⊦⊿)=∃⊬0","reverse_text":"∃⊬0=((∃⊬1807⨐⩸⫘∃⊬567)⫥∨⫟(⊥∃⊬85F)⋳⪒(⩦⩻⨪∃⊬114F∼∃⊬F07))⋓(((⋗⩬⋾∃⊬F86)↺(⨵≀≌∃⊬F69))⊦⊿)","cot":[{"info":"∃⊬1807⨐⩸⫘∃⊬567=NaN","layer":3},{"info":"⊥∃⊬85F=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"∃⊬114F∼∃⊬F07=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"NaN⋳⪒NaN=NaN","layer":1},{"info":"⋗⩬⋾∃⊬F86=∃⊬-2E92","layer":3},{"info":"⨵≀≌∃⊬F69=∃⊬-2E3B","layer":3},{"info":"∃⊬-2E92↺∃⊬-2E3B=∃⊬-2E3B","layer":2},{"info":"∃⊬-2E3B⊦⊿=∃⊬8A62","layer":1},{"info":"NaN⋓∃⊬8A62=∃⊬0","layer":0}]}
{"id":924,"expression_no_base_symbol":"(⇁⨣⪵$5543$≭$5386$)⪮%⊝($7526$⫡⨏$3173$⋷$1970$↬$2342$)⫌⩹⨱","expression":"(⇁⨣⪵∃⊬15A7≭∃⊬150A)⪮%⊝(∃⊬1D66⫡⨏∃⊬C65⋷∃⊬7B2↬∃⊬926)⫌⩹⨱","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29,"operation_count":7,"complexity_ratio":4.142857142857143,"tree":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5543,"base":16},"right_expr":{"type":"numeric_atoms","value":5386,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":7526,"base":16},"right_expr":{"type":"numeric_atoms","value":3173,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1970,"base":16},"right_expr":{"type":"numeric_atoms","value":2342,"base":16}}}}},"used_operators":["EBcxylXtPf","IWmyXbctLI","inkyxCbjAn","rxpJgHHUmx","23Mk6UjR3U","QMFrweE19q","B5M0gjZbta"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","B5M0gjZbta","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=5543","layer":4},{"info":"number node, value=5386","layer":4},{"info":"compute binary expreesion, left_input=5543, right_input=5386, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=7526","layer":4},{"info":"number node, value=3173","layer":4},{"info":"compute binary expreesion, left_input=7526, right_input=3173, 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=44759","layer":3},{"info":"number node, value=1970","layer":4},{"info":"number node, value=2342","layer":4},{"info":"compute binary expreesion, left_input=1970, right_input=2342, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=44759, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⇁⨣⪵∃⊬15A7≭∃⊬150A)⪮%⊝(∃⊬1D66⫡⨏∃⊬C65⋷∃⊬7B2↬∃⊬926)⫌⩹⨱=NaN","reverse_text":"NaN=(⇁⨣⪵∃⊬15A7≭∃⊬150A)⪮%⊝(∃⊬1D66⫡⨏∃⊬C65⋷∃⊬7B2↬∃⊬926)⫌⩹⨱","cot":[{"info":"∃⊬15A7≭∃⊬150A=NaN","layer":3},{"info":"⇁⨣⪵NaN=NaN","layer":2},{"info":"∃⊬1D66⫡⨏∃⊬C65=∃⊬AED7","layer":3},{"info":"∃⊬7B2↬∃⊬926=NaN","layer":3},{"info":"∃⊬AED7⋷NaN=NaN","layer":2},{"info":"NaN⪮%⊝NaN=NaN","layer":1},{"info":"NaN⫌⩹⨱=NaN","layer":0}]}
{"id":925,"expression_no_base_symbol":"∂($2020$⋓$1777$*($5024$⫡⨏$2917$))⨪↰⇹($3049$≧⫂∧$1387$↛⩡⫤)","expression":"∂(∃⊬7E4⋓∃⊬6F1*(∃⊬13A0⫡⨏∃⊬B65))⨪↰⇹(∃⊬BE9≧⫂∧∃⊬56B↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3316,"operation_count":7,"complexity_ratio":473.7142857142857,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":2020,"base":16},"right_expr":{"type":"numeric_atoms","value":1777,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":5024,"base":16},"right_expr":{"type":"numeric_atoms","value":2917,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":3049,"base":16},"right_expr":{"type":"numeric_atoms","value":1387,"base":16}}}}},"used_operators":["Uaa54Peajs","tmPS8pqC7x","9HNa5Wba9A","T2fj7uvVaJ","QMFrweE19q","FU0Cs4j7VP","Ph9nP6C5qx"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rJVOvQCfKK","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","W4YGzv6Whe","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-108","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2020","layer":4},{"info":"number node, value=1777","layer":4},{"info":"compute binary expreesion, left_input=2020, right_input=1777, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=5024","layer":4},{"info":"number node, value=2917","layer":4},{"info":"compute binary expreesion, left_input=5024, right_input=2917, 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=31737","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=31737, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=0","layer":2},{"info":"number node, value=3049","layer":4},{"info":"number node, value=1387","layer":4},{"info":"compute binary expreesion, left_input=3049, right_input=1387, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=914","layer":3},{"info":"compute unary expreesion, input=914, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-134103","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-134103, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=0","layer":1},{"info":"compute unary expreesion, input=0, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=-264","layer":0}],"base":16,"result_base":16,"text":"∂(∃⊬7E4⋓∃⊬6F1*(∃⊬13A0⫡⨏∃⊬B65))⨪↰⇹(∃⊬BE9≧⫂∧∃⊬56B↛⩡⫤)=∃⊬-108","reverse_text":"∃⊬-108=∂(∃⊬7E4⋓∃⊬6F1*(∃⊬13A0⫡⨏∃⊬B65))⨪↰⇹(∃⊬BE9≧⫂∧∃⊬56B↛⩡⫤)","cot":[{"info":"∃⊬7E4⋓∃⊬6F1=∃⊬0","layer":3},{"info":"∃⊬13A0⫡⨏∃⊬B65=∃⊬7BF9","layer":3},{"info":"∃⊬0*∃⊬7BF9=∃⊬0","layer":2},{"info":"∃⊬BE9≧⫂∧∃⊬56B=∃⊬392","layer":3},{"info":"∃⊬392↛⩡⫤=∃⊬-20BD7","layer":2},{"info":"∃⊬0⨪↰⇹∃⊬-20BD7=∃⊬0","layer":1},{"info":"∂∃⊬0=∃⊬-108","layer":0}]}
{"id":926,"expression_no_base_symbol":"(-(⪝⪂⫅$2087$))≭($4291$≹⇙⪍$4356$⫡⨏$1137$⩚⊴⇥$1050$)⩨((⫛⫱⨽($1588$⋳⪒$1018$))⊪)","expression":"(-(⪝⪂⫅∃⊬827))≭(∃⊬10C3≹⇙⪍∃⊬1104⫡⨏∃⊬471⩚⊴⇥∃⊬41A)⩨((⫛⫱⨽(∃⊬634⋳⪒∃⊬3FA))⊪)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1609,"operation_count":10,"complexity_ratio":160.9,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2087,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":4291,"base":16},"right_expr":{"type":"numeric_atoms","value":4356,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1137,"base":16},"right_expr":{"type":"numeric_atoms","value":1050,"base":16}}}},"right_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1588,"base":16},"right_expr":{"type":"numeric_atoms","value":1018,"base":16}}}}},"used_operators":["2DlMacCsIx","rxpJgHHUmx","t8gj7n24qd","XTarYq4gQB","QMFrweE19q","AHs5Up7iyr","NTOWxs364D","zVYPLywUTj","DlLNRPXxWL","12rbrZMWeM"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2087","layer":4},{"info":"compute unary expreesion, input=2087, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-306789","layer":3},{"info":"compute unary expreesion, input=-306789, op_id = t8gj7n24qd, unary_op_definition = 'None', output=306789","layer":2},{"info":"number node, value=4291","layer":4},{"info":"number node, value=4356","layer":4},{"info":"compute binary expreesion, left_input=4291, right_input=4356, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=1137","layer":4},{"info":"number node, value=1050","layer":4},{"info":"compute binary expreesion, left_input=1137, right_input=1050, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2308","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-2308, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=306789, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=1588","layer":4},{"info":"number node, value=1018","layer":4},{"info":"compute binary expreesion, left_input=1588, right_input=1018, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=1871","layer":3},{"info":"compute unary expreesion, input=1871, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute unary expreesion, input=0, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, 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":"(-(⪝⪂⫅∃⊬827))≭(∃⊬10C3≹⇙⪍∃⊬1104⫡⨏∃⊬471⩚⊴⇥∃⊬41A)⩨((⫛⫱⨽(∃⊬634⋳⪒∃⊬3FA))⊪)=NaN","reverse_text":"NaN=(-(⪝⪂⫅∃⊬827))≭(∃⊬10C3≹⇙⪍∃⊬1104⫡⨏∃⊬471⩚⊴⇥∃⊬41A)⩨((⫛⫱⨽(∃⊬634⋳⪒∃⊬3FA))⊪)","cot":[{"info":"⪝⪂⫅∃⊬827=∃⊬-4AE65","layer":3},{"info":"-∃⊬-4AE65=∃⊬4AE65","layer":2},{"info":"∃⊬10C3≹⇙⪍∃⊬1104=NaN","layer":3},{"info":"∃⊬471⩚⊴⇥∃⊬41A=∃⊬-904","layer":3},{"info":"NaN⫡⨏∃⊬-904=NaN","layer":2},{"info":"∃⊬4AE65≭NaN=NaN","layer":1},{"info":"∃⊬634⋳⪒∃⊬3FA=∃⊬74F","layer":3},{"info":"⫛⫱⨽∃⊬74F=∃⊬0","layer":2},{"info":"∃⊬0⊪=∃⊬0","layer":1},{"info":"NaN⩨∃⊬0=NaN","layer":0}]}
{"id":927,"expression_no_base_symbol":"⩦⩻⨪(-$8068$)⪛($1188$⩚⊴⇥$1446$)⨓($1100$⩨$5100$)⇷$3591$⨟⋌⩍$7028$","expression":"⩦⩻⨪(-∃⊬1F84)⪛(∃⊬4A4⩚⊴⇥∃⊬5A6)⨓(∃⊬44C⩨∃⊬13EC)⇷∃⊬E07⨟⋌⩍∃⊬1B74","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":201,"operation_count":8,"complexity_ratio":25.125,"tree":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":8068,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1188,"base":16},"right_expr":{"type":"numeric_atoms","value":1446,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1100,"base":16},"right_expr":{"type":"numeric_atoms","value":5100,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":3591,"base":16},"right_expr":{"type":"numeric_atoms","value":7028,"base":16}}}}},"used_operators":["2td37pGCOC","3ViojmjbAp","uFcxV4UQCh","t8gj7n24qd","NTOWxs364D","mp7IySMOzn","2DlMacCsIx","rGHVDoGpnC"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8068","layer":4},{"info":"compute unary expreesion, input=8068, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-8068","layer":3},{"info":"number node, value=1188","layer":4},{"info":"number node, value=1446","layer":4},{"info":"compute binary expreesion, left_input=1188, right_input=1446, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2755","layer":3},{"info":"compute binary expreesion, left_input=-8068, right_input=-2755, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-2558","layer":2},{"info":"number node, value=1100","layer":4},{"info":"number node, value=5100","layer":4},{"info":"compute binary expreesion, left_input=1100, right_input=5100, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-12","layer":3},{"info":"number node, value=3591","layer":4},{"info":"number node, value=7028","layer":4},{"info":"compute binary expreesion, left_input=3591, right_input=7028, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-12, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2558, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', 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":"⩦⩻⨪(-∃⊬1F84)⪛(∃⊬4A4⩚⊴⇥∃⊬5A6)⨓(∃⊬44C⩨∃⊬13EC)⇷∃⊬E07⨟⋌⩍∃⊬1B74=NaN","reverse_text":"NaN=⩦⩻⨪(-∃⊬1F84)⪛(∃⊬4A4⩚⊴⇥∃⊬5A6)⨓(∃⊬44C⩨∃⊬13EC)⇷∃⊬E07⨟⋌⩍∃⊬1B74","cot":[{"info":"-∃⊬1F84=∃⊬-1F84","layer":3},{"info":"∃⊬4A4⩚⊴⇥∃⊬5A6=∃⊬-AC3","layer":3},{"info":"∃⊬-1F84⪛∃⊬-AC3=∃⊬-9FE","layer":2},{"info":"∃⊬44C⩨∃⊬13EC=∃⊬-C","layer":3},{"info":"∃⊬E07⨟⋌⩍∃⊬1B74=NaN","layer":3},{"info":"∃⊬-C⇷NaN=NaN","layer":2},{"info":"∃⊬-9FE⨓NaN=NaN","layer":1},{"info":"⩦⩻⨪NaN=NaN","layer":0}]}
{"id":928,"expression_no_base_symbol":"∂((⨑⩽⪐$6565$⇷$1554$)⫩⊇)","expression":"∂((⨑⩽⪐∃⊬19A5⇷∃⊬612)⫩⊇)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":91923,"operation_count":4,"complexity_ratio":22980.75,"tree":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"⫩⊇","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":6565,"base":16},"right_expr":{"type":"numeric_atoms","value":1554,"base":16}}}}},"used_operators":["Uaa54Peajs","BjRHVeLaeN","AF7qkfDlqP","mp7IySMOzn"],"dependent_operators":["B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6565","layer":4},{"info":"number node, value=1554","layer":4},{"info":"compute binary expreesion, left_input=6565, right_input=1554, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3108","layer":3},{"info":"compute unary expreesion, input=3108, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-2835","layer":2},{"info":"compute unary expreesion, input=-2835, op_id = BjRHVeLaeN, unary_op_definition = 'a⫩⊇ = { (-(a-42)) }', output=2877","layer":1},{"info":"compute unary expreesion, input=2877, 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":"∂((⨑⩽⪐∃⊬19A5⇷∃⊬612)⫩⊇)=NaN","reverse_text":"NaN=∂((⨑⩽⪐∃⊬19A5⇷∃⊬612)⫩⊇)","cot":[{"info":"∃⊬19A5⇷∃⊬612=∃⊬C24","layer":3},{"info":"⨑⩽⪐∃⊬C24=∃⊬-B13","layer":2},{"info":"∃⊬-B13⫩⊇=∃⊬B3D","layer":1},{"info":"∂∃⊬B3D=NaN","layer":0}]}
{"id":929,"expression_no_base_symbol":"(↔($6839$⪐))⪛($1270$∼$1062$)⨟⋌⩍($1784$⪄$1442$)∲⫓(⨵≀≌(≦∁$4742$%$1848$))","expression":"(↔(∃⊬1AB7⪐))⪛(∃⊬4F6∼∃⊬426)⨟⋌⩍(∃⊬6F8⪄∃⊬5A2)∲⫓(⨵≀≌(≦∁∃⊬1286%∃⊬738))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":142,"operation_count":10,"complexity_ratio":14.2,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":6839,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":1270,"base":16},"right_expr":{"type":"numeric_atoms","value":1062,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1784,"base":16},"right_expr":{"type":"numeric_atoms","value":1442,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":4742,"base":16},"right_expr":{"type":"numeric_atoms","value":1848,"base":16}}}}},"used_operators":["i8ToyICDmI","uFcxV4UQCh","ruOEQAzv1W","eH2TOUuTDT","rGHVDoGpnC","DyGG3AbaNP","SUmda5xLS4","srAu1WTS94","9ICcGScMcE","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6839","layer":4},{"info":"compute unary expreesion, input=6839, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=13678","layer":3},{"info":"compute unary expreesion, input=13678, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-13405","layer":2},{"info":"number node, value=1270","layer":4},{"info":"number node, value=1062","layer":4},{"info":"compute binary expreesion, left_input=1270, right_input=1062, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"number node, value=1784","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=1784, right_input=1442, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-265889","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-265889, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-13405, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=4742","layer":4},{"info":"number node, value=1848","layer":4},{"info":"compute binary expreesion, left_input=4742, right_input=1848, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1046","layer":3},{"info":"compute unary expreesion, input=1046, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1046","layer":2},{"info":"compute unary expreesion, input=1046, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-3138","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-3138, 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":"(↔(∃⊬1AB7⪐))⪛(∃⊬4F6∼∃⊬426)⨟⋌⩍(∃⊬6F8⪄∃⊬5A2)∲⫓(⨵≀≌(≦∁∃⊬1286%∃⊬738))=NaN","reverse_text":"NaN=(↔(∃⊬1AB7⪐))⪛(∃⊬4F6∼∃⊬426)⨟⋌⩍(∃⊬6F8⪄∃⊬5A2)∲⫓(⨵≀≌(≦∁∃⊬1286%∃⊬738))","cot":[{"info":"∃⊬1AB7⪐=∃⊬356E","layer":3},{"info":"↔∃⊬356E=∃⊬-345D","layer":2},{"info":"∃⊬4F6∼∃⊬426=NaN","layer":3},{"info":"∃⊬6F8⪄∃⊬5A2=∃⊬-40EA1","layer":3},{"info":"NaN⨟⋌⩍∃⊬-40EA1=NaN","layer":2},{"info":"∃⊬-345D⪛NaN=NaN","layer":1},{"info":"∃⊬1286%∃⊬738=∃⊬416","layer":3},{"info":"≦∁∃⊬416=∃⊬416","layer":2},{"info":"⨵≀≌∃⊬416=∃⊬-C42","layer":1},{"info":"NaN∲⫓∃⊬-C42=NaN","layer":0}]}
{"id":930,"expression_no_base_symbol":"($1920$⊴$6050$⫸⊐(≦∁$7020$))∀⇚≩($3500$⪒$1484$)⊴($2349$∸)⩷∴(∂(($4182$⨳⩥⨓$3790$)+⇶⊼$2105$⋝⋈⪟$9788$))","expression":"(∃⊬780⊴∃⊬17A2⫸⊐(≦∁∃⊬1B6C))∀⇚≩(∃⊬DAC⪒∃⊬5CC)⊴(∃⊬92D∸)⩷∴(∂((∃⊬1056⨳⩥⨓∃⊬ECE)+⇶⊼∃⊬839⋝⋈⪟∃⊬263C))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9323,"operation_count":12,"complexity_ratio":776.9166666666666,"tree":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1920,"base":16},"right_expr":{"type":"numeric_atoms","value":6050,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":7020,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":3500,"base":16},"right_expr":{"type":"numeric_atoms","value":1484,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2349,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4182,"base":16},"right_expr":{"type":"numeric_atoms","value":3790,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":2105,"base":16},"right_expr":{"type":"numeric_atoms","value":9788,"base":16}}}}},"used_operators":["9FxExcQeMw","LRNGc0VcxI","mqXw5SEYmG","Nsiff2A1zJ","9ICcGScMcE","f6k1SAg4EE","o20kRiQErp","Uaa54Peajs","TpPTUOHfaN","nCS4ZIUYfx","2DDjHMKMc0"],"dependent_operators":["rysDP5nf3Z","X99M06cbEe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1920","layer":4},{"info":"number node, value=6050","layer":4},{"info":"compute binary expreesion, left_input=1920, right_input=6050, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=7020","layer":4},{"info":"compute unary expreesion, input=7020, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=7020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7020, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"number node, value=3500","layer":4},{"info":"number node, value=1484","layer":4},{"info":"compute binary expreesion, left_input=3500, right_input=1484, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4984","layer":3},{"info":"number node, value=2349","layer":4},{"info":"compute unary expreesion, input=2349, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-4984, right_input=177, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=4182","layer":4},{"info":"number node, value=3790","layer":4},{"info":"compute binary expreesion, left_input=4182, right_input=3790, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-392","layer":3},{"info":"number node, value=2105","layer":4},{"info":"number node, value=9788","layer":4},{"info":"compute binary expreesion, left_input=2105, right_input=9788, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=2105","layer":3},{"info":"compute binary expreesion, left_input=-392, right_input=2105, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬780⊴∃⊬17A2⫸⊐(≦∁∃⊬1B6C))∀⇚≩(∃⊬DAC⪒∃⊬5CC)⊴(∃⊬92D∸)⩷∴(∂((∃⊬1056⨳⩥⨓∃⊬ECE)+⇶⊼∃⊬839⋝⋈⪟∃⊬263C))=NaN","reverse_text":"NaN=(∃⊬780⊴∃⊬17A2⫸⊐(≦∁∃⊬1B6C))∀⇚≩(∃⊬DAC⪒∃⊬5CC)⊴(∃⊬92D∸)⩷∴(∂((∃⊬1056⨳⩥⨓∃⊬ECE)+⇶⊼∃⊬839⋝⋈⪟∃⊬263C))","cot":[{"info":"∃⊬780⊴∃⊬17A2=NaN","layer":3},{"info":"≦∁∃⊬1B6C=∃⊬1B6C","layer":3},{"info":"NaN⫸⊐∃⊬1B6C=NaN","layer":2},{"info":"∃⊬DAC⪒∃⊬5CC=∃⊬-1378","layer":3},{"info":"∃⊬92D∸=∃⊬B1","layer":3},{"info":"∃⊬-1378⊴∃⊬B1=NaN","layer":2},{"info":"NaN∀⇚≩NaN=NaN","layer":1},{"info":"∃⊬1056⨳⩥⨓∃⊬ECE=∃⊬-188","layer":3},{"info":"∃⊬839⋝⋈⪟∃⊬263C=∃⊬839","layer":3},{"info":"∃⊬-188+⇶⊼∃⊬839=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⩷∴NaN=NaN","layer":0}]}
{"id":931,"expression_no_base_symbol":"((⇁⨣⪵$1381$)⨁⊸⫻)⪛(($1190$⪄$4649$)⨐⩸⫘($1370$⊭∹↮))⪄($1928$⨽$2205$%$2384$⪛$2856$)∼(($5252$/$4835$)∸)","expression":"((⇁⨣⪵∃⊬565)⨁⊸⫻)⪛((∃⊬4A6⪄∃⊬1229)⨐⩸⫘(∃⊬55A⊭∹↮))⪄(∃⊬788⨽∃⊬89D%∃⊬950⪛∃⊬B28)∼((∃⊬1484/∃⊬12E3)∸)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":7661,"operation_count":13,"complexity_ratio":589.3076923076923,"tree":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"numeric_atoms","value":1381,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1190,"base":16},"right_expr":{"type":"numeric_atoms","value":4649,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":1370,"base":16}}}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1928,"base":16},"right_expr":{"type":"numeric_atoms","value":2205,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2384,"base":16},"right_expr":{"type":"numeric_atoms","value":2856,"base":16}}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5252,"base":16},"right_expr":{"type":"numeric_atoms","value":4835,"base":16}}}}},"used_operators":["SUmda5xLS4","uFcxV4UQCh","glklzrTFfD","inkyxCbjAn","fu6greOZ01","xNBdhnnwKq","DyGG3AbaNP","k8jYdgA6NY","8HhzD0ZcuI","o20kRiQErp","XhwjNDsVaA"],"dependent_operators":["8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","B5M0gjZbta","3ViojmjbAp","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","rysDP5nf3Z"],"result":"∃⊬F8B","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1381","layer":4},{"info":"compute unary expreesion, input=1381, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=nan","layer":2},{"info":"number node, value=1190","layer":4},{"info":"number node, value=4649","layer":4},{"info":"compute binary expreesion, left_input=1190, right_input=4649, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-190805","layer":3},{"info":"number node, value=1370","layer":4},{"info":"compute unary expreesion, input=1370, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=2740","layer":3},{"info":"compute binary expreesion, left_input=-190805, right_input=2740, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=nan","layer":1},{"info":"number node, value=1928","layer":4},{"info":"number node, value=2205","layer":4},{"info":"compute binary expreesion, left_input=1928, right_input=2205, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11156853","layer":3},{"info":"number node, value=2384","layer":4},{"info":"number node, value=2856","layer":4},{"info":"compute binary expreesion, left_input=2384, right_input=2856, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2384","layer":3},{"info":"compute binary expreesion, left_input=-11156853, right_input=2384, op_id = k8jYdgA6NY binary_op_definition= 'None', output=267","layer":2},{"info":"number node, value=5252","layer":4},{"info":"number node, value=4835","layer":4},{"info":"compute binary expreesion, left_input=5252, right_input=4835, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"compute binary expreesion, left_input=267, right_input=177, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":0}],"base":16,"result_base":16,"text":"((⇁⨣⪵∃⊬565)⨁⊸⫻)⪛((∃⊬4A6⪄∃⊬1229)⨐⩸⫘(∃⊬55A⊭∹↮))⪄(∃⊬788⨽∃⊬89D%∃⊬950⪛∃⊬B28)∼((∃⊬1484/∃⊬12E3)∸)=∃⊬F8B","reverse_text":"∃⊬F8B=((⇁⨣⪵∃⊬565)⨁⊸⫻)⪛((∃⊬4A6⪄∃⊬1229)⨐⩸⫘(∃⊬55A⊭∹↮))⪄(∃⊬788⨽∃⊬89D%∃⊬950⪛∃⊬B28)∼((∃⊬1484/∃⊬12E3)∸)","cot":[{"info":"⇁⨣⪵∃⊬565=NaN","layer":3},{"info":"NaN⨁⊸⫻=NaN","layer":2},{"info":"∃⊬4A6⪄∃⊬1229=∃⊬-2E955","layer":3},{"info":"∃⊬55A⊭∹↮=∃⊬AB4","layer":3},{"info":"∃⊬-2E955⨐⩸⫘∃⊬AB4=NaN","layer":2},{"info":"NaN⪛NaN=NaN","layer":1},{"info":"∃⊬788⨽∃⊬89D=∃⊬-AA3D75","layer":3},{"info":"∃⊬950⪛∃⊬B28=∃⊬950","layer":3},{"info":"∃⊬-AA3D75%∃⊬950=∃⊬10B","layer":2},{"info":"∃⊬1484/∃⊬12E3=∃⊬1","layer":3},{"info":"∃⊬1∸=∃⊬B1","layer":2},{"info":"∃⊬10B∼∃⊬B1=∃⊬0","layer":1},{"info":"NaN⪄∃⊬0=∃⊬F8B","layer":0}]}
{"id":932,"expression_no_base_symbol":"($3177$⫸⊐$1209$⨵⪆$3527$%$2675$)⊴(($6101$⋷$6219$)⇼⇔∾$2599$⨟⋌⩍$1445$)⊦⊿","expression":"(∃⊬C69⫸⊐∃⊬4B9⨵⪆∃⊬DC7%∃⊬A73)⊴((∃⊬17D5⋷∃⊬184B)⇼⇔∾∃⊬A27⨟⋌⩍∃⊬5A5)⊦⊿","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":45,"operation_count":8,"complexity_ratio":5.625,"tree":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3177,"base":16},"right_expr":{"type":"numeric_atoms","value":1209,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3527,"base":16},"right_expr":{"type":"numeric_atoms","value":2675,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6101,"base":16},"right_expr":{"type":"numeric_atoms","value":6219,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2599,"base":16},"right_expr":{"type":"numeric_atoms","value":1445,"base":16}}}}},"used_operators":["14qkJME0vr","Nsiff2A1zJ","2DQ55sFlQl","mqXw5SEYmG","k8jYdgA6NY","tifHPKVTfV","23Mk6UjR3U","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3177","layer":4},{"info":"number node, value=1209","layer":4},{"info":"compute binary expreesion, left_input=3177, right_input=1209, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=4711","layer":3},{"info":"number node, value=3527","layer":4},{"info":"number node, value=2675","layer":4},{"info":"compute binary expreesion, left_input=3527, right_input=2675, op_id = k8jYdgA6NY binary_op_definition= 'None', output=852","layer":3},{"info":"compute binary expreesion, left_input=4711, right_input=852, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=6101","layer":4},{"info":"number node, value=6219","layer":4},{"info":"compute binary expreesion, left_input=6101, right_input=6219, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=6337","layer":3},{"info":"number node, value=2599","layer":4},{"info":"number node, value=1445","layer":4},{"info":"compute binary expreesion, left_input=2599, right_input=1445, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=6337, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬C69⫸⊐∃⊬4B9⨵⪆∃⊬DC7%∃⊬A73)⊴((∃⊬17D5⋷∃⊬184B)⇼⇔∾∃⊬A27⨟⋌⩍∃⊬5A5)⊦⊿=NaN","reverse_text":"NaN=(∃⊬C69⫸⊐∃⊬4B9⨵⪆∃⊬DC7%∃⊬A73)⊴((∃⊬17D5⋷∃⊬184B)⇼⇔∾∃⊬A27⨟⋌⩍∃⊬5A5)⊦⊿","cot":[{"info":"∃⊬C69⫸⊐∃⊬4B9=∃⊬1267","layer":3},{"info":"∃⊬DC7%∃⊬A73=∃⊬354","layer":3},{"info":"∃⊬1267⨵⪆∃⊬354=∃⊬A0","layer":2},{"info":"∃⊬17D5⋷∃⊬184B=∃⊬18C1","layer":3},{"info":"∃⊬A27⨟⋌⩍∃⊬5A5=NaN","layer":3},{"info":"∃⊬18C1⇼⇔∾NaN=NaN","layer":2},{"info":"∃⊬A0⊴NaN=NaN","layer":1},{"info":"NaN⊦⊿=NaN","layer":0}]}
{"id":933,"expression_no_base_symbol":"(↥(↥($1900$⨸⪁$5478$)))+($5201$⊉≛↸$5232$)≹⇙⪍($2009$⪛$5459$)⊭↱(($1036$*$1210$)⊠≄⫣)","expression":"(↥(↥(∃⊬76C⨸⪁∃⊬1566)))+(∃⊬1451⊉≛↸∃⊬1470)≹⇙⪍(∃⊬7D9⪛∃⊬1553)⊭↱((∃⊬40C*∃⊬4BA)⊠≄⫣)","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1346,"operation_count":10,"complexity_ratio":134.6,"tree":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1900,"base":16},"right_expr":{"type":"numeric_atoms","value":5478,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5201,"base":16},"right_expr":{"type":"numeric_atoms","value":5232,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2009,"base":16},"right_expr":{"type":"numeric_atoms","value":5459,"base":16}}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1036,"base":16},"right_expr":{"type":"numeric_atoms","value":1210,"base":16}}}}},"used_operators":["W4YGzv6Whe","A8NUZmVepG","g55IO6H4Gj","COABgblf1C","AHs5Up7iyr","DZ8iAZOCBD","uFcxV4UQCh","DIvbN7qnHd","9HNa5Wba9A"],"dependent_operators":["k8jYdgA6NY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1900","layer":4},{"info":"number node, value=5478","layer":4},{"info":"compute binary expreesion, left_input=1900, right_input=5478, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=14756","layer":3},{"info":"compute unary expreesion, input=14756, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":2},{"info":"compute unary expreesion, input=17, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=17","layer":1},{"info":"number node, value=5201","layer":4},{"info":"number node, value=5232","layer":4},{"info":"compute binary expreesion, left_input=5201, right_input=5232, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10402","layer":3},{"info":"number node, value=2009","layer":4},{"info":"number node, value=5459","layer":4},{"info":"compute binary expreesion, left_input=2009, right_input=5459, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2009","layer":3},{"info":"compute binary expreesion, left_input=10402, right_input=2009, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1036","layer":4},{"info":"number node, value=1210","layer":4},{"info":"compute binary expreesion, left_input=1036, right_input=1210, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=1253560","layer":3},{"info":"compute unary expreesion, input=1253560, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=17, right_input=nan, op_id = W4YGzv6Whe binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↥(↥(∃⊬76C⨸⪁∃⊬1566)))+(∃⊬1451⊉≛↸∃⊬1470)≹⇙⪍(∃⊬7D9⪛∃⊬1553)⊭↱((∃⊬40C*∃⊬4BA)⊠≄⫣)=NaN","reverse_text":"NaN=(↥(↥(∃⊬76C⨸⪁∃⊬1566)))+(∃⊬1451⊉≛↸∃⊬1470)≹⇙⪍(∃⊬7D9⪛∃⊬1553)⊭↱((∃⊬40C*∃⊬4BA)⊠≄⫣)","cot":[{"info":"∃⊬76C⨸⪁∃⊬1566=∃⊬39A4","layer":3},{"info":"↥∃⊬39A4=∃⊬11","layer":2},{"info":"↥∃⊬11=∃⊬11","layer":1},{"info":"∃⊬1451⊉≛↸∃⊬1470=∃⊬28A2","layer":3},{"info":"∃⊬7D9⪛∃⊬1553=∃⊬7D9","layer":3},{"info":"∃⊬28A2≹⇙⪍∃⊬7D9=NaN","layer":2},{"info":"∃⊬40C*∃⊬4BA=∃⊬1320B8","layer":3},{"info":"∃⊬1320B8⊠≄⫣=∃⊬0","layer":2},{"info":"NaN⊭↱∃⊬0=NaN","layer":1},{"info":"∃⊬11+NaN=NaN","layer":0}]}
{"id":934,"expression_no_base_symbol":"($2804$≭$4672$)∑⇟⊟($1368$⨽$6401$)∑⇟⊟(≤/($1292$⨵⪆$2259$))⩨(∂($8844$⩚⊴⇥$8506$⨐⩸⫘(≦∁$1405$)))","expression":"(∃⊬AF4≭∃⊬1240)∑⇟⊟(∃⊬558⨽∃⊬1901)∑⇟⊟(≤/(∃⊬50C⨵⪆∃⊬8D3))⩨(∂(∃⊬228C⩚⊴⇥∃⊬213A⨐⩸⫘(≦∁∃⊬57D)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":106367,"operation_count":11,"complexity_ratio":9669.727272727272,"tree":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2804,"base":16},"right_expr":{"type":"numeric_atoms","value":4672,"base":16}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1368,"base":16},"right_expr":{"type":"numeric_atoms","value":6401,"base":16}}},"right_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1292,"base":16},"right_expr":{"type":"numeric_atoms","value":2259,"base":16}}}},"right_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":8844,"base":16},"right_expr":{"type":"numeric_atoms","value":8506,"base":16}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1405,"base":16}}}}},"used_operators":["2DlMacCsIx","U7g4x0WXJJ","rxpJgHHUmx","8HhzD0ZcuI","eLAdDNolq6","2DQ55sFlQl","Uaa54Peajs","fu6greOZ01","NTOWxs364D","9ICcGScMcE"],"dependent_operators":["D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2804","layer":4},{"info":"number node, value=4672","layer":4},{"info":"compute binary expreesion, left_input=2804, right_input=4672, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=1368","layer":4},{"info":"number node, value=6401","layer":4},{"info":"compute binary expreesion, left_input=1368, right_input=6401, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-5632161","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5632161, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=1292","layer":4},{"info":"number node, value=2259","layer":4},{"info":"compute binary expreesion, left_input=1292, right_input=2259, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=324, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"number node, value=8844","layer":4},{"info":"number node, value=8506","layer":4},{"info":"compute binary expreesion, left_input=8844, right_input=8506, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-17471","layer":3},{"info":"number node, value=1405","layer":4},{"info":"compute unary expreesion, input=1405, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1405","layer":3},{"info":"compute binary expreesion, left_input=-17471, right_input=1405, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬AF4≭∃⊬1240)∑⇟⊟(∃⊬558⨽∃⊬1901)∑⇟⊟(≤/(∃⊬50C⨵⪆∃⊬8D3))⩨(∂(∃⊬228C⩚⊴⇥∃⊬213A⨐⩸⫘(≦∁∃⊬57D)))=NaN","reverse_text":"NaN=(∃⊬AF4≭∃⊬1240)∑⇟⊟(∃⊬558⨽∃⊬1901)∑⇟⊟(≤/(∃⊬50C⨵⪆∃⊬8D3))⩨(∂(∃⊬228C⩚⊴⇥∃⊬213A⨐⩸⫘(≦∁∃⊬57D)))","cot":[{"info":"∃⊬AF4≭∃⊬1240=NaN","layer":3},{"info":"∃⊬558⨽∃⊬1901=∃⊬-55F0A1","layer":3},{"info":"NaN∑⇟⊟∃⊬-55F0A1=NaN","layer":2},{"info":"∃⊬50C⨵⪆∃⊬8D3=∃⊬A0","layer":3},{"info":"≤/∃⊬A0=∃⊬144","layer":2},{"info":"NaN∑⇟⊟∃⊬144=NaN","layer":1},{"info":"∃⊬228C⩚⊴⇥∃⊬213A=∃⊬-443F","layer":3},{"info":"≦∁∃⊬57D=∃⊬57D","layer":3},{"info":"∃⊬-443F⨐⩸⫘∃⊬57D=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"NaN⩨NaN=NaN","layer":0}]}
{"id":935,"expression_no_base_symbol":"(($1176$≋⫹)⨪↰⇹($2330$∸)⨽(⪲⇎$4067$∼$1970$))≧⫂∧((⨞⊢($1363$+$4106$))⨳⩥⨓(-$1422$)⪘⫢(⨑⩽⪐$2019$))","expression":"((∃⊬498≋⫹)⨪↰⇹(∃⊬91A∸)⨽(⪲⇎∃⊬FE3∼∃⊬7B2))≧⫂∧((⨞⊢(∃⊬553+∃⊬100A))⨳⩥⨓(-∃⊬58E)⪘⫢(⨑⩽⪐∃⊬7E3))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":4997,"operation_count":13,"complexity_ratio":384.38461538461536,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1176,"base":16}},"right_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":2330,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4067,"base":16},"right_expr":{"type":"numeric_atoms","value":1970,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1363,"base":16},"right_expr":{"type":"numeric_atoms","value":4106,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":1422,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":2019,"base":16}}}}},"used_operators":["Ph9nP6C5qx","8HhzD0ZcuI","tmPS8pqC7x","N41Kp7NANJ","o20kRiQErp","XPYlsWDdGa","DyGG3AbaNP","nCS4ZIUYfx","xUOZtlo3hN","W4YGzv6Whe","oacrs7FA3X","t8gj7n24qd","AF7qkfDlqP"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rJVOvQCfKK","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"∃⊬1431","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1176","layer":4},{"info":"compute unary expreesion, input=1176, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2352","layer":3},{"info":"number node, value=2330","layer":4},{"info":"compute unary expreesion, input=2330, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"compute binary expreesion, left_input=-2352, right_input=177, 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=-2352","layer":2},{"info":"number node, value=4067","layer":4},{"info":"number node, value=1970","layer":4},{"info":"compute binary expreesion, left_input=4067, right_input=1970, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2352, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"number node, value=1363","layer":4},{"info":"number node, value=4106","layer":4},{"info":"compute binary expreesion, left_input=1363, right_input=4106, op_id = W4YGzv6Whe binary_op_definition= 'None', output=5469","layer":3},{"info":"compute unary expreesion, input=5469, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-5643","layer":2},{"info":"number node, value=1422","layer":4},{"info":"compute unary expreesion, input=1422, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-1422","layer":3},{"info":"number node, value=2019","layer":4},{"info":"compute unary expreesion, input=2019, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1746","layer":3},{"info":"compute binary expreesion, left_input=-1422, right_input=-1746, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=-5643, right_input=-1, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=5642","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=5642, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=5169","layer":0}],"base":16,"result_base":16,"text":"((∃⊬498≋⫹)⨪↰⇹(∃⊬91A∸)⨽(⪲⇎∃⊬FE3∼∃⊬7B2))≧⫂∧((⨞⊢(∃⊬553+∃⊬100A))⨳⩥⨓(-∃⊬58E)⪘⫢(⨑⩽⪐∃⊬7E3))=∃⊬1431","reverse_text":"∃⊬1431=((∃⊬498≋⫹)⨪↰⇹(∃⊬91A∸)⨽(⪲⇎∃⊬FE3∼∃⊬7B2))≧⫂∧((⨞⊢(∃⊬553+∃⊬100A))⨳⩥⨓(-∃⊬58E)⪘⫢(⨑⩽⪐∃⊬7E3))","cot":[{"info":"∃⊬498≋⫹=∃⊬-930","layer":3},{"info":"∃⊬91A∸=∃⊬B1","layer":3},{"info":"∃⊬-930⨪↰⇹∃⊬B1=∃⊬-930","layer":2},{"info":"∃⊬FE3∼∃⊬7B2=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"∃⊬-930⨽NaN=NaN","layer":1},{"info":"∃⊬553+∃⊬100A=∃⊬155D","layer":3},{"info":"⨞⊢∃⊬155D=∃⊬-160B","layer":2},{"info":"-∃⊬58E=∃⊬-58E","layer":3},{"info":"⨑⩽⪐∃⊬7E3=∃⊬-6D2","layer":3},{"info":"∃⊬-58E⪘⫢∃⊬-6D2=∃⊬-1","layer":2},{"info":"∃⊬-160B⨳⩥⨓∃⊬-1=∃⊬160A","layer":1},{"info":"NaN≧⫂∧∃⊬160A=∃⊬1431","layer":0}]}
{"id":936,"expression_no_base_symbol":"≉($1561$⫡⨏$2285$)≹⇙⪍($4316$≎⊠⪸$2442$)∀⇚≩((≦∁$1237$)⊭↱$1495$↺$7017$)","expression":"≉(∃⊬619⫡⨏∃⊬8ED)≹⇙⪍(∃⊬10DC≎⊠⪸∃⊬98A)∀⇚≩((≦∁∃⊬4D5)⊭↱∃⊬5D7↺∃⊬1B69)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":289,"operation_count":8,"complexity_ratio":36.125,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1561,"base":16},"right_expr":{"type":"numeric_atoms","value":2285,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":4316,"base":16},"right_expr":{"type":"numeric_atoms","value":2442,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"numeric_atoms","value":1237,"base":16}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1495,"base":16},"right_expr":{"type":"numeric_atoms","value":7017,"base":16}}}}},"used_operators":["e1ybzncUwg","LRNGc0VcxI","AHs5Up7iyr","QMFrweE19q","bJkvcejdHO","COABgblf1C","9ICcGScMcE","7j4O788W3g"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","dWAJyo7jo9","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","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=1561","layer":4},{"info":"number node, value=2285","layer":4},{"info":"compute binary expreesion, left_input=1561, right_input=2285, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=13158","layer":3},{"info":"number node, value=4316","layer":4},{"info":"number node, value=2442","layer":4},{"info":"compute binary expreesion, left_input=4316, right_input=2442, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1117371","layer":3},{"info":"compute binary expreesion, left_input=13158, right_input=1117371, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1237","layer":4},{"info":"compute unary expreesion, input=1237, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=1237","layer":3},{"info":"number node, value=1495","layer":4},{"info":"number node, value=7017","layer":4},{"info":"compute binary expreesion, left_input=1495, right_input=7017, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=7017","layer":3},{"info":"compute binary expreesion, left_input=1237, right_input=7017, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=11565","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=11565, 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 = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉(∃⊬619⫡⨏∃⊬8ED)≹⇙⪍(∃⊬10DC≎⊠⪸∃⊬98A)∀⇚≩((≦∁∃⊬4D5)⊭↱∃⊬5D7↺∃⊬1B69)=NaN","reverse_text":"NaN=≉(∃⊬619⫡⨏∃⊬8ED)≹⇙⪍(∃⊬10DC≎⊠⪸∃⊬98A)∀⇚≩((≦∁∃⊬4D5)⊭↱∃⊬5D7↺∃⊬1B69)","cot":[{"info":"∃⊬619⫡⨏∃⊬8ED=∃⊬3366","layer":3},{"info":"∃⊬10DC≎⊠⪸∃⊬98A=∃⊬110CBB","layer":3},{"info":"∃⊬3366≹⇙⪍∃⊬110CBB=NaN","layer":2},{"info":"≦∁∃⊬4D5=∃⊬4D5","layer":3},{"info":"∃⊬5D7↺∃⊬1B69=∃⊬1B69","layer":3},{"info":"∃⊬4D5⊭↱∃⊬1B69=∃⊬2D2D","layer":2},{"info":"NaN∀⇚≩∃⊬2D2D=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":937,"expression_no_base_symbol":"($3169$⋥≓≎$3065$)∀⇚≩($7717$*$1597$)⫥∨⫟((≉$1223$)-$4199$⇼⇔∾$4539$)⋥≓≎(↩$1509$⇷$1126$⨰($1610$⨵⪆$4918$))","expression":"(∃⊬C61⋥≓≎∃⊬BF9)∀⇚≩(∃⊬1E25*∃⊬63D)⫥∨⫟((≉∃⊬4C7)-∃⊬1067⇼⇔∾∃⊬11BB)⋥≓≎(↩∃⊬5E5⇷∃⊬466⨰(∃⊬64A⨵⪆∃⊬1336))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":43875,"operation_count":12,"complexity_ratio":3656.25,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3169,"base":16},"right_expr":{"type":"numeric_atoms","value":3065,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":7717,"base":16},"right_expr":{"type":"numeric_atoms","value":1597,"base":16}}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1223,"base":16}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":4199,"base":16},"right_expr":{"type":"numeric_atoms","value":4539,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1509,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":1610,"base":16},"right_expr":{"type":"numeric_atoms","value":4918,"base":16}}}}},"used_operators":["Qy55tPpLXF","KYD54nUTWz","LRNGc0VcxI","9HNa5Wba9A","rysDP5nf3Z","e1ybzncUwg","tifHPKVTfV","jLgFTUHLKL","eewbuw0ToL","mp7IySMOzn","2DQ55sFlQl"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","X99M06cbEe","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬43","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3169","layer":4},{"info":"number node, value=3065","layer":4},{"info":"compute binary expreesion, left_input=3169, right_input=3065, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2994","layer":3},{"info":"number node, value=7717","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=7717, right_input=1597, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=12324049","layer":3},{"info":"compute binary expreesion, left_input=2994, right_input=12324049, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1223","layer":4},{"info":"compute unary expreesion, input=1223, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1754","layer":3},{"info":"number node, value=4199","layer":4},{"info":"number node, value=4539","layer":4},{"info":"compute binary expreesion, left_input=4199, right_input=4539, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=340","layer":3},{"info":"compute binary expreesion, left_input=1754, right_input=340, op_id = rysDP5nf3Z binary_op_definition= 'None', output=1414","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1414, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":1},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1126, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2252","layer":3},{"info":"number node, value=1610","layer":4},{"info":"number node, value=4918","layer":4},{"info":"compute binary expreesion, left_input=1610, right_input=4918, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2252, right_input=160, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2102","layer":2},{"info":"compute unary expreesion, input=2102, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-14036","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-14036, 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":"(∃⊬C61⋥≓≎∃⊬BF9)∀⇚≩(∃⊬1E25*∃⊬63D)⫥∨⫟((≉∃⊬4C7)-∃⊬1067⇼⇔∾∃⊬11BB)⋥≓≎(↩∃⊬5E5⇷∃⊬466⨰(∃⊬64A⨵⪆∃⊬1336))=∃⊬43","reverse_text":"∃⊬43=(∃⊬C61⋥≓≎∃⊬BF9)∀⇚≩(∃⊬1E25*∃⊬63D)⫥∨⫟((≉∃⊬4C7)-∃⊬1067⇼⇔∾∃⊬11BB)⋥≓≎(↩∃⊬5E5⇷∃⊬466⨰(∃⊬64A⨵⪆∃⊬1336))","cot":[{"info":"∃⊬C61⋥≓≎∃⊬BF9=∃⊬BB2","layer":3},{"info":"∃⊬1E25*∃⊬63D=∃⊬BC0CD1","layer":3},{"info":"∃⊬BB2∀⇚≩∃⊬BC0CD1=NaN","layer":2},{"info":"≉∃⊬4C7=∃⊬6DA","layer":3},{"info":"∃⊬1067⇼⇔∾∃⊬11BB=∃⊬154","layer":3},{"info":"∃⊬6DA-∃⊬154=∃⊬586","layer":2},{"info":"NaN⫥∨⫟∃⊬586=NaN","layer":1},{"info":"∃⊬5E5⇷∃⊬466=∃⊬8CC","layer":3},{"info":"∃⊬64A⨵⪆∃⊬1336=∃⊬A0","layer":3},{"info":"∃⊬8CC⨰∃⊬A0=∃⊬836","layer":2},{"info":"↩∃⊬836=∃⊬-36D4","layer":1},{"info":"NaN⋥≓≎∃⊬-36D4=∃⊬43","layer":0}]}
{"id":938,"expression_no_base_symbol":"((⪝⪂⫅($1086$+$8766$))⨐⩸⫘(($2971$⇋≉)⋷$4764$⋥≓≎$8889$))⊴(⨵≀≌(≤/(↽≂$6601$)))","expression":"((⪝⪂⫅(∃⊬43E+∃⊬223E))⨐⩸⫘((∃⊬B9B⇋≉)⋷∃⊬129C⋥≓≎∃⊬22B9))⊴(⨵≀≌(≤/(↽≂∃⊬19C9)))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":41233,"operation_count":10,"complexity_ratio":4123.3,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1086,"base":16},"right_expr":{"type":"numeric_atoms","value":8766,"base":16}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":2971,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":4764,"base":16},"right_expr":{"type":"numeric_atoms","value":8889,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":6601,"base":16}}}}},"used_operators":["Nsiff2A1zJ","fu6greOZ01","XTarYq4gQB","W4YGzv6Whe","23Mk6UjR3U","XIabStNQrY","Qy55tPpLXF","srAu1WTS94","eLAdDNolq6","u6S6b8DprG"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","3ViojmjbAp","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1086","layer":4},{"info":"number node, value=8766","layer":4},{"info":"compute binary expreesion, left_input=1086, right_input=8766, op_id = W4YGzv6Whe binary_op_definition= 'None', output=9852","layer":3},{"info":"compute unary expreesion, input=9852, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-1448244","layer":2},{"info":"number node, value=2971","layer":4},{"info":"compute unary expreesion, input=2971, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=5844","layer":3},{"info":"number node, value=4764","layer":4},{"info":"number node, value=8889","layer":4},{"info":"compute binary expreesion, left_input=4764, right_input=8889, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=13047","layer":3},{"info":"compute binary expreesion, left_input=5844, right_input=13047, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=20250","layer":2},{"info":"compute binary expreesion, left_input=-1448244, right_input=20250, 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=6601","layer":4},{"info":"compute unary expreesion, input=6601, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-13202","layer":3},{"info":"compute unary expreesion, input=-13202, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=13686","layer":2},{"info":"compute unary expreesion, input=13686, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-41058","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-41058, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⪝⪂⫅(∃⊬43E+∃⊬223E))⨐⩸⫘((∃⊬B9B⇋≉)⋷∃⊬129C⋥≓≎∃⊬22B9))⊴(⨵≀≌(≤/(↽≂∃⊬19C9)))=NaN","reverse_text":"NaN=((⪝⪂⫅(∃⊬43E+∃⊬223E))⨐⩸⫘((∃⊬B9B⇋≉)⋷∃⊬129C⋥≓≎∃⊬22B9))⊴(⨵≀≌(≤/(↽≂∃⊬19C9)))","cot":[{"info":"∃⊬43E+∃⊬223E=∃⊬267C","layer":3},{"info":"⪝⪂⫅∃⊬267C=∃⊬-161934","layer":2},{"info":"∃⊬B9B⇋≉=∃⊬16D4","layer":3},{"info":"∃⊬129C⋥≓≎∃⊬22B9=∃⊬32F7","layer":3},{"info":"∃⊬16D4⋷∃⊬32F7=∃⊬4F1A","layer":2},{"info":"∃⊬-161934⨐⩸⫘∃⊬4F1A=NaN","layer":1},{"info":"↽≂∃⊬19C9=∃⊬-3392","layer":3},{"info":"≤/∃⊬-3392=∃⊬3576","layer":2},{"info":"⨵≀≌∃⊬3576=∃⊬-A062","layer":1},{"info":"NaN⊴∃⊬-A062=NaN","layer":0}]}
{"id":939,"expression_no_base_symbol":"(($1003$≧⫂∧$3369$∲⫓$5412$⫥∨⫟$3147$)⩨($1092$⋳⪒$5980$≋⫹))≧⫂∧(($2701$⪛$1079$∸)*(⊙↵-$5782$)∑⇟⊟($5385$⨵⪆$5809$))","expression":"((∃⊬3EB≧⫂∧∃⊬D29∲⫓∃⊬1524⫥∨⫟∃⊬C4B)⩨(∃⊬444⋳⪒∃⊬175C≋⫹))≧⫂∧((∃⊬A8D⪛∃⊬437∸)*(⊙↵-∃⊬1696)∑⇟⊟(∃⊬1509⨵⪆∃⊬16B1))","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":31784,"operation_count":13,"complexity_ratio":2444.923076923077,"tree":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":1003,"base":16},"right_expr":{"type":"numeric_atoms","value":3369,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":5412,"base":16},"right_expr":{"type":"numeric_atoms","value":3147,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1092,"base":16},"right_expr":{"type":"numeric_atoms","value":5980,"base":16}}}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":2701,"base":16},"right_expr":{"type":"numeric_atoms","value":1079,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":5782,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":5385,"base":16},"right_expr":{"type":"numeric_atoms","value":5809,"base":16}}}}},"used_operators":["Ph9nP6C5qx","2DlMacCsIx","i8ToyICDmI","KYD54nUTWz","N41Kp7NANJ","12rbrZMWeM","9HNa5Wba9A","o20kRiQErp","uFcxV4UQCh","U7g4x0WXJJ","oWn0xqSxBt","2DQ55sFlQl"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1003","layer":4},{"info":"number node, value=3369","layer":4},{"info":"compute binary expreesion, left_input=1003, right_input=3369, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2896","layer":3},{"info":"number node, value=5412","layer":4},{"info":"number node, value=3147","layer":4},{"info":"compute binary expreesion, left_input=5412, right_input=3147, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2896, right_input=nan, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":2},{"info":"number node, value=1092","layer":4},{"info":"number node, value=5980","layer":4},{"info":"compute binary expreesion, left_input=1092, right_input=5980, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=-4083","layer":3},{"info":"compute unary expreesion, input=-4083, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=8166","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=8166, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"number node, value=2701","layer":4},{"info":"number node, value=1079","layer":4},{"info":"compute binary expreesion, left_input=2701, right_input=1079, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=543","layer":3},{"info":"compute unary expreesion, input=543, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":2},{"info":"number node, value=5782","layer":4},{"info":"compute unary expreesion, input=5782, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=5385","layer":4},{"info":"number node, value=5809","layer":4},{"info":"compute binary expreesion, left_input=5385, right_input=5809, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=160, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=177, right_input=nan, op_id = 9HNa5Wba9A binary_op_definition= 'None', 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":"((∃⊬3EB≧⫂∧∃⊬D29∲⫓∃⊬1524⫥∨⫟∃⊬C4B)⩨(∃⊬444⋳⪒∃⊬175C≋⫹))≧⫂∧((∃⊬A8D⪛∃⊬437∸)*(⊙↵-∃⊬1696)∑⇟⊟(∃⊬1509⨵⪆∃⊬16B1))=NaN","reverse_text":"NaN=((∃⊬3EB≧⫂∧∃⊬D29∲⫓∃⊬1524⫥∨⫟∃⊬C4B)⩨(∃⊬444⋳⪒∃⊬175C≋⫹))≧⫂∧((∃⊬A8D⪛∃⊬437∸)*(⊙↵-∃⊬1696)∑⇟⊟(∃⊬1509⨵⪆∃⊬16B1))","cot":[{"info":"∃⊬3EB≧⫂∧∃⊬D29=∃⊬B50","layer":3},{"info":"∃⊬1524⫥∨⫟∃⊬C4B=NaN","layer":3},{"info":"∃⊬B50∲⫓NaN=NaN","layer":2},{"info":"∃⊬444⋳⪒∃⊬175C=∃⊬-FF3","layer":3},{"info":"∃⊬-FF3≋⫹=∃⊬1FE6","layer":2},{"info":"NaN⩨∃⊬1FE6=NaN","layer":1},{"info":"∃⊬A8D⪛∃⊬437=∃⊬21F","layer":3},{"info":"∃⊬21F∸=∃⊬B1","layer":2},{"info":"⊙↵-∃⊬1696=∃⊬-1","layer":3},{"info":"∃⊬1509⨵⪆∃⊬16B1=∃⊬A0","layer":3},{"info":"∃⊬-1∑⇟⊟∃⊬A0=NaN","layer":2},{"info":"∃⊬B1*NaN=NaN","layer":1},{"info":"NaN≧⫂∧NaN=NaN","layer":0}]}
{"id":940,"expression_no_base_symbol":"(↽≂($2900$⩷∴$1000$-$2270$∑⇟⊟$4337$))⨽(⇁⨣⪵($4216$⋷$1493$))⋝⋈⪟($2151$⊠≄⫣)⊴($4561$⫡⨏$5217$)","expression":"(↽≂(∃⊬B54⩷∴∃⊬3E8-∃⊬8DE∑⇟⊟∃⊬10F1))⨽(⇁⨣⪵(∃⊬1078⋷∃⊬5D5))⋝⋈⪟(∃⊬867⊠≄⫣)⊴(∃⊬11D1⫡⨏∃⊬1461)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":34066,"operation_count":11,"complexity_ratio":3096.909090909091,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2900,"base":16},"right_expr":{"type":"numeric_atoms","value":1000,"base":16}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2270,"base":16},"right_expr":{"type":"numeric_atoms","value":4337,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":4216,"base":16},"right_expr":{"type":"numeric_atoms","value":1493,"base":16}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":2151,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":4561,"base":16},"right_expr":{"type":"numeric_atoms","value":5217,"base":16}}}}},"used_operators":["8HhzD0ZcuI","u6S6b8DprG","rysDP5nf3Z","9FxExcQeMw","U7g4x0WXJJ","2DDjHMKMc0","inkyxCbjAn","23Mk6UjR3U","Nsiff2A1zJ","DIvbN7qnHd","QMFrweE19q"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=2900","layer":4},{"info":"number node, value=1000","layer":4},{"info":"compute binary expreesion, left_input=2900, right_input=1000, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=3768","layer":3},{"info":"number node, value=2270","layer":4},{"info":"number node, value=4337","layer":4},{"info":"compute binary expreesion, left_input=2270, right_input=4337, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3768, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=nan","layer":1},{"info":"number node, value=4216","layer":4},{"info":"number node, value=1493","layer":4},{"info":"compute binary expreesion, left_input=4216, right_input=1493, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-1230","layer":3},{"info":"compute unary expreesion, input=-1230, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":2},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"number node, value=4561","layer":4},{"info":"number node, value=5217","layer":4},{"info":"compute binary expreesion, left_input=4561, right_input=5217, 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=34022","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=34022, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↽≂(∃⊬B54⩷∴∃⊬3E8-∃⊬8DE∑⇟⊟∃⊬10F1))⨽(⇁⨣⪵(∃⊬1078⋷∃⊬5D5))⋝⋈⪟(∃⊬867⊠≄⫣)⊴(∃⊬11D1⫡⨏∃⊬1461)=NaN","reverse_text":"NaN=(↽≂(∃⊬B54⩷∴∃⊬3E8-∃⊬8DE∑⇟⊟∃⊬10F1))⨽(⇁⨣⪵(∃⊬1078⋷∃⊬5D5))⋝⋈⪟(∃⊬867⊠≄⫣)⊴(∃⊬11D1⫡⨏∃⊬1461)","cot":[{"info":"∃⊬B54⩷∴∃⊬3E8=∃⊬EB8","layer":3},{"info":"∃⊬8DE∑⇟⊟∃⊬10F1=NaN","layer":3},{"info":"∃⊬EB8-NaN=NaN","layer":2},{"info":"↽≂NaN=NaN","layer":1},{"info":"∃⊬1078⋷∃⊬5D5=∃⊬-4CE","layer":3},{"info":"⇁⨣⪵∃⊬-4CE=NaN","layer":2},{"info":"∃⊬867⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬11D1⫡⨏∃⊬1461=∃⊬84E6","layer":3},{"info":"∃⊬0⊴∃⊬84E6=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"NaN⨽NaN=NaN","layer":0}]}
{"id":941,"expression_no_base_symbol":"-(↩(↯⪼($3457$/$1807$)))","expression":"-(↩(↯⪼(∃⊬D81/∃⊬70F)))","highest_n_order":2,"priority_hierarchical_complexity":4,"normalized_expansion_degree":52,"operation_count":4,"complexity_ratio":13.0,"tree":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":3457,"base":16},"right_expr":{"type":"numeric_atoms","value":1807,"base":16}}}}},"used_operators":["t8gj7n24qd","jLgFTUHLKL","8jW3W4yZS5","XhwjNDsVaA"],"dependent_operators":["sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","rysDP5nf3Z"],"result":"∃⊬-13E8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3457","layer":4},{"info":"number node, value=1807","layer":4},{"info":"compute binary expreesion, left_input=3457, right_input=1807, op_id = XhwjNDsVaA binary_op_definition= 'None', output=1","layer":3},{"info":"compute unary expreesion, input=1, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":2},{"info":"compute unary expreesion, input=-21, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=5096","layer":1},{"info":"compute unary expreesion, input=5096, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5096","layer":0}],"base":16,"result_base":16,"text":"-(↩(↯⪼(∃⊬D81/∃⊬70F)))=∃⊬-13E8","reverse_text":"∃⊬-13E8=-(↩(↯⪼(∃⊬D81/∃⊬70F)))","cot":[{"info":"∃⊬D81/∃⊬70F=∃⊬1","layer":3},{"info":"↯⪼∃⊬1=∃⊬-15","layer":2},{"info":"↩∃⊬-15=∃⊬13E8","layer":1},{"info":"-∃⊬13E8=∃⊬-13E8","layer":0}]}
{"id":942,"expression_no_base_symbol":"($2925$⋳⪒$1075$)⪛($3682$⇷$1364$)⫸⊐(⪲⇎$2910$⩚⊴⇥$1883$)/($4189$∑⇟⊟$2420$)∀⇚≩($4745$⪐)⨎($1695$⪘⫢$3964$⨵⪆$2072$⨓$1655$)","expression":"(∃⊬B6D⋳⪒∃⊬433)⪛(∃⊬E62⇷∃⊬554)⫸⊐(⪲⇎∃⊬B5E⩚⊴⇥∃⊬75B)/(∃⊬105D∑⇟⊟∃⊬974)∀⇚≩(∃⊬1289⪐)⨎(∃⊬69F⪘⫢∃⊬F7C⨵⪆∃⊬818⨓∃⊬677)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":53397,"operation_count":14,"complexity_ratio":3814.0714285714284,"tree":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2925,"base":16},"right_expr":{"type":"numeric_atoms","value":1075,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3682,"base":16},"right_expr":{"type":"numeric_atoms","value":1364,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2910,"base":16},"right_expr":{"type":"numeric_atoms","value":1883,"base":16}}}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":4189,"base":16},"right_expr":{"type":"numeric_atoms","value":2420,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":4745,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1695,"base":16},"right_expr":{"type":"numeric_atoms","value":3964,"base":16}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"numeric_atoms","value":2072,"base":16},"right_expr":{"type":"numeric_atoms","value":1655,"base":16}}}}},"used_operators":["XhwjNDsVaA","mqXw5SEYmG","uFcxV4UQCh","12rbrZMWeM","mp7IySMOzn","XPYlsWDdGa","NTOWxs364D","rJVOvQCfKK","LRNGc0VcxI","U7g4x0WXJJ","eH2TOUuTDT","2DQ55sFlQl","oacrs7FA3X","3ViojmjbAp"],"dependent_operators":["rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","X99M06cbEe","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx"],"result":"∃⊬-7C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2925","layer":4},{"info":"number node, value=1075","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=1075, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4488","layer":3},{"info":"number node, value=3682","layer":4},{"info":"number node, value=1364","layer":4},{"info":"compute binary expreesion, left_input=3682, right_input=1364, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=2728","layer":3},{"info":"compute binary expreesion, left_input=4488, right_input=2728, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1760","layer":2},{"info":"number node, value=2910","layer":4},{"info":"number node, value=1883","layer":4},{"info":"compute binary expreesion, left_input=2910, right_input=1883, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4914","layer":3},{"info":"compute unary expreesion, input=-4914, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-9828","layer":2},{"info":"compute binary expreesion, left_input=1760, right_input=-9828, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-19785","layer":1},{"info":"number node, value=4189","layer":4},{"info":"number node, value=2420","layer":4},{"info":"compute binary expreesion, left_input=4189, right_input=2420, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=4745","layer":4},{"info":"compute unary expreesion, input=4745, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=9490","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=9490, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1695","layer":4},{"info":"number node, value=3964","layer":4},{"info":"compute binary expreesion, left_input=1695, right_input=3964, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3266","layer":3},{"info":"number node, value=2072","layer":4},{"info":"number node, value=1655","layer":4},{"info":"compute binary expreesion, left_input=2072, right_input=1655, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-1658","layer":3},{"info":"compute binary expreesion, left_input=3266, right_input=-1658, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=160, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=160","layer":1},{"info":"compute binary expreesion, left_input=-19785, right_input=160, op_id = XhwjNDsVaA binary_op_definition= 'None', output=-124","layer":0}],"base":16,"result_base":16,"text":"(∃⊬B6D⋳⪒∃⊬433)⪛(∃⊬E62⇷∃⊬554)⫸⊐(⪲⇎∃⊬B5E⩚⊴⇥∃⊬75B)/(∃⊬105D∑⇟⊟∃⊬974)∀⇚≩(∃⊬1289⪐)⨎(∃⊬69F⪘⫢∃⊬F7C⨵⪆∃⊬818⨓∃⊬677)=∃⊬-7C","reverse_text":"∃⊬-7C=(∃⊬B6D⋳⪒∃⊬433)⪛(∃⊬E62⇷∃⊬554)⫸⊐(⪲⇎∃⊬B5E⩚⊴⇥∃⊬75B)/(∃⊬105D∑⇟⊟∃⊬974)∀⇚≩(∃⊬1289⪐)⨎(∃⊬69F⪘⫢∃⊬F7C⨵⪆∃⊬818⨓∃⊬677)","cot":[{"info":"∃⊬B6D⋳⪒∃⊬433=∃⊬1188","layer":3},{"info":"∃⊬E62⇷∃⊬554=∃⊬AA8","layer":3},{"info":"∃⊬1188⪛∃⊬AA8=∃⊬6E0","layer":2},{"info":"∃⊬B5E⩚⊴⇥∃⊬75B=∃⊬-1332","layer":3},{"info":"⪲⇎∃⊬-1332=∃⊬-2664","layer":2},{"info":"∃⊬6E0⫸⊐∃⊬-2664=∃⊬-4D49","layer":1},{"info":"∃⊬105D∑⇟⊟∃⊬974=NaN","layer":3},{"info":"∃⊬1289⪐=∃⊬2512","layer":3},{"info":"NaN∀⇚≩∃⊬2512=NaN","layer":2},{"info":"∃⊬69F⪘⫢∃⊬F7C=∃⊬CC2","layer":3},{"info":"∃⊬818⨓∃⊬677=∃⊬-67A","layer":3},{"info":"∃⊬CC2⨵⪆∃⊬-67A=∃⊬A0","layer":2},{"info":"NaN⨎∃⊬A0=∃⊬A0","layer":1},{"info":"∃⊬-4D49/∃⊬A0=∃⊬-7C","layer":0}]}
{"id":943,"expression_no_base_symbol":"(((⨑⩽⪐$4305$)⨵⪆$5311$⪄$7038$)⪄(↥$3612$)⫸⊐(⨑⩽⪐$1234$))⇷(⊙↵-(($6561$⊘)≧⫂∧(↩$4230$)))","expression":"(((⨑⩽⪐∃⊬10D1)⨵⪆∃⊬14BF⪄∃⊬1B7E)⪄(↥∃⊬E1C)⫸⊐(⨑⩽⪐∃⊬4D2))⇷(⊙↵-((∃⊬19A1⊘)≧⫂∧(↩∃⊬1086)))","highest_n_order":3,"priority_hierarchical_complexity":7,"normalized_expansion_degree":312892,"operation_count":12,"complexity_ratio":26074.333333333332,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":4305,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5311,"base":16},"right_expr":{"type":"numeric_atoms","value":7038,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"numeric_atoms","value":3612,"base":16}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1234,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6561,"base":16}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"numeric_atoms","value":4230,"base":16}}}}},"used_operators":["mp7IySMOzn","SUmda5xLS4","2DQ55sFlQl","AF7qkfDlqP","mqXw5SEYmG","A8NUZmVepG","oWn0xqSxBt","Ph9nP6C5qx","gu96TGCTMs","jLgFTUHLKL"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","k8jYdgA6NY","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D"],"result":"∃⊬-2","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4305","layer":4},{"info":"compute unary expreesion, input=4305, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-4032","layer":3},{"info":"number node, value=5311","layer":4},{"info":"number node, value=7038","layer":4},{"info":"compute binary expreesion, left_input=5311, right_input=7038, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-810269","layer":3},{"info":"compute binary expreesion, left_input=-4032, right_input=-810269, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"number node, value=3612","layer":4},{"info":"compute unary expreesion, input=3612, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=42","layer":3},{"info":"number node, value=1234","layer":4},{"info":"compute unary expreesion, input=1234, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-961","layer":3},{"info":"compute binary expreesion, left_input=42, right_input=-961, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=84","layer":2},{"info":"compute binary expreesion, left_input=160, right_input=84, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-20105","layer":1},{"info":"number node, value=6561","layer":4},{"info":"compute unary expreesion, input=6561, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"number node, value=4230","layer":4},{"info":"compute unary expreesion, input=4230, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-31060","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-31060, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=31060","layer":2},{"info":"compute unary expreesion, input=31060, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":1},{"info":"compute binary expreesion, left_input=-20105, 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":"(((⨑⩽⪐∃⊬10D1)⨵⪆∃⊬14BF⪄∃⊬1B7E)⪄(↥∃⊬E1C)⫸⊐(⨑⩽⪐∃⊬4D2))⇷(⊙↵-((∃⊬19A1⊘)≧⫂∧(↩∃⊬1086)))=∃⊬-2","reverse_text":"∃⊬-2=(((⨑⩽⪐∃⊬10D1)⨵⪆∃⊬14BF⪄∃⊬1B7E)⪄(↥∃⊬E1C)⫸⊐(⨑⩽⪐∃⊬4D2))⇷(⊙↵-((∃⊬19A1⊘)≧⫂∧(↩∃⊬1086)))","cot":[{"info":"⨑⩽⪐∃⊬10D1=∃⊬-FC0","layer":3},{"info":"∃⊬14BF⪄∃⊬1B7E=∃⊬-C5D1D","layer":3},{"info":"∃⊬-FC0⨵⪆∃⊬-C5D1D=∃⊬A0","layer":2},{"info":"↥∃⊬E1C=∃⊬2A","layer":3},{"info":"⨑⩽⪐∃⊬4D2=∃⊬-3C1","layer":3},{"info":"∃⊬2A⫸⊐∃⊬-3C1=∃⊬54","layer":2},{"info":"∃⊬A0⪄∃⊬54=∃⊬-4E89","layer":1},{"info":"∃⊬19A1⊘=∃⊬0","layer":3},{"info":"↩∃⊬1086=∃⊬-7954","layer":3},{"info":"∃⊬0≧⫂∧∃⊬-7954=∃⊬7954","layer":2},{"info":"⊙↵-∃⊬7954=∃⊬-1","layer":1},{"info":"∃⊬-4E89⇷∃⊬-1=∃⊬-2","layer":0}]}
{"id":944,"expression_no_base_symbol":"(⨰⫟⨤$7554$)⇷($4665$⩚⊴⇥$4024$)+⇶⊼($6097$↬$1103$⪒($3187$⊭∹↮))∲⫓($1599$⩨$2234$)⪘⫢(⨈⫕$8404$)∲⫓$5021$≭$4636$%($7084$⊠≄⫣)","expression":"(⨰⫟⨤∃⊬1D82)⇷(∃⊬1239⩚⊴⇥∃⊬FB8)+⇶⊼(∃⊬17D1↬∃⊬44F⪒(∃⊬C73⊭∹↮))∲⫓(∃⊬63F⩨∃⊬8BA)⪘⫢(⨈⫕∃⊬20D4)∲⫓∃⊬139D≭∃⊬121C%(∃⊬1BAC⊠≄⫣)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":29807,"operation_count":15,"complexity_ratio":1987.1333333333334,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":7554,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":4665,"base":16},"right_expr":{"type":"numeric_atoms","value":4024,"base":16}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":6097,"base":16},"right_expr":{"type":"numeric_atoms","value":1103,"base":16}},"right_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"numeric_atoms","value":3187,"base":16}}}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1599,"base":16},"right_expr":{"type":"numeric_atoms","value":2234,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":8404,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":5021,"base":16},"right_expr":{"type":"numeric_atoms","value":4636,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":7084,"base":16}}}}},"used_operators":["i8ToyICDmI","TpPTUOHfaN","mp7IySMOzn","Tw270M8GLb","NTOWxs364D","f6k1SAg4EE","B5M0gjZbta","xNBdhnnwKq","oacrs7FA3X","2DlMacCsIx","megm06wKyl","k8jYdgA6NY","rxpJgHHUmx","DIvbN7qnHd"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rysDP5nf3Z","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7554","layer":4},{"info":"compute unary expreesion, input=7554, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=4665","layer":4},{"info":"number node, value=4024","layer":4},{"info":"compute binary expreesion, left_input=4665, right_input=4024, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-8810","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-8810, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=6097","layer":4},{"info":"number node, value=1103","layer":4},{"info":"compute binary expreesion, left_input=6097, right_input=1103, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=3187","layer":4},{"info":"compute unary expreesion, input=3187, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=6374","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=6374, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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=1599","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=2234, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"number node, value=8404","layer":4},{"info":"compute unary expreesion, input=8404, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=-3, right_input=-21, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":2},{"info":"number node, value=5021","layer":4},{"info":"number node, value=4636","layer":4},{"info":"compute binary expreesion, left_input=5021, right_input=4636, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7084","layer":4},{"info":"compute unary expreesion, input=7084, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"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":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":"(⨰⫟⨤∃⊬1D82)⇷(∃⊬1239⩚⊴⇥∃⊬FB8)+⇶⊼(∃⊬17D1↬∃⊬44F⪒(∃⊬C73⊭∹↮))∲⫓(∃⊬63F⩨∃⊬8BA)⪘⫢(⨈⫕∃⊬20D4)∲⫓∃⊬139D≭∃⊬121C%(∃⊬1BAC⊠≄⫣)=NaN","reverse_text":"NaN=(⨰⫟⨤∃⊬1D82)⇷(∃⊬1239⩚⊴⇥∃⊬FB8)+⇶⊼(∃⊬17D1↬∃⊬44F⪒(∃⊬C73⊭∹↮))∲⫓(∃⊬63F⩨∃⊬8BA)⪘⫢(⨈⫕∃⊬20D4)∲⫓∃⊬139D≭∃⊬121C%(∃⊬1BAC⊠≄⫣)","cot":[{"info":"⨰⫟⨤∃⊬1D82=NaN","layer":3},{"info":"∃⊬1239⩚⊴⇥∃⊬FB8=∃⊬-226A","layer":3},{"info":"NaN⇷∃⊬-226A=NaN","layer":2},{"info":"∃⊬17D1↬∃⊬44F=NaN","layer":3},{"info":"∃⊬C73⊭∹↮=∃⊬18E6","layer":3},{"info":"NaN⪒∃⊬18E6=NaN","layer":2},{"info":"NaN+⇶⊼NaN=NaN","layer":1},{"info":"∃⊬63F⩨∃⊬8BA=∃⊬-3","layer":3},{"info":"⨈⫕∃⊬20D4=∃⊬-15","layer":3},{"info":"∃⊬-3⪘⫢∃⊬-15=∃⊬0","layer":2},{"info":"∃⊬139D≭∃⊬121C=NaN","layer":3},{"info":"∃⊬1BAC⊠≄⫣=∃⊬0","layer":3},{"info":"NaN%∃⊬0=NaN","layer":2},{"info":"∃⊬0∲⫓NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":945,"expression_no_base_symbol":"((($1269$⪨≂$1269$)⪒$1540$⋓$4038$)∀⇚≩(⫛⫱⨽(≤/$2674$)))⨟⋌⩍(($2195$⪒$8514$)∑⇟⊟(-$5681$)⪨≂(∂$5693$)⫸⊐$4822$⋳⪒$2331$)","expression":"(((∃⊬4F5⪨≂∃⊬4F5)⪒∃⊬604⋓∃⊬FC6)∀⇚≩(⫛⫱⨽(≤/∃⊬A72)))⨟⋌⩍((∃⊬893⪒∃⊬2142)∑⇟⊟(-∃⊬1631)⪨≂(∂∃⊬163D)⫸⊐∃⊬12D6⋳⪒∃⊬91B)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":2181,"operation_count":14,"complexity_ratio":155.78571428571428,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1269,"base":16},"right_expr":{"type":"numeric_atoms","value":1269,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1540,"base":16},"right_expr":{"type":"numeric_atoms","value":4038,"base":16}}},"right_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"numeric_atoms","value":2674,"base":16}}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2195,"base":16},"right_expr":{"type":"numeric_atoms","value":8514,"base":16}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":5681,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":5693,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4822,"base":16},"right_expr":{"type":"numeric_atoms","value":2331,"base":16}}}}},"used_operators":["rGHVDoGpnC","LRNGc0VcxI","f6k1SAg4EE","sdazOOVcIp","T2fj7uvVaJ","DlLNRPXxWL","eLAdDNolq6","U7g4x0WXJJ","t8gj7n24qd","mqXw5SEYmG","Uaa54Peajs","12rbrZMWeM"],"dependent_operators":["Tcnh7f0tEr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rGHVDoGpnC","rysDP5nf3Z","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1269","layer":4},{"info":"number node, value=1269","layer":4},{"info":"compute binary expreesion, left_input=1269, right_input=1269, 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=102","layer":3},{"info":"number node, value=1540","layer":4},{"info":"number node, value=4038","layer":4},{"info":"compute binary expreesion, left_input=1540, right_input=4038, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=102, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-102","layer":2},{"info":"number node, value=2674","layer":4},{"info":"compute unary expreesion, input=2674, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=-2190","layer":3},{"info":"compute unary expreesion, input=-2190, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-102, 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=nan","layer":1},{"info":"number node, value=2195","layer":4},{"info":"number node, value=8514","layer":4},{"info":"compute binary expreesion, left_input=2195, right_input=8514, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-10709","layer":3},{"info":"number node, value=5681","layer":4},{"info":"compute unary expreesion, input=5681, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-5681","layer":3},{"info":"compute binary expreesion, left_input=-10709, right_input=-5681, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"number node, value=5693","layer":4},{"info":"compute unary expreesion, input=5693, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=4822","layer":4},{"info":"number node, value=2331","layer":4},{"info":"compute binary expreesion, left_input=4822, right_input=2331, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=7026","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=7026, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬4F5⪨≂∃⊬4F5)⪒∃⊬604⋓∃⊬FC6)∀⇚≩(⫛⫱⨽(≤/∃⊬A72)))⨟⋌⩍((∃⊬893⪒∃⊬2142)∑⇟⊟(-∃⊬1631)⪨≂(∂∃⊬163D)⫸⊐∃⊬12D6⋳⪒∃⊬91B)=NaN","reverse_text":"NaN=(((∃⊬4F5⪨≂∃⊬4F5)⪒∃⊬604⋓∃⊬FC6)∀⇚≩(⫛⫱⨽(≤/∃⊬A72)))⨟⋌⩍((∃⊬893⪒∃⊬2142)∑⇟⊟(-∃⊬1631)⪨≂(∂∃⊬163D)⫸⊐∃⊬12D6⋳⪒∃⊬91B)","cot":[{"info":"∃⊬4F5⪨≂∃⊬4F5=∃⊬66","layer":3},{"info":"∃⊬604⋓∃⊬FC6=∃⊬0","layer":3},{"info":"∃⊬66⪒∃⊬0=∃⊬-66","layer":2},{"info":"≤/∃⊬A72=∃⊬-88E","layer":3},{"info":"⫛⫱⨽∃⊬-88E=∃⊬0","layer":2},{"info":"∃⊬-66∀⇚≩∃⊬0=NaN","layer":1},{"info":"∃⊬893⪒∃⊬2142=∃⊬-29D5","layer":3},{"info":"-∃⊬1631=∃⊬-1631","layer":3},{"info":"∃⊬-29D5∑⇟⊟∃⊬-1631=NaN","layer":2},{"info":"∂∃⊬163D=NaN","layer":3},{"info":"∃⊬12D6⋳⪒∃⊬91B=∃⊬1B72","layer":3},{"info":"NaN⫸⊐∃⊬1B72=NaN","layer":2},{"info":"NaN⪨≂NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":946,"expression_no_base_symbol":"(↽≂$4787$)⇷($3392$⋷$8651$)⨰(↔(↣≠⋷$1030$))↙($1266$⇷$2943$)≹⇙⪍($5534$≹⇙⪍$6614$)⨪↰⇹(⩦⩻⨪$5179$≎⊠⪸$1029$)","expression":"(↽≂∃⊬12B3)⇷(∃⊬D40⋷∃⊬21CB)⨰(↔(↣≠⋷∃⊬406))↙(∃⊬4F2⇷∃⊬B7F)≹⇙⪍(∃⊬159E≹⇙⪍∃⊬19D6)⨪↰⇹(⩦⩻⨪∃⊬143B≎⊠⪸∃⊬405)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":152089,"operation_count":13,"complexity_ratio":11699.153846153846,"tree":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"numeric_atoms","value":4787,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3392,"base":16},"right_expr":{"type":"numeric_atoms","value":8651,"base":16}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":1030,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":1266,"base":16},"right_expr":{"type":"numeric_atoms","value":2943,"base":16}},"right_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"numeric_atoms","value":5534,"base":16},"right_expr":{"type":"numeric_atoms","value":6614,"base":16}}},"right_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":5179,"base":16},"right_expr":{"type":"numeric_atoms","value":1029,"base":16}}}}},"used_operators":["yyfyN0ffXY","eewbuw0ToL","mp7IySMOzn","u6S6b8DprG","23Mk6UjR3U","ruOEQAzv1W","Asc51vEJeQ","tmPS8pqC7x","AHs5Up7iyr","2td37pGCOC","bJkvcejdHO"],"dependent_operators":["tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","XhwjNDsVaA","AHs5Up7iyr","rJVOvQCfKK","dWAJyo7jo9","rysDP5nf3Z","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4787","layer":4},{"info":"compute unary expreesion, input=4787, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9574","layer":3},{"info":"number node, value=3392","layer":4},{"info":"number node, value=8651","layer":4},{"info":"compute binary expreesion, left_input=3392, right_input=8651, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=13910","layer":3},{"info":"compute binary expreesion, left_input=-9574, right_input=13910, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=27820","layer":2},{"info":"number node, value=1030","layer":4},{"info":"compute unary expreesion, input=1030, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":2},{"info":"compute binary expreesion, left_input=27820, right_input=-134, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=27964","layer":1},{"info":"number node, value=1266","layer":4},{"info":"number node, value=2943","layer":4},{"info":"compute binary expreesion, left_input=1266, right_input=2943, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=5886","layer":3},{"info":"number node, value=5534","layer":4},{"info":"number node, value=6614","layer":4},{"info":"compute binary expreesion, left_input=5534, right_input=6614, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=5886, right_input=nan, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5179","layer":4},{"info":"number node, value=1029","layer":4},{"info":"compute binary expreesion, left_input=5179, right_input=1029, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1340888","layer":3},{"info":"compute unary expreesion, input=1340888, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=1340888","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1340888, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=27964, 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":"(↽≂∃⊬12B3)⇷(∃⊬D40⋷∃⊬21CB)⨰(↔(↣≠⋷∃⊬406))↙(∃⊬4F2⇷∃⊬B7F)≹⇙⪍(∃⊬159E≹⇙⪍∃⊬19D6)⨪↰⇹(⩦⩻⨪∃⊬143B≎⊠⪸∃⊬405)=NaN","reverse_text":"NaN=(↽≂∃⊬12B3)⇷(∃⊬D40⋷∃⊬21CB)⨰(↔(↣≠⋷∃⊬406))↙(∃⊬4F2⇷∃⊬B7F)≹⇙⪍(∃⊬159E≹⇙⪍∃⊬19D6)⨪↰⇹(⩦⩻⨪∃⊬143B≎⊠⪸∃⊬405)","cot":[{"info":"↽≂∃⊬12B3=∃⊬-2566","layer":3},{"info":"∃⊬D40⋷∃⊬21CB=∃⊬3656","layer":3},{"info":"∃⊬-2566⇷∃⊬3656=∃⊬6CAC","layer":2},{"info":"↣≠⋷∃⊬406=NaN","layer":3},{"info":"↔NaN=∃⊬-86","layer":2},{"info":"∃⊬6CAC⨰∃⊬-86=∃⊬6D3C","layer":1},{"info":"∃⊬4F2⇷∃⊬B7F=∃⊬16FE","layer":3},{"info":"∃⊬159E≹⇙⪍∃⊬19D6=NaN","layer":3},{"info":"∃⊬16FE≹⇙⪍NaN=NaN","layer":2},{"info":"∃⊬143B≎⊠⪸∃⊬405=∃⊬1475D8","layer":3},{"info":"⩦⩻⨪∃⊬1475D8=∃⊬1475D8","layer":2},{"info":"NaN⨪↰⇹∃⊬1475D8=NaN","layer":1},{"info":"∃⊬6D3C↙NaN=NaN","layer":0}]}
{"id":947,"expression_no_base_symbol":"(⊄⩳↩($4235$⋳⪒$3986$⇼⇔∾$1840$⪢$4007$))⨐⩸⫘(⨵≀≌$4456$⊴$1252$)⨽$1839$⊴$3251$⩚⊴⇥$4525$⨰$1637$","expression":"(⊄⩳↩(∃⊬108B⋳⪒∃⊬F92⇼⇔∾∃⊬730⪢∃⊬FA7))⨐⩸⫘(⨵≀≌∃⊬1168⊴∃⊬4E4)⨽∃⊬72F⊴∃⊬CB3⩚⊴⇥∃⊬11AD⨰∃⊬665","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":9442,"operation_count":11,"complexity_ratio":858.3636363636364,"tree":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":4235,"base":16},"right_expr":{"type":"numeric_atoms","value":3986,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1840,"base":16},"right_expr":{"type":"numeric_atoms","value":4007,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":4456,"base":16},"right_expr":{"type":"numeric_atoms","value":1252,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1839,"base":16},"right_expr":{"type":"numeric_atoms","value":3251,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":4525,"base":16},"right_expr":{"type":"numeric_atoms","value":1637,"base":16}}}}},"used_operators":["fu6greOZ01","8w2t5hMYqp","tifHPKVTfV","12rbrZMWeM","dWAJyo7jo9","8HhzD0ZcuI","srAu1WTS94","Nsiff2A1zJ","NTOWxs364D","eewbuw0ToL"],"dependent_operators":["3ViojmjbAp","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=4235","layer":4},{"info":"number node, value=3986","layer":4},{"info":"compute binary expreesion, left_input=4235, right_input=3986, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=4197","layer":3},{"info":"number node, value=1840","layer":4},{"info":"number node, value=4007","layer":4},{"info":"compute binary expreesion, left_input=1840, right_input=4007, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=4197, right_input=nan, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=nan","layer":1},{"info":"number node, value=4456","layer":4},{"info":"number node, value=1252","layer":4},{"info":"compute binary expreesion, left_input=4456, right_input=1252, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=nan","layer":2},{"info":"number node, value=1839","layer":4},{"info":"number node, value=3251","layer":4},{"info":"compute binary expreesion, left_input=1839, right_input=3251, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=4525","layer":4},{"info":"number node, value=1637","layer":4},{"info":"compute binary expreesion, left_input=4525, right_input=1637, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2898","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2898, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⊄⩳↩(∃⊬108B⋳⪒∃⊬F92⇼⇔∾∃⊬730⪢∃⊬FA7))⨐⩸⫘(⨵≀≌∃⊬1168⊴∃⊬4E4)⨽∃⊬72F⊴∃⊬CB3⩚⊴⇥∃⊬11AD⨰∃⊬665=NaN","reverse_text":"NaN=(⊄⩳↩(∃⊬108B⋳⪒∃⊬F92⇼⇔∾∃⊬730⪢∃⊬FA7))⨐⩸⫘(⨵≀≌∃⊬1168⊴∃⊬4E4)⨽∃⊬72F⊴∃⊬CB3⩚⊴⇥∃⊬11AD⨰∃⊬665","cot":[{"info":"∃⊬108B⋳⪒∃⊬F92=∃⊬1065","layer":3},{"info":"∃⊬730⪢∃⊬FA7=NaN","layer":3},{"info":"∃⊬1065⇼⇔∾NaN=NaN","layer":2},{"info":"⊄⩳↩NaN=NaN","layer":1},{"info":"∃⊬1168⊴∃⊬4E4=NaN","layer":3},{"info":"⨵≀≌NaN=NaN","layer":2},{"info":"∃⊬72F⊴∃⊬CB3=NaN","layer":3},{"info":"∃⊬11AD⨰∃⊬665=∃⊬B52","layer":3},{"info":"NaN⩚⊴⇥∃⊬B52=NaN","layer":2},{"info":"NaN⨽NaN=NaN","layer":1},{"info":"NaN⨐⩸⫘NaN=NaN","layer":0}]}
{"id":948,"expression_no_base_symbol":"($6588$≎⊠⪸$4706$⫥∨⫟$1114$⋝⋈⪟$1985$)≧⫂∧(⨑⩽⪐$1277$)⇷(≉$1128$)⊉≛↸($1124$⋓$2262$⩷∴(↔$2609$)⩨($1509$↬$1478$%$7740$⋳⪒$1564$))","expression":"(∃⊬19BC≎⊠⪸∃⊬1262⫥∨⫟∃⊬45A⋝⋈⪟∃⊬7C1)≧⫂∧(⨑⩽⪐∃⊬4FD)⇷(≉∃⊬468)⊉≛↸(∃⊬464⋓∃⊬8D6⩷∴(↔∃⊬A31)⩨(∃⊬5E5↬∃⊬5C6%∃⊬1E3C⋳⪒∃⊬61C))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14537,"operation_count":15,"complexity_ratio":969.1333333333333,"tree":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":6588,"base":16},"right_expr":{"type":"numeric_atoms","value":4706,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":1114,"base":16},"right_expr":{"type":"numeric_atoms","value":1985,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":1277,"base":16}},"right_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":1128,"base":16}}}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":1124,"base":16},"right_expr":{"type":"numeric_atoms","value":2262,"base":16}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":2609,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1509,"base":16},"right_expr":{"type":"numeric_atoms","value":1478,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":7740,"base":16},"right_expr":{"type":"numeric_atoms","value":1564,"base":16}}}}},"used_operators":["DZ8iAZOCBD","Ph9nP6C5qx","KYD54nUTWz","bJkvcejdHO","2DDjHMKMc0","mp7IySMOzn","AF7qkfDlqP","e1ybzncUwg","2DlMacCsIx","9FxExcQeMw","T2fj7uvVaJ","ruOEQAzv1W","k8jYdgA6NY","B5M0gjZbta","12rbrZMWeM"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rysDP5nf3Z","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","rysDP5nf3Z","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬163A","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6588","layer":4},{"info":"number node, value=4706","layer":4},{"info":"compute binary expreesion, left_input=6588, right_input=4706, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=1705819","layer":3},{"info":"number node, value=1114","layer":4},{"info":"number node, value=1985","layer":4},{"info":"compute binary expreesion, left_input=1114, right_input=1985, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=1114","layer":3},{"info":"compute binary expreesion, left_input=1705819, right_input=1114, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=1277","layer":4},{"info":"compute unary expreesion, input=1277, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-1004","layer":3},{"info":"number node, value=1128","layer":4},{"info":"compute unary expreesion, input=1128, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=1659","layer":3},{"info":"compute binary expreesion, left_input=-1004, right_input=1659, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=3318","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=3318, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=2845","layer":1},{"info":"number node, value=1124","layer":4},{"info":"number node, value=2262","layer":4},{"info":"compute binary expreesion, left_input=1124, right_input=2262, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"number node, value=2609","layer":4},{"info":"compute unary expreesion, input=2609, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-2336","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2336, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=4640","layer":2},{"info":"number node, value=1509","layer":4},{"info":"number node, value=1478","layer":4},{"info":"compute binary expreesion, left_input=1509, right_input=1478, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=7740","layer":4},{"info":"number node, value=1564","layer":4},{"info":"compute binary expreesion, left_input=7740, right_input=1564, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=13629","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=13629, op_id = k8jYdgA6NY binary_op_definition= 'None', output=nan","layer":2},{"info":"compute binary expreesion, left_input=4640, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=2845, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=5690","layer":0}],"base":16,"result_base":16,"text":"(∃⊬19BC≎⊠⪸∃⊬1262⫥∨⫟∃⊬45A⋝⋈⪟∃⊬7C1)≧⫂∧(⨑⩽⪐∃⊬4FD)⇷(≉∃⊬468)⊉≛↸(∃⊬464⋓∃⊬8D6⩷∴(↔∃⊬A31)⩨(∃⊬5E5↬∃⊬5C6%∃⊬1E3C⋳⪒∃⊬61C))=∃⊬163A","reverse_text":"∃⊬163A=(∃⊬19BC≎⊠⪸∃⊬1262⫥∨⫟∃⊬45A⋝⋈⪟∃⊬7C1)≧⫂∧(⨑⩽⪐∃⊬4FD)⇷(≉∃⊬468)⊉≛↸(∃⊬464⋓∃⊬8D6⩷∴(↔∃⊬A31)⩨(∃⊬5E5↬∃⊬5C6%∃⊬1E3C⋳⪒∃⊬61C))","cot":[{"info":"∃⊬19BC≎⊠⪸∃⊬1262=∃⊬1A075B","layer":3},{"info":"∃⊬45A⋝⋈⪟∃⊬7C1=∃⊬45A","layer":3},{"info":"∃⊬1A075B⫥∨⫟∃⊬45A=NaN","layer":2},{"info":"⨑⩽⪐∃⊬4FD=∃⊬-3EC","layer":3},{"info":"≉∃⊬468=∃⊬67B","layer":3},{"info":"∃⊬-3EC⇷∃⊬67B=∃⊬CF6","layer":2},{"info":"NaN≧⫂∧∃⊬CF6=∃⊬B1D","layer":1},{"info":"∃⊬464⋓∃⊬8D6=∃⊬0","layer":3},{"info":"↔∃⊬A31=∃⊬-920","layer":3},{"info":"∃⊬0⩷∴∃⊬-920=∃⊬1220","layer":2},{"info":"∃⊬5E5↬∃⊬5C6=NaN","layer":3},{"info":"∃⊬1E3C⋳⪒∃⊬61C=∃⊬353D","layer":3},{"info":"NaN%∃⊬353D=NaN","layer":2},{"info":"∃⊬1220⩨NaN=NaN","layer":1},{"info":"∃⊬B1D⊉≛↸NaN=∃⊬163A","layer":0}]}
{"id":949,"expression_no_base_symbol":"≉(($3693$⇋≉)∼($1357$⫸⊐$4203$)∲⫓(($8354$⫡⨏$2031$)↛⩡⫤))","expression":"≉((∃⊬E6D⇋≉)∼(∃⊬54D⫸⊐∃⊬106B)∲⫓((∃⊬20A2⫡⨏∃⊬7EF)↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":140159,"operation_count":7,"complexity_ratio":20022.714285714286,"tree":{"type":"unary","operator":"≉","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⇋≉","unary_expr":{"type":"numeric_atoms","value":3693,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1357,"base":16},"right_expr":{"type":"numeric_atoms","value":4203,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":8354,"base":16},"right_expr":{"type":"numeric_atoms","value":2031,"base":16}}}}},"used_operators":["e1ybzncUwg","i8ToyICDmI","DyGG3AbaNP","XIabStNQrY","mqXw5SEYmG","FU0Cs4j7VP","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3693","layer":4},{"info":"compute unary expreesion, input=3693, op_id = XIabStNQrY, unary_op_definition = 'a⇋≉ = { ((a-98)-(-a)) }', output=7288","layer":3},{"info":"number node, value=1357","layer":4},{"info":"number node, value=4203","layer":4},{"info":"compute binary expreesion, left_input=1357, right_input=4203, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=16687","layer":3},{"info":"compute binary expreesion, left_input=7288, right_input=16687, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"number node, value=8354","layer":4},{"info":"number node, value=2031","layer":4},{"info":"compute binary expreesion, left_input=8354, right_input=2031, 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=46615","layer":3},{"info":"compute unary expreesion, input=46615, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-7034954","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-7034954, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≉((∃⊬E6D⇋≉)∼(∃⊬54D⫸⊐∃⊬106B)∲⫓((∃⊬20A2⫡⨏∃⊬7EF)↛⩡⫤))=NaN","reverse_text":"NaN=≉((∃⊬E6D⇋≉)∼(∃⊬54D⫸⊐∃⊬106B)∲⫓((∃⊬20A2⫡⨏∃⊬7EF)↛⩡⫤))","cot":[{"info":"∃⊬E6D⇋≉=∃⊬1C78","layer":3},{"info":"∃⊬54D⫸⊐∃⊬106B=∃⊬412F","layer":3},{"info":"∃⊬1C78∼∃⊬412F=NaN","layer":2},{"info":"∃⊬20A2⫡⨏∃⊬7EF=∃⊬B617","layer":3},{"info":"∃⊬B617↛⩡⫤=∃⊬-6B584A","layer":2},{"info":"NaN∲⫓∃⊬-6B584A=NaN","layer":1},{"info":"≉NaN=NaN","layer":0}]}
{"id":950,"expression_no_base_symbol":"((↔$6935$)⋓($3479$⫥∨⫟$4298$)⊠≄⫣)≦≮≮","expression":"((↔∃⊬1B17)⋓(∃⊬D97⫥∨⫟∃⊬10CA)⊠≄⫣)≦≮≮","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":180,"operation_count":5,"complexity_ratio":36.0,"tree":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"numeric_atoms","value":6935,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3479,"base":16},"right_expr":{"type":"numeric_atoms","value":4298,"base":16}}}}},"used_operators":["D4vGDi5EA2","DIvbN7qnHd","T2fj7uvVaJ","ruOEQAzv1W","KYD54nUTWz"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6935","layer":4},{"info":"compute unary expreesion, input=6935, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-6662","layer":3},{"info":"number node, value=3479","layer":4},{"info":"number node, value=4298","layer":4},{"info":"compute binary expreesion, left_input=3479, right_input=4298, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-6662, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((↔∃⊬1B17)⋓(∃⊬D97⫥∨⫟∃⊬10CA)⊠≄⫣)≦≮≮=NaN","reverse_text":"NaN=((↔∃⊬1B17)⋓(∃⊬D97⫥∨⫟∃⊬10CA)⊠≄⫣)≦≮≮","cot":[{"info":"↔∃⊬1B17=∃⊬-1A06","layer":3},{"info":"∃⊬D97⫥∨⫟∃⊬10CA=NaN","layer":3},{"info":"∃⊬-1A06⋓NaN=NaN","layer":2},{"info":"NaN⊠≄⫣=NaN","layer":1},{"info":"NaN≦≮≮=NaN","layer":0}]}
{"id":951,"expression_no_base_symbol":"((($2817$⫡⨏$3703$)⋫)⋝⋈⪟((⨵≀≌$1368$)⨐⩸⫘$9124$⋥≓≎$7053$))⪘⫢($1812$⩷∴$5204$⋓($1441$≎⊠⪸$1157$))⇷((⨞⊢$3149$)+$1289$⪒$3724$)","expression":"(((∃⊬B01⫡⨏∃⊬E77)⋫)⋝⋈⪟((⨵≀≌∃⊬558)⨐⩸⫘∃⊬23A4⋥≓≎∃⊬1B8D))⪘⫢(∃⊬714⩷∴∃⊬1454⋓(∃⊬5A1≎⊠⪸∃⊬485))⇷((⨞⊢∃⊬C4D)+∃⊬509⪒∃⊬E8C)","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":22605,"operation_count":14,"complexity_ratio":1614.642857142857,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2817,"base":16},"right_expr":{"type":"numeric_atoms","value":3703,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"numeric_atoms","value":1368,"base":16}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":9124,"base":16},"right_expr":{"type":"numeric_atoms","value":7053,"base":16}}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1812,"base":16},"right_expr":{"type":"numeric_atoms","value":5204,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1441,"base":16},"right_expr":{"type":"numeric_atoms","value":1157,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"numeric_atoms","value":3149,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1289,"base":16},"right_expr":{"type":"numeric_atoms","value":3724,"base":16}}}}},"used_operators":["oacrs7FA3X","2DDjHMKMc0","JL8yIekQnl","QMFrweE19q","fu6greOZ01","srAu1WTS94","Qy55tPpLXF","mp7IySMOzn","T2fj7uvVaJ","9FxExcQeMw","bJkvcejdHO","W4YGzv6Whe","xUOZtlo3hN","f6k1SAg4EE"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","rysDP5nf3Z","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2817","layer":4},{"info":"number node, value=3703","layer":4},{"info":"compute binary expreesion, left_input=2817, right_input=3703, 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=22274","layer":3},{"info":"compute unary expreesion, input=22274, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=22274","layer":2},{"info":"number node, value=1368","layer":4},{"info":"compute unary expreesion, input=1368, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=-4104","layer":3},{"info":"number node, value=9124","layer":4},{"info":"number node, value=7053","layer":4},{"info":"compute binary expreesion, left_input=9124, right_input=7053, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=5015","layer":3},{"info":"compute binary expreesion, left_input=-4104, right_input=5015, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=22274, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"number node, value=1812","layer":4},{"info":"number node, value=5204","layer":4},{"info":"compute binary expreesion, left_input=1812, right_input=5204, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6816","layer":3},{"info":"number node, value=1441","layer":4},{"info":"number node, value=1157","layer":4},{"info":"compute binary expreesion, left_input=1441, right_input=1157, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=372746","layer":3},{"info":"compute binary expreesion, left_input=-6816, right_input=372746, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=3149","layer":4},{"info":"compute unary expreesion, input=3149, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3323","layer":3},{"info":"number node, value=1289","layer":4},{"info":"number node, value=3724","layer":4},{"info":"compute binary expreesion, left_input=1289, right_input=3724, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5013","layer":3},{"info":"compute binary expreesion, left_input=-3323, right_input=-5013, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-8336","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-8336, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', 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":"(((∃⊬B01⫡⨏∃⊬E77)⋫)⋝⋈⪟((⨵≀≌∃⊬558)⨐⩸⫘∃⊬23A4⋥≓≎∃⊬1B8D))⪘⫢(∃⊬714⩷∴∃⊬1454⋓(∃⊬5A1≎⊠⪸∃⊬485))⇷((⨞⊢∃⊬C4D)+∃⊬509⪒∃⊬E8C)=NaN","reverse_text":"NaN=(((∃⊬B01⫡⨏∃⊬E77)⋫)⋝⋈⪟((⨵≀≌∃⊬558)⨐⩸⫘∃⊬23A4⋥≓≎∃⊬1B8D))⪘⫢(∃⊬714⩷∴∃⊬1454⋓(∃⊬5A1≎⊠⪸∃⊬485))⇷((⨞⊢∃⊬C4D)+∃⊬509⪒∃⊬E8C)","cot":[{"info":"∃⊬B01⫡⨏∃⊬E77=∃⊬5702","layer":3},{"info":"∃⊬5702⋫=∃⊬5702","layer":2},{"info":"⨵≀≌∃⊬558=∃⊬-1008","layer":3},{"info":"∃⊬23A4⋥≓≎∃⊬1B8D=∃⊬1397","layer":3},{"info":"∃⊬-1008⨐⩸⫘∃⊬1397=NaN","layer":2},{"info":"∃⊬5702⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬714⩷∴∃⊬1454=∃⊬-1AA0","layer":3},{"info":"∃⊬5A1≎⊠⪸∃⊬485=∃⊬5B00A","layer":3},{"info":"∃⊬-1AA0⋓∃⊬5B00A=∃⊬0","layer":2},{"info":"⨞⊢∃⊬C4D=∃⊬-CFB","layer":3},{"info":"∃⊬509⪒∃⊬E8C=∃⊬-1395","layer":3},{"info":"∃⊬-CFB+∃⊬-1395=∃⊬-2090","layer":2},{"info":"∃⊬0⇷∃⊬-2090=∃⊬0","layer":1},{"info":"NaN⪘⫢∃⊬0=NaN","layer":0}]}
{"id":952,"expression_no_base_symbol":"(($2699$+$5367$)⊉≛↸($2670$∧))≧⫂∧(($1599$⋳⪒$1929$)≭($6302$⨐⩸⫘$1961$))⩚⊴⇥(⨵≀≌(($1483$⪐)⪒$3690$%$2942$))","expression":"((∃⊬A8B+∃⊬14F7)⊉≛↸(∃⊬A6E∧))≧⫂∧((∃⊬63F⋳⪒∃⊬789)≭(∃⊬189E⨐⩸⫘∃⊬7A9))⩚⊴⇥(⨵≀≌((∃⊬5CB⪐)⪒∃⊬E6A%∃⊬B7E))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":3747,"operation_count":12,"complexity_ratio":312.25,"tree":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":2699,"base":16},"right_expr":{"type":"numeric_atoms","value":5367,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":2670,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":1599,"base":16},"right_expr":{"type":"numeric_atoms","value":1929,"base":16}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":6302,"base":16},"right_expr":{"type":"numeric_atoms","value":1961,"base":16}}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1483,"base":16}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":3690,"base":16},"right_expr":{"type":"numeric_atoms","value":2942,"base":16}}}}},"used_operators":["NTOWxs364D","Ph9nP6C5qx","DZ8iAZOCBD","W4YGzv6Whe","z63VuFQld9","rxpJgHHUmx","12rbrZMWeM","fu6greOZ01","srAu1WTS94","f6k1SAg4EE","eH2TOUuTDT","k8jYdgA6NY"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2699","layer":4},{"info":"number node, value=5367","layer":4},{"info":"compute binary expreesion, left_input=2699, right_input=5367, op_id = W4YGzv6Whe binary_op_definition= 'None', output=8066","layer":3},{"info":"number node, value=2670","layer":4},{"info":"compute unary expreesion, input=2670, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=8066, right_input=nan, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=16132","layer":2},{"info":"number node, value=1599","layer":4},{"info":"number node, value=1929","layer":4},{"info":"compute binary expreesion, left_input=1599, right_input=1929, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=982","layer":3},{"info":"number node, value=6302","layer":4},{"info":"number node, value=1961","layer":4},{"info":"compute binary expreesion, left_input=6302, right_input=1961, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=982, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=16132, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1483","layer":4},{"info":"compute unary expreesion, input=1483, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2966","layer":3},{"info":"number node, value=3690","layer":4},{"info":"number node, value=2942","layer":4},{"info":"compute binary expreesion, left_input=3690, right_input=2942, op_id = k8jYdgA6NY binary_op_definition= 'None', output=748","layer":3},{"info":"compute binary expreesion, left_input=2966, right_input=748, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3714","layer":2},{"info":"compute unary expreesion, input=-3714, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=13793796","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=13793796, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬A8B+∃⊬14F7)⊉≛↸(∃⊬A6E∧))≧⫂∧((∃⊬63F⋳⪒∃⊬789)≭(∃⊬189E⨐⩸⫘∃⊬7A9))⩚⊴⇥(⨵≀≌((∃⊬5CB⪐)⪒∃⊬E6A%∃⊬B7E))=NaN","reverse_text":"NaN=((∃⊬A8B+∃⊬14F7)⊉≛↸(∃⊬A6E∧))≧⫂∧((∃⊬63F⋳⪒∃⊬789)≭(∃⊬189E⨐⩸⫘∃⊬7A9))⩚⊴⇥(⨵≀≌((∃⊬5CB⪐)⪒∃⊬E6A%∃⊬B7E))","cot":[{"info":"∃⊬A8B+∃⊬14F7=∃⊬1F82","layer":3},{"info":"∃⊬A6E∧=NaN","layer":3},{"info":"∃⊬1F82⊉≛↸NaN=∃⊬3F04","layer":2},{"info":"∃⊬63F⋳⪒∃⊬789=∃⊬3D6","layer":3},{"info":"∃⊬189E⨐⩸⫘∃⊬7A9=NaN","layer":3},{"info":"∃⊬3D6≭NaN=NaN","layer":2},{"info":"∃⊬3F04≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬5CB⪐=∃⊬B96","layer":3},{"info":"∃⊬E6A%∃⊬B7E=∃⊬2EC","layer":3},{"info":"∃⊬B96⪒∃⊬2EC=∃⊬-E82","layer":2},{"info":"⨵≀≌∃⊬-E82=∃⊬D27A04","layer":1},{"info":"NaN⩚⊴⇥∃⊬D27A04=NaN","layer":0}]}
{"id":953,"expression_no_base_symbol":"(⊥$5836$)↺(↯⪼$4967$)⪄($7925$⨽$3525$)≭$3608$↬$5002$*($1296$⨸⪁$3148$)⪘⫢($1054$↛⩡⫤)≎⊠⪸(($1078$≫≃)⩚⊴⇥$2865$⊴$1442$)","expression":"(⊥∃⊬16CC)↺(↯⪼∃⊬1367)⪄(∃⊬1EF5⨽∃⊬DC5)≭∃⊬E18↬∃⊬138A*(∃⊬510⨸⪁∃⊬C4C)⪘⫢(∃⊬41E↛⩡⫤)≎⊠⪸((∃⊬436≫≃)⩚⊴⇥∃⊬B31⊴∃⊬5A2)","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":13195,"operation_count":15,"complexity_ratio":879.6666666666666,"tree":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":5836,"base":16}},"right_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":4967,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":7925,"base":16},"right_expr":{"type":"numeric_atoms","value":3525,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3608,"base":16},"right_expr":{"type":"numeric_atoms","value":5002,"base":16}}}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":1296,"base":16},"right_expr":{"type":"numeric_atoms","value":3148,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1054,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1078,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":2865,"base":16},"right_expr":{"type":"numeric_atoms","value":1442,"base":16}}}}},"used_operators":["9HNa5Wba9A","SUmda5xLS4","7j4O788W3g","Q3PJZHRvZv","8jW3W4yZS5","rxpJgHHUmx","8HhzD0ZcuI","B5M0gjZbta","bJkvcejdHO","oacrs7FA3X","g55IO6H4Gj","FU0Cs4j7VP","NTOWxs364D","X99M06cbEe","Nsiff2A1zJ"],"dependent_operators":["W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","fu6greOZ01","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬41161","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5836","layer":4},{"info":"compute unary expreesion, input=5836, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"number node, value=4967","layer":4},{"info":"compute unary expreesion, input=4967, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-21, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=-21","layer":2},{"info":"number node, value=7925","layer":4},{"info":"number node, value=3525","layer":4},{"info":"compute binary expreesion, left_input=7925, right_input=3525, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-188426136","layer":3},{"info":"number node, value=3608","layer":4},{"info":"number node, value=5002","layer":4},{"info":"compute binary expreesion, left_input=3608, right_input=5002, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-188426136, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=3979","layer":1},{"info":"number node, value=1296","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=1296, right_input=3148, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=8888","layer":3},{"info":"number node, value=1054","layer":4},{"info":"compute unary expreesion, input=1054, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-155243","layer":3},{"info":"compute binary expreesion, left_input=8888, right_input=-155243, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"number node, value=1078","layer":4},{"info":"compute unary expreesion, input=1078, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3557","layer":3},{"info":"number node, value=2865","layer":4},{"info":"number node, value=1442","layer":4},{"info":"compute binary expreesion, left_input=2865, right_input=1442, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3557, right_input=nan, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"compute binary expreesion, left_input=3979, right_input=67, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=266593","layer":0}],"base":16,"result_base":16,"text":"(⊥∃⊬16CC)↺(↯⪼∃⊬1367)⪄(∃⊬1EF5⨽∃⊬DC5)≭∃⊬E18↬∃⊬138A*(∃⊬510⨸⪁∃⊬C4C)⪘⫢(∃⊬41E↛⩡⫤)≎⊠⪸((∃⊬436≫≃)⩚⊴⇥∃⊬B31⊴∃⊬5A2)=∃⊬41161","reverse_text":"∃⊬41161=(⊥∃⊬16CC)↺(↯⪼∃⊬1367)⪄(∃⊬1EF5⨽∃⊬DC5)≭∃⊬E18↬∃⊬138A*(∃⊬510⨸⪁∃⊬C4C)⪘⫢(∃⊬41E↛⩡⫤)≎⊠⪸((∃⊬436≫≃)⩚⊴⇥∃⊬B31⊴∃⊬5A2)","cot":[{"info":"⊥∃⊬16CC=NaN","layer":3},{"info":"↯⪼∃⊬1367=∃⊬-15","layer":3},{"info":"NaN↺∃⊬-15=∃⊬-15","layer":2},{"info":"∃⊬1EF5⨽∃⊬DC5=∃⊬-B3B2798","layer":3},{"info":"∃⊬E18↬∃⊬138A=NaN","layer":3},{"info":"∃⊬-B3B2798≭NaN=NaN","layer":2},{"info":"∃⊬-15⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬510⨸⪁∃⊬C4C=∃⊬22B8","layer":3},{"info":"∃⊬41E↛⩡⫤=∃⊬-25E6B","layer":3},{"info":"∃⊬22B8⪘⫢∃⊬-25E6B=∃⊬-1","layer":2},{"info":"∃⊬436≫≃=∃⊬DE5","layer":3},{"info":"∃⊬B31⊴∃⊬5A2=NaN","layer":3},{"info":"∃⊬DE5⩚⊴⇥NaN=NaN","layer":2},{"info":"∃⊬-1≎⊠⪸NaN=∃⊬43","layer":1},{"info":"∃⊬F8B*∃⊬43=∃⊬41161","layer":0}]}
{"id":954,"expression_no_base_symbol":"(↔($1059$↙$2120$)≹⇙⪍($1614$⨳⩥⨓$1151$))⨵⪆(⊙↵-(($4418$⪄$2107$)⊭∹↮))","expression":"(↔(∃⊬423↙∃⊬848)≹⇙⪍(∃⊬64E⨳⩥⨓∃⊬47F))⨵⪆(⊙↵-((∃⊬1142⪄∃⊬83B)⊭∹↮))","highest_n_order":4,"priority_hierarchical_complexity":7,"normalized_expansion_degree":875227,"operation_count":8,"complexity_ratio":109403.375,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1059,"base":16},"right_expr":{"type":"numeric_atoms","value":2120,"base":16}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1614,"base":16},"right_expr":{"type":"numeric_atoms","value":1151,"base":16}}}},"right_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"unary","operator":"⊭∹↮","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":4418,"base":16},"right_expr":{"type":"numeric_atoms","value":2107,"base":16}}}}},"used_operators":["2DQ55sFlQl","ruOEQAzv1W","AHs5Up7iyr","yyfyN0ffXY","nCS4ZIUYfx","oWn0xqSxBt","xNBdhnnwKq","SUmda5xLS4"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","dWAJyo7jo9","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","2DDjHMKMc0","k8jYdgA6NY","XPYlsWDdGa","COABgblf1C","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1059","layer":4},{"info":"number node, value=2120","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=2120, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6360","layer":3},{"info":"number node, value=1614","layer":4},{"info":"number node, value=1151","layer":4},{"info":"compute binary expreesion, left_input=1614, right_input=1151, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-463","layer":3},{"info":"compute binary expreesion, left_input=-6360, right_input=-463, op_id = AHs5Up7iyr binary_op_definition= 'a≹⇙⪍b = {a, if b == 0; (a≹⇙⪍(b-1))⪢(b), if b > 0 and abs(b) < 1000; -(a≹⇙⪍(b+1))⪢(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=4418","layer":4},{"info":"number node, value=2107","layer":4},{"info":"compute binary expreesion, left_input=4418, right_input=2107, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-658381","layer":3},{"info":"compute unary expreesion, input=-658381, op_id = xNBdhnnwKq, unary_op_definition = 'a⊭∹↮ = { a , if (a⊭↱319)>=17 ; ((⪲⇎a)⋝⋈⪟(a%a)) , else }', output=-658381","layer":2},{"info":"compute unary expreesion, input=-658381, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=196, 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":"(↔(∃⊬423↙∃⊬848)≹⇙⪍(∃⊬64E⨳⩥⨓∃⊬47F))⨵⪆(⊙↵-((∃⊬1142⪄∃⊬83B)⊭∹↮))=∃⊬A0","reverse_text":"∃⊬A0=(↔(∃⊬423↙∃⊬848)≹⇙⪍(∃⊬64E⨳⩥⨓∃⊬47F))⨵⪆(⊙↵-((∃⊬1142⪄∃⊬83B)⊭∹↮))","cot":[{"info":"∃⊬423↙∃⊬848=∃⊬-18D8","layer":3},{"info":"∃⊬64E⨳⩥⨓∃⊬47F=∃⊬-1CF","layer":3},{"info":"∃⊬-18D8≹⇙⪍∃⊬-1CF=NaN","layer":2},{"info":"↔NaN=∃⊬-86","layer":1},{"info":"∃⊬1142⪄∃⊬83B=∃⊬-A0BCD","layer":3},{"info":"∃⊬-A0BCD⊭∹↮=∃⊬-A0BCD","layer":2},{"info":"⊙↵-∃⊬-A0BCD=∃⊬C4","layer":1},{"info":"∃⊬-86⨵⪆∃⊬C4=∃⊬A0","layer":0}]}
{"id":955,"expression_no_base_symbol":"((⨑⩽⪐($5136$⩤))⨐⩸⫘($2118$⨰$8994$)⪘⫢($1067$⪐))⋥≓≎($6071$⨎$1354$⊭↱(⊄⩳↩$2346$))⨟⋌⩍($2291$↬$1255$⪨≂$2498$⫸⊐$2221$)","expression":"((⨑⩽⪐(∃⊬1410⩤))⨐⩸⫘(∃⊬846⨰∃⊬2322)⪘⫢(∃⊬42B⪐))⋥≓≎(∃⊬17B7⨎∃⊬54A⊭↱(⊄⩳↩∃⊬92A))⨟⋌⩍(∃⊬8F3↬∃⊬4E7⪨≂∃⊬9C2⫸⊐∃⊬8AD)","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":77,"operation_count":14,"complexity_ratio":5.5,"tree":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":5136,"base":16}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":2118,"base":16},"right_expr":{"type":"numeric_atoms","value":8994,"base":16}},"right_expr":{"type":"unary","operator":"⪐","unary_expr":{"type":"numeric_atoms","value":1067,"base":16}}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":6071,"base":16},"right_expr":{"type":"numeric_atoms","value":1354,"base":16}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":2346,"base":16}}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2291,"base":16},"right_expr":{"type":"numeric_atoms","value":1255,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2498,"base":16},"right_expr":{"type":"numeric_atoms","value":2221,"base":16}}}}},"used_operators":["Qy55tPpLXF","fu6greOZ01","AF7qkfDlqP","Z2TMIBDE3Q","oacrs7FA3X","eewbuw0ToL","eH2TOUuTDT","rGHVDoGpnC","COABgblf1C","rJVOvQCfKK","8w2t5hMYqp","sdazOOVcIp","B5M0gjZbta","mqXw5SEYmG"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","3ViojmjbAp","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","Tcnh7f0tEr","W4YGzv6Whe","t8gj7n24qd","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5136","layer":4},{"info":"compute unary expreesion, input=5136, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-5136","layer":3},{"info":"compute unary expreesion, input=-5136, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=11061","layer":2},{"info":"number node, value=2118","layer":4},{"info":"number node, value=8994","layer":4},{"info":"compute binary expreesion, left_input=2118, right_input=8994, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-6866","layer":3},{"info":"number node, value=1067","layer":4},{"info":"compute unary expreesion, input=1067, op_id = eH2TOUuTDT, unary_op_definition = 'a⪐ = { (a+a) , if (-a)!=532 or a<368 ; (-a) , else }', output=2134","layer":3},{"info":"compute binary expreesion, left_input=-6866, right_input=2134, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=-1","layer":2},{"info":"compute binary expreesion, left_input=11061, 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":1},{"info":"number node, value=6071","layer":4},{"info":"number node, value=1354","layer":4},{"info":"compute binary expreesion, left_input=6071, right_input=1354, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1354","layer":3},{"info":"number node, value=2346","layer":4},{"info":"compute unary expreesion, input=2346, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-7038","layer":3},{"info":"compute binary expreesion, left_input=1354, right_input=-7038, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-16779","layer":2},{"info":"number node, value=2291","layer":4},{"info":"number node, value=1255","layer":4},{"info":"compute binary expreesion, left_input=2291, right_input=1255, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2498","layer":4},{"info":"number node, value=2221","layer":4},{"info":"compute binary expreesion, left_input=2498, right_input=2221, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=8759","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=8759, op_id = sdazOOVcIp binary_op_definition= 'a⪨≂b = { (((a-117)-b)-((145-b)-(a-a))) , if (-b)==187 ; ((-(b-102))-((b-a)-a)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-16779, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":1},{"info":"compute binary expreesion, left_input=4, 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":"((⨑⩽⪐(∃⊬1410⩤))⨐⩸⫘(∃⊬846⨰∃⊬2322)⪘⫢(∃⊬42B⪐))⋥≓≎(∃⊬17B7⨎∃⊬54A⊭↱(⊄⩳↩∃⊬92A))⨟⋌⩍(∃⊬8F3↬∃⊬4E7⪨≂∃⊬9C2⫸⊐∃⊬8AD)=NaN","reverse_text":"NaN=((⨑⩽⪐(∃⊬1410⩤))⨐⩸⫘(∃⊬846⨰∃⊬2322)⪘⫢(∃⊬42B⪐))⋥≓≎(∃⊬17B7⨎∃⊬54A⊭↱(⊄⩳↩∃⊬92A))⨟⋌⩍(∃⊬8F3↬∃⊬4E7⪨≂∃⊬9C2⫸⊐∃⊬8AD)","cot":[{"info":"∃⊬1410⩤=∃⊬-1410","layer":3},{"info":"⨑⩽⪐∃⊬-1410=∃⊬2B35","layer":2},{"info":"∃⊬846⨰∃⊬2322=∃⊬-1AD2","layer":3},{"info":"∃⊬42B⪐=∃⊬856","layer":3},{"info":"∃⊬-1AD2⪘⫢∃⊬856=∃⊬-1","layer":2},{"info":"∃⊬2B35⨐⩸⫘∃⊬-1=∃⊬4","layer":1},{"info":"∃⊬17B7⨎∃⊬54A=∃⊬54A","layer":3},{"info":"⊄⩳↩∃⊬92A=∃⊬-1B7E","layer":3},{"info":"∃⊬54A⊭↱∃⊬-1B7E=∃⊬-418B","layer":2},{"info":"∃⊬8F3↬∃⊬4E7=NaN","layer":3},{"info":"∃⊬9C2⫸⊐∃⊬8AD=∃⊬2237","layer":3},{"info":"NaN⪨≂∃⊬2237=NaN","layer":2},{"info":"∃⊬-418B⨟⋌⩍NaN=NaN","layer":1},{"info":"∃⊬4⋥≓≎NaN=NaN","layer":0}]}
{"id":956,"expression_no_base_symbol":"((⪲⇎$1697$⩚⊴⇥$2137$)↺(↽≂($3791$⊭↱$1415$)))∑⇟⊟(($3255$⇼⇔∾$5521$)≭($6359$⫥∨⫟$2074$)⪄($1398$/$1845$)⨟⋌⩍($1237$⫡⨏$1278$))","expression":"((⪲⇎∃⊬6A1⩚⊴⇥∃⊬859)↺(↽≂(∃⊬ECF⊭↱∃⊬587)))∑⇟⊟((∃⊬CB7⇼⇔∾∃⊬1591)≭(∃⊬18D7⫥∨⫟∃⊬81A)⪄(∃⊬576/∃⊬735)⨟⋌⩍(∃⊬4D5⫡⨏∃⊬4FE))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":204,"operation_count":13,"complexity_ratio":15.692307692307692,"tree":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1697,"base":16},"right_expr":{"type":"numeric_atoms","value":2137,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":3791,"base":16},"right_expr":{"type":"numeric_atoms","value":1415,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":3255,"base":16},"right_expr":{"type":"numeric_atoms","value":5521,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":6359,"base":16},"right_expr":{"type":"numeric_atoms","value":2074,"base":16}}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":1398,"base":16},"right_expr":{"type":"numeric_atoms","value":1845,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1237,"base":16},"right_expr":{"type":"numeric_atoms","value":1278,"base":16}}}}},"used_operators":["U7g4x0WXJJ","7j4O788W3g","XPYlsWDdGa","NTOWxs364D","u6S6b8DprG","COABgblf1C","SUmda5xLS4","rxpJgHHUmx","tifHPKVTfV","KYD54nUTWz","rGHVDoGpnC","XhwjNDsVaA","QMFrweE19q"],"dependent_operators":["AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","8HhzD0ZcuI","rGHVDoGpnC","Tcnh7f0tEr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1697","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=1697, right_input=2137, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3955","layer":3},{"info":"compute unary expreesion, input=-3955, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=-7910","layer":2},{"info":"number node, value=3791","layer":4},{"info":"number node, value=1415","layer":4},{"info":"compute binary expreesion, left_input=3791, right_input=1415, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4747","layer":3},{"info":"compute unary expreesion, input=-4747, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=9494","layer":2},{"info":"compute binary expreesion, left_input=-7910, right_input=9494, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=9494","layer":1},{"info":"number node, value=3255","layer":4},{"info":"number node, value=5521","layer":4},{"info":"compute binary expreesion, left_input=3255, right_input=5521, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=2266","layer":3},{"info":"number node, value=6359","layer":4},{"info":"number node, value=2074","layer":4},{"info":"compute binary expreesion, left_input=6359, right_input=2074, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=2266, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"number node, value=1398","layer":4},{"info":"number node, value=1845","layer":4},{"info":"compute binary expreesion, left_input=1398, right_input=1845, op_id = XhwjNDsVaA binary_op_definition= 'None', output=0","layer":3},{"info":"number node, value=1237","layer":4},{"info":"number node, value=1278","layer":4},{"info":"compute binary expreesion, left_input=1237, right_input=1278, 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=9524","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=9524, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=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":1},{"info":"compute binary expreesion, left_input=9494, right_input=3979, 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":"((⪲⇎∃⊬6A1⩚⊴⇥∃⊬859)↺(↽≂(∃⊬ECF⊭↱∃⊬587)))∑⇟⊟((∃⊬CB7⇼⇔∾∃⊬1591)≭(∃⊬18D7⫥∨⫟∃⊬81A)⪄(∃⊬576/∃⊬735)⨟⋌⩍(∃⊬4D5⫡⨏∃⊬4FE))=NaN","reverse_text":"NaN=((⪲⇎∃⊬6A1⩚⊴⇥∃⊬859)↺(↽≂(∃⊬ECF⊭↱∃⊬587)))∑⇟⊟((∃⊬CB7⇼⇔∾∃⊬1591)≭(∃⊬18D7⫥∨⫟∃⊬81A)⪄(∃⊬576/∃⊬735)⨟⋌⩍(∃⊬4D5⫡⨏∃⊬4FE))","cot":[{"info":"∃⊬6A1⩚⊴⇥∃⊬859=∃⊬-F73","layer":3},{"info":"⪲⇎∃⊬-F73=∃⊬-1EE6","layer":2},{"info":"∃⊬ECF⊭↱∃⊬587=∃⊬-128B","layer":3},{"info":"↽≂∃⊬-128B=∃⊬2516","layer":2},{"info":"∃⊬-1EE6↺∃⊬2516=∃⊬2516","layer":1},{"info":"∃⊬CB7⇼⇔∾∃⊬1591=∃⊬8DA","layer":3},{"info":"∃⊬18D7⫥∨⫟∃⊬81A=NaN","layer":3},{"info":"∃⊬8DA≭NaN=NaN","layer":2},{"info":"∃⊬576/∃⊬735=∃⊬0","layer":3},{"info":"∃⊬4D5⫡⨏∃⊬4FE=∃⊬2534","layer":3},{"info":"∃⊬0⨟⋌⩍∃⊬2534=NaN","layer":2},{"info":"NaN⪄NaN=∃⊬F8B","layer":1},{"info":"∃⊬2516∑⇟⊟∃⊬F8B=NaN","layer":0}]}
{"id":957,"expression_no_base_symbol":"((⊙↵-$2718$)⩷∴($1848$⨎$1165$)⨎(↩(∥⊫$4418$)))⇷((($5234$⊉≛↸$4658$)⋫)⪄(⨞⊢($1155$%$3697$)))","expression":"((⊙↵-∃⊬A9E)⩷∴(∃⊬738⨎∃⊬48D)⨎(↩(∥⊫∃⊬1142)))⇷(((∃⊬1472⊉≛↸∃⊬1232)⋫)⪄(⨞⊢(∃⊬483%∃⊬E71)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":566479,"operation_count":12,"complexity_ratio":47206.583333333336,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"numeric_atoms","value":2718,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1848,"base":16},"right_expr":{"type":"numeric_atoms","value":1165,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":4418,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5234,"base":16},"right_expr":{"type":"numeric_atoms","value":4658,"base":16}}},"right_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1155,"base":16},"right_expr":{"type":"numeric_atoms","value":3697,"base":16}}}}},"used_operators":["mp7IySMOzn","rJVOvQCfKK","9FxExcQeMw","oWn0xqSxBt","jLgFTUHLKL","P8v4zCKN1o","SUmda5xLS4","JL8yIekQnl","DZ8iAZOCBD","xUOZtlo3hN","k8jYdgA6NY"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","rysDP5nf3Z","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","tmPS8pqC7x","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2718","layer":4},{"info":"compute unary expreesion, input=2718, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=-1","layer":3},{"info":"number node, value=1848","layer":4},{"info":"number node, value=1165","layer":4},{"info":"compute binary expreesion, left_input=1848, right_input=1165, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=1165","layer":3},{"info":"compute binary expreesion, left_input=-1, right_input=1165, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-2364","layer":2},{"info":"number node, value=4418","layer":4},{"info":"compute unary expreesion, input=4418, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=5286","layer":3},{"info":"compute unary expreesion, input=5286, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-39508","layer":2},{"info":"compute binary expreesion, left_input=-2364, right_input=-39508, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=-39508","layer":1},{"info":"number node, value=5234","layer":4},{"info":"number node, value=4658","layer":4},{"info":"compute binary expreesion, left_input=5234, right_input=4658, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10468","layer":3},{"info":"compute unary expreesion, input=10468, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=10468","layer":2},{"info":"number node, value=1155","layer":4},{"info":"number node, value=3697","layer":4},{"info":"compute binary expreesion, left_input=1155, right_input=3697, op_id = k8jYdgA6NY binary_op_definition= 'None', output=1155","layer":3},{"info":"compute unary expreesion, input=1155, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-1329","layer":2},{"info":"compute binary expreesion, left_input=10468, right_input=-1329, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-1540037","layer":1},{"info":"compute binary expreesion, left_input=-39508, right_input=-1540037, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((⊙↵-∃⊬A9E)⩷∴(∃⊬738⨎∃⊬48D)⨎(↩(∥⊫∃⊬1142)))⇷(((∃⊬1472⊉≛↸∃⊬1232)⋫)⪄(⨞⊢(∃⊬483%∃⊬E71)))=NaN","reverse_text":"NaN=((⊙↵-∃⊬A9E)⩷∴(∃⊬738⨎∃⊬48D)⨎(↩(∥⊫∃⊬1142)))⇷(((∃⊬1472⊉≛↸∃⊬1232)⋫)⪄(⨞⊢(∃⊬483%∃⊬E71)))","cot":[{"info":"⊙↵-∃⊬A9E=∃⊬-1","layer":3},{"info":"∃⊬738⨎∃⊬48D=∃⊬48D","layer":3},{"info":"∃⊬-1⩷∴∃⊬48D=∃⊬-93C","layer":2},{"info":"∥⊫∃⊬1142=∃⊬14A6","layer":3},{"info":"↩∃⊬14A6=∃⊬-9A54","layer":2},{"info":"∃⊬-93C⨎∃⊬-9A54=∃⊬-9A54","layer":1},{"info":"∃⊬1472⊉≛↸∃⊬1232=∃⊬28E4","layer":3},{"info":"∃⊬28E4⋫=∃⊬28E4","layer":2},{"info":"∃⊬483%∃⊬E71=∃⊬483","layer":3},{"info":"⨞⊢∃⊬483=∃⊬-531","layer":2},{"info":"∃⊬28E4⪄∃⊬-531=∃⊬-177FC5","layer":1},{"info":"∃⊬-9A54⇷∃⊬-177FC5=NaN","layer":0}]}
{"id":958,"expression_no_base_symbol":"(($5041$⊉≛↸$8363$)↙$1298$≎⊠⪸$2548$∲⫓(↽≂(+⊝⨔$1251$)))∧","expression":"((∃⊬13B1⊉≛↸∃⊬20AB)↙∃⊬512≎⊠⪸∃⊬9F4∲⫓(↽≂(+⊝⨔∃⊬4E3)))∧","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":336036,"operation_count":7,"complexity_ratio":48005.142857142855,"tree":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":5041,"base":16},"right_expr":{"type":"numeric_atoms","value":8363,"base":16}},"right_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1298,"base":16},"right_expr":{"type":"numeric_atoms","value":2548,"base":16}}},"right_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":1251,"base":16}}}}},"used_operators":["z63VuFQld9","i8ToyICDmI","yyfyN0ffXY","DZ8iAZOCBD","bJkvcejdHO","u6S6b8DprG","DhbWaqg5eL"],"dependent_operators":["B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe"],"result":"∃⊬0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5041","layer":4},{"info":"number node, value=8363","layer":4},{"info":"compute binary expreesion, left_input=5041, right_input=8363, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=10082","layer":3},{"info":"number node, value=1298","layer":4},{"info":"number node, value=2548","layer":4},{"info":"compute binary expreesion, left_input=1298, right_input=2548, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=335709","layer":3},{"info":"compute binary expreesion, left_input=10082, right_input=335709, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-1007127","layer":2},{"info":"number node, value=1251","layer":4},{"info":"compute unary expreesion, input=1251, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"compute unary expreesion, input=1522, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-3044","layer":2},{"info":"compute binary expreesion, left_input=-1007127, right_input=-3044, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=-1007127","layer":1},{"info":"compute unary expreesion, input=-1007127, 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":"((∃⊬13B1⊉≛↸∃⊬20AB)↙∃⊬512≎⊠⪸∃⊬9F4∲⫓(↽≂(+⊝⨔∃⊬4E3)))∧=∃⊬0","reverse_text":"∃⊬0=((∃⊬13B1⊉≛↸∃⊬20AB)↙∃⊬512≎⊠⪸∃⊬9F4∲⫓(↽≂(+⊝⨔∃⊬4E3)))∧","cot":[{"info":"∃⊬13B1⊉≛↸∃⊬20AB=∃⊬2762","layer":3},{"info":"∃⊬512≎⊠⪸∃⊬9F4=∃⊬51F5D","layer":3},{"info":"∃⊬2762↙∃⊬51F5D=∃⊬-F5E17","layer":2},{"info":"+⊝⨔∃⊬4E3=∃⊬5F2","layer":3},{"info":"↽≂∃⊬5F2=∃⊬-BE4","layer":2},{"info":"∃⊬-F5E17∲⫓∃⊬-BE4=∃⊬-F5E17","layer":1},{"info":"∃⊬-F5E17∧=∃⊬0","layer":0}]}
{"id":959,"expression_no_base_symbol":"($1967$⪛$4893$⪄(⪲⇎$1938$)↛⩡⫤)↪⪝","expression":"(∃⊬7AF⪛∃⊬131D⪄(⪲⇎∃⊬792)↛⩡⫤)↪⪝","highest_n_order":3,"priority_hierarchical_complexity":5,"normalized_expansion_degree":908941,"operation_count":5,"complexity_ratio":181788.2,"tree":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":1967,"base":16},"right_expr":{"type":"numeric_atoms","value":4893,"base":16}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"numeric_atoms","value":1938,"base":16}}}}},"used_operators":["l07mrZUIn9","FU0Cs4j7VP","SUmda5xLS4","uFcxV4UQCh","XPYlsWDdGa"],"dependent_operators":["9HNa5Wba9A","2DDjHMKMc0","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"-Inf","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1967","layer":4},{"info":"number node, value=4893","layer":4},{"info":"compute binary expreesion, left_input=1967, right_input=4893, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1967","layer":3},{"info":"number node, value=1938","layer":4},{"info":"compute unary expreesion, input=1938, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=3876","layer":3},{"info":"compute binary expreesion, left_input=1967, right_input=3876, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-302709","layer":2},{"info":"compute unary expreesion, input=-302709, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-43283476","layer":1},{"info":"compute unary expreesion, input=-43283476, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=-inf","layer":0}],"base":16,"result_base":16,"text":"(∃⊬7AF⪛∃⊬131D⪄(⪲⇎∃⊬792)↛⩡⫤)↪⪝=-Inf","reverse_text":"-Inf=(∃⊬7AF⪛∃⊬131D⪄(⪲⇎∃⊬792)↛⩡⫤)↪⪝","cot":[{"info":"∃⊬7AF⪛∃⊬131D=∃⊬7AF","layer":3},{"info":"⪲⇎∃⊬792=∃⊬F24","layer":3},{"info":"∃⊬7AF⪄∃⊬F24=∃⊬-49E75","layer":2},{"info":"∃⊬-49E75↛⩡⫤=∃⊬-2947414","layer":1},{"info":"∃⊬-2947414↪⪝=-Inf","layer":0}]}
{"id":960,"expression_no_base_symbol":"⨞⊢(($1110$+$1854$)⋓($1421$≣⋋))≹⇙⪍(($2197$-$5174$)⩚⊴⇥$3398$⇷$3870$)","expression":"⨞⊢((∃⊬456+∃⊬73E)⋓(∃⊬58D≣⋋))≹⇙⪍((∃⊬895-∃⊬1436)⩚⊴⇥∃⊬D46⇷∃⊬F1E)","highest_n_order":4,"priority_hierarchical_complexity":8,"normalized_expansion_degree":48113,"operation_count":8,"complexity_ratio":6014.125,"tree":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"binary","operator":"≹⇙⪍","left_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1110,"base":16},"right_expr":{"type":"numeric_atoms","value":1854,"base":16}},"right_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":1421,"base":16}}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2197,"base":16},"right_expr":{"type":"numeric_atoms","value":5174,"base":16}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"numeric_atoms","value":3398,"base":16},"right_expr":{"type":"numeric_atoms","value":3870,"base":16}}}}},"used_operators":["xUOZtlo3hN","AHs5Up7iyr","T2fj7uvVaJ","W4YGzv6Whe","Tcnh7f0tEr","NTOWxs364D","rysDP5nf3Z","mp7IySMOzn"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1110","layer":4},{"info":"number node, value=1854","layer":4},{"info":"compute binary expreesion, left_input=1110, right_input=1854, op_id = W4YGzv6Whe binary_op_definition= 'None', output=2964","layer":3},{"info":"number node, value=1421","layer":4},{"info":"compute unary expreesion, input=1421, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2964, right_input=0, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"number node, value=2197","layer":4},{"info":"number node, value=5174","layer":4},{"info":"compute binary expreesion, left_input=2197, right_input=5174, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-2977","layer":3},{"info":"number node, value=3398","layer":4},{"info":"number node, value=3870","layer":4},{"info":"compute binary expreesion, left_input=3398, right_input=3870, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=7740","layer":3},{"info":"compute binary expreesion, left_input=-2977, right_input=7740, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-4884","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-4884, 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 = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨞⊢((∃⊬456+∃⊬73E)⋓(∃⊬58D≣⋋))≹⇙⪍((∃⊬895-∃⊬1436)⩚⊴⇥∃⊬D46⇷∃⊬F1E)=NaN","reverse_text":"NaN=⨞⊢((∃⊬456+∃⊬73E)⋓(∃⊬58D≣⋋))≹⇙⪍((∃⊬895-∃⊬1436)⩚⊴⇥∃⊬D46⇷∃⊬F1E)","cot":[{"info":"∃⊬456+∃⊬73E=∃⊬B94","layer":3},{"info":"∃⊬58D≣⋋=∃⊬0","layer":3},{"info":"∃⊬B94⋓∃⊬0=∃⊬0","layer":2},{"info":"∃⊬895-∃⊬1436=∃⊬-BA1","layer":3},{"info":"∃⊬D46⇷∃⊬F1E=∃⊬1E3C","layer":3},{"info":"∃⊬-BA1⩚⊴⇥∃⊬1E3C=∃⊬-1314","layer":2},{"info":"∃⊬0≹⇙⪍∃⊬-1314=NaN","layer":1},{"info":"⨞⊢NaN=NaN","layer":0}]}
{"id":961,"expression_no_base_symbol":"(↽≂(↯⪼($1744$⪒$1055$)))-(($4051$∲⫓$4221$)∧)⋓$3154$⪘⫢$6597$∑⇟⊟($2459$⩚⊴⇥$2970$)","expression":"(↽≂(↯⪼(∃⊬6D0⪒∃⊬41F)))-((∃⊬FD3∲⫓∃⊬107D)∧)⋓∃⊬C52⪘⫢∃⊬19C5∑⇟⊟(∃⊬99B⩚⊴⇥∃⊬B9A)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":59,"operation_count":10,"complexity_ratio":5.9,"tree":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1744,"base":16},"right_expr":{"type":"numeric_atoms","value":1055,"base":16}}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":4051,"base":16},"right_expr":{"type":"numeric_atoms","value":4221,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":3154,"base":16},"right_expr":{"type":"numeric_atoms","value":6597,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2459,"base":16},"right_expr":{"type":"numeric_atoms","value":2970,"base":16}}}}},"used_operators":["rysDP5nf3Z","u6S6b8DprG","8jW3W4yZS5","f6k1SAg4EE","T2fj7uvVaJ","z63VuFQld9","i8ToyICDmI","U7g4x0WXJJ","oacrs7FA3X","NTOWxs364D"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1744","layer":4},{"info":"number node, value=1055","layer":4},{"info":"compute binary expreesion, left_input=1744, right_input=1055, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-2799","layer":3},{"info":"compute unary expreesion, input=-2799, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=4681","layer":2},{"info":"compute unary expreesion, input=4681, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=-9362","layer":1},{"info":"number node, value=4051","layer":4},{"info":"number node, value=4221","layer":4},{"info":"compute binary expreesion, left_input=4051, right_input=4221, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=0","layer":2},{"info":"number node, value=3154","layer":4},{"info":"number node, value=6597","layer":4},{"info":"compute binary expreesion, left_input=3154, right_input=6597, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=6184","layer":3},{"info":"number node, value=2459","layer":4},{"info":"number node, value=2970","layer":4},{"info":"compute binary expreesion, left_input=2459, right_input=2970, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-5550","layer":3},{"info":"compute binary expreesion, left_input=6184, right_input=-5550, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-9362, right_input=nan, op_id = rysDP5nf3Z binary_op_definition= 'None', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↽≂(↯⪼(∃⊬6D0⪒∃⊬41F)))-((∃⊬FD3∲⫓∃⊬107D)∧)⋓∃⊬C52⪘⫢∃⊬19C5∑⇟⊟(∃⊬99B⩚⊴⇥∃⊬B9A)=NaN","reverse_text":"NaN=(↽≂(↯⪼(∃⊬6D0⪒∃⊬41F)))-((∃⊬FD3∲⫓∃⊬107D)∧)⋓∃⊬C52⪘⫢∃⊬19C5∑⇟⊟(∃⊬99B⩚⊴⇥∃⊬B9A)","cot":[{"info":"∃⊬6D0⪒∃⊬41F=∃⊬-AEF","layer":3},{"info":"↯⪼∃⊬-AEF=∃⊬1249","layer":2},{"info":"↽≂∃⊬1249=∃⊬-2492","layer":1},{"info":"∃⊬FD3∲⫓∃⊬107D=∃⊬0","layer":3},{"info":"∃⊬0∧=∃⊬0","layer":2},{"info":"∃⊬C52⪘⫢∃⊬19C5=∃⊬1828","layer":3},{"info":"∃⊬99B⩚⊴⇥∃⊬B9A=∃⊬-15AE","layer":3},{"info":"∃⊬1828∑⇟⊟∃⊬-15AE=NaN","layer":2},{"info":"∃⊬0⋓NaN=NaN","layer":1},{"info":"∃⊬-2492-NaN=NaN","layer":0}]}
{"id":962,"expression_no_base_symbol":"(⇁⨣⪵($2442$⋳⪒$1200$)⪘⫢$3501$∼$2388$)⋳⪒(($1861$%$1044$)⨽($5615$*$1719$))⪘⫢($7159$⊉≛↸$2520$↪⪝)","expression":"(⇁⨣⪵(∃⊬98A⋳⪒∃⊬4B0)⪘⫢∃⊬DAD∼∃⊬954)⋳⪒((∃⊬745%∃⊬414)⨽(∃⊬15EF*∃⊬6B7))⪘⫢(∃⊬1BF7⊉≛↸∃⊬9D8↪⪝)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3351,"operation_count":11,"complexity_ratio":304.6363636363636,"tree":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2442,"base":16},"right_expr":{"type":"numeric_atoms","value":1200,"base":16}},"right_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":3501,"base":16},"right_expr":{"type":"numeric_atoms","value":2388,"base":16}}}},"right_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"numeric_atoms","value":1861,"base":16},"right_expr":{"type":"numeric_atoms","value":1044,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":5615,"base":16},"right_expr":{"type":"numeric_atoms","value":1719,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":7159,"base":16},"right_expr":{"type":"numeric_atoms","value":2520,"base":16}}}}},"used_operators":["12rbrZMWeM","inkyxCbjAn","oacrs7FA3X","DyGG3AbaNP","8HhzD0ZcuI","k8jYdgA6NY","9HNa5Wba9A","l07mrZUIn9","DZ8iAZOCBD"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","9HNa5Wba9A","2DDjHMKMc0","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2442","layer":4},{"info":"number node, value=1200","layer":4},{"info":"compute binary expreesion, left_input=2442, right_input=1200, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=3397","layer":3},{"info":"number node, value=3501","layer":4},{"info":"number node, value=2388","layer":4},{"info":"compute binary expreesion, left_input=3501, right_input=2388, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=3397, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":1},{"info":"number node, value=1861","layer":4},{"info":"number node, value=1044","layer":4},{"info":"compute binary expreesion, left_input=1861, right_input=1044, op_id = k8jYdgA6NY binary_op_definition= 'None', output=817","layer":3},{"info":"number node, value=5615","layer":4},{"info":"number node, value=1719","layer":4},{"info":"compute binary expreesion, left_input=5615, right_input=1719, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=9652185","layer":3},{"info":"compute binary expreesion, left_input=817, right_input=9652185, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-30957708","layer":2},{"info":"number node, value=7159","layer":4},{"info":"number node, value=2520","layer":4},{"info":"compute binary expreesion, left_input=7159, right_input=2520, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=14318","layer":3},{"info":"compute unary expreesion, input=14318, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=876003876","layer":2},{"info":"compute binary expreesion, left_input=-30957708, right_input=876003876, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=0","layer":1},{"info":"compute 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":"(⇁⨣⪵(∃⊬98A⋳⪒∃⊬4B0)⪘⫢∃⊬DAD∼∃⊬954)⋳⪒((∃⊬745%∃⊬414)⨽(∃⊬15EF*∃⊬6B7))⪘⫢(∃⊬1BF7⊉≛↸∃⊬9D8↪⪝)=NaN","reverse_text":"NaN=(⇁⨣⪵(∃⊬98A⋳⪒∃⊬4B0)⪘⫢∃⊬DAD∼∃⊬954)⋳⪒((∃⊬745%∃⊬414)⨽(∃⊬15EF*∃⊬6B7))⪘⫢(∃⊬1BF7⊉≛↸∃⊬9D8↪⪝)","cot":[{"info":"∃⊬98A⋳⪒∃⊬4B0=∃⊬D45","layer":3},{"info":"∃⊬DAD∼∃⊬954=NaN","layer":3},{"info":"∃⊬D45⪘⫢NaN=NaN","layer":2},{"info":"⇁⨣⪵NaN=NaN","layer":1},{"info":"∃⊬745%∃⊬414=∃⊬331","layer":3},{"info":"∃⊬15EF*∃⊬6B7=∃⊬9347D9","layer":3},{"info":"∃⊬331⨽∃⊬9347D9=∃⊬-1D8608C","layer":2},{"info":"∃⊬1BF7⊉≛↸∃⊬9D8=∃⊬37EE","layer":3},{"info":"∃⊬37EE↪⪝=∃⊬3436C224","layer":2},{"info":"∃⊬-1D8608C⪘⫢∃⊬3436C224=∃⊬0","layer":1},{"info":"NaN⋳⪒∃⊬0=NaN","layer":0}]}
{"id":963,"expression_no_base_symbol":"(↔(↩$7442$⩷∴$3733$))⨽((⨞⊢(∥⊫$2147$))⨳⩥⨓($1993$⪘⫢$1806$%$5072$⪄$3678$))","expression":"(↔(↩∃⊬1D12⩷∴∃⊬E95))⨽((⨞⊢(∥⊫∃⊬863))⨳⩥⨓(∃⊬7C9⪘⫢∃⊬70E%∃⊬13D0⪄∃⊬E5E))","highest_n_order":2,"priority_hierarchical_complexity":7,"normalized_expansion_degree":307,"operation_count":10,"complexity_ratio":30.7,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":7442,"base":16},"right_expr":{"type":"numeric_atoms","value":3733,"base":16}}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"numeric_atoms","value":2147,"base":16}}},"right_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"numeric_atoms","value":1993,"base":16},"right_expr":{"type":"numeric_atoms","value":1806,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5072,"base":16},"right_expr":{"type":"numeric_atoms","value":3678,"base":16}}}}},"used_operators":["8HhzD0ZcuI","ruOEQAzv1W","jLgFTUHLKL","9FxExcQeMw","nCS4ZIUYfx","xUOZtlo3hN","P8v4zCKN1o","k8jYdgA6NY","oacrs7FA3X","SUmda5xLS4"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C"],"result":"∃⊬21BB68","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7442","layer":4},{"info":"number node, value=3733","layer":4},{"info":"compute binary expreesion, left_input=7442, right_input=3733, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=7386","layer":3},{"info":"compute unary expreesion, input=7386, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=-56308","layer":2},{"info":"compute unary expreesion, input=-56308, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=-134","layer":1},{"info":"number node, value=2147","layer":4},{"info":"compute unary expreesion, input=2147, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=3015","layer":3},{"info":"compute unary expreesion, input=3015, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=-3189","layer":2},{"info":"number node, value=1993","layer":4},{"info":"number node, value=1806","layer":4},{"info":"compute binary expreesion, left_input=1993, right_input=1806, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=3862","layer":3},{"info":"number node, value=5072","layer":4},{"info":"number node, value=3678","layer":4},{"info":"compute binary expreesion, left_input=5072, right_input=3678, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-761457","layer":3},{"info":"compute binary expreesion, left_input=3862, right_input=-761457, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-757595","layer":2},{"info":"compute binary expreesion, left_input=-3189, right_input=-757595, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-754406","layer":1},{"info":"compute binary expreesion, left_input=-134, right_input=-754406, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=2210664","layer":0}],"base":16,"result_base":16,"text":"(↔(↩∃⊬1D12⩷∴∃⊬E95))⨽((⨞⊢(∥⊫∃⊬863))⨳⩥⨓(∃⊬7C9⪘⫢∃⊬70E%∃⊬13D0⪄∃⊬E5E))=∃⊬21BB68","reverse_text":"∃⊬21BB68=(↔(↩∃⊬1D12⩷∴∃⊬E95))⨽((⨞⊢(∥⊫∃⊬863))⨳⩥⨓(∃⊬7C9⪘⫢∃⊬70E%∃⊬13D0⪄∃⊬E5E))","cot":[{"info":"∃⊬1D12⩷∴∃⊬E95=∃⊬1CDA","layer":3},{"info":"↩∃⊬1CDA=∃⊬-DBF4","layer":2},{"info":"↔∃⊬-DBF4=∃⊬-86","layer":1},{"info":"∥⊫∃⊬863=∃⊬BC7","layer":3},{"info":"⨞⊢∃⊬BC7=∃⊬-C75","layer":2},{"info":"∃⊬7C9⪘⫢∃⊬70E=∃⊬F16","layer":3},{"info":"∃⊬13D0⪄∃⊬E5E=∃⊬-B9E71","layer":3},{"info":"∃⊬F16%∃⊬-B9E71=∃⊬-B8F5B","layer":2},{"info":"∃⊬-C75⨳⩥⨓∃⊬-B8F5B=∃⊬-B82E6","layer":1},{"info":"∃⊬-86⨽∃⊬-B82E6=∃⊬21BB68","layer":0}]}
{"id":964,"expression_no_base_symbol":"↽≂(($5409$⋷$4630$)⊉≛↸$6924$↙$2281$↛⩡⫤)","expression":"↽≂((∃⊬1521⋷∃⊬1216)⊉≛↸∃⊬1B0C↙∃⊬8E9↛⩡⫤)","highest_n_order":3,"priority_hierarchical_complexity":4,"normalized_expansion_degree":25532,"operation_count":5,"complexity_ratio":5106.4,"tree":{"type":"unary","operator":"↽≂","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":5409,"base":16},"right_expr":{"type":"numeric_atoms","value":4630,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":6924,"base":16},"right_expr":{"type":"numeric_atoms","value":2281,"base":16}}}}},"used_operators":["u6S6b8DprG","FU0Cs4j7VP","DZ8iAZOCBD","23Mk6UjR3U","yyfyN0ffXY"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY"],"result":"∃⊬235F66","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5409","layer":4},{"info":"number node, value=4630","layer":4},{"info":"compute binary expreesion, left_input=5409, right_input=4630, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=3851","layer":3},{"info":"number node, value=6924","layer":4},{"info":"number node, value=2281","layer":4},{"info":"compute binary expreesion, left_input=6924, right_input=2281, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-6843","layer":3},{"info":"compute binary expreesion, left_input=3851, right_input=-6843, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7702","layer":2},{"info":"compute unary expreesion, input=7702, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-1159091","layer":1},{"info":"compute unary expreesion, input=-1159091, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=2318182","layer":0}],"base":16,"result_base":16,"text":"↽≂((∃⊬1521⋷∃⊬1216)⊉≛↸∃⊬1B0C↙∃⊬8E9↛⩡⫤)=∃⊬235F66","reverse_text":"∃⊬235F66=↽≂((∃⊬1521⋷∃⊬1216)⊉≛↸∃⊬1B0C↙∃⊬8E9↛⩡⫤)","cot":[{"info":"∃⊬1521⋷∃⊬1216=∃⊬F0B","layer":3},{"info":"∃⊬1B0C↙∃⊬8E9=∃⊬-1ABB","layer":3},{"info":"∃⊬F0B⊉≛↸∃⊬-1ABB=∃⊬1E16","layer":2},{"info":"∃⊬1E16↛⩡⫤=∃⊬-11AFB3","layer":1},{"info":"↽≂∃⊬-11AFB3=∃⊬235F66","layer":0}]}
{"id":965,"expression_no_base_symbol":"⊄⩳↩(($3172$⩨$3061$)⪛($1182$≋⫹)⊭↱($1854$⨳⩥⨓$1129$)⨓($3867$⨰$1644$))","expression":"⊄⩳↩((∃⊬C64⩨∃⊬BF5)⪛(∃⊬49E≋⫹)⊭↱(∃⊬73E⨳⩥⨓∃⊬469)⨓(∃⊬F1B⨰∃⊬66C))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":2268,"operation_count":8,"complexity_ratio":283.5,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3172,"base":16},"right_expr":{"type":"numeric_atoms","value":3061,"base":16}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"numeric_atoms","value":1182,"base":16}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":1854,"base":16},"right_expr":{"type":"numeric_atoms","value":1129,"base":16}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3867,"base":16},"right_expr":{"type":"numeric_atoms","value":1644,"base":16}}}}},"used_operators":["8w2t5hMYqp","COABgblf1C","uFcxV4UQCh","2DlMacCsIx","N41Kp7NANJ","3ViojmjbAp","nCS4ZIUYfx","eewbuw0ToL"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬3459","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3172","layer":4},{"info":"number node, value=3061","layer":4},{"info":"compute binary expreesion, left_input=3172, right_input=3061, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1182","layer":4},{"info":"compute unary expreesion, input=1182, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=-2364","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-2364, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=0","layer":2},{"info":"number node, value=1854","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=1854, right_input=1129, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-725","layer":3},{"info":"number node, value=3867","layer":4},{"info":"number node, value=1644","layer":4},{"info":"compute binary expreesion, left_input=3867, right_input=1644, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=2233","layer":3},{"info":"compute binary expreesion, left_input=-725, right_input=2233, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=-2236","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=-2236, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-4467","layer":1},{"info":"compute unary expreesion, input=-4467, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=13401","layer":0}],"base":16,"result_base":16,"text":"⊄⩳↩((∃⊬C64⩨∃⊬BF5)⪛(∃⊬49E≋⫹)⊭↱(∃⊬73E⨳⩥⨓∃⊬469)⨓(∃⊬F1B⨰∃⊬66C))=∃⊬3459","reverse_text":"∃⊬3459=⊄⩳↩((∃⊬C64⩨∃⊬BF5)⪛(∃⊬49E≋⫹)⊭↱(∃⊬73E⨳⩥⨓∃⊬469)⨓(∃⊬F1B⨰∃⊬66C))","cot":[{"info":"∃⊬C64⩨∃⊬BF5=∃⊬0","layer":3},{"info":"∃⊬49E≋⫹=∃⊬-93C","layer":3},{"info":"∃⊬0⪛∃⊬-93C=∃⊬0","layer":2},{"info":"∃⊬73E⨳⩥⨓∃⊬469=∃⊬-2D5","layer":3},{"info":"∃⊬F1B⨰∃⊬66C=∃⊬8B9","layer":3},{"info":"∃⊬-2D5⨓∃⊬8B9=∃⊬-8BC","layer":2},{"info":"∃⊬0⊭↱∃⊬-8BC=∃⊬-1173","layer":1},{"info":"⊄⩳↩∃⊬-1173=∃⊬3459","layer":0}]}
{"id":966,"expression_no_base_symbol":"(($6469$⪠⩆⊳)⨁⊸⫻)⨓(($3419$⊪)+⇶⊼($1381$⩨$8593$))⨵⪆(⨈⫕($2807$⨽$4294$)∼($4427$↬$1597$))","expression":"((∃⊬1945⪠⩆⊳)⨁⊸⫻)⨓((∃⊬D5B⊪)+⇶⊼(∃⊬565⩨∃⊬2191))⨵⪆(⨈⫕(∃⊬AF7⨽∃⊬10C6)∼(∃⊬114B↬∃⊬63D))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":467317,"operation_count":11,"complexity_ratio":42483.36363636364,"tree":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":6469,"base":16}}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"unary","operator":"⊪","unary_expr":{"type":"numeric_atoms","value":3419,"base":16}},"right_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1381,"base":16},"right_expr":{"type":"numeric_atoms","value":8593,"base":16}}}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":2807,"base":16},"right_expr":{"type":"numeric_atoms","value":4294,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":4427,"base":16},"right_expr":{"type":"numeric_atoms","value":1597,"base":16}}}}},"used_operators":["2DQ55sFlQl","3ViojmjbAp","glklzrTFfD","JLbD19bQDL","TpPTUOHfaN","zVYPLywUTj","2DlMacCsIx","megm06wKyl","DyGG3AbaNP","8HhzD0ZcuI","B5M0gjZbta"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","XhwjNDsVaA","BjRHVeLaeN","9HNa5Wba9A","Qy55tPpLXF","Ph9nP6C5qx","2DQ55sFlQl","f6k1SAg4EE","e1ybzncUwg","W4YGzv6Whe","8w2t5hMYqp","JLbD19bQDL","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rGHVDoGpnC"],"result":"∃⊬A0","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6469","layer":4},{"info":"compute unary expreesion, input=6469, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"compute unary expreesion, input=0, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=0","layer":2},{"info":"number node, value=3419","layer":4},{"info":"compute unary expreesion, input=3419, op_id = zVYPLywUTj, unary_op_definition = 'a⊪ = { (((a*a)+(18⨵⪆91))⪨≂((62⋥≓≎a)*(a⪒a))) , if (≉a)<304 or (a⫩⊇)==292 ; ((⊄⩳↩(a⪠⩆⊳))*((a/a)≧⫂∧(21*a))) , else }', output=0","layer":3},{"info":"number node, value=1381","layer":4},{"info":"number node, value=8593","layer":4},{"info":"compute binary expreesion, left_input=1381, right_input=8593, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-18","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=-18, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"number node, value=2807","layer":4},{"info":"number node, value=4294","layer":4},{"info":"compute binary expreesion, left_input=2807, right_input=4294, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-23649315","layer":3},{"info":"number node, value=4427","layer":4},{"info":"number node, value=1597","layer":4},{"info":"compute binary expreesion, left_input=4427, right_input=1597, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-23649315, right_input=nan, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":2},{"info":"compute 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":1},{"info":"compute binary expreesion, left_input=nan, right_input=-21, 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":"((∃⊬1945⪠⩆⊳)⨁⊸⫻)⨓((∃⊬D5B⊪)+⇶⊼(∃⊬565⩨∃⊬2191))⨵⪆(⨈⫕(∃⊬AF7⨽∃⊬10C6)∼(∃⊬114B↬∃⊬63D))=∃⊬A0","reverse_text":"∃⊬A0=((∃⊬1945⪠⩆⊳)⨁⊸⫻)⨓((∃⊬D5B⊪)+⇶⊼(∃⊬565⩨∃⊬2191))⨵⪆(⨈⫕(∃⊬AF7⨽∃⊬10C6)∼(∃⊬114B↬∃⊬63D))","cot":[{"info":"∃⊬1945⪠⩆⊳=∃⊬0","layer":3},{"info":"∃⊬0⨁⊸⫻=∃⊬0","layer":2},{"info":"∃⊬D5B⊪=∃⊬0","layer":3},{"info":"∃⊬565⩨∃⊬2191=∃⊬-12","layer":3},{"info":"∃⊬0+⇶⊼∃⊬-12=NaN","layer":2},{"info":"∃⊬0⨓NaN=NaN","layer":1},{"info":"∃⊬AF7⨽∃⊬10C6=∃⊬-168DC23","layer":3},{"info":"∃⊬114B↬∃⊬63D=NaN","layer":3},{"info":"∃⊬-168DC23∼NaN=NaN","layer":2},{"info":"⨈⫕NaN=∃⊬-15","layer":1},{"info":"NaN⨵⪆∃⊬-15=∃⊬A0","layer":0}]}
{"id":967,"expression_no_base_symbol":"⇁⨣⪵($3895$⋥≓≎$3148$)⩚⊴⇥($2613$⩠)↙($8329$⊴$1811$⫡⨏$5354$⨸⪁$7634$)","expression":"⇁⨣⪵(∃⊬F37⋥≓≎∃⊬C4C)⩚⊴⇥(∃⊬A35⩠)↙(∃⊬2089⊴∃⊬713⫡⨏∃⊬14EA⨸⪁∃⊬1DD2)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12865,"operation_count":8,"complexity_ratio":1608.125,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3895,"base":16},"right_expr":{"type":"numeric_atoms","value":3148,"base":16}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":2613,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":8329,"base":16},"right_expr":{"type":"numeric_atoms","value":1811,"base":16}},"right_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":5354,"base":16},"right_expr":{"type":"numeric_atoms","value":7634,"base":16}}}}},"used_operators":["inkyxCbjAn","yyfyN0ffXY","NTOWxs364D","Qy55tPpLXF","sJAwomhLZr","QMFrweE19q","Nsiff2A1zJ","g55IO6H4Gj"],"dependent_operators":["B5M0gjZbta","tmPS8pqC7x","DpFCA1CohY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3895","layer":4},{"info":"number node, value=3148","layer":4},{"info":"compute binary expreesion, left_input=3895, right_input=3148, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=2434","layer":3},{"info":"number node, value=2613","layer":4},{"info":"compute unary expreesion, input=2613, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=2434, right_input=0, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-2555","layer":2},{"info":"number node, value=8329","layer":4},{"info":"number node, value=1811","layer":4},{"info":"compute binary expreesion, left_input=8329, right_input=1811, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"number node, value=5354","layer":4},{"info":"number node, value=7634","layer":4},{"info":"compute binary expreesion, left_input=5354, right_input=7634, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=25976","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=25976, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-2555, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-2555","layer":1},{"info":"compute unary expreesion, input=-2555, op_id = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∃⊬F37⋥≓≎∃⊬C4C)⩚⊴⇥(∃⊬A35⩠)↙(∃⊬2089⊴∃⊬713⫡⨏∃⊬14EA⨸⪁∃⊬1DD2)=NaN","reverse_text":"NaN=⇁⨣⪵(∃⊬F37⋥≓≎∃⊬C4C)⩚⊴⇥(∃⊬A35⩠)↙(∃⊬2089⊴∃⊬713⫡⨏∃⊬14EA⨸⪁∃⊬1DD2)","cot":[{"info":"∃⊬F37⋥≓≎∃⊬C4C=∃⊬982","layer":3},{"info":"∃⊬A35⩠=∃⊬0","layer":3},{"info":"∃⊬982⩚⊴⇥∃⊬0=∃⊬-9FB","layer":2},{"info":"∃⊬2089⊴∃⊬713=NaN","layer":3},{"info":"∃⊬14EA⨸⪁∃⊬1DD2=∃⊬6578","layer":3},{"info":"NaN⫡⨏∃⊬6578=NaN","layer":2},{"info":"∃⊬-9FB↙NaN=∃⊬-9FB","layer":1},{"info":"⇁⨣⪵∃⊬-9FB=NaN","layer":0}]}
{"id":968,"expression_no_base_symbol":"((($1272$↛⩡⫤)⩨$4667$+⇶⊼$4087$)≭($1755$⨁⊸⫻)⨪↰⇹($1229$⫡⨏$2719$))⊴((($1950$∸)∲⫓$1649$⨪↰⇹$2340$)⪄($3544$⪢$2219$⇼⇔∾$4179$↙$3142$))","expression":"(((∃⊬4F8↛⩡⫤)⩨∃⊬123B+⇶⊼∃⊬FF7)≭(∃⊬6DB⨁⊸⫻)⨪↰⇹(∃⊬4CD⫡⨏∃⊬A9F))⊴(((∃⊬79E∸)∲⫓∃⊬671⨪↰⇹∃⊬924)⪄(∃⊬DD8⪢∃⊬8AB⇼⇔∾∃⊬1053↙∃⊬C46))","highest_n_order":5,"priority_hierarchical_complexity":11,"normalized_expansion_degree":13831,"operation_count":15,"complexity_ratio":922.0666666666667,"tree":{"type":"binary","operator":"⊴","left_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1272,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":4667,"base":16},"right_expr":{"type":"numeric_atoms","value":4087,"base":16}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"⨁⊸⫻","unary_expr":{"type":"numeric_atoms","value":1755,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":1229,"base":16},"right_expr":{"type":"numeric_atoms","value":2719,"base":16}}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":1950,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":1649,"base":16},"right_expr":{"type":"numeric_atoms","value":2340,"base":16}}},"right_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":3544,"base":16},"right_expr":{"type":"numeric_atoms","value":2219,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":4179,"base":16},"right_expr":{"type":"numeric_atoms","value":3142,"base":16}}}}},"used_operators":["Nsiff2A1zJ","rxpJgHHUmx","2DlMacCsIx","FU0Cs4j7VP","TpPTUOHfaN","tmPS8pqC7x","glklzrTFfD","QMFrweE19q","SUmda5xLS4","i8ToyICDmI","o20kRiQErp","tifHPKVTfV","dWAJyo7jo9","yyfyN0ffXY"],"dependent_operators":["dWAJyo7jo9","14qkJME0vr","AHs5Up7iyr","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","rJVOvQCfKK","W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","tmPS8pqC7x","DpFCA1CohY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1272","layer":4},{"info":"compute unary expreesion, input=1272, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-188161","layer":3},{"info":"number node, value=4667","layer":4},{"info":"number node, value=4087","layer":4},{"info":"compute binary expreesion, left_input=4667, right_input=4087, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-188161, right_input=nan, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=nan","layer":2},{"info":"number node, value=1755","layer":4},{"info":"compute unary expreesion, input=1755, op_id = glklzrTFfD, unary_op_definition = 'a⨁⊸⫻ = { ((a-a)+(a+a)) , if a<=24 ; a , else }', output=1755","layer":3},{"info":"number node, value=1229","layer":4},{"info":"number node, value=2719","layer":4},{"info":"compute binary expreesion, left_input=1229, right_input=2719, 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=12366","layer":3},{"info":"compute binary expreesion, left_input=1755, right_input=12366, 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=1755","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=1755, 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=1950","layer":4},{"info":"compute unary expreesion, input=1950, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1649","layer":4},{"info":"number node, value=2340","layer":4},{"info":"compute binary expreesion, left_input=1649, right_input=2340, 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=1649","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=1649, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":2},{"info":"number node, value=3544","layer":4},{"info":"number node, value=2219","layer":4},{"info":"compute binary expreesion, left_input=3544, right_input=2219, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=4179","layer":4},{"info":"number node, value=3142","layer":4},{"info":"compute binary expreesion, left_input=4179, right_input=3142, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-9426","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-9426, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=nan","layer":2},{"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":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∃⊬4F8↛⩡⫤)⩨∃⊬123B+⇶⊼∃⊬FF7)≭(∃⊬6DB⨁⊸⫻)⨪↰⇹(∃⊬4CD⫡⨏∃⊬A9F))⊴(((∃⊬79E∸)∲⫓∃⊬671⨪↰⇹∃⊬924)⪄(∃⊬DD8⪢∃⊬8AB⇼⇔∾∃⊬1053↙∃⊬C46))=NaN","reverse_text":"NaN=(((∃⊬4F8↛⩡⫤)⩨∃⊬123B+⇶⊼∃⊬FF7)≭(∃⊬6DB⨁⊸⫻)⨪↰⇹(∃⊬4CD⫡⨏∃⊬A9F))⊴(((∃⊬79E∸)∲⫓∃⊬671⨪↰⇹∃⊬924)⪄(∃⊬DD8⪢∃⊬8AB⇼⇔∾∃⊬1053↙∃⊬C46))","cot":[{"info":"∃⊬4F8↛⩡⫤=∃⊬-2DF01","layer":3},{"info":"∃⊬123B+⇶⊼∃⊬FF7=NaN","layer":3},{"info":"∃⊬-2DF01⩨NaN=NaN","layer":2},{"info":"∃⊬6DB⨁⊸⫻=∃⊬6DB","layer":3},{"info":"∃⊬4CD⫡⨏∃⊬A9F=∃⊬304E","layer":3},{"info":"∃⊬6DB⨪↰⇹∃⊬304E=∃⊬6DB","layer":2},{"info":"NaN≭∃⊬6DB=NaN","layer":1},{"info":"∃⊬79E∸=∃⊬B1","layer":3},{"info":"∃⊬671⨪↰⇹∃⊬924=∃⊬671","layer":3},{"info":"∃⊬B1∲⫓∃⊬671=∃⊬0","layer":2},{"info":"∃⊬DD8⪢∃⊬8AB=NaN","layer":3},{"info":"∃⊬1053↙∃⊬C46=∃⊬-24D2","layer":3},{"info":"NaN⇼⇔∾∃⊬-24D2=NaN","layer":2},{"info":"∃⊬0⪄NaN=NaN","layer":1},{"info":"NaN⊴NaN=NaN","layer":0}]}
{"id":969,"expression_no_base_symbol":"⇁⨣⪵(∂(($3421$∧)⫥∨⫟(⊥$6538$)))","expression":"⇁⨣⪵(∂((∃⊬D5D∧)⫥∨⫟(⊥∃⊬198A)))","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":163,"operation_count":5,"complexity_ratio":32.6,"tree":{"type":"unary","operator":"⇁⨣⪵","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3421,"base":16}},"right_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"numeric_atoms","value":6538,"base":16}}}}},"used_operators":["inkyxCbjAn","Uaa54Peajs","KYD54nUTWz","z63VuFQld9","Q3PJZHRvZv"],"dependent_operators":["B5M0gjZbta","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","8HhzD0ZcuI","rGHVDoGpnC","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","fu6greOZ01"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=3421","layer":4},{"info":"compute unary expreesion, input=3421, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=6538","layer":4},{"info":"compute unary expreesion, input=6538, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = 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 = inkyxCbjAn, unary_op_definition = '⇁⨣⪵a = { (a↬a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⇁⨣⪵(∂((∃⊬D5D∧)⫥∨⫟(⊥∃⊬198A)))=NaN","reverse_text":"NaN=⇁⨣⪵(∂((∃⊬D5D∧)⫥∨⫟(⊥∃⊬198A)))","cot":[{"info":"∃⊬D5D∧=NaN","layer":3},{"info":"⊥∃⊬198A=NaN","layer":3},{"info":"NaN⫥∨⫟NaN=NaN","layer":2},{"info":"∂NaN=NaN","layer":1},{"info":"⇁⨣⪵NaN=NaN","layer":0}]}
{"id":970,"expression_no_base_symbol":"(≤/((≉$8654$)⨵⪆$2619$↬$2050$))⨪↰⇹($1143$⪮%⊝$3434$∀⇚≩($1378$↛⩡⫤)⊭↱(≦∁$5083$⊴$2628$))","expression":"(≤/((≉∃⊬21CE)⨵⪆∃⊬A3B↬∃⊬802))⨪↰⇹(∃⊬477⪮%⊝∃⊬D6A∀⇚≩(∃⊬562↛⩡⫤)⊭↱(≦∁∃⊬13DB⊴∃⊬A44))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":30648,"operation_count":11,"complexity_ratio":2786.181818181818,"tree":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"≉","unary_expr":{"type":"numeric_atoms","value":8654,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":2619,"base":16},"right_expr":{"type":"numeric_atoms","value":2050,"base":16}}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":1143,"base":16},"right_expr":{"type":"numeric_atoms","value":3434,"base":16}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1378,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":5083,"base":16},"right_expr":{"type":"numeric_atoms","value":2628,"base":16}}}}},"used_operators":["tmPS8pqC7x","eLAdDNolq6","2DQ55sFlQl","e1ybzncUwg","B5M0gjZbta","COABgblf1C","LRNGc0VcxI","IWmyXbctLI","FU0Cs4j7VP","9ICcGScMcE","Nsiff2A1zJ"],"dependent_operators":["rJVOvQCfKK","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","dWAJyo7jo9","14qkJME0vr"],"result":"∃⊬144","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8654","layer":4},{"info":"compute unary expreesion, input=8654, op_id = e1ybzncUwg, unary_op_definition = '≉a = { (a+531) , if (-a)<=225 ; a , else }', output=9185","layer":3},{"info":"number node, value=2619","layer":4},{"info":"number node, value=2050","layer":4},{"info":"compute binary expreesion, left_input=2619, right_input=2050, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=9185, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute unary expreesion, input=160, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=324","layer":1},{"info":"number node, value=1143","layer":4},{"info":"number node, value=3434","layer":4},{"info":"compute binary expreesion, left_input=1143, right_input=3434, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=2602","layer":3},{"info":"number node, value=1378","layer":4},{"info":"compute unary expreesion, input=1378, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-204167","layer":3},{"info":"compute binary expreesion, left_input=2602, right_input=-204167, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=5083","layer":4},{"info":"number node, value=2628","layer":4},{"info":"compute binary expreesion, left_input=5083, right_input=2628, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=324, 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=324","layer":0}],"base":16,"result_base":16,"text":"(≤/((≉∃⊬21CE)⨵⪆∃⊬A3B↬∃⊬802))⨪↰⇹(∃⊬477⪮%⊝∃⊬D6A∀⇚≩(∃⊬562↛⩡⫤)⊭↱(≦∁∃⊬13DB⊴∃⊬A44))=∃⊬144","reverse_text":"∃⊬144=(≤/((≉∃⊬21CE)⨵⪆∃⊬A3B↬∃⊬802))⨪↰⇹(∃⊬477⪮%⊝∃⊬D6A∀⇚≩(∃⊬562↛⩡⫤)⊭↱(≦∁∃⊬13DB⊴∃⊬A44))","cot":[{"info":"≉∃⊬21CE=∃⊬23E1","layer":3},{"info":"∃⊬A3B↬∃⊬802=NaN","layer":3},{"info":"∃⊬23E1⨵⪆NaN=∃⊬A0","layer":2},{"info":"≤/∃⊬A0=∃⊬144","layer":1},{"info":"∃⊬477⪮%⊝∃⊬D6A=∃⊬A2A","layer":3},{"info":"∃⊬562↛⩡⫤=∃⊬-31D87","layer":3},{"info":"∃⊬A2A∀⇚≩∃⊬-31D87=NaN","layer":2},{"info":"∃⊬13DB⊴∃⊬A44=NaN","layer":3},{"info":"≦∁NaN=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"∃⊬144⨪↰⇹NaN=∃⊬144","layer":0}]}
{"id":971,"expression_no_base_symbol":"≤/(($1098$↛⩡⫤)∀⇚≩($1478$⨎$3674$)⊭↱($2177$⫡⨏$8101$)⨐⩸⫘($2083$⫸⊐$4685$))","expression":"≤/((∃⊬44A↛⩡⫤)∀⇚≩(∃⊬5C6⨎∃⊬E5A)⊭↱(∃⊬881⫡⨏∃⊬1FA5)⨐⩸⫘(∃⊬823⫸⊐∃⊬124D))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":1136677,"operation_count":8,"complexity_ratio":142084.625,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":1098,"base":16}},"right_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":1478,"base":16},"right_expr":{"type":"numeric_atoms","value":3674,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2177,"base":16},"right_expr":{"type":"numeric_atoms","value":8101,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":2083,"base":16},"right_expr":{"type":"numeric_atoms","value":4685,"base":16}}}}},"used_operators":["eLAdDNolq6","COABgblf1C","LRNGc0VcxI","FU0Cs4j7VP","rJVOvQCfKK","fu6greOZ01","QMFrweE19q","mqXw5SEYmG"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","3ViojmjbAp","W4YGzv6Whe","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1098","layer":4},{"info":"compute unary expreesion, input=1098, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-161887","layer":3},{"info":"number node, value=1478","layer":4},{"info":"number node, value=3674","layer":4},{"info":"compute binary expreesion, left_input=1478, right_input=3674, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=3674","layer":3},{"info":"compute binary expreesion, left_input=-161887, right_input=3674, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=2177","layer":4},{"info":"number node, value=8101","layer":4},{"info":"compute binary expreesion, left_input=2177, right_input=8101, 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=27870","layer":3},{"info":"number node, value=2083","layer":4},{"info":"number node, value=4685","layer":4},{"info":"compute binary expreesion, left_input=2083, right_input=4685, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=18615","layer":3},{"info":"compute binary expreesion, left_input=27870, right_input=18615, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"≤/((∃⊬44A↛⩡⫤)∀⇚≩(∃⊬5C6⨎∃⊬E5A)⊭↱(∃⊬881⫡⨏∃⊬1FA5)⨐⩸⫘(∃⊬823⫸⊐∃⊬124D))=NaN","reverse_text":"NaN=≤/((∃⊬44A↛⩡⫤)∀⇚≩(∃⊬5C6⨎∃⊬E5A)⊭↱(∃⊬881⫡⨏∃⊬1FA5)⨐⩸⫘(∃⊬823⫸⊐∃⊬124D))","cot":[{"info":"∃⊬44A↛⩡⫤=∃⊬-2785F","layer":3},{"info":"∃⊬5C6⨎∃⊬E5A=∃⊬E5A","layer":3},{"info":"∃⊬-2785F∀⇚≩∃⊬E5A=NaN","layer":2},{"info":"∃⊬881⫡⨏∃⊬1FA5=∃⊬6CDE","layer":3},{"info":"∃⊬823⫸⊐∃⊬124D=∃⊬48B7","layer":3},{"info":"∃⊬6CDE⨐⩸⫘∃⊬48B7=NaN","layer":2},{"info":"NaN⊭↱NaN=NaN","layer":1},{"info":"≤/NaN=NaN","layer":0}]}
{"id":972,"expression_no_base_symbol":"(((∂$7273$)*$2621$↙$1995$)≧⫂∧(-$2444$)↬($3133$⫸⊐$1360$))⨟⋌⩍(⪲⇎$1308$⊴$1404$)⊴(($1472$↙$1070$)↬($2737$≦≮≮))","expression":"(((∂∃⊬1C69)*∃⊬A3D↙∃⊬7CB)≧⫂∧(-∃⊬98C)↬(∃⊬C3D⫸⊐∃⊬550))⨟⋌⩍(⪲⇎∃⊬51C⊴∃⊬57C)⊴((∃⊬5C0↙∃⊬42E)↬(∃⊬AB1≦≮≮))","highest_n_order":5,"priority_hierarchical_complexity":10,"normalized_expansion_degree":4524,"operation_count":14,"complexity_ratio":323.14285714285717,"tree":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":7273,"base":16}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":2621,"base":16},"right_expr":{"type":"numeric_atoms","value":1995,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"numeric_atoms","value":2444,"base":16}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":3133,"base":16},"right_expr":{"type":"numeric_atoms","value":1360,"base":16}}}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1308,"base":16},"right_expr":{"type":"numeric_atoms","value":1404,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"numeric_atoms","value":1472,"base":16},"right_expr":{"type":"numeric_atoms","value":1070,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":2737,"base":16}}}}},"used_operators":["rGHVDoGpnC","Ph9nP6C5qx","9HNa5Wba9A","Uaa54Peajs","yyfyN0ffXY","B5M0gjZbta","t8gj7n24qd","mqXw5SEYmG","Nsiff2A1zJ","XPYlsWDdGa","D4vGDi5EA2"],"dependent_operators":["Tcnh7f0tEr","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","tmPS8pqC7x","DpFCA1CohY","rGHVDoGpnC","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","dWAJyo7jo9","14qkJME0vr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7273","layer":4},{"info":"compute unary expreesion, input=7273, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"number node, value=2621","layer":4},{"info":"number node, value=1995","layer":4},{"info":"compute binary expreesion, left_input=2621, right_input=1995, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-5985","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=-5985, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=nan","layer":2},{"info":"number node, value=2444","layer":4},{"info":"compute unary expreesion, input=2444, op_id = t8gj7n24qd, unary_op_definition = 'None', output=-2444","layer":3},{"info":"number node, value=3133","layer":4},{"info":"number node, value=1360","layer":4},{"info":"compute binary expreesion, left_input=3133, right_input=1360, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=5315","layer":3},{"info":"compute binary expreesion, left_input=-2444, right_input=5315, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":1},{"info":"number node, value=1308","layer":4},{"info":"number node, value=1404","layer":4},{"info":"compute binary expreesion, left_input=1308, right_input=1404, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=nan","layer":2},{"info":"number node, value=1472","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=1472, right_input=1070, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3210","layer":3},{"info":"number node, value=2737","layer":4},{"info":"compute unary expreesion, input=2737, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-8211","layer":3},{"info":"compute binary expreesion, left_input=-3210, right_input=-8211, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"(((∂∃⊬1C69)*∃⊬A3D↙∃⊬7CB)≧⫂∧(-∃⊬98C)↬(∃⊬C3D⫸⊐∃⊬550))⨟⋌⩍(⪲⇎∃⊬51C⊴∃⊬57C)⊴((∃⊬5C0↙∃⊬42E)↬(∃⊬AB1≦≮≮))=NaN","reverse_text":"NaN=(((∂∃⊬1C69)*∃⊬A3D↙∃⊬7CB)≧⫂∧(-∃⊬98C)↬(∃⊬C3D⫸⊐∃⊬550))⨟⋌⩍(⪲⇎∃⊬51C⊴∃⊬57C)⊴((∃⊬5C0↙∃⊬42E)↬(∃⊬AB1≦≮≮))","cot":[{"info":"∂∃⊬1C69=NaN","layer":3},{"info":"∃⊬A3D↙∃⊬7CB=∃⊬-1761","layer":3},{"info":"NaN*∃⊬-1761=NaN","layer":2},{"info":"-∃⊬98C=∃⊬-98C","layer":3},{"info":"∃⊬C3D⫸⊐∃⊬550=∃⊬14C3","layer":3},{"info":"∃⊬-98C↬∃⊬14C3=NaN","layer":2},{"info":"NaN≧⫂∧NaN=NaN","layer":1},{"info":"∃⊬51C⊴∃⊬57C=NaN","layer":3},{"info":"⪲⇎NaN=NaN","layer":2},{"info":"∃⊬5C0↙∃⊬42E=∃⊬-C8A","layer":3},{"info":"∃⊬AB1≦≮≮=∃⊬-2013","layer":3},{"info":"∃⊬-C8A↬∃⊬-2013=NaN","layer":2},{"info":"NaN⊴NaN=NaN","layer":1},{"info":"NaN⨟⋌⩍NaN=NaN","layer":0}]}
{"id":973,"expression_no_base_symbol":"⨵≀≌(($7105$⩨$4178$)∀⇚≩$1185$↬$4799$↛⩡⫤)","expression":"⨵≀≌((∃⊬1BC1⩨∃⊬1052)∀⇚≩∃⊬4A1↬∃⊬12BF↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":3,"normalized_expansion_degree":72,"operation_count":5,"complexity_ratio":14.4,"tree":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":7105,"base":16},"right_expr":{"type":"numeric_atoms","value":4178,"base":16}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":1185,"base":16},"right_expr":{"type":"numeric_atoms","value":4799,"base":16}}}}},"used_operators":["srAu1WTS94","FU0Cs4j7VP","LRNGc0VcxI","2DlMacCsIx","B5M0gjZbta"],"dependent_operators":["glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","X99M06cbEe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7105","layer":4},{"info":"number node, value=4178","layer":4},{"info":"compute binary expreesion, left_input=7105, right_input=4178, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=1185","layer":4},{"info":"number node, value=4799","layer":4},{"info":"compute binary expreesion, left_input=1185, right_input=4799, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , 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":"⨵≀≌((∃⊬1BC1⩨∃⊬1052)∀⇚≩∃⊬4A1↬∃⊬12BF↛⩡⫤)=NaN","reverse_text":"NaN=⨵≀≌((∃⊬1BC1⩨∃⊬1052)∀⇚≩∃⊬4A1↬∃⊬12BF↛⩡⫤)","cot":[{"info":"∃⊬1BC1⩨∃⊬1052=∃⊬0","layer":3},{"info":"∃⊬4A1↬∃⊬12BF=NaN","layer":3},{"info":"∃⊬0∀⇚≩NaN=NaN","layer":2},{"info":"NaN↛⩡⫤=NaN","layer":1},{"info":"⨵≀≌NaN=NaN","layer":0}]}
{"id":974,"expression_no_base_symbol":"(⊙↵-($1020$⪨≂$4089$))⨟⋌⩍(⨵≀≌$1059$⨽$1731$)∼((↥($4554$∧))↙(⪲⇎($5652$/$1070$)))","expression":"(⊙↵-(∃⊬3FC⪨≂∃⊬FF9))⨟⋌⩍(⨵≀≌∃⊬423⨽∃⊬6C3)∼((↥(∃⊬11CA∧))↙(⪲⇎(∃⊬1614/∃⊬42E)))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":3375487,"operation_count":11,"complexity_ratio":306862.45454545453,"tree":{"type":"binary","operator":"∼","left_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"unary","operator":"⊙↵-","unary_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":1020,"base":16},"right_expr":{"type":"numeric_atoms","value":4089,"base":16}}},"right_expr":{"type":"unary","operator":"⨵≀≌","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1059,"base":16},"right_expr":{"type":"numeric_atoms","value":1731,"base":16}}}},"right_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"↥","unary_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4554,"base":16}}},"right_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"/","left_expr":{"type":"numeric_atoms","value":5652,"base":16},"right_expr":{"type":"numeric_atoms","value":1070,"base":16}}}}},"used_operators":["DyGG3AbaNP","rGHVDoGpnC","oWn0xqSxBt","sdazOOVcIp","srAu1WTS94","8HhzD0ZcuI","yyfyN0ffXY","A8NUZmVepG","z63VuFQld9","XPYlsWDdGa","XhwjNDsVaA"],"dependent_operators":["rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr","dWAJyo7jo9","7j4O788W3g","12rbrZMWeM","2DQ55sFlQl","u6S6b8DprG","mqXw5SEYmG","oacrs7FA3X","rysDP5nf3Z","t8gj7n24qd","glklzrTFfD","DpFCA1CohY","XPYlsWDdGa","9HNa5Wba9A","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","tmPS8pqC7x","DpFCA1CohY","k8jYdgA6NY","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1020","layer":4},{"info":"number node, value=4089","layer":4},{"info":"compute binary expreesion, left_input=1020, right_input=4089, 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=-6036","layer":3},{"info":"compute unary expreesion, input=-6036, op_id = oWn0xqSxBt, unary_op_definition = '⊙↵-a = { (((a⋳⪒a)⨵⪆(a⪢a))⪘⫢((a⫸⊐a)↺(↽≂a))) }', output=196","layer":2},{"info":"number node, value=1059","layer":4},{"info":"number node, value=1731","layer":4},{"info":"compute binary expreesion, left_input=1059, right_input=1731, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-3368322","layer":3},{"info":"compute unary expreesion, input=-3368322, op_id = srAu1WTS94, unary_op_definition = '⨵≀≌a = { (a*a) , if (a⨁⊸⫻)!=892 and (⪲⇎a)<454 ; (⋗⩬⋾a) , else }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=196, right_input=inf, 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=4554","layer":4},{"info":"compute unary expreesion, input=4554, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = A8NUZmVepG, unary_op_definition = '↥a = { (a%51) }', output=nan","layer":2},{"info":"number node, value=5652","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=5652, right_input=1070, op_id = XhwjNDsVaA binary_op_definition= 'None', output=5","layer":3},{"info":"compute unary expreesion, input=5, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=10","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=10, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 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":"(⊙↵-(∃⊬3FC⪨≂∃⊬FF9))⨟⋌⩍(⨵≀≌∃⊬423⨽∃⊬6C3)∼((↥(∃⊬11CA∧))↙(⪲⇎(∃⊬1614/∃⊬42E)))=NaN","reverse_text":"NaN=(⊙↵-(∃⊬3FC⪨≂∃⊬FF9))⨟⋌⩍(⨵≀≌∃⊬423⨽∃⊬6C3)∼((↥(∃⊬11CA∧))↙(⪲⇎(∃⊬1614/∃⊬42E)))","cot":[{"info":"∃⊬3FC⪨≂∃⊬FF9=∃⊬-1794","layer":3},{"info":"⊙↵-∃⊬-1794=∃⊬C4","layer":2},{"info":"∃⊬423⨽∃⊬6C3=∃⊬-336582","layer":3},{"info":"⨵≀≌∃⊬-336582=Inf","layer":2},{"info":"∃⊬C4⨟⋌⩍Inf=NaN","layer":1},{"info":"∃⊬11CA∧=NaN","layer":3},{"info":"↥NaN=NaN","layer":2},{"info":"∃⊬1614/∃⊬42E=∃⊬5","layer":3},{"info":"⪲⇎∃⊬5=∃⊬A","layer":2},{"info":"NaN↙∃⊬A=NaN","layer":1},{"info":"NaN∼NaN=NaN","layer":0}]}
{"id":975,"expression_no_base_symbol":"((+⊝⨔$6177$)∲⫓$1791$⩷∴$4966$)⨰($1558$≎⊠⪸$5787$⫸⊐($2925$-$8194$))⨽((-(⋗⩬⋾$2411$))↺(⊄⩳↩($6453$⋷$1028$)))","expression":"((+⊝⨔∃⊬1821)∲⫓∃⊬6FF⩷∴∃⊬1366)⨰(∃⊬616≎⊠⪸∃⊬169B⫸⊐(∃⊬B6D-∃⊬2002))⨽((-(⋗⩬⋾∃⊬96B))↺(⊄⩳↩(∃⊬1935⋷∃⊬404)))","highest_n_order":3,"priority_hierarchical_complexity":9,"normalized_expansion_degree":12566,"operation_count":13,"complexity_ratio":966.6153846153846,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":6177,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1791,"base":16},"right_expr":{"type":"numeric_atoms","value":4966,"base":16}}},"right_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1558,"base":16},"right_expr":{"type":"numeric_atoms","value":5787,"base":16}},"right_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":2925,"base":16},"right_expr":{"type":"numeric_atoms","value":8194,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"-","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2411,"base":16}}},"right_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":6453,"base":16},"right_expr":{"type":"numeric_atoms","value":1028,"base":16}}}}},"used_operators":["8HhzD0ZcuI","eewbuw0ToL","i8ToyICDmI","DhbWaqg5eL","9FxExcQeMw","mqXw5SEYmG","bJkvcejdHO","rysDP5nf3Z","7j4O788W3g","t8gj7n24qd","DpFCA1CohY","8w2t5hMYqp","23Mk6UjR3U"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","rysDP5nf3Z","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-1A9CD246","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6177","layer":4},{"info":"compute unary expreesion, input=6177, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=1791","layer":4},{"info":"number node, value=4966","layer":4},{"info":"compute binary expreesion, left_input=1791, right_input=4966, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-6382","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=-6382, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=1522","layer":2},{"info":"number node, value=1558","layer":4},{"info":"number node, value=5787","layer":4},{"info":"compute binary expreesion, left_input=1558, right_input=5787, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=403049","layer":3},{"info":"number node, value=2925","layer":4},{"info":"number node, value=8194","layer":4},{"info":"compute binary expreesion, left_input=2925, right_input=8194, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-5269","layer":3},{"info":"compute binary expreesion, left_input=403049, right_input=-5269, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=-10667","layer":2},{"info":"compute binary expreesion, left_input=1522, right_input=-10667, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=12199","layer":1},{"info":"number node, value=2411","layer":4},{"info":"compute unary expreesion, input=2411, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-7233","layer":3},{"info":"compute unary expreesion, input=-7233, op_id = t8gj7n24qd, unary_op_definition = 'None', output=7233","layer":2},{"info":"number node, value=6453","layer":4},{"info":"number node, value=1028","layer":4},{"info":"compute binary expreesion, left_input=6453, right_input=1028, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-4397","layer":3},{"info":"compute unary expreesion, input=-4397, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=13191","layer":2},{"info":"compute binary expreesion, left_input=7233, right_input=13191, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=13191","layer":1},{"info":"compute binary expreesion, left_input=12199, right_input=13191, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-446485062","layer":0}],"base":16,"result_base":16,"text":"((+⊝⨔∃⊬1821)∲⫓∃⊬6FF⩷∴∃⊬1366)⨰(∃⊬616≎⊠⪸∃⊬169B⫸⊐(∃⊬B6D-∃⊬2002))⨽((-(⋗⩬⋾∃⊬96B))↺(⊄⩳↩(∃⊬1935⋷∃⊬404)))=∃⊬-1A9CD246","reverse_text":"∃⊬-1A9CD246=((+⊝⨔∃⊬1821)∲⫓∃⊬6FF⩷∴∃⊬1366)⨰(∃⊬616≎⊠⪸∃⊬169B⫸⊐(∃⊬B6D-∃⊬2002))⨽((-(⋗⩬⋾∃⊬96B))↺(⊄⩳↩(∃⊬1935⋷∃⊬404)))","cot":[{"info":"+⊝⨔∃⊬1821=∃⊬5F2","layer":3},{"info":"∃⊬6FF⩷∴∃⊬1366=∃⊬-18EE","layer":3},{"info":"∃⊬5F2∲⫓∃⊬-18EE=∃⊬5F2","layer":2},{"info":"∃⊬616≎⊠⪸∃⊬169B=∃⊬62669","layer":3},{"info":"∃⊬B6D-∃⊬2002=∃⊬-1495","layer":3},{"info":"∃⊬62669⫸⊐∃⊬-1495=∃⊬-29AB","layer":2},{"info":"∃⊬5F2⨰∃⊬-29AB=∃⊬2FA7","layer":1},{"info":"⋗⩬⋾∃⊬96B=∃⊬-1C41","layer":3},{"info":"-∃⊬-1C41=∃⊬1C41","layer":2},{"info":"∃⊬1935⋷∃⊬404=∃⊬-112D","layer":3},{"info":"⊄⩳↩∃⊬-112D=∃⊬3387","layer":2},{"info":"∃⊬1C41↺∃⊬3387=∃⊬3387","layer":1},{"info":"∃⊬2FA7⨽∃⊬3387=∃⊬-1A9CD246","layer":0}]}
{"id":976,"expression_no_base_symbol":"(($4058$⨳⩥⨓$4447$↛⩡⫤)≧⫂∧($6196$⨵⪆$1629$)⪛($1117$⩚⊴⇥$7938$))⇷((($2062$⋫)*($4059$⩤))⨰($2428$⨪↰⇹$2137$)⪢($3113$⨵⪆$1625$))","expression":"((∃⊬FDA⨳⩥⨓∃⊬115F↛⩡⫤)≧⫂∧(∃⊬1834⨵⪆∃⊬65D)⪛(∃⊬45D⩚⊴⇥∃⊬1F02))⇷(((∃⊬80E⋫)*(∃⊬FDB⩤))⨰(∃⊬97C⨪↰⇹∃⊬859)⪢(∃⊬C29⨵⪆∃⊬659))","highest_n_order":3,"priority_hierarchical_complexity":8,"normalized_expansion_degree":650535,"operation_count":14,"complexity_ratio":46466.78571428572,"tree":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"numeric_atoms","value":4058,"base":16},"right_expr":{"type":"numeric_atoms","value":4447,"base":16}}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":6196,"base":16},"right_expr":{"type":"numeric_atoms","value":1629,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":1117,"base":16},"right_expr":{"type":"numeric_atoms","value":7938,"base":16}}}},"right_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"numeric_atoms","value":2062,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":4059,"base":16}}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2428,"base":16},"right_expr":{"type":"numeric_atoms","value":2137,"base":16}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":3113,"base":16},"right_expr":{"type":"numeric_atoms","value":1625,"base":16}}}}},"used_operators":["mp7IySMOzn","Ph9nP6C5qx","FU0Cs4j7VP","nCS4ZIUYfx","uFcxV4UQCh","2DQ55sFlQl","NTOWxs364D","eewbuw0ToL","9HNa5Wba9A","JL8yIekQnl","Z2TMIBDE3Q","dWAJyo7jo9","tmPS8pqC7x"],"dependent_operators":["DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","rysDP5nf3Z","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY","rJVOvQCfKK"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4058","layer":4},{"info":"number node, value=4447","layer":4},{"info":"compute binary expreesion, left_input=4058, right_input=4447, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=389","layer":3},{"info":"compute unary expreesion, input=389, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-54828","layer":2},{"info":"number node, value=6196","layer":4},{"info":"number node, value=1629","layer":4},{"info":"compute binary expreesion, left_input=6196, right_input=1629, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=1117","layer":4},{"info":"number node, value=7938","layer":4},{"info":"compute binary expreesion, left_input=1117, right_input=7938, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-9176","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=-9176, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=-9016","layer":2},{"info":"compute binary expreesion, left_input=-54828, right_input=-9016, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=-45812","layer":1},{"info":"number node, value=2062","layer":4},{"info":"compute unary expreesion, input=2062, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=2062","layer":3},{"info":"number node, value=4059","layer":4},{"info":"compute unary expreesion, input=4059, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-4059","layer":3},{"info":"compute binary expreesion, left_input=2062, right_input=-4059, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-8369658","layer":2},{"info":"number node, value=2428","layer":4},{"info":"number node, value=2137","layer":4},{"info":"compute binary expreesion, left_input=2428, right_input=2137, 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=2428","layer":3},{"info":"number node, value=3113","layer":4},{"info":"number node, value=1625","layer":4},{"info":"compute binary expreesion, left_input=3113, right_input=1625, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute binary expreesion, left_input=2428, right_input=160, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-8369658, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-45812, 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":"((∃⊬FDA⨳⩥⨓∃⊬115F↛⩡⫤)≧⫂∧(∃⊬1834⨵⪆∃⊬65D)⪛(∃⊬45D⩚⊴⇥∃⊬1F02))⇷(((∃⊬80E⋫)*(∃⊬FDB⩤))⨰(∃⊬97C⨪↰⇹∃⊬859)⪢(∃⊬C29⨵⪆∃⊬659))=NaN","reverse_text":"NaN=((∃⊬FDA⨳⩥⨓∃⊬115F↛⩡⫤)≧⫂∧(∃⊬1834⨵⪆∃⊬65D)⪛(∃⊬45D⩚⊴⇥∃⊬1F02))⇷(((∃⊬80E⋫)*(∃⊬FDB⩤))⨰(∃⊬97C⨪↰⇹∃⊬859)⪢(∃⊬C29⨵⪆∃⊬659))","cot":[{"info":"∃⊬FDA⨳⩥⨓∃⊬115F=∃⊬185","layer":3},{"info":"∃⊬185↛⩡⫤=∃⊬-D62C","layer":2},{"info":"∃⊬1834⨵⪆∃⊬65D=∃⊬A0","layer":3},{"info":"∃⊬45D⩚⊴⇥∃⊬1F02=∃⊬-23D8","layer":3},{"info":"∃⊬A0⪛∃⊬-23D8=∃⊬-2338","layer":2},{"info":"∃⊬-D62C≧⫂∧∃⊬-2338=∃⊬-B2F4","layer":1},{"info":"∃⊬80E⋫=∃⊬80E","layer":3},{"info":"∃⊬FDB⩤=∃⊬-FDB","layer":3},{"info":"∃⊬80E*∃⊬-FDB=∃⊬-7FB5FA","layer":2},{"info":"∃⊬97C⨪↰⇹∃⊬859=∃⊬97C","layer":3},{"info":"∃⊬C29⨵⪆∃⊬659=∃⊬A0","layer":3},{"info":"∃⊬97C⪢∃⊬A0=NaN","layer":2},{"info":"∃⊬-7FB5FA⨰NaN=NaN","layer":1},{"info":"∃⊬-B2F4⇷NaN=NaN","layer":0}]}
{"id":977,"expression_no_base_symbol":"(⨰⫟⨤($3319$⨰$5347$)∀⇚≩$1644$⊴$3402$)∲⫓($6253$⨸⪁$3900$*(⨈⫕$1221$))⨪↰⇹($5306$↬$1827$)⇷($2491$⫡⨏$1317$)","expression":"(⨰⫟⨤(∃⊬CF7⨰∃⊬14E3)∀⇚≩∃⊬66C⊴∃⊬D4A)∲⫓(∃⊬186D⨸⪁∃⊬F3C*(⨈⫕∃⊬4C5))⨪↰⇹(∃⊬14BA↬∃⊬723)⇷(∃⊬9BB⫡⨏∃⊬525)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":444421,"operation_count":12,"complexity_ratio":37035.083333333336,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":3319,"base":16},"right_expr":{"type":"numeric_atoms","value":5347,"base":16}},"right_expr":{"type":"binary","operator":"⊴","left_expr":{"type":"numeric_atoms","value":1644,"base":16},"right_expr":{"type":"numeric_atoms","value":3402,"base":16}}}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"binary","operator":"⨸⪁","left_expr":{"type":"numeric_atoms","value":6253,"base":16},"right_expr":{"type":"numeric_atoms","value":3900,"base":16}},"right_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"numeric_atoms","value":1221,"base":16}}},"right_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":5306,"base":16},"right_expr":{"type":"numeric_atoms","value":1827,"base":16}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2491,"base":16},"right_expr":{"type":"numeric_atoms","value":1317,"base":16}}}}},"used_operators":["i8ToyICDmI","Tw270M8GLb","LRNGc0VcxI","eewbuw0ToL","Nsiff2A1zJ","tmPS8pqC7x","9HNa5Wba9A","g55IO6H4Gj","megm06wKyl","mp7IySMOzn","B5M0gjZbta","QMFrweE19q"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","X99M06cbEe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","14qkJME0vr","rJVOvQCfKK","W4YGzv6Whe","W4YGzv6Whe","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","rGHVDoGpnC","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3319","layer":4},{"info":"number node, value=5347","layer":4},{"info":"compute binary expreesion, left_input=3319, right_input=5347, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-2018","layer":3},{"info":"number node, value=1644","layer":4},{"info":"number node, value=3402","layer":4},{"info":"compute binary expreesion, left_input=1644, right_input=3402, op_id = Nsiff2A1zJ binary_op_definition= 'a⊴b = { ((a⪢b)⊦⊿) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-2018, right_input=nan, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":1},{"info":"number node, value=6253","layer":4},{"info":"number node, value=3900","layer":4},{"info":"compute binary expreesion, left_input=6253, right_input=3900, op_id = g55IO6H4Gj binary_op_definition= 'a⨸⪁b = { ((a+b)+(b+a)) }', output=20306","layer":3},{"info":"number node, value=1221","layer":4},{"info":"compute unary expreesion, input=1221, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":3},{"info":"compute binary expreesion, left_input=20306, right_input=-21, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=-426426","layer":2},{"info":"number node, value=5306","layer":4},{"info":"number node, value=1827","layer":4},{"info":"compute binary expreesion, left_input=5306, right_input=1827, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"number node, value=2491","layer":4},{"info":"number node, value=1317","layer":4},{"info":"compute binary expreesion, left_input=2491, right_input=1317, 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=15872","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=15872, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=31744","layer":2},{"info":"compute binary expreesion, left_input=-426426, right_input=31744, 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=-426426","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=-426426, 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":"(⨰⫟⨤(∃⊬CF7⨰∃⊬14E3)∀⇚≩∃⊬66C⊴∃⊬D4A)∲⫓(∃⊬186D⨸⪁∃⊬F3C*(⨈⫕∃⊬4C5))⨪↰⇹(∃⊬14BA↬∃⊬723)⇷(∃⊬9BB⫡⨏∃⊬525)=NaN","reverse_text":"NaN=(⨰⫟⨤(∃⊬CF7⨰∃⊬14E3)∀⇚≩∃⊬66C⊴∃⊬D4A)∲⫓(∃⊬186D⨸⪁∃⊬F3C*(⨈⫕∃⊬4C5))⨪↰⇹(∃⊬14BA↬∃⊬723)⇷(∃⊬9BB⫡⨏∃⊬525)","cot":[{"info":"∃⊬CF7⨰∃⊬14E3=∃⊬-7E2","layer":3},{"info":"∃⊬66C⊴∃⊬D4A=NaN","layer":3},{"info":"∃⊬-7E2∀⇚≩NaN=NaN","layer":2},{"info":"⨰⫟⨤NaN=NaN","layer":1},{"info":"∃⊬186D⨸⪁∃⊬F3C=∃⊬4F52","layer":3},{"info":"⨈⫕∃⊬4C5=∃⊬-15","layer":3},{"info":"∃⊬4F52*∃⊬-15=∃⊬-681BA","layer":2},{"info":"∃⊬14BA↬∃⊬723=NaN","layer":3},{"info":"∃⊬9BB⫡⨏∃⊬525=∃⊬3E00","layer":3},{"info":"NaN⇷∃⊬3E00=∃⊬7C00","layer":2},{"info":"∃⊬-681BA⨪↰⇹∃⊬7C00=∃⊬-681BA","layer":1},{"info":"NaN∲⫓∃⊬-681BA=NaN","layer":0}]}
{"id":978,"expression_no_base_symbol":"((⨰⫟⨤$2822$)↺$5326$⪛$2984$/($7404$⋷$3758$⫡⨏(↣≠⋷$3135$)))↺(($1946$⨰$3917$⊘)⪒(+⊝⨔$3118$)⋓($3559$*$5778$))","expression":"((⨰⫟⨤∃⊬B06)↺∃⊬14CE⪛∃⊬BA8/(∃⊬1CEC⋷∃⊬EAE⫡⨏(↣≠⋷∃⊬C3F)))↺((∃⊬79A⨰∃⊬F4D⊘)⪒(+⊝⨔∃⊬C2E)⋓(∃⊬DE7*∃⊬1692))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":14112,"operation_count":14,"complexity_ratio":1008.0,"tree":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"/","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2822,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5326,"base":16},"right_expr":{"type":"numeric_atoms","value":2984,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":7404,"base":16},"right_expr":{"type":"numeric_atoms","value":3758,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":3135,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1946,"base":16},"right_expr":{"type":"numeric_atoms","value":3917,"base":16}}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"unary","operator":"+⊝⨔","unary_expr":{"type":"numeric_atoms","value":3118,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":3559,"base":16},"right_expr":{"type":"numeric_atoms","value":5778,"base":16}}}}},"used_operators":["7j4O788W3g","XhwjNDsVaA","Tw270M8GLb","uFcxV4UQCh","QMFrweE19q","23Mk6UjR3U","Asc51vEJeQ","f6k1SAg4EE","gu96TGCTMs","eewbuw0ToL","T2fj7uvVaJ","DhbWaqg5eL","9HNa5Wba9A"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","dWAJyo7jo9","t8gj7n24qd","oacrs7FA3X","glklzrTFfD","eH2TOUuTDT","AF7qkfDlqP","2DlMacCsIx","mqXw5SEYmG","9FxExcQeMw","XPYlsWDdGa","W4YGzv6Whe","W4YGzv6Whe"],"result":"∃⊬1","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2822","layer":4},{"info":"compute unary expreesion, input=2822, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=5326","layer":4},{"info":"number node, value=2984","layer":4},{"info":"compute binary expreesion, left_input=5326, right_input=2984, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=2342","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2342, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=2342","layer":2},{"info":"number node, value=7404","layer":4},{"info":"number node, value=3758","layer":4},{"info":"compute binary expreesion, left_input=7404, right_input=3758, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=112","layer":3},{"info":"number node, value=3135","layer":4},{"info":"compute unary expreesion, input=3135, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=112, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2342, right_input=nan, op_id = XhwjNDsVaA binary_op_definition= 'None', output=nan","layer":1},{"info":"number node, value=1946","layer":4},{"info":"number node, value=3917","layer":4},{"info":"compute binary expreesion, left_input=1946, right_input=3917, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-1961","layer":3},{"info":"compute unary expreesion, input=-1961, 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":2},{"info":"number node, value=3118","layer":4},{"info":"compute unary expreesion, input=3118, op_id = DhbWaqg5eL, unary_op_definition = '+⊝⨔a = { ((⪲⇎(⨑⩽⪐14))⨁⊸⫻) , if (a⫸⊐100)!=276 or (a⩷∴98)>390 ; (((a⪐)⪢(a⫸⊐221))+((a⩨a)⪘⫢(-370))) , else }', output=1522","layer":3},{"info":"number node, value=3559","layer":4},{"info":"number node, value=5778","layer":4},{"info":"compute binary expreesion, left_input=3559, right_input=5778, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=20563902","layer":3},{"info":"compute binary expreesion, left_input=1522, right_input=20563902, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":2},{"info":"compute binary expreesion, left_input=-1, right_input=0, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=1","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=1, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1","layer":0}],"base":16,"result_base":16,"text":"((⨰⫟⨤∃⊬B06)↺∃⊬14CE⪛∃⊬BA8/(∃⊬1CEC⋷∃⊬EAE⫡⨏(↣≠⋷∃⊬C3F)))↺((∃⊬79A⨰∃⊬F4D⊘)⪒(+⊝⨔∃⊬C2E)⋓(∃⊬DE7*∃⊬1692))=∃⊬1","reverse_text":"∃⊬1=((⨰⫟⨤∃⊬B06)↺∃⊬14CE⪛∃⊬BA8/(∃⊬1CEC⋷∃⊬EAE⫡⨏(↣≠⋷∃⊬C3F)))↺((∃⊬79A⨰∃⊬F4D⊘)⪒(+⊝⨔∃⊬C2E)⋓(∃⊬DE7*∃⊬1692))","cot":[{"info":"⨰⫟⨤∃⊬B06=NaN","layer":3},{"info":"∃⊬14CE⪛∃⊬BA8=∃⊬926","layer":3},{"info":"NaN↺∃⊬926=∃⊬926","layer":2},{"info":"∃⊬1CEC⋷∃⊬EAE=∃⊬70","layer":3},{"info":"↣≠⋷∃⊬C3F=NaN","layer":3},{"info":"∃⊬70⫡⨏NaN=NaN","layer":2},{"info":"∃⊬926/NaN=NaN","layer":1},{"info":"∃⊬79A⨰∃⊬F4D=∃⊬-7A9","layer":3},{"info":"∃⊬-7A9⊘=∃⊬-1","layer":2},{"info":"+⊝⨔∃⊬C2E=∃⊬5F2","layer":3},{"info":"∃⊬DE7*∃⊬1692=∃⊬139C7BE","layer":3},{"info":"∃⊬5F2⋓∃⊬139C7BE=∃⊬0","layer":2},{"info":"∃⊬-1⪒∃⊬0=∃⊬1","layer":1},{"info":"NaN↺∃⊬1=∃⊬1","layer":0}]}
{"id":979,"expression_no_base_symbol":"≦∁($1168$≎⊠⪸$2089$⪒$8765$⫥∨⫟$1441$)⨎(($1017$⪠⩆⊳)⋥≓≎(⨰⫟⨤$5828$))","expression":"≦∁(∃⊬490≎⊠⪸∃⊬829⪒∃⊬223D⫥∨⫟∃⊬5A1)⨎((∃⊬3F9⪠⩆⊳)⋥≓≎(⨰⫟⨤∃⊬16C4))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":22911,"operation_count":8,"complexity_ratio":2863.875,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1168,"base":16},"right_expr":{"type":"numeric_atoms","value":2089,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":8765,"base":16},"right_expr":{"type":"numeric_atoms","value":1441,"base":16}}},"right_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"⪠⩆⊳","unary_expr":{"type":"numeric_atoms","value":1017,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":5828,"base":16}}}}},"used_operators":["9ICcGScMcE","rJVOvQCfKK","f6k1SAg4EE","bJkvcejdHO","KYD54nUTWz","Qy55tPpLXF","JLbD19bQDL","Tw270M8GLb"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","8HhzD0ZcuI","rGHVDoGpnC","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1168","layer":4},{"info":"number node, value=2089","layer":4},{"info":"compute binary expreesion, left_input=1168, right_input=2089, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=302039","layer":3},{"info":"number node, value=8765","layer":4},{"info":"number node, value=1441","layer":4},{"info":"compute binary expreesion, left_input=8765, right_input=1441, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=302039, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":2},{"info":"number node, value=1017","layer":4},{"info":"compute unary expreesion, input=1017, op_id = JLbD19bQDL, unary_op_definition = 'a⪠⩆⊳ = { ((a+a)-((a-a)+(a+a))) , if ((-a)!=71 or a<=364) ; (-((a+a)+(a-a))) , else }', output=0","layer":3},{"info":"number node, value=5828","layer":4},{"info":"compute unary expreesion, input=5828, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=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":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=nan","layer":1},{"info":"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":"≦∁(∃⊬490≎⊠⪸∃⊬829⪒∃⊬223D⫥∨⫟∃⊬5A1)⨎((∃⊬3F9⪠⩆⊳)⋥≓≎(⨰⫟⨤∃⊬16C4))=NaN","reverse_text":"NaN=≦∁(∃⊬490≎⊠⪸∃⊬829⪒∃⊬223D⫥∨⫟∃⊬5A1)⨎((∃⊬3F9⪠⩆⊳)⋥≓≎(⨰⫟⨤∃⊬16C4))","cot":[{"info":"∃⊬490≎⊠⪸∃⊬829=∃⊬49BD7","layer":3},{"info":"∃⊬223D⫥∨⫟∃⊬5A1=NaN","layer":3},{"info":"∃⊬49BD7⪒NaN=NaN","layer":2},{"info":"∃⊬3F9⪠⩆⊳=∃⊬0","layer":3},{"info":"⨰⫟⨤∃⊬16C4=NaN","layer":3},{"info":"∃⊬0⋥≓≎NaN=NaN","layer":2},{"info":"NaN⨎NaN=NaN","layer":1},{"info":"≦∁NaN=NaN","layer":0}]}
{"id":980,"expression_no_base_symbol":"($5283$⪮%⊝$2767$⨪↰⇹($4171$⋓$1630$))⪘⫢(($1050$↺$1482$)≭$2857$⨟⋌⩍$1391$)⨽(-$5411$⪛$2456$↙$3677$⪛$1236$)","expression":"(∃⊬14A3⪮%⊝∃⊬ACF⨪↰⇹(∃⊬104B⋓∃⊬65E))⪘⫢((∃⊬41A↺∃⊬5CA)≭∃⊬B29⨟⋌⩍∃⊬56F)⨽(-∃⊬1523⪛∃⊬998↙∃⊬E5D⪛∃⊬4D4)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":12146,"operation_count":12,"complexity_ratio":1012.1666666666666,"tree":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":5283,"base":16},"right_expr":{"type":"numeric_atoms","value":2767,"base":16}},"right_expr":{"type":"binary","operator":"⋓","left_expr":{"type":"numeric_atoms","value":4171,"base":16},"right_expr":{"type":"numeric_atoms","value":1630,"base":16}}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"numeric_atoms","value":1050,"base":16},"right_expr":{"type":"numeric_atoms","value":1482,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":2857,"base":16},"right_expr":{"type":"numeric_atoms","value":1391,"base":16}}}},"right_expr":{"type":"unary","operator":"-","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":5411,"base":16},"right_expr":{"type":"numeric_atoms","value":2456,"base":16}},"right_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3677,"base":16},"right_expr":{"type":"numeric_atoms","value":1236,"base":16}}}}},"used_operators":["8HhzD0ZcuI","oacrs7FA3X","tmPS8pqC7x","IWmyXbctLI","T2fj7uvVaJ","rxpJgHHUmx","7j4O788W3g","rGHVDoGpnC","t8gj7n24qd","yyfyN0ffXY","uFcxV4UQCh"],"dependent_operators":["nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rJVOvQCfKK","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","dWAJyo7jo9","xNBdhnnwKq","DIvbN7qnHd","k8jYdgA6NY","f6k1SAg4EE","23Mk6UjR3U","EBcxylXtPf","oacrs7FA3X","srAu1WTS94","AHs5Up7iyr","rysDP5nf3Z","t8gj7n24qd","Tcnh7f0tEr","tmPS8pqC7x","DpFCA1CohY","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=5283","layer":4},{"info":"number node, value=2767","layer":4},{"info":"compute binary expreesion, left_input=5283, right_input=2767, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=10882","layer":3},{"info":"number node, value=4171","layer":4},{"info":"number node, value=1630","layer":4},{"info":"compute binary expreesion, left_input=4171, right_input=1630, op_id = T2fj7uvVaJ binary_op_definition= 'a⋓b = { (((60⪒b)⊭∹↮)%((a⪘⫢68)⪘⫢(⨵≀≌a))) , if (b>=803 and b<=372 and b<242) ; (16⪢((b⊠≄⫣)⋷(a⫌⩹⨱))) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=10882, right_input=0, op_id = tmPS8pqC7x binary_op_definition= 'a⨪↰⇹b = {a, if a == 0; (b)⨎((a-1)⨪↰⇹b), if a > 0 and abs(a) < 1000000; -(b)⨎((a+1)⨪↰⇹b), if a < 0 and abs(a) < 1000000; NaN, else}', output=10882","layer":2},{"info":"number node, value=1050","layer":4},{"info":"number node, value=1482","layer":4},{"info":"compute binary expreesion, left_input=1050, right_input=1482, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=1482","layer":3},{"info":"number node, value=2857","layer":4},{"info":"number node, value=1391","layer":4},{"info":"compute binary expreesion, left_input=2857, right_input=1391, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1482, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=10882, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":1},{"info":"number node, value=5411","layer":4},{"info":"number node, value=2456","layer":4},{"info":"compute binary expreesion, left_input=5411, right_input=2456, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=499","layer":3},{"info":"number node, value=3677","layer":4},{"info":"number node, value=1236","layer":4},{"info":"compute binary expreesion, left_input=3677, right_input=1236, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1205","layer":3},{"info":"compute binary expreesion, left_input=499, right_input=1205, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=-3615","layer":2},{"info":"compute unary expreesion, input=-3615, op_id = t8gj7n24qd, unary_op_definition = 'None', output=3615","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=3615, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(∃⊬14A3⪮%⊝∃⊬ACF⨪↰⇹(∃⊬104B⋓∃⊬65E))⪘⫢((∃⊬41A↺∃⊬5CA)≭∃⊬B29⨟⋌⩍∃⊬56F)⨽(-∃⊬1523⪛∃⊬998↙∃⊬E5D⪛∃⊬4D4)=NaN","reverse_text":"NaN=(∃⊬14A3⪮%⊝∃⊬ACF⨪↰⇹(∃⊬104B⋓∃⊬65E))⪘⫢((∃⊬41A↺∃⊬5CA)≭∃⊬B29⨟⋌⩍∃⊬56F)⨽(-∃⊬1523⪛∃⊬998↙∃⊬E5D⪛∃⊬4D4)","cot":[{"info":"∃⊬14A3⪮%⊝∃⊬ACF=∃⊬2A82","layer":3},{"info":"∃⊬104B⋓∃⊬65E=∃⊬0","layer":3},{"info":"∃⊬2A82⨪↰⇹∃⊬0=∃⊬2A82","layer":2},{"info":"∃⊬41A↺∃⊬5CA=∃⊬5CA","layer":3},{"info":"∃⊬B29⨟⋌⩍∃⊬56F=NaN","layer":3},{"info":"∃⊬5CA≭NaN=NaN","layer":2},{"info":"∃⊬2A82⪘⫢NaN=NaN","layer":1},{"info":"∃⊬1523⪛∃⊬998=∃⊬1F3","layer":3},{"info":"∃⊬E5D⪛∃⊬4D4=∃⊬4B5","layer":3},{"info":"∃⊬1F3↙∃⊬4B5=∃⊬-E1F","layer":2},{"info":"-∃⊬-E1F=∃⊬E1F","layer":1},{"info":"NaN⨽∃⊬E1F=NaN","layer":0}]}
{"id":981,"expression_no_base_symbol":"⊄⩳↩(($8968$⩠)⋳⪒($4079$∧)∲⫓$1005$⨰$1330$⨳⩥⨓($3209$⪨≂$3544$))","expression":"⊄⩳↩((∃⊬2308⩠)⋳⪒(∃⊬FEF∧)∲⫓∃⊬3ED⨰∃⊬532⨳⩥⨓(∃⊬C89⪨≂∃⊬DD8))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":49,"operation_count":8,"complexity_ratio":6.125,"tree":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"numeric_atoms","value":8968,"base":16}},"right_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":4079,"base":16}}},"right_expr":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":1005,"base":16},"right_expr":{"type":"numeric_atoms","value":1330,"base":16}},"right_expr":{"type":"binary","operator":"⪨≂","left_expr":{"type":"numeric_atoms","value":3209,"base":16},"right_expr":{"type":"numeric_atoms","value":3544,"base":16}}}}},"used_operators":["8w2t5hMYqp","i8ToyICDmI","12rbrZMWeM","sJAwomhLZr","z63VuFQld9","nCS4ZIUYfx","eewbuw0ToL","sdazOOVcIp"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","W4YGzv6Whe","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=8968","layer":4},{"info":"compute unary expreesion, input=8968, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=0","layer":3},{"info":"number node, value=4079","layer":4},{"info":"compute unary expreesion, input=4079, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=nan","layer":2},{"info":"number node, value=1005","layer":4},{"info":"number node, value=1330","layer":4},{"info":"compute binary expreesion, left_input=1005, right_input=1330, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=-315","layer":3},{"info":"number node, value=3209","layer":4},{"info":"number node, value=3544","layer":4},{"info":"compute binary expreesion, left_input=3209, right_input=3544, 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=-568","layer":3},{"info":"compute binary expreesion, left_input=-315, right_input=-568, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-253","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-253, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , 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":"⊄⩳↩((∃⊬2308⩠)⋳⪒(∃⊬FEF∧)∲⫓∃⊬3ED⨰∃⊬532⨳⩥⨓(∃⊬C89⪨≂∃⊬DD8))=NaN","reverse_text":"NaN=⊄⩳↩((∃⊬2308⩠)⋳⪒(∃⊬FEF∧)∲⫓∃⊬3ED⨰∃⊬532⨳⩥⨓(∃⊬C89⪨≂∃⊬DD8))","cot":[{"info":"∃⊬2308⩠=∃⊬0","layer":3},{"info":"∃⊬FEF∧=NaN","layer":3},{"info":"∃⊬0⋳⪒NaN=NaN","layer":2},{"info":"∃⊬3ED⨰∃⊬532=∃⊬-13B","layer":3},{"info":"∃⊬C89⪨≂∃⊬DD8=∃⊬-238","layer":3},{"info":"∃⊬-13B⨳⩥⨓∃⊬-238=∃⊬-FD","layer":2},{"info":"NaN∲⫓∃⊬-FD=NaN","layer":1},{"info":"⊄⩳↩NaN=NaN","layer":0}]}
{"id":982,"expression_no_base_symbol":"⋗⩬⋾($1512$+$8631$)⇷($3088$⋷$6540$)+⇶⊼(↩$4224$∼$5245$)","expression":"⋗⩬⋾(∃⊬5E8+∃⊬21B7)⇷(∃⊬C10⋷∃⊬198C)+⇶⊼(↩∃⊬1080∼∃⊬147D)","highest_n_order":5,"priority_hierarchical_complexity":6,"normalized_expansion_degree":142119,"operation_count":7,"complexity_ratio":20302.714285714286,"tree":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"+","left_expr":{"type":"numeric_atoms","value":1512,"base":16},"right_expr":{"type":"numeric_atoms","value":8631,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3088,"base":16},"right_expr":{"type":"numeric_atoms","value":6540,"base":16}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"∼","left_expr":{"type":"numeric_atoms","value":4224,"base":16},"right_expr":{"type":"numeric_atoms","value":5245,"base":16}}}}},"used_operators":["DpFCA1CohY","TpPTUOHfaN","mp7IySMOzn","W4YGzv6Whe","23Mk6UjR3U","jLgFTUHLKL","DyGG3AbaNP"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=1512","layer":4},{"info":"number node, value=8631","layer":4},{"info":"compute binary expreesion, left_input=1512, right_input=8631, op_id = W4YGzv6Whe binary_op_definition= 'None', output=10143","layer":3},{"info":"number node, value=3088","layer":4},{"info":"number node, value=6540","layer":4},{"info":"compute binary expreesion, left_input=3088, right_input=6540, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=9992","layer":3},{"info":"compute binary expreesion, left_input=10143, right_input=9992, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=19984","layer":2},{"info":"number node, value=4224","layer":4},{"info":"number node, value=5245","layer":4},{"info":"compute binary expreesion, left_input=4224, right_input=5245, op_id = DyGG3AbaNP binary_op_definition= 'a∼b = { ((a≹⇙⪍b)⋷(a⨪↰⇹a)) , if (a∸)<63 ; ((20⨟⋌⩍b)⨪↰⇹(↥a)) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=19984, right_input=nan, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"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":"⋗⩬⋾(∃⊬5E8+∃⊬21B7)⇷(∃⊬C10⋷∃⊬198C)+⇶⊼(↩∃⊬1080∼∃⊬147D)=NaN","reverse_text":"NaN=⋗⩬⋾(∃⊬5E8+∃⊬21B7)⇷(∃⊬C10⋷∃⊬198C)+⇶⊼(↩∃⊬1080∼∃⊬147D)","cot":[{"info":"∃⊬5E8+∃⊬21B7=∃⊬279F","layer":3},{"info":"∃⊬C10⋷∃⊬198C=∃⊬2708","layer":3},{"info":"∃⊬279F⇷∃⊬2708=∃⊬4E10","layer":2},{"info":"∃⊬1080∼∃⊬147D=NaN","layer":3},{"info":"↩NaN=NaN","layer":2},{"info":"∃⊬4E10+⇶⊼NaN=NaN","layer":1},{"info":"⋗⩬⋾NaN=NaN","layer":0}]}
{"id":983,"expression_no_base_symbol":"((∂($7064$↪⪝))≎⊠⪸($1375$∀⇚≩$1284$⊭↱$2848$⋳⪒$3295$))⨰(($4554$≣⋋)⨰$1651$∀⇚≩$5889$⋝⋈⪟($3833$⪛$2581$↺(⨰⫟⨤$1085$)))","expression":"((∂(∃⊬1B98↪⪝))≎⊠⪸(∃⊬55F∀⇚≩∃⊬504⊭↱∃⊬B20⋳⪒∃⊬CDF))⨰((∃⊬11CA≣⋋)⨰∃⊬673∀⇚≩∃⊬1701⋝⋈⪟(∃⊬EF9⪛∃⊬A15↺(⨰⫟⨤∃⊬43D)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":25942,"operation_count":14,"complexity_ratio":1853.0,"tree":{"type":"binary","operator":"⨰","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"numeric_atoms","value":7064,"base":16}}},"right_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1375,"base":16},"right_expr":{"type":"numeric_atoms","value":1284,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":2848,"base":16},"right_expr":{"type":"numeric_atoms","value":3295,"base":16}}}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"unary","operator":"≣⋋","unary_expr":{"type":"numeric_atoms","value":4554,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":1651,"base":16},"right_expr":{"type":"numeric_atoms","value":5889,"base":16}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⪛","left_expr":{"type":"numeric_atoms","value":3833,"base":16},"right_expr":{"type":"numeric_atoms","value":2581,"base":16}},"right_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":1085,"base":16}}}}},"used_operators":["eewbuw0ToL","bJkvcejdHO","Uaa54Peajs","l07mrZUIn9","COABgblf1C","LRNGc0VcxI","12rbrZMWeM","2DDjHMKMc0","Tcnh7f0tEr","7j4O788W3g","uFcxV4UQCh","Tw270M8GLb"],"dependent_operators":["rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","dWAJyo7jo9","XhwjNDsVaA","DIvbN7qnHd","Qy55tPpLXF","tmPS8pqC7x","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","9HNa5Wba9A","u6S6b8DprG","k8jYdgA6NY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=7064","layer":4},{"info":"compute unary expreesion, input=7064, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=432189648","layer":3},{"info":"compute unary expreesion, input=432189648, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":2},{"info":"number node, value=1375","layer":4},{"info":"number node, value=1284","layer":4},{"info":"compute binary expreesion, left_input=1375, right_input=1284, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"number node, value=2848","layer":4},{"info":"number node, value=3295","layer":4},{"info":"compute binary expreesion, left_input=2848, right_input=3295, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=2114","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2114, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":1},{"info":"number node, value=4554","layer":4},{"info":"compute unary expreesion, input=4554, op_id = Tcnh7f0tEr, unary_op_definition = 'a≣⋋ = { ((a/a)⋥≓≎(a⨪↰⇹248)) , if (a⪢148)<38 ; ((511*a)⊠≄⫣) , else }', output=0","layer":3},{"info":"number node, value=1651","layer":4},{"info":"number node, value=5889","layer":4},{"info":"compute binary expreesion, left_input=1651, right_input=5889, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=nan","layer":2},{"info":"number node, value=3833","layer":4},{"info":"number node, value=2581","layer":4},{"info":"compute binary expreesion, left_input=3833, right_input=2581, op_id = uFcxV4UQCh binary_op_definition= 'a⪛b = { (a%b) , if (↽≂b)!=229 ; (a*b) , else }', output=1252","layer":3},{"info":"number node, value=1085","layer":4},{"info":"compute unary expreesion, input=1085, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1252, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=67, 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":"((∂(∃⊬1B98↪⪝))≎⊠⪸(∃⊬55F∀⇚≩∃⊬504⊭↱∃⊬B20⋳⪒∃⊬CDF))⨰((∃⊬11CA≣⋋)⨰∃⊬673∀⇚≩∃⊬1701⋝⋈⪟(∃⊬EF9⪛∃⊬A15↺(⨰⫟⨤∃⊬43D)))=NaN","reverse_text":"NaN=((∂(∃⊬1B98↪⪝))≎⊠⪸(∃⊬55F∀⇚≩∃⊬504⊭↱∃⊬B20⋳⪒∃⊬CDF))⨰((∃⊬11CA≣⋋)⨰∃⊬673∀⇚≩∃⊬1701⋝⋈⪟(∃⊬EF9⪛∃⊬A15↺(⨰⫟⨤∃⊬43D)))","cot":[{"info":"∃⊬1B98↪⪝=∃⊬19C2B0D0","layer":3},{"info":"∂∃⊬19C2B0D0=NaN","layer":2},{"info":"∃⊬55F∀⇚≩∃⊬504=NaN","layer":3},{"info":"∃⊬B20⋳⪒∃⊬CDF=∃⊬842","layer":3},{"info":"NaN⊭↱∃⊬842=NaN","layer":2},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":1},{"info":"∃⊬11CA≣⋋=∃⊬0","layer":3},{"info":"∃⊬673∀⇚≩∃⊬1701=NaN","layer":3},{"info":"∃⊬0⨰NaN=NaN","layer":2},{"info":"∃⊬EF9⪛∃⊬A15=∃⊬4E4","layer":3},{"info":"⨰⫟⨤∃⊬43D=NaN","layer":3},{"info":"∃⊬4E4↺NaN=NaN","layer":2},{"info":"NaN⋝⋈⪟NaN=NaN","layer":1},{"info":"∃⊬43⨰NaN=NaN","layer":0}]}
{"id":984,"expression_no_base_symbol":"(($1711$⪄$3508$)⇷($2441$⩚⊴⇥$1129$)↙((∂$1744$)⊦⊿))⋝⋈⪟(↔(($3581$∧)≎⊠⪸$4004$⨟⋌⩍$2676$))","expression":"((∃⊬6AF⪄∃⊬DB4)⇷(∃⊬989⩚⊴⇥∃⊬469)↙((∂∃⊬6D0)⊦⊿))⋝⋈⪟(↔((∃⊬DFD∧)≎⊠⪸∃⊬FA4⨟⋌⩍∃⊬A74))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":3687028,"operation_count":11,"complexity_ratio":335184.36363636365,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"↙","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":1711,"base":16},"right_expr":{"type":"numeric_atoms","value":3508,"base":16}},"right_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"numeric_atoms","value":2441,"base":16},"right_expr":{"type":"numeric_atoms","value":1129,"base":16}}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"unary","operator":"∂","unary_expr":{"type":"numeric_atoms","value":1744,"base":16}}}},"right_expr":{"type":"unary","operator":"↔","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"unary","operator":"∧","unary_expr":{"type":"numeric_atoms","value":3581,"base":16}},"right_expr":{"type":"binary","operator":"⨟⋌⩍","left_expr":{"type":"numeric_atoms","value":4004,"base":16},"right_expr":{"type":"numeric_atoms","value":2676,"base":16}}}}},"used_operators":["2DDjHMKMc0","yyfyN0ffXY","mp7IySMOzn","SUmda5xLS4","NTOWxs364D","14qkJME0vr","Uaa54Peajs","ruOEQAzv1W","bJkvcejdHO","z63VuFQld9","rGHVDoGpnC"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","tmPS8pqC7x","DpFCA1CohY","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","B5M0gjZbta","g55IO6H4Gj","f6k1SAg4EE","3ViojmjbAp","XhwjNDsVaA","Qy55tPpLXF","12rbrZMWeM","AF7qkfDlqP","D4vGDi5EA2","EBcxylXtPf","23Mk6UjR3U","8w2t5hMYqp","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","B5M0gjZbta","t8gj7n24qd","2DDjHMKMc0","k8jYdgA6NY","mqXw5SEYmG","23Mk6UjR3U","AHs5Up7iyr","Tcnh7f0tEr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1711","layer":4},{"info":"number node, value=3508","layer":4},{"info":"compute binary expreesion, left_input=1711, right_input=3508, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-263349","layer":3},{"info":"number node, value=2441","layer":4},{"info":"number node, value=1129","layer":4},{"info":"compute binary expreesion, left_input=2441, right_input=1129, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-3691","layer":3},{"info":"compute binary expreesion, left_input=-263349, right_input=-3691, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=1744","layer":4},{"info":"compute unary expreesion, input=1744, op_id = Uaa54Peajs, unary_op_definition = '∂a = { (a⪒264) , if ((a⨓405)<13 and a<=191 and (a⨸⪁774)!=889) ; (a↬a) , else }', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":1},{"info":"number node, value=3581","layer":4},{"info":"compute unary expreesion, input=3581, op_id = z63VuFQld9, unary_op_definition = 'a∧ = { ((a⋷a)≹⇙⪍(a↬a)) , if (-a)<=39 ; ((a%a)⋝⋈⪟(a⫸⊐a)) , else }', output=nan","layer":3},{"info":"number node, value=4004","layer":4},{"info":"number node, value=2676","layer":4},{"info":"compute binary expreesion, left_input=4004, right_input=2676, op_id = rGHVDoGpnC binary_op_definition= 'a⨟⋌⩍b = {a, if b == 0; (a⨟⋌⩍(b-1))≣⋋, if b > 0 and abs(b) < 1000; -(a⨟⋌⩍(b+1))≣⋋, if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=67","layer":2},{"info":"compute unary expreesion, input=67, op_id = ruOEQAzv1W, unary_op_definition = '↔a = { (⨑⩽⪐a) , if (a≦≮≮)<69 ; (((a⋳⪒a)⋥≓≎(a/a))⋷(⊄⩳↩(a⫌⩹⨱))) , else }', output=206","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=206, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬6AF⪄∃⊬DB4)⇷(∃⊬989⩚⊴⇥∃⊬469)↙((∂∃⊬6D0)⊦⊿))⋝⋈⪟(↔((∃⊬DFD∧)≎⊠⪸∃⊬FA4⨟⋌⩍∃⊬A74))=NaN","reverse_text":"NaN=((∃⊬6AF⪄∃⊬DB4)⇷(∃⊬989⩚⊴⇥∃⊬469)↙((∂∃⊬6D0)⊦⊿))⋝⋈⪟(↔((∃⊬DFD∧)≎⊠⪸∃⊬FA4⨟⋌⩍∃⊬A74))","cot":[{"info":"∃⊬6AF⪄∃⊬DB4=∃⊬-404B5","layer":3},{"info":"∃⊬989⩚⊴⇥∃⊬469=∃⊬-E6B","layer":3},{"info":"∃⊬-404B5⇷∃⊬-E6B=NaN","layer":2},{"info":"∂∃⊬6D0=NaN","layer":3},{"info":"NaN⊦⊿=NaN","layer":2},{"info":"NaN↙NaN=NaN","layer":1},{"info":"∃⊬DFD∧=NaN","layer":3},{"info":"∃⊬FA4⨟⋌⩍∃⊬A74=NaN","layer":3},{"info":"NaN≎⊠⪸NaN=∃⊬43","layer":2},{"info":"↔∃⊬43=∃⊬CE","layer":1},{"info":"NaN⋝⋈⪟∃⊬CE=NaN","layer":0}]}
{"id":985,"expression_no_base_symbol":"(($2679$⩷∴$3499$%($3313$⋷$1223$))∲⫓(⫓⪴($1373$⊭↱$6511$)))⨳⩥⨓(($1256$≫≃)⊉≛↸(⋗⩬⋾$6799$))∑⇟⊟($5185$⪄$1671$)∀⇚≩($3858$≦≮≮)","expression":"((∃⊬A77⩷∴∃⊬DAB%(∃⊬CF1⋷∃⊬4C7))∲⫓(⫓⪴(∃⊬55D⊭↱∃⊬196F)))⨳⩥⨓((∃⊬4E8≫≃)⊉≛↸(⋗⩬⋾∃⊬1A8F))∑⇟⊟(∃⊬1441⪄∃⊬687)∀⇚≩(∃⊬F12≦≮≮)","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5401484,"operation_count":14,"complexity_ratio":385820.28571428574,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":2679,"base":16},"right_expr":{"type":"numeric_atoms","value":3499,"base":16}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"numeric_atoms","value":3313,"base":16},"right_expr":{"type":"numeric_atoms","value":1223,"base":16}}},"right_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":1373,"base":16},"right_expr":{"type":"numeric_atoms","value":6511,"base":16}}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"unary","operator":"≫≃","unary_expr":{"type":"numeric_atoms","value":1256,"base":16}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":6799,"base":16}}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":5185,"base":16},"right_expr":{"type":"numeric_atoms","value":1671,"base":16}},"right_expr":{"type":"unary","operator":"≦≮≮","unary_expr":{"type":"numeric_atoms","value":3858,"base":16}}}}},"used_operators":["nCS4ZIUYfx","i8ToyICDmI","k8jYdgA6NY","9FxExcQeMw","23Mk6UjR3U","eLxqMNBOBk","COABgblf1C","U7g4x0WXJJ","DZ8iAZOCBD","X99M06cbEe","DpFCA1CohY","LRNGc0VcxI","SUmda5xLS4","D4vGDi5EA2"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","9HNa5Wba9A","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","2td37pGCOC","D4vGDi5EA2","EBcxylXtPf","9HNa5Wba9A","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe","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=2679","layer":4},{"info":"number node, value=3499","layer":4},{"info":"compute binary expreesion, left_input=2679, right_input=3499, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-1672","layer":3},{"info":"number node, value=3313","layer":4},{"info":"number node, value=1223","layer":4},{"info":"compute binary expreesion, left_input=3313, right_input=1223, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=-867","layer":3},{"info":"compute binary expreesion, left_input=-1672, right_input=-867, op_id = k8jYdgA6NY binary_op_definition= 'None', output=-805","layer":2},{"info":"number node, value=1373","layer":4},{"info":"number node, value=6511","layer":4},{"info":"compute binary expreesion, left_input=1373, right_input=6511, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=10281","layer":3},{"info":"compute unary expreesion, input=10281, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=105698961","layer":2},{"info":"compute binary expreesion, left_input=-805, right_input=105698961, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":1},{"info":"number node, value=1256","layer":4},{"info":"compute unary expreesion, input=1256, op_id = X99M06cbEe, unary_op_definition = 'a≫≃ = { (a*315) , if (a≦≮≮)>=13 and (⩦⩻⨪a)!=26 and a>=80 ; (a⫌⩹⨱) , else }', output=3913","layer":3},{"info":"number node, value=6799","layer":4},{"info":"compute unary expreesion, input=6799, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-20397","layer":3},{"info":"compute binary expreesion, left_input=3913, right_input=-20397, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=7826","layer":2},{"info":"number node, value=5185","layer":4},{"info":"number node, value=1671","layer":4},{"info":"compute binary expreesion, left_input=5185, right_input=1671, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-770153","layer":3},{"info":"number node, value=3858","layer":4},{"info":"compute unary expreesion, input=3858, op_id = D4vGDi5EA2, unary_op_definition = 'a≦≮≮ = { (-(a+(a+a))) }', output=-11574","layer":3},{"info":"compute binary expreesion, left_input=-770153, right_input=-11574, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7826, right_input=nan, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"((∃⊬A77⩷∴∃⊬DAB%(∃⊬CF1⋷∃⊬4C7))∲⫓(⫓⪴(∃⊬55D⊭↱∃⊬196F)))⨳⩥⨓((∃⊬4E8≫≃)⊉≛↸(⋗⩬⋾∃⊬1A8F))∑⇟⊟(∃⊬1441⪄∃⊬687)∀⇚≩(∃⊬F12≦≮≮)=NaN","reverse_text":"NaN=((∃⊬A77⩷∴∃⊬DAB%(∃⊬CF1⋷∃⊬4C7))∲⫓(⫓⪴(∃⊬55D⊭↱∃⊬196F)))⨳⩥⨓((∃⊬4E8≫≃)⊉≛↸(⋗⩬⋾∃⊬1A8F))∑⇟⊟(∃⊬1441⪄∃⊬687)∀⇚≩(∃⊬F12≦≮≮)","cot":[{"info":"∃⊬A77⩷∴∃⊬DAB=∃⊬-688","layer":3},{"info":"∃⊬CF1⋷∃⊬4C7=∃⊬-363","layer":3},{"info":"∃⊬-688%∃⊬-363=∃⊬-325","layer":2},{"info":"∃⊬55D⊭↱∃⊬196F=∃⊬2829","layer":3},{"info":"⫓⪴∃⊬2829=∃⊬64CD691","layer":2},{"info":"∃⊬-325∲⫓∃⊬64CD691=∃⊬0","layer":1},{"info":"∃⊬4E8≫≃=∃⊬F49","layer":3},{"info":"⋗⩬⋾∃⊬1A8F=∃⊬-4FAD","layer":3},{"info":"∃⊬F49⊉≛↸∃⊬-4FAD=∃⊬1E92","layer":2},{"info":"∃⊬1441⪄∃⊬687=∃⊬-BC069","layer":3},{"info":"∃⊬F12≦≮≮=∃⊬-2D36","layer":3},{"info":"∃⊬-BC069∀⇚≩∃⊬-2D36=NaN","layer":2},{"info":"∃⊬1E92∑⇟⊟NaN=NaN","layer":1},{"info":"∃⊬0⨳⩥⨓NaN=NaN","layer":0}]}
{"id":986,"expression_no_base_symbol":"($6086$*$1837$)⨓($2958$⩤)↺(($4518$⨵⪆$1180$)⪄$2685$+⇶⊼$1670$)+(↩($1655$⩨$1026$)⇷($2419$≭$2136$))","expression":"(∃⊬17C6*∃⊬72D)⨓(∃⊬B8E⩤)↺((∃⊬11A6⨵⪆∃⊬49C)⪄∃⊬A7D+⇶⊼∃⊬686)+(↩(∃⊬677⩨∃⊬402)⇷(∃⊬973≭∃⊬858))","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":4932,"operation_count":12,"complexity_ratio":411.0,"tree":{"type":"binary","operator":"+","left_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":6086,"base":16},"right_expr":{"type":"numeric_atoms","value":1837,"base":16}},"right_expr":{"type":"unary","operator":"⩤","unary_expr":{"type":"numeric_atoms","value":2958,"base":16}}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":4518,"base":16},"right_expr":{"type":"numeric_atoms","value":1180,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":2685,"base":16},"right_expr":{"type":"numeric_atoms","value":1670,"base":16}}}},"right_expr":{"type":"unary","operator":"↩","unary_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":1655,"base":16},"right_expr":{"type":"numeric_atoms","value":1026,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":2419,"base":16},"right_expr":{"type":"numeric_atoms","value":2136,"base":16}}}}},"used_operators":["W4YGzv6Whe","7j4O788W3g","3ViojmjbAp","9HNa5Wba9A","Z2TMIBDE3Q","SUmda5xLS4","2DQ55sFlQl","TpPTUOHfaN","jLgFTUHLKL","mp7IySMOzn","2DlMacCsIx","rxpJgHHUmx"],"dependent_operators":["rysDP5nf3Z","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","AHs5Up7iyr","sdazOOVcIp","t8gj7n24qd","eLAdDNolq6","BjRHVeLaeN","Ph9nP6C5qx","xUOZtlo3hN","k8jYdgA6NY","AF7qkfDlqP","N41Kp7NANJ","NTOWxs364D","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","AHs5Up7iyr"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=6086","layer":4},{"info":"number node, value=1837","layer":4},{"info":"compute binary expreesion, left_input=6086, right_input=1837, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=11179982","layer":3},{"info":"number node, value=2958","layer":4},{"info":"compute unary expreesion, input=2958, op_id = Z2TMIBDE3Q, unary_op_definition = 'a⩤ = { (a-a) , if (-a)==434 ; (-a) , else }', output=-2958","layer":3},{"info":"compute binary expreesion, left_input=11179982, right_input=-2958, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=2955","layer":2},{"info":"number node, value=4518","layer":4},{"info":"number node, value=1180","layer":4},{"info":"compute binary expreesion, left_input=4518, right_input=1180, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"number node, value=2685","layer":4},{"info":"number node, value=1670","layer":4},{"info":"compute binary expreesion, left_input=2685, right_input=1670, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=160, right_input=nan, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=2955, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"number node, value=1655","layer":4},{"info":"number node, value=1026","layer":4},{"info":"compute binary expreesion, left_input=1655, right_input=1026, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=0","layer":3},{"info":"number node, value=2419","layer":4},{"info":"number node, value=2136","layer":4},{"info":"compute binary expreesion, left_input=2419, right_input=2136, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = jLgFTUHLKL, unary_op_definition = '↩a = { (((83≧⫂∧a)⪨≂(⨑⩽⪐a))≋⫹) , if ((≤/a)>=675 or (a⫩⊇)!=134) ; (⨞⊢((a%a)⩚⊴⇥(-a))) , else }', output=nan","layer":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":"(∃⊬17C6*∃⊬72D)⨓(∃⊬B8E⩤)↺((∃⊬11A6⨵⪆∃⊬49C)⪄∃⊬A7D+⇶⊼∃⊬686)+(↩(∃⊬677⩨∃⊬402)⇷(∃⊬973≭∃⊬858))=NaN","reverse_text":"NaN=(∃⊬17C6*∃⊬72D)⨓(∃⊬B8E⩤)↺((∃⊬11A6⨵⪆∃⊬49C)⪄∃⊬A7D+⇶⊼∃⊬686)+(↩(∃⊬677⩨∃⊬402)⇷(∃⊬973≭∃⊬858))","cot":[{"info":"∃⊬17C6*∃⊬72D=∃⊬AA97CE","layer":3},{"info":"∃⊬B8E⩤=∃⊬-B8E","layer":3},{"info":"∃⊬AA97CE⨓∃⊬-B8E=∃⊬B8B","layer":2},{"info":"∃⊬11A6⨵⪆∃⊬49C=∃⊬A0","layer":3},{"info":"∃⊬A7D+⇶⊼∃⊬686=NaN","layer":3},{"info":"∃⊬A0⪄NaN=NaN","layer":2},{"info":"∃⊬B8B↺NaN=NaN","layer":1},{"info":"∃⊬677⩨∃⊬402=∃⊬0","layer":3},{"info":"∃⊬973≭∃⊬858=NaN","layer":3},{"info":"∃⊬0⇷NaN=NaN","layer":2},{"info":"↩NaN=NaN","layer":1},{"info":"NaN+NaN=NaN","layer":0}]}
{"id":987,"expression_no_base_symbol":"≤/((⊥($2883$⨵⪆$1126$))-(($2374$⪒$3611$)⋫))","expression":"≤/((⊥(∃⊬B43⨵⪆∃⊬466))-((∃⊬946⪒∃⊬E1B)⋫))","highest_n_order":4,"priority_hierarchical_complexity":5,"normalized_expansion_degree":32551,"operation_count":6,"complexity_ratio":5425.166666666667,"tree":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"numeric_atoms","value":2883,"base":16},"right_expr":{"type":"numeric_atoms","value":1126,"base":16}}},"right_expr":{"type":"unary","operator":"⋫","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":2374,"base":16},"right_expr":{"type":"numeric_atoms","value":3611,"base":16}}}}},"used_operators":["eLAdDNolq6","rysDP5nf3Z","Q3PJZHRvZv","2DQ55sFlQl","JL8yIekQnl","f6k1SAg4EE"],"dependent_operators":["rysDP5nf3Z","fu6greOZ01","rysDP5nf3Z","t8gj7n24qd","tmPS8pqC7x","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬19E8","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2883","layer":4},{"info":"number node, value=1126","layer":4},{"info":"compute binary expreesion, left_input=2883, right_input=1126, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":3},{"info":"compute unary expreesion, input=160, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', output=-163","layer":2},{"info":"number node, value=2374","layer":4},{"info":"number node, value=3611","layer":4},{"info":"compute binary expreesion, left_input=2374, right_input=3611, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-5985","layer":3},{"info":"compute unary expreesion, input=-5985, op_id = JL8yIekQnl, unary_op_definition = 'a⋫ = { (a⨪↰⇹a) }', output=5985","layer":2},{"info":"compute binary expreesion, left_input=-163, right_input=5985, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-6148","layer":1},{"info":"compute unary expreesion, input=-6148, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=6632","layer":0}],"base":16,"result_base":16,"text":"≤/((⊥(∃⊬B43⨵⪆∃⊬466))-((∃⊬946⪒∃⊬E1B)⋫))=∃⊬19E8","reverse_text":"∃⊬19E8=≤/((⊥(∃⊬B43⨵⪆∃⊬466))-((∃⊬946⪒∃⊬E1B)⋫))","cot":[{"info":"∃⊬B43⨵⪆∃⊬466=∃⊬A0","layer":3},{"info":"⊥∃⊬A0=∃⊬-A3","layer":2},{"info":"∃⊬946⪒∃⊬E1B=∃⊬-1761","layer":3},{"info":"∃⊬-1761⋫=∃⊬1761","layer":2},{"info":"∃⊬-A3-∃⊬1761=∃⊬-1804","layer":1},{"info":"≤/∃⊬-1804=∃⊬19E8","layer":0}]}
{"id":988,"expression_no_base_symbol":"(↯⪼(($4563$⊉≛↸$1573$)⪄$3659$⪄$1212$))⪒(⩦⩻⨪$3455$⋥≓≎$5652$)⨓($1985$⨽$4082$)↬($3932$⫌⩹⨱)","expression":"(↯⪼((∃⊬11D3⊉≛↸∃⊬625)⪄∃⊬E4B⪄∃⊬4BC))⪒(⩦⩻⨪∃⊬D7F⋥≓≎∃⊬1614)⨓(∃⊬7C1⨽∃⊬FF2)↬(∃⊬F5C⫌⩹⨱)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":2241,"operation_count":11,"complexity_ratio":203.72727272727272,"tree":{"type":"binary","operator":"⪒","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⊉≛↸","left_expr":{"type":"numeric_atoms","value":4563,"base":16},"right_expr":{"type":"numeric_atoms","value":1573,"base":16}},"right_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":3659,"base":16},"right_expr":{"type":"numeric_atoms","value":1212,"base":16}}}},"right_expr":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":3455,"base":16},"right_expr":{"type":"numeric_atoms","value":5652,"base":16}}},"right_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"numeric_atoms","value":1985,"base":16},"right_expr":{"type":"numeric_atoms","value":4082,"base":16}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"numeric_atoms","value":3932,"base":16}}}}},"used_operators":["f6k1SAg4EE","8jW3W4yZS5","SUmda5xLS4","DZ8iAZOCBD","3ViojmjbAp","2td37pGCOC","Qy55tPpLXF","B5M0gjZbta","8HhzD0ZcuI","EBcxylXtPf"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","W4YGzv6Whe","rysDP5nf3Z"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4563","layer":4},{"info":"number node, value=1573","layer":4},{"info":"compute binary expreesion, left_input=4563, right_input=1573, op_id = DZ8iAZOCBD binary_op_definition= 'a⊉≛↸b = { ((-a)+(a-b)) , if (-a)>=60 ; (a-(-a)) , else }', output=9126","layer":3},{"info":"number node, value=3659","layer":4},{"info":"number node, value=1212","layer":4},{"info":"compute binary expreesion, left_input=3659, right_input=1212, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-542469","layer":3},{"info":"compute binary expreesion, left_input=9126, right_input=-542469, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=823139","layer":2},{"info":"compute unary expreesion, input=823139, 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=3455","layer":4},{"info":"number node, value=5652","layer":4},{"info":"compute binary expreesion, left_input=3455, right_input=5652, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=7882","layer":3},{"info":"compute unary expreesion, input=7882, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=7882","layer":2},{"info":"number node, value=1985","layer":4},{"info":"number node, value=4082","layer":4},{"info":"compute binary expreesion, left_input=1985, right_input=4082, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=-11831607","layer":3},{"info":"number node, value=3932","layer":4},{"info":"compute unary expreesion, input=3932, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=9265","layer":3},{"info":"compute binary expreesion, left_input=-11831607, right_input=9265, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=7882, right_input=nan, op_id = 3ViojmjbAp binary_op_definition= 'a⨓b = { ((b⨪↰⇹a)⇼⇔∾(b⩨b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(↯⪼((∃⊬11D3⊉≛↸∃⊬625)⪄∃⊬E4B⪄∃⊬4BC))⪒(⩦⩻⨪∃⊬D7F⋥≓≎∃⊬1614)⨓(∃⊬7C1⨽∃⊬FF2)↬(∃⊬F5C⫌⩹⨱)=NaN","reverse_text":"NaN=(↯⪼((∃⊬11D3⊉≛↸∃⊬625)⪄∃⊬E4B⪄∃⊬4BC))⪒(⩦⩻⨪∃⊬D7F⋥≓≎∃⊬1614)⨓(∃⊬7C1⨽∃⊬FF2)↬(∃⊬F5C⫌⩹⨱)","cot":[{"info":"∃⊬11D3⊉≛↸∃⊬625=∃⊬23A6","layer":3},{"info":"∃⊬E4B⪄∃⊬4BC=∃⊬-84705","layer":3},{"info":"∃⊬23A6⪄∃⊬-84705=∃⊬C8F63","layer":2},{"info":"↯⪼∃⊬C8F63=∃⊬-15","layer":1},{"info":"∃⊬D7F⋥≓≎∃⊬1614=∃⊬1ECA","layer":3},{"info":"⩦⩻⨪∃⊬1ECA=∃⊬1ECA","layer":2},{"info":"∃⊬7C1⨽∃⊬FF2=∃⊬-B48937","layer":3},{"info":"∃⊬F5C⫌⩹⨱=∃⊬2431","layer":3},{"info":"∃⊬-B48937↬∃⊬2431=NaN","layer":2},{"info":"∃⊬1ECA⨓NaN=NaN","layer":1},{"info":"∃⊬-15⪒NaN=NaN","layer":0}]}
{"id":989,"expression_no_base_symbol":"((↽≂($3019$⩨$3863$))⩚⊴⇥($1048$*$3303$↪⪝))⪘⫢(∥⊫(⩦⩻⨪$6935$∀⇚≩$1865$))","expression":"((↽≂(∃⊬BCB⩨∃⊬F17))⩚⊴⇥(∃⊬418*∃⊬CE7↪⪝))⪘⫢(∥⊫(⩦⩻⨪∃⊬1B17∀⇚≩∃⊬749))","highest_n_order":3,"priority_hierarchical_complexity":6,"normalized_expansion_degree":50318,"operation_count":9,"complexity_ratio":5590.888888888889,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"binary","operator":"⩚⊴⇥","left_expr":{"type":"unary","operator":"↽≂","unary_expr":{"type":"binary","operator":"⩨","left_expr":{"type":"numeric_atoms","value":3019,"base":16},"right_expr":{"type":"numeric_atoms","value":3863,"base":16}}},"right_expr":{"type":"unary","operator":"↪⪝","unary_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":1048,"base":16},"right_expr":{"type":"numeric_atoms","value":3303,"base":16}}}},"right_expr":{"type":"unary","operator":"∥⊫","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":6935,"base":16},"right_expr":{"type":"numeric_atoms","value":1865,"base":16}}}}},"used_operators":["oacrs7FA3X","NTOWxs364D","u6S6b8DprG","2DlMacCsIx","l07mrZUIn9","9HNa5Wba9A","P8v4zCKN1o","2td37pGCOC","LRNGc0VcxI"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","D4vGDi5EA2","XhwjNDsVaA","JLbD19bQDL","9HNa5Wba9A","2DDjHMKMc0","W4YGzv6Whe","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3019","layer":4},{"info":"number node, value=3863","layer":4},{"info":"compute binary expreesion, left_input=3019, right_input=3863, op_id = 2DlMacCsIx binary_op_definition= 'a⩨b = { a , if (a⪠⩆⊳)>43 ; ((b/a)≦≮≮) , else }', output=-3","layer":3},{"info":"compute unary expreesion, input=-3, op_id = u6S6b8DprG, unary_op_definition = '↽≂a = { (-(a+a)) , if a<=64 or (-a)>182 or a!=568 ; ((a-a)-(a-a)) , else }', output=6","layer":2},{"info":"number node, value=1048","layer":4},{"info":"number node, value=3303","layer":4},{"info":"compute binary expreesion, left_input=1048, right_input=3303, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=3461544","layer":3},{"info":"compute unary expreesion, input=3461544, op_id = l07mrZUIn9, unary_op_definition = 'a↪⪝ = { ((103⋝⋈⪟a)*(594*a)) }', output=inf","layer":2},{"info":"compute binary expreesion, left_input=6, right_input=inf, op_id = NTOWxs364D binary_op_definition= 'a⩚⊴⇥b = { ((-b)-(121+a)) }', output=-inf","layer":1},{"info":"number node, value=6935","layer":4},{"info":"number node, value=1865","layer":4},{"info":"compute binary expreesion, left_input=6935, right_input=1865, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = P8v4zCKN1o, unary_op_definition = '∥⊫a = { (-(-(868+a))) , if (-a)<497 ; ((-(a+55))+a) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=-inf, 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":"((↽≂(∃⊬BCB⩨∃⊬F17))⩚⊴⇥(∃⊬418*∃⊬CE7↪⪝))⪘⫢(∥⊫(⩦⩻⨪∃⊬1B17∀⇚≩∃⊬749))=NaN","reverse_text":"NaN=((↽≂(∃⊬BCB⩨∃⊬F17))⩚⊴⇥(∃⊬418*∃⊬CE7↪⪝))⪘⫢(∥⊫(⩦⩻⨪∃⊬1B17∀⇚≩∃⊬749))","cot":[{"info":"∃⊬BCB⩨∃⊬F17=∃⊬-3","layer":3},{"info":"↽≂∃⊬-3=∃⊬6","layer":2},{"info":"∃⊬418*∃⊬CE7=∃⊬34D1A8","layer":3},{"info":"∃⊬34D1A8↪⪝=Inf","layer":2},{"info":"∃⊬6⩚⊴⇥Inf=-Inf","layer":1},{"info":"∃⊬1B17∀⇚≩∃⊬749=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"∥⊫NaN=NaN","layer":1},{"info":"-Inf⪘⫢NaN=NaN","layer":0}]}
{"id":990,"expression_no_base_symbol":"(⫓⪴($1245$-$1505$))∼((⪝⪂⫅$2912$)+$3387$⋝⋈⪟$3248$)⋝⋈⪟(($5130$⪢$3410$⫌⩹⨱)⫡⨏($2348$≎⊠⪸$3601$↛⩡⫤))","expression":"(⫓⪴(∃⊬4DD-∃⊬5E1))∼((⪝⪂⫅∃⊬B60)+∃⊬D3B⋝⋈⪟∃⊬CB0)⋝⋈⪟((∃⊬140A⪢∃⊬D52⫌⩹⨱)⫡⨏(∃⊬92C≎⊠⪸∃⊬E11↛⩡⫤))","highest_n_order":4,"priority_hierarchical_complexity":9,"normalized_expansion_degree":1828807,"operation_count":12,"complexity_ratio":152400.58333333334,"tree":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"binary","operator":"∼","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"binary","operator":"-","left_expr":{"type":"numeric_atoms","value":1245,"base":16},"right_expr":{"type":"numeric_atoms","value":1505,"base":16}}},"right_expr":{"type":"binary","operator":"+","left_expr":{"type":"unary","operator":"⪝⪂⫅","unary_expr":{"type":"numeric_atoms","value":2912,"base":16}},"right_expr":{"type":"binary","operator":"⋝⋈⪟","left_expr":{"type":"numeric_atoms","value":3387,"base":16},"right_expr":{"type":"numeric_atoms","value":3248,"base":16}}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":5130,"base":16},"right_expr":{"type":"numeric_atoms","value":3410,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":2348,"base":16},"right_expr":{"type":"numeric_atoms","value":3601,"base":16}}}}},"used_operators":["2DDjHMKMc0","DyGG3AbaNP","eLxqMNBOBk","rysDP5nf3Z","W4YGzv6Whe","XTarYq4gQB","QMFrweE19q","EBcxylXtPf","dWAJyo7jo9","FU0Cs4j7VP","bJkvcejdHO"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","A8NUZmVepG","tmPS8pqC7x","o20kRiQErp","23Mk6UjR3U","AHs5Up7iyr","9HNa5Wba9A","9HNa5Wba9A","8w2t5hMYqp","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","k8jYdgA6NY","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1245","layer":4},{"info":"number node, value=1505","layer":4},{"info":"compute binary expreesion, left_input=1245, right_input=1505, op_id = rysDP5nf3Z binary_op_definition= 'None', output=-260","layer":3},{"info":"compute unary expreesion, input=-260, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=67600","layer":2},{"info":"number node, value=2912","layer":4},{"info":"compute unary expreesion, input=2912, op_id = XTarYq4gQB, unary_op_definition = '⪝⪂⫅a = { ((⊄⩳↩49)*a) }', output=-428064","layer":3},{"info":"number node, value=3387","layer":4},{"info":"number node, value=3248","layer":4},{"info":"compute binary expreesion, left_input=3387, right_input=3248, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=3387","layer":3},{"info":"compute binary expreesion, left_input=-428064, right_input=3387, op_id = W4YGzv6Whe binary_op_definition= 'None', output=-424677","layer":2},{"info":"compute binary expreesion, left_input=67600, right_input=-424677, 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=5130","layer":4},{"info":"number node, value=3410","layer":4},{"info":"compute binary expreesion, left_input=5130, right_input=3410, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=nan","layer":2},{"info":"number node, value=2348","layer":4},{"info":"number node, value=3601","layer":4},{"info":"compute binary expreesion, left_input=2348, right_input=3601, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=607659","layer":3},{"info":"compute unary expreesion, input=607659, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-91752598","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=-91752598, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DDjHMKMc0 binary_op_definition= 'a⋝⋈⪟b = { ((b+a)+(-b)) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(⫓⪴(∃⊬4DD-∃⊬5E1))∼((⪝⪂⫅∃⊬B60)+∃⊬D3B⋝⋈⪟∃⊬CB0)⋝⋈⪟((∃⊬140A⪢∃⊬D52⫌⩹⨱)⫡⨏(∃⊬92C≎⊠⪸∃⊬E11↛⩡⫤))=NaN","reverse_text":"NaN=(⫓⪴(∃⊬4DD-∃⊬5E1))∼((⪝⪂⫅∃⊬B60)+∃⊬D3B⋝⋈⪟∃⊬CB0)⋝⋈⪟((∃⊬140A⪢∃⊬D52⫌⩹⨱)⫡⨏(∃⊬92C≎⊠⪸∃⊬E11↛⩡⫤))","cot":[{"info":"∃⊬4DD-∃⊬5E1=∃⊬-104","layer":3},{"info":"⫓⪴∃⊬-104=∃⊬10810","layer":2},{"info":"⪝⪂⫅∃⊬B60=∃⊬-68820","layer":3},{"info":"∃⊬D3B⋝⋈⪟∃⊬CB0=∃⊬D3B","layer":3},{"info":"∃⊬-68820+∃⊬D3B=∃⊬-67AE5","layer":2},{"info":"∃⊬10810∼∃⊬-67AE5=NaN","layer":1},{"info":"∃⊬140A⪢∃⊬D52=NaN","layer":3},{"info":"NaN⫌⩹⨱=NaN","layer":2},{"info":"∃⊬92C≎⊠⪸∃⊬E11=∃⊬945AB","layer":3},{"info":"∃⊬945AB↛⩡⫤=∃⊬-5780896","layer":2},{"info":"NaN⫡⨏∃⊬-5780896=NaN","layer":1},{"info":"NaN⋝⋈⪟NaN=NaN","layer":0}]}
{"id":991,"expression_no_base_symbol":"(≤/(↯⪼$1424$)≧⫂∧($1032$+⇶⊼$7313$))⪘⫢((⊄⩳↩$3870$)⫥∨⫟(↣≠⋷$7666$)⨽((⨑⩽⪐$7502$)≋⫹))","expression":"(≤/(↯⪼∃⊬590)≧⫂∧(∃⊬408+⇶⊼∃⊬1C91))⪘⫢((⊄⩳↩∃⊬F1E)⫥∨⫟(↣≠⋷∃⊬1DF2)⨽((⨑⩽⪐∃⊬1D4E)≋⫹))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":220,"operation_count":11,"complexity_ratio":20.0,"tree":{"type":"binary","operator":"⪘⫢","left_expr":{"type":"unary","operator":"≤/","unary_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"unary","operator":"↯⪼","unary_expr":{"type":"numeric_atoms","value":1424,"base":16}},"right_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"numeric_atoms","value":1032,"base":16},"right_expr":{"type":"numeric_atoms","value":7313,"base":16}}}},"right_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":3870,"base":16}},"right_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":7666,"base":16}}},"right_expr":{"type":"unary","operator":"≋⫹","unary_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"numeric_atoms","value":7502,"base":16}}}}},"used_operators":["oacrs7FA3X","eLAdDNolq6","Ph9nP6C5qx","8jW3W4yZS5","TpPTUOHfaN","8HhzD0ZcuI","KYD54nUTWz","8w2t5hMYqp","Asc51vEJeQ","N41Kp7NANJ","AF7qkfDlqP"],"dependent_operators":["sdazOOVcIp","i8ToyICDmI","QMFrweE19q","XhwjNDsVaA","P8v4zCKN1o","2DQ55sFlQl","AF7qkfDlqP","rysDP5nf3Z","rysDP5nf3Z","t8gj7n24qd","eLAdDNolq6","P8v4zCKN1o","k8jYdgA6NY","EBcxylXtPf","XPYlsWDdGa","Z2TMIBDE3Q","8w2t5hMYqp","AHs5Up7iyr","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","8HhzD0ZcuI","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1424","layer":4},{"info":"compute unary expreesion, input=1424, op_id = 8jW3W4yZS5, unary_op_definition = '↯⪼a = { (≤/(a⫌⩹⨱)) , if (∥⊫a)<382 and (⪲⇎a)!=21 ; ((⊄⩳↩988)%(109⩤)) , else }', output=-21","layer":3},{"info":"number node, value=1032","layer":4},{"info":"number node, value=7313","layer":4},{"info":"compute binary expreesion, left_input=1032, right_input=7313, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-21, right_input=nan, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = eLAdDNolq6, unary_op_definition = '≤/a = { (484-a) }', output=nan","layer":1},{"info":"number node, value=3870","layer":4},{"info":"compute unary expreesion, input=3870, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-11610","layer":3},{"info":"number node, value=7666","layer":4},{"info":"compute unary expreesion, input=7666, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-11610, right_input=nan, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":2},{"info":"number node, value=7502","layer":4},{"info":"compute unary expreesion, input=7502, op_id = AF7qkfDlqP, unary_op_definition = '⨑⩽⪐a = { (-((a-a)-(273-a))) , if a>30 ; (((a-a)-(a-789))+((a-a)+(-a))) , else }', output=-7229","layer":3},{"info":"compute unary expreesion, input=-7229, op_id = N41Kp7NANJ, unary_op_definition = 'a≋⫹ = { ((-a)+(-a)) }', output=14458","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=14458, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = oacrs7FA3X binary_op_definition= 'a⪘⫢b = { ((a⨵⪆345)⪨≂(⨑⩽⪐a)) , if ((b∲⫓242)>=654 and (∥⊫a)>649) ; ((b⨵⪆b)/(a⫡⨏b)) , else }', output=nan","layer":0}],"base":16,"result_base":16,"text":"(≤/(↯⪼∃⊬590)≧⫂∧(∃⊬408+⇶⊼∃⊬1C91))⪘⫢((⊄⩳↩∃⊬F1E)⫥∨⫟(↣≠⋷∃⊬1DF2)⨽((⨑⩽⪐∃⊬1D4E)≋⫹))=NaN","reverse_text":"NaN=(≤/(↯⪼∃⊬590)≧⫂∧(∃⊬408+⇶⊼∃⊬1C91))⪘⫢((⊄⩳↩∃⊬F1E)⫥∨⫟(↣≠⋷∃⊬1DF2)⨽((⨑⩽⪐∃⊬1D4E)≋⫹))","cot":[{"info":"↯⪼∃⊬590=∃⊬-15","layer":3},{"info":"∃⊬408+⇶⊼∃⊬1C91=NaN","layer":3},{"info":"∃⊬-15≧⫂∧NaN=NaN","layer":2},{"info":"≤/NaN=NaN","layer":1},{"info":"⊄⩳↩∃⊬F1E=∃⊬-2D5A","layer":3},{"info":"↣≠⋷∃⊬1DF2=NaN","layer":3},{"info":"∃⊬-2D5A⫥∨⫟NaN=NaN","layer":2},{"info":"⨑⩽⪐∃⊬1D4E=∃⊬-1C3D","layer":3},{"info":"∃⊬-1C3D≋⫹=∃⊬387A","layer":2},{"info":"NaN⨽∃⊬387A=NaN","layer":1},{"info":"NaN⪘⫢NaN=NaN","layer":0}]}
{"id":992,"expression_no_base_symbol":"⫛⫱⨽(⊥(($7262$⇼⇔∾$7709$)⨽$1365$⪢$2234$))","expression":"⫛⫱⨽(⊥((∃⊬1C5E⇼⇔∾∃⊬1E1D)⨽∃⊬555⪢∃⊬8BA))","highest_n_order":4,"priority_hierarchical_complexity":4,"normalized_expansion_degree":3605,"operation_count":5,"complexity_ratio":721.0,"tree":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"unary","operator":"⊥","unary_expr":{"type":"binary","operator":"⨽","left_expr":{"type":"binary","operator":"⇼⇔∾","left_expr":{"type":"numeric_atoms","value":7262,"base":16},"right_expr":{"type":"numeric_atoms","value":7709,"base":16}},"right_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"numeric_atoms","value":1365,"base":16},"right_expr":{"type":"numeric_atoms","value":2234,"base":16}}}}},"used_operators":["DlLNRPXxWL","Q3PJZHRvZv","8HhzD0ZcuI","tifHPKVTfV","dWAJyo7jo9"],"dependent_operators":["rGHVDoGpnC","fu6greOZ01","nCS4ZIUYfx","9HNa5Wba9A","DpFCA1CohY","rysDP5nf3Z","t8gj7n24qd","k8jYdgA6NY"],"result":"NaN","longer_result_info":{"target_base":16,"flag":false},"cot_info":[{"info":"number node, value=7262","layer":4},{"info":"number node, value=7709","layer":4},{"info":"compute binary expreesion, left_input=7262, right_input=7709, op_id = tifHPKVTfV binary_op_definition= 'a⇼⇔∾b = { (-(a-b)) }', output=447","layer":3},{"info":"number node, value=1365","layer":4},{"info":"number node, value=2234","layer":4},{"info":"compute binary expreesion, left_input=1365, right_input=2234, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=447, right_input=nan, op_id = 8HhzD0ZcuI binary_op_definition= 'a⨽b = { (⋗⩬⋾((b⨳⩥⨓438)⨳⩥⨓(a*a))) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = Q3PJZHRvZv, unary_op_definition = '⊥a = { (a⨐⩸⫘a) }', 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":"⫛⫱⨽(⊥((∃⊬1C5E⇼⇔∾∃⊬1E1D)⨽∃⊬555⪢∃⊬8BA))=NaN","reverse_text":"NaN=⫛⫱⨽(⊥((∃⊬1C5E⇼⇔∾∃⊬1E1D)⨽∃⊬555⪢∃⊬8BA))","cot":[{"info":"∃⊬1C5E⇼⇔∾∃⊬1E1D=∃⊬1BF","layer":3},{"info":"∃⊬555⪢∃⊬8BA=NaN","layer":3},{"info":"∃⊬1BF⨽NaN=NaN","layer":2},{"info":"⊥NaN=NaN","layer":1},{"info":"⫛⫱⨽NaN=NaN","layer":0}]}
{"id":993,"expression_no_base_symbol":"⨰⫟⨤((≦∁(⊄⩳↩$4256$))⊭↱($2205$∑⇟⊟$3622$⫡⨏$3091$⫥∨⫟$3273$))","expression":"⨰⫟⨤((≦∁(⊄⩳↩∃⊬10A0))⊭↱(∃⊬89D∑⇟⊟∃⊬E26⫡⨏∃⊬C13⫥∨⫟∃⊬CC9))","highest_n_order":4,"priority_hierarchical_complexity":6,"normalized_expansion_degree":268,"operation_count":7,"complexity_ratio":38.285714285714285,"tree":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⊄⩳↩","unary_expr":{"type":"numeric_atoms","value":4256,"base":16}}},"right_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"numeric_atoms","value":2205,"base":16},"right_expr":{"type":"numeric_atoms","value":3622,"base":16}},"right_expr":{"type":"binary","operator":"⫥∨⫟","left_expr":{"type":"numeric_atoms","value":3091,"base":16},"right_expr":{"type":"numeric_atoms","value":3273,"base":16}}}}},"used_operators":["Tw270M8GLb","COABgblf1C","9ICcGScMcE","8w2t5hMYqp","QMFrweE19q","U7g4x0WXJJ","KYD54nUTWz"],"dependent_operators":["sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe","t8gj7n24qd","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","8HhzD0ZcuI","rGHVDoGpnC"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4256","layer":4},{"info":"compute unary expreesion, input=4256, op_id = 8w2t5hMYqp, unary_op_definition = '⊄⩳↩a = { ((-a)-(a+a)) }', output=-12768","layer":3},{"info":"compute unary expreesion, input=-12768, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"number node, value=2205","layer":4},{"info":"number node, value=3622","layer":4},{"info":"compute binary expreesion, left_input=2205, right_input=3622, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":3},{"info":"number node, value=3091","layer":4},{"info":"number node, value=3273","layer":4},{"info":"compute binary expreesion, left_input=3091, right_input=3273, op_id = KYD54nUTWz binary_op_definition= 'a⫥∨⫟b = { (b⨟⋌⩍(144⨽a)) }', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = QMFrweE19q binary_op_definition= 'a⫡⨏b = { 497 , if (-b)==408 and (-a)>=56 ; (((a+783)+(a+a))+((b+a)+(a+b))) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=nan","layer":1},{"info":"compute unary expreesion, input=nan, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":0}],"base":16,"result_base":16,"text":"⨰⫟⨤((≦∁(⊄⩳↩∃⊬10A0))⊭↱(∃⊬89D∑⇟⊟∃⊬E26⫡⨏∃⊬C13⫥∨⫟∃⊬CC9))=NaN","reverse_text":"NaN=⨰⫟⨤((≦∁(⊄⩳↩∃⊬10A0))⊭↱(∃⊬89D∑⇟⊟∃⊬E26⫡⨏∃⊬C13⫥∨⫟∃⊬CC9))","cot":[{"info":"⊄⩳↩∃⊬10A0=∃⊬-31E0","layer":3},{"info":"≦∁∃⊬-31E0=∃⊬43","layer":2},{"info":"∃⊬89D∑⇟⊟∃⊬E26=NaN","layer":3},{"info":"∃⊬C13⫥∨⫟∃⊬CC9=NaN","layer":3},{"info":"NaN⫡⨏NaN=NaN","layer":2},{"info":"∃⊬43⊭↱NaN=NaN","layer":1},{"info":"⨰⫟⨤NaN=NaN","layer":0}]}
{"id":994,"expression_no_base_symbol":"($1026$⋥≓≎$2414$)⪢($2864$⨪↰⇹$4673$)⇷(⋗⩬⋾($1720$⪒$1410$))⨳⩥⨓((⫛⫱⨽($6770$⨰$1903$))⋷($8424$∸)⨐⩸⫘($1426$⊦⊿))","expression":"(∃⊬402⋥≓≎∃⊬96E)⪢(∃⊬B30⨪↰⇹∃⊬1241)⇷(⋗⩬⋾(∃⊬6B8⪒∃⊬582))⨳⩥⨓((⫛⫱⨽(∃⊬1A72⨰∃⊬76F))⋷(∃⊬20E8∸)⨐⩸⫘(∃⊬592⊦⊿))","highest_n_order":4,"priority_hierarchical_complexity":10,"normalized_expansion_degree":7686,"operation_count":13,"complexity_ratio":591.2307692307693,"tree":{"type":"binary","operator":"⨳⩥⨓","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪢","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"numeric_atoms","value":1026,"base":16},"right_expr":{"type":"numeric_atoms","value":2414,"base":16}},"right_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"numeric_atoms","value":2864,"base":16},"right_expr":{"type":"numeric_atoms","value":4673,"base":16}}},"right_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1720,"base":16},"right_expr":{"type":"numeric_atoms","value":1410,"base":16}}}},"right_expr":{"type":"binary","operator":"⋷","left_expr":{"type":"unary","operator":"⫛⫱⨽","unary_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":6770,"base":16},"right_expr":{"type":"numeric_atoms","value":1903,"base":16}}},"right_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"∸","unary_expr":{"type":"numeric_atoms","value":8424,"base":16}},"right_expr":{"type":"unary","operator":"⊦⊿","unary_expr":{"type":"numeric_atoms","value":1426,"base":16}}}}},"used_operators":["nCS4ZIUYfx","mp7IySMOzn","dWAJyo7jo9","Qy55tPpLXF","tmPS8pqC7x","DpFCA1CohY","f6k1SAg4EE","23Mk6UjR3U","DlLNRPXxWL","eewbuw0ToL","fu6greOZ01","o20kRiQErp","14qkJME0vr"],"dependent_operators":["W4YGzv6Whe","rysDP5nf3Z","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","k8jYdgA6NY","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","rJVOvQCfKK","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","3ViojmjbAp","tmPS8pqC7x","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd"],"result":"∃⊬-495C","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1026","layer":4},{"info":"number node, value=2414","layer":4},{"info":"compute binary expreesion, left_input=1026, right_input=2414, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=3835","layer":3},{"info":"number node, value=2864","layer":4},{"info":"number node, value=4673","layer":4},{"info":"compute binary expreesion, left_input=2864, right_input=4673, 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=2864","layer":3},{"info":"compute binary expreesion, left_input=3835, right_input=2864, op_id = dWAJyo7jo9 binary_op_definition= 'a⪢b = {b, if b == 0; (a)%(a⪢(b-1)), if b > 0 and abs(b) < 1000000; -(a)%(a⪢(b+1)), if b < 0 and abs(b) < 1000000; NaN, else}', output=nan","layer":2},{"info":"number node, value=1720","layer":4},{"info":"number node, value=1410","layer":4},{"info":"compute binary expreesion, left_input=1720, right_input=1410, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-3130","layer":3},{"info":"compute unary expreesion, input=-3130, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=9390","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=9390, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=18780","layer":1},{"info":"number node, value=6770","layer":4},{"info":"number node, value=1903","layer":4},{"info":"compute binary expreesion, left_input=6770, right_input=1903, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=4877","layer":3},{"info":"compute unary expreesion, input=4877, op_id = DlLNRPXxWL, unary_op_definition = '⫛⫱⨽a = { (a⨟⋌⩍228) }', output=0","layer":2},{"info":"number node, value=8424","layer":4},{"info":"compute unary expreesion, input=8424, op_id = o20kRiQErp, unary_op_definition = 'a∸ = { (177⨪↰⇹a) }', output=177","layer":3},{"info":"number node, value=1426","layer":4},{"info":"compute unary expreesion, input=1426, op_id = 14qkJME0vr, unary_op_definition = 'a⊦⊿ = { ((-(a+a))-((a+79)-(a-a))) }', output=-4357","layer":3},{"info":"compute binary expreesion, left_input=177, right_input=-4357, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=nan, op_id = 23Mk6UjR3U binary_op_definition= 'a⋷b = { ((-a)+(b+b)) , if a>575 ; (-(a+a)) , else }', output=0","layer":1},{"info":"compute binary expreesion, left_input=18780, right_input=0, op_id = nCS4ZIUYfx binary_op_definition= 'a⨳⩥⨓b = { ((b+a)-(a+a)) }', output=-18780","layer":0}],"base":16,"result_base":16,"text":"(∃⊬402⋥≓≎∃⊬96E)⪢(∃⊬B30⨪↰⇹∃⊬1241)⇷(⋗⩬⋾(∃⊬6B8⪒∃⊬582))⨳⩥⨓((⫛⫱⨽(∃⊬1A72⨰∃⊬76F))⋷(∃⊬20E8∸)⨐⩸⫘(∃⊬592⊦⊿))=∃⊬-495C","reverse_text":"∃⊬-495C=(∃⊬402⋥≓≎∃⊬96E)⪢(∃⊬B30⨪↰⇹∃⊬1241)⇷(⋗⩬⋾(∃⊬6B8⪒∃⊬582))⨳⩥⨓((⫛⫱⨽(∃⊬1A72⨰∃⊬76F))⋷(∃⊬20E8∸)⨐⩸⫘(∃⊬592⊦⊿))","cot":[{"info":"∃⊬402⋥≓≎∃⊬96E=∃⊬EFB","layer":3},{"info":"∃⊬B30⨪↰⇹∃⊬1241=∃⊬B30","layer":3},{"info":"∃⊬EFB⪢∃⊬B30=NaN","layer":2},{"info":"∃⊬6B8⪒∃⊬582=∃⊬-C3A","layer":3},{"info":"⋗⩬⋾∃⊬-C3A=∃⊬24AE","layer":2},{"info":"NaN⇷∃⊬24AE=∃⊬495C","layer":1},{"info":"∃⊬1A72⨰∃⊬76F=∃⊬130D","layer":3},{"info":"⫛⫱⨽∃⊬130D=∃⊬0","layer":2},{"info":"∃⊬20E8∸=∃⊬B1","layer":3},{"info":"∃⊬592⊦⊿=∃⊬-1105","layer":3},{"info":"∃⊬B1⨐⩸⫘∃⊬-1105=NaN","layer":2},{"info":"∃⊬0⋷NaN=∃⊬0","layer":1},{"info":"∃⊬495C⨳⩥⨓∃⊬0=∃⊬-495C","layer":0}]}
{"id":995,"expression_no_base_symbol":"(⨞⊢(⩦⩻⨪$3003$↬$6027$))∲⫓($5830$↛⩡⫤)⋥≓≎$3138$≭$6071$↺($7832$⨐⩸⫘$8006$)∑⇟⊟($6946$⊘)","expression":"(⨞⊢(⩦⩻⨪∃⊬BBB↬∃⊬178B))∲⫓(∃⊬16C6↛⩡⫤)⋥≓≎∃⊬C42≭∃⊬17B7↺(∃⊬1E98⨐⩸⫘∃⊬1F46)∑⇟⊟(∃⊬1B22⊘)","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":17658,"operation_count":11,"complexity_ratio":1605.2727272727273,"tree":{"type":"binary","operator":"∲⫓","left_expr":{"type":"unary","operator":"⨞⊢","unary_expr":{"type":"unary","operator":"⩦⩻⨪","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"numeric_atoms","value":3003,"base":16},"right_expr":{"type":"numeric_atoms","value":6027,"base":16}}}},"right_expr":{"type":"binary","operator":"↺","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"numeric_atoms","value":5830,"base":16}},"right_expr":{"type":"binary","operator":"≭","left_expr":{"type":"numeric_atoms","value":3138,"base":16},"right_expr":{"type":"numeric_atoms","value":6071,"base":16}}},"right_expr":{"type":"binary","operator":"∑⇟⊟","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"numeric_atoms","value":7832,"base":16},"right_expr":{"type":"numeric_atoms","value":8006,"base":16}},"right_expr":{"type":"unary","operator":"⊘","unary_expr":{"type":"numeric_atoms","value":6946,"base":16}}}}},"used_operators":["i8ToyICDmI","xUOZtlo3hN","2td37pGCOC","B5M0gjZbta","7j4O788W3g","Qy55tPpLXF","FU0Cs4j7VP","rxpJgHHUmx","U7g4x0WXJJ","fu6greOZ01","gu96TGCTMs"],"dependent_operators":["W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rGHVDoGpnC","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","AHs5Up7iyr","AHs5Up7iyr","srAu1WTS94","12rbrZMWeM","3ViojmjbAp","XhwjNDsVaA","t8gj7n24qd","Ph9nP6C5qx","P8v4zCKN1o","AF7qkfDlqP","eewbuw0ToL","8w2t5hMYqp","NTOWxs364D"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=3003","layer":4},{"info":"number node, value=6027","layer":4},{"info":"compute binary expreesion, left_input=3003, right_input=6027, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":3},{"info":"compute unary expreesion, input=nan, op_id = 2td37pGCOC, unary_op_definition = '⩦⩻⨪a = { ((a-a)-(-a)) }', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = xUOZtlo3hN, unary_op_definition = '⨞⊢a = { (-(a+174)) }', output=nan","layer":1},{"info":"number node, value=5830","layer":4},{"info":"compute unary expreesion, input=5830, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-876419","layer":3},{"info":"number node, value=3138","layer":4},{"info":"number node, value=6071","layer":4},{"info":"compute binary expreesion, left_input=3138, right_input=6071, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=-876419, right_input=nan, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=67","layer":2},{"info":"number node, value=7832","layer":4},{"info":"number node, value=8006","layer":4},{"info":"compute binary expreesion, left_input=7832, right_input=8006, op_id = fu6greOZ01 binary_op_definition= 'a⨐⩸⫘b = {a, if b == 0; (a⨐⩸⫘(b-1))⨓(b), if b > 0 and abs(b) < 1000; -(a⨐⩸⫘(b+1))⨓(b), if b < 0 and abs(b) < 1000; NaN, else}', output=nan","layer":3},{"info":"number node, value=6946","layer":4},{"info":"compute unary expreesion, input=6946, op_id = gu96TGCTMs, unary_op_definition = 'a⊘ = { ((a⨰a)/(∥⊫a)) , if (⨑⩽⪐a)!=520 or (a≧⫂∧486)>62 or (⊄⩳↩a)>=602 ; ((-240)⩚⊴⇥a) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=0, op_id = U7g4x0WXJJ binary_op_definition= 'a∑⇟⊟b = { (⨵≀≌b) , if (a⋳⪒898)==671 ; (a≹⇙⪍b) , else }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=67, right_input=nan, op_id = 7j4O788W3g binary_op_definition= 'a↺b = { ((b-a)-(146-b)) , if ((-a)<=494 and (-a)>=758) ; (-(-b)) , else }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=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":"(⨞⊢(⩦⩻⨪∃⊬BBB↬∃⊬178B))∲⫓(∃⊬16C6↛⩡⫤)⋥≓≎∃⊬C42≭∃⊬17B7↺(∃⊬1E98⨐⩸⫘∃⊬1F46)∑⇟⊟(∃⊬1B22⊘)=NaN","reverse_text":"NaN=(⨞⊢(⩦⩻⨪∃⊬BBB↬∃⊬178B))∲⫓(∃⊬16C6↛⩡⫤)⋥≓≎∃⊬C42≭∃⊬17B7↺(∃⊬1E98⨐⩸⫘∃⊬1F46)∑⇟⊟(∃⊬1B22⊘)","cot":[{"info":"∃⊬BBB↬∃⊬178B=NaN","layer":3},{"info":"⩦⩻⨪NaN=NaN","layer":2},{"info":"⨞⊢NaN=NaN","layer":1},{"info":"∃⊬16C6↛⩡⫤=∃⊬-D5F83","layer":3},{"info":"∃⊬C42≭∃⊬17B7=NaN","layer":3},{"info":"∃⊬-D5F83⋥≓≎NaN=∃⊬43","layer":2},{"info":"∃⊬1E98⨐⩸⫘∃⊬1F46=NaN","layer":3},{"info":"∃⊬1B22⊘=∃⊬0","layer":3},{"info":"NaN∑⇟⊟∃⊬0=NaN","layer":2},{"info":"∃⊬43↺NaN=NaN","layer":1},{"info":"NaN∲⫓NaN=NaN","layer":0}]}
{"id":996,"expression_no_base_symbol":"(($2876$⊭↱$2416$)⨎($2125$∲⫓$3918$))+⇶⊼((↣≠⋷$2463$)⨵⪆$3268$∀⇚≩$1069$)≭(($2356$⪄$4111$)⇷($1291$⪒$2973$)⪒(≦∁(⋗⩬⋾$2065$)))","expression":"((∃⊬B3C⊭↱∃⊬970)⨎(∃⊬84D∲⫓∃⊬F4E))+⇶⊼((↣≠⋷∃⊬99F)⨵⪆∃⊬CC4∀⇚≩∃⊬42D)≭((∃⊬934⪄∃⊬100F)⇷(∃⊬50B⪒∃⊬B9D)⪒(≦∁(⋗⩬⋾∃⊬811)))","highest_n_order":5,"priority_hierarchical_complexity":9,"normalized_expansion_degree":5080143,"operation_count":14,"complexity_ratio":362867.35714285716,"tree":{"type":"binary","operator":"≭","left_expr":{"type":"binary","operator":"+⇶⊼","left_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"binary","operator":"⊭↱","left_expr":{"type":"numeric_atoms","value":2876,"base":16},"right_expr":{"type":"numeric_atoms","value":2416,"base":16}},"right_expr":{"type":"binary","operator":"∲⫓","left_expr":{"type":"numeric_atoms","value":2125,"base":16},"right_expr":{"type":"numeric_atoms","value":3918,"base":16}}},"right_expr":{"type":"binary","operator":"⨵⪆","left_expr":{"type":"unary","operator":"↣≠⋷","unary_expr":{"type":"numeric_atoms","value":2463,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3268,"base":16},"right_expr":{"type":"numeric_atoms","value":1069,"base":16}}}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"binary","operator":"⇷","left_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"numeric_atoms","value":2356,"base":16},"right_expr":{"type":"numeric_atoms","value":4111,"base":16}},"right_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1291,"base":16},"right_expr":{"type":"numeric_atoms","value":2973,"base":16}}},"right_expr":{"type":"unary","operator":"≦∁","unary_expr":{"type":"unary","operator":"⋗⩬⋾","unary_expr":{"type":"numeric_atoms","value":2065,"base":16}}}}},"used_operators":["rxpJgHHUmx","TpPTUOHfaN","rJVOvQCfKK","COABgblf1C","i8ToyICDmI","2DQ55sFlQl","Asc51vEJeQ","LRNGc0VcxI","f6k1SAg4EE","mp7IySMOzn","SUmda5xLS4","9ICcGScMcE","DpFCA1CohY"],"dependent_operators":["AHs5Up7iyr","AHs5Up7iyr","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","W4YGzv6Whe","t8gj7n24qd","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","XhwjNDsVaA","AHs5Up7iyr","X99M06cbEe","W4YGzv6Whe","t8gj7n24qd","DZ8iAZOCBD","LRNGc0VcxI","DpFCA1CohY","W4YGzv6Whe","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2876","layer":4},{"info":"number node, value=2416","layer":4},{"info":"compute binary expreesion, left_input=2876, right_input=2416, op_id = COABgblf1C binary_op_definition= 'a⊭↱b = { (((b+b)+(-a))+((-a)+5)) }', output=-915","layer":3},{"info":"number node, value=2125","layer":4},{"info":"number node, value=3918","layer":4},{"info":"compute binary expreesion, left_input=2125, right_input=3918, op_id = i8ToyICDmI binary_op_definition= 'a∲⫓b = { a , if b<=622 ; ((-b)+b) , else }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-915, right_input=0, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=0","layer":2},{"info":"number node, value=2463","layer":4},{"info":"compute unary expreesion, input=2463, op_id = Asc51vEJeQ, unary_op_definition = '↣≠⋷a = { ((a/a)≹⇙⪍(a≹⇙⪍a)) }', output=nan","layer":3},{"info":"number node, value=3268","layer":4},{"info":"number node, value=1069","layer":4},{"info":"compute binary expreesion, left_input=3268, right_input=1069, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = 2DQ55sFlQl binary_op_definition= 'a⨵⪆b = { (402-242) , if b!=134 ; (-a) , else }', output=160","layer":2},{"info":"compute binary expreesion, left_input=0, right_input=160, op_id = TpPTUOHfaN binary_op_definition= 'a+⇶⊼b = {b, if b == 0; (a)≹⇙⪍(a+⇶⊼(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a+⇶⊼(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":1},{"info":"number node, value=2356","layer":4},{"info":"number node, value=4111","layer":4},{"info":"compute binary expreesion, left_input=2356, right_input=4111, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-361221","layer":3},{"info":"number node, value=1291","layer":4},{"info":"number node, value=2973","layer":4},{"info":"compute binary expreesion, left_input=1291, right_input=2973, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4264","layer":3},{"info":"compute binary expreesion, left_input=-361221, right_input=-4264, op_id = mp7IySMOzn binary_op_definition= 'a⇷b = { (b⊉≛↸((a+a)∀⇚≩(⋗⩬⋾a))) }', output=nan","layer":2},{"info":"number node, value=2065","layer":4},{"info":"compute unary expreesion, input=2065, op_id = DpFCA1CohY, unary_op_definition = '⋗⩬⋾a = { (-(-a)) , if (a<=390 and (-a)==853 and (-a)<3) ; ((-a)-(a+a)) , else }', output=-6195","layer":3},{"info":"compute unary expreesion, input=-6195, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=67","layer":2},{"info":"compute binary expreesion, left_input=nan, right_input=67, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=nan, right_input=nan, op_id = rxpJgHHUmx binary_op_definition= 'a≭b = {-22, if b == 0; (a)≹⇙⪍(a≭(b-1)), if b > 0 and abs(b) < 100; -(a)≹⇙⪍(a≭(b+1)), if b < 0 and abs(b) < 100; NaN, else}', output=nan","layer":0}],"base":16,"result_base":16,"text":"((∃⊬B3C⊭↱∃⊬970)⨎(∃⊬84D∲⫓∃⊬F4E))+⇶⊼((↣≠⋷∃⊬99F)⨵⪆∃⊬CC4∀⇚≩∃⊬42D)≭((∃⊬934⪄∃⊬100F)⇷(∃⊬50B⪒∃⊬B9D)⪒(≦∁(⋗⩬⋾∃⊬811)))=NaN","reverse_text":"NaN=((∃⊬B3C⊭↱∃⊬970)⨎(∃⊬84D∲⫓∃⊬F4E))+⇶⊼((↣≠⋷∃⊬99F)⨵⪆∃⊬CC4∀⇚≩∃⊬42D)≭((∃⊬934⪄∃⊬100F)⇷(∃⊬50B⪒∃⊬B9D)⪒(≦∁(⋗⩬⋾∃⊬811)))","cot":[{"info":"∃⊬B3C⊭↱∃⊬970=∃⊬-393","layer":3},{"info":"∃⊬84D∲⫓∃⊬F4E=∃⊬0","layer":3},{"info":"∃⊬-393⨎∃⊬0=∃⊬0","layer":2},{"info":"↣≠⋷∃⊬99F=NaN","layer":3},{"info":"∃⊬CC4∀⇚≩∃⊬42D=NaN","layer":3},{"info":"NaN⨵⪆NaN=∃⊬A0","layer":2},{"info":"∃⊬0+⇶⊼∃⊬A0=NaN","layer":1},{"info":"∃⊬934⪄∃⊬100F=∃⊬-58305","layer":3},{"info":"∃⊬50B⪒∃⊬B9D=∃⊬-10A8","layer":3},{"info":"∃⊬-58305⇷∃⊬-10A8=NaN","layer":2},{"info":"⋗⩬⋾∃⊬811=∃⊬-1833","layer":3},{"info":"≦∁∃⊬-1833=∃⊬43","layer":2},{"info":"NaN⪒∃⊬43=NaN","layer":1},{"info":"NaN≭NaN=NaN","layer":0}]}
{"id":997,"expression_no_base_symbol":"≦∁($1467$⫸⊐$4878$)⋥≓≎$4356$≧⫂∧$1809$%($8072$⪮%⊝$2915$⫌⩹⨱)","expression":"≦∁(∃⊬5BB⫸⊐∃⊬130E)⋥≓≎∃⊬1104≧⫂∧∃⊬711%(∃⊬1F88⪮%⊝∃⊬B63⫌⩹⨱)","highest_n_order":2,"priority_hierarchical_complexity":6,"normalized_expansion_degree":47,"operation_count":7,"complexity_ratio":6.714285714285714,"tree":{"type":"unary","operator":"≦∁","unary_expr":{"type":"binary","operator":"%","left_expr":{"type":"binary","operator":"⋥≓≎","left_expr":{"type":"binary","operator":"⫸⊐","left_expr":{"type":"numeric_atoms","value":1467,"base":16},"right_expr":{"type":"numeric_atoms","value":4878,"base":16}},"right_expr":{"type":"binary","operator":"≧⫂∧","left_expr":{"type":"numeric_atoms","value":4356,"base":16},"right_expr":{"type":"numeric_atoms","value":1809,"base":16}}},"right_expr":{"type":"unary","operator":"⫌⩹⨱","unary_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"numeric_atoms","value":8072,"base":16},"right_expr":{"type":"numeric_atoms","value":2915,"base":16}}}}},"used_operators":["9ICcGScMcE","k8jYdgA6NY","Qy55tPpLXF","mqXw5SEYmG","Ph9nP6C5qx","EBcxylXtPf","IWmyXbctLI"],"dependent_operators":["XhwjNDsVaA","g55IO6H4Gj","xUOZtlo3hN","Qy55tPpLXF","DZ8iAZOCBD","eH2TOUuTDT","AF7qkfDlqP","COABgblf1C","rysDP5nf3Z","W4YGzv6Whe","rysDP5nf3Z","t8gj7n24qd","QMFrweE19q","2DDjHMKMc0","eLAdDNolq6","Qy55tPpLXF","k8jYdgA6NY","AF7qkfDlqP","XPYlsWDdGa","COABgblf1C","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","rysDP5nf3Z","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY"],"result":"∃⊬44E7","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1467","layer":4},{"info":"number node, value=4878","layer":4},{"info":"compute binary expreesion, left_input=1467, right_input=4878, op_id = mqXw5SEYmG binary_op_definition= 'a⫸⊐b = { ((b⋥≓≎16)⊭↱(b⋝⋈⪟43)) , if (a⫡⨏274)>318 and (⨑⩽⪐a)<45 ; ((⪲⇎a)%(≤/a)) , else }', output=19387","layer":3},{"info":"number node, value=4356","layer":4},{"info":"number node, value=1809","layer":4},{"info":"compute binary expreesion, left_input=4356, right_input=1809, op_id = Ph9nP6C5qx binary_op_definition= 'a≧⫂∧b = { (a-b) , if (-b)>136 ; (b-473) , else }', output=1336","layer":3},{"info":"compute binary expreesion, left_input=19387, right_input=1336, op_id = Qy55tPpLXF binary_op_definition= 'a⋥≓≎b = { ((b+b)-(a-33)) , if (a+463)>=40 ; (-(-67)) , else }', output=-16682","layer":2},{"info":"number node, value=8072","layer":4},{"info":"number node, value=2915","layer":4},{"info":"compute binary expreesion, left_input=8072, right_input=2915, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=16460","layer":3},{"info":"compute unary expreesion, input=16460, op_id = EBcxylXtPf, unary_op_definition = 'a⫌⩹⨱ = { (((80+a)+(750-a))+((149+422)+(a+a))) }', output=34321","layer":2},{"info":"compute binary expreesion, left_input=-16682, right_input=34321, op_id = k8jYdgA6NY binary_op_definition= 'None', output=17639","layer":1},{"info":"compute unary expreesion, input=17639, op_id = 9ICcGScMcE, unary_op_definition = '≦∁a = { (((a/301)⊭↱(a⨸⪁a))⋥≓≎(⨞⊢(a⊉≛↸a))) , if ((⨑⩽⪐a)>=427 or (a⪐)<=558) ; a , else }', output=17639","layer":0}],"base":16,"result_base":16,"text":"≦∁(∃⊬5BB⫸⊐∃⊬130E)⋥≓≎∃⊬1104≧⫂∧∃⊬711%(∃⊬1F88⪮%⊝∃⊬B63⫌⩹⨱)=∃⊬44E7","reverse_text":"∃⊬44E7=≦∁(∃⊬5BB⫸⊐∃⊬130E)⋥≓≎∃⊬1104≧⫂∧∃⊬711%(∃⊬1F88⪮%⊝∃⊬B63⫌⩹⨱)","cot":[{"info":"∃⊬5BB⫸⊐∃⊬130E=∃⊬4BBB","layer":3},{"info":"∃⊬1104≧⫂∧∃⊬711=∃⊬538","layer":3},{"info":"∃⊬4BBB⋥≓≎∃⊬538=∃⊬-412A","layer":2},{"info":"∃⊬1F88⪮%⊝∃⊬B63=∃⊬404C","layer":3},{"info":"∃⊬404C⫌⩹⨱=∃⊬8611","layer":2},{"info":"∃⊬-412A%∃⊬8611=∃⊬44E7","layer":1},{"info":"≦∁∃⊬44E7=∃⊬44E7","layer":0}]}
{"id":998,"expression_no_base_symbol":"(⪲⇎($1091$≎⊠⪸$3305$)⨪↰⇹($3402$⋳⪒$1146$))⨓((($5455$⨰$3854$)↬$3709$∀⇚≩$1813$)⩠)","expression":"(⪲⇎(∃⊬443≎⊠⪸∃⊬CE9)⨪↰⇹(∃⊬D4A⋳⪒∃⊬47A))⨓(((∃⊬154F⨰∃⊬F0E)↬∃⊬E7D∀⇚≩∃⊬715)⩠)","highest_n_order":5,"priority_hierarchical_complexity":7,"normalized_expansion_degree":308370,"operation_count":9,"complexity_ratio":34263.333333333336,"tree":{"type":"binary","operator":"⨓","left_expr":{"type":"unary","operator":"⪲⇎","unary_expr":{"type":"binary","operator":"⨪↰⇹","left_expr":{"type":"binary","operator":"≎⊠⪸","left_expr":{"type":"numeric_atoms","value":1091,"base":16},"right_expr":{"type":"numeric_atoms","value":3305,"base":16}},"right_expr":{"type":"binary","operator":"⋳⪒","left_expr":{"type":"numeric_atoms","value":3402,"base":16},"right_expr":{"type":"numeric_atoms","value":1146,"base":16}}}},"right_expr":{"type":"unary","operator":"⩠","unary_expr":{"type":"binary","operator":"↬","left_expr":{"type":"binary","operator":"⨰","left_expr":{"type":"numeric_atoms","value":5455,"base":16},"right_expr":{"type":"numeric_atoms","value":3854,"base":16}},"right_expr":{"type":"binary","operator":"∀⇚≩","left_expr":{"type":"numeric_atoms","value":3709,"base":16},"right_expr":{"type":"numeric_atoms","value":1813,"base":16}}}}},"used_operators":["3ViojmjbAp","XPYlsWDdGa","tmPS8pqC7x","bJkvcejdHO","12rbrZMWeM","sJAwomhLZr","B5M0gjZbta","eewbuw0ToL","LRNGc0VcxI"],"dependent_operators":["tifHPKVTfV","tmPS8pqC7x","2DlMacCsIx","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","rJVOvQCfKK","DIvbN7qnHd","Ph9nP6C5qx","Qy55tPpLXF","2td37pGCOC","EBcxylXtPf","9FxExcQeMw","9HNa5Wba9A","rysDP5nf3Z","t8gj7n24qd","sdazOOVcIp","i8ToyICDmI","k8jYdgA6NY","eH2TOUuTDT","W4YGzv6Whe","Z2TMIBDE3Q","COABgblf1C","rGHVDoGpnC","rysDP5nf3Z","W4YGzv6Whe","t8gj7n24qd","X99M06cbEe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=1091","layer":4},{"info":"number node, value=3305","layer":4},{"info":"compute binary expreesion, left_input=1091, right_input=3305, op_id = bJkvcejdHO binary_op_definition= 'a≎⊠⪸b = { ((b⊠≄⫣)≧⫂∧(259*a)) , if (b⫌⩹⨱)>=594 ; ((⩦⩻⨪b)⋥≓≎(a⩷∴b)) , else }', output=282096","layer":3},{"info":"number node, value=3402","layer":4},{"info":"number node, value=1146","layer":4},{"info":"compute binary expreesion, left_input=3402, right_input=1146, op_id = 12rbrZMWeM binary_op_definition= 'a⋳⪒b = { (((a-b)-(a-a))-((24-a)-(-263))) }', output=5371","layer":3},{"info":"compute binary expreesion, left_input=282096, right_input=5371, 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=282096","layer":2},{"info":"compute unary expreesion, input=282096, op_id = XPYlsWDdGa, unary_op_definition = '⪲⇎a = { (a+a) , if (-a)!=821 ; (a-a) , else }', output=564192","layer":1},{"info":"number node, value=5455","layer":4},{"info":"number node, value=3854","layer":4},{"info":"compute binary expreesion, left_input=5455, right_input=3854, op_id = eewbuw0ToL binary_op_definition= 'a⨰b = { (((a-a)+(a+10))-(-(-b))) }', output=1611","layer":3},{"info":"number node, value=3709","layer":4},{"info":"number node, value=1813","layer":4},{"info":"compute binary expreesion, left_input=3709, right_input=1813, op_id = LRNGc0VcxI binary_op_definition= 'a∀⇚≩b = {b, if a == 0; ((a-1)∀⇚≩b)≫≃, if a > 0 and abs(a) < 1000000; -((a+1)∀⇚≩b)≫≃, if a < 0 and abs(a) < 1000000; NaN, else}', output=nan","layer":3},{"info":"compute binary expreesion, left_input=1611, right_input=nan, op_id = B5M0gjZbta binary_op_definition= 'a↬b = {b, if a == 0; ((a-1)↬b)⨟⋌⩍((a-1)↬b), if a > 0 and abs(a) < 100; -((a+1)↬b)⨟⋌⩍((a+1)↬b), if a < 0 and abs(a) < 100; NaN, else}', output=nan","layer":2},{"info":"compute unary expreesion, input=nan, op_id = sJAwomhLZr, unary_op_definition = 'a⩠ = { (((a+a)⊭↱(a⪨≂a))∲⫓((a⩤)%(a⪐))) }', output=nan","layer":1},{"info":"compute binary expreesion, left_input=564192, 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":"(⪲⇎(∃⊬443≎⊠⪸∃⊬CE9)⨪↰⇹(∃⊬D4A⋳⪒∃⊬47A))⨓(((∃⊬154F⨰∃⊬F0E)↬∃⊬E7D∀⇚≩∃⊬715)⩠)=NaN","reverse_text":"NaN=(⪲⇎(∃⊬443≎⊠⪸∃⊬CE9)⨪↰⇹(∃⊬D4A⋳⪒∃⊬47A))⨓(((∃⊬154F⨰∃⊬F0E)↬∃⊬E7D∀⇚≩∃⊬715)⩠)","cot":[{"info":"∃⊬443≎⊠⪸∃⊬CE9=∃⊬44DF0","layer":3},{"info":"∃⊬D4A⋳⪒∃⊬47A=∃⊬14FB","layer":3},{"info":"∃⊬44DF0⨪↰⇹∃⊬14FB=∃⊬44DF0","layer":2},{"info":"⪲⇎∃⊬44DF0=∃⊬89BE0","layer":1},{"info":"∃⊬154F⨰∃⊬F0E=∃⊬64B","layer":3},{"info":"∃⊬E7D∀⇚≩∃⊬715=NaN","layer":3},{"info":"∃⊬64B↬NaN=NaN","layer":2},{"info":"NaN⩠=NaN","layer":1},{"info":"∃⊬89BE0⨓NaN=NaN","layer":0}]}
{"id":999,"expression_no_base_symbol":"⨈⫕(⫓⪴$4757$)⩷∴($1207$⩷∴$1632$)⪄(($2155$⫡⨏$5351$)↛⩡⫤)","expression":"⨈⫕(⫓⪴∃⊬1295)⩷∴(∃⊬4B7⩷∴∃⊬660)⪄((∃⊬86B⫡⨏∃⊬14E7)↛⩡⫤)","highest_n_order":5,"priority_hierarchical_complexity":5,"normalized_expansion_degree":72170,"operation_count":7,"complexity_ratio":10310.0,"tree":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⪄","left_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"unary","operator":"⫓⪴","unary_expr":{"type":"numeric_atoms","value":4757,"base":16}},"right_expr":{"type":"binary","operator":"⩷∴","left_expr":{"type":"numeric_atoms","value":1207,"base":16},"right_expr":{"type":"numeric_atoms","value":1632,"base":16}}},"right_expr":{"type":"unary","operator":"↛⩡⫤","unary_expr":{"type":"binary","operator":"⫡⨏","left_expr":{"type":"numeric_atoms","value":2155,"base":16},"right_expr":{"type":"numeric_atoms","value":5351,"base":16}}}}},"used_operators":["megm06wKyl","SUmda5xLS4","9FxExcQeMw","eLxqMNBOBk","FU0Cs4j7VP","QMFrweE19q"],"dependent_operators":["8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","8w2t5hMYqp","glklzrTFfD","Qy55tPpLXF","P8v4zCKN1o","f6k1SAg4EE","9HNa5Wba9A","COABgblf1C","rysDP5nf3Z","9HNa5Wba9A","8jW3W4yZS5","SUmda5xLS4","rJVOvQCfKK","k8jYdgA6NY","P8v4zCKN1o","tmPS8pqC7x","2DlMacCsIx","eewbuw0ToL","oacrs7FA3X","W4YGzv6Whe","t8gj7n24qd"],"result":"∃⊬-15","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=4757","layer":4},{"info":"compute unary expreesion, input=4757, op_id = eLxqMNBOBk, unary_op_definition = '⫓⪴a = { (a*a) }', output=22629049","layer":3},{"info":"number node, value=1207","layer":4},{"info":"number node, value=1632","layer":4},{"info":"compute binary expreesion, left_input=1207, right_input=1632, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=-882","layer":3},{"info":"compute binary expreesion, left_input=22629049, right_input=-882, op_id = 9FxExcQeMw binary_op_definition= 'a⩷∴b = { (((a-b)-32)-((b-a)-(a-a))) }', output=45259830","layer":2},{"info":"number node, value=2155","layer":4},{"info":"number node, value=5351","layer":4},{"info":"compute binary expreesion, left_input=2155, right_input=5351, 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=22260","layer":3},{"info":"compute unary expreesion, input=22260, op_id = FU0Cs4j7VP, unary_op_definition = 'a↛⩡⫤ = { (((a⨪↰⇹a)⨪↰⇹(a⨰a))%((a⨪↰⇹a)⪄(a⨎a))) , if (↯⪼a)!=406 ; ((∥⊫(a⪘⫢44))⩨a) , else }', output=-3357349","layer":2},{"info":"compute binary expreesion, left_input=45259830, right_input=-3357349, op_id = SUmda5xLS4 binary_op_definition= 'a⪄b = { (((⊄⩳↩320)⨁⊸⫻)⊭↱((a*72)⋥≓≎(b⪒a))) , if (∥⊫b)!=717 ; b , else }', output=-inf","layer":1},{"info":"compute unary expreesion, input=-inf, 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":"⨈⫕(⫓⪴∃⊬1295)⩷∴(∃⊬4B7⩷∴∃⊬660)⪄((∃⊬86B⫡⨏∃⊬14E7)↛⩡⫤)=∃⊬-15","reverse_text":"∃⊬-15=⨈⫕(⫓⪴∃⊬1295)⩷∴(∃⊬4B7⩷∴∃⊬660)⪄((∃⊬86B⫡⨏∃⊬14E7)↛⩡⫤)","cot":[{"info":"⫓⪴∃⊬1295=∃⊬1594AB9","layer":3},{"info":"∃⊬4B7⩷∴∃⊬660=∃⊬-372","layer":3},{"info":"∃⊬1594AB9⩷∴∃⊬-372=∃⊬2B29C36","layer":2},{"info":"∃⊬86B⫡⨏∃⊬14E7=∃⊬56F4","layer":3},{"info":"∃⊬56F4↛⩡⫤=∃⊬-333AA5","layer":2},{"info":"∃⊬2B29C36⪄∃⊬-333AA5=-Inf","layer":1},{"info":"⨈⫕-Inf=∃⊬-15","layer":0}]}
{"id":1000,"expression_no_base_symbol":"(⨈⫕$2183$⨎$7590$)⨐⩸⫘($1435$⪒$3104$)⪮%⊝($1200$⊠≄⫣)-(⨑⩽⪐((⨰⫟⨤$2151$)↙($2186$*$1070$)))","expression":"(⨈⫕∃⊬887⨎∃⊬1DA6)⨐⩸⫘(∃⊬59B⪒∃⊬C20)⪮%⊝(∃⊬4B0⊠≄⫣)-(⨑⩽⪐((⨰⫟⨤∃⊬867)↙(∃⊬88A*∃⊬42E)))","highest_n_order":5,"priority_hierarchical_complexity":8,"normalized_expansion_degree":9246,"operation_count":11,"complexity_ratio":840.5454545454545,"tree":{"type":"binary","operator":"-","left_expr":{"type":"binary","operator":"⨐⩸⫘","left_expr":{"type":"unary","operator":"⨈⫕","unary_expr":{"type":"binary","operator":"⨎","left_expr":{"type":"numeric_atoms","value":2183,"base":16},"right_expr":{"type":"numeric_atoms","value":7590,"base":16}}},"right_expr":{"type":"binary","operator":"⪮%⊝","left_expr":{"type":"binary","operator":"⪒","left_expr":{"type":"numeric_atoms","value":1435,"base":16},"right_expr":{"type":"numeric_atoms","value":3104,"base":16}},"right_expr":{"type":"unary","operator":"⊠≄⫣","unary_expr":{"type":"numeric_atoms","value":1200,"base":16}}}},"right_expr":{"type":"unary","operator":"⨑⩽⪐","unary_expr":{"type":"binary","operator":"↙","left_expr":{"type":"unary","operator":"⨰⫟⨤","unary_expr":{"type":"numeric_atoms","value":2151,"base":16}},"right_expr":{"type":"binary","operator":"*","left_expr":{"type":"numeric_atoms","value":2186,"base":16},"right_expr":{"type":"numeric_atoms","value":1070,"base":16}}}}},"used_operators":["rysDP5nf3Z","fu6greOZ01","megm06wKyl","rJVOvQCfKK","IWmyXbctLI","f6k1SAg4EE","DIvbN7qnHd","AF7qkfDlqP","yyfyN0ffXY","Tw270M8GLb","9HNa5Wba9A"],"dependent_operators":["3ViojmjbAp","8jW3W4yZS5","TpPTUOHfaN","glklzrTFfD","Q3PJZHRvZv","14qkJME0vr","DhbWaqg5eL","W4YGzv6Whe","Z2TMIBDE3Q","Qy55tPpLXF","t8gj7n24qd","XhwjNDsVaA","9FxExcQeMw","xUOZtlo3hN","k8jYdgA6NY","W4YGzv6Whe","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","rysDP5nf3Z","t8gj7n24qd","W4YGzv6Whe","tmPS8pqC7x","DpFCA1CohY","sdazOOVcIp","dWAJyo7jo9","nCS4ZIUYfx","8HhzD0ZcuI","f6k1SAg4EE","9FxExcQeMw","W4YGzv6Whe"],"result":"NaN","longer_result_info":{"target_base":16,"flag":true},"cot_info":[{"info":"number node, value=2183","layer":4},{"info":"number node, value=7590","layer":4},{"info":"compute binary expreesion, left_input=2183, right_input=7590, op_id = rJVOvQCfKK binary_op_definition= 'a⨎b = { (-(b/b)) , if (-a)!=278 and a>350 and (b⋥≓≎155)==21 ; b , else }', output=7590","layer":3},{"info":"compute unary expreesion, input=7590, op_id = megm06wKyl, unary_op_definition = '⨈⫕a = { (((a+a)⊦⊿)+⇶⊼123) , if (a⩤)!=46 and a==442 and (+⊝⨔a)!=531 ; (↯⪼(⊥(8⨁⊸⫻))) , else }', output=-21","layer":2},{"info":"number node, value=1435","layer":4},{"info":"number node, value=3104","layer":4},{"info":"compute binary expreesion, left_input=1435, right_input=3104, op_id = f6k1SAg4EE binary_op_definition= 'a⪒b = { ((-a)+(-b)) }', output=-4539","layer":3},{"info":"number node, value=1200","layer":4},{"info":"compute unary expreesion, input=1200, op_id = DIvbN7qnHd, unary_op_definition = 'a⊠≄⫣ = { ((-a)-(-a)) }', output=0","layer":3},{"info":"compute binary expreesion, left_input=-4539, right_input=0, op_id = IWmyXbctLI binary_op_definition= 'a⪮%⊝b = { ((b%b)⩷∴(⨞⊢a)) }', output=nan","layer":2},{"info":"compute binary expreesion, left_input=-21, 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":1},{"info":"number node, value=2151","layer":4},{"info":"compute unary expreesion, input=2151, op_id = Tw270M8GLb, unary_op_definition = '⨰⫟⨤a = { (((13⪢a)⨳⩥⨓(a⪢a))⪨≂((a⩷∴417)⨽(758⪒a))) }', output=nan","layer":3},{"info":"number node, value=2186","layer":4},{"info":"number node, value=1070","layer":4},{"info":"compute binary expreesion, left_input=2186, right_input=1070, op_id = 9HNa5Wba9A binary_op_definition= 'None', output=2339020","layer":3},{"info":"compute binary expreesion, left_input=nan, right_input=2339020, op_id = yyfyN0ffXY binary_op_definition= 'a↙b = { (⋗⩬⋾(b⨪↰⇹a)) , if a>=87 ; a , else }', output=nan","layer":2},{"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":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":"(⨈⫕∃⊬887⨎∃⊬1DA6)⨐⩸⫘(∃⊬59B⪒∃⊬C20)⪮%⊝(∃⊬4B0⊠≄⫣)-(⨑⩽⪐((⨰⫟⨤∃⊬867)↙(∃⊬88A*∃⊬42E)))=NaN","reverse_text":"NaN=(⨈⫕∃⊬887⨎∃⊬1DA6)⨐⩸⫘(∃⊬59B⪒∃⊬C20)⪮%⊝(∃⊬4B0⊠≄⫣)-(⨑⩽⪐((⨰⫟⨤∃⊬867)↙(∃⊬88A*∃⊬42E)))","cot":[{"info":"∃⊬887⨎∃⊬1DA6=∃⊬1DA6","layer":3},{"info":"⨈⫕∃⊬1DA6=∃⊬-15","layer":2},{"info":"∃⊬59B⪒∃⊬C20=∃⊬-11BB","layer":3},{"info":"∃⊬4B0⊠≄⫣=∃⊬0","layer":3},{"info":"∃⊬-11BB⪮%⊝∃⊬0=NaN","layer":2},{"info":"∃⊬-15⨐⩸⫘NaN=NaN","layer":1},{"info":"⨰⫟⨤∃⊬867=NaN","layer":3},{"info":"∃⊬88A*∃⊬42E=∃⊬23B0CC","layer":3},{"info":"NaN↙∃⊬23B0CC=NaN","layer":2},{"info":"⨑⩽⪐NaN=NaN","layer":1},{"info":"NaN-NaN=NaN","layer":0}]}